Zeros of the $L$-functions of level one cusp forms
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Numbers
$k$
$i$
$n$ 
$t_n$
12
1
1:
9.22237939992110252224376719274
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
2:
13.9075498613921344064466813288
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
3:
17.4427769782344733135515251371
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
4:
19.6565131419549610001272817563
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
5:
22.3361036372098672756826744592
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
6:
25.2746365481123653567453241931
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
7:
26.8043911583504030325757492336
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
8:
28.8316826241868754450219619130
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
9:
31.1782094983602590644921888908
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
10:
32.7748753822312074418304556733
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
11:
35.1969958412100725942199190841
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
12:
36.7414629767103064958232649607
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
13:
37.7539159756242704784187924179
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
14:
40.2190343742213204846292321284
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
15:
41.7304922893078488311224464031
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
16:
43.5917412355751703336640017489
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
17:
45.0400792137755964760226003970
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
18:
46.1973187531433095953701739789
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
19:
48.3590524780236695426449744763
comment: $a_2=-24$, the root of $\chi_{12,2}$.
12
1
20:
49.2760535365581784091871624121
comment: $a_2=-24$, the root of $\chi_{12,2}$.
16
1
1:
5.26502022758204893749954155127
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
2:
11.8239554601430472501582895915
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
3:
14.4011076707239284418448856645
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
4:
17.5167315928765696748096457920
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
5:
21.2611231128197957287754317892
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
6:
22.8335922871967848219263786748
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
7:
24.3563884120089581854814383351
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
8:
27.5674840864621326571334130497
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
9:
29.6948415162907997221436671903
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
10:
31.3108330698059897535436958912
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
11:
33.1787250218781079579320346979
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
12:
34.3828613058424838251009248518
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
13:
36.9000000766615540099202224645
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
14:
39.2829096460014147292218822981
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
15:
40.3813326686050812706939062216
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
16:
41.2552355876497996727453812119
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
17:
43.2458000222682001403536902838
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
18:
45.2443510062857052613685277859
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
19:
46.7345770845377778526848131977
comment: $a_2=216$, the root of $\chi_{16,2}$.
16
1
20:
48.6085093263774147276707438418
comment: $a_2=216$, the root of $\chi_{16,2}$.
18
1
1:
8.14161047020346189864931807904
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
2:
11.1233342549965164805937448848
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
3:
16.1203821122020606577361772535
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
4:
18.1734111503859006194608586907
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
5:
19.9781067605149362316899457096
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
6:
23.3665897778839800620816022643
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
7:
25.9804636054557979512235215678
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
8:
27.5298187933343023555322706282
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
9:
28.7338742032581589075710948203
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
10:
31.2603560658581983929124350875
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
11:
34.1706587237423174699700990998
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
12:
35.2067106666736084475344290511
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
13:
36.6815547314129274229007203602
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
14:
38.3185993846314277838197443500
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
15:
39.9454960401257040279618304044
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
16:
42.5715769147343967395402180075
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
17:
43.8725149368043229845697863828
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
18:
45.3961325812661127933456381471
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
19:
46.4773450828245903889416146453
comment: $a_2=-528$, the root of $\chi_{18,2}$.
18
1
20:
47.5459515444401193429228842889
comment: $a_2=-528$, the root of $\chi_{18,2}$.
20
1
1:
3.60719823716604384253001609923
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
2:
8.67710676411638555161715343441
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
3:
13.3106419073138433262969517981
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
4:
15.0040325775076665270389299961
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
5:
19.0154539988742758155995796359
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
6:
21.0099303106858164832630712714
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
7:
23.3783110544975263313946630381
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
8:
25.5911862133405883676951534655
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
9:
27.2944520879178092788158876564
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
10:
30.5567260512545880400644894794
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
11:
31.5133996821940255110333738897
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
12:
32.7374525094842405347773423213
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
13:
35.6636811030551473082517204330
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
14:
37.0270947474491259410456685386
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
15:
38.7019291047950342966611344279
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
16:
40.6773107347242799323988299101
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
17:
42.2667752501099956921130379458
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
18:
43.1717529240063131690723685157
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
19:
45.1418917249527420011761397752
comment: $a_2=456$, the root of $\chi_{20,2}$.
20
1
20:
47.3610662095457037674357796060
comment: $a_2=456$, the root of $\chi_{20,2}$.
22
1
1:
5.62147606225101167443889903967
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
2:
10.0025781971728605568360643686
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
3:
13.0999918059655738453119280030
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
4:
16.8678890090669378639737209463
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
5:
18.3509066977236087829407702141
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
6:
21.9294842123736007411988263009
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
7:
23.2370044203154642087852034244
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
8:
26.0447980314378002477852231540
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
9:
28.2155238138282480718835613967
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
10:
29.3158460856964659716770395224
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
11:
32.0438463544717892504969709362
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
12:
33.7647858591435572562378550559
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
13:
35.4167701222623218887719209321
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
14:
36.9316534824363498609400978234
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
15:
39.2225246998058020125251548259
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
16:
40.6292592342957186592284518492
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
17:
41.6599506364624675858765259611
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
18:
44.7828864697944190765158875710
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
19:
45.0861094279842984503474970563
comment: $a_2=-288$, the root of $\chi_{22,2}$.
22
1
20:
46.4685002890085770318732456582
comment: $a_2=-288$, the root of $\chi_{22,2}$.
24
1
1:
1.88602626271288641226254344200
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
2:
8.15008823357298162013000032833
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
3:
9.80549024422417286490367104270
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
4:
14.2468572989078864204357743901
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
5:
17.3304625330465949449967830485
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
6:
19.1844948804111237003101369454
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
7:
20.9341100717661806571084475957
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
8:
25.0626224434553583258462888927
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
9:
26.0800241225435661921466440511
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
10:
27.7197539296451057435726730096
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
11:
29.8397012357838367490961635495
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
12:
31.9800539860216699197393736203
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
13:
34.1647923541649298351249763889
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
14:
36.3728840061641264465955477373
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
15:
36.9627670515439333624231536345
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
16:
38.0898699569258140244962154025
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
17:
40.9387613943955935684000185939
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
18:
42.9790893815614108919612345900
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
19:
44.0149260290216454096487703576
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
1
20:
45.3170520066439118945248497078
comment: $a_2$ is root 1 of $\chi_{24,2}$ in increasing order; $a_2\approx -4016.351171716245$.
24
2
1:
3.46542238195904954925506904775
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
2:
6.07058342244853426264178449878
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
3:
11.7951431742309392949686484592
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
4:
13.8195544580482399180313230049
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
5:
15.9647754764114397792158244599
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
6:
20.1143641854249114640855182295
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
7:
22.2607349530459410294322922458
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
8:
23.3901833685180356172243851339
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
9:
25.4348096572248861401209693951
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
10:
28.8070175367571398520551213190
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
11:
30.5515020266578084800512026830
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
12:
31.9514139914589248129109107585
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
13:
33.2657746251819087817988830065
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
14:
35.0858930687576489373448896715
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
15:
38.0898756742163767002841658708
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
16:
39.4747725714139279670730528967
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
17:
40.6367996141295152603508796085
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
18:
42.1206747940281508157123019134
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
19:
43.1841793478796063248627377320
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
24
2
20:
45.6770502463076301422396526889
comment: $a_2$ is root 2 of $\chi_{24,2}$ in increasing order; $a_2\approx 5096.351171716245$.
26
1
1:
4.43532131875266390947498555989
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
2:
8.33258317067327860689349900803
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
3:
11.7008994120241005044565023056
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
4:
14.6116085618940103258390184002
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
5:
17.4308205281268448424158413831
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
6:
19.6281434922283148127031394142
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
7:
22.4226820300576450831855478285
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
8:
23.9331225157346389282294279378
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
9:
26.8853720629705000056655119861
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
10:
27.9229670183165892914353246015
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
11:
30.7355739129158087764274846170
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
12:
31.8525621862717233705096307903
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
13:
34.2559312257237513846138019343
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
14:
35.7120876004166369888534437867
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
15:
37.3917255094795673123947454518
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
16:
39.5222890203110613239609940684
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
17:
40.5896812887068215730376493828
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
18:
42.5871809336448198282067462576
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
19:
44.0100437099993620897948714198
comment: $a_2=-48$, the root of $\chi_{26,2}$.
26
1
20:
45.9906092219207750131127406413
comment: $a_2=-48$, the root of $\chi_{26,2}$.
28
1
1:
0.877191859570262290319324466835
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
2:
6.56510505470169432955925772781
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
3:
9.53724464031090735941977763406
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
4:
11.5217584860822641474969330206
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
5:
16.5058294612308497095061009213
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
6:
17.5921096602452760944460083940
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
7:
19.5026577406176582438522179745
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
8:
22.5018854502910366319543751138
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
9:
25.1175068558398106777810845148
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
10:
27.1056395981203310883273111768
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
11:
28.4420884000636885257076859963
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
12:
29.5246669934671735623891735861
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
13:
33.1651742406382005490432548578
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
14:
34.8684687290705513764115205485
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
15:
35.5728017021437177669201445624
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
16:
37.5161986314671315903309654696
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
17:
39.0176421501198145764679888158
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
18:
40.8558731125326130469941278686
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
19:
43.2241079585571997252233768244
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
1
20:
44.8836455381743904420281952649
comment: $a_2$ is root 1 of $\chi_{28,2}$ in increasing order; $a_2\approx -18713.59859471915$.
28
2
1:
2.60840721330549053446694296621
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
2:
5.49504866683922240527961455874
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
3:
9.34895413728117552675839119868
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
4:
13.3084139482981548377919443338
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
5:
14.3927045175069073794057663660
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
6:
17.8462453011601506178212978287
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
7:
20.7973796885363818583133710259
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
8:
22.2189237112036075081892434661
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
9:
24.6441464495835660908765919615
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
10:
26.2407342959829589014861996195
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
11:
29.1093656906086030683606288298
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
12:
30.9024410626892027508743645537
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
13:
32.3180369419243359789819500116
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
14:
33.5556247956814122530634427732
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
15:
36.5343725024521662397728856863
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
16:
37.3985982227215342308304211416
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
17:
39.8150326493151960363916066466
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
18:
41.1622674816289016496604226415
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
19:
42.1129372407286444431127721627
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
28
2
20:
44.1855788235987448377603991292
comment: $a_2$ is root 2 of $\chi_{28,2}$ in increasing order; $a_2\approx 10433.59859471915$.
30
1
1:
3.34698244840578429721006084056
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
2:
7.94986656085872488432690673946
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
3:
9.63724978226891863228638901312
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
4:
13.3869237490859103259654121998
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
5:
15.9291704207789608643693258082
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
6:
18.8216950901126758766373375544
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
7:
19.9337743846036885921593646540
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
8:
22.9113209595764456652857785710
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
9:
25.7286865766048514703042891272
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
10:
26.6035232091856375262800346622
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
11:
28.6099814957012285217775261740
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
12:
31.2440548389840212284463555880
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
13:
32.1412034762672621749901971649
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
14:
35.1384295805250051157498609009
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
15:
36.1624756300753361614106242720
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
16:
37.5927508648460422985116481575
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
17:
39.1073158570747338235173292892
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
18:
41.6871554580427867506072531236
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
19:
42.8666151365004936199042841736
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
1
20:
44.4337190254357617615561099303
comment: $a_2$ is root 1 of $\chi_{30,2}$ in increasing order; $a_2\approx -17433.90502875288$.
30
2
1:
4.46985241121272394578930720162
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
2:
6.12312213314869983040118889323
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
3:
11.2250645196210984198874883879
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
4:
12.8603994287868350442243035866
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
5:
15.7957279234641426037297586781
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
6:
17.9860626445037635612999012369
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
7:
21.5832332798874007711064910520
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
8:
22.9966194962953921634503786540
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
9:
23.8502314134166530809236788791
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
10:
27.4545864216929605546579321669
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
11:
29.0955205145114147599996928838
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
12:
30.8455796184181272778240102640
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
13:
32.8316425041759381654630374952
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
14:
34.1035058053463609428203968227
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
15:
35.6624300384496049900467110498
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
16:
38.8164440073307916355147338235
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
17:
39.8842400884728930023642732219
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
18:
40.7553136404840749263950324776
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
19:
42.2078218834785990550341346632
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
30
2
20:
44.6747522440260026262234380051
comment: $a_2$ is root 2 of $\chi_{30,2}$ in increasing order; $a_2\approx 26073.90502875288$.
32
1
1:
1.22818716050636831349375206415
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
2:
5.28996082164204900634330635759
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
3:
8.53961718788590255420113429821
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
4:
10.8465195373574211601951746265
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
5:
13.9049525626889252525677597757
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
6:
17.2108587881570251392441648380
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
7:
18.2118740100902705260705301270
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
8:
21.1113024722027751906855132386
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
9:
23.2307744041011164645439856949
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
10:
25.5981504548287806899405217707
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
11:
27.5043707833143711461127508572
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
12:
28.7714462671564365090950407233
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
13:
30.9674605512802807031231955169
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
14:
33.2716017771917852635472624249
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
15:
34.7132016741116061200655356904
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
16:
36.6419272992022241552205805399
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
17:
37.4961409087114291394740445702
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
18:
40.1984231593534527507988055348
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
19:
40.8585584878942751097792339339
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
1
20:
43.3747375632258016676651865723
comment: $a_2$ is root 1 of $\chi_{32,2}$ in increasing order; $a_2\approx -31347.87172677239$.
32
2
1:
2.85476292460552992262642155636
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
2:
4.48743998605134772879277686601
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
3:
7.89917515449525060067387069171
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
4:
12.0098051472476887651431378627
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
5:
14.1821587787508633037978412497
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
6:
15.2515306442028429590390109096
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
7:
19.6749680888118139117280251832
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
8:
21.1589914692855597218944554595
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
9:
23.3311169081734239894043190732
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
10:
24.7460160435958637183094086621
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
11:
27.0495450565422518939716462483
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
12:
30.3223264379928262169186257113
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
13:
31.3097326899994706708140158882
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
14:
32.1305595613732468734749529610
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
15:
34.2060229503562439072889521110
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
16:
36.6647828586776775922997770468
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
17:
38.5079870444107922291140489237
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
18:
39.8051207471427075925524769040
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
19:
41.5531384892693269524396698414
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
32
2
20:
42.8050346754356604831716266546
comment: $a_2$ is root 2 of $\chi_{32,2}$ in increasing order; $a_2\approx 71307.87172677239$.
34
1
1:
2.31107464957568549956618907631
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
2:
7.58479795202813569245751961691
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
3:
8.94275042582456244187408063610
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
4:
11.1625927243852570370745164865
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
5:
15.3115025503150964769647756859
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
6:
17.4223331843071452636611139842
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
7:
19.2585133637716686000111043788
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
8:
20.4718546450687855062009565015
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
9:
24.5320688400673008048192415615
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
10:
26.1730517330842186914421028945
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
11:
27.2968621768462437430028016065
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
12:
28.9604526364544338488391951149
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
13:
31.0819500141091475605549048363
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
14:
33.8748040838459445109033239165
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
15:
35.2699401163297676929080485280
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
16:
36.7720124752823754994010882829
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
17:
37.5945313665926146619302462579
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
18:
39.2549490963304679833480720897
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
19:
42.4485464147215105864227226454
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
1
20:
43.4643332587386459439004668564
comment: $a_2$ is root 1 of $\chi_{34,2}$ in increasing order; $a_2\approx -171359.4371321172$.
34
2
1:
3.56400685368044213449625106689
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
2:
5.97786009657894493138722886448
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
3:
9.33742096968770023108544437514
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
4:
12.3882438339161159845384459028
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
5:
14.3315453424621662984606485056
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
6:
16.9972932298103860045833865594
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
7:
19.3773781417136284830064171087
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
8:
22.0821285219094704493099602424
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
9:
23.1716471022387304356934335311
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
10:
25.6162664348483779699236021859
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
11:
27.6990293728880208415647070982
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
12:
29.6569682531921400966800250169
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
13:
31.6509566041935182422675666070
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
14:
32.7420579089683081075222544270
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
15:
34.9644245861547491876882165227
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
16:
36.4902212096962471611603526509
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
17:
38.5777019038877238864653128492
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
18:
40.1553814804872682880320240597
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
19:
41.3588068734304760275934405168
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
34
2
20:
42.8436806432488745371193299361
comment: $a_2$ is root 2 of $\chi_{34,2}$ in increasing order; $a_2\approx 49679.43713211717$.
36
1
1:
0.372953658287322702677564856040
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
2:
4.84357168970594102502750076522
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
3:
7.56742165052681597633141970493
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
4:
10.3482631113164635668338629516
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
5:
12.1412454562877568086826783828
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
6:
16.1135150868630206700063052188
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
7:
17.5983014434916530102359421451
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
8:
19.2201479023030898326742791608
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
9:
22.4459581146028925139371305750
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
10:
23.6778520151137365082066788907
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
11:
26.7689007219407913757686196244
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
12:
27.8781657091183332376477225669
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
13:
29.1276813441262340449690589579
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
14:
31.6634029428274521134787642098
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
15:
34.2559501807015882979054223534
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
16:
34.9825089786838664978570252267
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
17:
36.4203225728017579858701610728
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
18:
38.7996072484113491873869147076
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
19:
39.8463005196178873487773256306
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
1
20:
41.5981146945738992890930821062
comment: $a_2$ is root 1 of $\chi_{36,2}$ in increasing order; $a_2\approx -165109.1678324939$.
36
2
1:
1.83589775632061795320516641947
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
2:
4.13950803345000955418253124047
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
3:
8.15752179612092957369385735971
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
4:
9.45970382637989849788874875892
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
5:
13.5418746594920610126992995578
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
6:
14.6385050019257991251042131953
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
7:
18.0062615086351142598524246123
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
8:
19.8411599049681662669256824483
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
9:
21.6099052100709649923717546718
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
10:
24.5121399124909156244504419461
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
11:
26.1300739128275170093050834808
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
12:
27.4115951414096547277682488891
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
13:
30.4251815254025908417044638309
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
14:
31.5408539304409551498202562329
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
15:
32.9274151526226469197871544722
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
16:
35.8041471642140831588204097700
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
17:
36.9989268653062448929535539351
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
18:
37.7734357098633174607894691317
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
19:
40.4613401915085414885689890632
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
2
20:
41.8809346289764528858920520721
comment: $a_2$ is root 2 of $\chi_{36,2}$ in increasing order; $a_2\approx -26808.00761087159$.
36
3
1:
2.28810375041348958159043620596
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
2:
4.94822276660157313077474188750
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
3:
6.18932512378858861994327713434
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
4:
11.1064324624125694070530412129
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
5:
13.0592429996980523216193227582
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
6:
14.6701683117173741067532259059
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
7:
17.1651909138442577106706273399
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
8:
20.9027711367817626698621377333
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
9:
22.1043266150391639638467274807
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
10:
23.6351536592679765777354065549
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
11:
25.2420492011110085426253194424
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
12:
28.7946402967066045673656001789
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
13:
29.9978254391101471135627514778
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
14:
31.7533326758214725476561253091
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
15:
33.3905771633757145286916853649
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
16:
34.1316753725696846038643379431
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
17:
37.2774699859020412034321940007
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
18:
39.2496993635850555237691118649
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
19:
40.4850724374686513085664995235
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
36
3
20:
41.1318516350197206705235812041
comment: $a_2$ is root 3 of $\chi_{36,2}$ in increasing order; $a_2\approx 331573.1754433655$.
38
1
1:
2.19691573656503192005496061157
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
2:
6.23021964751350246881882725271
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
3:
8.97250443268097089803220912278
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
4:
10.2045821862880726764525188625
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
5:
13.5471083333806534929657407222
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
6:
16.7130323984230847960016626738
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
7:
18.0027418512045923564284169040
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
8:
19.8749448166938438876074205461
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
9:
22.2357128137432926420352364751
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
10:
25.4298687948759190207379338662
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
11:
26.1125184524047230336571939431
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
12:
28.4770695742316095597468155762
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
13:
29.3112179946812315014781137890
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
14:
32.2040927769897576296352820751
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
15:
34.0319464161034818378211010633
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
16:
35.7796377336443166643296045720
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
17:
36.9603658815208356314666009239
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
18:
38.0575324692879613791431090504
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
19:
40.4268469667185856884354584099
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
1
20:
42.0975097404453509293866995673
comment: $a_2$ is root 1 of $\chi_{38,2}$ in increasing order; $a_2\approx -480411.7539742225$.
38
2
1:
3.40942703835798794686937639842
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
2:
5.30469258083104533062022796873
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
3:
8.31337227641902568492528388407
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
4:
11.5013202429083073241190564566
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
5:
13.5857998335818477795674615655
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
6:
15.5141507753674087166828818559
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
7:
18.2487195000524688889170294074
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
8:
20.6365335886132498863510186770
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
9:
22.7692961438305195674011475709
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
10:
23.8432221061368714754082431654
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
11:
26.4962606458403924591381750172
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
12:
28.2702580980090559435563402900
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
13:
30.8568564010931758510944004228
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
14:
31.5295749051187062873714029943
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
15:
33.4951944078571599838760568423
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
16:
35.3221525588835426520462029849
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
17:
37.1132148416969256245482706831
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
18:
39.2835349654665195030474670515
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
19:
40.2073307784439073111561374067
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
38
2
20:
41.9140067145700925763007285277
comment: $a_2$ is root 2 of $\chi_{38,2}$ in increasing order; $a_2\approx 286011.7539742225$.
40
1
1:
0.966466068075954900303515791873
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
2:
3.83192808672040979997988668696
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
3:
7.74218623091617256182582349878
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
4:
8.93938338152303306477408145468
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
5:
11.4631104810224283595446391109
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
6:
14.5595496468203867198539272519
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
7:
16.8061490820160856613491732349
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
8:
18.9916833744161068137439899701
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
9:
20.0429796282643336052574026624
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
10:
23.0635657736563051208712274250
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
11:
25.3727634709147129092800115962
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
12:
27.0696917441114875740495247494
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
13:
27.9107667632875737232210016360
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
14:
30.6074195865467295070315108026
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
15:
31.9822271318269770913873463471
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
16:
34.6588615091118193152839961757
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
17:
35.7156020913597725046737895763
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
18:
37.1999304649898619423696120100
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
19:
38.4616602825585190791491734929
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
1
20:
40.5158673126142242034763804378
comment: $a_2$ is root 1 of $\chi_{40,2}$ in increasing order; $a_2\approx -799151.7631007462$.
40
2
1:
1.05083340459810309799694031290
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
2:
4.80382247805960569135205656045
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
3:
6.06969296648389121288607488698
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
4:
9.74557975774979776550823203232
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
5:
11.9556877910976737381283189458
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
6:
13.9760090515155017219353649092
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
7:
17.1595612223814091327103688711
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
8:
17.9580044095801067795173409959
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
9:
21.7000880809371572249143833741
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
10:
22.5901150386566503926811698637
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
11:
24.4171199510428292394728105875
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
12:
27.2133587377327095395852900315
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
13:
28.6708555444167004525951983033
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
14:
30.1910976587701414604646724932
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
15:
32.6776853759995655773105031709
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
16:
33.7553947816361999481483951819
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
17:
35.5004194485078294315093662133
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
18:
37.2675739629543502533838189758
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
19:
39.6465468543761513080600877535
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
2
20:
40.6496917399462086844432006735
comment: $a_2$ is root 2 of $\chi_{40,2}$ in increasing order; $a_2\approx 241487.7444577613$.
40
3
1:
2.58530357855283309025364860921
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
2:
3.73611095458183108711647296791
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
3:
6.36775973215910596074086255632
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
4:
9.31894697424323157587411726047
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
5:
12.9639610092264954536731146842
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
6:
13.9088817521627407342207627145
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
7:
15.5731429558020580779263099098
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
8:
19.4894053378731680675969792917
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
9:
21.0849656995546977348975137387
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
10:
22.6918903861573208484253171327
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
11:
24.8985888400592495437029600511
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
12:
26.0205178007450876301228264274
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
13:
29.4454209533933960143678795037
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
14:
30.9613016550425598862172464947
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
15:
32.1756951550758265785765732650
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
16:
32.9438095116780509591582469804
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
17:
35.8561926667865102271987701009
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
18:
37.7116866932305577945130509595
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
19:
39.0169518222749602603746217049
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
40
3
20:
41.0114521426343514682087700855
comment: $a_2$ is root 3 of $\chi_{40,2}$ in increasing order; $a_2\approx 1106520.018642985$.
Definition
For the normalised Hecke eigenforms $f_{k,i}\in S_k(\mathrm{SL}_2(\mathbb{Z}))$ [1], this table gives the positive ordinates $t_n$ of zeros of $L(f_{k,i},s)$ [2] on $\operatorname{Re}s=k/2$, ordered increasingly from $n=1$.
Parameters
$k$
—   weight ($k$ is even and $\dim S_k(\mathrm{SL}_2(\mathbb{Z}))>0$)
$i$
—   position by increasing $a_2$ ($1\leq i\leq\dim S_k(\mathrm{SL}_2(\mathbb{Z}))$, with positions counted after sorting the eigenforms by increasing $a_2$)
$n$
—   index of the positive zero ($n\geq1$)
Formulas
(1)
The completed $L$-function is $\Lambda(f,s)=(2\pi)^{-s}\Gamma(s)L(f,s)$, and for level one it satisfies $\Lambda(f,s)=(-1)^{k/2}\Lambda(f,k-s)$.
Comments
(2)
The table uses the arithmetic normalisation: for $f(q)=\sum_{m\geq1}a_mq^m$, $a_1=1$ and $L(f,s)$ is the analytic continuation of $\sum_{m\geq1}a_m m^{-s}$. In this normalisation the functional equation relates $s$ and $k-s$, the centre is $s=k/2$, and the nontrivial zeros lie in the central strip $(k-1)/2\leq\operatorname{Re}s\leq(k+1)/2$; the entries here are zeros on the critical line $\operatorname{Re}s=k/2$. The analytic normalisation with centre $1/2$ is $L^{\mathrm{an}}(f,s)=L(f,s+(k-1)/2)$, so the ordinates $t_n$ are the same in both normalisations. The $k=12$ rows are zeros of the Ramanujan tau $L$-function in this normalisation.
(3)
The index $i$ counts the eigenforms of weight $k$ in increasing order of the embedded $T_2$-eigenvalue $a_2$; this is not necessarily the order Sage or PARI lists them in. Each entry gives its own $a_2$ and links to $\chi_{k,2}$ in the Hecke polynomial table, whose roots are the $a_2$ values in that weight.
(4)
The sign of the functional equation is $(-1)^{k/2}$, so for $k\equiv2\pmod4$ the central value $L(f,k/2)$ vanishes and the central zero has order $1$ for the entries here. Those forced zeros are omitted from the entries.
(5)
The forms in this table are self-dual, so the noncentral critical-line zeros occur in pairs $k/2\pm\mathrm{i}t$. Only the positive ordinates $t>0$ are listed.
Programs
(P1)
PARI/GP
default(realbitprecision, 330);
k = 24; i = 1; n = 1;
mf = mfinit([1,k], 0);
Ls = concat(lfunmf(mf));
P = vecsort(vector(#Ls, j, [real(lfunan(Ls[j], 2)[2]), Ls[j]]), 1);
lfunzeros(P[i][2], 50, 16)[n]       \\ 1.88602626271288641226254344200...
Links
Similar tables
Special values of the $L$-functions of level one cusp forms —   stores critical values of the same level one cusp-form $L$-functions in the same eigenform ordering
Hecke polynomials of level one cusp forms —   stores the characteristic polynomials whose $T_2$ roots order the eigenforms used here
$q$-expansion of the modular discriminant $\Delta$ —   stores the coefficients of the weight $12$ eigenform whose first zero ordinates are the $k=12$ rows here
Zeros of the Riemann zeta function —   stores both signs of the zero ordinates for the degree-one $L$-function $\zeta(s)$
Zeros of Dirichlet $L$-functions —   stores both signs of the zero ordinates for Dirichlet $L$-functions
Data properties
Entries are of type: real number
How well the digits are known: heuristic (agreement-checked)
Table is complete: no (it holds the first twenty positive zero ordinates for every even weight $12\leq k\leq40$ with $\dim S_k(\mathrm{SL}_2(\mathbb{Z}))>0$ and every eigenform in the increasing-$a_2$ ordering; across these groups the twentieth ordinate ranges from $40.5$ to $49.3$)
How they were obtained:

PARI/GP's lfunzeros [3] is not a certified enclosure method and may miss zeros, so the table does not claim proven zeros.

more

The generator uses PARI/GP's lfunmf and lfunzeros at $80$ and $120$ decimal working digits, asks lfunzeros for zeros up to height $80$ with divz = 16, and stores only digits that agree between the two runs. For each weight it sorts the embedded $L$-functions by the real value of $a_2$, checks that order against the exact $T_2$ characteristic polynomial computed in Sage, and refuses a weight with repeated $a_2$ values.