Properties

Label 135.2.p.a.124.11
Level 135135
Weight 22
Character 135.124
Analytic conductor 1.0781.078
Analytic rank 00
Dimension 9696
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [135,2,Mod(4,135)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(135, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("135.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 135=335 135 = 3^{3} \cdot 5
Weight: k k == 2 2
Character orbit: [χ][\chi] == 135.p (of order 1818, degree 66, minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: 1.077980427291.07798042729
Analytic rank: 00
Dimension: 9696
Relative dimension: 1616 over Q(ζ18)\Q(\zeta_{18})
Twist minimal: yes
Sato-Tate group: SU(2)[C18]\mathrm{SU}(2)[C_{18}]

Embedding invariants

Embedding label 124.11
Character χ\chi == 135.124
Dual form 135.2.p.a.49.11

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(0.7959840.948617i)q2+(0.5959311.62630i)q3+(0.0810128+0.459446i)q4+(2.00198+0.996037i)q5+(1.068391.85982i)q6+(2.241300.395202i)q7+(2.64518+1.52719i)q8+(2.289731.93833i)q9+(2.538401.10628i)q10+(4.87230+1.77337i)q11+(0.795478+0.142047i)q12+(0.9938361.18441i)q13+(2.15894+1.81156i)q14+(2.812902.66225i)q15+(2.677450.974511i)q16+(4.61649+2.66533i)q17+(3.66133+0.629199i)q18+(2.287673.96236i)q19+(0.295440+1.00049i)q20+(1.97838+3.40953i)q21+(2.19602+6.03353i)q22+(5.063180.892775i)q23+(4.060033.39176i)q24+(3.01582+3.98808i)q251.91463q26+(4.51684+2.56869i)q271.06177iq28+(4.94693+4.15097i)q29+(0.2864374.78748i)q30+(0.2280691.29344i)q31+(0.882557+2.42480i)q32+(0.0195113+8.98066i)q33+(1.14627+6.50084i)q34+(4.093403.02361i)q35+(0.7050611.20904i)q36+(3.187541.84032i)q37+(1.937815.32410i)q38+(2.51847+0.910455i)q39+(3.77444+5.69210i)q40+(3.266442.74087i)q41+(1.65958+4.59066i)q42+(2.886127.92956i)q43+(1.209492.09490i)q44+(2.653346.16115i)q45+(3.183315.51365i)q46+(6.687211.17913i)q47+(0.01072194.93508i)q48+(1.710590.622605i)q49+(6.18371+0.313593i)q50+(1.58353+9.09617i)q51+(0.4636580.552567i)q52+6.64507iq53+(1.15863+6.32939i)q54+(11.52061.30274i)q55+(5.325094.46828i)q56+(5.080716.08174i)q57+(7.875361.38864i)q58+(2.83430+1.03160i)q59+(1.45104+1.07670i)q60+(0.9997965.67013i)q61+(1.408520.813210i)q62+(4.36595+5.24929i)q63+(4.44699+7.70241i)q64+(0.8099233.36106i)q65+(8.50367+7.16697i)q66+(2.22595+2.65278i)q67+(1.598571.90510i)q68+(1.565388.76630i)q69+(6.12653+1.47633i)q70+(0.01304870.0226011i)q71+(3.096548.62409i)q72+(5.00704+2.89081i)q73+(0.7914654.48862i)q74+(8.283062.52802i)q75+(2.00582+0.730059i)q76+(11.62112.04912i)q77+(1.14099+3.11377i)q78+(12.684510.6435i)q79+(6.33083+0.715887i)q80+(1.48575+8.87652i)q815.28029iq82+(6.962798.29793i)q83+(1.726770.632744i)q84+(11.8969+0.737738i)q85+(9.819433.57398i)q86+(9.698775.57153i)q87+(15.59642.75006i)q88+(2.323084.02369i)q89+(7.956592.38717i)q90+(1.75941+3.04738i)q91+(0.820364+2.25393i)q92+(2.239440.399893i)q93+(6.44146+5.40503i)q94+(8.526515.65395i)q95+(3.41753+2.88032i)q96+(2.48117+6.81695i)q97+(1.95222+1.12712i)q98+(14.5937+5.38358i)q99+O(q100)q+(0.795984 - 0.948617i) q^{2} +(0.595931 - 1.62630i) q^{3} +(0.0810128 + 0.459446i) q^{4} +(2.00198 + 0.996037i) q^{5} +(-1.06839 - 1.85982i) q^{6} +(-2.24130 - 0.395202i) q^{7} +(2.64518 + 1.52719i) q^{8} +(-2.28973 - 1.93833i) q^{9} +(2.53840 - 1.10628i) q^{10} +(-4.87230 + 1.77337i) q^{11} +(0.795478 + 0.142047i) q^{12} +(-0.993836 - 1.18441i) q^{13} +(-2.15894 + 1.81156i) q^{14} +(2.81290 - 2.66225i) q^{15} +(2.67745 - 0.974511i) q^{16} +(-4.61649 + 2.66533i) q^{17} +(-3.66133 + 0.629199i) q^{18} +(2.28767 - 3.96236i) q^{19} +(-0.295440 + 1.00049i) q^{20} +(-1.97838 + 3.40953i) q^{21} +(-2.19602 + 6.03353i) q^{22} +(5.06318 - 0.892775i) q^{23} +(4.06003 - 3.39176i) q^{24} +(3.01582 + 3.98808i) q^{25} -1.91463 q^{26} +(-4.51684 + 2.56869i) q^{27} -1.06177i q^{28} +(4.94693 + 4.15097i) q^{29} +(-0.286437 - 4.78748i) q^{30} +(-0.228069 - 1.29344i) q^{31} +(-0.882557 + 2.42480i) q^{32} +(-0.0195113 + 8.98066i) q^{33} +(-1.14627 + 6.50084i) q^{34} +(-4.09340 - 3.02361i) q^{35} +(0.705061 - 1.20904i) q^{36} +(3.18754 - 1.84032i) q^{37} +(-1.93781 - 5.32410i) q^{38} +(-2.51847 + 0.910455i) q^{39} +(3.77444 + 5.69210i) q^{40} +(3.26644 - 2.74087i) q^{41} +(1.65958 + 4.59066i) q^{42} +(-2.88612 - 7.92956i) q^{43} +(-1.20949 - 2.09490i) q^{44} +(-2.65334 - 6.16115i) q^{45} +(3.18331 - 5.51365i) q^{46} +(-6.68721 - 1.17913i) q^{47} +(0.0107219 - 4.93508i) q^{48} +(-1.71059 - 0.622605i) q^{49} +(6.18371 + 0.313593i) q^{50} +(1.58353 + 9.09617i) q^{51} +(0.463658 - 0.552567i) q^{52} +6.64507i q^{53} +(-1.15863 + 6.32939i) q^{54} +(-11.5206 - 1.30274i) q^{55} +(-5.32509 - 4.46828i) q^{56} +(-5.08071 - 6.08174i) q^{57} +(7.87536 - 1.38864i) q^{58} +(2.83430 + 1.03160i) q^{59} +(1.45104 + 1.07670i) q^{60} +(0.999796 - 5.67013i) q^{61} +(-1.40852 - 0.813210i) q^{62} +(4.36595 + 5.24929i) q^{63} +(4.44699 + 7.70241i) q^{64} +(-0.809923 - 3.36106i) q^{65} +(8.50367 + 7.16697i) q^{66} +(2.22595 + 2.65278i) q^{67} +(-1.59857 - 1.90510i) q^{68} +(1.56538 - 8.76630i) q^{69} +(-6.12653 + 1.47633i) q^{70} +(-0.0130487 - 0.0226011i) q^{71} +(-3.09654 - 8.62409i) q^{72} +(5.00704 + 2.89081i) q^{73} +(0.791465 - 4.48862i) q^{74} +(8.28306 - 2.52802i) q^{75} +(2.00582 + 0.730059i) q^{76} +(11.6211 - 2.04912i) q^{77} +(-1.14099 + 3.11377i) q^{78} +(-12.6845 - 10.6435i) q^{79} +(6.33083 + 0.715887i) q^{80} +(1.48575 + 8.87652i) q^{81} -5.28029i q^{82} +(6.96279 - 8.29793i) q^{83} +(-1.72677 - 0.632744i) q^{84} +(-11.8969 + 0.737738i) q^{85} +(-9.81943 - 3.57398i) q^{86} +(9.69877 - 5.57153i) q^{87} +(-15.5964 - 2.75006i) q^{88} +(2.32308 - 4.02369i) q^{89} +(-7.95659 - 2.38717i) q^{90} +(1.75941 + 3.04738i) q^{91} +(0.820364 + 2.25393i) q^{92} +(-2.23944 - 0.399893i) q^{93} +(-6.44146 + 5.40503i) q^{94} +(8.52651 - 5.65395i) q^{95} +(3.41753 + 2.88032i) q^{96} +(2.48117 + 6.81695i) q^{97} +(-1.95222 + 1.12712i) q^{98} +(14.5937 + 5.38358i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 96q12q49q56q618q93q106q1118q1421q1524q166q1957q20+24q2130q24+3q25+48q2630q2951q3030q31++36q99+O(q100) 96 q - 12 q^{4} - 9 q^{5} - 6 q^{6} - 18 q^{9} - 3 q^{10} - 6 q^{11} - 18 q^{14} - 21 q^{15} - 24 q^{16} - 6 q^{19} - 57 q^{20} + 24 q^{21} - 30 q^{24} + 3 q^{25} + 48 q^{26} - 30 q^{29} - 51 q^{30} - 30 q^{31}+ \cdots + 36 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/135Z)×\left(\mathbb{Z}/135\mathbb{Z}\right)^\times.

nn 5656 8282
χ(n)\chi(n) e(29)e\left(\frac{2}{9}\right) 1-1

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 0.795984 0.948617i 0.562846 0.670774i −0.407300 0.913294i 0.633530π-0.633530\pi
0.970146 + 0.242521i 0.0779742π0.0779742\pi
33 0.595931 1.62630i 0.344061 0.938947i
44 0.0810128 + 0.459446i 0.0405064 + 0.229723i
55 2.00198 + 0.996037i 0.895311 + 0.445441i
66 −1.06839 1.85982i −0.436168 0.759270i
77 −2.24130 0.395202i −0.847133 0.149372i −0.266800 0.963752i 0.585966π-0.585966\pi
−0.580333 + 0.814379i 0.697077π0.697077\pi
88 2.64518 + 1.52719i 0.935211 + 0.539945i
99 −2.28973 1.93833i −0.763244 0.646110i
1010 2.53840 1.10628i 0.802713 0.349836i
1111 −4.87230 + 1.77337i −1.46905 + 0.534692i −0.947844 0.318736i 0.896742π-0.896742\pi
−0.521211 + 0.853428i 0.674520π0.674520\pi
1212 0.795478 + 0.142047i 0.229635 + 0.0410054i
1313 −0.993836 1.18441i −0.275641 0.328496i 0.610409 0.792087i 0.291005π-0.291005\pi
−0.886049 + 0.463591i 0.846561π0.846561\pi
1414 −2.15894 + 1.81156i −0.577000 + 0.484161i
1515 2.81290 2.66225i 0.726287 0.687391i
1616 2.67745 0.974511i 0.669361 0.243628i
1717 −4.61649 + 2.66533i −1.11966 + 0.646438i −0.941315 0.337530i 0.890409π-0.890409\pi
−0.178348 + 0.983967i 0.557075π0.557075\pi
1818 −3.66133 + 0.629199i −0.862983 + 0.148304i
1919 2.28767 3.96236i 0.524827 0.909027i −0.474755 0.880118i 0.657463π-0.657463\pi
0.999582 0.0289093i 0.00920339π-0.00920339\pi
2020 −0.295440 + 1.00049i −0.0660623 + 0.223717i
2121 −1.97838 + 3.40953i −0.431718 + 0.744020i
2222 −2.19602 + 6.03353i −0.468194 + 1.28635i
2323 5.06318 0.892775i 1.05575 0.186156i 0.381278 0.924461i 0.375484π-0.375484\pi
0.674468 + 0.738304i 0.264373π0.264373\pi
2424 4.06003 3.39176i 0.828749 0.692340i
2525 3.01582 + 3.98808i 0.603164 + 0.797617i
2626 −1.91463 −0.375490
2727 −4.51684 + 2.56869i −0.869266 + 0.494345i
2828 1.06177i 0.200657i
2929 4.94693 + 4.15097i 0.918622 + 0.770816i 0.973740 0.227664i 0.0731088π-0.0731088\pi
−0.0551173 + 0.998480i 0.517553π0.517553\pi
3030 −0.286437 4.78748i −0.0522960 0.874070i
3131 −0.228069 1.29344i −0.0409624 0.232309i 0.957453 0.288591i 0.0931867π-0.0931867\pi
−0.998415 + 0.0562816i 0.982076π0.982076\pi
3232 −0.882557 + 2.42480i −0.156015 + 0.428649i
3333 −0.0195113 + 8.98066i −0.00339649 + 1.56333i
3434 −1.14627 + 6.50084i −0.196584 + 1.11489i
3535 −4.09340 3.02361i −0.691911 0.511083i
3636 0.705061 1.20904i 0.117510 0.201506i
3737 3.18754 1.84032i 0.524028 0.302548i −0.214553 0.976712i 0.568830π-0.568830\pi
0.738581 + 0.674165i 0.235496π0.235496\pi
3838 −1.93781 5.32410i −0.314355 0.863683i
3939 −2.51847 + 0.910455i −0.403277 + 0.145790i
4040 3.77444 + 5.69210i 0.596792 + 0.900000i
4141 3.26644 2.74087i 0.510132 0.428052i −0.351044 0.936359i 0.614173π-0.614173\pi
0.861176 + 0.508307i 0.169729π0.169729\pi
4242 1.65958 + 4.59066i 0.256078 + 0.708354i
4343 −2.88612 7.92956i −0.440130 1.20925i −0.939407 0.342804i 0.888623π-0.888623\pi
0.499277 0.866442i 0.333599π-0.333599\pi
4444 −1.20949 2.09490i −0.182337 0.315817i
4545 −2.65334 6.16115i −0.395537 0.918450i
4646 3.18331 5.51365i 0.469353 0.812944i
4747 −6.68721 1.17913i −0.975429 0.171995i −0.336857 0.941556i 0.609364π-0.609364\pi
−0.638573 + 0.769561i 0.720475π0.720475\pi
4848 0.0107219 4.93508i 0.00154758 0.712318i
4949 −1.71059 0.622605i −0.244371 0.0889436i
5050 6.18371 + 0.313593i 0.874509 + 0.0443488i
5151 1.58353 + 9.09617i 0.221739 + 1.27372i
5252 0.463658 0.552567i 0.0642979 0.0766272i
5353 6.64507i 0.912771i 0.889782 + 0.456385i 0.150856π0.150856\pi
−0.889782 + 0.456385i 0.849144π0.849144\pi
5454 −1.15863 + 6.32939i −0.157669 + 0.861321i
5555 −11.5206 1.30274i −1.55343 0.175662i
5656 −5.32509 4.46828i −0.711596 0.597100i
5757 −5.08071 6.08174i −0.672956 0.805546i
5858 7.87536 1.38864i 1.03409 0.182337i
5959 2.83430 + 1.03160i 0.368995 + 0.134303i 0.519861 0.854251i 0.325984π-0.325984\pi
−0.150866 + 0.988554i 0.548206π0.548206\pi
6060 1.45104 + 1.07670i 0.187329 + 0.139001i
6161 0.999796 5.67013i 0.128011 0.725985i −0.851463 0.524414i 0.824284π-0.824284\pi
0.979474 0.201571i 0.0646046π-0.0646046\pi
6262 −1.40852 0.813210i −0.178882 0.103278i
6363 4.36595 + 5.24929i 0.550058 + 0.661349i
6464 4.44699 + 7.70241i 0.555874 + 0.962801i
6565 −0.809923 3.36106i −0.100459 0.416888i
6666 8.50367 + 7.16697i 1.04673 + 0.882193i
6767 2.22595 + 2.65278i 0.271943 + 0.324089i 0.884681 0.466197i 0.154376π-0.154376\pi
−0.612738 + 0.790286i 0.709932π0.709932\pi
6868 −1.59857 1.90510i −0.193855 0.231028i
6969 1.56538 8.76630i 0.188450 1.05534i
7070 −6.12653 + 1.47633i −0.732260 + 0.176455i
7171 −0.0130487 0.0226011i −0.00154860 0.00268225i 0.865250 0.501341i 0.167160π-0.167160\pi
−0.866799 + 0.498658i 0.833826π0.833826\pi
7272 −3.09654 8.62409i −0.364931 1.01636i
7373 5.00704 + 2.89081i 0.586029 + 0.338344i 0.763526 0.645777i 0.223467π-0.223467\pi
−0.177497 + 0.984121i 0.556800π0.556800\pi
7474 0.791465 4.48862i 0.0920059 0.521792i
7575 8.28306 2.52802i 0.956446 0.291911i
7676 2.00582 + 0.730059i 0.230083 + 0.0837435i
7777 11.6211 2.04912i 1.32435 0.233519i
7878 −1.14099 + 3.11377i −0.129191 + 0.352565i
7979 −12.6845 10.6435i −1.42712 1.19749i −0.947393 0.320073i 0.896292π-0.896292\pi
−0.479724 0.877420i 0.659263π-0.659263\pi
8080 6.33083 + 0.715887i 0.707809 + 0.0800386i
8181 1.48575 + 8.87652i 0.165083 + 0.986280i
8282 5.28029i 0.583110i
8383 6.96279 8.29793i 0.764265 0.910816i −0.233844 0.972274i 0.575131π-0.575131\pi
0.998110 + 0.0614583i 0.0195751π0.0195751\pi
8484 −1.72677 0.632744i −0.188406 0.0690381i
8585 −11.8969 + 0.737738i −1.29040 + 0.0800189i
8686 −9.81943 3.57398i −1.05886 0.385392i
8787 9.69877 5.57153i 1.03982 0.597331i
8888 −15.5964 2.75006i −1.66258 0.293158i
8989 2.32308 4.02369i 0.246246 0.426510i −0.716235 0.697859i 0.754136π-0.754136\pi
0.962481 + 0.271349i 0.0874696π0.0874696\pi
9090 −7.95659 2.38717i −0.838699 0.251630i
9191 1.75941 + 3.04738i 0.184436 + 0.319453i
9292 0.820364 + 2.25393i 0.0855289 + 0.234989i
9393 −2.23944 0.399893i −0.232220 0.0414670i
9494 −6.44146 + 5.40503i −0.664386 + 0.557486i
9595 8.52651 5.65395i 0.874802 0.580083i
9696 3.41753 + 2.88032i 0.348800 + 0.293972i
9797 2.48117 + 6.81695i 0.251924 + 0.692157i 0.999605 + 0.0280982i 0.00894512π0.00894512\pi
−0.747681 + 0.664058i 0.768833π0.768833\pi
9898 −1.95222 + 1.12712i −0.197204 + 0.113856i
9999 14.5937 + 5.38358i 1.46672 + 0.541070i
100100 −1.58799 + 1.70869i −0.158799 + 0.170869i
101101 0.0757615 0.429665i 0.00753855 0.0427532i −0.980806 0.194984i 0.937535π-0.937535\pi
0.988345 + 0.152231i 0.0486457π0.0486457\pi
102102 9.88925 + 5.73824i 0.979182 + 0.568171i
103103 −0.775652 + 2.13109i −0.0764273 + 0.209982i −0.972023 0.234888i 0.924528π-0.924528\pi
0.895595 + 0.444870i 0.146750π0.146750\pi
104104 −0.820053 4.65075i −0.0804128 0.456044i
105105 −7.35669 + 4.85525i −0.717939 + 0.473824i
106106 6.30363 + 5.28937i 0.612263 + 0.513749i
107107 4.36720i 0.422193i 0.977465 + 0.211097i 0.0677034π0.0677034\pi
−0.977465 + 0.211097i 0.932297π0.932297\pi
108108 −1.54610 1.86715i −0.148773 0.179666i
109109 −7.95224 −0.761686 −0.380843 0.924640i 0.624366π-0.624366\pi
−0.380843 + 0.924640i 0.624366π0.624366\pi
110110 −10.4060 + 9.89166i −0.992174 + 0.943133i
111111 −1.09338 6.28061i −0.103779 0.596129i
112112 −6.38610 + 1.12604i −0.603429 + 0.106401i
113113 −5.38234 + 14.7879i −0.506328 + 1.39112i 0.378671 + 0.925531i 0.376381π0.376381\pi
−0.884999 + 0.465593i 0.845841π0.845841\pi
114114 −9.81341 0.0213206i −0.919110 0.00199686i
115115 11.0256 + 3.25580i 1.02814 + 0.303605i
116116 −1.50638 + 2.60913i −0.139864 + 0.242252i
117117 −0.0201547 + 4.63836i −0.00186330 + 0.428817i
118118 3.23466 1.86753i 0.297774 0.171920i
119119 11.4003 4.14937i 1.04506 0.380372i
120120 11.5064 2.74629i 1.05039 0.250701i
121121 12.1680 10.2102i 1.10618 0.928196i
122122 −4.58296 5.46176i −0.414922 0.494484i
123123 −2.51091 6.94559i −0.226401 0.626263i
124124 0.575791 0.209571i 0.0517075 0.0188200i
125125 2.06532 + 10.9879i 0.184728 + 0.982790i
126126 8.45480 + 0.0367379i 0.753213 + 0.00327287i
127127 −2.90443 1.67688i −0.257727 0.148799i 0.365570 0.930784i 0.380874π-0.380874\pi
−0.623297 + 0.781985i 0.714207π0.714207\pi
128128 5.76393 + 1.01634i 0.509464 + 0.0898323i
129129 −14.6158 0.0317543i −1.28685 0.00279581i
130130 −3.83304 1.90704i −0.336180 0.167259i
131131 −0.958255 5.43454i −0.0837231 0.474818i −0.997625 0.0688819i 0.978057π-0.978057\pi
0.913902 0.405936i 0.133054π-0.133054\pi
132132 −4.12771 + 0.718583i −0.359271 + 0.0625447i
133133 −6.69329 + 7.97675i −0.580382 + 0.691672i
134134 4.28829 0.370452
135135 −11.6011 + 0.643523i −0.998465 + 0.0553857i
136136 −16.2819 −1.39616
137137 3.81854 4.55076i 0.326240 0.388798i −0.577848 0.816145i 0.696107π-0.696107\pi
0.904088 + 0.427347i 0.140552π0.140552\pi
138138 −7.06985 8.46279i −0.601825 0.720400i
139139 2.76633 + 15.6886i 0.234637 + 1.33069i 0.843377 + 0.537323i 0.180564π0.180564\pi
−0.608740 + 0.793370i 0.708325π0.708325\pi
140140 1.05757 2.12565i 0.0893807 0.179650i
141141 −5.90275 + 10.1728i −0.497101 + 0.856700i
142142 −0.0318263 0.00561184i −0.00267081 0.000470935i
143143 6.94267 + 4.00835i 0.580575 + 0.335195i
144144 −8.01956 2.95841i −0.668296 0.246534i
145145 5.76913 + 13.2375i 0.479100 + 1.09931i
146146 6.72780 2.44872i 0.556796 0.202657i
147147 −2.03194 + 2.41092i −0.167592 + 0.198849i
148148 1.10376 + 1.31541i 0.0907286 + 0.108126i
149149 −15.5994 + 13.0894i −1.27795 + 1.07233i −0.284430 + 0.958697i 0.591804π0.591804\pi
−0.993523 + 0.113632i 0.963751π0.963751\pi
150150 4.19506 9.86972i 0.342526 0.805859i
151151 −1.80439 + 0.656743i −0.146839 + 0.0534450i −0.414394 0.910098i 0.636006π-0.636006\pi
0.267555 + 0.963543i 0.413784π0.413784\pi
152152 12.1026 6.98743i 0.981649 0.566755i
153153 15.7368 + 2.84539i 1.27225 + 0.230036i
154154 7.30642 12.6551i 0.588768 1.01978i
155155 0.831728 2.81661i 0.0668060 0.226235i
156156 −0.622333 1.08334i −0.0498265 0.0867367i
157157 4.36413 11.9904i 0.348296 0.956935i −0.634611 0.772832i 0.718840π-0.718840\pi
0.982907 0.184103i 0.0589380π-0.0589380\pi
158158 −20.1933 + 3.56063i −1.60649 + 0.283268i
159159 10.8069 + 3.96000i 0.857044 + 0.314049i
160160 −4.18205 + 3.97534i −0.330620 + 0.314279i
161161 −11.7009 −0.922163
162162 9.60305 + 5.65616i 0.754487 + 0.444390i
163163 24.6659i 1.93198i 0.258578 + 0.965990i 0.416746π0.416746\pi
−0.258578 + 0.965990i 0.583254π0.583254\pi
164164 1.52391 + 1.27871i 0.118997 + 0.0998503i
165165 −8.98412 + 17.9596i −0.699413 + 1.39816i
166166 −2.32929 13.2100i −0.180788 1.02530i
167167 1.83304 5.03625i 0.141845 0.389716i −0.848345 0.529444i 0.822401π-0.822401\pi
0.990190 + 0.139728i 0.0446227π0.0446227\pi
168168 −10.4402 + 5.99743i −0.805477 + 0.462712i
169169 1.84231 10.4483i 0.141717 0.803714i
170170 −8.76989 + 11.8728i −0.672620 + 0.910603i
171171 −12.9185 + 4.63848i −0.987903 + 0.354714i
172172 3.40939 1.96841i 0.259964 0.150090i
173173 −4.89834 13.4581i −0.372414 1.02320i −0.974426 0.224711i 0.927856π-0.927856\pi
0.602012 0.798487i 0.294366π-0.294366\pi
174174 2.43482 13.6353i 0.184583 1.03369i
175175 −5.18327 10.1304i −0.391818 0.765784i
176176 −11.3172 + 9.49622i −0.853063 + 0.715805i
177177 3.36675 3.99468i 0.253060 0.300258i
178178 −1.96781 5.40651i −0.147493 0.405235i
179179 −2.84521 4.92805i −0.212661 0.368340i 0.739885 0.672733i 0.234880π-0.234880\pi
−0.952547 + 0.304393i 0.901546π0.901546\pi
180180 2.61576 1.71820i 0.194967 0.128067i
181181 5.07635 8.79249i 0.377322 0.653541i −0.613350 0.789811i 0.710178π-0.710178\pi
0.990672 + 0.136271i 0.0435117π0.0435117\pi
182182 4.29126 + 0.756665i 0.318090 + 0.0560878i
183183 −8.62554 5.00498i −0.637619 0.369979i
184184 14.7564 + 5.37091i 1.08786 + 0.395948i
185185 8.21440 0.509384i 0.603935 0.0374507i
186186 −2.16191 + 1.80607i −0.158519 + 0.132427i
187187 17.7663 21.1731i 1.29920 1.54833i
188188 3.16794i 0.231046i
189189 11.1388 3.97215i 0.810225 0.288931i
190190 1.42354 12.5889i 0.103274 0.913291i
191191 −4.87022 4.08660i −0.352397 0.295696i 0.449355 0.893353i 0.351654π-0.351654\pi
−0.801752 + 0.597657i 0.796098π0.796098\pi
192192 15.1766 2.64205i 1.09527 0.190674i
193193 19.2071 3.38673i 1.38256 0.243782i 0.567601 0.823304i 0.307872π-0.307872\pi
0.814957 + 0.579521i 0.196760π0.196760\pi
194194 8.44165 + 3.07251i 0.606075 + 0.220593i
195195 −5.94876 0.685775i −0.425999 0.0491094i
196196 0.147474 0.836365i 0.0105338 0.0597404i
197197 −7.83426 4.52311i −0.558168 0.322259i 0.194242 0.980954i 0.437775π-0.437775\pi
−0.752410 + 0.658695i 0.771109π0.771109\pi
198198 16.7233 9.55854i 1.18847 0.679296i
199199 5.04715 + 8.74191i 0.357783 + 0.619698i 0.987590 0.157054i 0.0501995π-0.0501995\pi
−0.629807 + 0.776751i 0.716866π0.716866\pi
200200 1.88680 + 15.1549i 0.133417 + 1.07162i
201201 5.64074 2.03919i 0.397867 0.143834i
202202 −0.347282 0.413875i −0.0244347 0.0291201i
203203 −9.44710 11.2586i −0.663057 0.790200i
204204 −4.05091 + 1.46445i −0.283621 + 0.102532i
205205 9.26934 2.23366i 0.647399 0.156006i
206206 1.40418 + 2.43211i 0.0978338 + 0.169453i
207207 −13.3238 7.76990i −0.926069 0.540045i
208208 −3.81516 2.20268i −0.264534 0.152729i
209209 −4.11947 + 23.3627i −0.284950 + 1.61603i
210210 −1.25003 + 10.8434i −0.0862603 + 0.748265i
211211 3.35281 + 1.22032i 0.230817 + 0.0840106i 0.454839 0.890573i 0.349697π-0.349697\pi
−0.224022 + 0.974584i 0.571919π0.571919\pi
212212 −3.05305 + 0.538336i −0.209685 + 0.0369730i
213213 −0.0445323 + 0.00775253i −0.00305131 + 0.000531195i
214214 4.14280 + 3.47622i 0.283196 + 0.237630i
215215 2.12018 18.7495i 0.144595 1.27870i
216216 −15.8707 0.103443i −1.07987 0.00703843i
217217 2.98913i 0.202915i
218218 −6.32986 + 7.54363i −0.428712 + 0.510919i
219219 7.68519 6.42024i 0.519317 0.433840i
220220 −0.334775 5.39863i −0.0225705 0.363975i
221221 7.74487 + 2.81890i 0.520977 + 0.189620i
222222 −6.82821 3.96207i −0.458279 0.265917i
223223 18.2797 + 3.22320i 1.22410 + 0.215842i 0.748089 0.663598i 0.230971π-0.230971\pi
0.476010 + 0.879440i 0.342083π0.342083\pi
224224 2.93637 5.08593i 0.196194 0.339818i
225225 0.824802 14.9773i 0.0549868 0.998487i
226226 9.74376 + 16.8767i 0.648145 + 1.12262i
227227 8.41561 + 23.1217i 0.558564 + 1.53464i 0.821722 + 0.569888i 0.193014π0.193014\pi
−0.263158 + 0.964753i 0.584764π0.584764\pi
228228 2.38263 2.82701i 0.157793 0.187223i
229229 −1.56307 + 1.31157i −0.103291 + 0.0866713i −0.692971 0.720966i 0.743698π-0.743698\pi
0.589680 + 0.807637i 0.299254π0.299254\pi
230230 11.8647 7.86751i 0.782336 0.518768i
231231 3.59291 20.1207i 0.236396 1.32384i
232232 6.74618 + 18.5350i 0.442908 + 1.21688i
233233 7.51547 4.33906i 0.492355 0.284261i −0.233196 0.972430i 0.574918π-0.574918\pi
0.725551 + 0.688169i 0.241585π0.241585\pi
234234 4.38399 + 3.71118i 0.286590 + 0.242608i
235235 −12.2132 9.02130i −0.796699 0.588485i
236236 −0.244351 + 1.38578i −0.0159059 + 0.0902068i
237237 −24.8687 + 14.2860i −1.61540 + 0.927977i
238238 5.13829 14.1173i 0.333066 0.915092i
239239 0.654990 + 3.71463i 0.0423678 + 0.240280i 0.998636 0.0522114i 0.0166270π-0.0166270\pi
−0.956268 + 0.292491i 0.905516π0.905516\pi
240240 4.93699 9.86924i 0.318681 0.637057i
241241 0.433776 + 0.363981i 0.0279420 + 0.0234461i 0.656652 0.754194i 0.271972π-0.271972\pi
−0.628710 + 0.777640i 0.716417π0.716417\pi
242242 19.6699i 1.26443i
243243 15.3213 + 2.87351i 0.982863 + 0.184336i
244244 2.68612 0.171961
245245 −2.80443 2.95026i −0.179169 0.188485i
246246 −8.58736 3.14669i −0.547510 0.200626i
247247 −6.96662 + 1.22840i −0.443275 + 0.0781614i
248248 1.37205 3.76969i 0.0871256 0.239375i
249249 −9.34561 16.2686i −0.592254 1.03098i
250250 12.0673 + 6.78701i 0.763203 + 0.429248i
251251 0.425928 0.737730i 0.0268844 0.0465651i −0.852270 0.523102i 0.824775π-0.824775\pi
0.879155 + 0.476537i 0.158108π0.158108\pi
252252 −2.05807 + 2.43118i −0.129646 + 0.153150i
253253 −23.0861 + 13.3288i −1.45141 + 0.837973i
254254 −3.90260 + 1.42043i −0.244871 + 0.0891257i
255255 −5.88993 + 19.7876i −0.368842 + 1.23915i
256256 −8.07425 + 6.77510i −0.504641 + 0.423444i
257257 11.8239 + 14.0912i 0.737553 + 0.878982i 0.996209 0.0869875i 0.0277240π-0.0277240\pi
−0.258656 + 0.965970i 0.583280π0.583280\pi
258258 −11.6641 + 13.8395i −0.726174 + 0.861612i
259259 −7.87153 + 2.86500i −0.489113 + 0.178023i
260260 1.47861 0.644405i 0.0916995 0.0399643i
261261 −3.28120 19.0934i −0.203101 1.18185i
262262 −5.91805 3.41679i −0.365618 0.211090i
263263 −6.87408 1.21209i −0.423874 0.0747404i −0.0423576 0.999103i 0.513487π-0.513487\pi
−0.381516 + 0.924362i 0.624598π0.624598\pi
264264 −13.7668 + 23.7256i −0.847289 + 1.46021i
265265 −6.61873 + 13.3033i −0.406586 + 0.817214i
266266 2.23913 + 12.6987i 0.137290 + 0.778610i
267267 −5.15935 6.17587i −0.315747 0.377957i
268268 −1.03848 + 1.23761i −0.0634352 + 0.0755992i
269269 −9.05450 −0.552062 −0.276031 0.961149i 0.589019π-0.589019\pi
−0.276031 + 0.961149i 0.589019π0.589019\pi
270270 −8.62385 + 11.5173i −0.524831 + 0.700918i
271271 −2.68123 −0.162873 −0.0814364 0.996679i 0.525951π-0.525951\pi
−0.0814364 + 0.996679i 0.525951π0.525951\pi
272272 −9.76300 + 11.6351i −0.591969 + 0.705481i
273273 6.00446 1.04530i 0.363406 0.0632646i
274274 −1.27743 7.24467i −0.0771724 0.437667i
275275 −21.7664 14.0830i −1.31256 0.849236i
276276 4.15446 + 0.00902597i 0.250069 + 0.000543299i
277277 −9.53431 1.68116i −0.572861 0.101011i −0.120289 0.992739i 0.538382π-0.538382\pi
−0.452572 + 0.891728i 0.649493π0.649493\pi
278278 17.0845 + 9.86372i 1.02466 + 0.591587i
279279 −1.98490 + 3.40371i −0.118833 + 0.203775i
280280 −6.21014 14.2494i −0.371127 0.851564i
281281 −12.4600 + 4.53506i −0.743300 + 0.270539i −0.685784 0.727806i 0.740540π-0.740540\pi
−0.0575163 + 0.998345i 0.518318π0.518318\pi
282282 4.95155 + 13.6968i 0.294861 + 0.815633i
283283 −12.5849 14.9981i −0.748094 0.891543i 0.248939 0.968519i 0.419918π-0.419918\pi
−0.997033 + 0.0769758i 0.975474π0.975474\pi
284284 0.00932686 0.00782616i 0.000553447 0.000464397i
285285 −4.11383 17.2361i −0.243682 1.02098i
286286 9.32865 3.39535i 0.551615 0.200771i
287287 −8.40428 + 4.85221i −0.496089 + 0.286417i
288288 6.72089 3.84147i 0.396032 0.226361i
289289 5.70798 9.88651i 0.335763 0.581559i
290290 17.1494 + 5.06413i 1.00705 + 0.297376i
291291 12.5650 + 0.0272988i 0.736576 + 0.00160028i
292292 −0.922540 + 2.53466i −0.0539875 + 0.148330i
293293 −29.7888 + 5.25257i −1.74028 + 0.306858i −0.951462 0.307767i 0.900418π-0.900418\pi
−0.788819 + 0.614625i 0.789307π0.789307\pi
294294 0.669644 + 3.84659i 0.0390544 + 0.224338i
295295 4.64670 + 4.88831i 0.270541 + 0.284609i
296296 11.2421 0.653436
297297 17.4522 20.5255i 1.01268 1.19101i
298298 25.2169i 1.46077i
299299 −6.08938 5.10960i −0.352158 0.295496i
300300 1.83252 + 3.60082i 0.105801 + 0.207893i
301301 3.33490 + 18.9131i 0.192220 + 1.09014i
302302 −0.813265 + 2.23443i −0.0467982 + 0.128577i
303303 −0.653617 0.379262i −0.0375493 0.0217880i
304304 2.26375 12.8384i 0.129835 0.736330i
305305 7.64922 10.3556i 0.437993 0.592962i
306306 15.2254 12.6633i 0.870381 0.723915i
307307 −15.8229 + 9.13533i −0.903058 + 0.521381i −0.878191 0.478310i 0.841250π-0.841250\pi
−0.0248672 + 0.999691i 0.507916π0.507916\pi
308308 1.88292 + 5.17329i 0.107289 + 0.294775i
309309 3.00356 + 2.53143i 0.170867 + 0.144008i
310310 −2.00984 3.03097i −0.114151 0.172147i
311311 25.8479 21.6890i 1.46570 1.22987i 0.545681 0.837993i 0.316271π-0.316271\pi
0.920018 0.391875i 0.128174π-0.128174\pi
312312 −8.05223 1.43787i −0.455868 0.0814034i
313313 −0.953665 2.62017i −0.0539043 0.148101i 0.909818 0.415007i 0.136221π-0.136221\pi
−0.963723 + 0.266906i 0.913999π0.913999\pi
314314 −7.90048 13.6840i −0.445850 0.772235i
315315 3.51204 + 14.8576i 0.197881 + 0.837132i
316316 3.86253 6.69010i 0.217284 0.376348i
317317 2.71702 + 0.479083i 0.152603 + 0.0269080i 0.249428 0.968393i 0.419758π-0.419758\pi
−0.0968248 + 0.995301i 0.530869π0.530869\pi
318318 12.3587 7.09952i 0.693039 0.398121i
319319 −31.4642 11.4520i −1.76166 0.641190i
320320 1.23088 + 19.8494i 0.0688085 + 1.10962i
321321 7.10240 + 2.60255i 0.396417 + 0.145260i
322322 −9.31377 + 11.0997i −0.519036 + 0.618563i
323323 24.3896i 1.35707i
324324 −3.95792 + 1.40173i −0.219884 + 0.0778741i
325325 1.72629 7.53547i 0.0957572 0.417993i
326326 23.3985 + 19.6337i 1.29592 + 1.08741i
327327 −4.73899 + 12.9328i −0.262067 + 0.715183i
328328 12.8261 2.26160i 0.708206 0.124876i
329329 14.5221 + 5.28560i 0.800627 + 0.291404i
330330 9.88559 + 22.8181i 0.544184 + 1.25609i
331331 −4.85007 + 27.5061i −0.266584 + 1.51187i 0.497902 + 0.867233i 0.334104π0.334104\pi
−0.764486 + 0.644640i 0.777007π0.777007\pi
332332 4.37653 + 2.52679i 0.240193 + 0.138676i
333333 −10.8658 1.96465i −0.595440 0.107662i
334334 −3.31840 5.74763i −0.181575 0.314496i
335335 1.81403 + 7.52793i 0.0991109 + 0.411295i
336336 −1.97439 + 11.0568i −0.107712 + 0.603197i
337337 −9.17286 10.9318i −0.499677 0.595492i 0.455974 0.889993i 0.349291π-0.349291\pi
−0.955651 + 0.294501i 0.904847π0.904847\pi
338338 −8.44497 10.0643i −0.459346 0.547427i
339339 20.8421 + 17.5659i 1.13199 + 0.954047i
340340 −1.30275 5.40621i −0.0706515 0.293193i
341341 3.40498 + 5.89759i 0.184390 + 0.319372i
342342 −5.88279 + 15.9469i −0.318105 + 0.862309i
343343 17.3847 + 10.0371i 0.938685 + 0.541950i
344344 4.47567 25.3828i 0.241312 1.36855i
345345 11.8654 15.9908i 0.638812 0.860913i
346346 −16.6656 6.06577i −0.895946 0.326098i
347347 −17.3984 + 3.06781i −0.933994 + 0.164688i −0.619880 0.784697i 0.712819π-0.712819\pi
−0.314114 + 0.949385i 0.601708π0.601708\pi
348348 3.34554 + 4.00470i 0.179340 + 0.214674i
349349 18.7439 + 15.7280i 1.00334 + 0.841899i 0.987443 0.157975i 0.0504965π-0.0504965\pi
0.0158927 + 0.999874i 0.494941π0.494941\pi
350350 −13.7356 3.14667i −0.734201 0.168197i
351351 7.53138 + 2.79692i 0.401995 + 0.149289i
352352 13.3795i 0.713129i
353353 20.5015 24.4328i 1.09119 1.30043i 0.140567 0.990071i 0.455108π-0.455108\pi
0.950621 0.310355i 0.100448π-0.100448\pi
354354 −1.10954 6.37346i −0.0589714 0.338745i
355355 −0.00361176 0.0582438i −0.000191692 0.00309126i
356356 2.03687 + 0.741359i 0.107954 + 0.0392920i
357357 0.0456530 21.0131i 0.00241621 1.11213i
358358 −6.93958 1.22364i −0.366768 0.0646711i
359359 −4.13080 + 7.15476i −0.218015 + 0.377614i −0.954201 0.299166i 0.903292π-0.903292\pi
0.736186 + 0.676780i 0.236625π0.236625\pi
360360 2.39071 20.3495i 0.126001 1.07251i
361361 −0.966856 1.67464i −0.0508871 0.0881391i
362362 −4.30002 11.8142i −0.226004 0.620941i
363363 −9.35354 25.8734i −0.490934 1.35800i
364364 −1.25757 + 1.05523i −0.0659148 + 0.0553091i
365365 7.14461 + 10.7745i 0.373966 + 0.563965i
366366 −11.6136 + 4.19846i −0.607053 + 0.219457i
367367 7.40606 + 20.3480i 0.386593 + 1.06216i 0.968525 + 0.248918i 0.0800750π0.0800750\pi
−0.581931 + 0.813238i 0.697703π0.697703\pi
368368 12.6864 7.32448i 0.661323 0.381815i
369369 −12.7920 0.0555839i −0.665924 0.00289358i
370370 6.05533 8.19779i 0.314801 0.426183i
371371 2.62615 14.8936i 0.136343 0.773238i
372372 0.00230578 1.06130i 0.000119549 0.0550259i
373373 10.4509 28.7136i 0.541126 1.48673i −0.304267 0.952587i 0.598411π-0.598411\pi
0.845393 0.534145i 0.179366π-0.179366\pi
374374 −5.94343 33.7068i −0.307327 1.74294i
375375 19.1005 + 3.18920i 0.986345 + 0.164689i
376376 −15.8881 13.3317i −0.819365 0.687529i
377377 9.98457i 0.514232i
378378 5.09822 13.7282i 0.262224 0.706102i
379379 −6.49045 −0.333392 −0.166696 0.986008i 0.553310π-0.553310\pi
−0.166696 + 0.986008i 0.553310π0.553310\pi
380380 3.28844 + 3.45943i 0.168693 + 0.177465i
381381 −4.45795 + 3.72419i −0.228388 + 0.190796i
382382 −7.75324 + 1.36711i −0.396690 + 0.0699472i
383383 2.57705 7.08040i 0.131681 0.361791i −0.856276 0.516519i 0.827228π-0.827228\pi
0.987957 + 0.154727i 0.0494499π0.0494499\pi
384384 5.08778 8.76824i 0.259635 0.447452i
385385 25.3063 + 7.47280i 1.28973 + 0.380849i
386386 12.0758 20.9160i 0.614645 1.06460i
387387 −8.76165 + 23.7508i −0.445380 + 1.20732i
388388 −2.93102 + 1.69222i −0.148800 + 0.0859096i
389389 −7.42372 + 2.70201i −0.376398 + 0.136997i −0.523289 0.852155i 0.675295π-0.675295\pi
0.146892 + 0.989153i 0.453073π0.453073\pi
390390 −5.38566 + 5.09723i −0.272713 + 0.258108i
391391 −20.9946 + 17.6165i −1.06174 + 0.890906i
392392 −3.57399 4.25931i −0.180514 0.215128i
393393 −9.40926 1.68019i −0.474635 0.0847545i
394394 −10.5267 + 3.83139i −0.530325 + 0.193023i
395395 −14.7927 33.9424i −0.744301 1.70783i
396396 −1.29119 + 7.14114i −0.0648850 + 0.358856i
397397 −1.40079 0.808746i −0.0703036 0.0405898i 0.464436 0.885607i 0.346257π-0.346257\pi
−0.534740 + 0.845017i 0.679590π0.679590\pi
398398 12.3102 + 2.17062i 0.617054 + 0.108803i
399399 8.98389 + 15.6389i 0.449757 + 0.782925i
400400 11.9611 + 7.73893i 0.598056 + 0.386947i
401401 2.06958 + 11.7372i 0.103350 + 0.586127i 0.991867 + 0.127282i 0.0406254π0.0406254\pi
−0.888517 + 0.458844i 0.848264π0.848264\pi
402402 2.55553 6.97407i 0.127458 0.347835i
403403 −1.30530 + 1.55560i −0.0650216 + 0.0774898i
404404 0.203545 0.0101268
405405 −5.86690 + 19.2504i −0.291529 + 0.956562i
406406 −18.1999 −0.903244
407407 −12.2671 + 14.6193i −0.608055 + 0.724652i
408408 −9.70289 + 26.4793i −0.480365 + 1.31092i
409409 −1.98160 11.2382i −0.0979836 0.555693i −0.993792 0.111253i 0.964514π-0.964514\pi
0.895809 0.444440i 0.146597π-0.146597\pi
410410 5.25936 10.5710i 0.259741 0.522065i
411411 −5.12534 8.92205i −0.252814 0.440092i
412412 −1.04196 0.183725i −0.0513336 0.00905149i
413413 −5.94484 3.43226i −0.292527 0.168890i
414414 −17.9762 + 6.45449i −0.883482 + 0.317221i
415415 22.2044 9.67706i 1.08997 0.475028i
416416 3.74908 1.36455i 0.183814 0.0669027i
417417 27.1630 + 4.85045i 1.33018 + 0.237528i
418418 18.8832 + 22.5041i 0.923609 + 1.10071i
419419 −24.7402 + 20.7595i −1.20864 + 1.01417i −0.209296 + 0.977852i 0.567117π0.567117\pi
−0.999340 + 0.0363142i 0.988438π0.988438\pi
420420 −2.82671 2.98666i −0.137930 0.145734i
421421 −12.6800 + 4.61514i −0.617986 + 0.224928i −0.631994 0.774974i 0.717763π-0.717763\pi
0.0140082 + 0.999902i 0.495541π0.495541\pi
422422 3.82641 2.20918i 0.186267 0.107541i
423423 13.0264 + 15.6619i 0.633363 + 0.761509i
424424 −10.1483 + 17.5774i −0.492846 + 0.853634i
425425 −24.5521 10.3728i −1.19095 0.503154i
426426 −0.0280929 + 0.0484150i −0.00136110 + 0.00234572i
427427 −4.48169 + 12.3134i −0.216884 + 0.595885i
428428 −2.00649 + 0.353799i −0.0969875 + 0.0171015i
429429 10.6562 8.90219i 0.514484 0.429802i
430430 −16.0984 16.9355i −0.776336 0.816704i
431431 23.0480 1.11018 0.555092 0.831789i 0.312683π-0.312683\pi
0.555092 + 0.831789i 0.312683π0.312683\pi
432432 −9.59037 + 11.2792i −0.461417 + 0.542673i
433433 28.7044i 1.37944i −0.724074 0.689722i 0.757733π-0.757733\pi
0.724074 0.689722i 0.242267π-0.242267\pi
434434 2.83554 + 2.37930i 0.136110 + 0.114210i
435435 24.9662 1.49374i 1.19704 0.0716192i
436436 −0.644233 3.65363i −0.0308532 0.174977i
437437 8.04538 22.1045i 0.384863 1.05740i
438438 0.0269418 12.4007i 0.00128733 0.592529i
439439 −0.464755 + 2.63576i −0.0221816 + 0.125798i −0.993888 0.110395i 0.964789π-0.964789\pi
0.971706 + 0.236193i 0.0758996π0.0758996\pi
440440 −28.4844 21.0401i −1.35794 1.00305i
441441 2.70999 + 4.74130i 0.129047 + 0.225776i
442442 8.83886 5.10312i 0.420422 0.242731i
443443 −0.954638 2.62285i −0.0453562 0.124615i 0.914947 0.403575i 0.132233π-0.132233\pi
−0.960303 + 0.278960i 0.910010π0.910010\pi
444444 2.79703 1.01116i 0.132741 0.0479874i
445445 8.65849 5.74146i 0.410452 0.272171i
446446 17.6079 14.7748i 0.833760 0.699608i
447447 11.9913 + 33.1698i 0.567167 + 1.56888i
448448 −6.92304 19.0209i −0.327083 0.898653i
449449 12.0160 + 20.8123i 0.567069 + 0.982192i 0.996854 + 0.0792608i 0.0252560π0.0252560\pi
−0.429785 + 0.902931i 0.641411π0.641411\pi
450450 −13.5512 12.7041i −0.638810 0.598878i
451451 −11.0545 + 19.1470i −0.520536 + 0.901595i
452452 −7.23026 1.27489i −0.340083 0.0599658i
453453 −0.00722574 + 3.32585i −0.000339495 + 0.156262i
454454 28.6323 + 10.4213i 1.34378 + 0.489097i
455455 0.486987 + 7.85323i 0.0228303 + 0.368165i
456456 −4.15138 23.8465i −0.194406 1.11671i
457457 19.7351 23.5193i 0.923167 1.10019i −0.0715399 0.997438i 0.522791π-0.522791\pi
0.994707 0.102750i 0.0327642π-0.0327642\pi
458458 2.52675i 0.118067i
459459 14.0055 23.8972i 0.653722 1.11543i
460460 −0.602649 + 5.32943i −0.0280987 + 0.248486i
461461 −8.31123 6.97395i −0.387093 0.324809i 0.428387 0.903595i 0.359082π-0.359082\pi
−0.815479 + 0.578786i 0.803527π0.803527\pi
462462 −16.2269 19.4240i −0.754944 0.903687i
463463 −32.0801 + 5.65658i −1.49089 + 0.262884i −0.858919 0.512111i 0.828864π-0.828864\pi
−0.631968 + 0.774995i 0.717753π0.717753\pi
464464 17.2903 + 6.29316i 0.802682 + 0.292153i
465465 −4.08501 3.03114i −0.189438 0.140566i
466466 1.86609 10.5831i 0.0864450 0.490254i
467467 −11.8736 6.85522i −0.549445 0.317222i 0.199453 0.979907i 0.436083π-0.436083\pi
−0.748898 + 0.662685i 0.769417π0.769417\pi
468468 −2.13271 + 0.366507i −0.0985846 + 0.0169418i
469469 −3.94064 6.82538i −0.181962 0.315167i
470470 −18.2793 + 4.40481i −0.843159 + 0.203179i
471471 −16.8993 14.2428i −0.778676 0.656275i
472472 5.92178 + 7.05730i 0.272572 + 0.324839i
473473 28.1241 + 33.5170i 1.29315 + 1.54111i
474474 −6.24316 + 34.9624i −0.286758 + 1.60587i
475475 22.7014 2.82635i 1.04161 0.129682i
476476 2.82998 + 4.90167i 0.129712 + 0.224668i
477477 12.8803 15.2154i 0.589750 0.696667i
478478 4.04513 + 2.33545i 0.185020 + 0.106821i
479479 2.05131 11.6335i 0.0937266 0.531550i −0.901403 0.432980i 0.857462π-0.857462\pi
0.995130 0.0985701i 0.0314269π-0.0314269\pi
480480 3.97290 + 9.17032i 0.181337 + 0.418566i
481481 −5.34758 1.94636i −0.243829 0.0887465i
482482 0.690558 0.121764i 0.0314541 0.00554620i
483483 −6.97295 + 19.0293i −0.317280 + 0.865863i
484484 5.67678 + 4.76339i 0.258036 + 0.216518i
485485 −1.82270 + 16.1187i −0.0827643 + 0.731913i
486486 14.9214 12.2468i 0.676848 0.555526i
487487 31.6087i 1.43233i 0.697933 + 0.716163i 0.254103π0.254103\pi
−0.697933 + 0.716163i 0.745897π0.745897\pi
488488 11.3040 13.4716i 0.511709 0.609831i
489489 40.1142 + 14.6992i 1.81403 + 0.664719i
490490 −5.03095 + 0.311975i −0.227275 + 0.0140936i
491491 −15.3997 5.60502i −0.694977 0.252951i −0.0297121 0.999558i 0.509459π-0.509459\pi
−0.665265 + 0.746608i 0.731681π0.731681\pi
492492 2.98771 1.71631i 0.134696 0.0773773i
493493 −33.9012 5.97769i −1.52683 0.269222i
494494 −4.38004 + 7.58644i −0.197067 + 0.341330i
495495 23.8539 + 25.3136i 1.07215 + 1.13776i
496496 −1.87111 3.24087i −0.0840155 0.145519i
497497 0.0203142 + 0.0558127i 0.000911215 + 0.00250354i
498498 −22.8716 4.08414i −1.02490 0.183015i
499499 30.4626 25.5612i 1.36369 1.14427i 0.388871 0.921292i 0.372865π-0.372865\pi
0.974823 0.222982i 0.0715791π-0.0715791\pi
500500 −4.88104 + 1.83907i −0.218287 + 0.0822456i
501501 −7.09810 5.98234i −0.317120 0.267271i
502502 −0.360791 0.991264i −0.0161029 0.0442423i
503503 5.13479 2.96457i 0.228949 0.132184i −0.381138 0.924518i 0.624468π-0.624468\pi
0.610087 + 0.792334i 0.291134π0.291134\pi
504504 3.53203 + 20.5530i 0.157329 + 0.915502i
505505 0.579634 0.784717i 0.0257934 0.0349195i
506506 −5.73228 + 32.5094i −0.254831 + 1.44522i
507507 −15.8942 9.22262i −0.705886 0.409591i
508508 0.535138 1.47028i 0.0237429 0.0652331i
509509 −7.53016 42.7057i −0.333768 1.89290i −0.439067 0.898454i 0.644691π-0.644691\pi
0.105298 0.994441i 0.466420π-0.466420\pi
510510 14.0825 + 21.3379i 0.623586 + 0.944858i
511511 −10.0798 8.45798i −0.445905 0.374159i
512512 24.7579i 1.09416i
513513 −0.154954 + 23.7736i −0.00684137 + 1.04963i
514514 22.7787 1.00473
515515 −3.67548 + 3.49381i −0.161961 + 0.153956i
516516 −1.16948 6.71775i −0.0514834 0.295732i
517517 34.6731 6.11381i 1.52492 0.268885i
518518 −3.54783 + 9.74757i −0.155883 + 0.428284i
519519 −24.8060 0.0538934i −1.08886 0.00236566i
520520 2.99059 10.1275i 0.131146 0.444120i
521521 −16.3247 + 28.2751i −0.715196 + 1.23876i 0.247688 + 0.968840i 0.420329π0.420329\pi
−0.962884 + 0.269916i 0.913004π0.913004\pi
522522 −20.7241 12.0854i −0.907070 0.528966i
523523 15.2548 8.80738i 0.667047 0.385120i −0.127910 0.991786i 0.540827π-0.540827\pi
0.794957 + 0.606666i 0.207493π0.207493\pi
524524 2.41925 0.880534i 0.105685 0.0384663i
525525 −19.5639 + 2.39258i −0.853840 + 0.104421i
526526 −6.62147 + 5.55607i −0.288710 + 0.242256i
527527 4.50033 + 5.36328i 0.196037 + 0.233628i
528528 8.69950 + 24.0642i 0.378597 + 1.04726i
529529 3.22579 1.17409i 0.140252 0.0510475i
530530 7.35131 + 16.8678i 0.319320 + 0.732692i
531531 −4.49021 7.85591i −0.194859 0.340917i
532532 −4.20713 2.42899i −0.182402 0.105310i
533533 −6.49261 1.14482i −0.281226 0.0495878i
534534 −9.96530 0.0216506i −0.431241 0.000936913i
535535 −4.34989 + 8.74303i −0.188062 + 0.377994i
536536 1.83671 + 10.4165i 0.0793340 + 0.449925i
537537 −9.71006 + 1.69040i −0.419020 + 0.0729463i
538538 −7.20724 + 8.58925i −0.310726 + 0.370309i
539539 9.43865 0.406551
540540 −1.23550 5.27796i −0.0531676 0.227127i
541541 40.8023 1.75423 0.877113 0.480284i 0.159466π-0.159466\pi
0.877113 + 0.480284i 0.159466π0.159466\pi
542542 −2.13421 + 2.54346i −0.0916723 + 0.109251i
543543 −11.2741 13.4954i −0.483819 0.579143i
544544 −2.38859 13.5464i −0.102410 0.580797i
545545 −15.9202 7.92072i −0.681946 0.339287i
546546 3.78786 6.52798i 0.162106 0.279372i
547547 −29.8441 5.26232i −1.27604 0.225000i −0.505743 0.862684i 0.668781π-0.668781\pi
−0.770298 + 0.637684i 0.779893π0.779893\pi
548548 2.40018 + 1.38575i 0.102531 + 0.0591961i
549549 −13.2798 + 11.0451i −0.566770 + 0.471395i
550550 −30.6850 + 9.43811i −1.30841 + 0.402442i
551551 27.7646 10.1055i 1.18281 0.430508i
552552 17.5286 20.7978i 0.746065 0.885212i
553553 24.2234 + 28.8684i 1.03008 + 1.22761i
554554 −9.18393 + 7.70623i −0.390188 + 0.327407i
555555 4.06680 13.6627i 0.172626 0.579948i
556556 −6.98398 + 2.54196i −0.296187 + 0.107803i
557557 −24.6008 + 14.2033i −1.04237 + 0.601812i −0.920503 0.390735i 0.872221π-0.872221\pi
−0.121865 + 0.992547i 0.538888π0.538888\pi
558558 1.64887 + 4.59221i 0.0698021 + 0.194404i
559559 −6.52350 + 11.2990i −0.275915 + 0.477898i
560560 −13.9064 4.10648i −0.587652 0.173530i
561561 −23.8463 41.5111i −1.00679 1.75260i
562562 −5.61591 + 15.4296i −0.236893 + 0.650858i
563563 6.21863 1.09651i 0.262084 0.0462124i −0.0410621 0.999157i 0.513074π-0.513074\pi
0.303146 + 0.952944i 0.401963π0.401963\pi
564564 −5.15203 1.88787i −0.216940 0.0794937i
565565 −25.5046 + 24.2439i −1.07299 + 1.01995i
566566 −24.2448 −1.01909
567567 0.178002 20.4821i 0.00747538 0.860169i
568568 0.0797117i 0.00334463i
569569 2.76710 + 2.32188i 0.116003 + 0.0973381i 0.698944 0.715176i 0.253654π-0.253654\pi
−0.582941 + 0.812515i 0.698098π0.698098\pi
570570 −19.6250 9.81720i −0.822000 0.411197i
571571 6.03614 + 34.2327i 0.252605 + 1.43259i 0.802147 + 0.597127i 0.203691π0.203691\pi
−0.549542 + 0.835466i 0.685198π0.685198\pi
572572 −1.27918 + 3.51451i −0.0534851 + 0.146949i
573573 −9.54837 + 5.48513i −0.398889 + 0.229145i
574574 −2.08678 + 11.8347i −0.0871006 + 0.493972i
575575 18.8301 + 17.4999i 0.785270 + 0.729798i
576576 4.74740 26.2562i 0.197808 1.09401i
577577 19.6374 11.3377i 0.817517 0.471994i −0.0320424 0.999487i 0.510201π-0.510201\pi
0.849559 + 0.527493i 0.176868π0.176868\pi
578578 −4.83505 13.2842i −0.201112 0.552550i
579579 5.93826 33.2549i 0.246785 1.38203i
580580 −5.61453 + 3.72301i −0.233131 + 0.154589i
581581 −18.8851 + 15.8465i −0.783485 + 0.657422i
582582 10.0275 11.8977i 0.415652 0.493175i
583583 −11.7842 32.3768i −0.488051 1.34091i
584584 8.82966 + 15.2934i 0.365374 + 0.632847i
585585 −4.66033 + 9.26582i −0.192681 + 0.383094i
586586 −18.7288 + 32.4391i −0.773678 + 1.34005i
587587 18.6058 + 3.28071i 0.767946 + 0.135410i 0.543878 0.839164i 0.316955π-0.316955\pi
0.224067 + 0.974574i 0.428066π0.428066\pi
588588 −1.27230 0.738253i −0.0524688 0.0304450i
589589 −5.64683 2.05528i −0.232673 0.0846862i
590590 8.33584 0.516914i 0.343181 0.0212810i
591591 −12.0246 + 10.0454i −0.494628 + 0.413214i
592592 6.74104 8.03366i 0.277055 0.330181i
593593 8.73461i 0.358688i −0.983786 0.179344i 0.942603π-0.942603\pi
0.983786 0.179344i 0.0573974π-0.0573974\pi
594594 −5.57918 32.8934i −0.228917 1.34963i
595595 26.9560 + 3.04817i 1.10509 + 0.124963i
596596 −7.27765 6.10667i −0.298104 0.250139i
597597 17.2248 2.99862i 0.704963 0.122725i
598598 −9.69410 + 1.70933i −0.396421 + 0.0698998i
599599 6.00796 + 2.18672i 0.245479 + 0.0893469i 0.461829 0.886969i 0.347193π-0.347193\pi
−0.216351 + 0.976316i 0.569415π0.569415\pi
600600 25.7709 + 5.96278i 1.05209 + 0.243429i
601601 2.30763 13.0872i 0.0941304 0.533840i −0.900880 0.434068i 0.857078π-0.857078\pi
0.995010 0.0997716i 0.0318112π-0.0318112\pi
602602 20.5959 + 11.8910i 0.839425 + 0.484642i
603603 0.0451415 10.3888i 0.00183830 0.423064i
604604 −0.447916 0.775814i −0.0182255 0.0315674i
605605 34.5297 8.32073i 1.40383 0.338286i
606606 −0.880043 + 0.318146i −0.0357493 + 0.0129238i
607607 −2.88515 3.43839i −0.117105 0.139560i 0.704307 0.709895i 0.251258π-0.251258\pi
−0.821412 + 0.570335i 0.806813π0.806813\pi
608608 7.58895 + 9.04416i 0.307773 + 0.366789i
609609 −23.9398 + 8.65451i −0.970088 + 0.350698i
610610 −3.73486 15.4991i −0.151220 0.627540i
611611 5.24941 + 9.09225i 0.212369 + 0.367833i
612612 −0.0324185 + 7.46073i −0.00131044 + 0.301582i
613613 −20.1066 11.6086i −0.812100 0.468866i 0.0355848 0.999367i 0.488671π-0.488671\pi
−0.847685 + 0.530501i 0.822004π0.822004\pi
614614 −3.92882 + 22.2814i −0.158554 + 0.899205i
615615 1.89128 16.4059i 0.0762636 0.661549i
616616 33.8694 + 12.3275i 1.36464 + 0.496687i
617617 43.5312 7.67572i 1.75250 0.309013i 0.796993 0.603988i 0.206423π-0.206423\pi
0.955505 + 0.294975i 0.0953114π0.0953114\pi
618618 4.79214 0.834253i 0.192768 0.0335586i
619619 −3.65944 3.07064i −0.147085 0.123419i 0.566276 0.824216i 0.308384π-0.308384\pi
−0.713361 + 0.700796i 0.752828π0.752828\pi
620620 1.36146 + 0.153953i 0.0546775 + 0.00618291i
621621 −20.5763 + 17.0383i −0.825698 + 0.683722i
622622 41.7838i 1.67538i
623623 −6.79689 + 8.10022i −0.272312 + 0.324529i
624624 −5.85581 + 4.89197i −0.234420 + 0.195835i
625625 −6.80964 + 24.0547i −0.272386 + 0.962188i
626626 −3.24464 1.18095i −0.129682 0.0472004i
627627 35.5399 + 20.6221i 1.41933 + 0.823566i
628628 5.86248 + 1.03371i 0.233938 + 0.0412496i
629629 −9.81015 + 16.9917i −0.391156 + 0.677502i
630630 16.8897 + 8.49484i 0.672903 + 0.338443i
631631 −18.1400 31.4193i −0.722140 1.25078i −0.960140 0.279518i 0.909825π-0.909825\pi
0.238000 0.971265i 0.423508π-0.423508\pi
632632 −17.2980 47.5258i −0.688076 1.89047i
633633 3.98266 4.72546i 0.158297 0.187820i
634634 2.61717 2.19607i 0.103941 0.0872169i
635635 −4.14438 6.24999i −0.164465 0.248023i
636636 −0.943911 + 5.28600i −0.0374285 + 0.209604i
637637 0.962632 + 2.64481i 0.0381409 + 0.104791i
638638 −35.9086 + 20.7318i −1.42163 + 0.820781i
639639 −0.0139302 + 0.0770431i −0.000551071 + 0.00304778i
640640 10.5269 + 7.77577i 0.416114 + 0.307364i
641641 3.91713 22.2151i 0.154717 0.877445i −0.804327 0.594187i 0.797474π-0.797474\pi
0.959044 0.283258i 0.0914151π-0.0914151\pi
642642 8.12222 4.66587i 0.320558 0.184147i
643643 −1.31828 + 3.62196i −0.0519881 + 0.142836i −0.962969 0.269613i 0.913104π-0.913104\pi
0.910981 + 0.412449i 0.135326π0.135326\pi
644644 −0.947926 5.37595i −0.0373535 0.211842i
645645 −29.2289 14.6215i −1.15089 0.575719i
646646 23.1364 + 19.4137i 0.910288 + 0.763823i
647647 16.5713i 0.651486i −0.945458 0.325743i 0.894386π-0.894386\pi
0.945458 0.325743i 0.105614π-0.105614\pi
648648 −9.62609 + 25.7490i −0.378148 + 1.01152i
649649 −15.6390 −0.613884
650650 −5.77418 7.63570i −0.226482 0.299497i
651651 4.86123 + 1.78131i 0.190527 + 0.0698152i
652652 −11.3326 + 1.99825i −0.443821 + 0.0782576i
653653 1.76642 4.85320i 0.0691254 0.189920i −0.900320 0.435230i 0.856667π-0.856667\pi
0.969445 + 0.245309i 0.0788894π0.0788894\pi
654654 8.49608 + 14.7898i 0.332223 + 0.578325i
655655 3.49459 11.8343i 0.136545 0.462403i
656656 6.07471 10.5217i 0.237178 0.410804i
657657 −5.86142 16.3245i −0.228676 0.636879i
658658 16.5733 9.56862i 0.646096 0.373024i
659659 −33.9146 + 12.3439i −1.32113 + 0.480850i −0.903819 0.427915i 0.859248π-0.859248\pi
−0.417307 + 0.908766i 0.637026π0.637026\pi
660660 −8.97931 2.67276i −0.349519 0.104037i
661661 29.5546 24.7993i 1.14954 0.964580i 0.149833 0.988711i 0.452127π-0.452127\pi
0.999709 + 0.0241316i 0.00768206π0.00768206\pi
662662 22.2322 + 26.4953i 0.864079 + 1.02977i
663663 9.19981 10.9157i 0.357291 0.423929i
664664 31.0903 11.3160i 1.20654 0.439144i
665665 −21.3450 + 9.30251i −0.827722 + 0.360736i
666666 −10.5127 + 8.74362i −0.407358 + 0.338808i
667667 28.7531 + 16.6006i 1.11332 + 0.642778i
668668 2.46238 + 0.434185i 0.0952725 + 0.0167991i
669669 16.1354 27.8076i 0.623829 1.07510i
670670 8.58506 + 4.27130i 0.331670 + 0.165015i
671671 5.18394 + 29.3996i 0.200124 + 1.13496i
672672 −6.52141 7.80629i −0.251569 0.301134i
673673 −6.19702 + 7.38532i −0.238878 + 0.284683i −0.872143 0.489252i 0.837270π-0.837270\pi
0.633265 + 0.773935i 0.281714π0.281714\pi
674674 −17.6715 −0.680682
675675 −23.8661 10.2668i −0.918608 0.395170i
676676 4.94968 0.190372
677677 15.8761 18.9204i 0.610167 0.727169i −0.369179 0.929358i 0.620361π-0.620361\pi
0.979346 + 0.202189i 0.0648056π0.0648056\pi
678678 33.2532 5.78898i 1.27708 0.222324i
679679 −2.86697 16.2594i −0.110024 0.623979i
680680 −32.5960 16.2174i −1.25000 0.621908i
681681 42.6180 + 0.0925918i 1.63313 + 0.00354813i
682682 8.30486 + 1.46437i 0.318010 + 0.0560737i
683683 17.9981 + 10.3912i 0.688678 + 0.397609i 0.803117 0.595822i 0.203174π-0.203174\pi
−0.114438 + 0.993430i 0.536507π0.536507\pi
684684 −3.17770 5.55958i −0.121502 0.212576i
685685 12.1774 5.30711i 0.465273 0.202774i
686686 23.3593 8.50208i 0.891861 0.324611i
687687 1.20154 + 3.32364i 0.0458414 + 0.126805i
688688 −15.4549 18.4184i −0.589212 0.702195i
689689 7.87048 6.60411i 0.299841 0.251597i
690690 −5.72442 23.9841i −0.217925 0.913060i
691691 −12.2565 + 4.46098i −0.466257 + 0.169704i −0.564456 0.825463i 0.690914π-0.690914\pi
0.0981988 + 0.995167i 0.468692π0.468692\pi
692692 5.78643 3.34080i 0.219967 0.126998i
693693 −30.5812 17.8337i −1.16168 0.677446i
694694 −10.9387 + 18.9463i −0.415226 + 0.719193i
695695 −10.0883 + 34.1637i −0.382672 + 1.29590i
696696 34.1638 + 0.0742241i 1.29497 + 0.00281346i
697697 −7.77416 + 21.3593i −0.294467 + 0.809042i
698698 29.8396 5.26153i 1.12945 0.199152i
699699 −2.57793 14.8082i −0.0975062 0.560098i
700700 4.23445 3.20212i 0.160047 0.121029i
701701 25.6062 0.967135 0.483567 0.875307i 0.339341π-0.339341\pi
0.483567 + 0.875307i 0.339341π0.339341\pi
702702 8.64807 4.91809i 0.326400 0.185621i
703703 16.8402i 0.635141i
704704 −35.3263 29.6423i −1.33141 1.11719i
705705 −21.9496 + 14.4863i −0.826670 + 0.545584i
706706 −6.85846 38.8962i −0.258121 1.46388i
707707 −0.339609 + 0.933067i −0.0127723 + 0.0350916i
708708 2.10809 + 1.22322i 0.0792268 + 0.0459714i
709709 −2.06567 + 11.7150i −0.0775777 + 0.439965i 0.921135 + 0.389243i 0.127263π0.127263\pi
−0.998713 + 0.0507221i 0.983848π0.983848\pi
710710 −0.0581260 0.0429350i −0.00218143 0.00161132i
711711 8.41337 + 48.9576i 0.315526 + 1.83605i
712712 12.2899 7.09558i 0.460584 0.265918i
713713 −2.30951 6.34531i −0.0864917 0.237634i
714714 −19.8970 16.7694i −0.744628 0.627579i
715715 9.90660 + 14.9398i 0.370486 + 0.558716i
716716 2.03368 1.70646i 0.0760021 0.0637733i
717717 6.43145 + 1.14845i 0.240187 + 0.0428897i
718718 3.49908 + 9.61363i 0.130584 + 0.358777i
719719 3.31070 + 5.73431i 0.123468 + 0.213854i 0.921133 0.389247i 0.127265π-0.127265\pi
−0.797665 + 0.603101i 0.793932π0.793932\pi
720720 −13.1083 13.9104i −0.488517 0.518411i
721721 2.58068 4.46987i 0.0961096 0.166467i
722722 −2.35820 0.415814i −0.0877630 0.0154750i
723723 0.850445 0.488544i 0.0316284 0.0181692i
724724 4.45093 + 1.62000i 0.165417 + 0.0602070i
725725 −1.63535 + 32.2474i −0.0607355 + 1.19764i
726726 −31.9892 11.7219i −1.18723 0.435040i
727727 −7.62291 + 9.08463i −0.282718 + 0.336930i −0.888650 0.458586i 0.848356π-0.848356\pi
0.605932 + 0.795517i 0.292800π0.292800\pi
728728 10.7478i 0.398341i
729729 13.8037 23.2047i 0.511246 0.859434i
730730 15.9079 + 1.79886i 0.588778 + 0.0665787i
731731 34.4587 + 28.9142i 1.27450 + 1.06943i
732732 1.60074 4.36844i 0.0591650 0.161462i
733733 12.6872 2.23709i 0.468612 0.0826289i 0.0656441 0.997843i 0.479090π-0.479090\pi
0.402968 + 0.915214i 0.367979π0.367979\pi
734734 25.1976 + 9.17116i 0.930059 + 0.338514i
735735 −6.46926 + 2.80271i −0.238622 + 0.103380i
736736 −2.30374 + 13.0651i −0.0849169 + 0.481588i
737737 −15.5499 8.97771i −0.572786 0.330698i
738738 −10.2349 + 12.0905i −0.376754 + 0.445056i
739739 −12.2765 21.2636i −0.451600 0.782194i 0.546886 0.837207i 0.315813π-0.315813\pi
−0.998486 + 0.0550133i 0.982480π0.982480\pi
740740 0.899506 + 3.73281i 0.0330665 + 0.137221i
741741 −2.15387 + 12.0619i −0.0791243 + 0.443104i
742742 −12.0380 14.3463i −0.441928 0.526669i
743743 −26.5027 31.5847i −0.972291 1.15873i −0.987304 0.158844i 0.949223π-0.949223\pi
0.0150131 0.999887i 0.495221π-0.495221\pi
744744 −5.31301 4.47785i −0.194784 0.164166i
745745 −44.2672 + 10.6672i −1.62182 + 0.390816i
746746 −18.9194 32.7694i −0.692690 1.19977i
747747 −32.0270 + 5.50385i −1.17181 + 0.201375i
748748 11.1672 + 6.44737i 0.408313 + 0.235739i
749749 1.72593 9.78822i 0.0630640 0.357654i
750750 18.2290 15.5805i 0.665630 0.568920i
751751 −11.6980 4.25772i −0.426866 0.155366i 0.119648 0.992816i 0.461823π-0.461823\pi
−0.546514 + 0.837450i 0.684045π0.684045\pi
752752 −19.0537 + 3.35968i −0.694817 + 0.122515i
753753 −0.945949 1.13233i −0.0344723 0.0412642i
754754 −9.47154 7.94756i −0.344933 0.289433i
755755 −4.26648 0.482451i −0.155273 0.0175582i
756756 2.72737 + 4.79586i 0.0991935 + 0.174424i
757757 11.3137i 0.411203i −0.978636 0.205602i 0.934085π-0.934085\pi
0.978636 0.205602i 0.0659152π-0.0659152\pi
758758 −5.16630 + 6.15696i −0.187648 + 0.223631i
759759 7.91891 + 45.4881i 0.287438 + 1.65111i
760760 31.1888 1.93405i 1.13134 0.0701555i
761761 −21.2994 7.75233i −0.772101 0.281022i −0.0742262 0.997241i 0.523649π-0.523649\pi
−0.697875 + 0.716220i 0.745871π0.745871\pi
762762 −0.0156281 + 7.19329i −0.000566147 + 0.260585i
763763 17.8234 + 3.14274i 0.645250 + 0.113775i
764764 1.48302 2.56867i 0.0536539 0.0929313i
765765 28.6706 + 21.3708i 1.03659 + 0.772664i
766766 −4.66529 8.08053i −0.168564 0.291961i
767767 −1.59500 4.38222i −0.0575920 0.158233i
768768 6.20668 + 17.1687i 0.223964 + 0.619521i
769769 −11.6191 + 9.74955i −0.418994 + 0.351578i −0.827780 0.561052i 0.810397π-0.810397\pi
0.408786 + 0.912630i 0.365952π0.365952\pi
770770 27.2322 18.0577i 0.981381 0.650756i
771771 29.9627 10.8319i 1.07908 0.390101i
772772 3.11204 + 8.55027i 0.112005 + 0.307731i
773773 −4.20823 + 2.42962i −0.151359 + 0.0873874i −0.573767 0.819019i 0.694518π-0.694518\pi
0.422407 + 0.906406i 0.361185π0.361185\pi
774774 15.5563 + 27.2167i 0.559160 + 0.978286i
775775 4.47054 4.81035i 0.160587 0.172793i
776776 −3.84768 + 21.8213i −0.138124 + 0.783338i
777777 −0.0315219 + 14.5089i −0.00113084 + 0.520502i
778778 −3.34599 + 9.19303i −0.119960 + 0.329586i
779779 −3.38777 19.2130i −0.121379 0.688377i
780780 −0.166849 2.78869i −0.00597414 0.0998512i
781781 0.103657 + 0.0869789i 0.00370916 + 0.00311235i
782782 33.9383i 1.21363i
783783 −33.0071 6.04211i −1.17958 0.215928i
784784 −5.18676 −0.185241
785785 20.6797 19.6576i 0.738091 0.701609i
786786 −9.08349 + 7.58838i −0.323997 + 0.270669i
787787 4.82676 0.851088i 0.172055 0.0303380i −0.0869567 0.996212i 0.527714π-0.527714\pi
0.259012 + 0.965874i 0.416603π0.416603\pi
788788 1.44345 3.96585i 0.0514209 0.141278i
789789 −6.06770 + 10.4570i −0.216016 + 0.372280i
790790 −43.9731 12.9850i −1.56449 0.461985i
791791 17.9076 31.0170i 0.636723 1.10284i
792792 30.3810 + 36.5279i 1.07954 + 1.29796i
793793 −7.70938 + 4.45101i −0.273768 + 0.158060i
794794 −1.88220 + 0.685063i −0.0667966 + 0.0243120i
795795 17.6909 + 18.6919i 0.627430 + 0.662934i
796796 −3.60756 + 3.02710i −0.127866 + 0.107293i
797797 −35.8673 42.7450i −1.27049 1.51411i −0.752270 0.658855i 0.771041π-0.771041\pi
−0.518215 0.855250i 0.673403π-0.673403\pi
798798 21.9864 + 3.92607i 0.778310 + 0.138981i
799799 34.0142 12.3802i 1.20334 0.437978i
800800 −12.3320 + 3.79307i −0.436001 + 0.134105i
801801 −13.1185 + 4.71028i −0.463518 + 0.166430i
802802 12.7814 + 7.37937i 0.451328 + 0.260575i
803803 −29.5223 5.20557i −1.04182 0.183701i
804804 1.39387 + 2.42641i 0.0491581 + 0.0855731i
805805 −23.4250 11.6546i −0.825623 0.410770i
806806 0.436667 + 2.47646i 0.0153809 + 0.0872296i
807807 −5.39585 + 14.7254i −0.189943 + 0.518358i
808808 0.856584 1.02084i 0.0301345 0.0359129i
809809 25.0205 0.879673 0.439837 0.898078i 0.355036π-0.355036\pi
0.439837 + 0.898078i 0.355036π0.355036\pi
810810 13.5913 + 20.8885i 0.477551 + 0.733947i
811811 22.4129 0.787024 0.393512 0.919320i 0.371260π-0.371260\pi
0.393512 + 0.919320i 0.371260π0.371260\pi
812812 4.40739 5.25253i 0.154669 0.184328i
813813 −1.59783 + 4.36049i −0.0560382 + 0.152929i
814814 4.10374 + 23.2735i 0.143836 + 0.815735i
815815 −24.5681 + 49.3805i −0.860584 + 1.72972i
816816 13.1041 + 22.8113i 0.458736 + 0.798556i
817817 −38.0222 6.70435i −1.33023 0.234555i
818818 −12.2381 7.06565i −0.427894 0.247045i
819819 1.87826 10.3880i 0.0656318 0.362986i
820820 1.77718 + 4.07781i 0.0620619 + 0.142403i
821821 −37.8576 + 13.7790i −1.32124 + 0.480892i −0.903855 0.427838i 0.859275π-0.859275\pi
−0.417384 + 0.908730i 0.637053π0.637053\pi
822822 −12.5433 2.23983i −0.437498 0.0781231i
823823 −8.96086 10.6791i −0.312356 0.372251i 0.586911 0.809651i 0.300344π-0.300344\pi
−0.899267 + 0.437400i 0.855899π0.855899\pi
824824 −5.30632 + 4.45253i −0.184854 + 0.155111i
825825 −35.8745 + 27.0062i −1.24899 + 0.940237i
826826 −7.98790 + 2.90736i −0.277935 + 0.101160i
827827 30.3778 17.5386i 1.05634 0.609878i 0.131922 0.991260i 0.457885π-0.457885\pi
0.924418 + 0.381382i 0.124552π0.124552\pi
828828 2.49045 6.75104i 0.0865491 0.234615i
829829 −16.3803 + 28.3716i −0.568912 + 0.985385i 0.427762 + 0.903892i 0.359302π0.359302\pi
−0.996674 + 0.0814933i 0.974031π0.974031\pi
830830 8.49451 28.7662i 0.294849 0.998491i
831831 −8.41586 + 14.5038i −0.291943 + 0.503132i
832832 4.70322 12.9220i 0.163055 0.447989i
833833 9.55639 1.68505i 0.331109 0.0583835i
834834 26.2226 21.9064i 0.908014 0.758558i
835835 8.68600 8.25667i 0.300591 0.285734i
836836 −11.0676 −0.382782
837837 4.35260 + 5.25643i 0.150448 + 0.181689i
838838 39.9932i 1.38154i
839839 −13.1790 11.0585i −0.454991 0.381783i 0.386293 0.922376i 0.373755π-0.373755\pi
−0.841284 + 0.540593i 0.818200π0.818200\pi
840840 −26.8747 + 1.60792i −0.927264 + 0.0554786i
841841 2.20580 + 12.5097i 0.0760621 + 0.431370i
842842 −5.71508 + 15.7021i −0.196955 + 0.541128i
843843 −0.0498965 + 22.9663i −0.00171853 + 0.791001i
844844 −0.289053 + 1.63930i −0.00994960 + 0.0564270i
845845 14.0951 19.0822i 0.484888 0.656448i
846846 25.2259 + 0.109612i 0.867286 + 0.00376854i
847847 −31.3072 + 18.0752i −1.07573 + 0.621073i
848848 6.47569 + 17.7918i 0.222376 + 0.610973i
849849 −31.8912 + 11.5290i −1.09450 + 0.395675i
850850 −29.3829 + 15.0339i −1.00782 + 0.515660i
851851 14.4961 12.1636i 0.496919 0.416964i
852852 −0.00716956 0.0198322i −0.000245625 0.000679439i
853853 16.6428 + 45.7258i 0.569840 + 1.56562i 0.804756 + 0.593606i 0.202296π0.202296\pi
−0.234916 + 0.972016i 0.575482π0.575482\pi
854854 8.11330 + 14.0526i 0.277631 + 0.480872i
855855 −30.4827 3.58118i −1.04248 0.122474i
856856 −6.66956 + 11.5520i −0.227961 + 0.394840i
857857 9.48011 + 1.67160i 0.323835 + 0.0571008i 0.333202 0.942855i 0.391871π-0.391871\pi
−0.00936777 + 0.999956i 0.502982π0.502982\pi
858858 0.0373570 17.1946i 0.00127535 0.587015i
859859 −30.1158 10.9613i −1.02754 0.373993i −0.227395 0.973803i 0.573021π-0.573021\pi
−0.800143 + 0.599809i 0.795243π0.795243\pi
860860 8.78614 0.544838i 0.299605 0.0185788i
861861 2.88280 + 16.5595i 0.0982457 + 0.564346i
862862 18.3459 21.8638i 0.624863 0.744682i
863863 11.1232i 0.378637i −0.981916 0.189319i 0.939372π-0.939372\pi
0.981916 0.189319i 0.0606279π-0.0606279\pi
864864 −2.24221 13.2195i −0.0762815 0.449735i
865865 3.59838 31.8217i 0.122348 1.08197i
866866 −27.2295 22.8482i −0.925295 0.776415i
867867 −12.6769 15.1746i −0.430531 0.515356i
868868 −1.37334 + 0.242158i −0.0466143 + 0.00821936i
869869 80.6777 + 29.3643i 2.73680 + 0.996114i
870870 18.4557 24.8723i 0.625707 0.843251i
871871 0.929747 5.27286i 0.0315033 0.178664i
872872 −21.0351 12.1446i −0.712338 0.411268i
873873 7.53229 20.4183i 0.254930 0.691055i
874874 −14.5647 25.2268i −0.492659 0.853310i
875875 −0.286568 25.4435i −0.00968776 0.860147i
876876 3.57235 + 3.01081i 0.120699 + 0.101726i
877877 34.3783 + 40.9704i 1.16087 + 1.38347i 0.909563 + 0.415567i 0.136417π0.136417\pi
0.251309 + 0.967907i 0.419139π0.419139\pi
878878 2.13039 + 2.53890i 0.0718971 + 0.0856836i
879879 −9.20980 + 51.5758i −0.310639 + 1.73961i
880880 −32.1153 + 7.73891i −1.08261 + 0.260879i
881881 −12.0656 20.8982i −0.406500 0.704078i 0.587995 0.808864i 0.299917π-0.299917\pi
−0.994495 + 0.104787i 0.966584π0.966584\pi
882882 6.65479 + 1.20326i 0.224078 + 0.0405158i
883883 15.3713 + 8.87464i 0.517286 + 0.298655i 0.735824 0.677173i 0.236795π-0.236795\pi
−0.218537 + 0.975829i 0.570129π0.570129\pi
884884 −0.667701 + 3.78672i −0.0224572 + 0.127361i
885885 10.7190 4.64384i 0.360315 0.156101i
886886 −3.24795 1.18216i −0.109117 0.0397154i
887887 2.06559 0.364220i 0.0693559 0.0122293i −0.138863 0.990312i 0.544345π-0.544345\pi
0.208218 + 0.978082i 0.433234π0.433234\pi
888888 6.69953 18.2831i 0.224822 0.613542i
889889 5.84701 + 4.90623i 0.196103 + 0.164550i
890890 1.44557 12.7837i 0.0484558 0.428511i
891891 −22.9804 40.6143i −0.769872 1.36063i
892892 8.65966i 0.289947i
893893 −19.9703 + 23.7996i −0.668280 + 0.796425i
894894 41.0103 + 15.0275i 1.37159 + 0.502595i
895895 −0.787527 12.6998i −0.0263241 0.424507i
896896 −12.5171 4.55584i −0.418166 0.152200i
897897 −11.9386 + 6.85822i −0.398619 + 0.228989i
898898 29.3074 + 5.16769i 0.978001 + 0.172448i
899899 4.24080 7.34528i 0.141439 0.244979i
900900 6.94809 0.834401i 0.231603 0.0278134i
901901 −17.7113 30.6769i −0.590049 1.02200i
902902 9.36392 + 25.7272i 0.311785 + 0.856621i
903903 32.7459 + 5.84737i 1.08972 + 0.194588i
904904 −36.8212 + 30.8966i −1.22465 + 1.02761i
905905 18.9204 12.5461i 0.628935 0.417048i
906906 3.14921 + 2.65418i 0.104626 + 0.0881793i
907907 −14.6217 40.1727i −0.485504 1.33391i −0.904713 0.426022i 0.859915π-0.859915\pi
0.419208 0.907890i 0.362308π-0.362308\pi
908908 −9.94141 + 5.73967i −0.329917 + 0.190478i
909909 −1.00631 + 0.836966i −0.0333770 + 0.0277604i
910910 7.83734 + 5.78908i 0.259805 + 0.191906i
911911 3.61639 20.5096i 0.119816 0.679513i −0.864436 0.502743i 0.832324π-0.832324\pi
0.984252 0.176770i 0.0565647π-0.0565647\pi
912912 −19.5300 11.3323i −0.646704 0.375251i
913913 −19.2095 + 52.7776i −0.635741 + 1.74668i
914914 −6.60204 37.4420i −0.218376 1.23847i
915915 −12.2830 18.6112i −0.406063 0.615268i
916916 −0.729227 0.611894i −0.0240943 0.0202175i
917917 12.5591i 0.414739i
918918 −11.5211 32.3077i −0.380254 1.06631i
919919 14.9586 0.493438 0.246719 0.969087i 0.420648π-0.420648\pi
0.246719 + 0.969087i 0.420648π0.420648\pi
920920 24.1924 + 25.4504i 0.797601 + 0.839075i
921921 5.42750 + 31.1768i 0.178842 + 1.02731i
922922 −13.2312 + 2.33302i −0.435747 + 0.0768340i
923923 −0.0138006 + 0.0379168i −0.000454252 + 0.00124805i
924924 9.53543 + 0.0207167i 0.313693 + 0.000681528i
925925 16.9524 + 7.16207i 0.557392 + 0.235488i
926926 −20.1693 + 34.9343i −0.662804 + 1.14801i
927927 5.90679 3.37615i 0.194004 0.110887i
928928 −14.4312 + 8.33188i −0.473729 + 0.273507i
929929 25.6422 9.33300i 0.841294 0.306206i 0.114808 0.993388i 0.463375π-0.463375\pi
0.726486 + 0.687182i 0.241152π0.241152\pi
930930 −6.12700 + 1.46236i −0.200912 + 0.0479528i
931931 −6.38026 + 5.35367i −0.209105 + 0.175460i
932932 2.60241 + 3.10144i 0.0852449 + 0.101591i
933933 −19.8693 54.9617i −0.650491 1.79936i
934934 −15.9542 + 5.80685i −0.522037 + 0.190006i
935935 56.6569 24.6921i 1.85288 0.807517i
936936 −7.13699 + 12.2385i −0.233280 + 0.400028i
937937 −47.0967 27.1913i −1.53858 0.888300i −0.998922 0.0464165i 0.985220π-0.985220\pi
−0.539659 0.841884i 0.681447π-0.681447\pi
938938 −9.61136 1.69474i −0.313822 0.0553353i
939939 −4.82952 0.0104926i −0.157605 0.000342413i
940940 3.15538 6.34214i 0.102917 0.206858i
941941 −8.21935 46.6142i −0.267943 1.51958i −0.760522 0.649313i 0.775057π-0.775057\pi
0.492579 0.870268i 0.336054π-0.336054\pi
942942 −26.9625 + 4.69385i −0.878487 + 0.152934i
943943 14.0916 16.7937i 0.458885 0.546878i
944944 8.59400 0.279711
945945 26.2559 + 3.14246i 0.854106 + 0.102224i
946946 54.1812 1.76158
947947 −26.0639 + 31.0617i −0.846962 + 1.00937i 0.152815 + 0.988255i 0.451166π0.451166\pi
−0.999777 + 0.0211155i 0.993278π0.993278\pi
948948 −8.57834 10.2685i −0.278612 0.333505i
949949 −1.55227 8.80337i −0.0503889 0.285769i
950950 15.3889 23.7847i 0.499280 0.771677i
951951 2.39829 4.13319i 0.0777699 0.134028i
952952 36.4927 + 6.43465i 1.18273 + 0.208548i
953953 −23.2862 13.4443i −0.754315 0.435504i 0.0729359 0.997337i 0.476763π-0.476763\pi
−0.827251 + 0.561833i 0.810096π0.810096\pi
954954 −4.18107 24.3298i −0.135367 0.787705i
955955 −5.67967 13.0322i −0.183790 0.421712i
956956 −1.65361 + 0.601865i −0.0534816 + 0.0194657i
957957 −37.3750 + 44.3457i −1.20816 + 1.43349i
958958 −9.40297 11.2060i −0.303796 0.362050i
959959 −10.3570 + 8.69054i −0.334444 + 0.280632i
960960 33.0147 + 9.82709i 1.06555 + 0.317168i
961961 27.5095 10.0126i 0.887403 0.322988i
962962 −6.10295 + 3.52354i −0.196767 + 0.113603i
963963 8.46508 9.99972i 0.272783 0.322236i
964964 −0.132088 + 0.228784i −0.00425428 + 0.00736864i
965965 41.8255 + 12.3508i 1.34641 + 0.397587i
966966 12.5012 + 21.7617i 0.402218 + 0.700171i
967967 13.0453 35.8418i 0.419510 1.15259i −0.532474 0.846446i 0.678738π-0.678738\pi
0.951984 0.306147i 0.0990401π-0.0990401\pi
968968 47.7794 8.42480i 1.53569 0.270783i
969969 39.6649 + 14.5345i 1.27422 + 0.466916i
970970 13.8397 + 14.5593i 0.444364 + 0.467470i
971971 −52.8853 −1.69717 −0.848585 0.529059i 0.822545π-0.822545\pi
−0.848585 + 0.529059i 0.822545π0.822545\pi
972972 −0.0789999 + 7.27212i −0.00253392 + 0.233253i
973973 36.2562i 1.16232i
974974 29.9846 + 25.1600i 0.960767 + 0.806179i
975975 −11.2262 7.29809i −0.359527 0.233726i
976976 −2.84870 16.1558i −0.0911846 0.517134i
977977 −7.16089 + 19.6744i −0.229097 + 0.629439i −0.999972 0.00754795i 0.997597π-0.997597\pi
0.770874 + 0.636987i 0.219820π0.219820\pi
978978 45.8742 26.3527i 1.46689 0.842668i
979979 −4.18324 + 23.7243i −0.133697 + 0.758233i
980980 1.12829 1.52749i 0.0360419 0.0487940i
981981 18.2085 + 15.4141i 0.581353 + 0.492133i
982982 −17.5749 + 10.1469i −0.560838 + 0.323800i
983983 12.7694 + 35.0835i 0.407279 + 1.11899i 0.958615 + 0.284707i 0.0918963π0.0918963\pi
−0.551335 + 0.834284i 0.685881π0.685881\pi
984984 3.96546 22.2070i 0.126414 0.707933i
985985 −11.1788 16.8584i −0.356187 0.537153i
986986 −32.6553 + 27.4011i −1.03996 + 0.872628i
987987 17.2501 20.4674i 0.549078 0.651486i
988988 −1.12877 3.10127i −0.0359110 0.0986646i
989989 −21.6923 37.5721i −0.689774 1.19472i
990990 43.0003 2.47898i 1.36664 0.0787872i
991991 17.5105 30.3291i 0.556240 0.963436i −0.441566 0.897229i 0.645577π-0.645577\pi
0.997806 0.0662071i 0.0210898π-0.0210898\pi
992992 3.33763 + 0.588514i 0.105970 + 0.0186853i
993993 41.8430 + 24.2794i 1.32785 + 0.770485i
994994 0.0691147 + 0.0251557i 0.00219218 + 0.000797890i
995995 1.39700 + 22.5282i 0.0442879 + 0.714193i
996996 6.71743 5.61177i 0.212850 0.177816i
997997 −30.6391 + 36.5143i −0.970351 + 1.15642i 0.0173159 + 0.999850i 0.494488π0.494488\pi
−0.987667 + 0.156569i 0.949957π0.949957\pi
998998 49.2436i 1.55878i
999999 −9.67036 + 16.5002i −0.305957 + 0.522045i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 135.2.p.a.124.11 yes 96
3.2 odd 2 405.2.p.a.289.6 96
5.2 odd 4 675.2.l.h.151.11 96
5.3 odd 4 675.2.l.h.151.6 96
5.4 even 2 inner 135.2.p.a.124.6 yes 96
15.14 odd 2 405.2.p.a.289.11 96
27.5 odd 18 405.2.p.a.199.11 96
27.22 even 9 inner 135.2.p.a.49.6 96
135.22 odd 36 675.2.l.h.76.11 96
135.49 even 18 inner 135.2.p.a.49.11 yes 96
135.59 odd 18 405.2.p.a.199.6 96
135.103 odd 36 675.2.l.h.76.6 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
135.2.p.a.49.6 96 27.22 even 9 inner
135.2.p.a.49.11 yes 96 135.49 even 18 inner
135.2.p.a.124.6 yes 96 5.4 even 2 inner
135.2.p.a.124.11 yes 96 1.1 even 1 trivial
405.2.p.a.199.6 96 135.59 odd 18
405.2.p.a.199.11 96 27.5 odd 18
405.2.p.a.289.6 96 3.2 odd 2
405.2.p.a.289.11 96 15.14 odd 2
675.2.l.h.76.6 96 135.103 odd 36
675.2.l.h.76.11 96 135.22 odd 36
675.2.l.h.151.6 96 5.3 odd 4
675.2.l.h.151.11 96 5.2 odd 4