Properties

Label 357.2.bl.a.199.3
Level 357357
Weight 22
Character 357.199
Analytic conductor 2.8512.851
Analytic rank 00
Dimension 384384
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [357,2,Mod(10,357)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(357, base_ring=CyclotomicField(48))
 
chi = DirichletCharacter(H, H._module([0, 8, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("357.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 357=3717 357 = 3 \cdot 7 \cdot 17
Weight: k k == 2 2
Character orbit: [χ][\chi] == 357.bl (of order 4848, degree 1616, 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: 2.850659352162.85065935216
Analytic rank: 00
Dimension: 384384
Relative dimension: 2424 over Q(ζ48)\Q(\zeta_{48})
Twist minimal: yes
Sato-Tate group: SU(2)[C48]\mathrm{SU}(2)[C_{48}]

Embedding invariants

Embedding label 199.3
Character χ\chi == 357.199
Dual form 357.2.bl.a.61.3

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+(1.34749+1.75608i)q2+(0.997859+0.0654031i)q3+(0.7504632.80077i)q4+(2.289110.777050i)q5+(1.229751.84045i)q6+(2.05900+1.66148i)q7+(1.83962+0.761994i)q8+(0.9914450.130526i)q9+(1.72000+5.06695i)q10+(2.713595.50261i)q11+(0.932035+2.74569i)q12+(1.939191.93919i)q13+(0.1432185.85461i)q14+(2.23339+0.925101i)q15+(1.205200.695825i)q16+(2.428993.33167i)q17+(1.10675+1.91694i)q18+(1.02425+0.785935i)q19+(3.894235.82813i)q20+(1.945931.79259i)q21+(13.3196+2.64943i)q22+(0.08736961.33300i)q23+(1.885510.640046i)q24+(0.6694710.513703i)q25+(0.792340+6.01842i)q26+(0.980785+0.195090i)q27+(6.19862+4.51990i)q28+(0.9882254.96814i)q29+(1.384925.16859i)q30+(0.0580584+0.885800i)q31+(0.921878+7.00236i)q32+(3.06767+5.31335i)q33+(2.57765+8.75490i)q34+(3.42223+5.40327i)q35+(1.109622.67885i)q36+(6.73382+3.32075i)q37+(2.76034+0.739630i)q38+(1.80821+2.06187i)q39+(4.80320+0.314818i)q40+(0.3039421.52802i)q41+(0.525821+5.83271i)q42+(0.6383401.54109i)q43+(13.3751+11.7296i)q44+(2.168111.06919i)q45+(2.22314+1.94964i)q46+(5.59161+1.49827i)q47+(1.15711+0.773159i)q48+(1.478966.84198i)q49+1.86786iq50+(2.20589+3.48340i)q51+(6.886503.97592i)q52+(0.4467910.0588211i)q53+(0.9790041.98522i)q54+(10.487510.4875i)q55+(5.05381+1.48754i)q56+(1.073460.717263i)q57+(7.39286+8.42994i)q58+(4.875226.35351i)q59+(4.26707+5.56095i)q60+(5.240035.97511i)q61+(1.633771.09165i)q62+(1.82452+1.91602i)q63+(9.086429.08642i)q64+(2.932185.94587i)q65+(13.46441.77262i)q66+(11.9999+6.92817i)q67+(11.15414.30274i)q68+1.33586iq69+(4.8771613.2906i)q70+(6.514404.35279i)q71+(1.92334+0.515357i)q72+(0.6895390.604709i)q73+(14.9053+7.35047i)q74+(0.634440+0.556389i)q75+(1.432563.45850i)q76+(14.7298+6.82130i)q77+(1.184275.95371i)q78+(8.694320.569856i)q79+(2.218162.52932i)q80+(0.9659260.258819i)q81+(3.09289+1.52525i)q82+(5.6793313.7111i)q83+(6.480974.10481i)q84+(2.971369.51401i)q85+(1.84613+3.19759i)q86+(0.661177+5.02214i)q87+(0.79900312.1904i)q88+(2.81219+10.4953i)q89+(1.04391+5.24810i)q90+(0.770864+7.21472i)q91+(3.79900+0.755667i)q92+(0.1158680.880106i)q93+(10.1657+7.80044i)q94+(2.95534+1.00320i)q95+(0.4619287.04766i)q96+(8.601611.71097i)q97+(10.0222+11.8167i)q98+(3.408615.10134i)q99+O(q100)q+(-1.34749 + 1.75608i) q^{2} +(-0.997859 + 0.0654031i) q^{3} +(-0.750463 - 2.80077i) q^{4} +(2.28911 - 0.777050i) q^{5} +(1.22975 - 1.84045i) q^{6} +(-2.05900 + 1.66148i) q^{7} +(1.83962 + 0.761994i) q^{8} +(0.991445 - 0.130526i) q^{9} +(-1.72000 + 5.06695i) q^{10} +(-2.71359 - 5.50261i) q^{11} +(0.932035 + 2.74569i) q^{12} +(1.93919 - 1.93919i) q^{13} +(-0.143218 - 5.85461i) q^{14} +(-2.23339 + 0.925101i) q^{15} +(1.20520 - 0.695825i) q^{16} +(2.42899 - 3.33167i) q^{17} +(-1.10675 + 1.91694i) q^{18} +(1.02425 + 0.785935i) q^{19} +(-3.89423 - 5.82813i) q^{20} +(1.94593 - 1.79259i) q^{21} +(13.3196 + 2.64943i) q^{22} +(0.0873696 - 1.33300i) q^{23} +(-1.88551 - 0.640046i) q^{24} +(0.669471 - 0.513703i) q^{25} +(0.792340 + 6.01842i) q^{26} +(-0.980785 + 0.195090i) q^{27} +(6.19862 + 4.51990i) q^{28} +(0.988225 - 4.96814i) q^{29} +(1.38492 - 5.16859i) q^{30} +(0.0580584 + 0.885800i) q^{31} +(-0.921878 + 7.00236i) q^{32} +(3.06767 + 5.31335i) q^{33} +(2.57765 + 8.75490i) q^{34} +(-3.42223 + 5.40327i) q^{35} +(-1.10962 - 2.67885i) q^{36} +(6.73382 + 3.32075i) q^{37} +(-2.76034 + 0.739630i) q^{38} +(-1.80821 + 2.06187i) q^{39} +(4.80320 + 0.314818i) q^{40} +(-0.303942 - 1.52802i) q^{41} +(0.525821 + 5.83271i) q^{42} +(0.638340 - 1.54109i) q^{43} +(-13.3751 + 11.7296i) q^{44} +(2.16811 - 1.06919i) q^{45} +(2.22314 + 1.94964i) q^{46} +(5.59161 + 1.49827i) q^{47} +(-1.15711 + 0.773159i) q^{48} +(1.47896 - 6.84198i) q^{49} +1.86786i q^{50} +(-2.20589 + 3.48340i) q^{51} +(-6.88650 - 3.97592i) q^{52} +(-0.446791 - 0.0588211i) q^{53} +(0.979004 - 1.98522i) q^{54} +(-10.4875 - 10.4875i) q^{55} +(-5.05381 + 1.48754i) q^{56} +(-1.07346 - 0.717263i) q^{57} +(7.39286 + 8.42994i) q^{58} +(-4.87522 - 6.35351i) q^{59} +(4.26707 + 5.56095i) q^{60} +(-5.24003 - 5.97511i) q^{61} +(-1.63377 - 1.09165i) q^{62} +(-1.82452 + 1.91602i) q^{63} +(-9.08642 - 9.08642i) q^{64} +(2.93218 - 5.94587i) q^{65} +(-13.4644 - 1.77262i) q^{66} +(11.9999 + 6.92817i) q^{67} +(-11.1541 - 4.30274i) q^{68} +1.33586i q^{69} +(-4.87716 - 13.2906i) q^{70} +(6.51440 - 4.35279i) q^{71} +(1.92334 + 0.515357i) q^{72} +(-0.689539 - 0.604709i) q^{73} +(-14.9053 + 7.35047i) q^{74} +(-0.634440 + 0.556389i) q^{75} +(1.43256 - 3.45850i) q^{76} +(14.7298 + 6.82130i) q^{77} +(-1.18427 - 5.95371i) q^{78} +(-8.69432 - 0.569856i) q^{79} +(2.21816 - 2.52932i) q^{80} +(0.965926 - 0.258819i) q^{81} +(3.09289 + 1.52525i) q^{82} +(-5.67933 - 13.7111i) q^{83} +(-6.48097 - 4.10481i) q^{84} +(2.97136 - 9.51401i) q^{85} +(1.84613 + 3.19759i) q^{86} +(-0.661177 + 5.02214i) q^{87} +(-0.799003 - 12.1904i) q^{88} +(-2.81219 + 10.4953i) q^{89} +(-1.04391 + 5.24810i) q^{90} +(-0.770864 + 7.21472i) q^{91} +(-3.79900 + 0.755667i) q^{92} +(-0.115868 - 0.880106i) q^{93} +(-10.1657 + 7.80044i) q^{94} +(2.95534 + 1.00320i) q^{95} +(0.461928 - 7.04766i) q^{96} +(-8.60161 - 1.71097i) q^{97} +(10.0222 + 11.8167i) q^{98} +(-3.40861 - 5.10134i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 384q16q11+32q1464q2216q2548q2864q3064q3532q3748q4264q44+32q4664q49+80q5632q58288q61528q68+176q70++32q99+O(q100) 384 q - 16 q^{11} + 32 q^{14} - 64 q^{22} - 16 q^{25} - 48 q^{28} - 64 q^{30} - 64 q^{35} - 32 q^{37} - 48 q^{42} - 64 q^{44} + 32 q^{46} - 64 q^{49} + 80 q^{56} - 32 q^{58} - 288 q^{61} - 528 q^{68} + 176 q^{70}+ \cdots + 32 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/357Z)×\left(\mathbb{Z}/357\mathbb{Z}\right)^\times.

nn 5252 190190 239239
χ(n)\chi(n) e(16)e\left(\frac{1}{6}\right) e(1316)e\left(\frac{13}{16}\right) 11

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 −1.34749 + 1.75608i −0.952820 + 1.24174i 0.0174830 + 0.999847i 0.494435π0.494435\pi
−0.970303 + 0.241892i 0.922232π0.922232\pi
33 −0.997859 + 0.0654031i −0.576114 + 0.0377605i
44 −0.750463 2.80077i −0.375231 1.40038i
55 2.28911 0.777050i 1.02372 0.347507i 0.241430 0.970418i 0.422383π-0.422383\pi
0.782293 + 0.622911i 0.214050π0.214050\pi
66 1.22975 1.84045i 0.502044 0.751363i
77 −2.05900 + 1.66148i −0.778229 + 0.627981i
88 1.83962 + 0.761994i 0.650402 + 0.269406i
99 0.991445 0.130526i 0.330482 0.0435087i
1010 −1.72000 + 5.06695i −0.543911 + 1.60231i
1111 −2.71359 5.50261i −0.818178 1.65910i −0.750010 0.661426i 0.769952π-0.769952\pi
−0.0681672 0.997674i 0.521715π-0.521715\pi
1212 0.932035 + 2.74569i 0.269055 + 0.792611i
1313 1.93919 1.93919i 0.537834 0.537834i −0.385058 0.922892i 0.625819π-0.625819\pi
0.922892 + 0.385058i 0.125819π0.125819\pi
1414 −0.143218 5.85461i −0.0382765 1.56471i
1515 −2.23339 + 0.925101i −0.576659 + 0.238860i
1616 1.20520 0.695825i 0.301301 0.173956i
1717 2.42899 3.33167i 0.589117 0.808048i
1818 −1.10675 + 1.91694i −0.260863 + 0.451828i
1919 1.02425 + 0.785935i 0.234979 + 0.180306i 0.719539 0.694452i 0.244353π-0.244353\pi
−0.484559 + 0.874758i 0.661020π0.661020\pi
2020 −3.89423 5.82813i −0.870776 1.30321i
2121 1.94593 1.79259i 0.424636 0.391175i
2222 13.3196 + 2.64943i 2.83975 + 0.564861i
2323 0.0873696 1.33300i 0.0182178 0.277950i −0.979025 0.203741i 0.934690π-0.934690\pi
0.997243 0.0742094i 0.0236433π-0.0236433\pi
2424 −1.88551 0.640046i −0.384879 0.130649i
2525 0.669471 0.513703i 0.133894 0.102741i
2626 0.792340 + 6.01842i 0.155391 + 1.18031i
2727 −0.980785 + 0.195090i −0.188752 + 0.0375451i
2828 6.19862 + 4.51990i 1.17143 + 0.854180i
2929 0.988225 4.96814i 0.183509 0.922561i −0.773786 0.633447i 0.781639π-0.781639\pi
0.957295 0.289114i 0.0933606π-0.0933606\pi
3030 1.38492 5.16859i 0.252851 0.943651i
3131 0.0580584 + 0.885800i 0.0104276 + 0.159094i 0.999897 + 0.0143522i 0.00456860π0.00456860\pi
−0.989469 + 0.144742i 0.953765π0.953765\pi
3232 −0.921878 + 7.00236i −0.162967 + 1.23785i
3333 3.06767 + 5.31335i 0.534012 + 0.924936i
3434 2.57765 + 8.75490i 0.442063 + 1.50145i
3535 −3.42223 + 5.40327i −0.578463 + 0.913318i
3636 −1.10962 2.67885i −0.184936 0.446475i
3737 6.73382 + 3.32075i 1.10703 + 0.545928i 0.901525 0.432727i 0.142449π-0.142449\pi
0.205508 + 0.978655i 0.434115π0.434115\pi
3838 −2.76034 + 0.739630i −0.447786 + 0.119984i
3939 −1.80821 + 2.06187i −0.289545 + 0.330163i
4040 4.80320 + 0.314818i 0.759452 + 0.0497771i
4141 −0.303942 1.52802i −0.0474678 0.238637i 0.949766 0.312960i 0.101320π-0.101320\pi
−0.997234 + 0.0743229i 0.976320π0.976320\pi
4242 0.525821 + 5.83271i 0.0811359 + 0.900006i
4343 0.638340 1.54109i 0.0973460 0.235014i −0.867703 0.497083i 0.834405π-0.834405\pi
0.965049 + 0.262068i 0.0844046π0.0844046\pi
4444 −13.3751 + 11.7296i −2.01637 + 1.76831i
4545 2.16811 1.06919i 0.323202 0.159386i
4646 2.22314 + 1.94964i 0.327783 + 0.287458i
4747 5.59161 + 1.49827i 0.815620 + 0.218545i 0.642431 0.766344i 0.277926π-0.277926\pi
0.173189 + 0.984889i 0.444593π0.444593\pi
4848 −1.15711 + 0.773159i −0.167015 + 0.111596i
4949 1.47896 6.84198i 0.211280 0.977426i
5050 1.86786i 0.264155i
5151 −2.20589 + 3.48340i −0.308886 + 0.487773i
5252 −6.88650 3.97592i −0.954986 0.551361i
5353 −0.446791 0.0588211i −0.0613714 0.00807970i 0.0997779 0.995010i 0.468187π-0.468187\pi
−0.161149 + 0.986930i 0.551520π0.551520\pi
5454 0.979004 1.98522i 0.133226 0.270155i
5555 −10.4875 10.4875i −1.41414 1.41414i
5656 −5.05381 + 1.48754i −0.675343 + 0.198781i
5757 −1.07346 0.717263i −0.142183 0.0950039i
5858 7.39286 + 8.42994i 0.970730 + 1.10691i
5959 −4.87522 6.35351i −0.634700 0.827157i 0.359675 0.933078i 0.382888π-0.382888\pi
−0.994375 + 0.105921i 0.966221π0.966221\pi
6060 4.26707 + 5.56095i 0.550876 + 0.717916i
6161 −5.24003 5.97511i −0.670917 0.765034i 0.311800 0.950148i 0.399068π-0.399068\pi
−0.982717 + 0.185114i 0.940735π0.940735\pi
6262 −1.63377 1.09165i −0.207489 0.138640i
6363 −1.82452 + 1.91602i −0.229868 + 0.241396i
6464 −9.08642 9.08642i −1.13580 1.13580i
6565 2.93218 5.94587i 0.363692 0.737494i
6666 −13.4644 1.77262i −1.65735 0.218194i
6767 11.9999 + 6.92817i 1.46603 + 0.846411i 0.999279 0.0379788i 0.0120919π-0.0120919\pi
0.466749 + 0.884390i 0.345425π0.345425\pi
6868 −11.1541 4.30274i −1.35263 0.521784i
6969 1.33586i 0.160819i
7070 −4.87716 13.2906i −0.582932 1.58853i
7171 6.51440 4.35279i 0.773118 0.516581i −0.105320 0.994438i 0.533587π-0.533587\pi
0.878437 + 0.477858i 0.158587π0.158587\pi
7272 1.92334 + 0.515357i 0.226668 + 0.0607354i
7373 −0.689539 0.604709i −0.0807044 0.0707759i 0.618043 0.786144i 0.287926π-0.287926\pi
−0.698748 + 0.715368i 0.746259π0.746259\pi
7474 −14.9053 + 7.35047i −1.73270 + 0.854475i
7575 −0.634440 + 0.556389i −0.0732588 + 0.0642462i
7676 1.43256 3.45850i 0.164326 0.396717i
7777 14.7298 + 6.82130i 1.67861 + 0.777360i
7878 −1.18427 5.95371i −0.134092 0.674125i
7979 −8.69432 0.569856i −0.978187 0.0641138i −0.432085 0.901833i 0.642222π-0.642222\pi
−0.546102 + 0.837719i 0.683889π0.683889\pi
8080 2.21816 2.52932i 0.247998 0.282787i
8181 0.965926 0.258819i 0.107325 0.0287577i
8282 3.09289 + 1.52525i 0.341553 + 0.168435i
8383 −5.67933 13.7111i −0.623387 1.50499i −0.847702 0.530473i 0.822014π-0.822014\pi
0.224314 0.974517i 0.427986π-0.427986\pi
8484 −6.48097 4.10481i −0.707131 0.447871i
8585 2.97136 9.51401i 0.322290 1.03194i
8686 1.84613 + 3.19759i 0.199073 + 0.344805i
8787 −0.661177 + 5.02214i −0.0708856 + 0.538430i
8888 −0.799003 12.1904i −0.0851740 1.29950i
8989 −2.81219 + 10.4953i −0.298092 + 1.11249i 0.640639 + 0.767843i 0.278670π0.278670\pi
−0.938731 + 0.344652i 0.887997π0.887997\pi
9090 −1.04391 + 5.24810i −0.110038 + 0.553199i
9191 −0.770864 + 7.21472i −0.0808085 + 0.756308i
9292 −3.79900 + 0.755667i −0.396073 + 0.0787838i
9393 −0.115868 0.880106i −0.0120150 0.0912628i
9494 −10.1657 + 7.80044i −1.04851 + 0.804554i
9595 2.95534 + 1.00320i 0.303211 + 0.102926i
9696 0.461928 7.04766i 0.0471453 0.719299i
9797 −8.60161 1.71097i −0.873361 0.173722i −0.261994 0.965070i 0.584380π-0.584380\pi
−0.611367 + 0.791347i 0.709380π0.709380\pi
9898 10.0222 + 11.8167i 1.01240 + 1.19367i
9999 −3.40861 5.10134i −0.342578 0.512704i
100100 −1.94118 1.48952i −0.194118 0.148952i
101101 9.08141 15.7295i 0.903634 1.56514i 0.0808933 0.996723i 0.474223π-0.474223\pi
0.822741 0.568417i 0.192444π-0.192444\pi
102102 −3.14473 8.56757i −0.311374 0.848316i
103103 −14.4466 + 8.34076i −1.42347 + 0.821839i −0.996593 0.0824722i 0.973718π-0.973718\pi
−0.426874 + 0.904311i 0.640385π0.640385\pi
104104 5.04501 2.08971i 0.494704 0.204913i
105105 3.06151 5.61552i 0.298773 0.548019i
106106 0.705342 0.705342i 0.0685088 0.0685088i
107107 −5.01876 14.7848i −0.485182 1.42930i −0.863842 0.503764i 0.831948π-0.831948\pi
0.378660 0.925536i 0.376385π-0.376385\pi
108108 1.28245 + 2.60054i 0.123403 + 0.250237i
109109 3.02681 8.91668i 0.289915 0.854063i −0.700217 0.713930i 0.746914π-0.746914\pi
0.990133 0.140133i 0.0447531π-0.0447531\pi
110110 32.5488 4.28513i 3.10341 0.408571i
111111 −6.93659 2.87323i −0.658392 0.272715i
112112 −1.32541 + 3.43513i −0.125240 + 0.324589i
113113 −10.5293 + 15.7583i −0.990518 + 1.48241i −0.118491 + 0.992955i 0.537806π0.537806\pi
−0.872026 + 0.489459i 0.837194π0.837194\pi
114114 2.70605 0.918582i 0.253445 0.0860330i
115115 −0.835810 3.11929i −0.0779397 0.290875i
116116 −14.6562 + 0.960620i −1.36080 + 0.0891914i
117117 1.66948 2.17571i 0.154344 0.201145i
118118 17.7266 1.63187
119119 0.534213 + 10.8956i 0.0489712 + 0.998800i
120120 −4.81350 −0.439411
121121 −16.2188 + 21.1368i −1.47444 + 1.92152i
122122 17.5537 1.15053i 1.58924 0.104164i
123123 0.403229 + 1.50487i 0.0363579 + 0.135690i
124124 2.43735 0.827368i 0.218880 0.0742998i
125125 −5.58187 + 8.35386i −0.499258 + 0.747192i
126126 −0.906172 5.78583i −0.0807282 0.515443i
127127 17.9361 + 7.42939i 1.59157 + 0.659252i 0.990192 0.139710i 0.0446172π-0.0446172\pi
0.601382 + 0.798962i 0.294617π0.294617\pi
128128 14.1957 1.86890i 1.25473 0.165189i
129129 −0.536182 + 1.57954i −0.0472082 + 0.139071i
130130 6.49037 + 13.1612i 0.569243 + 1.15431i
131131 2.73766 + 8.06490i 0.239191 + 0.704633i 0.998543 + 0.0539540i 0.0171824π0.0171824\pi
−0.759353 + 0.650679i 0.774484π0.774484\pi
132132 12.5793 12.5793i 1.09489 1.09489i
133133 −3.41475 + 0.0835328i −0.296096 + 0.00724322i
134134 −28.3363 + 11.7373i −2.44788 + 1.01395i
135135 −2.09353 + 1.20870i −0.180183 + 0.104029i
136136 7.00712 4.27811i 0.600856 0.366845i
137137 0.365057 0.632298i 0.0311889 0.0540208i −0.850010 0.526767i 0.823404π-0.823404\pi
0.881199 + 0.472746i 0.156737π0.156737\pi
138138 −2.34589 1.80006i −0.199695 0.153232i
139139 −5.33575 7.98552i −0.452573 0.677323i 0.533088 0.846060i 0.321031π-0.321031\pi
−0.985661 + 0.168736i 0.946031π0.946031\pi
140140 17.7015 + 5.52992i 1.49605 + 0.467364i
141141 −5.67763 1.12935i −0.478142 0.0951084i
142142 −1.13424 + 17.3052i −0.0951835 + 1.45222i
143143 −15.9328 5.40844i −1.33236 0.452277i
144144 1.10407 0.847182i 0.0920058 0.0705985i
145145 −1.59833 12.1405i −0.132734 1.00822i
146146 1.99107 0.396048i 0.164782 0.0327772i
147147 −1.02831 + 6.92406i −0.0848133 + 0.571087i
148148 4.24717 21.3519i 0.349115 1.75512i
149149 −2.73968 + 10.2246i −0.224443 + 0.837633i 0.758184 + 0.652041i 0.226087π0.226087\pi
−0.982627 + 0.185592i 0.940580π0.940580\pi
150150 −0.122164 1.86386i −0.00997463 0.152183i
151151 1.87872 14.2703i 0.152888 1.16130i −0.727179 0.686448i 0.759169π-0.759169\pi
0.880067 0.474850i 0.157498π-0.157498\pi
152152 1.28535 + 2.22629i 0.104256 + 0.180576i
153153 1.97334 3.62021i 0.159535 0.292677i
154154 −31.8270 + 16.6751i −2.56469 + 1.34372i
155155 0.821213 + 1.98258i 0.0659614 + 0.159245i
156156 7.13180 + 3.51701i 0.571001 + 0.281586i
157157 −2.53682 + 0.679739i −0.202460 + 0.0542490i −0.358624 0.933482i 0.616754π-0.616754\pi
0.156164 + 0.987731i 0.450087π0.450087\pi
158158 12.7162 14.5001i 1.01165 1.15356i
159159 0.449681 + 0.0294737i 0.0356620 + 0.00233741i
160160 3.33090 + 16.7455i 0.263330 + 1.32385i
161161 2.03486 + 2.88982i 0.160370 + 0.227749i
162162 −0.847068 + 2.04500i −0.0665520 + 0.160671i
163163 −0.579611 + 0.508305i −0.0453986 + 0.0398135i −0.681745 0.731590i 0.738778π-0.738778\pi
0.636346 + 0.771404i 0.280445π0.280445\pi
164164 −4.05153 + 1.99799i −0.316371 + 0.156017i
165165 11.1510 + 9.77914i 0.868102 + 0.761305i
166166 31.7307 + 8.50222i 2.46278 + 0.659900i
167167 −7.64667 + 5.10934i −0.591717 + 0.395373i −0.815068 0.579365i 0.803300π-0.803300\pi
0.223351 + 0.974738i 0.428300π0.428300\pi
168168 4.94570 1.81489i 0.381569 0.140022i
169169 5.47909i 0.421469i
170170 12.7035 + 18.0380i 0.974316 + 1.38345i
171171 1.11807 + 0.645520i 0.0855012 + 0.0493642i
172172 −4.79528 0.631311i −0.365637 0.0481370i
173173 4.22030 8.55793i 0.320864 0.650647i −0.675358 0.737490i 0.736011π-0.736011\pi
0.996222 + 0.0868425i 0.0276777π0.0276777\pi
174174 −7.92837 7.92837i −0.601048 0.601048i
175175 −0.524933 + 2.17003i −0.0396812 + 0.164039i
176176 −7.09928 4.74359i −0.535128 0.357561i
177177 5.28032 + 6.02105i 0.396893 + 0.452570i
178178 −14.6411 19.0807i −1.09740 1.43016i
179179 14.3875 + 18.7502i 1.07537 + 1.40146i 0.909696 + 0.415276i 0.136315π0.136315\pi
0.165679 + 0.986180i 0.447018π0.447018\pi
180180 −4.62164 5.26997i −0.344476 0.392800i
181181 5.57542 + 3.72538i 0.414418 + 0.276905i 0.745251 0.666784i 0.232330π-0.232330\pi
−0.330833 + 0.943689i 0.607330π0.607330\pi
182182 −11.6309 11.0755i −0.862141 0.820968i
183183 5.61960 + 5.61960i 0.415413 + 0.415413i
184184 1.17647 2.38564i 0.0867303 0.175872i
185185 17.9949 + 2.36907i 1.32301 + 0.174177i
186186 1.70167 + 0.982461i 0.124773 + 0.0720375i
187187 −24.9242 4.32502i −1.82263 0.316277i
188188 16.7852i 1.22418i
189189 1.69530 2.03125i 0.123315 0.147751i
190190 −5.74400 + 3.83802i −0.416714 + 0.278439i
191191 11.8532 + 3.17607i 0.857671 + 0.229812i 0.660749 0.750607i 0.270239π-0.270239\pi
0.196922 + 0.980419i 0.436905π0.436905\pi
192192 9.66125 + 8.47269i 0.697241 + 0.611464i
193193 13.9900 6.89910i 1.00702 0.496608i 0.137499 0.990502i 0.456094π-0.456094\pi
0.869522 + 0.493894i 0.164427π0.164427\pi
194194 14.5952 12.7996i 1.04787 0.918960i
195195 −2.53702 + 6.12491i −0.181680 + 0.438614i
196196 −20.2727 + 0.992429i −1.44805 + 0.0708878i
197197 1.04189 + 5.23793i 0.0742316 + 0.373187i 0.999988 0.00493346i 0.00157037π-0.00157037\pi
−0.925756 + 0.378121i 0.876570π0.876570\pi
198198 13.5515 + 0.888210i 0.963060 + 0.0631223i
199199 12.0511 13.7416i 0.854277 0.974117i −0.145607 0.989343i 0.546513π-0.546513\pi
0.999884 + 0.0152258i 0.00484671π0.00484671\pi
200200 1.62301 0.434884i 0.114764 0.0307509i
201201 −12.4274 6.12851i −0.876560 0.432271i
202202 15.3851 + 37.1430i 1.08250 + 2.61337i
203203 6.21972 + 11.8713i 0.436539 + 0.833204i
204204 11.4116 + 3.56401i 0.798973 + 0.249531i
205205 −1.88311 3.26164i −0.131522 0.227802i
206206 4.81961 36.6086i 0.335798 2.55064i
207207 −0.0873696 1.33300i −0.00607261 0.0926501i
208208 0.987782 3.68645i 0.0684903 0.255609i
209209 1.54530 7.76876i 0.106891 0.537376i
210210 5.73597 + 12.9431i 0.395819 + 0.893162i
211211 4.67480 0.929876i 0.321827 0.0640153i −0.0315333 0.999503i 0.510039π-0.510039\pi
0.353360 + 0.935487i 0.385039π0.385039\pi
212212 0.170556 + 1.29550i 0.0117138 + 0.0889753i
213213 −6.21577 + 4.76953i −0.425898 + 0.326803i
214214 32.7261 + 11.1090i 2.23711 + 0.759396i
215215 0.263731 4.02375i 0.0179863 0.274418i
216216 −1.95293 0.388461i −0.132880 0.0264314i
217217 −1.59128 1.72740i −0.108023 0.117263i
218218 11.5799 + 17.3305i 0.784287 + 1.17377i
219219 0.727612 + 0.558317i 0.0491675 + 0.0377275i
220220 −21.5026 + 37.2436i −1.44970 + 2.51096i
221221 −1.75046 11.1710i −0.117749 0.751443i
222222 14.3926 8.30958i 0.965969 0.557703i
223223 12.7830 5.29489i 0.856013 0.354572i 0.0888659 0.996044i 0.471676π-0.471676\pi
0.767147 + 0.641472i 0.221676π0.221676\pi
224224 −9.73614 15.9495i −0.650523 1.06567i
225225 0.596692 0.596692i 0.0397795 0.0397795i
226226 −13.4847 39.7246i −0.896987 2.64244i
227227 6.38390 + 12.9453i 0.423714 + 0.859207i 0.999144 + 0.0413566i 0.0131680π0.0131680\pi
−0.575430 + 0.817851i 0.695165π0.695165\pi
228228 −1.20329 + 3.54479i −0.0796901 + 0.234760i
229229 9.43192 1.24174i 0.623279 0.0820562i 0.187729 0.982221i 0.439887π-0.439887\pi
0.435550 + 0.900165i 0.356554π0.356554\pi
230230 6.60398 + 2.73546i 0.435453 + 0.180371i
231231 −15.1444 5.84332i −0.996426 0.384463i
232232 5.60365 8.38646i 0.367898 0.550598i
233233 9.95588 3.37956i 0.652231 0.221403i 0.0243399 0.999704i 0.492252π-0.492252\pi
0.627891 + 0.778301i 0.283918π0.283918\pi
234234 1.57112 + 5.86351i 0.102708 + 0.383310i
235235 13.9641 0.915253i 0.910915 0.0597045i
236236 −14.1360 + 18.4224i −0.920177 + 1.19920i
237237 8.71297 0.565968
238238 −19.8535 13.7436i −1.28691 0.890867i
239239 −2.10674 −0.136274 −0.0681368 0.997676i 0.521705π-0.521705\pi
−0.0681368 + 0.997676i 0.521705π0.521705\pi
240240 −2.04798 + 2.66898i −0.132197 + 0.172282i
241241 −0.290056 + 0.0190113i −0.0186842 + 0.00122463i −0.0747423 0.997203i 0.523813π-0.523813\pi
0.0560582 + 0.998428i 0.482147π0.482147\pi
242242 −15.2632 56.9632i −0.981158 3.66173i
243243 −0.946930 + 0.321439i −0.0607456 + 0.0206204i
244244 −12.8024 + 19.1602i −0.819591 + 1.22661i
245245 −1.93105 16.8113i −0.123370 1.07403i
246246 −3.18603 1.31970i −0.203134 0.0841407i
247247 3.51029 0.462139i 0.223355 0.0294052i
248248 −0.568169 + 1.67377i −0.0360788 + 0.106285i
249249 6.56392 + 13.3103i 0.415971 + 0.843507i
250250 −7.14856 21.0590i −0.452115 1.33189i
251251 −21.0814 + 21.0814i −1.33065 + 1.33065i −0.425856 + 0.904791i 0.640027π0.640027\pi
−0.904791 + 0.425856i 0.859973π0.859973\pi
252252 6.73556 + 3.67215i 0.424300 + 0.231323i
253253 −7.57208 + 3.13646i −0.476053 + 0.197187i
254254 −37.2154 + 21.4863i −2.33510 + 1.34817i
255255 −2.34276 + 9.68798i −0.146709 + 0.606685i
256256 −2.99648 + 5.19005i −0.187280 + 0.324378i
257257 −18.4343 14.1452i −1.14990 0.882351i −0.155482 0.987839i 0.549693π-0.549693\pi
−0.994421 + 0.105488i 0.966360π0.966360\pi
258258 −2.05131 3.07000i −0.127709 0.191130i
259259 −19.3823 + 4.35068i −1.20436 + 0.270338i
260260 −18.8535 3.75019i −1.16924 0.232577i
261261 0.331298 5.05463i 0.0205068 0.312874i
262262 −17.8516 6.05981i −1.10288 0.374376i
263263 −18.3596 + 14.0878i −1.13210 + 0.868690i −0.992588 0.121531i 0.961220π-0.961220\pi
−0.139511 + 0.990221i 0.544553π0.544553\pi
264264 1.59458 + 12.1121i 0.0981399 + 0.745447i
265265 −1.06846 + 0.212530i −0.0656351 + 0.0130556i
266266 4.45465 6.10915i 0.273132 0.374576i
267267 2.11975 10.6567i 0.129727 0.652180i
268268 10.3987 38.8084i 0.635200 2.37060i
269269 1.01239 + 15.4461i 0.0617266 + 0.941766i 0.910631 + 0.413220i 0.135596π0.135596\pi
−0.848905 + 0.528546i 0.822737π0.822737\pi
270270 0.698435 5.30514i 0.0425054 0.322861i
271271 9.91021 + 17.1650i 0.602003 + 1.04270i 0.992517 + 0.122102i 0.0389637π0.0389637\pi
−0.390515 + 0.920597i 0.627703π0.627703\pi
272272 0.609171 5.70549i 0.0369364 0.345946i
273273 0.297348 7.24968i 0.0179963 0.438771i
274274 0.618457 + 1.49309i 0.0373624 + 0.0902007i
275275 −4.64338 2.28986i −0.280006 0.138084i
276276 3.74144 1.00252i 0.225208 0.0603443i
277277 −20.6904 + 23.5929i −1.24317 + 1.41756i −0.370796 + 0.928714i 0.620915π0.620915\pi
−0.872370 + 0.488846i 0.837418π0.837418\pi
278278 21.2131 + 1.39038i 1.27228 + 0.0833896i
279279 0.173182 + 0.870644i 0.0103681 + 0.0521241i
280280 −10.4128 + 7.33221i −0.622287 + 0.438184i
281281 0.200758 0.484673i 0.0119762 0.0289131i −0.917778 0.397093i 0.870019π-0.870019\pi
0.929755 + 0.368180i 0.120019π0.120019\pi
282282 9.63379 8.44860i 0.573684 0.503107i
283283 14.1320 6.96914i 0.840062 0.414273i 0.0292447 0.999572i 0.490690π-0.490690\pi
0.810817 + 0.585300i 0.199023π0.199023\pi
284284 −17.0800 14.9787i −1.01351 0.888823i
285285 −3.01462 0.807766i −0.178571 0.0478479i
286286 30.9669 20.6915i 1.83111 1.22351i
287287 3.16459 + 2.64120i 0.186800 + 0.155905i
288288 7.06278i 0.416178i
289289 −5.20001 16.1852i −0.305883 0.952069i
290290 23.4736 + 13.5525i 1.37842 + 0.795829i
291291 8.69509 + 1.14473i 0.509715 + 0.0671053i
292292 −1.17618 + 2.38505i −0.0688305 + 0.139574i
293293 7.59491 + 7.59491i 0.443699 + 0.443699i 0.893253 0.449554i 0.148417π-0.148417\pi
−0.449554 + 0.893253i 0.648417π0.648417\pi
294294 −10.7736 11.1359i −0.628329 0.649459i
295295 −16.0969 10.7556i −0.937200 0.626217i
296296 9.85724 + 11.2400i 0.572941 + 0.653314i
297297 3.73495 + 4.86749i 0.216724 + 0.282440i
298298 −14.2636 18.5887i −0.826268 1.07681i
299299 −2.41552 2.75437i −0.139693 0.159289i
300300 2.03444 + 1.35937i 0.117458 + 0.0784832i
301301 1.24615 + 4.23370i 0.0718269 + 0.244026i
302302 22.5282 + 22.5282i 1.29636 + 1.29636i
303303 −8.03321 + 16.2897i −0.461496 + 0.935821i
304304 1.78130 + 0.234513i 0.102165 + 0.0134502i
305305 −16.6380 9.60594i −0.952688 0.550035i
306306 3.69834 + 8.34355i 0.211420 + 0.476969i
307307 7.74112i 0.441809i 0.975295 + 0.220905i 0.0709009π0.0709009\pi
−0.975295 + 0.220905i 0.929099π0.929099\pi
308308 8.05073 46.3738i 0.458733 2.64239i
309309 13.8702 9.26775i 0.789046 0.527224i
310310 −4.58816 1.22939i −0.260590 0.0698249i
311311 −4.25998 3.73590i −0.241561 0.211843i 0.530002 0.847997i 0.322191π-0.322191\pi
−0.771563 + 0.636153i 0.780525π0.780525\pi
312312 −4.89754 + 2.41520i −0.277268 + 0.136734i
313313 −2.39176 + 2.09752i −0.135190 + 0.118559i −0.724271 0.689516i 0.757823π-0.757823\pi
0.589080 + 0.808074i 0.299490π0.299490\pi
314314 2.22466 5.37081i 0.125545 0.303092i
315315 −2.68769 + 5.80373i −0.151434 + 0.327003i
316316 4.92873 + 24.7784i 0.277263 + 1.39389i
317317 3.05688 + 0.200358i 0.171691 + 0.0112533i 0.151006 0.988533i 0.451749π-0.451749\pi
0.0206851 + 0.999786i 0.493415π0.493415\pi
318318 −0.657700 + 0.749963i −0.0368820 + 0.0420558i
319319 −30.0194 + 8.04368i −1.68076 + 0.450359i
320320 −27.8605 13.7393i −1.55745 0.768048i
321321 5.97499 + 14.4249i 0.333491 + 0.805119i
322322 −7.81672 0.320606i −0.435609 0.0178666i
323323 5.10637 1.50343i 0.284126 0.0836533i
324324 −1.44978 2.51110i −0.0805435 0.139505i
325325 0.302063 2.29440i 0.0167555 0.127270i
326326 −0.111606 1.70278i −0.00618130 0.0943083i
327327 −2.43715 + 9.09555i −0.134774 + 0.502985i
328328 0.605205 3.04257i 0.0334169 0.167998i
329329 −14.0025 + 6.20542i −0.771981 + 0.342116i
330330 −32.1988 + 6.40475i −1.77249 + 0.352570i
331331 1.82591 + 13.8692i 0.100361 + 0.762320i 0.965429 + 0.260665i 0.0839419π0.0839419\pi
−0.865068 + 0.501655i 0.832725π0.832725\pi
332332 −34.1395 + 26.1962i −1.87365 + 1.43770i
333333 7.10965 + 2.41340i 0.389607 + 0.132254i
334334 1.33138 20.3130i 0.0728501 1.11148i
335335 32.8528 + 6.53483i 1.79494 + 0.357036i
336336 1.09791 3.51446i 0.0598958 0.191729i
337337 8.72820 + 13.0627i 0.475455 + 0.711569i 0.989232 0.146355i 0.0467541π-0.0467541\pi
−0.513777 + 0.857924i 0.671754π0.671754\pi
338338 −9.62175 7.38303i −0.523354 0.401584i
339339 9.47616 16.4132i 0.514674 0.891442i
340340 −28.8764 1.18218i −1.56604 0.0641129i
341341 4.71667 2.72317i 0.255422 0.147468i
342342 −2.64018 + 1.09360i −0.142765 + 0.0591351i
343343 8.32264 + 16.5449i 0.449380 + 0.893341i
344344 2.34860 2.34860i 0.126628 0.126628i
345345 1.03803 + 3.05794i 0.0558857 + 0.164634i
346346 9.34163 + 18.9429i 0.502209 + 1.01838i
347347 2.34337 6.90334i 0.125799 0.370591i −0.865725 0.500521i 0.833142π-0.833142\pi
0.991523 + 0.129930i 0.0414753π0.0414753\pi
348348 14.5620 1.91713i 0.780607 0.102769i
349349 5.71825 + 2.36858i 0.306091 + 0.126787i 0.530442 0.847721i 0.322026π-0.322026\pi
−0.224351 + 0.974508i 0.572026π0.572026\pi
350350 −3.10341 3.84592i −0.165884 0.205573i
351351 −1.52361 + 2.28024i −0.0813243 + 0.121710i
352352 41.0329 13.9288i 2.18706 0.742406i
353353 −6.07275 22.6638i −0.323220 1.20627i −0.916089 0.400974i 0.868672π-0.868672\pi
0.592870 0.805299i 0.297995π-0.297995\pi
354354 −17.6887 + 1.15938i −0.940142 + 0.0616202i
355355 11.5299 15.0260i 0.611943 0.797499i
356356 31.5052 1.66977
357357 −1.24568 10.8374i −0.0659282 0.573574i
358358 −52.3140 −2.76488
359359 −6.07780 + 7.92075i −0.320774 + 0.418041i −0.925711 0.378233i 0.876532π-0.876532\pi
0.604936 + 0.796274i 0.293199π0.293199\pi
360360 4.80320 0.314818i 0.253151 0.0165924i
361361 −4.48617 16.7426i −0.236114 0.881189i
362362 −14.0549 + 4.77100i −0.738709 + 0.250758i
363363 14.8017 22.1523i 0.776886 1.16269i
364364 20.7852 3.25537i 1.08944 0.170628i
365365 −2.04832 0.848443i −0.107214 0.0444095i
366366 −17.4409 + 2.29613i −0.911648 + 0.120021i
367367 2.48091 7.30853i 0.129502 0.381502i −0.862767 0.505601i 0.831271π-0.831271\pi
0.992270 + 0.124099i 0.0396041π0.0396041\pi
368368 −0.822238 1.66733i −0.0428621 0.0869158i
369369 −0.500789 1.47528i −0.0260700 0.0767998i
370370 −28.4082 + 28.4082i −1.47687 + 1.47687i
371371 1.01767 0.621222i 0.0528349 0.0322522i
372372 −2.37802 + 0.985007i −0.123294 + 0.0510702i
373373 1.15826 0.668724i 0.0599726 0.0346252i −0.469714 0.882819i 0.655643π-0.655643\pi
0.529686 + 0.848194i 0.322310π0.322310\pi
374374 41.1802 37.9410i 2.12938 1.96188i
375375 5.02355 8.70104i 0.259415 0.449320i
376376 9.14474 + 7.01701i 0.471604 + 0.361874i
377377 −7.71781 11.5505i −0.397488 0.594882i
378378 1.28264 + 5.71417i 0.0659721 + 0.293905i
379379 14.9861 + 2.98092i 0.769783 + 0.153119i 0.564332 0.825548i 0.309134π-0.309134\pi
0.205451 + 0.978667i 0.434134π0.434134\pi
380380 0.591862 9.03008i 0.0303619 0.463233i
381381 −18.3836 6.24040i −0.941822 0.319705i
382382 −21.5496 + 16.5356i −1.10257 + 0.846034i
383383 3.53986 + 26.8879i 0.180879 + 1.37391i 0.805322 + 0.592838i 0.201993π0.201993\pi
−0.624443 + 0.781070i 0.714674π0.714674\pi
384384 −14.0431 + 2.79334i −0.716632 + 0.142547i
385385 39.0186 + 4.16898i 1.98857 + 0.212471i
386386 −6.73598 + 33.8641i −0.342853 + 1.72364i
387387 0.431727 1.61123i 0.0219459 0.0819032i
388388 1.66317 + 25.3751i 0.0844348 + 1.28823i
389389 −4.55235 + 34.5786i −0.230813 + 1.75320i 0.347770 + 0.937580i 0.386939π0.386939\pi
−0.578584 + 0.815623i 0.696394π0.696394\pi
390390 −7.33725 12.7085i −0.371536 0.643520i
391391 −4.22890 3.52894i −0.213865 0.178466i
392392 7.93427 11.4597i 0.400741 0.578800i
393393 −3.25927 7.86858i −0.164408 0.396917i
394394 −10.6022 5.22842i −0.534131 0.263404i
395395 −20.3451 + 5.45145i −1.02367 + 0.274292i
396396 −11.7296 + 13.3751i −0.589436 + 0.672123i
397397 3.83924 + 0.251637i 0.192686 + 0.0126293i 0.161441 0.986882i 0.448386π-0.448386\pi
0.0312454 + 0.999512i 0.490053π0.490053\pi
398398 7.89272 + 39.6794i 0.395626 + 1.98895i
399399 3.40197 0.306689i 0.170312 0.0153537i
400400 0.449401 1.08495i 0.0224701 0.0542476i
401401 20.2175 17.7303i 1.00961 0.885406i 0.0161850 0.999869i 0.494848π-0.494848\pi
0.993428 + 0.114463i 0.0365146π0.0365146\pi
402402 27.5080 13.5654i 1.37197 0.676582i
403403 1.83032 + 1.60515i 0.0911747 + 0.0799581i
404404 −50.8698 13.6305i −2.53087 0.678144i
405405 2.01000 1.34304i 0.0998777 0.0667361i
406406 −29.2281 5.07415i −1.45056 0.251826i
407407 46.0647i 2.28334i
408408 −6.71231 + 4.72724i −0.332309 + 0.234033i
409409 11.9304 + 6.88802i 0.589921 + 0.340591i 0.765066 0.643952i 0.222706π-0.222706\pi
−0.175145 + 0.984543i 0.556040π0.556040\pi
410410 8.26518 + 1.08813i 0.408188 + 0.0537390i
411411 −0.322921 + 0.654820i −0.0159285 + 0.0322999i
412412 34.2021 + 34.2021i 1.68502 + 1.68502i
413413 20.5943 + 4.98179i 1.01338 + 0.245138i
414414 2.45860 + 1.64278i 0.120833 + 0.0807383i
415415 −23.6548 26.9732i −1.16117 1.32406i
416416 11.7912 + 15.3666i 0.578111 + 0.753409i
417417 5.84661 + 7.61945i 0.286310 + 0.373126i
418418 11.5603 + 13.1820i 0.565434 + 0.644754i
419419 −23.7931 15.8981i −1.16237 0.776671i −0.183877 0.982949i 0.558865π-0.558865\pi
−0.978493 + 0.206278i 0.933865π0.933865\pi
420420 −18.0253 4.36035i −0.879545 0.212763i
421421 −3.32865 3.32865i −0.162229 0.162229i 0.621325 0.783553i 0.286595π-0.286595\pi
−0.783553 + 0.621325i 0.786595π0.786595\pi
422422 −4.66632 + 9.46235i −0.227153 + 0.460620i
423423 5.73933 + 0.755598i 0.279056 + 0.0367384i
424424 −0.777102 0.448660i −0.0377394 0.0217889i
425425 −0.0853497 3.47823i −0.00414007 0.168719i
426426 17.3423i 0.840238i
427427 20.7167 + 3.59654i 1.00255 + 0.174049i
428428 −37.6423 + 25.1518i −1.81951 + 1.21576i
429429 16.2524 + 4.35481i 0.784672 + 0.210252i
430430 6.71068 + 5.88511i 0.323618 + 0.283805i
431431 30.4928 15.0374i 1.46879 0.724326i 0.480509 0.876990i 0.340452π-0.340452\pi
0.988278 + 0.152664i 0.0487851π0.0487851\pi
432432 −1.04630 + 0.917578i −0.0503400 + 0.0441470i
433433 −11.6445 + 28.1122i −0.559597 + 1.35099i 0.350489 + 0.936567i 0.386015π0.386015\pi
−0.910086 + 0.414419i 0.863985π0.863985\pi
434434 5.17770 0.466771i 0.248537 0.0224057i
435435 2.38894 + 12.0100i 0.114541 + 0.575836i
436436 −27.2450 1.78573i −1.30480 0.0855212i
437437 1.13714 1.29666i 0.0543969 0.0620278i
438438 −1.96090 + 0.525422i −0.0936956 + 0.0251056i
439439 −7.79388 3.84352i −0.371982 0.183441i 0.246683 0.969096i 0.420659π-0.420659\pi
−0.618665 + 0.785655i 0.712326π0.712326\pi
440440 −11.3016 27.2844i −0.538782 1.30073i
441441 0.573250 6.97649i 0.0272976 0.332214i
442442 21.9760 + 11.9789i 1.04529 + 0.569777i
443443 12.1961 + 21.1242i 0.579453 + 1.00364i 0.995542 + 0.0943176i 0.0300669π0.0300669\pi
−0.416090 + 0.909324i 0.636600π0.636600\pi
444444 −2.84159 + 21.5840i −0.134856 + 1.02433i
445445 1.71790 + 26.2100i 0.0814361 + 1.24248i
446446 −7.92670 + 29.5828i −0.375340 + 1.40079i
447447 2.06509 10.3819i 0.0976754 0.491047i
448448 33.8059 + 3.61202i 1.59718 + 0.170652i
449449 29.4309 5.85416i 1.38893 0.276275i 0.556703 0.830712i 0.312066π-0.312066\pi
0.832226 + 0.554437i 0.187066π0.187066\pi
450450 0.243804 + 1.85188i 0.0114931 + 0.0872984i
451451 −7.58333 + 5.81889i −0.357085 + 0.274001i
452452 52.0371 + 17.6642i 2.44762 + 0.830855i
453453 −0.941374 + 14.3626i −0.0442296 + 0.674813i
454454 −31.3352 6.23296i −1.47064 0.292528i
455455 3.84160 + 17.1143i 0.180097 + 0.802331i
456456 −1.42820 2.13746i −0.0668818 0.100096i
457457 1.60686 + 1.23299i 0.0751660 + 0.0576769i 0.645661 0.763624i 0.276582π-0.276582\pi
−0.570495 + 0.821301i 0.693249π0.693249\pi
458458 −10.5288 + 18.2365i −0.491980 + 0.852134i
459459 −1.73234 + 3.74152i −0.0808588 + 0.174639i
460460 −8.10914 + 4.68182i −0.378091 + 0.218291i
461461 10.8365 4.48864i 0.504708 0.209057i −0.115777 0.993275i 0.536936π-0.536936\pi
0.620485 + 0.784218i 0.286936π0.286936\pi
462462 30.6683 18.7210i 1.42682 0.870978i
463463 8.73024 8.73024i 0.405729 0.405729i −0.474517 0.880246i 0.657377π-0.657377\pi
0.880246 + 0.474517i 0.157377π0.157377\pi
464464 −2.26594 6.67526i −0.105194 0.309891i
465465 −0.949122 1.92463i −0.0440145 0.0892525i
466466 −7.48065 + 22.0373i −0.346535 + 1.02086i
467467 7.65589 1.00792i 0.354272 0.0466408i 0.0487100 0.998813i 0.484489π-0.484489\pi
0.305562 + 0.952172i 0.401156π0.401156\pi
468468 −7.34655 3.04304i −0.339594 0.140665i
469469 −36.2189 + 5.67258i −1.67243 + 0.261935i
470470 −17.2092 + 25.7554i −0.793800 + 1.18801i
471471 2.48693 0.844199i 0.114592 0.0388986i
472472 −4.12720 15.4029i −0.189970 0.708977i
473473 −10.2122 + 0.669344i −0.469558 + 0.0307765i
474474 −11.7407 + 15.3007i −0.539266 + 0.702785i
475475 1.08944 0.0499871
476476 30.1152 9.67297i 1.38033 0.443360i
477477 −0.450646 −0.0206337
478478 2.83881 3.69961i 0.129844 0.169216i
479479 −32.9824 + 2.16178i −1.50700 + 0.0987743i −0.796380 0.604797i 0.793254π-0.793254\pi
−0.710625 + 0.703571i 0.751588π0.751588\pi
480480 −4.41898 16.4918i −0.201698 0.752746i
481481 19.4977 6.61858i 0.889019 0.301781i
482482 0.357463 0.534981i 0.0162820 0.0243677i
483483 −2.21951 2.75054i −0.100991 0.125154i
484484 71.3707 + 29.5627i 3.24412 + 1.34376i
485485 −21.0196 + 2.76728i −0.954449 + 0.125656i
486486 0.711505 2.09603i 0.0322745 0.0950777i
487487 −11.8349 23.9989i −0.536292 1.08749i −0.981393 0.192012i 0.938499π-0.938499\pi
0.445101 0.895480i 0.353168π-0.353168\pi
488488 −5.08664 14.9848i −0.230262 0.678329i
489489 0.545125 0.545125i 0.0246514 0.0246514i
490490 32.1241 + 19.2620i 1.45122 + 0.870168i
491491 5.39335 2.23400i 0.243398 0.100819i −0.257650 0.966238i 0.582948π-0.582948\pi
0.501048 + 0.865419i 0.332948π0.332948\pi
492492 3.91218 2.25870i 0.176375 0.101830i
493493 −14.1518 15.3600i −0.637366 0.691780i
494494 −3.91853 + 6.78710i −0.176303 + 0.305366i
495495 −11.7667 9.02890i −0.528873 0.405819i
496496 0.686333 + 1.02717i 0.0308173 + 0.0461213i
497497 −6.18109 + 19.7859i −0.277260 + 0.887521i
498498 −32.2189 6.40873i −1.44376 0.287182i
499499 1.95569 29.8381i 0.0875488 1.33574i −0.697626 0.716462i 0.745760π-0.745760\pi
0.785175 0.619274i 0.212573π-0.212573\pi
500500 27.5862 + 9.36425i 1.23369 + 0.418782i
501501 7.29613 5.59852i 0.325967 0.250123i
502502 −8.61373 65.4278i −0.384450 2.92018i
503503 −32.4711 + 6.45891i −1.44782 + 0.287988i −0.855536 0.517744i 0.826772π-0.826772\pi
−0.592280 + 0.805732i 0.701772π0.701772\pi
504504 −4.81641 + 2.13447i −0.214540 + 0.0950769i
505505 8.56581 43.0632i 0.381174 1.91629i
506506 4.69543 17.5236i 0.208737 0.779018i
507507 −0.358350 5.46736i −0.0159149 0.242814i
508508 7.34757 55.8104i 0.325996 2.47618i
509509 4.81235 + 8.33523i 0.213304 + 0.369453i 0.952746 0.303767i 0.0982443π-0.0982443\pi
−0.739443 + 0.673219i 0.764911π0.764911\pi
510510 −13.8561 17.1685i −0.613557 0.760236i
511511 2.42447 + 0.0994406i 0.107252 + 0.00439899i
512512 5.88222 + 14.2009i 0.259960 + 0.627598i
513513 −1.15790 0.571012i −0.0511225 0.0252108i
514514 49.6802 13.3118i 2.19130 0.587157i
515515 −26.5888 + 30.3187i −1.17164 + 1.33600i
516516 4.82631 + 0.316333i 0.212466 + 0.0139258i
517517 −6.92894 34.8341i −0.304734 1.53200i
518518 18.4773 39.8995i 0.811846 1.75308i
519519 −3.65155 + 8.81563i −0.160285 + 0.386963i
520520 9.92480 8.70382i 0.435231 0.381688i
521521 19.1018 9.41999i 0.836867 0.412697i 0.0272308 0.999629i 0.491331π-0.491331\pi
0.809636 + 0.586932i 0.199664π0.199664\pi
522522 8.42994 + 7.39286i 0.368968 + 0.323577i
523523 23.6469 + 6.33616i 1.03401 + 0.277061i 0.735627 0.677387i 0.236888π-0.236888\pi
0.298378 + 0.954448i 0.403554π0.403554\pi
524524 20.5334 13.7200i 0.897004 0.599359i
525525 0.381882 2.19971i 0.0166667 0.0960034i
526526 51.2241i 2.23348i
527527 3.09221 + 1.95817i 0.134699 + 0.0852991i
528528 7.39432 + 4.26911i 0.321797 + 0.185789i
529529 21.0340 + 2.76917i 0.914520 + 0.120399i
530530 1.06652 2.16269i 0.0463268 0.0939414i
531531 −5.66281 5.66281i −0.245745 0.245745i
532532 2.79660 + 9.50122i 0.121248 + 0.411930i
533533 −3.55252 2.37372i −0.153877 0.102817i
534534 15.8577 + 18.0823i 0.686231 + 0.782497i
535535 −22.9770 29.9442i −0.993383 1.29460i
536536 16.7961 + 21.8891i 0.725480 + 0.945464i
537537 −15.5830 17.7691i −0.672458 0.766792i
538538 −28.4889 19.0357i −1.22824 0.820685i
539539 −41.6620 + 10.4282i −1.79451 + 0.449173i
540540 4.95641 + 4.95641i 0.213290 + 0.213290i
541541 −1.91355 + 3.88029i −0.0822699 + 0.166827i −0.934120 0.356958i 0.883814π-0.883814\pi
0.851850 + 0.523785i 0.175481π0.175481\pi
542542 −43.4971 5.72650i −1.86836 0.245974i
543543 −5.80713 3.35275i −0.249208 0.143880i
544544 21.0903 + 20.0801i 0.904239 + 0.860925i
545545 22.7633i 0.975072i
546546 12.3304 + 10.2911i 0.527692 + 0.440416i
547547 8.16676 5.45685i 0.349185 0.233318i −0.368591 0.929591i 0.620160π-0.620160\pi
0.717777 + 0.696273i 0.245160π0.245160\pi
548548 −2.04488 0.547924i −0.0873529 0.0234061i
549549 −5.97511 5.24003i −0.255011 0.223639i
550550 10.2781 5.06860i 0.438260 0.216126i
551551 4.91683 4.31195i 0.209464 0.183695i
552552 −1.01792 + 2.45747i −0.0433255 + 0.104597i
553553 18.8484 13.2721i 0.801516 0.564388i
554554 −13.5510 68.1253i −0.575726 2.89437i
555555 −18.1113 1.18708i −0.768781 0.0503886i
556556 −18.3613 + 20.9370i −0.778692 + 0.887928i
557557 13.6373 3.65411i 0.577831 0.154829i 0.0419455 0.999120i 0.486644π-0.486644\pi
0.535886 + 0.844290i 0.319978π0.319978\pi
558558 −1.76228 0.869063i −0.0746035 0.0367904i
559559 −1.75060 4.22633i −0.0740426 0.178755i
560560 −0.364762 + 8.89331i −0.0154140 + 0.375811i
561561 25.1537 + 2.68564i 1.06199 + 0.113388i
562562 0.580607 + 1.00564i 0.0244914 + 0.0424204i
563563 −0.310673 + 2.35980i −0.0130933 + 0.0994536i −0.996744 0.0806351i 0.974305π-0.974305\pi
0.983650 + 0.180089i 0.0576385π0.0576385\pi
564564 1.09780 + 16.7492i 0.0462259 + 0.705270i
565565 −11.8579 + 44.2543i −0.498866 + 1.86179i
566566 −6.80437 + 34.2079i −0.286009 + 1.43786i
567567 −1.55882 + 2.13778i −0.0654642 + 0.0897782i
568568 15.3008 3.04352i 0.642007 0.127703i
569569 1.62703 + 12.3585i 0.0682088 + 0.518097i 0.991108 + 0.133057i 0.0424792π0.0424792\pi
−0.922900 + 0.385041i 0.874187π0.874187\pi
570570 5.48068 4.20548i 0.229561 0.176148i
571571 19.2435 + 6.53230i 0.805317 + 0.273368i 0.693590 0.720370i 0.256028π-0.256028\pi
0.111728 + 0.993739i 0.464362π0.464362\pi
572572 −3.19084 + 48.6828i −0.133416 + 2.03553i
573573 −12.0356 2.39403i −0.502794 0.100012i
574574 −8.90243 + 1.99830i −0.371580 + 0.0834075i
575575 −0.626276 0.937289i −0.0261175 0.0390876i
576576 −10.1947 7.82267i −0.424779 0.325945i
577577 −5.13838 + 8.89994i −0.213914 + 0.370509i −0.952936 0.303172i 0.901954π-0.901954\pi
0.739022 + 0.673681i 0.235288π0.235288\pi
578578 35.4295 + 12.6777i 1.47367 + 0.527323i
579579 −13.5088 + 7.79932i −0.561407 + 0.324128i
580580 −32.8033 + 13.5876i −1.36208 + 0.564194i
581581 34.4745 + 18.7951i 1.43024 + 0.779751i
582582 −13.7268 + 13.7268i −0.568994 + 0.568994i
583583 0.888736 + 2.61813i 0.0368077 + 0.108432i
584584 −0.807702 1.63786i −0.0334229 0.0677750i
585585 2.13100 6.27773i 0.0881061 0.259552i
586586 −23.5714 + 3.10323i −0.973725 + 0.128193i
587587 −22.1824 9.18825i −0.915566 0.379240i −0.125381 0.992109i 0.540015π-0.540015\pi
−0.790185 + 0.612869i 0.790015π0.790015\pi
588588 20.1644 2.31620i 0.831565 0.0955185i
589589 −0.636715 + 0.952912i −0.0262354 + 0.0392640i
590590 40.5783 13.7745i 1.67058 0.567086i
591591 −1.38224 5.15858i −0.0568576 0.212196i
592592 10.4263 0.683374i 0.428517 0.0280865i
593593 −15.7736 + 20.5566i −0.647745 + 0.844158i −0.995631 0.0933792i 0.970233π-0.970233\pi
0.347886 + 0.937537i 0.386900π0.386900\pi
594594 −13.5805 −0.557216
595595 9.68931 + 24.5262i 0.397223 + 1.00548i
596596 30.6928 1.25723
597597 −11.1265 + 14.5004i −0.455378 + 0.593460i
598598 8.09180 0.530364i 0.330898 0.0216882i
599599 −6.11987 22.8397i −0.250051 0.933204i −0.970777 0.239984i 0.922858π-0.922858\pi
0.720726 0.693220i 0.243809π-0.243809\pi
600600 −1.59109 + 0.540102i −0.0649560 + 0.0220496i
601601 −8.76475 + 13.1174i −0.357522 + 0.535069i −0.966014 0.258491i 0.916775π-0.916775\pi
0.608492 + 0.793560i 0.291775π0.291775\pi
602602 −9.11390 3.51652i −0.371455 0.143323i
603603 12.8016 + 5.30259i 0.521321 + 0.215938i
604604 −41.3776 + 5.44746i −1.68363 + 0.221654i
605605 −20.7024 + 60.9873i −0.841672 + 2.47949i
606606 −17.7815 36.0573i −0.722323 1.46473i
607607 −14.3864 42.3811i −0.583928 1.72020i −0.688081 0.725634i 0.741547π-0.741547\pi
0.104154 0.994561i 0.466787π-0.466787\pi
608608 −6.44764 + 6.44764i −0.261486 + 0.261486i
609609 −6.98283 11.4391i −0.282958 0.463536i
610610 39.2884 16.2738i 1.59074 0.658906i
611611 13.7486 7.93776i 0.556209 0.321127i
612612 −11.6203 2.81003i −0.469722 0.113589i
613613 14.8994 25.8065i 0.601781 1.04231i −0.390771 0.920488i 0.627792π-0.627792\pi
0.992551 0.121827i 0.0388752π-0.0388752\pi
614614 −13.5941 10.4311i −0.548612 0.420965i
615615 2.09240 + 3.13149i 0.0843735 + 0.126274i
616616 21.8993 + 23.7726i 0.882349 + 0.957824i
617617 −19.7096 3.92049i −0.793479 0.157833i −0.218323 0.975877i 0.570059π-0.570059\pi
−0.575156 + 0.818044i 0.695059π0.695059\pi
618618 −2.41498 + 36.8454i −0.0971446 + 1.48214i
619619 26.6881 + 9.05940i 1.07269 + 0.364128i 0.801251 0.598329i 0.204168π-0.204168\pi
0.271435 + 0.962457i 0.412502π0.412502\pi
620620 4.93646 3.78788i 0.198253 0.152125i
621621 0.174365 + 1.32443i 0.00699703 + 0.0531477i
622622 12.3008 2.44679i 0.493219 0.0981073i
623623 −11.6474 26.2821i −0.466641 1.05297i
624624 −0.744561 + 3.74316i −0.0298063 + 0.149846i
625625 −7.37820 + 27.5358i −0.295128 + 1.10143i
626626 −0.460543 7.02653i −0.0184070 0.280837i
627627 −1.03389 + 7.85319i −0.0412897 + 0.313626i
628628 3.80758 + 6.59492i 0.151939 + 0.263166i
629629 27.4200 14.3688i 1.09331 0.572920i
630630 −6.57021 12.5403i −0.261763 0.499617i
631631 7.69012 + 18.5656i 0.306139 + 0.739085i 0.999823 + 0.0188054i 0.00598631π0.00598631\pi
−0.693684 + 0.720279i 0.744014π0.744014\pi
632632 −15.5600 7.67333i −0.618943 0.305229i
633633 −4.60398 + 1.23363i −0.182992 + 0.0490325i
634634 −4.47096 + 5.09816i −0.177565 + 0.202474i
635635 46.8308 + 3.06946i 1.85843 + 0.121808i
636636 −0.254920 1.28157i −0.0101082 0.0508176i
637637 −10.3999 16.1359i −0.412059 0.639327i
638638 26.3255 63.5554i 1.04224 2.51618i
639639 5.89052 5.16585i 0.233025 0.204358i
640640 31.0433 15.3089i 1.22710 0.605136i
641641 11.5477 + 10.1271i 0.456106 + 0.399994i 0.856335 0.516421i 0.172736π-0.172736\pi
−0.400229 + 0.916415i 0.631069π0.631069\pi
642642 −33.3826 8.94483i −1.31750 0.353024i
643643 14.7861 9.87978i 0.583108 0.389620i −0.228741 0.973487i 0.573461π-0.573461\pi
0.811849 + 0.583867i 0.198461π0.198461\pi
644644 6.56660 7.86788i 0.258760 0.310038i
645645 4.03239i 0.158775i
646646 −4.24063 + 10.9931i −0.166845 + 0.432517i
647647 17.7812 + 10.2660i 0.699051 + 0.403598i 0.806994 0.590560i 0.201093π-0.201093\pi
−0.107943 + 0.994157i 0.534426π0.534426\pi
648648 1.97415 + 0.259902i 0.0775520 + 0.0102099i
649649 −21.7316 + 44.0673i −0.853039 + 1.72979i
650650 3.62213 + 3.62213i 0.142072 + 0.142072i
651651 1.70085 + 1.61963i 0.0666617 + 0.0634781i
652652 1.85862 + 1.24189i 0.0727891 + 0.0486361i
653653 2.73507 + 3.11875i 0.107032 + 0.122046i 0.802875 0.596147i 0.203303π-0.203303\pi
−0.695843 + 0.718194i 0.744969π0.744969\pi
654654 −12.6885 16.5360i −0.496161 0.646609i
655655 12.5336 + 16.3342i 0.489730 + 0.638229i
656656 −1.42955 1.63009i −0.0558144 0.0636441i
657657 −0.762570 0.509533i −0.0297507 0.0198788i
658658 7.97095 32.9513i 0.310740 1.28457i
659659 −7.25275 7.25275i −0.282527 0.282527i 0.551589 0.834116i 0.314022π-0.314022\pi
−0.834116 + 0.551589i 0.814022π0.814022\pi
660660 19.0207 38.5702i 0.740380 1.50134i
661661 −10.4008 1.36930i −0.404546 0.0532595i −0.0744922 0.997222i 0.523734π-0.523734\pi
−0.330054 + 0.943962i 0.607067π0.607067\pi
662662 −26.8159 15.4822i −1.04223 0.601731i
663663 2.47733 + 11.0326i 0.0962116 + 0.428471i
664664 29.5508i 1.14679i
665665 −7.75184 + 2.84465i −0.300604 + 0.110311i
666666 −13.8183 + 9.23311i −0.535450 + 0.357776i
667667 −6.53621 1.75137i −0.253083 0.0678134i
668668 20.0486 + 17.5822i 0.775704 + 0.680274i
669669 −12.4093 + 6.11960i −0.479772 + 0.236597i
670670 −55.7446 + 48.8867i −2.15360 + 1.88866i
671671 −18.6594 + 45.0478i −0.720339 + 1.73905i
672672 10.7584 + 15.2786i 0.415016 + 0.589385i
673673 6.71261 + 33.7466i 0.258752 + 1.30083i 0.863472 + 0.504397i 0.168285π0.168285\pi
−0.604720 + 0.796438i 0.706715π0.706715\pi
674674 −34.7003 2.27438i −1.33661 0.0876058i
675675 −0.556389 + 0.634440i −0.0214154 + 0.0244196i
676676 15.3457 4.11186i 0.590218 0.158148i
677677 −29.9604 14.7748i −1.15147 0.567842i −0.236607 0.971606i 0.576035π-0.576035\pi
−0.914864 + 0.403763i 0.867702π0.867702\pi
678678 16.0539 + 38.7576i 0.616547 + 1.48848i
679679 20.5534 10.7685i 0.788769 0.413258i
680680 12.7158 15.2380i 0.487628 0.584349i
681681 −7.21689 12.5000i −0.276552 0.479002i
682682 −1.57355 + 11.9523i −0.0602544 + 0.457678i
683683 2.49959 + 38.1364i 0.0956442 + 1.45925i 0.728535 + 0.685008i 0.240201π0.240201\pi
−0.632891 + 0.774241i 0.718132π0.718132\pi
684684 0.968878 3.61590i 0.0370460 0.138257i
685685 0.344331 1.73107i 0.0131562 0.0661408i
686686 −40.2689 7.67884i −1.53747 0.293180i
687687 −9.33051 + 1.85595i −0.355981 + 0.0708090i
688688 −0.302998 2.30150i −0.0115517 0.0877439i
689689 −0.980477 + 0.752346i −0.0373532 + 0.0286621i
690690 −6.76874 2.29768i −0.257682 0.0874712i
691691 −2.29304 + 34.9850i −0.0872313 + 1.33089i 0.699959 + 0.714183i 0.253202π0.253202\pi
−0.787190 + 0.616710i 0.788465π0.788465\pi
692692 −27.1359 5.39767i −1.03155 0.205189i
693693 15.4941 + 4.84032i 0.588572 + 0.183869i
694694 8.96518 + 13.4173i 0.340314 + 0.509315i
695695 −18.4193 14.1336i −0.698684 0.536119i
696696 −5.04315 + 8.73500i −0.191160 + 0.331099i
697697 −5.82913 2.69891i −0.220794 0.102229i
698698 −11.8647 + 6.85010i −0.449086 + 0.259280i
699699 −9.71353 + 4.02347i −0.367399 + 0.152182i
700700 6.47168 0.158313i 0.244607 0.00598366i
701701 0.358450 0.358450i 0.0135385 0.0135385i −0.700305 0.713844i 0.746953π-0.746953\pi
0.713844 + 0.700305i 0.246953π0.246953\pi
702702 −1.95125 5.74820i −0.0736452 0.216952i
703703 4.28722 + 8.69363i 0.161696 + 0.327886i
704704 −25.3423 + 74.6559i −0.955122 + 2.81370i
705705 −13.8743 + 1.82659i −0.522536 + 0.0687932i
706706 47.9825 + 19.8750i 1.80585 + 0.748006i
707707 7.43558 + 47.4755i 0.279644 + 1.78550i
708708 12.9009 19.3075i 0.484845 0.725621i
709709 −1.76803 + 0.600164i −0.0663996 + 0.0225396i −0.354442 0.935078i 0.615329π-0.615329\pi
0.288042 + 0.957618i 0.406996π0.406996\pi
710710 10.8506 + 40.4949i 0.407215 + 1.51975i
711711 −8.69432 + 0.569856i −0.326062 + 0.0213713i
712712 −13.1707 + 17.1644i −0.493592 + 0.643262i
713713 1.18585 0.0444103
714714 20.7099 + 12.4157i 0.775047 + 0.464647i
715715 −40.6745 −1.52114
716716 41.7176 54.3674i 1.55906 2.03181i
717717 2.10223 0.137787i 0.0785092 0.00514576i
718718 −5.71972 21.3463i −0.213458 0.796636i
719719 −2.62797 + 0.892076i −0.0980068 + 0.0332688i −0.370012 0.929027i 0.620646π-0.620646\pi
0.272005 + 0.962296i 0.412313π0.412313\pi
720720 1.86904 2.79721i 0.0696549 0.104246i
721721 15.8876 41.1764i 0.591684 1.53349i
722722 35.4465 + 14.6824i 1.31918 + 0.546423i
723723 0.288192 0.0379412i 0.0107180 0.00141105i
724724 6.24976 18.4112i 0.232270 0.684247i
725725 −1.89056 3.83368i −0.0702138 0.142379i
726726 18.9561 + 55.8430i 0.703528 + 2.07253i
727727 −17.9107 + 17.9107i −0.664269 + 0.664269i −0.956383 0.292114i 0.905641π-0.905641\pi
0.292114 + 0.956383i 0.405641π0.405641\pi
728728 −6.91566 + 12.6849i −0.256311 + 0.470134i
729729 0.923880 0.382683i 0.0342178 0.0141735i
730730 4.25003 2.45376i 0.157301 0.0908177i
731731 −3.58388 5.87003i −0.132554 0.217111i
732732 11.5219 19.9565i 0.425861 0.737613i
733733 −0.525859 0.403506i −0.0194230 0.0149038i 0.599004 0.800746i 0.295563π-0.295563\pi
−0.618427 + 0.785842i 0.712230π0.712230\pi
734734 9.49139 + 14.2049i 0.350334 + 0.524311i
735735 3.02642 + 16.6490i 0.111631 + 0.614108i
736736 9.25362 + 1.84066i 0.341093 + 0.0678476i
737737 5.56014 84.8313i 0.204810 3.12480i
738738 3.26552 + 1.10849i 0.120205 + 0.0408042i
739739 −13.4931 + 10.3536i −0.496353 + 0.380865i −0.826386 0.563105i 0.809607π-0.809607\pi
0.330033 + 0.943969i 0.392940π0.392940\pi
740740 −6.86927 52.1773i −0.252519 1.91808i
741741 −3.47255 + 0.690734i −0.127567 + 0.0253747i
742742 −0.280386 + 2.62421i −0.0102933 + 0.0963378i
743743 1.89588 9.53123i 0.0695531 0.349667i −0.930300 0.366799i 0.880454π-0.880454\pi
0.999853 + 0.0171323i 0.00545364π0.00545364\pi
744744 0.457483 1.70735i 0.0167721 0.0625944i
745745 1.67360 + 25.5342i 0.0613159 + 0.935500i
746746 −0.386414 + 2.93511i −0.0141476 + 0.107462i
747747 −7.42040 12.8525i −0.271498 0.470249i
748748 6.59129 + 73.0525i 0.241001 + 2.67106i
749749 34.8983 + 22.1033i 1.27516 + 0.807637i
750750 8.51058 + 20.5464i 0.310762 + 0.750247i
751751 14.0724 + 6.93972i 0.513508 + 0.253234i 0.680531 0.732719i 0.261749π-0.261749\pi
−0.167024 + 0.985953i 0.553416π0.553416\pi
752752 7.78156 2.08506i 0.283764 0.0760344i
753753 19.6575 22.4151i 0.716359 0.816850i
754754 30.6834 + 2.01110i 1.11742 + 0.0732398i
755755 −6.78811 34.1261i −0.247045 1.24198i
756756 −6.96131 3.22376i −0.253180 0.117247i
757757 −0.673804 + 1.62671i −0.0244898 + 0.0591236i −0.935651 0.352926i 0.885187π-0.885187\pi
0.911162 + 0.412049i 0.135187π0.135187\pi
758758 −25.4284 + 22.3001i −0.923599 + 0.809975i
759759 7.35074 3.62498i 0.266815 0.131578i
760760 4.67225 + 4.09746i 0.169480 + 0.148630i
761761 30.6989 + 8.22575i 1.11283 + 0.298183i 0.767981 0.640473i 0.221262π-0.221262\pi
0.344854 + 0.938656i 0.387928π0.387928\pi
762762 35.7305 23.8743i 1.29438 0.864876i
763763 8.58271 + 23.3884i 0.310715 + 0.846718i
764764 35.5817i 1.28730i
765765 1.70412 9.82046i 0.0616125 0.355059i
766766 −51.9874 30.0149i −1.87838 1.08448i
767767 −21.7746 2.86669i −0.786237 0.103510i
768768 2.65062 5.37492i 0.0956459 0.193951i
769769 −28.4755 28.4755i −1.02685 1.02685i −0.999629 0.0272230i 0.991334π-0.991334\pi
−0.0272230 0.999629i 0.508666π-0.508666\pi
770770 −59.8983 + 62.9023i −2.15859 + 2.26684i
771771 19.3200 + 12.9092i 0.695793 + 0.464914i
772772 −29.8217 34.0052i −1.07331 1.22387i
773773 −24.3365 31.7160i −0.875324 1.14074i −0.989101 0.147238i 0.952962π-0.952962\pi
0.113777 0.993506i 0.463705π-0.463705\pi
774774 2.24770 + 2.92926i 0.0807920 + 0.105290i
775775 0.493907 + 0.563193i 0.0177416 + 0.0202305i
776776 −14.5199 9.70189i −0.521234 0.348278i
777777 19.0562 5.60903i 0.683639 0.201223i
778778 −54.5886 54.5886i −1.95710 1.95710i
779779 0.889612 1.80396i 0.0318737 0.0646334i
780780 19.0584 + 2.50908i 0.682400 + 0.0898396i
781781 −41.6291 24.0346i −1.48961 0.860025i
782782 11.8955 2.67110i 0.425383 0.0955183i
783783 5.06548i 0.181025i
784784 −2.97837 9.27507i −0.106370 0.331253i
785785 −5.27888 + 3.52723i −0.188411 + 0.125892i
786786 18.2097 + 4.87928i 0.649519 + 0.174038i
787787 18.2660 + 16.0188i 0.651111 + 0.571009i 0.919882 0.392195i 0.128284π-0.128284\pi
−0.268771 + 0.963204i 0.586618π0.586618\pi
788788 13.8883 6.84897i 0.494751 0.243984i
789789 17.3989 15.2584i 0.619416 0.543213i
790790 17.8416 43.0735i 0.634776 1.53249i
791791 −4.50216 49.9406i −0.160079 1.77568i
792792 −2.38334 11.9818i −0.0846882 0.425756i
793793 −21.7483 1.42546i −0.772303 0.0506194i
794794 −5.61524 + 6.40295i −0.199277 + 0.227232i
795795 1.05227 0.281956i 0.0373203 0.00999995i
796796 −47.5309 23.4396i −1.68469 0.830796i
797797 −18.5475 44.7776i −0.656985 1.58610i −0.802436 0.596738i 0.796463π-0.796463\pi
0.145451 0.989365i 0.453537π-0.453537\pi
798798 −4.04556 + 6.38742i −0.143211 + 0.226112i
799799 18.5737 14.9901i 0.657090 0.530312i
800800 2.97996 + 5.16145i 0.105358 + 0.182485i
801801 −1.41823 + 10.7725i −0.0501107 + 0.380629i
802802 3.89295 + 59.3950i 0.137465 + 2.09731i
803803 −1.45636 + 5.43520i −0.0513937 + 0.191804i
804804 −7.83822 + 39.4054i −0.276433 + 1.38972i
805805 6.90357 + 5.03393i 0.243319 + 0.177423i
806806 −5.28511 + 1.05127i −0.186160 + 0.0370296i
807807 −2.02045 15.3468i −0.0711231 0.540234i
808808 28.6921 22.0162i 1.00938 0.774527i
809809 −26.0531 8.84383i −0.915978 0.310933i −0.176647 0.984274i 0.556525π-0.556525\pi
−0.739331 + 0.673342i 0.764858π0.764858\pi
810810 −0.349967 + 5.33946i −0.0122966 + 0.187610i
811811 −9.94901 1.97898i −0.349357 0.0694914i 0.0172928 0.999850i 0.494495π-0.494495\pi
−0.366650 + 0.930359i 0.619495π0.619495\pi
812812 28.5811 26.3290i 1.00300 0.923966i
813813 −11.0116 16.4801i −0.386195 0.577982i
814814 80.8936 + 62.0718i 2.83532 + 2.17562i
815815 −0.931817 + 1.61395i −0.0326401 + 0.0565343i
816816 −0.234710 + 5.73311i −0.00821650 + 0.200699i
817817 1.86502 1.07677i 0.0652487 0.0376714i
818818 −28.1721 + 11.6693i −0.985014 + 0.408006i
819819 0.177440 + 7.25361i 0.00620027 + 0.253462i
820820 −7.72188 + 7.72188i −0.269660 + 0.269660i
821821 −1.08203 3.18757i −0.0377633 0.111247i 0.926413 0.376508i 0.122875π-0.122875\pi
−0.964177 + 0.265261i 0.914542π0.914542\pi
822822 −0.714785 1.44944i −0.0249310 0.0505551i
823823 0.388094 1.14329i 0.0135281 0.0398525i −0.939956 0.341295i 0.889135π-0.889135\pi
0.953485 + 0.301442i 0.0974680π0.0974680\pi
824824 −32.9318 + 4.33556i −1.14723 + 0.151036i
825825 4.78320 + 1.98127i 0.166530 + 0.0689788i
826826 −36.4991 + 29.4525i −1.26997 + 1.02478i
827827 −1.21299 + 1.81537i −0.0421799 + 0.0631267i −0.851960 0.523606i 0.824586π-0.824586\pi
0.809780 + 0.586733i 0.199586π0.199586\pi
828828 −3.66786 + 1.24507i −0.127467 + 0.0432692i
829829 −2.87701 10.7372i −0.0999227 0.372917i 0.897797 0.440409i 0.145167π-0.145167\pi
−0.997720 + 0.0674928i 0.978500π0.978500\pi
830830 79.2419 5.19379i 2.75053 0.180279i
831831 19.1031 24.8956i 0.662678 0.863619i
832832 −35.2406 −1.22175
833833 −19.2028 21.5465i −0.665338 0.746542i
834834 −21.2587 −0.736127
835835 −13.5339 + 17.6377i −0.468360 + 0.610378i
836836 −22.9182 + 1.50214i −0.792642 + 0.0519525i
837837 −0.229754 0.857453i −0.00794145 0.0296379i
838838 59.9794 20.3603i 2.07195 0.703333i
839839 5.51326 8.25118i 0.190339 0.284862i −0.724010 0.689789i 0.757703π-0.757703\pi
0.914349 + 0.404927i 0.132703π0.132703\pi
840840 9.91100 7.99755i 0.341962 0.275942i
841841 3.08664 + 1.27853i 0.106436 + 0.0440872i
842842 10.3307 1.36007i 0.356020 0.0468709i
843843 −0.168629 + 0.496765i −0.00580789 + 0.0171095i
844844 −6.11263 12.3952i −0.210406 0.426660i
845845 4.25753 + 12.5423i 0.146463 + 0.431467i
846846 −9.06060 + 9.06060i −0.311510 + 0.311510i
847847 −1.72381 70.4678i −0.0592308 2.42130i
848848 −0.579403 + 0.239997i −0.0198968 + 0.00824152i
849849 −13.6460 + 7.87850i −0.468328 + 0.270389i
850850 6.22308 + 4.53701i 0.213450 + 0.155618i
851851 5.01490 8.68606i 0.171909 0.297754i
852852 18.0230 + 13.8296i 0.617459 + 0.473793i
853853 10.2193 + 15.2943i 0.349902 + 0.523665i 0.964118 0.265472i 0.0855279π-0.0855279\pi
−0.614217 + 0.789137i 0.710528π0.710528\pi
854854 −34.2314 + 31.5341i −1.17138 + 1.07907i
855855 3.06100 + 0.608871i 0.104684 + 0.0208229i
856856 2.03333 31.0226i 0.0694977 1.06033i
857857 −51.2237 17.3881i −1.74977 0.593966i −0.751902 0.659275i 0.770863π-0.770863\pi
−0.997865 + 0.0653086i 0.979197π0.979197\pi
858858 −29.5474 + 22.6725i −1.00873 + 0.774026i
859859 −1.05828 8.03842i −0.0361080 0.274268i −0.999969 0.00786218i 0.997497π-0.997497\pi
0.963861 0.266405i 0.0858360π-0.0858360\pi
860860 −11.4675 + 2.28103i −0.391039 + 0.0777825i
861861 −3.33056 2.42857i −0.113505 0.0827655i
862862 −14.6819 + 73.8107i −0.500066 + 2.51400i
863863 4.73532 17.6724i 0.161192 0.601577i −0.837303 0.546739i 0.815869π-0.815869\pi
0.998495 0.0548381i 0.0174643π-0.0174643\pi
864864 −0.461928 7.04766i −0.0157151 0.239766i
865865 3.01082 22.8695i 0.102371 0.777585i
866866 −33.6766 58.3296i −1.14438 1.98212i
867867 6.24744 + 15.8104i 0.212174 + 0.536950i
868868 −3.64384 + 5.75316i −0.123680 + 0.195275i
869869 20.4571 + 49.3878i 0.693960 + 1.67537i
870870 −24.3097 11.9882i −0.824176 0.406438i
871871 36.7052 9.83513i 1.24371 0.333251i
872872 12.3626 14.0969i 0.418651 0.477380i
873873 −8.75134 0.573593i −0.296188 0.0194132i
874874 0.744760 + 3.74416i 0.0251919 + 0.126648i
875875 −2.38671 26.4748i −0.0806855 0.895010i
876876 1.01767 2.45687i 0.0343838 0.0830099i
877877 −6.11349 + 5.36138i −0.206438 + 0.181041i −0.756321 0.654200i 0.773005π-0.773005\pi
0.549884 + 0.835241i 0.314672π0.314672\pi
878878 17.2517 8.50761i 0.582218 0.287118i
879879 −8.07538 7.08192i −0.272376 0.238867i
880880 −19.9371 5.34212i −0.672078 0.180083i
881881 −4.04042 + 2.69972i −0.136125 + 0.0909560i −0.621768 0.783201i 0.713585π-0.713585\pi
0.485643 + 0.874157i 0.338585π0.338585\pi
882882 11.4789 + 10.4074i 0.386513 + 0.350436i
883883 44.7736i 1.50675i 0.657590 + 0.753376i 0.271576π0.271576\pi
−0.657590 + 0.753376i 0.728424π0.728424\pi
884884 −29.9737 + 13.2861i −1.00812 + 0.446858i
885885 16.7659 + 9.67981i 0.563580 + 0.325383i
886886 −53.5300 7.04736i −1.79837 0.236761i
887887 2.21036 4.48216i 0.0742166 0.150496i −0.856602 0.515977i 0.827429π-0.827429\pi
0.930819 + 0.365481i 0.119096π0.119096\pi
888888 −10.5713 10.5713i −0.354749 0.354749i
889889 −49.2743 + 14.5034i −1.65261 + 0.486429i
890890 −48.3419 32.3010i −1.62042 1.08273i
891891 −4.04531 4.61279i −0.135523 0.154534i
892892 −24.4229 31.8286i −0.817740 1.06570i
893893 4.54967 + 5.92924i 0.152249 + 0.198415i
894894 15.4488 + 17.6160i 0.516686 + 0.589167i
895895 47.5045 + 31.7415i 1.58790 + 1.06100i
896896 −26.1238 + 27.4339i −0.872734 + 0.916503i
897897 2.59049 + 2.59049i 0.0864940 + 0.0864940i
898898 −29.3774 + 59.5715i −0.980337 + 1.98793i
899899 4.45816 + 0.586927i 0.148688 + 0.0195751i
900900 −2.11899 1.22340i −0.0706330 0.0407800i
901901 −1.28122 + 1.34568i −0.0426837 + 0.0448312i
902902 21.1579i 0.704480i
903903 −1.52038 4.14313i −0.0505950 0.137875i
904904 −31.3777 + 20.9659i −1.04361 + 0.697315i
905905 15.6576 + 4.19543i 0.520475 + 0.139461i
906906 −23.9534 21.0066i −0.795800 0.697897i
907907 28.9530 14.2780i 0.961369 0.474095i 0.107284 0.994228i 0.465784π-0.465784\pi
0.854085 + 0.520134i 0.174118π0.174118\pi
908908 31.4658 27.5947i 1.04423 0.915764i
909909 6.95061 16.7803i 0.230537 0.556566i
910910 −35.2307 16.3152i −1.16789 0.540844i
911911 −5.72126 28.7627i −0.189554 0.952952i −0.952046 0.305954i 0.901024π-0.901024\pi
0.762492 0.646997i 0.223976π-0.223976\pi
912912 −1.79283 0.117508i −0.0593665 0.00389108i
913913 −60.0356 + 68.4575i −1.98689 + 2.26561i
914914 −4.33047 + 1.16035i −0.143239 + 0.0383809i
915915 17.2306 + 8.49720i 0.569626 + 0.280909i
916916 −10.5561 25.4847i −0.348784 0.842039i
917917 −19.0365 12.0570i −0.628641 0.398159i
918918 −4.23612 8.08381i −0.139813 0.266805i
919919 4.80832 + 8.32825i 0.158612 + 0.274724i 0.934368 0.356309i 0.115965π-0.115965\pi
−0.775757 + 0.631032i 0.782632π0.782632\pi
920920 0.839307 6.37517i 0.0276711 0.210183i
921921 −0.506294 7.72455i −0.0166829 0.254532i
922922 −6.71971 + 25.0783i −0.221302 + 0.825909i
923923 4.19179 21.0735i 0.137974 0.693644i
924924 −5.00050 + 46.8010i −0.164504 + 1.53964i
925925 6.21397 1.23604i 0.204314 0.0406406i
926926 3.56712 + 27.0950i 0.117223 + 0.890396i
927927 −13.2343 + 10.1551i −0.434673 + 0.333536i
928928 33.8777 + 11.4999i 1.11209 + 0.377504i
929929 1.73830 26.5213i 0.0570318 0.870137i −0.869503 0.493928i 0.835561π-0.835561\pi
0.926535 0.376209i 0.122773π-0.122773\pi
930930 4.65874 + 0.926682i 0.152766 + 0.0303871i
931931 6.89218 5.84554i 0.225882 0.191580i
932932 −16.9369 25.3478i −0.554786 0.830296i
933933 4.49520 + 3.44928i 0.147166 + 0.112925i
934934 −8.54625 + 14.8025i −0.279642 + 0.484354i
935935 −60.4150 + 9.46684i −1.97578 + 0.309599i
936936 4.72909 2.73034i 0.154575 0.0892440i
937937 −22.8080 + 9.44737i −0.745104 + 0.308632i −0.722742 0.691118i 0.757119π-0.757119\pi
−0.0223617 + 0.999750i 0.507119π0.507119\pi
938938 38.8431 71.2473i 1.26827 2.32631i
939939 2.24946 2.24946i 0.0734083 0.0734083i
940940 −13.0429 38.4232i −0.425413 1.25323i
941941 20.4337 + 41.4355i 0.666120 + 1.35076i 0.923182 + 0.384363i 0.125579π0.125579\pi
−0.257062 + 0.966395i 0.582754π0.582754\pi
942942 −1.86863 + 5.50481i −0.0608833 + 0.179356i
943943 −2.06341 + 0.271653i −0.0671939 + 0.00884624i
944944 −10.2966 4.26498i −0.335125 0.138813i
945945 2.30235 5.96709i 0.0748955 0.194109i
946946 12.5854 18.8355i 0.409188 0.612393i
947947 28.7880 9.77221i 0.935484 0.317554i 0.188255 0.982120i 0.439717π-0.439717\pi
0.747230 + 0.664566i 0.231384π0.231384\pi
948948 −6.53876 24.4030i −0.212369 0.792572i
949949 −2.50979 + 0.164500i −0.0814713 + 0.00533991i
950950 −1.46802 + 1.91316i −0.0476287 + 0.0620710i
951951 −3.06344 −0.0993388
952952 −7.31965 + 20.4508i −0.237231 + 0.662815i
953953 32.4072 1.04977 0.524886 0.851172i 0.324108π-0.324108\pi
0.524886 + 0.851172i 0.324108π0.324108\pi
954954 0.607242 0.791373i 0.0196602 0.0256216i
955955 29.6014 1.94018i 0.957879 0.0627827i
956956 1.58103 + 5.90048i 0.0511342 + 0.190835i
957957 29.4291 9.98982i 0.951306 0.322925i
958958 40.6472 60.8329i 1.31325 1.96542i
959959 0.298898 + 1.90844i 0.00965192 + 0.0616266i
960960 28.6994 + 11.8877i 0.926269 + 0.383673i
961961 29.9535 3.94346i 0.966243 0.127208i
962962 −14.6502 + 43.1581i −0.472341 + 1.39147i
963963 −6.90563 14.0032i −0.222531 0.451248i
964964 0.270923 + 0.798112i 0.00872583 + 0.0257055i
965965 26.6637 26.6637i 0.858336 0.858336i
966966 7.82096 0.191319i 0.251635 0.00615559i
967967 −42.2140 + 17.4856i −1.35751 + 0.562299i −0.938373 0.345625i 0.887667π-0.887667\pi
−0.419136 + 0.907923i 0.637667π0.637667\pi
968968 −45.9425 + 26.5249i −1.47665 + 0.852542i
969969 −4.99711 + 1.83419i −0.160530 + 0.0589226i
970970 23.4641 40.6410i 0.753387 1.30490i
971971 −20.3350 15.6036i −0.652582 0.500743i 0.228601 0.973520i 0.426585π-0.426585\pi
−0.881182 + 0.472777i 0.843252π0.843252\pi
972972 1.61091 + 2.41090i 0.0516700 + 0.0773297i
973973 24.2541 + 7.57693i 0.777551 + 0.242905i
974974 58.0915 + 11.5551i 1.86137 + 0.370250i
975975 −0.151356 + 2.30924i −0.00484726 + 0.0739549i
976976 −10.4729 3.55508i −0.335230 0.113795i
977977 −4.22545 + 3.24230i −0.135184 + 0.103730i −0.674140 0.738604i 0.735486π-0.735486\pi
0.538956 + 0.842334i 0.318819π0.318819\pi
978978 0.222734 + 1.69184i 0.00712226 + 0.0540990i
979979 65.3824 13.0054i 2.08963 0.415654i
980980 −45.6353 + 18.0247i −1.45777 + 0.575777i
981981 1.83705 9.23548i 0.0586525 0.294866i
982982 −3.34440 + 12.4815i −0.106724 + 0.398300i
983983 1.29451 + 19.7504i 0.0412885 + 0.629941i 0.967490 + 0.252911i 0.0813880π0.0813880\pi
−0.926201 + 0.377030i 0.876945π0.876945\pi
984984 −0.404916 + 3.07564i −0.0129082 + 0.0980479i
985985 6.45514 + 11.1806i 0.205678 + 0.356245i
986986 46.0429 4.15431i 1.46631 0.132300i
987987 13.5666 7.10794i 0.431831 0.226248i
988988 −3.92869 9.48469i −0.124988 0.301748i
989989 −1.99851 0.985554i −0.0635488 0.0313388i
990990 31.7110 8.49694i 1.00784 0.270051i
991991 15.6220 17.8134i 0.496248 0.565862i −0.448449 0.893809i 0.648023π-0.648023\pi
0.944696 + 0.327947i 0.106357π0.106357\pi
992992 −6.25621 0.410054i −0.198635 0.0130192i
993993 −2.72909 13.7201i −0.0866052 0.435394i
994994 −26.4168 37.5159i −0.837891 1.18993i
995995 16.9084 40.8204i 0.536031 1.29409i
996996 32.3531 28.3729i 1.02515 0.899030i
997997 −17.7395 + 8.74816i −0.561816 + 0.277057i −0.700943 0.713218i 0.747237π-0.747237\pi
0.139127 + 0.990275i 0.455570π0.455570\pi
998998 49.7630 + 43.6409i 1.57522 + 1.38143i
999999 −7.25227 1.94324i −0.229452 0.0614814i
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 357.2.bl.a.199.3 yes 384
7.5 odd 6 inner 357.2.bl.a.250.22 yes 384
17.10 odd 16 inner 357.2.bl.a.10.22 384
119.61 even 48 inner 357.2.bl.a.61.3 yes 384
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
357.2.bl.a.10.22 384 17.10 odd 16 inner
357.2.bl.a.61.3 yes 384 119.61 even 48 inner
357.2.bl.a.199.3 yes 384 1.1 even 1 trivial
357.2.bl.a.250.22 yes 384 7.5 odd 6 inner