Properties

Label 231.2.bc.a.5.13
Level $231$
Weight $2$
Character 231.5
Analytic conductor $1.845$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [231,2,Mod(5,231)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(231, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 25, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("231.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 231 = 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 231.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.84454428669\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 5.13
Character \(\chi\) \(=\) 231.5
Dual form 231.2.bc.a.185.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0876680 + 0.412446i) q^{2} +(1.04792 - 1.37908i) q^{3} +(1.66467 + 0.741157i) q^{4} +(-0.908673 - 1.00918i) q^{5} +(0.476926 + 0.553112i) q^{6} +(0.442873 - 2.60842i) q^{7} +(-0.947316 + 1.30387i) q^{8} +(-0.803721 - 2.89033i) q^{9} +O(q^{10})\) \(q+(-0.0876680 + 0.412446i) q^{2} +(1.04792 - 1.37908i) q^{3} +(1.66467 + 0.741157i) q^{4} +(-0.908673 - 1.00918i) q^{5} +(0.476926 + 0.553112i) q^{6} +(0.442873 - 2.60842i) q^{7} +(-0.947316 + 1.30387i) q^{8} +(-0.803721 - 2.89033i) q^{9} +(0.495895 - 0.286305i) q^{10} +(2.95381 + 1.50832i) q^{11} +(2.76655 - 1.51903i) q^{12} +(-3.13548 + 1.01878i) q^{13} +(1.03701 + 0.411336i) q^{14} +(-2.34396 + 0.195587i) q^{15} +(1.98386 + 2.20330i) q^{16} +(-2.94112 + 0.625154i) q^{17} +(1.26257 - 0.0781011i) q^{18} +(0.465506 + 1.04554i) q^{19} +(-0.764673 - 2.35342i) q^{20} +(-3.13312 - 3.34418i) q^{21} +(-0.881055 + 1.08605i) q^{22} +(3.33269 + 1.92413i) q^{23} +(0.805425 + 2.67277i) q^{24} +(0.329878 - 3.13858i) q^{25} +(-0.145310 - 1.38253i) q^{26} +(-4.82824 - 1.92045i) q^{27} +(2.67048 - 4.01391i) q^{28} +(3.79249 + 5.21991i) q^{29} +(0.124821 - 0.983903i) q^{30} +(3.22991 + 2.90822i) q^{31} +(-3.87415 + 2.23674i) q^{32} +(5.17545 - 2.49293i) q^{33} -1.26786i q^{34} +(-3.03480 + 1.92326i) q^{35} +(0.804265 - 5.40712i) q^{36} +(0.662661 + 6.30480i) q^{37} +(-0.472040 + 0.100335i) q^{38} +(-1.88076 + 5.39168i) q^{39} +(2.17664 - 0.228774i) q^{40} +(-4.28689 - 3.11461i) q^{41} +(1.65397 - 0.999066i) q^{42} -6.25696 q^{43} +(3.79919 + 4.70008i) q^{44} +(-2.18656 + 3.43747i) q^{45} +(-1.08577 + 1.20587i) q^{46} +(-5.02926 + 2.23917i) q^{47} +(5.11745 - 0.427015i) q^{48} +(-6.60773 - 2.31040i) q^{49} +(1.26557 + 0.411209i) q^{50} +(-2.21992 + 4.71115i) q^{51} +(-5.97460 - 0.627956i) q^{52} +(-0.249480 - 0.224633i) q^{53} +(1.21536 - 1.82302i) q^{54} +(-1.16187 - 4.35150i) q^{55} +(2.98150 + 3.04845i) q^{56} +(1.92970 + 0.453678i) q^{57} +(-2.48541 + 1.10658i) q^{58} +(3.27672 + 1.45889i) q^{59} +(-4.04687 - 1.41166i) q^{60} +(0.873372 - 0.786387i) q^{61} +(-1.48264 + 1.07720i) q^{62} +(-7.89516 + 0.816390i) q^{63} +(1.24947 + 3.84547i) q^{64} +(3.87726 + 2.23854i) q^{65} +(0.574476 + 2.35314i) q^{66} +(-7.25299 - 12.5625i) q^{67} +(-5.35931 - 1.13916i) q^{68} +(6.14593 - 2.57971i) q^{69} +(-0.527185 - 1.42030i) q^{70} +(-4.80261 - 1.56046i) q^{71} +(4.52999 + 1.69011i) q^{72} +(-3.55869 + 7.99295i) q^{73} +(-2.65848 - 0.279417i) q^{74} +(-3.98266 - 3.74391i) q^{75} +2.08549i q^{76} +(5.24250 - 7.03677i) q^{77} +(-2.05889 - 1.24839i) q^{78} +(-0.650943 - 0.138362i) q^{79} +(0.420853 - 4.00415i) q^{80} +(-7.70807 + 4.64604i) q^{81} +(1.66043 - 1.49506i) q^{82} +(-5.45930 + 16.8020i) q^{83} +(-2.73704 - 7.88907i) q^{84} +(3.30341 + 2.40007i) q^{85} +(0.548535 - 2.58065i) q^{86} +(11.1729 + 0.239916i) q^{87} +(-4.76484 + 2.42252i) q^{88} +(8.26950 - 14.3232i) q^{89} +(-1.22608 - 1.20319i) q^{90} +(1.26879 + 8.62984i) q^{91} +(4.12174 + 5.67308i) q^{92} +(7.39536 - 1.40671i) q^{93} +(-0.482631 - 2.27060i) q^{94} +(0.632153 - 1.41984i) q^{95} +(-0.975162 + 7.68670i) q^{96} +(3.82461 - 1.24269i) q^{97} +(1.53220 - 2.52278i) q^{98} +(1.98552 - 9.74975i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9} - 60 q^{10} - 12 q^{12} - 36 q^{15} + 18 q^{16} + 13 q^{18} - 18 q^{19} - 6 q^{21} + 20 q^{22} - 51 q^{24} - 18 q^{25} - 26 q^{28} - 15 q^{30} - 36 q^{31} + 60 q^{33} - 32 q^{36} - 10 q^{37} + 9 q^{39} - 114 q^{42} - 96 q^{43} + 24 q^{45} - 54 q^{46} - 56 q^{49} - 29 q^{51} - 30 q^{52} - 96 q^{54} + 68 q^{57} - 64 q^{58} + 125 q^{60} - 18 q^{61} - 26 q^{63} + 56 q^{64} + 135 q^{66} + 48 q^{67} - 44 q^{70} + 19 q^{72} + 30 q^{73} + 63 q^{75} + 28 q^{78} + 30 q^{79} + 31 q^{81} + 54 q^{82} + 99 q^{84} - 248 q^{85} + 102 q^{87} + 82 q^{88} - 144 q^{91} + 34 q^{93} + 162 q^{94} - 87 q^{96} - 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0876680 + 0.412446i −0.0619906 + 0.291643i −0.998212 0.0597668i \(-0.980964\pi\)
0.936222 + 0.351410i \(0.114298\pi\)
\(3\) 1.04792 1.37908i 0.605018 0.796212i
\(4\) 1.66467 + 0.741157i 0.832333 + 0.370578i
\(5\) −0.908673 1.00918i −0.406371 0.451320i 0.504870 0.863196i \(-0.331541\pi\)
−0.911240 + 0.411875i \(0.864874\pi\)
\(6\) 0.476926 + 0.553112i 0.194704 + 0.225807i
\(7\) 0.442873 2.60842i 0.167390 0.985891i
\(8\) −0.947316 + 1.30387i −0.334927 + 0.460987i
\(9\) −0.803721 2.89033i −0.267907 0.963445i
\(10\) 0.495895 0.286305i 0.156816 0.0905375i
\(11\) 2.95381 + 1.50832i 0.890606 + 0.454776i
\(12\) 2.76655 1.51903i 0.798635 0.438507i
\(13\) −3.13548 + 1.01878i −0.869626 + 0.282558i −0.709643 0.704561i \(-0.751144\pi\)
−0.159982 + 0.987120i \(0.551144\pi\)
\(14\) 1.03701 + 0.411336i 0.277152 + 0.109934i
\(15\) −2.34396 + 0.195587i −0.605208 + 0.0505003i
\(16\) 1.98386 + 2.20330i 0.495965 + 0.550824i
\(17\) −2.94112 + 0.625154i −0.713326 + 0.151622i −0.550260 0.834993i \(-0.685471\pi\)
−0.163065 + 0.986615i \(0.552138\pi\)
\(18\) 1.26257 0.0781011i 0.297590 0.0184086i
\(19\) 0.465506 + 1.04554i 0.106794 + 0.239864i 0.959036 0.283284i \(-0.0914240\pi\)
−0.852242 + 0.523148i \(0.824757\pi\)
\(20\) −0.764673 2.35342i −0.170986 0.526241i
\(21\) −3.13312 3.34418i −0.683704 0.729760i
\(22\) −0.881055 + 1.08605i −0.187841 + 0.231547i
\(23\) 3.33269 + 1.92413i 0.694915 + 0.401209i 0.805451 0.592663i \(-0.201923\pi\)
−0.110536 + 0.993872i \(0.535257\pi\)
\(24\) 0.805425 + 2.67277i 0.164407 + 0.545578i
\(25\) 0.329878 3.13858i 0.0659755 0.627715i
\(26\) −0.145310 1.38253i −0.0284976 0.271136i
\(27\) −4.82824 1.92045i −0.929195 0.369591i
\(28\) 2.67048 4.01391i 0.504674 0.758558i
\(29\) 3.79249 + 5.21991i 0.704247 + 0.969313i 0.999902 + 0.0140181i \(0.00446226\pi\)
−0.295655 + 0.955295i \(0.595538\pi\)
\(30\) 0.124821 0.983903i 0.0227892 0.179635i
\(31\) 3.22991 + 2.90822i 0.580108 + 0.522332i 0.906113 0.423036i \(-0.139036\pi\)
−0.326004 + 0.945368i \(0.605702\pi\)
\(32\) −3.87415 + 2.23674i −0.684860 + 0.395404i
\(33\) 5.17545 2.49293i 0.900931 0.433963i
\(34\) 1.26786i 0.217436i
\(35\) −3.03480 + 1.92326i −0.512975 + 0.325090i
\(36\) 0.804265 5.40712i 0.134044 0.901187i
\(37\) 0.662661 + 6.30480i 0.108941 + 1.03650i 0.903287 + 0.429037i \(0.141147\pi\)
−0.794346 + 0.607465i \(0.792186\pi\)
\(38\) −0.472040 + 0.100335i −0.0765750 + 0.0162765i
\(39\) −1.88076 + 5.39168i −0.301163 + 0.863359i
\(40\) 2.17664 0.228774i 0.344157 0.0361724i
\(41\) −4.28689 3.11461i −0.669500 0.486421i 0.200357 0.979723i \(-0.435790\pi\)
−0.869858 + 0.493302i \(0.835790\pi\)
\(42\) 1.65397 0.999066i 0.255213 0.154159i
\(43\) −6.25696 −0.954177 −0.477088 0.878855i \(-0.658308\pi\)
−0.477088 + 0.878855i \(0.658308\pi\)
\(44\) 3.79919 + 4.70008i 0.572750 + 0.708564i
\(45\) −2.18656 + 3.43747i −0.325953 + 0.512428i
\(46\) −1.08577 + 1.20587i −0.160088 + 0.177796i
\(47\) −5.02926 + 2.23917i −0.733593 + 0.326617i −0.739309 0.673367i \(-0.764847\pi\)
0.00571512 + 0.999984i \(0.498181\pi\)
\(48\) 5.11745 0.427015i 0.738640 0.0616343i
\(49\) −6.60773 2.31040i −0.943961 0.330057i
\(50\) 1.26557 + 0.411209i 0.178979 + 0.0581538i
\(51\) −2.21992 + 4.71115i −0.310851 + 0.659692i
\(52\) −5.97460 0.627956i −0.828528 0.0870818i
\(53\) −0.249480 0.224633i −0.0342687 0.0308557i 0.651818 0.758375i \(-0.274006\pi\)
−0.686087 + 0.727519i \(0.740673\pi\)
\(54\) 1.21536 1.82302i 0.165390 0.248082i
\(55\) −1.16187 4.35150i −0.156666 0.586756i
\(56\) 2.98150 + 3.04845i 0.398419 + 0.407366i
\(57\) 1.92970 + 0.453678i 0.255595 + 0.0600911i
\(58\) −2.48541 + 1.10658i −0.326350 + 0.145300i
\(59\) 3.27672 + 1.45889i 0.426593 + 0.189931i 0.608791 0.793330i \(-0.291655\pi\)
−0.182199 + 0.983262i \(0.558321\pi\)
\(60\) −4.04687 1.41166i −0.522449 0.182244i
\(61\) 0.873372 0.786387i 0.111824 0.100687i −0.611322 0.791382i \(-0.709362\pi\)
0.723146 + 0.690695i \(0.242695\pi\)
\(62\) −1.48264 + 1.07720i −0.188296 + 0.136805i
\(63\) −7.89516 + 0.816390i −0.994696 + 0.102856i
\(64\) 1.24947 + 3.84547i 0.156184 + 0.480684i
\(65\) 3.87726 + 2.23854i 0.480915 + 0.277656i
\(66\) 0.574476 + 2.35314i 0.0707131 + 0.289652i
\(67\) −7.25299 12.5625i −0.886094 1.53476i −0.844455 0.535626i \(-0.820076\pi\)
−0.0416384 0.999133i \(-0.513258\pi\)
\(68\) −5.35931 1.13916i −0.649912 0.138143i
\(69\) 6.14593 2.57971i 0.739883 0.310561i
\(70\) −0.527185 1.42030i −0.0630107 0.169758i
\(71\) −4.80261 1.56046i −0.569965 0.185193i 0.00983534 0.999952i \(-0.496869\pi\)
−0.579800 + 0.814759i \(0.696869\pi\)
\(72\) 4.52999 + 1.69011i 0.533865 + 0.199182i
\(73\) −3.55869 + 7.99295i −0.416513 + 0.935504i 0.576456 + 0.817128i \(0.304435\pi\)
−0.992969 + 0.118376i \(0.962231\pi\)
\(74\) −2.65848 0.279417i −0.309042 0.0324816i
\(75\) −3.98266 3.74391i −0.459878 0.432309i
\(76\) 2.08549i 0.239223i
\(77\) 5.24250 7.03677i 0.597438 0.801915i
\(78\) −2.05889 1.24839i −0.233123 0.141352i
\(79\) −0.650943 0.138362i −0.0732368 0.0155670i 0.171148 0.985245i \(-0.445253\pi\)
−0.244384 + 0.969678i \(0.578586\pi\)
\(80\) 0.420853 4.00415i 0.0470528 0.447678i
\(81\) −7.70807 + 4.64604i −0.856452 + 0.516227i
\(82\) 1.66043 1.49506i 0.183364 0.165102i
\(83\) −5.45930 + 16.8020i −0.599236 + 1.84426i −0.0668387 + 0.997764i \(0.521291\pi\)
−0.532397 + 0.846495i \(0.678709\pi\)
\(84\) −2.73704 7.88907i −0.298636 0.860769i
\(85\) 3.30341 + 2.40007i 0.358305 + 0.260324i
\(86\) 0.548535 2.58065i 0.0591500 0.278279i
\(87\) 11.1729 + 0.239916i 1.19786 + 0.0257217i
\(88\) −4.76484 + 2.42252i −0.507933 + 0.258241i
\(89\) 8.26950 14.3232i 0.876565 1.51826i 0.0214790 0.999769i \(-0.493163\pi\)
0.855086 0.518486i \(-0.173504\pi\)
\(90\) −1.22608 1.20319i −0.129240 0.126828i
\(91\) 1.26879 + 8.62984i 0.133005 + 0.904653i
\(92\) 4.12174 + 5.67308i 0.429721 + 0.591460i
\(93\) 7.39536 1.40671i 0.766863 0.145869i
\(94\) −0.482631 2.27060i −0.0497796 0.234195i
\(95\) 0.632153 1.41984i 0.0648575 0.145672i
\(96\) −0.975162 + 7.68670i −0.0995271 + 0.784521i
\(97\) 3.82461 1.24269i 0.388331 0.126176i −0.108343 0.994114i \(-0.534555\pi\)
0.496674 + 0.867937i \(0.334555\pi\)
\(98\) 1.53220 2.52278i 0.154776 0.254839i
\(99\) 1.98552 9.74975i 0.199552 0.979887i
\(100\) 2.87531 4.98019i 0.287531 0.498019i
\(101\) 7.10562 7.89159i 0.707036 0.785243i −0.277444 0.960742i \(-0.589487\pi\)
0.984480 + 0.175499i \(0.0561539\pi\)
\(102\) −1.74847 1.32861i −0.173125 0.131552i
\(103\) 19.6329 2.06350i 1.93448 0.203322i 0.942927 0.333001i \(-0.108061\pi\)
0.991556 + 0.129678i \(0.0413944\pi\)
\(104\) 1.64193 5.05336i 0.161005 0.495522i
\(105\) −0.527905 + 6.20066i −0.0515182 + 0.605122i
\(106\) 0.114520 0.0832038i 0.0111232 0.00808147i
\(107\) −3.20998 7.20974i −0.310321 0.696992i 0.689302 0.724474i \(-0.257917\pi\)
−0.999622 + 0.0274829i \(0.991251\pi\)
\(108\) −6.61404 6.77539i −0.636437 0.651962i
\(109\) 1.82125 + 3.15449i 0.174444 + 0.302145i 0.939969 0.341261i \(-0.110854\pi\)
−0.765525 + 0.643406i \(0.777521\pi\)
\(110\) 1.89662 0.0977204i 0.180835 0.00931727i
\(111\) 9.38923 + 5.69307i 0.891187 + 0.540362i
\(112\) 6.62573 4.19896i 0.626072 0.396764i
\(113\) −1.27793 + 1.75891i −0.120217 + 0.165465i −0.864884 0.501971i \(-0.832608\pi\)
0.744667 + 0.667436i \(0.232608\pi\)
\(114\) −0.356291 + 0.756124i −0.0333697 + 0.0708175i
\(115\) −1.08653 5.11170i −0.101319 0.476669i
\(116\) 2.44445 + 11.5002i 0.226961 + 1.06777i
\(117\) 5.46466 + 8.24377i 0.505208 + 0.762137i
\(118\) −0.888976 + 1.22357i −0.0818369 + 0.112639i
\(119\) 0.328123 + 7.94854i 0.0300789 + 0.728641i
\(120\) 1.96545 3.24150i 0.179420 0.295907i
\(121\) 6.44993 + 8.91058i 0.586357 + 0.810052i
\(122\) 0.247775 + 0.429159i 0.0224325 + 0.0388543i
\(123\) −8.78763 + 2.64810i −0.792354 + 0.238771i
\(124\) 3.22127 + 7.23508i 0.289278 + 0.649730i
\(125\) −8.96033 + 6.51006i −0.801436 + 0.582278i
\(126\) 0.355436 3.32789i 0.0316648 0.296472i
\(127\) 2.72311 8.38087i 0.241637 0.743682i −0.754534 0.656260i \(-0.772137\pi\)
0.996171 0.0874216i \(-0.0278627\pi\)
\(128\) −10.5936 + 1.11343i −0.936346 + 0.0984140i
\(129\) −6.55680 + 8.62884i −0.577294 + 0.759727i
\(130\) −1.26319 + 1.40291i −0.110789 + 0.123043i
\(131\) 6.51430 11.2831i 0.569157 0.985809i −0.427492 0.904019i \(-0.640603\pi\)
0.996650 0.0817902i \(-0.0260638\pi\)
\(132\) 10.4630 0.314072i 0.910691 0.0273365i
\(133\) 2.93338 0.751193i 0.254356 0.0651367i
\(134\) 5.81722 1.89013i 0.502531 0.163282i
\(135\) 2.44920 + 6.61763i 0.210794 + 0.569555i
\(136\) 1.97105 4.42705i 0.169016 0.379616i
\(137\) −3.53336 16.6231i −0.301875 1.42021i −0.823636 0.567119i \(-0.808058\pi\)
0.521760 0.853092i \(-0.325276\pi\)
\(138\) 0.525189 + 2.76102i 0.0447070 + 0.235034i
\(139\) −5.00893 6.89420i −0.424852 0.584759i 0.541910 0.840437i \(-0.317701\pi\)
−0.966762 + 0.255678i \(0.917701\pi\)
\(140\) −6.47737 + 0.952322i −0.547437 + 0.0804859i
\(141\) −2.18228 + 9.28223i −0.183781 + 0.781705i
\(142\) 1.06464 1.84401i 0.0893426 0.154746i
\(143\) −10.7982 1.72004i −0.902994 0.143837i
\(144\) 4.77380 7.50485i 0.397817 0.625404i
\(145\) 1.82172 8.57050i 0.151285 0.711742i
\(146\) −2.98467 2.16849i −0.247013 0.179466i
\(147\) −10.1106 + 6.69146i −0.833909 + 0.551903i
\(148\) −3.56973 + 10.9865i −0.293430 + 0.903086i
\(149\) 16.8045 15.1308i 1.37668 1.23956i 0.436136 0.899881i \(-0.356347\pi\)
0.940540 0.339683i \(-0.110320\pi\)
\(150\) 1.89331 1.31441i 0.154588 0.107321i
\(151\) −1.59640 + 15.1888i −0.129913 + 1.23604i 0.714224 + 0.699917i \(0.246780\pi\)
−0.844138 + 0.536126i \(0.819887\pi\)
\(152\) −1.80423 0.383501i −0.146343 0.0311061i
\(153\) 4.17074 + 7.99836i 0.337184 + 0.646629i
\(154\) 2.44269 + 2.77915i 0.196837 + 0.223950i
\(155\) 5.90219i 0.474075i
\(156\) −7.12691 + 7.58140i −0.570610 + 0.606998i
\(157\) 8.63308 + 0.907374i 0.688995 + 0.0724163i 0.442554 0.896742i \(-0.354072\pi\)
0.246441 + 0.969158i \(0.420739\pi\)
\(158\) 0.114134 0.256349i 0.00908000 0.0203940i
\(159\) −0.571222 + 0.108655i −0.0453008 + 0.00861691i
\(160\) 5.77762 + 1.87726i 0.456761 + 0.148411i
\(161\) 6.49491 7.84093i 0.511871 0.617952i
\(162\) −1.24049 3.58647i −0.0974620 0.281779i
\(163\) −6.91268 1.46934i −0.541443 0.115087i −0.0709315 0.997481i \(-0.522597\pi\)
−0.470511 + 0.882394i \(0.655931\pi\)
\(164\) −4.82783 8.36205i −0.376990 0.652966i
\(165\) −7.21861 2.95772i −0.561968 0.230258i
\(166\) −6.45130 3.72466i −0.500718 0.289090i
\(167\) −6.83342 21.0311i −0.528786 1.62744i −0.756705 0.653756i \(-0.773192\pi\)
0.227919 0.973680i \(-0.426808\pi\)
\(168\) 7.32842 0.917188i 0.565400 0.0707626i
\(169\) −1.72390 + 1.25249i −0.132608 + 0.0963452i
\(170\) −1.27950 + 1.15207i −0.0981331 + 0.0883594i
\(171\) 2.64783 2.18579i 0.202485 0.167152i
\(172\) −10.4157 4.63739i −0.794193 0.353597i
\(173\) 9.15192 4.07470i 0.695808 0.309794i −0.0281834 0.999603i \(-0.508972\pi\)
0.723991 + 0.689809i \(0.242306\pi\)
\(174\) −1.07846 + 4.58718i −0.0817577 + 0.347753i
\(175\) −8.04063 2.25045i −0.607815 0.170118i
\(176\) 2.53665 + 9.50041i 0.191207 + 0.716120i
\(177\) 5.44567 2.99006i 0.409322 0.224746i
\(178\) 5.18257 + 4.66640i 0.388450 + 0.349762i
\(179\) 11.0715 + 1.16367i 0.827526 + 0.0869764i 0.508815 0.860876i \(-0.330084\pi\)
0.318710 + 0.947852i \(0.396750\pi\)
\(180\) −6.18759 + 4.10165i −0.461196 + 0.305719i
\(181\) −2.53533 0.823778i −0.188449 0.0612309i 0.213272 0.976993i \(-0.431588\pi\)
−0.401721 + 0.915762i \(0.631588\pi\)
\(182\) −3.67057 0.233256i −0.272081 0.0172901i
\(183\) −0.169266 2.02852i −0.0125125 0.149953i
\(184\) −5.66593 + 2.52263i −0.417698 + 0.185971i
\(185\) 5.76055 6.39774i 0.423524 0.470371i
\(186\) −0.0681448 + 3.17351i −0.00499662 + 0.232693i
\(187\) −9.63042 2.58957i −0.704246 0.189368i
\(188\) −10.0316 −0.731631
\(189\) −7.14764 + 11.7436i −0.519914 + 0.854218i
\(190\) 0.530186 + 0.385203i 0.0384638 + 0.0279456i
\(191\) −25.8401 + 2.71591i −1.86973 + 0.196516i −0.970522 0.241011i \(-0.922521\pi\)
−0.899205 + 0.437527i \(0.855854\pi\)
\(192\) 6.61256 + 2.30664i 0.477220 + 0.166467i
\(193\) 13.1952 2.80472i 0.949811 0.201889i 0.293143 0.956069i \(-0.405299\pi\)
0.656668 + 0.754180i \(0.271965\pi\)
\(194\) 0.177247 + 1.68639i 0.0127256 + 0.121076i
\(195\) 7.15018 3.00124i 0.512035 0.214923i
\(196\) −9.28728 8.74340i −0.663377 0.624529i
\(197\) 22.8743i 1.62972i 0.579655 + 0.814862i \(0.303187\pi\)
−0.579655 + 0.814862i \(0.696813\pi\)
\(198\) 3.84718 + 1.67366i 0.273407 + 0.118942i
\(199\) −3.99450 + 2.30622i −0.283162 + 0.163484i −0.634854 0.772632i \(-0.718940\pi\)
0.351692 + 0.936116i \(0.385607\pi\)
\(200\) 3.77979 + 3.40334i 0.267272 + 0.240652i
\(201\) −24.9253 3.16211i −1.75810 0.223038i
\(202\) 2.63192 + 3.62252i 0.185181 + 0.254880i
\(203\) 15.2953 7.58065i 1.07352 0.532057i
\(204\) −7.18713 + 6.19717i −0.503199 + 0.433889i
\(205\) 0.752170 + 7.15642i 0.0525339 + 0.499826i
\(206\) −0.870093 + 8.27839i −0.0606223 + 0.576783i
\(207\) 2.88283 11.1791i 0.200371 0.776999i
\(208\) −8.46502 4.88728i −0.586944 0.338872i
\(209\) −0.202002 + 3.79047i −0.0139728 + 0.262192i
\(210\) −2.51115 0.761331i −0.173286 0.0525369i
\(211\) −5.40686 16.6406i −0.372224 1.14559i −0.945333 0.326108i \(-0.894263\pi\)
0.573109 0.819479i \(-0.305737\pi\)
\(212\) −0.248812 0.558842i −0.0170885 0.0383814i
\(213\) −7.18476 + 4.98793i −0.492291 + 0.341768i
\(214\) 3.25504 0.691879i 0.222510 0.0472959i
\(215\) 5.68552 + 6.31441i 0.387750 + 0.430639i
\(216\) 7.07788 4.47611i 0.481588 0.304561i
\(217\) 9.01631 7.13699i 0.612067 0.484490i
\(218\) −1.46072 + 0.474617i −0.0989325 + 0.0321451i
\(219\) 7.29368 + 13.2837i 0.492861 + 0.897629i
\(220\) 1.29102 8.10492i 0.0870406 0.546434i
\(221\) 8.58492 4.95650i 0.577484 0.333411i
\(222\) −3.17122 + 3.37345i −0.212838 + 0.226411i
\(223\) −9.14143 + 12.5821i −0.612155 + 0.842559i −0.996753 0.0805251i \(-0.974340\pi\)
0.384597 + 0.923084i \(0.374340\pi\)
\(224\) 4.11861 + 11.0960i 0.275186 + 0.741384i
\(225\) −9.33666 + 1.56908i −0.622444 + 0.104605i
\(226\) −0.613423 0.681275i −0.0408043 0.0453178i
\(227\) −2.64760 1.17879i −0.175727 0.0782387i 0.316988 0.948430i \(-0.397329\pi\)
−0.492715 + 0.870191i \(0.663995\pi\)
\(228\) 2.87606 + 2.18543i 0.190472 + 0.144734i
\(229\) −4.22319 + 19.8686i −0.279076 + 1.31295i 0.585591 + 0.810607i \(0.300862\pi\)
−0.864668 + 0.502344i \(0.832471\pi\)
\(230\) 2.20355 0.145298
\(231\) −4.21054 14.6038i −0.277033 0.960860i
\(232\) −10.3988 −0.682712
\(233\) −0.745162 + 3.50571i −0.0488172 + 0.229667i −0.995792 0.0916405i \(-0.970789\pi\)
0.946975 + 0.321307i \(0.104122\pi\)
\(234\) −3.87918 + 1.53116i −0.253590 + 0.100095i
\(235\) 6.82969 + 3.04077i 0.445520 + 0.198358i
\(236\) 4.37338 + 4.85713i 0.284683 + 0.316172i
\(237\) −0.872950 + 0.752710i −0.0567042 + 0.0488938i
\(238\) −3.30710 0.561500i −0.214368 0.0363966i
\(239\) −6.08758 + 8.37884i −0.393773 + 0.541982i −0.959168 0.282839i \(-0.908724\pi\)
0.565395 + 0.824821i \(0.308724\pi\)
\(240\) −5.08102 4.77643i −0.327979 0.308317i
\(241\) −3.89479 + 2.24866i −0.250886 + 0.144849i −0.620170 0.784468i \(-0.712936\pi\)
0.369284 + 0.929317i \(0.379603\pi\)
\(242\) −4.24058 + 1.87907i −0.272595 + 0.120791i
\(243\) −1.67019 + 15.4987i −0.107143 + 0.994244i
\(244\) 2.03671 0.661767i 0.130387 0.0423653i
\(245\) 3.67264 + 8.76780i 0.234637 + 0.560154i
\(246\) −0.321803 3.85657i −0.0205174 0.245886i
\(247\) −2.52476 2.80403i −0.160647 0.178416i
\(248\) −6.85168 + 1.45637i −0.435082 + 0.0924795i
\(249\) 17.4504 + 25.1360i 1.10587 + 1.59293i
\(250\) −1.89951 4.26637i −0.120136 0.269829i
\(251\) 8.19822 + 25.2315i 0.517467 + 1.59260i 0.778748 + 0.627337i \(0.215855\pi\)
−0.261281 + 0.965263i \(0.584145\pi\)
\(252\) −13.7479 4.49253i −0.866034 0.283003i
\(253\) 6.94192 + 10.7103i 0.436435 + 0.673350i
\(254\) 3.21792 + 1.85787i 0.201910 + 0.116573i
\(255\) 6.77159 2.04058i 0.424054 0.127786i
\(256\) −0.375807 + 3.57556i −0.0234879 + 0.223473i
\(257\) −0.922608 8.77803i −0.0575507 0.547558i −0.984871 0.173289i \(-0.944560\pi\)
0.927320 0.374269i \(-0.122106\pi\)
\(258\) −2.98410 3.46080i −0.185782 0.215460i
\(259\) 16.7390 + 1.06373i 1.04011 + 0.0660968i
\(260\) 4.79523 + 6.60007i 0.297388 + 0.409319i
\(261\) 12.0392 15.1569i 0.745207 0.938189i
\(262\) 4.08257 + 3.67596i 0.252222 + 0.227102i
\(263\) 3.61114 2.08489i 0.222672 0.128560i −0.384515 0.923119i \(-0.625631\pi\)
0.607187 + 0.794559i \(0.292298\pi\)
\(264\) −1.65233 + 9.10970i −0.101694 + 0.560663i
\(265\) 0.455888i 0.0280050i
\(266\) 0.0526626 + 1.27571i 0.00322895 + 0.0782191i
\(267\) −11.0870 26.4139i −0.678515 1.61650i
\(268\) −2.76298 26.2880i −0.168776 1.60580i
\(269\) −4.08769 + 0.868866i −0.249231 + 0.0529757i −0.330833 0.943689i \(-0.607330\pi\)
0.0816020 + 0.996665i \(0.473996\pi\)
\(270\) −2.94413 + 0.430007i −0.179174 + 0.0261694i
\(271\) −19.9154 + 2.09319i −1.20977 + 0.127152i −0.687859 0.725845i \(-0.741449\pi\)
−0.521916 + 0.852997i \(0.674782\pi\)
\(272\) −7.21216 5.23994i −0.437301 0.317718i
\(273\) 13.2308 + 7.29364i 0.800766 + 0.441431i
\(274\) 7.16591 0.432908
\(275\) 5.70838 8.77318i 0.344228 0.529043i
\(276\) 12.1429 + 0.260745i 0.730916 + 0.0156950i
\(277\) 15.8893 17.6468i 0.954694 1.06030i −0.0434292 0.999057i \(-0.513828\pi\)
0.998123 0.0612386i \(-0.0195050\pi\)
\(278\) 3.28261 1.46151i 0.196878 0.0876556i
\(279\) 5.80979 11.6729i 0.347823 0.698839i
\(280\) 0.367236 5.77892i 0.0219466 0.345356i
\(281\) −12.2348 3.97534i −0.729869 0.237149i −0.0795724 0.996829i \(-0.525355\pi\)
−0.650297 + 0.759680i \(0.725355\pi\)
\(282\) −3.63710 1.71383i −0.216586 0.102057i
\(283\) 6.32626 + 0.664917i 0.376057 + 0.0395252i 0.290672 0.956823i \(-0.406121\pi\)
0.0853853 + 0.996348i \(0.472788\pi\)
\(284\) −6.83819 6.15713i −0.405772 0.365358i
\(285\) −1.29562 2.35967i −0.0767461 0.139775i
\(286\) 1.65608 4.30289i 0.0979262 0.254435i
\(287\) −10.0228 + 9.80265i −0.591625 + 0.578632i
\(288\) 9.57868 + 9.39989i 0.564429 + 0.553894i
\(289\) −7.27092 + 3.23722i −0.427701 + 0.190425i
\(290\) 3.37516 + 1.50272i 0.198196 + 0.0882426i
\(291\) 2.29412 6.57669i 0.134484 0.385532i
\(292\) −11.8481 + 10.6680i −0.693355 + 0.624300i
\(293\) 13.1261 9.53664i 0.766832 0.557136i −0.134166 0.990959i \(-0.542836\pi\)
0.900998 + 0.433823i \(0.142836\pi\)
\(294\) −1.87349 4.75670i −0.109264 0.277416i
\(295\) −1.50518 4.63247i −0.0876349 0.269713i
\(296\) −8.84837 5.10861i −0.514301 0.296932i
\(297\) −11.3650 12.9552i −0.659465 0.751735i
\(298\) 4.76742 + 8.25741i 0.276169 + 0.478339i
\(299\) −12.4099 2.63780i −0.717681 0.152548i
\(300\) −3.85497 9.18413i −0.222567 0.530246i
\(301\) −2.77104 + 16.3208i −0.159720 + 0.940714i
\(302\) −6.12458 1.99000i −0.352430 0.114511i
\(303\) −3.43700 18.0690i −0.197450 1.03804i
\(304\) −1.38015 + 3.09986i −0.0791568 + 0.177789i
\(305\) −1.58722 0.166823i −0.0908838 0.00955228i
\(306\) −3.66453 + 1.01900i −0.209487 + 0.0582525i
\(307\) 18.6366i 1.06365i −0.846856 0.531823i \(-0.821507\pi\)
0.846856 0.531823i \(-0.178493\pi\)
\(308\) 13.9424 7.82836i 0.794440 0.446062i
\(309\) 17.7280 29.2377i 1.00851 1.66327i
\(310\) 2.43433 + 0.517433i 0.138261 + 0.0293882i
\(311\) 0.982471 9.34758i 0.0557108 0.530053i −0.930703 0.365775i \(-0.880804\pi\)
0.986414 0.164278i \(-0.0525294\pi\)
\(312\) −5.24836 7.55988i −0.297130 0.427994i
\(313\) −5.07897 + 4.57313i −0.287081 + 0.258488i −0.800070 0.599906i \(-0.795205\pi\)
0.512990 + 0.858395i \(0.328538\pi\)
\(314\) −1.13109 + 3.48113i −0.0638310 + 0.196451i
\(315\) 7.99800 + 7.22583i 0.450636 + 0.407129i
\(316\) −0.981055 0.712778i −0.0551886 0.0400969i
\(317\) −0.988195 + 4.64909i −0.0555025 + 0.261119i −0.997146 0.0754919i \(-0.975947\pi\)
0.941644 + 0.336611i \(0.109281\pi\)
\(318\) 0.00526354 0.245123i 0.000295165 0.0137458i
\(319\) 3.32896 + 21.1389i 0.186386 + 1.18355i
\(320\) 2.74543 4.75522i 0.153474 0.265825i
\(321\) −13.3066 3.12842i −0.742703 0.174611i
\(322\) 2.66456 + 3.36619i 0.148490 + 0.187591i
\(323\) −2.02273 2.78405i −0.112548 0.154909i
\(324\) −16.2748 + 2.02122i −0.904155 + 0.112290i
\(325\) 2.16319 + 10.1770i 0.119992 + 0.564519i
\(326\) 1.21204 2.72229i 0.0671288 0.150774i
\(327\) 6.25882 + 0.794016i 0.346113 + 0.0439092i
\(328\) 8.12208 2.63902i 0.448467 0.145716i
\(329\) 3.61338 + 14.1101i 0.199212 + 0.777915i
\(330\) 1.85274 2.71799i 0.101990 0.149620i
\(331\) 6.56985 11.3793i 0.361112 0.625464i −0.627032 0.778993i \(-0.715731\pi\)
0.988144 + 0.153529i \(0.0490640\pi\)
\(332\) −21.5408 + 23.9235i −1.18221 + 1.31297i
\(333\) 17.6904 6.98261i 0.969427 0.382644i
\(334\) 9.27326 0.974659i 0.507410 0.0533310i
\(335\) −6.08732 + 18.7348i −0.332586 + 1.02359i
\(336\) 1.15255 13.5376i 0.0628766 0.738536i
\(337\) 20.2676 14.7253i 1.10405 0.802138i 0.122332 0.992489i \(-0.460963\pi\)
0.981716 + 0.190351i \(0.0609627\pi\)
\(338\) −0.365452 0.820818i −0.0198780 0.0446466i
\(339\) 1.08652 + 3.60557i 0.0590115 + 0.195827i
\(340\) 3.72024 + 6.44365i 0.201758 + 0.349456i
\(341\) 5.15398 + 13.4621i 0.279104 + 0.729011i
\(342\) 0.669390 + 1.28371i 0.0361965 + 0.0694152i
\(343\) −8.95288 + 16.2125i −0.483410 + 0.875394i
\(344\) 5.92731 8.15824i 0.319579 0.439863i
\(345\) −8.18804 3.85826i −0.440829 0.207722i
\(346\) 0.878261 + 4.13189i 0.0472156 + 0.222132i
\(347\) −2.10314 9.89450i −0.112903 0.531165i −0.997854 0.0654810i \(-0.979142\pi\)
0.884951 0.465684i \(-0.154192\pi\)
\(348\) 18.4213 + 8.68025i 0.987487 + 0.465310i
\(349\) −14.0704 + 19.3662i −0.753169 + 1.03665i 0.244582 + 0.969628i \(0.421349\pi\)
−0.997752 + 0.0670199i \(0.978651\pi\)
\(350\) 1.63309 3.11903i 0.0872926 0.166719i
\(351\) 17.0954 + 1.10262i 0.912482 + 0.0588537i
\(352\) −14.8172 + 0.763436i −0.789761 + 0.0406913i
\(353\) 12.2572 + 21.2302i 0.652387 + 1.12997i 0.982542 + 0.186041i \(0.0595657\pi\)
−0.330155 + 0.943927i \(0.607101\pi\)
\(354\) 0.755824 + 2.50818i 0.0401716 + 0.133308i
\(355\) 2.78921 + 6.26466i 0.148036 + 0.332494i
\(356\) 24.3817 17.7143i 1.29223 0.938857i
\(357\) 11.3055 + 7.87694i 0.598351 + 0.416892i
\(358\) −1.45057 + 4.46439i −0.0766649 + 0.235950i
\(359\) −21.9356 + 2.30553i −1.15772 + 0.121681i −0.663857 0.747860i \(-0.731082\pi\)
−0.493861 + 0.869541i \(0.664415\pi\)
\(360\) −2.41065 6.10735i −0.127052 0.321886i
\(361\) 11.8370 13.1463i 0.623001 0.691913i
\(362\) 0.562030 0.973465i 0.0295397 0.0511642i
\(363\) 19.0474 + 0.442617i 0.999730 + 0.0232314i
\(364\) −4.28396 + 15.3062i −0.224541 + 0.802261i
\(365\) 11.3000 3.67160i 0.591471 0.192181i
\(366\) 0.851494 + 0.108024i 0.0445083 + 0.00564648i
\(367\) 0.423524 0.951251i 0.0221078 0.0496549i −0.902154 0.431414i \(-0.858015\pi\)
0.924262 + 0.381759i \(0.124682\pi\)
\(368\) 2.37216 + 11.1601i 0.123657 + 0.581762i
\(369\) −5.55680 + 14.8938i −0.289276 + 0.775342i
\(370\) 2.13370 + 2.93679i 0.110926 + 0.152677i
\(371\) −0.696425 + 0.551265i −0.0361566 + 0.0286203i
\(372\) 13.3534 + 3.13942i 0.692341 + 0.162771i
\(373\) 14.8606 25.7393i 0.769452 1.33273i −0.168408 0.985717i \(-0.553863\pi\)
0.937860 0.347013i \(-0.112804\pi\)
\(374\) 1.91234 3.74500i 0.0988845 0.193649i
\(375\) −0.411832 + 19.1790i −0.0212669 + 0.990402i
\(376\) 1.84471 8.67870i 0.0951339 0.447570i
\(377\) −17.2092 12.5032i −0.886319 0.643948i
\(378\) −4.21696 3.97755i −0.216897 0.204583i
\(379\) 7.09953 21.8501i 0.364678 1.12236i −0.585504 0.810669i \(-0.699103\pi\)
0.950182 0.311695i \(-0.100897\pi\)
\(380\) 2.10464 1.89503i 0.107966 0.0972130i
\(381\) −8.70428 12.5379i −0.445934 0.642335i
\(382\) 1.14519 10.8958i 0.0585930 0.557475i
\(383\) −16.0890 3.41983i −0.822111 0.174745i −0.222393 0.974957i \(-0.571387\pi\)
−0.599717 + 0.800212i \(0.704720\pi\)
\(384\) −9.56571 + 15.7761i −0.488148 + 0.805072i
\(385\) −11.8651 + 1.10348i −0.604702 + 0.0562386i
\(386\) 5.68818i 0.289521i
\(387\) 5.02884 + 18.0847i 0.255631 + 0.919297i
\(388\) 7.28773 + 0.765971i 0.369978 + 0.0388863i
\(389\) 7.34867 16.5054i 0.372592 0.836856i −0.625790 0.779992i \(-0.715223\pi\)
0.998382 0.0568639i \(-0.0181101\pi\)
\(390\) 0.611005 + 3.21217i 0.0309394 + 0.162655i
\(391\) −11.0047 3.57565i −0.556533 0.180828i
\(392\) 9.27206 6.42693i 0.468310 0.324609i
\(393\) −8.73382 20.8075i −0.440563 1.04960i
\(394\) −9.43439 2.00534i −0.475298 0.101028i
\(395\) 0.451861 + 0.782647i 0.0227356 + 0.0393792i
\(396\) 10.5313 14.7585i 0.529219 0.741642i
\(397\) −4.08822 2.36034i −0.205182 0.118462i 0.393888 0.919158i \(-0.371130\pi\)
−0.599070 + 0.800696i \(0.704463\pi\)
\(398\) −0.601002 1.84969i −0.0301255 0.0927168i
\(399\) 2.03800 4.83255i 0.102027 0.241930i
\(400\) 7.56965 5.49967i 0.378482 0.274984i
\(401\) −3.62151 + 3.26083i −0.180850 + 0.162838i −0.754584 0.656204i \(-0.772161\pi\)
0.573734 + 0.819042i \(0.305494\pi\)
\(402\) 3.48935 10.0031i 0.174033 0.498910i
\(403\) −13.0901 5.82811i −0.652066 0.290319i
\(404\) 17.6774 7.87048i 0.879483 0.391571i
\(405\) 11.6928 + 3.55712i 0.581021 + 0.176755i
\(406\) 1.78569 + 6.97307i 0.0886225 + 0.346067i
\(407\) −7.55229 + 19.6226i −0.374353 + 0.972659i
\(408\) −4.03974 7.35743i −0.199997 0.364247i
\(409\) −17.9448 16.1575i −0.887311 0.798939i 0.0931497 0.995652i \(-0.470306\pi\)
−0.980461 + 0.196713i \(0.936973\pi\)
\(410\) −3.01758 0.317160i −0.149027 0.0156634i
\(411\) −26.6273 12.5470i −1.31343 0.618897i
\(412\) 34.2115 + 11.1160i 1.68548 + 0.547646i
\(413\) 5.25657 7.90097i 0.258659 0.388781i
\(414\) 4.35802 + 2.16906i 0.214185 + 0.106603i
\(415\) 21.9170 9.75808i 1.07586 0.479005i
\(416\) 9.86858 10.9602i 0.483847 0.537367i
\(417\) −14.7566 0.316869i −0.722635 0.0155172i
\(418\) −1.54565 0.415617i −0.0756003 0.0203285i
\(419\) −40.2712 −1.96738 −0.983688 0.179886i \(-0.942427\pi\)
−0.983688 + 0.179886i \(0.942427\pi\)
\(420\) −5.47444 + 9.93076i −0.267126 + 0.484572i
\(421\) 21.9870 + 15.9745i 1.07158 + 0.778548i 0.976196 0.216892i \(-0.0695920\pi\)
0.0953843 + 0.995441i \(0.469592\pi\)
\(422\) 7.33735 0.771187i 0.357177 0.0375408i
\(423\) 10.5141 + 12.7366i 0.511212 + 0.619274i
\(424\) 0.529228 0.112491i 0.0257016 0.00546304i
\(425\) 0.991884 + 9.43714i 0.0481134 + 0.457769i
\(426\) −1.42738 3.40060i −0.0691567 0.164760i
\(427\) −1.66444 2.62639i −0.0805478 0.127100i
\(428\) 14.3809i 0.695127i
\(429\) −13.6878 + 13.0892i −0.660852 + 0.631951i
\(430\) −3.10279 + 1.79140i −0.149630 + 0.0863888i
\(431\) 20.1764 + 18.1669i 0.971865 + 0.875071i 0.992192 0.124723i \(-0.0398041\pi\)
−0.0203270 + 0.999793i \(0.506471\pi\)
\(432\) −5.34722 14.4479i −0.257268 0.695127i
\(433\) 5.28451 + 7.27351i 0.253957 + 0.349542i 0.916892 0.399135i \(-0.130689\pi\)
−0.662935 + 0.748677i \(0.730689\pi\)
\(434\) 2.15318 + 4.34442i 0.103356 + 0.208539i
\(435\) −9.91039 11.4935i −0.475167 0.551071i
\(436\) 0.693793 + 6.60100i 0.0332267 + 0.316131i
\(437\) −0.460375 + 4.38017i −0.0220227 + 0.209532i
\(438\) −6.11823 + 1.84369i −0.292340 + 0.0880950i
\(439\) 7.73048 + 4.46320i 0.368956 + 0.213017i 0.673002 0.739641i \(-0.265004\pi\)
−0.304046 + 0.952657i \(0.598338\pi\)
\(440\) 6.77444 + 2.60732i 0.322959 + 0.124299i
\(441\) −1.36706 + 20.9555i −0.0650982 + 0.997879i
\(442\) 1.29167 + 3.97534i 0.0614383 + 0.189088i
\(443\) 9.93326 + 22.3105i 0.471944 + 1.06000i 0.980058 + 0.198713i \(0.0636761\pi\)
−0.508114 + 0.861290i \(0.669657\pi\)
\(444\) 11.4105 + 16.4360i 0.541517 + 0.780016i
\(445\) −21.9690 + 4.66965i −1.04143 + 0.221363i
\(446\) −4.38802 4.87339i −0.207779 0.230762i
\(447\) −3.25683 39.0306i −0.154043 1.84608i
\(448\) 10.5840 1.55609i 0.500046 0.0735182i
\(449\) −16.7594 + 5.44545i −0.790924 + 0.256987i −0.676497 0.736445i \(-0.736503\pi\)
−0.114426 + 0.993432i \(0.536503\pi\)
\(450\) 0.171366 3.98842i 0.00807827 0.188016i
\(451\) −7.96482 15.6660i −0.375049 0.737682i
\(452\) −3.43095 + 1.98086i −0.161378 + 0.0931718i
\(453\) 19.2736 + 18.1182i 0.905553 + 0.851267i
\(454\) 0.718294 0.988647i 0.0337112 0.0463995i
\(455\) 7.55618 9.12214i 0.354239 0.427652i
\(456\) −2.41957 + 2.08630i −0.113307 + 0.0977000i
\(457\) −2.86109 3.17756i −0.133836 0.148640i 0.672501 0.740096i \(-0.265220\pi\)
−0.806337 + 0.591456i \(0.798553\pi\)
\(458\) −7.82446 3.48367i −0.365613 0.162781i
\(459\) 15.4010 + 2.62988i 0.718856 + 0.122752i
\(460\) 1.97987 9.31456i 0.0923120 0.434294i
\(461\) −7.87785 −0.366908 −0.183454 0.983028i \(-0.558728\pi\)
−0.183454 + 0.983028i \(0.558728\pi\)
\(462\) 6.39241 0.456332i 0.297402 0.0212305i
\(463\) −36.9233 −1.71597 −0.857986 0.513673i \(-0.828285\pi\)
−0.857986 + 0.513673i \(0.828285\pi\)
\(464\) −3.97726 + 18.7115i −0.184640 + 0.868662i
\(465\) −8.13959 6.18503i −0.377464 0.286824i
\(466\) −1.38059 0.614678i −0.0639546 0.0284744i
\(467\) 22.6736 + 25.1816i 1.04921 + 1.16527i 0.985911 + 0.167272i \(0.0534958\pi\)
0.0632999 + 0.997995i \(0.479838\pi\)
\(468\) 2.98691 + 17.7733i 0.138070 + 0.821571i
\(469\) −35.9806 + 13.3552i −1.66143 + 0.616688i
\(470\) −1.85290 + 2.55030i −0.0854678 + 0.117636i
\(471\) 10.2981 10.9549i 0.474513 0.504773i
\(472\) −5.00629 + 2.89038i −0.230433 + 0.133041i
\(473\) −18.4818 9.43750i −0.849795 0.433937i
\(474\) −0.233922 0.426033i −0.0107444 0.0195683i
\(475\) 3.43508 1.11612i 0.157612 0.0512113i
\(476\) −5.34490 + 13.4748i −0.244983 + 0.617618i
\(477\) −0.448752 + 0.901622i −0.0205469 + 0.0412825i
\(478\) −2.92213 3.24535i −0.133655 0.148439i
\(479\) 13.5439 2.87884i 0.618835 0.131538i 0.112182 0.993688i \(-0.464216\pi\)
0.506653 + 0.862150i \(0.330883\pi\)
\(480\) 8.64339 6.00058i 0.394515 0.273888i
\(481\) −8.50095 19.0935i −0.387610 0.870587i
\(482\) −0.586001 1.80353i −0.0266916 0.0821484i
\(483\) −4.00710 17.1737i −0.182330 0.781429i
\(484\) 4.13284 + 19.6135i 0.187857 + 0.891524i
\(485\) −4.72942 2.73053i −0.214752 0.123987i
\(486\) −6.24596 2.04760i −0.283322 0.0928812i
\(487\) −0.969085 + 9.22023i −0.0439134 + 0.417808i 0.950377 + 0.311101i \(0.100698\pi\)
−0.994290 + 0.106708i \(0.965969\pi\)
\(488\) 0.197987 + 1.88372i 0.00896244 + 0.0852719i
\(489\) −9.27028 + 7.99339i −0.419216 + 0.361473i
\(490\) −3.93821 + 0.746109i −0.177910 + 0.0337058i
\(491\) 11.2368 + 15.4661i 0.507108 + 0.697974i 0.983428 0.181298i \(-0.0580297\pi\)
−0.476320 + 0.879272i \(0.658030\pi\)
\(492\) −16.5911 2.10481i −0.747985 0.0948921i
\(493\) −14.4174 12.9815i −0.649327 0.584656i
\(494\) 1.37785 0.795503i 0.0619925 0.0357914i
\(495\) −11.6435 + 6.85558i −0.523335 + 0.308135i
\(496\) 12.8859i 0.578596i
\(497\) −6.19729 + 11.8361i −0.277986 + 0.530923i
\(498\) −11.8971 + 4.99371i −0.533120 + 0.223773i
\(499\) 2.23875 + 21.3003i 0.100220 + 0.953531i 0.922903 + 0.385031i \(0.125809\pi\)
−0.822683 + 0.568500i \(0.807524\pi\)
\(500\) −19.7409 + 4.19606i −0.882841 + 0.187654i
\(501\) −36.1645 12.6151i −1.61571 0.563602i
\(502\) −11.1254 + 1.16932i −0.496549 + 0.0521894i
\(503\) 21.0872 + 15.3208i 0.940232 + 0.683119i 0.948477 0.316847i \(-0.102624\pi\)
−0.00824425 + 0.999966i \(0.502624\pi\)
\(504\) 6.41474 11.0676i 0.285735 0.492991i
\(505\) −14.4207 −0.641715
\(506\) −5.02599 + 1.92421i −0.223433 + 0.0855418i
\(507\) −0.0792334 + 3.68990i −0.00351888 + 0.163874i
\(508\) 10.7446 11.9331i 0.476715 0.529445i
\(509\) −10.9232 + 4.86330i −0.484160 + 0.215562i −0.634276 0.773106i \(-0.718702\pi\)
0.150116 + 0.988668i \(0.452035\pi\)
\(510\) 0.247976 + 2.97181i 0.0109806 + 0.131594i
\(511\) 19.2729 + 12.8224i 0.852584 + 0.567231i
\(512\) −21.7029 7.05170i −0.959142 0.311644i
\(513\) −0.239660 5.94211i −0.0105812 0.262351i
\(514\) 3.70134 + 0.389027i 0.163259 + 0.0171592i
\(515\) −19.9223 17.9381i −0.877881 0.790447i
\(516\) −17.3102 + 9.50451i −0.762039 + 0.418413i
\(517\) −18.2329 0.971667i −0.801880 0.0427339i
\(518\) −1.90621 + 6.81069i −0.0837540 + 0.299245i
\(519\) 3.97117 16.8912i 0.174315 0.741441i
\(520\) −6.59174 + 2.93483i −0.289067 + 0.128701i
\(521\) 7.48198 + 3.33119i 0.327792 + 0.145942i 0.564033 0.825752i \(-0.309249\pi\)
−0.236242 + 0.971694i \(0.575916\pi\)
\(522\) 5.19595 + 6.29428i 0.227420 + 0.275493i
\(523\) −5.69938 + 5.13174i −0.249216 + 0.224395i −0.784265 0.620426i \(-0.786960\pi\)
0.535049 + 0.844821i \(0.320293\pi\)
\(524\) 19.2067 13.9545i 0.839048 0.609604i
\(525\) −11.5295 + 8.73038i −0.503189 + 0.381025i
\(526\) 0.543323 + 1.67218i 0.0236900 + 0.0729104i
\(527\) −11.3176 6.53423i −0.493003 0.284636i
\(528\) 15.7600 + 6.45744i 0.685867 + 0.281024i
\(529\) −4.09543 7.09350i −0.178062 0.308413i
\(530\) −0.188029 0.0399668i −0.00816747 0.00173605i
\(531\) 1.58311 10.6434i 0.0687012 0.461882i
\(532\) 5.43985 + 0.923609i 0.235847 + 0.0400435i
\(533\) 16.6146 + 5.39840i 0.719657 + 0.233831i
\(534\) 11.8663 2.25715i 0.513503 0.0976762i
\(535\) −4.35912 + 9.79075i −0.188461 + 0.423291i
\(536\) 23.2508 + 2.44375i 1.00428 + 0.105554i
\(537\) 13.2069 14.0491i 0.569919 0.606263i
\(538\) 1.76212i 0.0759705i
\(539\) −16.0331 16.7910i −0.690595 0.723242i
\(540\) −0.827604 + 12.8314i −0.0356144 + 0.552175i
\(541\) 8.39203 + 1.78378i 0.360801 + 0.0766907i 0.384746 0.923023i \(-0.374289\pi\)
−0.0239444 + 0.999713i \(0.507622\pi\)
\(542\) 0.882615 8.39752i 0.0379116 0.360705i
\(543\) −3.79288 + 2.63316i −0.162768 + 0.113000i
\(544\) 9.99603 9.00047i 0.428576 0.385892i
\(545\) 1.52854 4.70437i 0.0654756 0.201513i
\(546\) −4.16815 + 4.81758i −0.178380 + 0.206173i
\(547\) −1.09951 0.798839i −0.0470116 0.0341559i 0.564031 0.825753i \(-0.309250\pi\)
−0.611043 + 0.791597i \(0.709250\pi\)
\(548\) 6.43850 30.2908i 0.275039 1.29396i
\(549\) −2.97487 1.89230i −0.126964 0.0807614i
\(550\) 3.11802 + 3.12352i 0.132953 + 0.133187i
\(551\) −3.69222 + 6.39511i −0.157294 + 0.272441i
\(552\) −2.45854 + 10.4573i −0.104642 + 0.445092i
\(553\) −0.649192 + 1.63666i −0.0276065 + 0.0695978i
\(554\) 5.88537 + 8.10052i 0.250046 + 0.344158i
\(555\) −2.78639 14.6486i −0.118276 0.621798i
\(556\) −3.22851 15.1889i −0.136919 0.644155i
\(557\) −2.18804 + 4.91441i −0.0927101 + 0.208230i −0.953948 0.299971i \(-0.903023\pi\)
0.861238 + 0.508202i \(0.169690\pi\)
\(558\) 4.30511 + 3.41956i 0.182250 + 0.144762i
\(559\) 19.6186 6.37446i 0.829777 0.269611i
\(560\) −10.2581 2.87109i −0.433485 0.121326i
\(561\) −13.6631 + 10.5674i −0.576858 + 0.446158i
\(562\) 2.71222 4.69769i 0.114408 0.198160i
\(563\) 15.2340 16.9190i 0.642035 0.713052i −0.331020 0.943624i \(-0.607393\pi\)
0.973055 + 0.230571i \(0.0740595\pi\)
\(564\) −10.5123 + 13.8344i −0.442650 + 0.582533i
\(565\) 2.93628 0.308616i 0.123530 0.0129836i
\(566\) −0.828852 + 2.55095i −0.0348393 + 0.107224i
\(567\) 8.70514 + 22.1635i 0.365582 + 0.930779i
\(568\) 6.58422 4.78372i 0.276268 0.200720i
\(569\) 12.2642 + 27.5459i 0.514142 + 1.15478i 0.965015 + 0.262194i \(0.0844460\pi\)
−0.450873 + 0.892588i \(0.648887\pi\)
\(570\) 1.08682 0.327507i 0.0455218 0.0137177i
\(571\) 9.77351 + 16.9282i 0.409009 + 0.708424i 0.994779 0.102053i \(-0.0325413\pi\)
−0.585770 + 0.810477i \(0.699208\pi\)
\(572\) −16.7006 10.8665i −0.698289 0.454350i
\(573\) −23.3330 + 38.4817i −0.974750 + 1.60760i
\(574\) −3.16438 4.99323i −0.132079 0.208413i
\(575\) 7.13842 9.82519i 0.297692 0.409739i
\(576\) 10.1105 6.70207i 0.421270 0.279253i
\(577\) −6.36614 29.9503i −0.265026 1.24685i −0.886247 0.463213i \(-0.846696\pi\)
0.621221 0.783635i \(-0.286637\pi\)
\(578\) −0.697751 3.28266i −0.0290226 0.136541i
\(579\) 9.95959 21.1364i 0.413906 0.878397i
\(580\) 9.38463 12.9168i 0.389676 0.536343i
\(581\) 41.4089 + 21.6813i 1.71793 + 0.899492i
\(582\) 2.51141 + 1.52277i 0.104101 + 0.0631207i
\(583\) −0.398097 1.03982i −0.0164875 0.0430648i
\(584\) −7.05055 12.2119i −0.291754 0.505332i
\(585\) 3.35389 13.0057i 0.138666 0.537721i
\(586\) 2.78261 + 6.24984i 0.114949 + 0.258179i
\(587\) −16.3273 + 11.8625i −0.673900 + 0.489617i −0.871329 0.490700i \(-0.836741\pi\)
0.197428 + 0.980317i \(0.436741\pi\)
\(588\) −21.7902 + 3.64550i −0.898613 + 0.150338i
\(589\) −1.53713 + 4.73080i −0.0633364 + 0.194929i
\(590\) 2.04260 0.214685i 0.0840923 0.00883846i
\(591\) 31.5454 + 23.9704i 1.29761 + 0.986012i
\(592\) −12.5767 + 13.9679i −0.516900 + 0.574076i
\(593\) −4.31511 + 7.47400i −0.177201 + 0.306920i −0.940921 0.338627i \(-0.890037\pi\)
0.763720 + 0.645548i \(0.223371\pi\)
\(594\) 6.33965 3.55170i 0.260119 0.145728i
\(595\) 7.72337 7.55375i 0.316627 0.309674i
\(596\) 39.1881 12.7330i 1.60521 0.521564i
\(597\) −1.00545 + 7.92547i −0.0411505 + 0.324368i
\(598\) 2.17590 4.88714i 0.0889790 0.199850i
\(599\) 2.24091 + 10.5427i 0.0915611 + 0.430761i 0.999921 + 0.0125718i \(0.00400183\pi\)
−0.908360 + 0.418189i \(0.862665\pi\)
\(600\) 8.65440 1.64620i 0.353314 0.0672058i
\(601\) −7.11614 9.79453i −0.290274 0.399527i 0.638829 0.769348i \(-0.279419\pi\)
−0.929103 + 0.369821i \(0.879419\pi\)
\(602\) −6.48850 2.57371i −0.264452 0.104897i
\(603\) −30.4806 + 31.0603i −1.24127 + 1.26487i
\(604\) −13.9147 + 24.1010i −0.566182 + 0.980656i
\(605\) 3.13153 14.6060i 0.127315 0.593817i
\(606\) 7.75379 + 0.166497i 0.314976 + 0.00676349i
\(607\) 1.12936 5.31323i 0.0458394 0.215657i −0.949266 0.314473i \(-0.898172\pi\)
0.995106 + 0.0988159i \(0.0315055\pi\)
\(608\) −4.14206 3.00938i −0.167983 0.122046i
\(609\) 5.57398 29.0374i 0.225869 1.17665i
\(610\) 0.207954 0.640016i 0.00841980 0.0259135i
\(611\) 13.4879 12.1446i 0.545663 0.491317i
\(612\) 1.01484 + 16.4058i 0.0410227 + 0.663164i
\(613\) 1.14766 10.9193i 0.0463536 0.441025i −0.946590 0.322439i \(-0.895497\pi\)
0.992944 0.118586i \(-0.0378361\pi\)
\(614\) 7.68658 + 1.63383i 0.310205 + 0.0659361i
\(615\) 10.6575 + 6.46207i 0.429752 + 0.260576i
\(616\) 4.20872 + 13.5016i 0.169574 + 0.543994i
\(617\) 27.3242i 1.10003i −0.835154 0.550015i \(-0.814622\pi\)
0.835154 0.550015i \(-0.185378\pi\)
\(618\) 10.5048 + 9.87503i 0.422564 + 0.397232i
\(619\) 40.9453 + 4.30353i 1.64573 + 0.172973i 0.881570 0.472053i \(-0.156487\pi\)
0.764161 + 0.645026i \(0.223153\pi\)
\(620\) 4.37445 9.82517i 0.175682 0.394588i
\(621\) −12.3958 15.6904i −0.497428 0.629636i
\(622\) 3.76924 + 1.22470i 0.151133 + 0.0491060i
\(623\) −33.6986 27.9137i −1.35011 1.11834i
\(624\) −15.6106 + 6.55245i −0.624925 + 0.262308i
\(625\) −0.722651 0.153604i −0.0289060 0.00614417i
\(626\) −1.44090 2.49572i −0.0575901 0.0997489i
\(627\) 5.01567 + 4.25069i 0.200307 + 0.169756i
\(628\) 13.6987 + 7.90894i 0.546637 + 0.315601i
\(629\) −5.89043 18.1289i −0.234867 0.722846i
\(630\) −3.68143 + 2.66527i −0.146672 + 0.106187i
\(631\) −1.95104 + 1.41751i −0.0776696 + 0.0564303i −0.625942 0.779869i \(-0.715286\pi\)
0.548273 + 0.836300i \(0.315286\pi\)
\(632\) 0.797055 0.717671i 0.0317051 0.0285474i
\(633\) −28.6147 9.98156i −1.13733 0.396732i
\(634\) −1.83086 0.815153i −0.0727129 0.0323739i
\(635\) −10.9322 + 4.86735i −0.433833 + 0.193155i
\(636\) −1.03142 0.242490i −0.0408986 0.00961537i
\(637\) 23.0722 + 0.512398i 0.914153 + 0.0203020i
\(638\) −9.01048 0.480188i −0.356728 0.0190108i
\(639\) −0.650302 + 15.1353i −0.0257255 + 0.598744i
\(640\) 10.7497 + 9.67909i 0.424920 + 0.382600i
\(641\) −11.9628 1.25734i −0.472501 0.0496619i −0.134714 0.990884i \(-0.543012\pi\)
−0.337787 + 0.941223i \(0.609678\pi\)
\(642\) 2.45687 5.21399i 0.0969648 0.205780i
\(643\) 20.0587 + 6.51748i 0.791040 + 0.257024i 0.676547 0.736400i \(-0.263476\pi\)
0.114493 + 0.993424i \(0.463476\pi\)
\(644\) 16.6232 8.23877i 0.655046 0.324653i
\(645\) 14.6661 1.22378i 0.577476 0.0481862i
\(646\) 1.32560 0.590195i 0.0521550 0.0232209i
\(647\) −7.73868 + 8.59467i −0.304239 + 0.337892i −0.875806 0.482664i \(-0.839669\pi\)
0.571567 + 0.820556i \(0.306336\pi\)
\(648\) 1.24415 14.4516i 0.0488746 0.567711i
\(649\) 7.47832 + 9.25163i 0.293550 + 0.363158i
\(650\) −4.38711 −0.172076
\(651\) −0.394089 19.9132i −0.0154456 0.780460i
\(652\) −10.4183 7.56933i −0.408012 0.296438i
\(653\) −0.0477949 + 0.00502345i −0.00187036 + 0.000196583i −0.105464 0.994423i \(-0.533633\pi\)
0.103593 + 0.994620i \(0.466966\pi\)
\(654\) −0.876186 + 2.51181i −0.0342616 + 0.0982196i
\(655\) −17.3061 + 3.67852i −0.676205 + 0.143732i
\(656\) −1.64218 15.6243i −0.0641162 0.610025i
\(657\) 25.9625 + 3.86171i 1.01289 + 0.150660i
\(658\) −6.13643 + 0.253317i −0.239223 + 0.00987533i
\(659\) 13.2804i 0.517331i −0.965967 0.258665i \(-0.916717\pi\)
0.965967 0.258665i \(-0.0832827\pi\)
\(660\) −9.82444 10.2737i −0.382416 0.399905i
\(661\) 12.5289 7.23356i 0.487318 0.281353i −0.236143 0.971718i \(-0.575883\pi\)
0.723461 + 0.690365i \(0.242550\pi\)
\(662\) 4.11738 + 3.70731i 0.160027 + 0.144089i
\(663\) 2.16091 17.0333i 0.0839227 0.661519i
\(664\) −16.7359 23.0350i −0.649479 0.893931i
\(665\) −3.42357 2.27773i −0.132760 0.0883265i
\(666\) 1.32906 + 7.90847i 0.0515002 + 0.306447i
\(667\) 2.59540 + 24.6936i 0.100494 + 0.956141i
\(668\) 4.21199 40.0744i 0.162967 1.55053i
\(669\) 7.77221 + 25.7918i 0.300491 + 0.997169i
\(670\) −7.19343 4.15313i −0.277907 0.160449i
\(671\) 3.76590 1.00551i 0.145381 0.0388173i
\(672\) 19.6183 + 5.94787i 0.756792 + 0.229444i
\(673\) −7.69340 23.6778i −0.296559 0.912714i −0.982693 0.185239i \(-0.940694\pi\)
0.686135 0.727474i \(-0.259306\pi\)
\(674\) 4.29656 + 9.65023i 0.165497 + 0.371713i
\(675\) −7.62020 + 14.5203i −0.293302 + 0.558886i
\(676\) −3.79801 + 0.807291i −0.146077 + 0.0310497i
\(677\) −15.5731 17.2956i −0.598521 0.664725i 0.365419 0.930843i \(-0.380926\pi\)
−0.963940 + 0.266118i \(0.914259\pi\)
\(678\) −1.58235 + 0.132036i −0.0607699 + 0.00507081i
\(679\) −1.54765 10.5266i −0.0593932 0.403972i
\(680\) −6.25874 + 2.03359i −0.240012 + 0.0779845i
\(681\) −4.40011 + 2.41597i −0.168613 + 0.0925802i
\(682\) −6.00421 + 0.945546i −0.229913 + 0.0362068i
\(683\) −17.1801 + 9.91892i −0.657377 + 0.379537i −0.791277 0.611458i \(-0.790583\pi\)
0.133900 + 0.990995i \(0.457250\pi\)
\(684\) 6.02777 1.67615i 0.230478 0.0640894i
\(685\) −13.5651 + 18.6708i −0.518297 + 0.713375i
\(686\) −5.90190 5.11390i −0.225336 0.195249i
\(687\) 22.9747 + 26.6448i 0.876541 + 1.01656i
\(688\) −12.4129 13.7859i −0.473238 0.525584i
\(689\) 1.01109 + 0.450166i 0.0385195 + 0.0171500i
\(690\) 2.30915 3.03888i 0.0879079 0.115688i
\(691\) −2.32478 + 10.9372i −0.0884388 + 0.416072i 0.911549 + 0.411191i \(0.134887\pi\)
−0.999988 + 0.00488097i \(0.998446\pi\)
\(692\) 18.2549 0.693946
\(693\) −24.5521 9.49698i −0.932659 0.360760i
\(694\) 4.26532 0.161909
\(695\) −2.40603 + 11.3195i −0.0912661 + 0.429373i
\(696\) −10.8971 + 14.3407i −0.413053 + 0.543583i
\(697\) 14.5554 + 6.48047i 0.551324 + 0.245465i
\(698\) −6.75398 7.50105i −0.255642 0.283919i
\(699\) 4.05379 + 4.70135i 0.153328 + 0.177821i
\(700\) −11.7170 9.70562i −0.442862 0.366838i
\(701\) 23.1316 31.8379i 0.873668 1.20250i −0.104466 0.994528i \(-0.533313\pi\)
0.978135 0.207973i \(-0.0666866\pi\)
\(702\) −1.95349 + 6.95424i −0.0737296 + 0.262471i
\(703\) −6.28347 + 3.62776i −0.236986 + 0.136824i
\(704\) −2.10952 + 13.2434i −0.0795055 + 0.499129i
\(705\) 11.3504 6.23219i 0.427482 0.234718i
\(706\) −9.83085 + 3.19424i −0.369989 + 0.120217i
\(707\) −17.4377 22.0294i −0.655813 0.828502i
\(708\) 11.2813 0.941346i 0.423978 0.0353780i
\(709\) 14.5697 + 16.1813i 0.547178 + 0.607703i 0.951777 0.306791i \(-0.0992554\pi\)
−0.404599 + 0.914494i \(0.632589\pi\)
\(710\) −2.82835 + 0.601185i −0.106146 + 0.0225621i
\(711\) 0.123263 + 1.99265i 0.00462273 + 0.0747302i
\(712\) 10.8417 + 24.3509i 0.406311 + 0.912589i
\(713\) 5.16849 + 15.9070i 0.193562 + 0.595721i
\(714\) −4.23994 + 3.97235i −0.158676 + 0.148662i
\(715\) 8.07623 + 12.4604i 0.302034 + 0.465991i
\(716\) 17.5679 + 10.1429i 0.656545 + 0.379056i
\(717\) 5.17577 + 17.1756i 0.193293 + 0.641435i
\(718\) 0.972148 9.24937i 0.0362803 0.345184i
\(719\) 0.813652 + 7.74138i 0.0303441 + 0.288705i 0.999162 + 0.0409308i \(0.0130323\pi\)
−0.968818 + 0.247774i \(0.920301\pi\)
\(720\) −11.9116 + 2.00181i −0.443919 + 0.0746032i
\(721\) 3.31240 52.1246i 0.123360 1.94122i
\(722\) 4.38442 + 6.03464i 0.163171 + 0.224586i
\(723\) −0.980357 + 7.72765i −0.0364599 + 0.287394i
\(724\) −3.60992 3.25039i −0.134162 0.120800i
\(725\) 17.6341 10.1811i 0.654916 0.378116i
\(726\) −1.85240 + 7.81722i −0.0687492 + 0.290124i
\(727\) 8.89125i 0.329758i 0.986314 + 0.164879i \(0.0527234\pi\)
−0.986314 + 0.164879i \(0.947277\pi\)
\(728\) −12.4541 6.52085i −0.461580 0.241679i
\(729\) 19.6237 + 18.5448i 0.726805 + 0.686843i
\(730\) 0.523685 + 4.98253i 0.0193825 + 0.184412i
\(731\) 18.4024 3.91156i 0.680639 0.144674i
\(732\) 1.22168 3.50226i 0.0451547 0.129447i
\(733\) 28.9136 3.03894i 1.06795 0.112246i 0.445789 0.895138i \(-0.352923\pi\)
0.622157 + 0.782892i \(0.286256\pi\)
\(734\) 0.355210 + 0.258075i 0.0131110 + 0.00952572i
\(735\) 15.9401 + 4.12310i 0.587961 + 0.152083i
\(736\) −17.2152 −0.634559
\(737\) −2.47556 48.0471i −0.0911884 1.76984i
\(738\) −5.65574 3.59759i −0.208191 0.132429i
\(739\) −4.43605 + 4.92674i −0.163183 + 0.181233i −0.819191 0.573521i \(-0.805577\pi\)
0.656008 + 0.754754i \(0.272244\pi\)
\(740\) 14.3311 6.38063i 0.526823 0.234556i
\(741\) −6.51274 + 0.543442i −0.239251 + 0.0199638i
\(742\) −0.166313 0.335566i −0.00610553 0.0123190i
\(743\) −0.878181 0.285338i −0.0322173 0.0104681i 0.292864 0.956154i \(-0.405392\pi\)
−0.325081 + 0.945686i \(0.605392\pi\)
\(744\) −5.17157 + 10.9752i −0.189599 + 0.402369i
\(745\) −30.5395 3.20983i −1.11888 0.117599i
\(746\) 9.31326 + 8.38570i 0.340983 + 0.307022i
\(747\) 52.9511 + 2.27509i 1.93738 + 0.0832412i
\(748\) −14.1121 11.4484i −0.515991 0.418595i
\(749\) −20.2276 + 5.17999i −0.739102 + 0.189273i
\(750\) −7.87421 1.85125i −0.287525 0.0675980i
\(751\) 17.6996 7.88035i 0.645866 0.287558i −0.0575435 0.998343i \(-0.518327\pi\)
0.703409 + 0.710785i \(0.251660\pi\)
\(752\) −14.9109 6.63876i −0.543745 0.242091i
\(753\) 43.3874 + 15.1347i 1.58112 + 0.551538i
\(754\) 6.66559 6.00173i 0.242747 0.218570i
\(755\) 16.7788 12.1905i 0.610645 0.443659i
\(756\) −20.6022 + 14.2516i −0.749296 + 0.518325i
\(757\) 10.1592 + 31.2669i 0.369243 + 1.13641i 0.947281 + 0.320404i \(0.103818\pi\)
−0.578038 + 0.816010i \(0.696182\pi\)
\(758\) 8.38957 + 4.84372i 0.304723 + 0.175932i
\(759\) 22.0449 + 1.65008i 0.800180 + 0.0598941i
\(760\) 1.25243 + 2.16928i 0.0454305 + 0.0786880i
\(761\) 18.7636 + 3.98832i 0.680178 + 0.144576i 0.535029 0.844833i \(-0.320301\pi\)
0.145149 + 0.989410i \(0.453634\pi\)
\(762\) 5.93428 2.49087i 0.214976 0.0902347i
\(763\) 9.03482 3.35354i 0.327083 0.121406i
\(764\) −45.0281 14.6305i −1.62906 0.529314i
\(765\) 4.28198 11.4769i 0.154815 0.414949i
\(766\) 2.82099 6.33604i 0.101926 0.228930i
\(767\) −11.7604 1.23607i −0.424643 0.0446317i
\(768\) 4.53717 + 4.26518i 0.163721 + 0.153906i
\(769\) 42.3186i 1.52605i −0.646370 0.763024i \(-0.723714\pi\)
0.646370 0.763024i \(-0.276286\pi\)
\(770\) 0.585064 4.99045i 0.0210843 0.179843i
\(771\) −13.0724 7.92633i −0.470792 0.285460i
\(772\) 24.0443 + 5.11078i 0.865374 + 0.183941i
\(773\) −3.32683 + 31.6527i −0.119658 + 1.13847i 0.755675 + 0.654947i \(0.227309\pi\)
−0.875333 + 0.483521i \(0.839358\pi\)
\(774\) −7.89982 + 0.488675i −0.283953 + 0.0175651i
\(775\) 10.1931 9.17795i 0.366149 0.329682i
\(776\) −2.00281 + 6.16401i −0.0718967 + 0.221275i
\(777\) 19.0082 21.9698i 0.681914 0.788161i
\(778\) 6.16332 + 4.47792i 0.220966 + 0.160541i
\(779\) 1.26089 5.93201i 0.0451760 0.212536i
\(780\) 14.1270 + 0.303351i 0.505829 + 0.0108617i
\(781\) −11.8323 11.8532i −0.423393 0.424140i
\(782\) 2.43952 4.22538i 0.0872372 0.151099i
\(783\) −8.28645 32.4862i −0.296134 1.16096i
\(784\) −8.01829 19.1423i −0.286368 0.683653i
\(785\) −6.92894 9.53687i −0.247304 0.340385i
\(786\) 9.34766 1.77807i 0.333420 0.0634216i
\(787\) 9.79574 + 46.0853i 0.349181 + 1.64277i 0.705724 + 0.708487i \(0.250622\pi\)
−0.356544 + 0.934279i \(0.616045\pi\)
\(788\) −16.9534 + 38.0780i −0.603940 + 1.35647i
\(789\) 0.908959 7.16486i 0.0323598 0.255076i
\(790\) −0.362413 + 0.117755i −0.0128941 + 0.00418954i
\(791\) 4.02203 + 4.11235i 0.143007 + 0.146218i
\(792\) 10.8315 + 11.8249i 0.384880 + 0.420181i
\(793\) −1.93728 + 3.35547i −0.0687950 + 0.119156i
\(794\) 1.33192 1.47924i 0.0472679 0.0524963i
\(795\) 0.628706 + 0.477735i 0.0222979 + 0.0169435i
\(796\) −8.35877 + 0.878542i −0.296269 + 0.0311391i
\(797\) −3.04666 + 9.37666i −0.107918 + 0.332138i −0.990404 0.138200i \(-0.955868\pi\)
0.882486 + 0.470339i \(0.155868\pi\)
\(798\) 1.81450 + 1.26422i 0.0642326 + 0.0447530i
\(799\) 13.3918 9.72973i 0.473769 0.344213i
\(800\) 5.74219 + 12.8972i 0.203017 + 0.455984i
\(801\) −48.0452 12.3898i −1.69759 0.437771i
\(802\) −1.02742 1.77955i −0.0362795 0.0628380i
\(803\) −22.5676 + 18.2420i −0.796394 + 0.643745i
\(804\) −39.1487 23.7374i −1.38067 0.837154i
\(805\) −13.8147 + 0.570282i −0.486903 + 0.0200998i
\(806\) 3.55136 4.88803i 0.125091 0.172174i
\(807\) −3.08535 + 6.54776i −0.108609 + 0.230492i
\(808\) 3.55833 + 16.7406i 0.125182 + 0.588933i
\(809\) −4.87085 22.9155i −0.171250 0.805667i −0.976971 0.213372i \(-0.931555\pi\)
0.805721 0.592295i \(-0.201778\pi\)
\(810\) −2.49220 + 4.51080i −0.0875671 + 0.158493i
\(811\) −20.2283 + 27.8419i −0.710312 + 0.977660i 0.289478 + 0.957185i \(0.406518\pi\)
−0.999790 + 0.0204759i \(0.993482\pi\)
\(812\) 31.0800 1.28301i 1.09070 0.0450249i
\(813\) −17.9831 + 29.6584i −0.630695 + 1.04017i
\(814\) −7.43118 4.83519i −0.260463 0.169473i
\(815\) 4.79853 + 8.31130i 0.168085 + 0.291132i
\(816\) −14.7841 + 4.45509i −0.517546 + 0.155959i
\(817\) −2.91265 6.54192i −0.101901 0.228873i
\(818\) 8.23728 5.98474i 0.288010 0.209251i
\(819\) 23.9234 10.6032i 0.835951 0.370506i
\(820\) −4.05192 + 12.4705i −0.141499 + 0.435490i
\(821\) −22.2599 + 2.33960i −0.776874 + 0.0816528i −0.484663 0.874701i \(-0.661058\pi\)
−0.292211 + 0.956354i \(0.594391\pi\)
\(822\) 7.50931 9.88235i 0.261917 0.344687i
\(823\) −4.19666 + 4.66086i −0.146286 + 0.162467i −0.811835 0.583887i \(-0.801531\pi\)
0.665548 + 0.746355i \(0.268198\pi\)
\(824\) −15.9080 + 27.5534i −0.554181 + 0.959869i
\(825\) −6.11698 17.0659i −0.212966 0.594159i
\(826\) 2.79789 + 2.86071i 0.0973509 + 0.0995369i
\(827\) −3.81674 + 1.24013i −0.132721 + 0.0431237i −0.374624 0.927177i \(-0.622228\pi\)
0.241903 + 0.970300i \(0.422228\pi\)
\(828\) 13.0844 16.4728i 0.454714 0.572468i
\(829\) 2.07183 4.65341i 0.0719577 0.161620i −0.873985 0.485952i \(-0.838473\pi\)
0.945943 + 0.324332i \(0.105140\pi\)
\(830\) 2.10326 + 9.89504i 0.0730051 + 0.343462i
\(831\) −7.68566 40.4051i −0.266613 1.40164i
\(832\) −7.83537 10.7845i −0.271643 0.373884i
\(833\) 20.8784 + 2.66431i 0.723395 + 0.0923129i
\(834\) 1.42438 6.05852i 0.0493221 0.209790i
\(835\) −15.0149 + 26.0066i −0.519612 + 0.899994i
\(836\) −3.14559 + 6.16014i −0.108793 + 0.213053i
\(837\) −10.0097 20.2445i −0.345985 0.699751i
\(838\) 3.53049 16.6097i 0.121959 0.573771i
\(839\) 6.31171 + 4.58572i 0.217904 + 0.158317i 0.691383 0.722489i \(-0.257002\pi\)
−0.473478 + 0.880805i \(0.657002\pi\)
\(840\) −7.58475 6.56230i −0.261699 0.226421i
\(841\) −3.90302 + 12.0122i −0.134587 + 0.414215i
\(842\) −8.51616 + 7.66798i −0.293486 + 0.264256i
\(843\) −18.3035 + 12.7070i −0.630405 + 0.437651i
\(844\) 3.33268 31.7084i 0.114716 1.09145i
\(845\) 2.83045 + 0.601631i 0.0973704 + 0.0206967i
\(846\) −6.17490 + 3.21989i −0.212297 + 0.110702i
\(847\) 26.0990 12.8779i 0.896774 0.442489i
\(848\) 0.995318i 0.0341794i
\(849\) 7.54640 8.02763i 0.258992 0.275508i
\(850\) −3.97926 0.418237i −0.136488 0.0143454i
\(851\) −9.92282 + 22.2870i −0.340150 + 0.763989i
\(852\) −15.6571 + 2.97821i −0.536402 + 0.102032i
\(853\) 27.6452 + 8.98245i 0.946552 + 0.307553i 0.741314 0.671159i \(-0.234203\pi\)
0.205238 + 0.978712i \(0.434203\pi\)
\(854\) 1.22916 0.456239i 0.0420610 0.0156122i
\(855\) −4.61188 0.685979i −0.157723 0.0234600i
\(856\) 12.4414 + 2.64450i 0.425239 + 0.0903873i
\(857\) 17.2926 + 29.9517i 0.590704 + 1.02313i 0.994138 + 0.108121i \(0.0344834\pi\)
−0.403433 + 0.915009i \(0.632183\pi\)
\(858\) −4.19859 6.79296i −0.143337 0.231908i
\(859\) 9.32795 + 5.38550i 0.318266 + 0.183751i 0.650619 0.759404i \(-0.274509\pi\)
−0.332354 + 0.943155i \(0.607843\pi\)
\(860\) 4.78452 + 14.7253i 0.163151 + 0.502127i
\(861\) 3.01556 + 24.0946i 0.102770 + 0.821142i
\(862\) −9.26170 + 6.72902i −0.315455 + 0.229191i
\(863\) 37.9813 34.1986i 1.29290 1.16413i 0.316397 0.948627i \(-0.397527\pi\)
0.976503 0.215505i \(-0.0691399\pi\)
\(864\) 23.0009 3.35941i 0.782506 0.114290i
\(865\) −12.4282 5.53340i −0.422572 0.188141i
\(866\) −3.46321 + 1.54192i −0.117685 + 0.0523966i
\(867\) −3.15497 + 13.4195i −0.107148 + 0.455751i
\(868\) 20.2988 5.19820i 0.688985 0.176438i
\(869\) −1.71407 1.39053i −0.0581457 0.0471704i
\(870\) 5.60927 3.07988i 0.190172 0.104418i
\(871\) 35.5401 + 32.0004i 1.20423 + 1.08429i
\(872\) −5.83833 0.613634i −0.197711 0.0207803i
\(873\) −6.66572 10.0556i −0.225600 0.340332i
\(874\) −1.76622 0.573881i −0.0597434 0.0194118i
\(875\) 13.0127 + 26.2555i 0.439909 + 0.887596i
\(876\) 2.29624 + 27.5187i 0.0775827 + 0.929770i
\(877\) −36.1410 + 16.0910i −1.22039 + 0.543355i −0.912895 0.408194i \(-0.866159\pi\)
−0.307499 + 0.951548i \(0.599492\pi\)
\(878\) −2.51854 + 2.79712i −0.0849966 + 0.0943983i
\(879\) 0.603296 28.0955i 0.0203487 0.947639i
\(880\) 7.28267 11.1927i 0.245499 0.377306i
\(881\) 12.6694 0.426844 0.213422 0.976960i \(-0.431539\pi\)
0.213422 + 0.976960i \(0.431539\pi\)
\(882\) −8.52314 2.40096i −0.286989 0.0808446i
\(883\) −26.0636 18.9363i −0.877112 0.637259i 0.0553742 0.998466i \(-0.482365\pi\)
−0.932486 + 0.361207i \(0.882365\pi\)
\(884\) 17.9646 1.88815i 0.604214 0.0635054i
\(885\) −7.96585 2.77870i −0.267769 0.0934049i
\(886\) −10.0727 + 2.14102i −0.338398 + 0.0719288i
\(887\) 0.211299 + 2.01037i 0.00709472 + 0.0675017i 0.997496 0.0707174i \(-0.0225288\pi\)
−0.990402 + 0.138219i \(0.955862\pi\)
\(888\) −16.3176 + 6.84919i −0.547582 + 0.229844i
\(889\) −20.6549 10.8147i −0.692742 0.362713i
\(890\) 9.47039i 0.317448i
\(891\) −29.7759 + 2.09726i −0.997529 + 0.0702609i
\(892\) −24.5427 + 14.1697i −0.821751 + 0.474438i
\(893\) −4.68231 4.21597i −0.156687 0.141082i
\(894\) 16.3835 + 2.07847i 0.547947 + 0.0695145i
\(895\) −8.88605 12.2306i −0.297028 0.408824i
\(896\) −1.78731 + 28.1256i −0.0597099 + 0.939609i
\(897\) −16.6423 + 14.3500i −0.555670 + 0.479132i
\(898\) −0.776691 7.38972i −0.0259185 0.246598i
\(899\) −2.93128 + 27.8892i −0.0977635 + 0.930158i
\(900\) −16.7054 4.30794i −0.556845 0.143598i
\(901\) 0.874179 + 0.504708i 0.0291231 + 0.0168143i
\(902\) 7.15962 1.91165i 0.238389 0.0636509i
\(903\) 19.6038 + 20.9244i 0.652374 + 0.696320i
\(904\) −1.08279 3.33249i −0.0360132 0.110837i
\(905\) 1.47244 + 3.30715i 0.0489455 + 0.109933i
\(906\) −9.16245 + 6.36092i −0.304402 + 0.211328i
\(907\) −29.4043 + 6.25008i −0.976355 + 0.207531i −0.668344 0.743852i \(-0.732997\pi\)
−0.308011 + 0.951383i \(0.599663\pi\)
\(908\) −3.53370 3.92457i −0.117270 0.130241i
\(909\) −28.5203 14.1950i −0.945958 0.470818i
\(910\) 3.09995 + 3.91623i 0.102762 + 0.129822i
\(911\) −37.7726 + 12.2731i −1.25146 + 0.406625i −0.858445 0.512906i \(-0.828569\pi\)
−0.393018 + 0.919531i \(0.628569\pi\)
\(912\) 2.82867 + 5.15174i 0.0936665 + 0.170591i
\(913\) −41.4685 + 41.3954i −1.37241 + 1.36999i
\(914\) 1.56140 0.901473i 0.0516464 0.0298181i
\(915\) −1.89334 + 2.01408i −0.0625920 + 0.0665835i
\(916\) −21.7559 + 29.9444i −0.718836 + 0.989392i
\(917\) −26.5461 21.9890i −0.876629 0.726142i
\(918\) −2.43485 + 6.12151i −0.0803622 + 0.202040i
\(919\) −2.19058 2.43289i −0.0722607 0.0802536i 0.705930 0.708281i \(-0.250529\pi\)
−0.778191 + 0.628028i \(0.783862\pi\)
\(920\) 7.69427 + 3.42571i 0.253673 + 0.112942i
\(921\) −25.7013 19.5297i −0.846888 0.643525i
\(922\) 0.690635 3.24918i 0.0227449 0.107006i
\(923\) 16.6482 0.547983
\(924\) 3.81457 27.4311i 0.125490 0.902418i
\(925\) 20.0067 0.657816
\(926\) 3.23699 15.2289i 0.106374 0.500451i
\(927\) −21.7435 55.0870i −0.714151 1.80930i
\(928\) −26.3683 11.7399i −0.865581 0.385382i
\(929\) −33.4078 37.1031i −1.09607 1.21731i −0.974419 0.224740i \(-0.927847\pi\)
−0.121654 0.992573i \(-0.538820\pi\)
\(930\) 3.26457 2.81491i 0.107049 0.0923044i
\(931\) −0.660313 7.98417i −0.0216409 0.261671i
\(932\) −3.83873 + 5.28356i −0.125742 + 0.173069i
\(933\) −11.8615 11.1504i −0.388328 0.365049i
\(934\) −12.3738 + 7.14402i −0.404883 + 0.233759i
\(935\) 6.13755 + 12.0719i 0.200719 + 0.394794i
\(936\) −15.9255 0.684255i −0.520543 0.0223656i
\(937\) −27.4360 + 8.91451i −0.896297 + 0.291224i −0.720708 0.693239i \(-0.756183\pi\)
−0.175589 + 0.984464i \(0.556183\pi\)
\(938\) −2.35396 16.0109i −0.0768596 0.522773i
\(939\) 0.984341 + 11.7966i 0.0321228 + 0.384967i
\(940\) 9.11545 + 10.1237i 0.297313 + 0.330200i
\(941\) 10.4899 2.22970i 0.341961 0.0726860i −0.0337303 0.999431i \(-0.510739\pi\)
0.375691 + 0.926745i \(0.377405\pi\)
\(942\) 3.61546 + 5.20781i 0.117798 + 0.169680i
\(943\) −8.29399 18.6286i −0.270089 0.606631i
\(944\) 3.28618 + 10.1138i 0.106956 + 0.329177i
\(945\) 18.3463 3.45778i 0.596804 0.112481i
\(946\) 5.51272 6.79538i 0.179234 0.220937i
\(947\) 48.4236 + 27.9574i 1.57356 + 0.908493i 0.995728 + 0.0923356i \(0.0294333\pi\)
0.577829 + 0.816158i \(0.303900\pi\)
\(948\) −2.01105 + 0.606017i −0.0653157 + 0.0196825i
\(949\) 3.01515 28.6872i 0.0978759 0.931227i
\(950\) 0.159194 + 1.51463i 0.00516494 + 0.0491411i
\(951\) 5.37591 + 6.23468i 0.174326 + 0.202173i
\(952\) −10.6747 7.10194i −0.345968 0.230175i
\(953\) 30.3608 + 41.7880i 0.983482 + 1.35365i 0.934932 + 0.354826i \(0.115460\pi\)
0.0485492 + 0.998821i \(0.484540\pi\)
\(954\) −0.332529 0.264129i −0.0107660 0.00855149i
\(955\) 26.2211 + 23.6096i 0.848494 + 0.763988i
\(956\) −16.3438 + 9.43611i −0.528597 + 0.305186i
\(957\) 32.6407 + 17.5610i 1.05512 + 0.567666i
\(958\) 5.83849i 0.188633i
\(959\) −44.9250 + 1.85454i −1.45070 + 0.0598864i
\(960\) −3.68083 8.76926i −0.118798 0.283027i
\(961\) −1.26583 12.0436i −0.0408334 0.388503i
\(962\) 8.62027 1.83230i 0.277929 0.0590756i
\(963\) −18.2586 + 15.0725i −0.588376 + 0.485706i
\(964\) −8.15014 + 0.856614i −0.262498 + 0.0275897i
\(965\) −14.8206 10.7678i −0.477092 0.346627i
\(966\) 7.43450 0.147131i 0.239201 0.00473386i
\(967\) −25.0917 −0.806896 −0.403448 0.915003i \(-0.632188\pi\)
−0.403448 + 0.915003i \(0.632188\pi\)
\(968\) −17.7283 0.0312677i −0.569810 0.00100498i
\(969\) −5.95910 0.127960i −0.191434 0.00411066i
\(970\) 1.54082 1.71125i 0.0494726 0.0549449i
\(971\) 49.2334 21.9201i 1.57997 0.703450i 0.585722 0.810512i \(-0.300811\pi\)
0.994252 + 0.107063i \(0.0341445\pi\)
\(972\) −14.2673 + 24.5623i −0.457623 + 0.787837i
\(973\) −20.2013 + 10.0122i −0.647624 + 0.320975i
\(974\) −3.71788 1.20801i −0.119129 0.0387072i
\(975\) 16.3018 + 7.68150i 0.522074 + 0.246005i
\(976\) 3.46529 + 0.364217i 0.110921 + 0.0116583i
\(977\) 9.24010 + 8.31982i 0.295617 + 0.266175i 0.803570 0.595210i \(-0.202931\pi\)
−0.507953 + 0.861385i \(0.669598\pi\)
\(978\) −2.48413 4.52425i −0.0794337 0.144670i
\(979\) 46.0305 29.8349i 1.47114 0.953526i
\(980\) −0.384595 + 17.3175i −0.0122854 + 0.553186i
\(981\) 7.65376 7.79934i 0.244366 0.249014i
\(982\) −7.36402 + 3.27867i −0.234995 + 0.104627i
\(983\) −0.308025 0.137142i −0.00982448 0.00437414i 0.401819 0.915719i \(-0.368378\pi\)
−0.411643 + 0.911345i \(0.635045\pi\)
\(984\) 4.87188 13.9665i 0.155310 0.445235i
\(985\) 23.0843 20.7852i 0.735528 0.662272i
\(986\) 6.61810 4.80833i 0.210763 0.153128i
\(987\) 23.2455 + 9.80315i 0.739912 + 0.312038i
\(988\) −2.12466 6.53902i −0.0675943 0.208034i
\(989\) −20.8525 12.0392i −0.663072 0.382825i
\(990\) −1.80679 5.40331i −0.0574237 0.171729i
\(991\) −9.17437 15.8905i −0.291433 0.504777i 0.682716 0.730684i \(-0.260799\pi\)
−0.974149 + 0.225907i \(0.927465\pi\)
\(992\) −19.0181 4.04242i −0.603826 0.128347i
\(993\) −8.80829 20.9850i −0.279523 0.665938i
\(994\) −4.33846 3.59369i −0.137608 0.113985i
\(995\) 5.95709 + 1.93558i 0.188852 + 0.0613619i
\(996\) 10.4193 + 54.7765i 0.330149 + 1.73566i
\(997\) 19.7450 44.3480i 0.625330 1.40451i −0.271630 0.962402i \(-0.587563\pi\)
0.896960 0.442112i \(-0.145771\pi\)
\(998\) −8.98147 0.943991i −0.284303 0.0298815i
\(999\) 8.90856 31.7137i 0.281854 1.00338i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 231.2.bc.a.5.13 224
3.2 odd 2 inner 231.2.bc.a.5.16 yes 224
7.3 odd 6 inner 231.2.bc.a.38.13 yes 224
11.9 even 5 inner 231.2.bc.a.152.16 yes 224
21.17 even 6 inner 231.2.bc.a.38.16 yes 224
33.20 odd 10 inner 231.2.bc.a.152.13 yes 224
77.31 odd 30 inner 231.2.bc.a.185.16 yes 224
231.185 even 30 inner 231.2.bc.a.185.13 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
231.2.bc.a.5.13 224 1.1 even 1 trivial
231.2.bc.a.5.16 yes 224 3.2 odd 2 inner
231.2.bc.a.38.13 yes 224 7.3 odd 6 inner
231.2.bc.a.38.16 yes 224 21.17 even 6 inner
231.2.bc.a.152.13 yes 224 33.20 odd 10 inner
231.2.bc.a.152.16 yes 224 11.9 even 5 inner
231.2.bc.a.185.13 yes 224 231.185 even 30 inner
231.2.bc.a.185.16 yes 224 77.31 odd 30 inner