Properties

Label 700.2.bj.a.323.43
Level 700700
Weight 22
Character 700.323
Analytic conductor 5.5905.590
Analytic rank 00
Dimension 720720
Inner twists 44

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [700,2,Mod(127,700)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(700, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([10, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("700.127");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 700=22527 700 = 2^{2} \cdot 5^{2} \cdot 7
Weight: k k == 2 2
Character orbit: [χ][\chi] == 700.bj (of order 2020, degree 88, 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: 5.589528141495.58952814149
Analytic rank: 00
Dimension: 720720
Relative dimension: 9090 over Q(ζ20)\Q(\zeta_{20})
Twist minimal: yes
Sato-Tate group: SU(2)[C20]\mathrm{SU}(2)[C_{20}]

Embedding invariants

Embedding label 323.43
Character χ\chi == 700.323
Dual form 700.2.bj.a.687.43

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+(0.126438+1.40855i)q2+(1.458562.86259i)q3+(1.968030.356188i)q4+(1.35907+1.77565i)q5+(4.216511.69252i)q6+(0.7071070.707107i)q7+(0.7505422.72703i)q8+(4.30364+5.92345i)q9+(2.67293+1.68981i)q10+(2.04399+2.81331i)q11+(1.85087+6.15317i)q12+(0.0115670+0.0730309i)q13+(1.085400.906590i)q14+(3.100676.48034i)q15+(3.74626+1.40198i)q16+(2.408611.22725i)q17+(7.799346.81084i)q18+(0.2805460.863431i)q19+(2.042223.97861i)q20+(0.992796+3.05551i)q21+(4.22112+2.52335i)q22+(0.183083+1.15594i)q23+(8.90106+1.82904i)q24+(1.30587+4.82646i)q25+(0.104330+0.00705877i)q26+(13.7139+2.17207i)q27+(1.13974+1.64347i)q28+(7.67871+2.49497i)q29+(8.73584+5.18680i)q30+(5.363841.74282i)q31+(2.44842+5.09953i)q32+(5.072059.95446i)q33+(2.033183.23747i)q34+(0.2945682.21658i)q35+(10.579510.1246i)q36+(3.470040.549601i)q37+(1.251660.285992i)q38+(0.1921860.139631i)q39+(5.862292.37352i)q40+(8.36936+6.08070i)q41+(4.178311.78473i)q42+(4.55361+4.55361i)q43+(3.020556.26471i)q44+(16.3669+0.408618i)q45+(1.605050.404036i)q46+(11.80986.01737i)q47+(1.4508712.7689i)q48+1.00000iq49+(6.633202.44963i)q50+8.68486iq51+(0.003248670.147847i)q52+(9.847555.01758i)q53+(4.79343+19.0421i)q54+(2.21753+7.45288i)q55+(2.45901+1.39759i)q56+(2.06245+2.06245i)q57+(4.48516+10.5004i)q58+(1.40535+1.02104i)q59+(8.41042+11.6491i)q60+(3.22028+2.33967i)q61+(1.77665+7.77560i)q62+(7.231651.14538i)q63+(6.873374.09350i)q64+(0.113957+0.119793i)q65+(13.3801+8.40286i)q66+(3.00737+5.90229i)q67+(4.30307+3.27317i)q68+(3.576011.16192i)q69+(3.08492+0.695173i)q70+(12.57514.08589i)q71+(12.9234+16.1820i)q72+(10.3532+1.63978i)q73+(0.335395+4.95722i)q74+(15.72083.30153i)q75+(0.244577+1.79918i)q76+(0.5439913.43463i)q77+(0.172378+0.288359i)q78+(3.55666+10.9463i)q79+(2.60200+8.55743i)q80+(6.9971521.5350i)q81+(9.62317+11.0198i)q82+(3.821801.94731i)q83+(3.042195.65971i)q84+(1.094305.94476i)q85+(5.838246.98974i)q86+(4.0578125.6200i)q87+(9.206073.46251i)q88+(0.877888+1.20831i)q89+(1.4938423.1053i)q90+(0.04346160.0598197i)q91+(0.7720432.20971i)q92+(12.812512.8125i)q93+(6.98257+17.3955i)q94+(1.151871.67161i)q95+(18.16900.429154i)q96+(6.3089312.3820i)q97+(1.408550.126438i)q9825.4611q99+O(q100)q+(-0.126438 + 1.40855i) q^{2} +(-1.45856 - 2.86259i) q^{3} +(-1.96803 - 0.356188i) q^{4} +(1.35907 + 1.77565i) q^{5} +(4.21651 - 1.69252i) q^{6} +(-0.707107 - 0.707107i) q^{7} +(0.750542 - 2.72703i) q^{8} +(-4.30364 + 5.92345i) q^{9} +(-2.67293 + 1.68981i) q^{10} +(2.04399 + 2.81331i) q^{11} +(1.85087 + 6.15317i) q^{12} +(0.0115670 + 0.0730309i) q^{13} +(1.08540 - 0.906590i) q^{14} +(3.10067 - 6.48034i) q^{15} +(3.74626 + 1.40198i) q^{16} +(-2.40861 - 1.22725i) q^{17} +(-7.79934 - 6.81084i) q^{18} +(-0.280546 - 0.863431i) q^{19} +(-2.04222 - 3.97861i) q^{20} +(-0.992796 + 3.05551i) q^{21} +(-4.22112 + 2.52335i) q^{22} +(-0.183083 + 1.15594i) q^{23} +(-8.90106 + 1.82904i) q^{24} +(-1.30587 + 4.82646i) q^{25} +(-0.104330 + 0.00705877i) q^{26} +(13.7139 + 2.17207i) q^{27} +(1.13974 + 1.64347i) q^{28} +(7.67871 + 2.49497i) q^{29} +(8.73584 + 5.18680i) q^{30} +(5.36384 - 1.74282i) q^{31} +(-2.44842 + 5.09953i) q^{32} +(5.07205 - 9.95446i) q^{33} +(2.03318 - 3.23747i) q^{34} +(0.294568 - 2.21658i) q^{35} +(10.5795 - 10.1246i) q^{36} +(3.47004 - 0.549601i) q^{37} +(1.25166 - 0.285992i) q^{38} +(0.192186 - 0.139631i) q^{39} +(5.86229 - 2.37352i) q^{40} +(8.36936 + 6.08070i) q^{41} +(-4.17831 - 1.78473i) q^{42} +(-4.55361 + 4.55361i) q^{43} +(-3.02055 - 6.26471i) q^{44} +(-16.3669 + 0.408618i) q^{45} +(-1.60505 - 0.404036i) q^{46} +(11.8098 - 6.01737i) q^{47} +(-1.45087 - 12.7689i) q^{48} +1.00000i q^{49} +(-6.63320 - 2.44963i) q^{50} +8.68486i q^{51} +(0.00324867 - 0.147847i) q^{52} +(9.84755 - 5.01758i) q^{53} +(-4.79343 + 19.0421i) q^{54} +(-2.21753 + 7.45288i) q^{55} +(-2.45901 + 1.39759i) q^{56} +(-2.06245 + 2.06245i) q^{57} +(-4.48516 + 10.5004i) q^{58} +(1.40535 + 1.02104i) q^{59} +(-8.41042 + 11.6491i) q^{60} +(-3.22028 + 2.33967i) q^{61} +(1.77665 + 7.77560i) q^{62} +(7.23165 - 1.14538i) q^{63} +(-6.87337 - 4.09350i) q^{64} +(-0.113957 + 0.119793i) q^{65} +(13.3801 + 8.40286i) q^{66} +(-3.00737 + 5.90229i) q^{67} +(4.30307 + 3.27317i) q^{68} +(3.57601 - 1.16192i) q^{69} +(3.08492 + 0.695173i) q^{70} +(-12.5751 - 4.08589i) q^{71} +(12.9234 + 16.1820i) q^{72} +(10.3532 + 1.63978i) q^{73} +(0.335395 + 4.95722i) q^{74} +(15.7208 - 3.30153i) q^{75} +(0.244577 + 1.79918i) q^{76} +(0.543991 - 3.43463i) q^{77} +(0.172378 + 0.288359i) q^{78} +(-3.55666 + 10.9463i) q^{79} +(2.60200 + 8.55743i) q^{80} +(-6.99715 - 21.5350i) q^{81} +(-9.62317 + 11.0198i) q^{82} +(-3.82180 - 1.94731i) q^{83} +(3.04219 - 5.65971i) q^{84} +(-1.09430 - 5.94476i) q^{85} +(-5.83824 - 6.98974i) q^{86} +(-4.05781 - 25.6200i) q^{87} +(9.20607 - 3.46251i) q^{88} +(0.877888 + 1.20831i) q^{89} +(1.49384 - 23.1053i) q^{90} +(0.0434616 - 0.0598197i) q^{91} +(0.772043 - 2.20971i) q^{92} +(-12.8125 - 12.8125i) q^{93} +(6.98257 + 17.3955i) q^{94} +(1.15187 - 1.67161i) q^{95} +(18.1690 - 0.429154i) q^{96} +(-6.30893 - 12.3820i) q^{97} +(-1.40855 - 0.126438i) q^{98} -25.4611 q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 720q+16q10+16q12+4q13+20q1728q1820q204q22+20q25+4q3020q3764q4080q42140q4420q45236q4840q5016q52+20q97+O(q100) 720 q + 16 q^{10} + 16 q^{12} + 4 q^{13} + 20 q^{17} - 28 q^{18} - 20 q^{20} - 4 q^{22} + 20 q^{25} + 4 q^{30} - 20 q^{37} - 64 q^{40} - 80 q^{42} - 140 q^{44} - 20 q^{45} - 236 q^{48} - 40 q^{50} - 16 q^{52}+ \cdots - 20 q^{97}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/700Z)×\left(\mathbb{Z}/700\mathbb{Z}\right)^\times.

nn 101101 351351 477477
χ(n)\chi(n) 11 1-1 e(1120)e\left(\frac{11}{20}\right)

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 −0.126438 + 1.40855i −0.0894051 + 0.995995i
33 −1.45856 2.86259i −0.842100 1.65271i −0.754256 0.656580i 0.772002π-0.772002\pi
−0.0878436 0.996134i 0.527998π-0.527998\pi
44 −1.96803 0.356188i −0.984013 0.178094i
55 1.35907 + 1.77565i 0.607794 + 0.794095i
66 4.21651 1.69252i 1.72138 0.690967i
77 −0.707107 0.707107i −0.267261 0.267261i
88 0.750542 2.72703i 0.265357 0.964150i
99 −4.30364 + 5.92345i −1.43455 + 1.97448i
1010 −2.67293 + 1.68981i −0.845255 + 0.534364i
1111 2.04399 + 2.81331i 0.616285 + 0.848244i 0.997076 0.0764173i 0.0243481π-0.0243481\pi
−0.380791 + 0.924661i 0.624348π0.624348\pi
1212 1.85087 + 6.15317i 0.534299 + 1.77627i
1313 0.0115670 + 0.0730309i 0.00320810 + 0.0202551i 0.989240 0.146299i 0.0467361π-0.0467361\pi
−0.986032 + 0.166554i 0.946736π0.946736\pi
1414 1.08540 0.906590i 0.290085 0.242296i
1515 3.10067 6.48034i 0.800589 1.67322i
1616 3.74626 + 1.40198i 0.936565 + 0.350494i
1717 −2.40861 1.22725i −0.584173 0.297651i 0.136817 0.990596i 0.456313π-0.456313\pi
−0.720990 + 0.692945i 0.756313π0.756313\pi
1818 −7.79934 6.81084i −1.83832 1.60533i
1919 −0.280546 0.863431i −0.0643616 0.198085i 0.913705 0.406379i 0.133209π-0.133209\pi
−0.978066 + 0.208295i 0.933209π0.933209\pi
2020 −2.04222 3.97861i −0.456654 0.889645i
2121 −0.992796 + 3.05551i −0.216646 + 0.666767i
2222 −4.22112 + 2.52335i −0.899946 + 0.537980i
2323 −0.183083 + 1.15594i −0.0381754 + 0.241030i −0.999396 0.0347507i 0.988936π-0.988936\pi
0.961221 + 0.275781i 0.0889363π0.0889363\pi
2424 −8.90106 + 1.82904i −1.81692 + 0.373352i
2525 −1.30587 + 4.82646i −0.261173 + 0.965292i
2626 −0.104330 + 0.00705877i −0.0204608 + 0.00138434i
2727 13.7139 + 2.17207i 2.63924 + 0.418015i
2828 1.13974 + 1.64347i 0.215391 + 0.310586i
2929 7.67871 + 2.49497i 1.42590 + 0.463303i 0.917472 0.397800i 0.130226π-0.130226\pi
0.508429 + 0.861104i 0.330226π0.330226\pi
3030 8.73584 + 5.18680i 1.59494 + 0.946977i
3131 5.36384 1.74282i 0.963375 0.313019i 0.215236 0.976562i 0.430948π-0.430948\pi
0.748138 + 0.663543i 0.230948π0.230948\pi
3232 −2.44842 + 5.09953i −0.432824 + 0.901478i
3333 5.07205 9.95446i 0.882931 1.73285i
3434 2.03318 3.23747i 0.348687 0.555222i
3535 0.294568 2.21658i 0.0497910 0.374671i
3636 10.5795 10.1246i 1.76326 1.68743i
3737 3.47004 0.549601i 0.570472 0.0903538i 0.135467 0.990782i 0.456747π-0.456747\pi
0.435005 + 0.900428i 0.356747π0.356747\pi
3838 1.25166 0.285992i 0.203046 0.0463941i
3939 0.192186 0.139631i 0.0307744 0.0223589i
4040 5.86229 2.37352i 0.926909 0.375286i
4141 8.36936 + 6.08070i 1.30708 + 0.949646i 0.999998 0.00203903i 0.000649043π-0.000649043\pi
0.307077 + 0.951685i 0.400649π0.400649\pi
4242 −4.17831 1.78473i −0.644728 0.275391i
4343 −4.55361 + 4.55361i −0.694419 + 0.694419i −0.963201 0.268782i 0.913379π-0.913379\pi
0.268782 + 0.963201i 0.413379π0.413379\pi
4444 −3.02055 6.26471i −0.455366 0.944440i
4545 −16.3669 + 0.408618i −2.43984 + 0.0609132i
4646 −1.60505 0.404036i −0.236652 0.0595718i
4747 11.8098 6.01737i 1.72263 0.877724i 0.745093 0.666961i 0.232405π-0.232405\pi
0.977537 0.210763i 0.0675948π-0.0675948\pi
4848 −1.45087 12.7689i −0.209415 1.84303i
4949 1.00000i 0.142857i
5050 −6.63320 2.44963i −0.938076 0.346429i
5151 8.68486i 1.21612i
5252 0.00324867 0.147847i 0.000450509 0.0205027i
5353 9.84755 5.01758i 1.35267 0.689217i 0.380779 0.924666i 0.375656π-0.375656\pi
0.971887 + 0.235449i 0.0756560π0.0756560\pi
5454 −4.79343 + 19.0421i −0.652303 + 2.59130i
5555 −2.21753 + 7.45288i −0.299012 + 1.00495i
5656 −2.45901 + 1.39759i −0.328600 + 0.186760i
5757 −2.06245 + 2.06245i −0.273178 + 0.273178i
5858 −4.48516 + 10.5004i −0.588931 + 1.37877i
5959 1.40535 + 1.02104i 0.182960 + 0.132929i 0.675496 0.737364i 0.263930π-0.263930\pi
−0.492535 + 0.870293i 0.663930π0.663930\pi
6060 −8.41042 + 11.6491i −1.08578 + 1.50389i
6161 −3.22028 + 2.33967i −0.412315 + 0.299564i −0.774538 0.632527i 0.782018π-0.782018\pi
0.362223 + 0.932091i 0.382018π0.382018\pi
6262 1.77665 + 7.77560i 0.225635 + 0.987502i
6363 7.23165 1.14538i 0.911102 0.144304i
6464 −6.87337 4.09350i −0.859172 0.511688i
6565 −0.113957 + 0.119793i −0.0141346 + 0.0148585i
6666 13.3801 + 8.40286i 1.64697 + 1.03432i
6767 −3.00737 + 5.90229i −0.367408 + 0.721079i −0.998507 0.0546231i 0.982604π-0.982604\pi
0.631099 + 0.775703i 0.282604π0.282604\pi
6868 4.30307 + 3.27317i 0.521824 + 0.396930i
6969 3.57601 1.16192i 0.430501 0.139878i
7070 3.08492 + 0.695173i 0.368719 + 0.0830891i
7171 −12.5751 4.08589i −1.49239 0.484906i −0.554599 0.832118i 0.687128π-0.687128\pi
−0.937787 + 0.347212i 0.887128π0.887128\pi
7272 12.9234 + 16.1820i 1.52303 + 1.90706i
7373 10.3532 + 1.63978i 1.21175 + 0.191922i 0.729418 0.684069i 0.239791π-0.239791\pi
0.482329 + 0.875990i 0.339791π0.339791\pi
7474 0.335395 + 4.95722i 0.0389889 + 0.576265i
7575 15.7208 3.30153i 1.81529 0.381228i
7676 0.244577 + 1.79918i 0.0280550 + 0.206380i
7777 0.543991 3.43463i 0.0619936 0.391412i
7878 0.172378 + 0.288359i 0.0195180 + 0.0326502i
7979 −3.55666 + 10.9463i −0.400155 + 1.23155i 0.524718 + 0.851276i 0.324171π0.324171\pi
−0.924873 + 0.380275i 0.875829π0.875829\pi
8080 2.60200 + 8.55743i 0.290913 + 0.956750i
8181 −6.99715 21.5350i −0.777461 2.39278i
8282 −9.62317 + 11.0198i −1.06270 + 1.21694i
8383 −3.82180 1.94731i −0.419497 0.213745i 0.231483 0.972839i 0.425642π-0.425642\pi
−0.650981 + 0.759094i 0.725642π0.725642\pi
8484 3.04219 5.65971i 0.331930 0.617525i
8585 −1.09430 5.94476i −0.118694 0.644799i
8686 −5.83824 6.98974i −0.629553 0.753723i
8787 −4.05781 25.6200i −0.435043 2.74676i
8888 9.20607 3.46251i 0.981370 0.369104i
8989 0.877888 + 1.20831i 0.0930559 + 0.128080i 0.853006 0.521901i 0.174777π-0.174777\pi
−0.759950 + 0.649981i 0.774777π0.774777\pi
9090 1.49384 23.1053i 0.157465 2.43551i
9191 0.0434616 0.0598197i 0.00455601 0.00627081i
9292 0.772043 2.20971i 0.0804911 0.230378i
9393 −12.8125 12.8125i −1.32859 1.32859i
9494 6.98257 + 17.3955i 0.720197 + 1.79420i
9595 1.15187 1.67161i 0.118179 0.171504i
9696 18.1690 0.429154i 1.85437 0.0438003i
9797 −6.30893 12.3820i −0.640575 1.25720i −0.951758 0.306850i 0.900725π-0.900725\pi
0.311183 0.950350i 0.399275π-0.399275\pi
9898 −1.40855 0.126438i −0.142285 0.0127722i
9999 −25.4611 −2.55893
100100 4.28911 9.03347i 0.428911 0.903347i
101101 −7.70466 −0.766642 −0.383321 0.923615i 0.625220π-0.625220\pi
−0.383321 + 0.923615i 0.625220π0.625220\pi
102102 −12.2331 1.09810i −1.21125 0.108728i
103103 5.33809 + 10.4766i 0.525978 + 1.03229i 0.989272 + 0.146085i 0.0466673π0.0466673\pi
−0.463294 + 0.886204i 0.653333π0.653333\pi
104104 0.207839 + 0.0232694i 0.0203803 + 0.00228175i
105105 −6.77480 + 2.38979i −0.661152 + 0.233220i
106106 5.82241 + 14.5052i 0.565522 + 1.40887i
107107 −9.53214 9.53214i −0.921507 0.921507i 0.0756292 0.997136i 0.475903π-0.475903\pi
−0.997136 + 0.0756292i 0.975903π0.975903\pi
108108 −26.2157 9.15942i −2.52260 0.881366i
109109 −2.58581 + 3.55906i −0.247676 + 0.340896i −0.914696 0.404144i 0.867570π-0.867570\pi
0.667020 + 0.745040i 0.267570π0.267570\pi
110110 −10.2174 4.06583i −0.974189 0.387662i
111111 −6.63454 9.13167i −0.629723 0.866739i
112112 −1.65766 3.64035i −0.156634 0.343981i
113113 2.75325 + 17.3833i 0.259004 + 1.63529i 0.683567 + 0.729888i 0.260428π0.260428\pi
−0.424563 + 0.905398i 0.639572π0.639572\pi
114114 −2.64429 3.16584i −0.247661 0.296508i
115115 −2.30136 + 1.24591i −0.214603 + 0.116182i
116116 −14.2232 7.64523i −1.32059 0.709841i
117117 −0.482375 0.245782i −0.0445956 0.0227226i
118118 −1.61588 + 1.85040i −0.148754 + 0.170343i
119119 0.835348 + 2.57094i 0.0765762 + 0.235677i
120120 −15.3449 13.3194i −1.40079 1.21589i
121121 −0.337626 + 1.03911i −0.0306933 + 0.0944642i
122122 −2.88838 4.83175i −0.261502 0.437447i
123123 5.19930 32.8271i 0.468805 2.95992i
124124 −11.1770 + 1.51938i −1.00372 + 0.136444i
125125 −10.3449 + 4.24073i −0.925273 + 0.379302i
126126 0.698971 + 10.3310i 0.0622693 + 0.920355i
127127 16.1188 + 2.55297i 1.43031 + 0.226539i 0.823053 0.567965i 0.192269π-0.192269\pi
0.607259 + 0.794504i 0.292269π0.292269\pi
128128 6.63496 9.16392i 0.586453 0.809983i
129129 19.6768 + 6.39338i 1.73245 + 0.562906i
130130 −0.154326 0.175661i −0.0135353 0.0154065i
131131 7.97167 2.59015i 0.696488 0.226303i 0.0606885 0.998157i 0.480670π-0.480670\pi
0.635800 + 0.771854i 0.280670π0.280670\pi
132132 −13.5276 + 17.7840i −1.17743 + 1.54790i
133133 −0.412162 + 0.808913i −0.0357390 + 0.0701417i
134134 −7.93342 4.98230i −0.685344 0.430405i
135135 14.7813 + 27.3031i 1.27217 + 2.34988i
136136 −5.15450 + 5.64724i −0.441995 + 0.484247i
137137 −0.924680 + 0.146455i −0.0790007 + 0.0125125i −0.195810 0.980642i 0.562733π-0.562733\pi
0.116809 + 0.993154i 0.462733π0.462733\pi
138138 1.18447 + 5.18390i 0.100829 + 0.441283i
139139 0.360612 0.262000i 0.0305867 0.0222225i −0.572387 0.819984i 0.693982π-0.693982\pi
0.602974 + 0.797761i 0.293982π0.293982\pi
140140 −1.36924 + 4.25737i −0.115722 + 0.359813i
141141 −34.4505 25.0297i −2.90125 2.10788i
142142 7.34514 17.1960i 0.616391 1.44306i
143143 −0.181816 + 0.181816i −0.0152042 + 0.0152042i
144144 −24.4271 + 16.1572i −2.03559 + 1.34643i
145145 6.00571 + 17.0255i 0.498747 + 1.41389i
146146 −3.61875 + 14.3756i −0.299490 + 1.18973i
147147 2.86259 1.45856i 0.236102 0.120300i
148148 −7.02490 0.154359i −0.577443 0.0126883i
149149 10.4736i 0.858031i 0.903297 + 0.429015i 0.141139π0.141139\pi
−0.903297 + 0.429015i 0.858861π0.858861\pi
150150 2.66266 + 22.5610i 0.217405 + 1.84210i
151151 12.9663i 1.05518i −0.849498 0.527591i 0.823095π-0.823095\pi
0.849498 0.527591i 0.176905π-0.176905\pi
152152 −2.56516 + 0.117015i −0.208062 + 0.00949116i
153153 17.6353 8.98564i 1.42573 0.726446i
154154 4.76906 + 1.20051i 0.384302 + 0.0967395i
155155 10.3845 + 7.15570i 0.834100 + 0.574760i
156156 −0.427963 + 0.206344i −0.0342644 + 0.0165207i
157157 −5.75202 + 5.75202i −0.459061 + 0.459061i −0.898347 0.439286i 0.855231π-0.855231\pi
0.439286 + 0.898347i 0.355231π0.355231\pi
158158 −14.9687 6.39375i −1.19084 0.508660i
159159 −28.7265 20.8710i −2.27816 1.65518i
160160 −12.3826 + 2.58307i −0.978927 + 0.204210i
161161 0.946831 0.687913i 0.0746207 0.0542151i
162162 31.2178 7.13299i 2.45270 0.560421i
163163 −4.11379 + 0.651560i −0.322217 + 0.0510341i −0.315448 0.948943i 0.602155π-0.602155\pi
−0.00676903 + 0.999977i 0.502155π0.502155\pi
164164 −14.3053 14.9480i −1.11705 1.16725i
165165 24.5689 4.52261i 1.91269 0.352084i
166166 3.22610 5.13699i 0.250394 0.398708i
167167 −9.32486 + 18.3011i −0.721579 + 1.41618i 0.180045 + 0.983658i 0.442376π0.442376\pi
−0.901624 + 0.432521i 0.857624π0.857624\pi
168168 7.58733 + 5.00067i 0.585375 + 0.385810i
169169 12.3585 4.01553i 0.950657 0.308887i
170170 8.51185 0.789736i 0.652829 0.0605700i
171171 6.32186 + 2.05410i 0.483445 + 0.157081i
172172 10.5836 7.33968i 0.806989 0.559646i
173173 −4.92119 0.779440i −0.374151 0.0592597i −0.0334727 0.999440i 0.510657π-0.510657\pi
−0.340678 + 0.940180i 0.610657π0.610657\pi
174174 36.6002 2.47629i 2.77465 0.187727i
175175 4.33621 2.48944i 0.327787 0.188184i
176176 3.71312 + 13.4050i 0.279887 + 1.01044i
177177 0.873043 5.51217i 0.0656219 0.414320i
178178 −1.81296 + 1.08377i −0.135887 + 0.0812322i
179179 5.29692 16.3023i 0.395911 1.21849i −0.532339 0.846531i 0.678687π-0.678687\pi
0.928250 0.371957i 0.121313π-0.121313\pi
180180 32.3561 + 5.02553i 2.41168 + 0.374581i
181181 0.931407 + 2.86658i 0.0692309 + 0.213071i 0.979686 0.200537i 0.0642686π-0.0642686\pi
−0.910455 + 0.413608i 0.864269π0.864269\pi
182182 0.0787639 + 0.0687813i 0.00583837 + 0.00509841i
183183 11.3945 + 5.80578i 0.842305 + 0.429176i
184184 3.01487 + 1.36685i 0.222259 + 0.100766i
185185 5.69192 + 5.41464i 0.418479 + 0.398092i
186186 19.6670 16.4270i 1.44205 1.20449i
187187 −1.47054 9.28463i −0.107537 0.678959i
188188 −25.3852 + 7.63585i −1.85141 + 0.556902i
189189 −8.16131 11.2331i −0.593648 0.817086i
190190 2.20891 + 1.83382i 0.160251 + 0.133039i
191191 −10.8384 + 14.9178i −0.784238 + 1.07941i 0.210563 + 0.977580i 0.432470π0.432470\pi
−0.994802 + 0.101831i 0.967530π0.967530\pi
192192 −1.69277 + 25.6462i −0.122165 + 1.85086i
193193 −3.65543 3.65543i −0.263123 0.263123i 0.563198 0.826322i 0.309571π-0.309571\pi
−0.826322 + 0.563198i 0.809571π0.809571\pi
194194 18.2383 7.32090i 1.30944 0.525610i
195195 0.509131 + 0.151487i 0.0364596 + 0.0108482i
196196 0.356188 1.96803i 0.0254420 0.140573i
197197 −0.372579 0.731228i −0.0265452 0.0520978i 0.877353 0.479845i 0.159307π-0.159307\pi
−0.903898 + 0.427748i 0.859307π0.859307\pi
198198 3.21925 35.8632i 0.228782 2.54869i
199199 −1.64864 −0.116869 −0.0584344 0.998291i 0.518611π-0.518611\pi
−0.0584344 + 0.998291i 0.518611π0.518611\pi
200200 12.1818 + 7.18360i 0.861382 + 0.507957i
201201 21.2822 1.50113
202202 0.974161 10.8524i 0.0685417 0.763572i
203203 −3.66546 7.19388i −0.257265 0.504911i
204204 3.09344 17.0920i 0.216584 1.19668i
205205 0.577345 + 23.1251i 0.0403235 + 1.61513i
206206 −15.4317 + 6.19433i −1.07518 + 0.431579i
207207 −6.05923 6.05923i −0.421145 0.421145i
208208 −0.0590548 + 0.289809i −0.00409471 + 0.0200947i
209209 1.85566 2.55410i 0.128359 0.176671i
210210 −2.50955 9.84480i −0.173175 0.679356i
211211 4.58436 + 6.30983i 0.315600 + 0.434387i 0.937118 0.349014i 0.113483π-0.113483\pi
−0.621517 + 0.783400i 0.713483π0.713483\pi
212212 −21.1675 + 6.36715i −1.45379 + 0.437297i
213213 6.64529 + 41.9567i 0.455328 + 2.87483i
214214 14.6317 12.2213i 1.00020 0.835429i
215215 −14.2743 1.89695i −0.973498 0.129371i
216216 16.2162 35.7680i 1.10337 2.43370i
217217 −5.02517 2.56045i −0.341131 0.173815i
218218 −4.68617 4.09224i −0.317388 0.277162i
219219 −10.4067 32.0285i −0.703220 2.16429i
220220 7.01879 13.8776i 0.473207 0.935629i
221221 0.0617667 0.190098i 0.00415488 0.0127874i
222222 13.7013 8.19050i 0.919569 0.549710i
223223 −1.61889 + 10.2213i −0.108409 + 0.684466i 0.872297 + 0.488976i 0.162630π0.162630\pi
−0.980706 + 0.195490i 0.937370π0.937370\pi
224224 5.33721 1.87462i 0.356607 0.125253i
225225 −22.9693 28.5066i −1.53129 1.90044i
226226 −24.8334 + 1.68018i −1.65189 + 0.111764i
227227 −2.27030 0.359580i −0.150685 0.0238661i 0.0806362 0.996744i 0.474305π-0.474305\pi
−0.231321 + 0.972877i 0.574305π0.574305\pi
228228 4.79358 3.32434i 0.317463 0.220160i
229229 −18.5308 6.02103i −1.22455 0.397881i −0.375813 0.926695i 0.622637π-0.622637\pi
−0.848737 + 0.528815i 0.822637π0.822637\pi
230230 −1.46395 3.39912i −0.0965297 0.224131i
231231 −10.6254 + 3.45239i −0.699097 + 0.227150i
232232 12.5670 19.0675i 0.825067 1.25184i
233233 4.85860 9.53553i 0.318297 0.624693i −0.675317 0.737528i 0.735993π-0.735993\pi
0.993614 + 0.112835i 0.0359930π0.0359930\pi
234234 0.407187 0.648374i 0.0266187 0.0423855i
235235 26.7350 + 12.7920i 1.74400 + 0.834456i
236236 −2.40207 2.51001i −0.156362 0.163388i
237237 36.5222 5.78455i 2.37237 0.375747i
238238 −3.72691 + 0.851566i −0.241580 + 0.0551988i
239239 −6.60885 + 4.80161i −0.427491 + 0.310590i −0.780645 0.624975i 0.785109π-0.785109\pi
0.353154 + 0.935565i 0.385109π0.385109\pi
240240 20.7012 19.9300i 1.33626 1.28647i
241241 24.5254 + 17.8188i 1.57982 + 1.14781i 0.916897 + 0.399123i 0.130685π0.130685\pi
0.662926 + 0.748685i 0.269315π0.269315\pi
242242 −1.42094 0.606945i −0.0913417 0.0390159i
243243 −21.9858 + 21.9858i −1.41039 + 1.41039i
244244 7.17097 3.45751i 0.459074 0.221345i
245245 −1.77565 + 1.35907i −0.113442 + 0.0868277i
246246 45.5812 + 11.4741i 2.90615 + 0.731559i
247247 0.0598121 0.0304758i 0.00380575 0.00193913i
248248 −0.726925 15.9354i −0.0461598 1.01190i
249249 13.7805i 0.873304i
250250 −4.66529 15.1074i −0.295059 0.955479i
251251 8.24256i 0.520266i −0.965573 0.260133i 0.916234π-0.916234\pi
0.965573 0.260133i 0.0837664π-0.0837664\pi
252252 −14.6400 0.321688i −0.922236 0.0202645i
253253 −3.62623 + 1.84766i −0.227979 + 0.116161i
254254 −5.63401 + 22.3813i −0.353509 + 1.40433i
255255 −15.4213 + 11.8033i −0.965717 + 0.739152i
256256 12.0689 + 10.5043i 0.754308 + 0.656521i
257257 19.7861 19.7861i 1.23422 1.23422i 0.271899 0.962326i 0.412348π-0.412348\pi
0.962326 0.271899i 0.0876516π-0.0876516\pi
258258 −11.4933 + 26.9074i −0.715541 + 1.67518i
259259 −2.84232 2.06506i −0.176613 0.128317i
260260 0.266939 0.195165i 0.0165549 0.0121036i
261261 −47.8252 + 34.7471i −2.96031 + 2.15079i
262262 2.64044 + 11.5560i 0.163127 + 0.713932i
263263 −16.9344 + 2.68214i −1.04422 + 0.165388i −0.654900 0.755715i 0.727289π-0.727289\pi
−0.389318 + 0.921103i 0.627289π0.627289\pi
264264 −23.3393 21.3029i −1.43644 1.31110i
265265 22.2930 + 10.6666i 1.36945 + 0.655242i
266266 −1.08728 0.682828i −0.0666655 0.0418669i
267267 2.17843 4.27542i 0.133318 0.261651i
268268 8.02090 10.5447i 0.489955 0.644119i
269269 −0.336795 + 0.109431i −0.0205347 + 0.00667214i −0.319266 0.947665i 0.603436π-0.603436\pi
0.298732 + 0.954337i 0.403436π0.403436\pi
270270 −40.3267 + 17.3681i −2.45420 + 1.05699i
271271 22.7533 + 7.39300i 1.38217 + 0.449093i 0.903381 0.428839i 0.141077π-0.141077\pi
0.478785 + 0.877932i 0.341077π0.341077\pi
272272 −7.30270 7.97440i −0.442791 0.483519i
273273 −0.234630 0.0371618i −0.0142005 0.00224914i
274274 −0.0893745 1.32098i −0.00539931 0.0798030i
275275 −16.2475 + 6.19142i −0.979760 + 0.373357i
276276 −7.45154 + 1.01295i −0.448530 + 0.0609724i
277277 2.13994 13.5111i 0.128577 0.811801i −0.836141 0.548515i 0.815194π-0.815194\pi
0.964718 0.263287i 0.0848065π-0.0848065\pi
278278 0.323445 + 0.541066i 0.0193989 + 0.0324510i
279279 −12.7605 + 39.2729i −0.763954 + 2.35121i
280280 −5.82359 2.46693i −0.348026 0.147427i
281281 −1.93437 5.95338i −0.115395 0.355149i 0.876634 0.481157i 0.159783π-0.159783\pi
−0.992029 + 0.126008i 0.959783π0.959783\pi
282282 39.6115 45.3605i 2.35883 2.70118i
283283 1.86390 + 0.949703i 0.110797 + 0.0564540i 0.508511 0.861056i 0.330196π-0.330196\pi
−0.397714 + 0.917510i 0.630196π0.630196\pi
284284 23.2927 + 12.5202i 1.38217 + 0.742939i
285285 −6.46520 0.859179i −0.382966 0.0508934i
286286 −0.233108 0.279085i −0.0137840 0.0165026i
287287 −1.61833 10.2177i −0.0955270 0.603134i
288288 −19.6697 36.4497i −1.15905 2.14782i
289289 −5.69709 7.84138i −0.335123 0.461257i
290290 −24.7407 + 6.30667i −1.45282 + 0.370341i
291291 −26.2425 + 36.1197i −1.53836 + 2.11738i
292292 −19.7912 6.91481i −1.15819 0.404659i
293293 −12.9723 12.9723i −0.757849 0.757849i 0.218081 0.975931i 0.430020π-0.430020\pi
−0.975931 + 0.218081i 0.930020π0.930020\pi
294294 1.69252 + 4.21651i 0.0987095 + 0.245912i
295295 0.0969451 + 3.88307i 0.00564436 + 0.226081i
296296 1.10564 9.87541i 0.0642638 0.573996i
297297 21.9203 + 43.0211i 1.27195 + 2.49634i
298298 −14.7526 1.32426i −0.854595 0.0767123i
299299 −0.0865370 −0.00500456
300300 −32.1150 + 0.897919i −1.85416 + 0.0518414i
301301 6.43978 0.371182
302302 18.2637 + 1.63943i 1.05096 + 0.0943387i
303303 11.2377 + 22.0552i 0.645589 + 1.26704i
304304 0.159512 3.62795i 0.00914866 0.208077i
305305 −8.53103 2.53832i −0.488485 0.145344i
306306 10.4270 + 25.9764i 0.596069 + 1.48497i
307307 1.19164 + 1.19164i 0.0680107 + 0.0680107i 0.740294 0.672283i 0.234686π-0.234686\pi
−0.672283 + 0.740294i 0.734686π0.734686\pi
308308 −2.29396 + 6.56567i −0.130711 + 0.374114i
309309 22.2042 30.5615i 1.26315 1.73858i
310310 −11.3922 + 13.7223i −0.647031 + 0.779374i
311311 6.14312 + 8.45528i 0.348344 + 0.479455i 0.946855 0.321660i 0.104241π-0.104241\pi
−0.598511 + 0.801115i 0.704241π0.704241\pi
312312 −0.236535 0.628896i −0.0133912 0.0356042i
313313 2.38138 + 15.0354i 0.134603 + 0.849853i 0.958910 + 0.283710i 0.0915652π0.0915652\pi
−0.824307 + 0.566143i 0.808435π0.808435\pi
314314 −7.37474 8.82928i −0.416180 0.498265i
315315 11.8621 + 11.2842i 0.668353 + 0.635794i
316316 10.8985 20.2757i 0.613090 1.14060i
317317 −21.3863 10.8968i −1.20117 0.612028i −0.265231 0.964185i 0.585448π-0.585448\pi
−0.935941 + 0.352157i 0.885448π0.885448\pi
318318 33.0300 37.8238i 1.85223 2.12105i
319319 8.67609 + 26.7023i 0.485768 + 1.49504i
320320 −2.07276 17.7681i −0.115871 0.993264i
321321 −13.3834 + 41.1898i −0.746987 + 2.29899i
322322 0.849245 + 1.42064i 0.0473266 + 0.0791690i
323323 −0.383918 + 2.42396i −0.0213618 + 0.134873i
324324 6.10006 + 44.8738i 0.338892 + 2.49299i
325325 −0.367586 0.0395411i −0.0203900 0.00219335i
326326 −0.397616 5.87686i −0.0220219 0.325489i
327327 13.9597 + 2.21100i 0.771972 + 0.122268i
328328 22.8638 18.2597i 1.26244 1.00822i
329329 −12.6057 4.09583i −0.694974 0.225811i
330330 3.26388 + 35.1784i 0.179671 + 1.93651i
331331 −23.4978 + 7.63489i −1.29156 + 0.419652i −0.872636 0.488372i 0.837591π-0.837591\pi
−0.418920 + 0.908023i 0.637591π0.637591\pi
332332 6.82780 + 5.19363i 0.374724 + 0.285038i
333333 −11.6783 + 22.9199i −0.639966 + 1.25600i
334334 −24.5990 15.4485i −1.34599 0.845303i
335335 −14.5676 + 2.68158i −0.795914 + 0.146511i
336336 −8.00302 + 10.0549i −0.436601 + 0.548538i
337337 −27.8023 + 4.40345i −1.51449 + 0.239871i −0.857679 0.514185i 0.828094π-0.828094\pi
−0.656810 + 0.754056i 0.728094π0.728094\pi
338338 4.09349 + 17.9153i 0.222657 + 0.974466i
339339 45.7455 33.2360i 2.48455 1.80513i
340340 0.0361624 + 12.0892i 0.00196118 + 0.655630i
341341 15.8667 + 11.5278i 0.859230 + 0.624267i
342342 −3.69262 + 8.64494i −0.199674 + 0.467465i
343343 0.707107 0.707107i 0.0381802 0.0381802i
344344 9.00015 + 15.8355i 0.485255 + 0.853793i
345345 6.92320 + 4.77062i 0.372732 + 0.256841i
346346 1.72010 6.83319i 0.0924734 0.367354i
347347 17.4031 8.86734i 0.934250 0.476024i 0.0805273 0.996752i 0.474340π-0.474340\pi
0.853722 + 0.520728i 0.174340π0.174340\pi
348348 −1.13967 + 51.8662i −0.0610925 + 2.78032i
349349 16.2156i 0.868000i −0.900913 0.434000i 0.857102π-0.857102\pi
0.900913 0.434000i 0.142898π-0.142898\pi
350350 2.95823 + 6.42253i 0.158124 + 0.343299i
351351 1.02666i 0.0547992i
352352 −19.3511 + 3.53521i −1.03142 + 0.188427i
353353 −4.70626 + 2.39796i −0.250489 + 0.127631i −0.574728 0.818345i 0.694892π-0.694892\pi
0.324239 + 0.945975i 0.394892π0.394892\pi
354354 7.65379 + 1.92667i 0.406794 + 0.102401i
355355 −9.83527 27.8819i −0.522002 1.47982i
356356 −1.29732 2.69068i −0.0687579 0.142606i
357357 6.14112 6.14112i 0.325023 0.325023i
358358 22.2928 + 9.52221i 1.17821 + 0.503264i
359359 12.1034 + 8.79360i 0.638791 + 0.464109i 0.859434 0.511246i 0.170816π-0.170816\pi
−0.220644 + 0.975354i 0.570816π0.570816\pi
360360 −11.1698 + 44.9398i −0.588698 + 2.36853i
361361 14.7045 10.6835i 0.773922 0.562287i
362362 −4.15548 + 0.949490i −0.218407 + 0.0499041i
363363 3.46698 0.549115i 0.181969 0.0288211i
364364 −0.106841 + 0.102246i −0.00559997 + 0.00535917i
365365 11.1590 + 20.6122i 0.584088 + 1.07889i
366366 −9.61843 + 15.3156i −0.502764 + 0.800561i
367367 9.55671 18.7561i 0.498856 0.979060i −0.495054 0.868862i 0.664852π-0.664852\pi
0.993910 0.110198i 0.0351484π-0.0351484\pi
368368 −2.30647 + 4.07377i −0.120233 + 0.212360i
369369 −72.0375 + 23.4064i −3.75012 + 1.21849i
370370 −8.34646 + 7.33275i −0.433912 + 0.381211i
371371 −10.5112 3.41531i −0.545716 0.177314i
372372 20.6516 + 29.7789i 1.07074 + 1.54396i
373373 −5.67504 0.898838i −0.293842 0.0465401i 0.00777285 0.999970i 0.497526π-0.497526\pi
−0.301615 + 0.953430i 0.597526π0.597526\pi
374374 13.2638 0.897401i 0.685855 0.0464035i
375375 27.2280 + 23.4277i 1.40605 + 1.20980i
376376 −7.54582 36.7218i −0.389146 1.89378i
377377 −0.0933902 + 0.589643i −0.00480984 + 0.0303681i
378378 16.8543 10.0753i 0.866889 0.518219i
379379 −7.79517 + 23.9911i −0.400411 + 1.23234i 0.524256 + 0.851561i 0.324344π0.324344\pi
−0.924667 + 0.380777i 0.875656π0.875656\pi
380380 −2.86232 + 2.87949i −0.146834 + 0.147715i
381381 −16.2021 49.8651i −0.830061 2.55467i
382382 −19.6420 17.1526i −1.00497 0.877603i
383383 3.66081 + 1.86527i 0.187058 + 0.0953110i 0.545012 0.838429i 0.316525π-0.316525\pi
−0.357953 + 0.933740i 0.616525π0.616525\pi
384384 −35.9100 5.62700i −1.83252 0.287152i
385385 6.83801 3.70195i 0.348497 0.188669i
386386 5.61103 4.68667i 0.285594 0.238545i
387387 −7.37599 46.5702i −0.374943 2.36730i
388388 8.00584 + 26.6152i 0.406435 + 1.35118i
389389 −4.93507 6.79254i −0.250218 0.344395i 0.665370 0.746514i 0.268274π-0.268274\pi
−0.915588 + 0.402119i 0.868274π0.868274\pi
390390 −0.277750 + 0.697982i −0.0140644 + 0.0353437i
391391 1.85960 2.55951i 0.0940438 0.129440i
392392 2.72703 + 0.750542i 0.137736 + 0.0379081i
393393 −19.0417 19.0417i −0.960527 0.960527i
394394 1.07708 0.432342i 0.0542625 0.0217811i
395395 −24.2705 + 8.56134i −1.22118 + 0.430768i
396396 50.1081 + 9.06894i 2.51803 + 0.455731i
397397 −6.28936 12.3436i −0.315654 0.619506i 0.677604 0.735427i 0.263018π-0.263018\pi
−0.993258 + 0.115921i 0.963018π0.963018\pi
398398 0.208450 2.32219i 0.0104487 0.116401i
399399 2.91675 0.146020
400400 −11.6587 + 16.2504i −0.582935 + 0.812519i
401401 22.2413 1.11068 0.555340 0.831624i 0.312588π-0.312588\pi
0.555340 + 0.831624i 0.312588π0.312588\pi
402402 −2.69088 + 29.9771i −0.134209 + 1.49512i
403403 0.189323 + 0.371567i 0.00943085 + 0.0185091i
404404 15.1630 + 2.74431i 0.754386 + 0.136534i
405405 28.7290 41.6920i 1.42756 2.07169i
406406 10.5964 4.25341i 0.525890 0.211093i
407407 8.63892 + 8.63892i 0.428215 + 0.428215i
408408 23.6839 + 6.51835i 1.17253 + 0.322706i
409409 2.36032 3.24871i 0.116711 0.160638i −0.746665 0.665200i 0.768346π-0.768346\pi
0.863375 + 0.504562i 0.168346π0.168346\pi
410410 −32.6459 2.11068i −1.61227 0.104239i
411411 1.76794 + 2.43336i 0.0872061 + 0.120029i
412412 −6.77387 22.5196i −0.333724 1.10946i
413413 −0.271743 1.71572i −0.0133716 0.0844249i
414414 9.30084 7.76861i 0.457111 0.381806i
415415 −1.73636 9.43271i −0.0852345 0.463033i
416416 −0.400744 0.119825i −0.0196481 0.00587488i
417417 −1.27597 0.650139i −0.0624845 0.0318374i
418418 3.36295 + 2.93673i 0.164487 + 0.143640i
419419 −10.7343 33.0366i −0.524403 1.61394i −0.765494 0.643443i 0.777505π-0.777505\pi
0.241092 0.970502i 0.422495π-0.422495\pi
420420 14.1842 2.29007i 0.692118 0.111744i
421421 4.16899 12.8308i 0.203184 0.625336i −0.796599 0.604508i 0.793370π-0.793370\pi
0.999783 0.0208281i 0.00663028π-0.00663028\pi
422422 −9.46735 + 5.65950i −0.460863 + 0.275500i
423423 −15.1813 + 95.8511i −0.738141 + 4.66044i
424424 −6.29208 30.6205i −0.305570 1.48706i
425425 9.06858 10.0224i 0.439891 0.486159i
426426 −59.9383 + 4.05531i −2.90402 + 0.196480i
427427 3.93148 + 0.622686i 0.190258 + 0.0301339i
428428 15.3643 + 22.1547i 0.742660 + 1.07089i
429429 0.785652 + 0.255274i 0.0379316 + 0.0123247i
430430 4.47676 19.8662i 0.215888 0.958033i
431431 −23.8875 + 7.76153i −1.15062 + 0.373860i −0.821378 0.570385i 0.806794π-0.806794\pi
−0.329245 + 0.944245i 0.606794π0.606794\pi
432432 48.3307 + 27.3637i 2.32531 + 1.31654i
433433 12.9235 25.3638i 0.621064 1.21891i −0.339436 0.940629i 0.610236π-0.610236\pi
0.960501 0.278278i 0.0897637π-0.0897637\pi
434434 4.24190 6.75446i 0.203618 0.324225i
435435 39.9774 42.0246i 1.91677 2.01493i
436436 6.35664 6.08330i 0.304428 0.291337i
437437 1.04944 0.166214i 0.0502013 0.00795111i
438438 46.4296 10.6087i 2.21849 0.506905i
439439 −6.80972 + 4.94755i −0.325010 + 0.236134i −0.738310 0.674461i 0.764376π-0.764376\pi
0.413300 + 0.910595i 0.364376π0.364376\pi
440440 18.6599 + 11.6410i 0.889575 + 0.554962i
441441 −5.92345 4.30364i −0.282069 0.204935i
442442 0.259953 + 0.111037i 0.0123647 + 0.00528150i
443443 −12.1953 + 12.1953i −0.579416 + 0.579416i −0.934742 0.355327i 0.884370π-0.884370\pi
0.355327 + 0.934742i 0.384370π0.384370\pi
444444 9.80437 + 20.3345i 0.465295 + 0.965033i
445445 −0.952424 + 3.20100i −0.0451492 + 0.151742i
446446 −14.1925 3.57264i −0.672033 0.169169i
447447 29.9816 15.2764i 1.41808 0.722548i
448448 1.96567 + 7.75475i 0.0928690 + 0.366378i
449449 4.10992i 0.193959i 0.995286 + 0.0969795i 0.0309181π0.0309181\pi
−0.995286 + 0.0969795i 0.969082π0.969082\pi
450450 43.0571 28.7491i 2.02973 1.35525i
451451 35.9745i 1.69397i
452452 0.773270 35.1915i 0.0363716 1.65527i
453453 −37.1171 + 18.9121i −1.74392 + 0.888569i
454454 0.793537 3.15236i 0.0372426 0.147948i
455455 0.165286 0.00412655i 0.00774874 0.000193456i
456456 4.07641 + 7.17232i 0.190895 + 0.335875i
457457 5.36234 5.36234i 0.250840 0.250840i −0.570475 0.821315i 0.693241π-0.693241\pi
0.821315 + 0.570475i 0.193241π0.193241\pi
458458 10.8239 25.3403i 0.505768 1.18407i
459459 −30.3657 22.0620i −1.41735 1.02977i
460460 4.97292 1.63226i 0.231864 0.0761047i
461461 12.7411 9.25695i 0.593412 0.431139i −0.250122 0.968214i 0.580471π-0.580471\pi
0.843535 + 0.537075i 0.180471π0.180471\pi
462462 −3.51941 15.4029i −0.163738 0.716606i
463463 14.5845 2.30995i 0.677798 0.107353i 0.191961 0.981402i 0.438515π-0.438515\pi
0.485836 + 0.874050i 0.338515π0.338515\pi
464464 25.2686 + 20.1122i 1.17306 + 0.933684i
465465 5.33743 40.1634i 0.247517 1.86253i
466466 12.8170 + 8.04923i 0.593734 + 0.372873i
467467 −11.3942 + 22.3624i −0.527262 + 1.03481i 0.461755 + 0.887008i 0.347220π0.347220\pi
−0.989017 + 0.147803i 0.952780π0.952780\pi
468468 0.861783 + 0.655523i 0.0398359 + 0.0303016i
469469 6.30008 2.04702i 0.290911 0.0945226i
470470 −21.3985 + 36.0402i −0.987037 + 1.66241i
471471 24.8553 + 8.07598i 1.14527 + 0.372122i
472472 3.83919 3.06608i 0.176713 0.141128i
473473 −22.1182 3.50318i −1.01700 0.161076i
474474 3.53004 + 52.1748i 0.162140 + 2.39647i
475475 4.53367 0.226517i 0.208019 0.0103933i
476476 −0.728250 5.35721i −0.0333793 0.245548i
477477 −12.6589 + 79.9254i −0.579613 + 3.65953i
478478 −5.92770 9.91599i −0.271126 0.453547i
479479 11.5392 35.5139i 0.527238 1.62267i −0.232609 0.972570i 0.574726π-0.574726\pi
0.759847 0.650102i 0.225274π-0.225274\pi
480480 25.4550 + 31.6786i 1.16185 + 1.44592i
481481 0.0802757 + 0.247063i 0.00366026 + 0.0112651i
482482 −28.1996 + 32.2924i −1.28446 + 1.47088i
483483 −3.35022 1.70702i −0.152440 0.0776722i
484484 1.03457 1.92473i 0.0470261 0.0874877i
485485 13.4118 28.0304i 0.608998 1.27280i
486486 −28.1883 33.7479i −1.27865 1.53084i
487487 1.19605 + 7.55156i 0.0541981 + 0.342194i 0.999855 + 0.0170274i 0.00542026π0.00542026\pi
−0.945657 + 0.325166i 0.894580π0.894580\pi
488488 3.96340 + 10.5378i 0.179415 + 0.477025i
489489 7.86535 + 10.8257i 0.355683 + 0.489556i
490490 −1.68981 2.67293i −0.0763377 0.120751i
491491 23.1233 31.8264i 1.04354 1.43631i 0.149259 0.988798i 0.452311π-0.452311\pi
0.894279 0.447509i 0.147689π-0.147689\pi
492492 −21.9250 + 62.7526i −0.988454 + 2.82911i
493493 −15.4331 15.4331i −0.695070 0.695070i
494494 0.0353641 + 0.0881016i 0.00159111 + 0.00396388i
495495 −34.6033 45.2100i −1.55530 2.03204i
496496 22.5377 + 0.990930i 1.01197 + 0.0444941i
497497 6.00276 + 11.7811i 0.269260 + 0.528453i
498498 −19.4105 1.74238i −0.869806 0.0780778i
499499 −4.55336 −0.203837 −0.101918 0.994793i 0.532498π-0.532498\pi
−0.101918 + 0.994793i 0.532498π0.532498\pi
500500 21.8695 4.66115i 0.978032 0.208453i
501501 65.9892 2.94818
502502 11.6101 + 1.04217i 0.518182 + 0.0465144i
503503 −16.6882 32.7524i −0.744088 1.46036i −0.882665 0.470003i 0.844253π-0.844253\pi
0.138576 0.990352i 0.455747π-0.455747\pi
504504 2.30417 20.5806i 0.102636 0.916731i
505505 −10.4712 13.6808i −0.465960 0.608787i
506506 −2.14402 5.34134i −0.0953135 0.237451i
507507 −29.5205 29.5205i −1.31105 1.31105i
508508 −30.8129 10.7656i −1.36710 0.477648i
509509 21.9125 30.1599i 0.971253 1.33682i 0.0298416 0.999555i 0.490500π-0.490500\pi
0.941411 0.337260i 0.109500π-0.109500\pi
510510 −14.6757 23.2140i −0.649852 1.02793i
511511 −6.16129 8.48029i −0.272560 0.375146i
512512 −16.3219 + 15.6715i −0.721331 + 0.692591i
513513 −1.97194 12.4504i −0.0870635 0.549697i
514514 25.3680 + 30.3715i 1.11894 + 1.33963i
515515 −11.3479 + 23.7170i −0.500050 + 1.04510i
516516 −36.4472 19.5910i −1.60450 0.862445i
517517 41.0677 + 20.9250i 1.80616 + 0.920282i
518518 3.26812 3.74244i 0.143593 0.164434i
519519 4.94664 + 15.2242i 0.217133 + 0.668267i
520520 0.241149 + 0.400674i 0.0105751 + 0.0175707i
521521 1.78358 5.48931i 0.0781402 0.240491i −0.904354 0.426783i 0.859647π-0.859647\pi
0.982494 + 0.186292i 0.0596470π0.0596470\pi
522522 −42.8961 71.7576i −1.87751 3.14074i
523523 −4.36444 + 27.5560i −0.190844 + 1.20494i 0.687239 + 0.726431i 0.258823π0.258823\pi
−0.878083 + 0.478509i 0.841177π0.841177\pi
524524 −16.6111 + 2.25808i −0.725657 + 0.0986445i
525525 −13.4508 8.78178i −0.587043 0.383268i
526526 −1.63678 24.1920i −0.0713672 1.05482i
527527 −15.0583 2.38499i −0.655948 0.103892i
528528 32.9571 30.1811i 1.43428 1.31346i
529529 20.5716 + 6.68413i 0.894418 + 0.290614i
530530 −17.8431 + 30.0521i −0.775054 + 1.30538i
531531 −12.0962 + 3.93029i −0.524931 + 0.170560i
532532 1.09927 1.44516i 0.0476594 0.0626555i
533533 −0.347271 + 0.681558i −0.0150420 + 0.0295215i
534534 5.74671 + 3.60901i 0.248684 + 0.156177i
535535 3.97091 29.8806i 0.171678 1.29185i
536536 13.8386 + 12.6311i 0.597735 + 0.545580i
537537 −54.3925 + 8.61492i −2.34721 + 0.371761i
538538 −0.111556 0.488229i −0.00480951 0.0210490i
539539 −2.81331 + 2.04399i −0.121178 + 0.0880408i
540540 −19.3650 58.9981i −0.833335 2.53888i
541541 8.86180 + 6.43847i 0.380998 + 0.276812i 0.761757 0.647863i 0.224337π-0.224337\pi
−0.380758 + 0.924675i 0.624337π0.624337\pi
542542 −13.2903 + 31.1144i −0.570867 + 1.33648i
543543 6.84730 6.84730i 0.293846 0.293846i
544544 12.1557 9.27795i 0.521170 0.397789i
545545 −9.83394 + 0.245515i −0.421240 + 0.0105167i
546546 0.0820105 0.325790i 0.00350972 0.0139425i
547547 −0.739673 + 0.376882i −0.0316261 + 0.0161143i −0.469732 0.882809i 0.655649π-0.655649\pi
0.438106 + 0.898923i 0.355649π0.355649\pi
548548 1.87196 + 0.0411329i 0.0799662 + 0.00175711i
549549 29.1443i 1.24385i
550550 −6.66663 23.6682i −0.284266 1.00922i
551551 7.32999i 0.312268i
552552 −0.484632 10.6239i −0.0206273 0.452185i
553553 10.2551 5.22524i 0.436092 0.222200i
554554 18.7604 + 4.72253i 0.797055 + 0.200641i
555555 7.19784 24.1912i 0.305532 1.02686i
556556 −0.803014 + 0.387177i −0.0340554 + 0.0164199i
557557 −9.05930 + 9.05930i −0.383855 + 0.383855i −0.872489 0.488634i 0.837495π-0.837495\pi
0.488634 + 0.872489i 0.337495π0.337495\pi
558558 −53.7045 22.9395i −2.27349 0.971105i
559559 −0.385226 0.279883i −0.0162933 0.0118378i
560560 4.21112 7.89091i 0.177952 0.333452i
561561 −24.4332 + 17.7517i −1.03157 + 0.749479i
562562 8.63021 1.97193i 0.364044 0.0831806i
563563 25.8539 4.09486i 1.08961 0.172578i 0.414323 0.910130i 0.364018π-0.364018\pi
0.675291 + 0.737552i 0.264018π0.264018\pi
564564 58.8842 + 61.5300i 2.47947 + 2.59088i
565565 −27.1249 + 28.5139i −1.14115 + 1.19959i
566566 −1.57337 + 2.50531i −0.0661338 + 0.105306i
567567 −10.2798 + 20.1753i −0.431712 + 0.847282i
568568 −20.5805 + 31.2259i −0.863537 + 1.31021i
569569 17.5782 5.71150i 0.736917 0.239439i 0.0835745 0.996502i 0.473366π-0.473366\pi
0.653342 + 0.757063i 0.273366π0.273366\pi
570570 2.02764 8.99793i 0.0849286 0.376882i
571571 15.1743 + 4.93042i 0.635024 + 0.206332i 0.608799 0.793324i 0.291651π-0.291651\pi
0.0262248 + 0.999656i 0.491651π0.491651\pi
572572 0.422579 0.293058i 0.0176689 0.0122534i
573573 58.5118 + 9.26736i 2.44437 + 0.387150i
574574 14.5968 0.987590i 0.609259 0.0412212i
575575 −5.34001 2.39314i −0.222694 0.0998009i
576576 53.8282 23.0971i 2.24284 0.962381i
577577 1.74314 11.0058i 0.0725679 0.458176i −0.924469 0.381256i 0.875492π-0.875492\pi
0.997037 0.0769195i 0.0245084π-0.0245084\pi
578578 11.7653 7.03320i 0.489372 0.292542i
579579 −5.13231 + 15.7956i −0.213291 + 0.656444i
580580 −5.75511 35.6459i −0.238968 1.48011i
581581 1.32547 + 4.07938i 0.0549897 + 0.169241i
582582 −47.5584 41.5308i −1.97136 1.72151i
583583 34.2443 + 17.4483i 1.41825 + 0.722636i
584584 12.2422 27.0027i 0.506587 1.11738i
585585 −0.219157 1.19056i −0.00906104 0.0492238i
586586 19.9123 16.6319i 0.822570 0.687059i
587587 −0.0310454 0.196013i −0.00128138 0.00809031i 0.987039 0.160478i 0.0513037π-0.0513037\pi
−0.988321 + 0.152388i 0.951304π0.951304\pi
588588 −6.15317 + 1.85087i −0.253752 + 0.0763284i
589589 −3.00961 4.14237i −0.124009 0.170683i
590590 −5.48176 0.354415i −0.225680 0.0145910i
591591 −1.54977 + 2.13308i −0.0637492 + 0.0877432i
592592 13.7702 + 2.80597i 0.565952 + 0.115325i
593593 −14.3735 14.3735i −0.590249 0.590249i 0.347449 0.937699i 0.387048π-0.387048\pi
−0.937699 + 0.347449i 0.887048π0.887048\pi
594594 −63.3689 + 25.4364i −2.60006 + 1.04367i
595595 −3.42979 + 4.97737i −0.140608 + 0.204052i
596596 3.73057 20.6123i 0.152810 0.844314i
597597 2.40464 + 4.71937i 0.0984152 + 0.193151i
598598 0.0109416 0.121892i 0.000447433 0.00498452i
599599 27.4145 1.12013 0.560064 0.828449i 0.310777π-0.310777\pi
0.560064 + 0.828449i 0.310777π0.310777\pi
600600 2.79579 45.3491i 0.114138 1.85137i
601601 11.9310 0.486674 0.243337 0.969942i 0.421758π-0.421758\pi
0.243337 + 0.969942i 0.421758π0.421758\pi
602602 −0.814232 + 9.07075i −0.0331856 + 0.369696i
603603 −22.0193 43.2153i −0.896695 1.75986i
604604 −4.61844 + 25.5180i −0.187922 + 1.03831i
605605 −2.30394 + 0.812710i −0.0936687 + 0.0330414i
606606 −32.4868 + 13.0403i −1.31969 + 0.529724i
607607 11.2316 + 11.2316i 0.455878 + 0.455878i 0.897300 0.441422i 0.145526π-0.145526\pi
−0.441422 + 0.897300i 0.645526π0.645526\pi
608608 5.08999 + 0.683392i 0.206426 + 0.0277152i
609609 −15.2468 + 20.9854i −0.617831 + 0.850371i
610610 4.65400 11.6954i 0.188435 0.473535i
611611 0.576057 + 0.792875i 0.0233048 + 0.0320763i
612612 −37.9074 + 11.4025i −1.53231 + 0.460919i
613613 4.39303 + 27.7365i 0.177433 + 1.12027i 0.902214 + 0.431288i 0.141941π0.141941\pi
−0.724781 + 0.688979i 0.758059π0.758059\pi
614614 −1.82916 + 1.52782i −0.0738189 + 0.0616579i
615615 65.3556 35.3821i 2.63539 1.42674i
616616 −8.95804 4.06131i −0.360930 0.163635i
617617 22.4401 + 11.4338i 0.903403 + 0.460307i 0.843028 0.537869i 0.180771π-0.180771\pi
0.0603744 + 0.998176i 0.480771π0.480771\pi
618618 40.2399 + 35.1399i 1.61869 + 1.41353i
619619 −2.06731 6.36252i −0.0830921 0.255731i 0.900876 0.434077i 0.142925π-0.142925\pi
−0.983968 + 0.178346i 0.942925π0.942925\pi
620620 −17.8881 17.7814i −0.718405 0.714120i
621621 −5.02156 + 15.4548i −0.201508 + 0.620178i
622622 −12.6864 + 7.58382i −0.508678 + 0.304084i
623623 0.233643 1.47516i 0.00936071 0.0591012i
624624 0.915739 0.253655i 0.0366589 0.0101543i
625625 −21.5894 12.6054i −0.863577 0.504217i
626626 −21.4793 + 1.45324i −0.858484 + 0.0580833i
627627 −10.0179 1.58668i −0.400078 0.0633661i
628628 13.3689 9.27133i 0.533479 0.369966i
629629 −9.03247 2.93483i −0.360148 0.117019i
630630 −17.3942 + 15.2816i −0.693002 + 0.608834i
631631 −3.25306 + 1.05698i −0.129502 + 0.0420779i −0.373051 0.927811i 0.621688π-0.621688\pi
0.243549 + 0.969889i 0.421688π0.421688\pi
632632 27.1814 + 17.9147i 1.08122 + 0.712610i
633633 11.3759 22.3264i 0.452150 0.887394i
634634 18.0528 28.7458i 0.716968 1.14164i
635635 17.3734 + 32.0910i 0.689441 + 1.27349i
636636 49.1005 + 51.3068i 1.94696 + 2.03445i
637637 −0.0730309 + 0.0115670i −0.00289359 + 0.000458300i
638638 −38.7085 + 8.84453i −1.53248 + 0.350158i
639639 78.3211 56.9036i 3.09834 2.25107i
640640 25.2893 0.673030i 0.999646 0.0266038i
641641 26.0128 + 18.8994i 1.02745 + 0.746483i 0.967796 0.251736i 0.0810016π-0.0810016\pi
0.0596497 + 0.998219i 0.481002π0.481002\pi
642642 −56.3257 24.0591i −2.22300 0.949536i
643643 −6.34830 + 6.34830i −0.250352 + 0.250352i −0.821115 0.570763i 0.806648π-0.806648\pi
0.570763 + 0.821115i 0.306648π0.306648\pi
644644 −2.10842 + 1.01658i −0.0830832 + 0.0400589i
645645 15.3897 + 43.6282i 0.605969 + 1.71786i
646646 −3.36573 0.847249i −0.132423 0.0333346i
647647 −27.2070 + 13.8627i −1.06962 + 0.544998i −0.897923 0.440152i 0.854925π-0.854925\pi
−0.171696 + 0.985150i 0.554925π0.554925\pi
648648 −63.9782 + 2.91849i −2.51330 + 0.114649i
649649 6.04067i 0.237117i
650650 0.102172 0.512763i 0.00400753 0.0201122i
651651 18.1195i 0.710161i
652652 8.32812 + 0.182995i 0.326154 + 0.00716665i
653653 −30.3741 + 15.4764i −1.18863 + 0.605638i −0.932558 0.361020i 0.882429π-0.882429\pi
−0.256073 + 0.966658i 0.582429π0.582429\pi
654654 −4.87933 + 19.3834i −0.190797 + 0.757949i
655655 15.4333 + 10.6347i 0.603027 + 0.415532i
656656 22.8288 + 34.5135i 0.891316 + 1.34753i
657657 −54.2695 + 54.2695i −2.11725 + 2.11725i
658658 7.36302 17.2379i 0.287041 0.672002i
659659 −11.1781 8.12136i −0.435437 0.316363i 0.348382 0.937352i 0.386731π-0.386731\pi
−0.783819 + 0.620989i 0.786731π0.786731\pi
660660 −49.9632 + 0.149454i −1.94481 + 0.00581751i
661661 1.26178 0.916736i 0.0490775 0.0356569i −0.562976 0.826473i 0.690344π-0.690344\pi
0.612054 + 0.790816i 0.290344π0.290344\pi
662662 −7.78312 34.0632i −0.302500 1.32390i
663663 −0.634263 + 0.100457i −0.0246327 + 0.00390144i
664664 −8.17878 + 8.96063i −0.317398 + 0.347740i
665665 −1.99650 + 0.367513i −0.0774211 + 0.0142516i
666666 −30.8073 19.3474i −1.19376 0.749696i
667667 −4.28987 + 8.41934i −0.166104 + 0.325998i
668668 24.8702 32.6956i 0.962257 1.26503i
669669 31.6205 10.2741i 1.22252 0.397220i
670670 −1.93525 20.8583i −0.0747651 0.805825i
671671 −13.1644 4.27739i −0.508208 0.165127i
672672 −13.1509 12.5440i −0.507307 0.483894i
673673 −35.4888 5.62087i −1.36799 0.216669i −0.571145 0.820849i 0.693501π-0.693501\pi
−0.796847 + 0.604181i 0.793501π0.793501\pi
674674 −2.68722 39.7177i −0.103508 1.52987i
675675 −28.3919 + 63.3532i −1.09281 + 2.43846i
676676 −25.7522 + 3.50071i −0.990470 + 0.134643i
677677 −1.45609 + 9.19341i −0.0559622 + 0.353331i 0.943779 + 0.330577i 0.107243π0.107243\pi
−0.999741 + 0.0227541i 0.992757π0.992757\pi
678678 41.0307 + 68.6371i 1.57577 + 2.63599i
679679 −4.29429 + 13.2165i −0.164800 + 0.507202i
680680 −17.0328 1.47760i −0.653180 0.0566633i
681681 2.28204 + 7.02338i 0.0874478 + 0.269137i
682682 −18.2437 + 20.8915i −0.698587 + 0.799977i
683683 1.07479 + 0.547633i 0.0411257 + 0.0209546i 0.474432 0.880292i 0.342653π-0.342653\pi
−0.433307 + 0.901247i 0.642653π0.642653\pi
684684 −11.7099 6.29429i −0.447741 0.240668i
685685 −1.51676 1.44287i −0.0579523 0.0551291i
686686 0.906590 + 1.08540i 0.0346138 + 0.0414408i
687687 9.79260 + 61.8281i 0.373611 + 2.35889i
688688 −23.4431 + 10.6750i −0.893758 + 0.406979i
689689 0.480345 + 0.661138i 0.0182997 + 0.0251873i
690690 −7.59501 + 9.14848i −0.289137 + 0.348277i
691691 15.8698 21.8430i 0.603717 0.830945i −0.392325 0.919827i 0.628329π-0.628329\pi
0.996042 + 0.0888812i 0.0283291π0.0283291\pi
692692 9.40740 + 3.28683i 0.357616 + 0.124946i
693693 18.0037 + 18.0037i 0.683904 + 0.683904i
694694 10.2897 + 25.6344i 0.390591 + 0.973067i
695695 0.955315 + 0.284244i 0.0362372 + 0.0107820i
696696 −72.9121 8.16314i −2.76373 0.309423i
697697 −12.6960 24.9173i −0.480895 0.943810i
698698 22.8404 + 2.05026i 0.864524 + 0.0776036i
699699 −34.3828 −1.30048
700700 −9.42048 + 3.35477i −0.356061 + 0.126798i
701701 24.4885 0.924917 0.462458 0.886641i 0.346967π-0.346967\pi
0.462458 + 0.886641i 0.346967π0.346967\pi
702702 −1.44611 0.129809i −0.0545798 0.00489933i
703703 −1.44805 2.84195i −0.0546141 0.107186i
704704 −2.53281 27.7040i −0.0954589 1.04413i
705705 −2.37650 95.1891i −0.0895042 3.58503i
706706 −2.78260 6.93220i −0.104724 0.260897i
707707 5.44802 + 5.44802i 0.204894 + 0.204894i
708708 −3.68154 + 10.5371i −0.138361 + 0.396010i
709709 −13.7222 + 18.8871i −0.515350 + 0.709318i −0.984810 0.173635i 0.944449π-0.944449\pi
0.469460 + 0.882954i 0.344449π0.344449\pi
710710 40.5166 10.3281i 1.52056 0.387608i
711711 −49.5331 68.1765i −1.85764 2.55682i
712712 3.95399 1.48714i 0.148182 0.0557329i
713713 1.03256 + 6.51935i 0.0386698 + 0.244152i
714714 7.87361 + 9.42655i 0.294662 + 0.352780i
715715 −0.569941 0.0757411i −0.0213146 0.00283256i
716716 −16.2312 + 30.1966i −0.606587 + 1.12850i
717717 23.3844 + 11.9149i 0.873307 + 0.444972i
718718 −13.9166 + 15.9363i −0.519361 + 0.594739i
719719 −13.2468 40.7695i −0.494023 1.52045i −0.818474 0.574544i 0.805180π-0.805180\pi
0.324451 0.945902i 0.394820π-0.394820\pi
720720 −61.8876 21.4152i −2.30642 0.798099i
721721 3.63347 11.1827i 0.135317 0.416464i
722722 13.1890 + 22.0628i 0.490843 + 0.821094i
723723 15.2359 96.1959i 0.566631 3.57757i
724724 −0.811993 5.97326i −0.0301775 0.221994i
725725 −22.0692 + 33.8029i −0.819630 + 1.25541i
726726 0.335099 + 4.95284i 0.0124367 + 0.183817i
727727 −16.0731 2.54573i −0.596119 0.0944160i −0.148918 0.988850i 0.547579π-0.547579\pi
−0.447201 + 0.894434i 0.647579π0.647579\pi
728728 −0.130510 0.163418i −0.00483704 0.00605668i
729729 30.3988 + 9.87718i 1.12588 + 0.365822i
730730 −30.4442 + 13.1118i −1.12679 + 0.485291i
731731 16.5563 5.37945i 0.612355 0.198966i
732732 −20.3567 15.4845i −0.752406 0.572324i
733733 −16.9005 + 33.1691i −0.624234 + 1.22513i 0.334921 + 0.942246i 0.391290π0.391290\pi
−0.959155 + 0.282882i 0.908710π0.908710\pi
734734 25.2106 + 15.8326i 0.930539 + 0.584391i
735735 6.48034 + 3.10067i 0.239031 + 0.114370i
736736 −5.44648 3.76386i −0.200760 0.138738i
737737 −22.7520 + 3.60356i −0.838080 + 0.132739i
738738 −23.8608 104.428i −0.878329 3.84404i
739739 −37.8883 + 27.5275i −1.39374 + 1.01261i −0.398301 + 0.917255i 0.630400π0.630400\pi
−0.995443 + 0.0953592i 0.969600π0.969600\pi
740740 −9.27323 12.6835i −0.340891 0.466256i
741741 −0.174479 0.126766i −0.00640965 0.00465688i
742742 6.13965 14.3738i 0.225394 0.527678i
743743 1.74948 1.74948i 0.0641820 0.0641820i −0.674287 0.738469i 0.735549π-0.735549\pi
0.738469 + 0.674287i 0.235549π0.235549\pi
744744 −44.5562 + 25.3236i −1.63351 + 0.928410i
745745 −18.5974 + 14.2343i −0.681358 + 0.521506i
746746 1.98360 7.87993i 0.0726247 0.288505i
747747 27.9824 14.2578i 1.02382 0.521664i
748748 −0.413012 + 18.7962i −0.0151012 + 0.687257i
749749 13.4805i 0.492566i
750750 −36.4417 + 35.3899i −1.33066 + 1.29226i
751751 1.87197i 0.0683093i −0.999417 0.0341547i 0.989126π-0.989126\pi
0.999417 0.0341547i 0.0108739π-0.0108739\pi
752752 52.6786 5.98564i 1.92099 0.218274i
753753 −23.5950 + 12.0223i −0.859851 + 0.438116i
754754 −0.818733 0.206098i −0.0298165 0.00750565i
755755 23.0236 17.6221i 0.837915 0.641334i
756756 12.0606 + 25.0140i 0.438639 + 0.909749i
757757 10.6552 10.6552i 0.387271 0.387271i −0.486442 0.873713i 0.661705π-0.661705\pi
0.873713 + 0.486442i 0.161705π0.161705\pi
758758 −32.8070 14.0133i −1.19160 0.508985i
759759 10.5781 + 7.68547i 0.383962 + 0.278965i
760760 −3.69401 4.39580i −0.133996 0.159452i
761761 19.8929 14.4530i 0.721115 0.523921i −0.165625 0.986189i 0.552964π-0.552964\pi
0.886740 + 0.462268i 0.152964π0.152964\pi
762762 72.2860 16.5167i 2.61865 0.598337i
763763 4.34508 0.688193i 0.157303 0.0249143i
764764 26.6438 25.4981i 0.963938 0.922487i
765765 39.9230 + 19.1020i 1.44342 + 0.690636i
766766 −3.09020 + 4.92059i −0.111653 + 0.177788i
767767 −0.0583122 + 0.114444i −0.00210553 + 0.00413234i
768768 12.4663 49.8695i 0.449839 1.79951i
769769 −26.2801 + 8.53892i −0.947685 + 0.307921i −0.741774 0.670650i 0.766015π-0.766015\pi
−0.205910 + 0.978571i 0.566015π0.566015\pi
770770 4.34980 + 10.0998i 0.156756 + 0.363970i
771771 −85.4987 27.7802i −3.07916 1.00048i
772772 5.89196 + 8.49599i 0.212056 + 0.305778i
773773 0.686778 + 0.108775i 0.0247017 + 0.00391236i 0.168773 0.985655i 0.446019π-0.446019\pi
−0.144071 + 0.989567i 0.546019π0.546019\pi
774774 66.5290 4.50122i 2.39134 0.161793i
775775 1.40718 + 28.1643i 0.0505474 + 1.01169i
776776 −38.5011 + 7.91145i −1.38211 + 0.284004i
777777 −1.76573 + 11.1484i −0.0633453 + 0.399946i
778778 10.1916 6.09245i 0.365387 0.218425i
779779 2.90227 8.93228i 0.103985 0.320032i
780780 −0.948025 0.479476i −0.0339447 0.0171680i
781781 −14.2084 43.7290i −0.508417 1.56475i
782782 3.37008 + 2.94295i 0.120514 + 0.105240i
783783 99.8859 + 50.8944i 3.56963 + 1.81882i
784784 −1.40198 + 3.74626i −0.0500706 + 0.133795i
785785 −18.0310 2.39619i −0.643553 0.0855236i
786786 29.2288 24.4136i 1.04256 0.870804i
787787 −0.937263 5.91764i −0.0334098 0.210941i 0.965336 0.261011i 0.0840558π-0.0840558\pi
−0.998746 + 0.0500694i 0.984056π0.984056\pi
788788 0.472791 + 1.57179i 0.0168425 + 0.0559925i
789789 32.3777 + 44.5640i 1.15268 + 1.58652i
790790 −8.99038 35.2687i −0.319863 1.25480i
791791 10.3450 14.2387i 0.367827 0.506270i
792792 −19.1096 + 69.4331i −0.679031 + 2.46720i
793793 −0.208117 0.208117i −0.00739047 0.00739047i
794794 18.1818 7.29819i 0.645246 0.259003i
795795 −1.98164 79.3733i −0.0702817 2.81508i
796796 3.24456 + 0.587225i 0.115000 + 0.0208136i
797797 −24.2883 47.6685i −0.860336 1.68851i −0.715002 0.699123i 0.753574π-0.753574\pi
−0.145335 0.989383i 0.546426π-0.546426\pi
798798 −0.368787 + 4.10838i −0.0130549 + 0.145435i
799799 −35.8299 −1.26757
800800 −21.4154 18.4765i −0.757148 0.653244i
801801 −10.9355 −0.386386
802802 −2.81215 + 31.3280i −0.0993004 + 1.10623i
803803 16.5485 + 32.4783i 0.583985 + 1.14614i
804804 −41.8840 7.58048i −1.47713 0.267343i
805805 2.50830 + 0.746320i 0.0884060 + 0.0263043i
806806 −0.547309 + 0.219691i −0.0192781 + 0.00773828i
807807 0.804492 + 0.804492i 0.0283195 + 0.0283195i
808808 −5.78267 + 21.0108i −0.203434 + 0.739158i
809809 −23.5924 + 32.4721i −0.829464 + 1.14166i 0.158559 + 0.987350i 0.449315π0.449315\pi
−0.988023 + 0.154309i 0.950685π0.950685\pi
810810 55.0929 + 45.7377i 1.93577 + 1.60706i
811811 −24.4958 33.7156i −0.860165 1.18392i −0.981530 0.191308i 0.938727π-0.938727\pi
0.121365 0.992608i 0.461273π-0.461273\pi
812812 4.65136 + 15.4633i 0.163231 + 0.542657i
813813 −12.0240 75.9165i −0.421700 2.66251i
814814 −13.2606 + 11.0761i −0.464785 + 0.388216i
815815 −6.74786 6.41913i −0.236367 0.224852i
816816 −12.1760 + 32.5357i −0.426244 + 1.13898i
817817 5.20922 + 2.65423i 0.182248 + 0.0928598i
818818 4.27753 + 3.73539i 0.149560 + 0.130605i
819819 0.167296 + 0.514885i 0.00584581 + 0.0179915i
820820 7.10068 45.7166i 0.247966 1.59649i
821821 −4.05554 + 12.4817i −0.141539 + 0.435614i −0.996550 0.0829973i 0.973551π-0.973551\pi
0.855010 + 0.518611i 0.173551π0.173551\pi
822822 −3.65105 + 2.18256i −0.127345 + 0.0761256i
823823 4.54237 28.6794i 0.158337 0.999702i −0.772698 0.634773i 0.781093π-0.781093\pi
0.931036 0.364928i 0.118907π-0.118907\pi
824824 32.5764 6.69400i 1.13485 0.233197i
825825 41.4214 + 37.4793i 1.44211 + 1.30486i
826826 2.45103 0.165832i 0.0852823 0.00577002i
827827 −50.3119 7.96862i −1.74952 0.277096i −0.802121 0.597162i 0.796295π-0.796295\pi
−0.947395 + 0.320066i 0.896295π0.896295\pi
828828 9.76649 + 14.0829i 0.339409 + 0.489416i
829829 −31.6985 10.2995i −1.10093 0.357715i −0.298472 0.954418i 0.596477π-0.596477\pi
−0.802462 + 0.596703i 0.796477π0.796477\pi
830830 13.5060 1.25310i 0.468799 0.0434956i
831831 −41.7978 + 13.5809i −1.44995 + 0.471117i
832832 0.219448 0.549318i 0.00760799 0.0190442i
833833 1.22725 2.40861i 0.0425216 0.0834533i
834834 1.07708 1.71507i 0.0372964 0.0593878i
835835 −45.1694 + 8.31472i −1.56315 + 0.287743i
836836 −4.56174 + 4.36558i −0.157771 + 0.150987i
837837 77.3448 12.2502i 2.67343 0.423429i
838838 47.8910 10.9426i 1.65437 0.378008i
839839 23.3666 16.9768i 0.806705 0.586105i −0.106169 0.994348i 0.533858π-0.533858\pi
0.912873 + 0.408243i 0.133858π0.133858\pi
840840 1.43226 + 20.2687i 0.0494176 + 0.699337i
841841 29.2763 + 21.2705i 1.00953 + 0.733464i
842842 17.5457 + 7.49453i 0.604666 + 0.258279i
843843 −14.2207 + 14.2207i −0.489786 + 0.489786i
844844 −6.77465 14.0508i −0.233193 0.483649i
845845 23.9263 + 16.4871i 0.823089 + 0.567172i
846846 −133.092 33.5029i −4.57578 1.15185i
847847 0.973496 0.496021i 0.0334497 0.0170435i
848848 43.9260 4.99112i 1.50843 0.171396i
849849 6.72076i 0.230656i
850850 12.9705 + 14.0408i 0.444884 + 0.481594i
851851 4.11178i 0.140950i
852852 1.86638 84.9389i 0.0639411 2.90996i
853853 −12.7662 + 6.50472i −0.437108 + 0.222717i −0.658675 0.752428i 0.728883π-0.728883\pi
0.221567 + 0.975145i 0.428883π0.428883\pi
854854 −1.37417 + 5.45896i −0.0470232 + 0.186802i
855855 4.94448 + 14.0171i 0.169098 + 0.479373i
856856 −33.1487 + 18.8401i −1.13300 + 0.643943i
857857 5.50998 5.50998i 0.188217 0.188217i −0.606708 0.794925i 0.707510π-0.707510\pi
0.794925 + 0.606708i 0.207510π0.207510\pi
858858 −0.458902 + 1.07435i −0.0156667 + 0.0366778i
859859 16.4136 + 11.9252i 0.560026 + 0.406883i 0.831469 0.555572i 0.187501π-0.187501\pi
−0.271442 + 0.962455i 0.587501π0.587501\pi
860860 27.4165 + 8.81758i 0.934895 + 0.300677i
861861 −26.8887 + 19.5358i −0.916365 + 0.665778i
862862 −7.91222 34.6281i −0.269491 1.17944i
863863 −16.2307 + 2.57070i −0.552501 + 0.0875076i −0.426442 0.904515i 0.640233π-0.640233\pi
−0.126059 + 0.992023i 0.540233π0.540233\pi
864864 −44.6540 + 64.6164i −1.51916 + 2.19829i
865865 −5.30422 9.79762i −0.180349 0.333129i
866866 34.0922 + 21.4104i 1.15850 + 0.727553i
867867 −14.1371 + 27.7455i −0.480120 + 0.942288i
868868 8.97766 + 6.82894i 0.304722 + 0.231789i
869869 −38.0650 + 12.3681i −1.29127 + 0.419558i
870870 54.1391 + 61.6236i 1.83549 + 2.08924i
871871 −0.465836 0.151359i −0.0157842 0.00512861i
872872 7.76491 + 9.72281i 0.262953 + 0.329256i
873873 100.495 + 15.9169i 3.40126 + 0.538706i
874874 0.101433 + 1.49920i 0.00343101 + 0.0507112i
875875 10.3136 + 4.31628i 0.348662 + 0.145917i
876876 9.07248 + 66.7398i 0.306531 + 2.25493i
877877 4.82044 30.4351i 0.162775 1.02772i −0.762104 0.647455i 0.775833π-0.775833\pi
0.924878 0.380264i 0.124167π-0.124167\pi
878878 −6.10786 10.2174i −0.206130 0.344820i
879879 −18.2134 + 56.0551i −0.614323 + 1.89069i
880880 −18.7562 + 24.8115i −0.632272 + 0.836396i
881881 −8.65880 26.6490i −0.291722 0.897829i −0.984303 0.176488i 0.943526π-0.943526\pi
0.692580 0.721341i 0.256474π-0.256474\pi
882882 6.81084 7.79934i 0.229333 0.262617i
883883 13.2849 + 6.76898i 0.447072 + 0.227794i 0.663007 0.748613i 0.269280π-0.269280\pi
−0.215935 + 0.976408i 0.569280π0.569280\pi
884884 −0.189269 + 0.352118i −0.00636582 + 0.0118430i
885885 10.9742 5.94120i 0.368894 0.199711i
886886 −15.6357 18.7196i −0.525293 0.628898i
887887 −0.354375 2.23744i −0.0118988 0.0751258i 0.981024 0.193884i 0.0621086π-0.0621086\pi
−0.992923 + 0.118758i 0.962109π0.962109\pi
888888 −29.8818 + 11.2389i −1.00277 + 0.377153i
889889 −9.59249 13.2029i −0.321722 0.442812i
890890 −4.38834 1.74626i −0.147098 0.0585349i
891891 46.2825 63.7024i 1.55052 2.13411i
892892 6.82671 19.5391i 0.228575 0.654217i
893893 −8.50876 8.50876i −0.284735 0.284735i
894894 17.7267 + 44.1621i 0.592870 + 1.47700i
895895 36.1460 12.7504i 1.20823 0.426199i
896896 −11.1715 + 1.78825i −0.373213 + 0.0597411i
897897 0.126219 + 0.247719i 0.00421434 + 0.00827111i
898898 −5.78903 0.519650i −0.193182 0.0173409i
899899 45.5357 1.51870
900900 35.0505 + 64.2831i 1.16835 + 2.14277i
901901 −29.8767 −0.995337
902902 −50.6718 4.54854i −1.68719 0.151450i
903903 −9.39280 18.4344i −0.312573 0.613459i
904904 49.4713 + 5.53873i 1.64539 + 0.184216i
905905 −3.82419 + 5.54973i −0.127120 + 0.184479i
906906 −21.9457 54.6726i −0.729096 1.81637i
907907 39.9891 + 39.9891i 1.32782 + 1.32782i 0.907271 + 0.420547i 0.138162π0.138162\pi
0.420547 + 0.907271i 0.361838π0.361838\pi
908908 4.33993 + 1.51632i 0.144026 + 0.0503207i
909909 33.1581 45.6382i 1.09978 1.51372i
910910 −0.0150860 + 0.233336i −0.000500095 + 0.00773500i
911911 −4.96295 6.83092i −0.164430 0.226318i 0.718849 0.695166i 0.244669π-0.244669\pi
−0.883279 + 0.468848i 0.844669π0.844669\pi
912912 −10.6180 + 4.83497i −0.351597 + 0.160102i
913913 −2.33335 14.7322i −0.0772225 0.487564i
914914 6.87512 + 8.23113i 0.227409 + 0.272261i
915915 5.17685 + 28.1231i 0.171142 + 0.929721i
916916 34.3245 + 18.4500i 1.13411 + 0.609605i
917917 −7.46834 3.80531i −0.246626 0.125662i
918918 34.9148 39.9822i 1.15236 1.31961i
919919 10.6086 + 32.6500i 0.349946 + 1.07702i 0.958882 + 0.283804i 0.0915964π0.0915964\pi
−0.608937 + 0.793219i 0.708404π0.708404\pi
920920 1.67036 + 7.21099i 0.0550701 + 0.237739i
921921 1.67310 5.14927i 0.0551305 0.169674i
922922 11.4279 + 19.1169i 0.376359 + 0.629582i
923923 0.152941 0.965630i 0.00503411 0.0317841i
924924 22.1407 3.00976i 0.728375 0.0990139i
925925 −1.87879 + 17.4657i −0.0617741 + 0.574270i
926926 1.40965 + 20.8350i 0.0463241 + 0.684681i
927927 −85.0308 13.4676i −2.79278 0.442333i
928928 −31.5239 + 33.0491i −1.03482 + 1.08489i
929929 −23.7048 7.70215i −0.777729 0.252699i −0.106859 0.994274i 0.534079π-0.534079\pi
−0.670870 + 0.741575i 0.734079π0.734079\pi
930930 55.8974 + 12.5962i 1.83295 + 0.413046i
931931 0.863431 0.280546i 0.0282978 0.00919451i
932932 −12.9583 + 17.0356i −0.424463 + 0.558020i
933933 15.2438 29.9177i 0.499061 0.979462i
934934 −30.0580 18.8768i −0.983527 0.617668i
935935 14.4877 15.2296i 0.473798 0.498062i
936936 −1.03230 + 1.13098i −0.0337417 + 0.0369673i
937937 −32.2481 + 5.10759i −1.05350 + 0.166858i −0.659079 0.752073i 0.729054π-0.729054\pi
−0.394418 + 0.918931i 0.629054π0.629054\pi
938938 2.08676 + 9.13280i 0.0681352 + 0.298196i
939939 39.5668 28.7470i 1.29121 0.938122i
940940 −48.0589 34.6976i −1.56751 1.13171i
941941 1.36533 + 0.991974i 0.0445086 + 0.0323374i 0.609817 0.792542i 0.291243π-0.291243\pi
−0.565309 + 0.824880i 0.691243π0.691243\pi
942942 −14.5181 + 33.9889i −0.473025 + 1.10742i
943943 −8.56120 + 8.56120i −0.278791 + 0.278791i
944944 3.83331 + 5.79535i 0.124764 + 0.188623i
945945 8.85424 29.7582i 0.288028 0.968033i
946946 7.73099 30.7117i 0.251356 0.998523i
947947 49.1101 25.0228i 1.59586 0.813133i 0.595915 0.803048i 0.296790π-0.296790\pi
0.999949 0.0100855i 0.00321038π-0.00321038\pi
948948 −73.9371 1.62463i −2.40136 0.0527656i
949949 0.775069i 0.0251598i
950950 −0.254166 + 6.41454i −0.00824625 + 0.208115i
951951 77.1137i 2.50058i
952952 7.63798 0.348422i 0.247548 0.0112924i
953953 −6.62266 + 3.37442i −0.214529 + 0.109308i −0.557953 0.829872i 0.688413π-0.688413\pi
0.343424 + 0.939180i 0.388413π0.388413\pi
954954 −110.978 27.9363i −3.59306 0.904472i
955955 −41.2188 + 1.02907i −1.33381 + 0.0333001i
956956 14.7167 7.09570i 0.475971 0.229491i
957957 63.7829 63.7829i 2.06181 2.06181i
958958 48.5641 + 20.7438i 1.56904 + 0.670202i
959959 0.757407 + 0.550288i 0.0244579 + 0.0177697i
960960 −47.8393 + 31.8492i −1.54401 + 1.02793i
961961 0.653870 0.475064i 0.0210926 0.0153247i
962962 −0.358151 + 0.0818342i −0.0115472 + 0.00263844i
963963 97.4861 15.4403i 3.14145 0.497556i
964964 −41.9199 43.8035i −1.35015 1.41082i
965965 1.52278 11.4587i 0.0490201 0.368870i
966966 2.82802 4.50312i 0.0909901 0.144885i
967967 17.6622 34.6640i 0.567977 1.11472i −0.411169 0.911559i 0.634879π-0.634879\pi
0.979146 0.203159i 0.0651207π-0.0651207\pi
968968 2.58027 + 1.70061i 0.0829330 + 0.0546596i
969969 7.49877 2.43650i 0.240895 0.0782716i
970970 37.7865 + 22.4353i 1.21325 + 0.720354i
971971 32.7371 + 10.6369i 1.05058 + 0.341356i 0.782898 0.622150i 0.213741π-0.213741\pi
0.267687 + 0.963506i 0.413741π0.413741\pi
972972 51.0997 35.4376i 1.63902 1.13666i
973973 −0.440253 0.0697292i −0.0141138 0.00223541i
974974 −10.7880 + 0.729892i −0.345669 + 0.0233872i
975975 0.422956 + 1.10992i 0.0135454 + 0.0355458i
976976 −15.3442 + 4.25026i −0.491155 + 0.136048i
977977 4.19255 26.4707i 0.134131 0.846873i −0.825251 0.564765i 0.808967π-0.808967\pi
0.959383 0.282107i 0.0910334π-0.0910334\pi
978978 −16.2431 + 9.70996i −0.519396 + 0.310490i
979979 −1.60495 + 4.93954i −0.0512945 + 0.157868i
980980 3.97861 2.04222i 0.127092 0.0652362i
981981 −9.95354 30.6339i −0.317792 0.978064i
982982 41.9055 + 36.5944i 1.33726 + 1.16777i
983983 −9.48402 4.83235i −0.302493 0.154128i 0.296155 0.955140i 0.404295π-0.404295\pi
−0.598649 + 0.801012i 0.704295π0.704295\pi
984984 −85.6181 38.8167i −2.72941 1.23743i
985985 0.792044 1.65536i 0.0252366 0.0527441i
986986 23.6896 19.7869i 0.754430 0.630144i
987987 6.66147 + 42.0589i 0.212037 + 1.33875i
988988 −0.128567 + 0.0386728i −0.00409026 + 0.00123035i
989989 −4.43001 6.09738i −0.140866 0.193885i
990990 68.0557 43.0243i 2.16295 1.36740i
991991 −22.9259 + 31.5548i −0.728266 + 1.00237i 0.270942 + 0.962596i 0.412665π0.412665\pi
−0.999209 + 0.0397771i 0.987335π0.987335\pi
992992 −4.24540 + 31.6202i −0.134792 + 1.00394i
993993 56.1285 + 56.1285i 1.78118 + 1.78118i
994994 −17.3532 + 6.96561i −0.550410 + 0.220936i
995995 −2.24061 2.92740i −0.0710321 0.0928049i
996996 4.90845 27.1204i 0.155530 0.859342i
997997 17.8211 + 34.9759i 0.564400 + 1.10770i 0.980157 + 0.198222i 0.0635168π0.0635168\pi
−0.415757 + 0.909476i 0.636483π0.636483\pi
998998 0.575718 6.41364i 0.0182240 0.203020i
999999 48.7816 1.54338
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 700.2.bj.a.323.43 yes 720
4.3 odd 2 inner 700.2.bj.a.323.39 720
25.12 odd 20 inner 700.2.bj.a.687.39 yes 720
100.87 even 20 inner 700.2.bj.a.687.43 yes 720
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
700.2.bj.a.323.39 720 4.3 odd 2 inner
700.2.bj.a.323.43 yes 720 1.1 even 1 trivial
700.2.bj.a.687.39 yes 720 25.12 odd 20 inner
700.2.bj.a.687.43 yes 720 100.87 even 20 inner