Properties

Label 640.2.bm.a.221.43
Level $640$
Weight $2$
Character 640.221
Analytic conductor $5.110$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [640,2,Mod(21,640)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(640, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 13, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("640.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 640 = 2^{7} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 640.bm (of order \(32\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.11042572936\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 221.43
Character \(\chi\) \(=\) 640.221
Dual form 640.2.bm.a.501.43

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.763134 + 1.19064i) q^{2} +(-2.62320 - 0.258362i) q^{3} +(-0.835252 + 1.81724i) q^{4} +(-0.471397 - 0.881921i) q^{5} +(-1.69423 - 3.32045i) q^{6} +(0.894514 + 4.49703i) q^{7} +(-2.80109 + 0.392312i) q^{8} +(3.87205 + 0.770199i) q^{9} +O(q^{10})\) \(q+(0.763134 + 1.19064i) q^{2} +(-2.62320 - 0.258362i) q^{3} +(-0.835252 + 1.81724i) q^{4} +(-0.471397 - 0.881921i) q^{5} +(-1.69423 - 3.32045i) q^{6} +(0.894514 + 4.49703i) q^{7} +(-2.80109 + 0.392312i) q^{8} +(3.87205 + 0.770199i) q^{9} +(0.690312 - 1.23429i) q^{10} +(-2.43432 - 1.99780i) q^{11} +(2.66054 - 4.55118i) q^{12} +(0.202318 + 0.108141i) q^{13} +(-4.67171 + 4.49688i) q^{14} +(1.00871 + 2.43524i) q^{15} +(-2.60471 - 3.03570i) q^{16} +(0.635942 - 1.53530i) q^{17} +(2.03787 + 5.19799i) q^{18} +(-6.29184 + 1.90861i) q^{19} +(1.99640 - 0.120014i) q^{20} +(-1.18462 - 12.0277i) q^{21} +(0.520943 - 4.42299i) q^{22} +(1.91576 - 1.28007i) q^{23} +(7.44916 - 0.305416i) q^{24} +(-0.555570 + 0.831470i) q^{25} +(0.0256384 + 0.323414i) q^{26} +(-2.39100 - 0.725303i) q^{27} +(-8.91931 - 2.13060i) q^{28} +(-4.93048 - 6.00781i) q^{29} +(-2.12972 + 3.05943i) q^{30} +(3.13804 - 3.13804i) q^{31} +(1.62669 - 5.41792i) q^{32} +(5.86955 + 5.86955i) q^{33} +(2.31330 - 0.414462i) q^{34} +(3.54435 - 2.90877i) q^{35} +(-4.63378 + 6.39313i) q^{36} +(2.62619 - 8.65738i) q^{37} +(-7.07399 - 6.03480i) q^{38} +(-0.502780 - 0.335947i) q^{39} +(1.66641 + 2.28540i) q^{40} +(-2.50918 - 3.75525i) q^{41} +(13.4166 - 10.5892i) q^{42} +(5.63510 - 0.555009i) q^{43} +(5.66374 - 2.75508i) q^{44} +(-1.14602 - 3.77792i) q^{45} +(2.98608 + 1.30412i) q^{46} +(-11.0074 - 4.55942i) q^{47} +(6.04835 + 8.63620i) q^{48} +(-12.9559 + 5.36653i) q^{49} +(-1.41396 - 0.0269616i) q^{50} +(-2.06486 + 3.86309i) q^{51} +(-0.365504 + 0.277334i) q^{52} +(-0.888015 + 1.08205i) q^{53} +(-0.961081 - 3.40033i) q^{54} +(-0.614368 + 3.08863i) q^{55} +(-4.26985 - 12.2456i) q^{56} +(16.9978 - 3.38108i) q^{57} +(3.39052 - 10.4552i) q^{58} +(-8.90062 + 4.75748i) q^{59} +(-5.26795 - 0.200973i) q^{60} +(-1.38381 + 14.0501i) q^{61} +(6.13102 + 1.34153i) q^{62} +18.1017i q^{63} +(7.69218 - 2.19780i) q^{64} -0.229406i q^{65} +(-2.50927 + 11.4678i) q^{66} +(-1.13343 + 11.5079i) q^{67} +(2.25883 + 2.43802i) q^{68} +(-5.35613 + 2.86291i) q^{69} +(6.16812 + 2.00026i) q^{70} +(-9.07252 + 1.80464i) q^{71} +(-11.1481 - 0.638342i) q^{72} +(0.122829 - 0.617502i) q^{73} +(12.3120 - 3.47990i) q^{74} +(1.67219 - 2.03757i) q^{75} +(1.78687 - 13.0279i) q^{76} +(6.80661 - 12.7343i) q^{77} +(0.0163033 - 0.855002i) q^{78} +(9.87774 - 4.09150i) q^{79} +(-1.44940 + 3.72817i) q^{80} +(-4.85751 - 2.01204i) q^{81} +(2.55631 - 5.85329i) q^{82} +(-1.51380 - 4.99033i) q^{83} +(22.8466 + 7.89341i) q^{84} +(-1.65379 + 0.162885i) q^{85} +(4.96116 + 6.28584i) q^{86} +(11.3814 + 17.0335i) q^{87} +(7.60251 + 4.64099i) q^{88} +(4.70001 + 3.14045i) q^{89} +(3.62358 - 4.24755i) q^{90} +(-0.305337 + 1.00656i) q^{91} +(0.726050 + 4.55057i) q^{92} +(-9.04244 + 7.42094i) q^{93} +(-2.97151 - 16.5853i) q^{94} +(4.64920 + 4.64920i) q^{95} +(-5.66691 + 13.7920i) q^{96} +(-4.23813 + 4.23813i) q^{97} +(-16.2767 - 11.3305i) q^{98} +(-7.88712 - 9.61049i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 192 q^{52} - 128 q^{54} - 32 q^{56} - 288 q^{58} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 288 q^{72} - 32 q^{74} - 128 q^{76} - 192 q^{78}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).

\(n\) \(257\) \(261\) \(511\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.763134 + 1.19064i 0.539618 + 0.841910i
\(3\) −2.62320 0.258362i −1.51450 0.149166i −0.693653 0.720309i \(-0.744000\pi\)
−0.820850 + 0.571144i \(0.806500\pi\)
\(4\) −0.835252 + 1.81724i −0.417626 + 0.908619i
\(5\) −0.471397 0.881921i −0.210815 0.394407i
\(6\) −1.69423 3.32045i −0.691669 1.35557i
\(7\) 0.894514 + 4.49703i 0.338095 + 1.69972i 0.658619 + 0.752476i \(0.271141\pi\)
−0.320525 + 0.947240i \(0.603859\pi\)
\(8\) −2.80109 + 0.392312i −0.990334 + 0.138703i
\(9\) 3.87205 + 0.770199i 1.29068 + 0.256733i
\(10\) 0.690312 1.23429i 0.218296 0.390316i
\(11\) −2.43432 1.99780i −0.733975 0.602358i 0.191354 0.981521i \(-0.438712\pi\)
−0.925330 + 0.379163i \(0.876212\pi\)
\(12\) 2.66054 4.55118i 0.768030 1.31381i
\(13\) 0.202318 + 0.108141i 0.0561128 + 0.0299929i 0.499215 0.866478i \(-0.333622\pi\)
−0.443102 + 0.896471i \(0.646122\pi\)
\(14\) −4.67171 + 4.49688i −1.24857 + 1.20184i
\(15\) 1.00871 + 2.43524i 0.260448 + 0.628777i
\(16\) −2.60471 3.03570i −0.651177 0.758926i
\(17\) 0.635942 1.53530i 0.154239 0.372365i −0.827806 0.561015i \(-0.810411\pi\)
0.982044 + 0.188650i \(0.0604111\pi\)
\(18\) 2.03787 + 5.19799i 0.480330 + 1.22518i
\(19\) −6.29184 + 1.90861i −1.44345 + 0.437865i −0.912338 0.409438i \(-0.865725\pi\)
−0.531109 + 0.847303i \(0.678225\pi\)
\(20\) 1.99640 0.120014i 0.446408 0.0268359i
\(21\) −1.18462 12.0277i −0.258506 2.62466i
\(22\) 0.520943 4.42299i 0.111065 0.942984i
\(23\) 1.91576 1.28007i 0.399463 0.266913i −0.339571 0.940580i \(-0.610282\pi\)
0.739035 + 0.673667i \(0.235282\pi\)
\(24\) 7.44916 0.305416i 1.52055 0.0623429i
\(25\) −0.555570 + 0.831470i −0.111114 + 0.166294i
\(26\) 0.0256384 + 0.323414i 0.00502811 + 0.0634267i
\(27\) −2.39100 0.725303i −0.460149 0.139585i
\(28\) −8.91931 2.13060i −1.68559 0.402646i
\(29\) −4.93048 6.00781i −0.915568 1.11562i −0.992940 0.118620i \(-0.962153\pi\)
0.0773719 0.997002i \(-0.475347\pi\)
\(30\) −2.12972 + 3.05943i −0.388832 + 0.558573i
\(31\) 3.13804 3.13804i 0.563608 0.563608i −0.366722 0.930330i \(-0.619520\pi\)
0.930330 + 0.366722i \(0.119520\pi\)
\(32\) 1.62669 5.41792i 0.287561 0.957762i
\(33\) 5.86955 + 5.86955i 1.02176 + 1.02176i
\(34\) 2.31330 0.414462i 0.396728 0.0710796i
\(35\) 3.54435 2.90877i 0.599105 0.491673i
\(36\) −4.63378 + 6.39313i −0.772296 + 1.06552i
\(37\) 2.62619 8.65738i 0.431743 1.42326i −0.423905 0.905707i \(-0.639341\pi\)
0.855648 0.517558i \(-0.173159\pi\)
\(38\) −7.07399 6.03480i −1.14755 0.978973i
\(39\) −0.502780 0.335947i −0.0805092 0.0537945i
\(40\) 1.66641 + 2.28540i 0.263483 + 0.361354i
\(41\) −2.50918 3.75525i −0.391868 0.586472i 0.582111 0.813109i \(-0.302227\pi\)
−0.973979 + 0.226637i \(0.927227\pi\)
\(42\) 13.4166 10.5892i 2.07023 1.63395i
\(43\) 5.63510 0.555009i 0.859345 0.0846381i 0.341262 0.939968i \(-0.389146\pi\)
0.518083 + 0.855330i \(0.326646\pi\)
\(44\) 5.66374 2.75508i 0.853841 0.415344i
\(45\) −1.14602 3.77792i −0.170838 0.563179i
\(46\) 2.98608 + 1.30412i 0.440274 + 0.192281i
\(47\) −11.0074 4.55942i −1.60560 0.665060i −0.613405 0.789769i \(-0.710200\pi\)
−0.992193 + 0.124708i \(0.960200\pi\)
\(48\) 6.04835 + 8.63620i 0.873005 + 1.24653i
\(49\) −12.9559 + 5.36653i −1.85085 + 0.766646i
\(50\) −1.41396 0.0269616i −0.199964 0.00381294i
\(51\) −2.06486 + 3.86309i −0.289139 + 0.540941i
\(52\) −0.365504 + 0.277334i −0.0506863 + 0.0384594i
\(53\) −0.888015 + 1.08205i −0.121978 + 0.148631i −0.830419 0.557139i \(-0.811899\pi\)
0.708441 + 0.705770i \(0.249399\pi\)
\(54\) −0.961081 3.40033i −0.130787 0.462726i
\(55\) −0.614368 + 3.08863i −0.0828413 + 0.416471i
\(56\) −4.26985 12.2456i −0.570583 1.63639i
\(57\) 16.9978 3.38108i 2.25142 0.447835i
\(58\) 3.39052 10.4552i 0.445198 1.37284i
\(59\) −8.90062 + 4.75748i −1.15876 + 0.619371i −0.934782 0.355222i \(-0.884405\pi\)
−0.223981 + 0.974594i \(0.571905\pi\)
\(60\) −5.26795 0.200973i −0.680089 0.0259456i
\(61\) −1.38381 + 14.0501i −0.177179 + 1.79893i 0.337272 + 0.941407i \(0.390496\pi\)
−0.514451 + 0.857520i \(0.672004\pi\)
\(62\) 6.13102 + 1.34153i 0.778640 + 0.170375i
\(63\) 18.1017i 2.28060i
\(64\) 7.69218 2.19780i 0.961523 0.274725i
\(65\) 0.229406i 0.0284543i
\(66\) −2.50927 + 11.4678i −0.308870 + 1.41159i
\(67\) −1.13343 + 11.5079i −0.138471 + 1.40591i 0.635210 + 0.772339i \(0.280913\pi\)
−0.773681 + 0.633576i \(0.781587\pi\)
\(68\) 2.25883 + 2.43802i 0.273924 + 0.295653i
\(69\) −5.35613 + 2.86291i −0.644803 + 0.344654i
\(70\) 6.16812 + 2.00026i 0.737232 + 0.239077i
\(71\) −9.07252 + 1.80464i −1.07671 + 0.214171i −0.701429 0.712740i \(-0.747454\pi\)
−0.375282 + 0.926911i \(0.622454\pi\)
\(72\) −11.1481 0.638342i −1.31382 0.0752294i
\(73\) 0.122829 0.617502i 0.0143760 0.0722731i −0.972931 0.231094i \(-0.925769\pi\)
0.987307 + 0.158821i \(0.0507694\pi\)
\(74\) 12.3120 3.47990i 1.43124 0.404530i
\(75\) 1.67219 2.03757i 0.193088 0.235278i
\(76\) 1.78687 13.0279i 0.204968 1.49441i
\(77\) 6.80661 12.7343i 0.775685 1.45120i
\(78\) 0.0163033 0.855002i 0.00184599 0.0968100i
\(79\) 9.87774 4.09150i 1.11133 0.460329i 0.249936 0.968262i \(-0.419590\pi\)
0.861397 + 0.507933i \(0.169590\pi\)
\(80\) −1.44940 + 3.72817i −0.162048 + 0.416822i
\(81\) −4.85751 2.01204i −0.539723 0.223561i
\(82\) 2.55631 5.85329i 0.282298 0.646388i
\(83\) −1.51380 4.99033i −0.166161 0.547760i 0.833830 0.552022i \(-0.186143\pi\)
−0.999991 + 0.00426176i \(0.998643\pi\)
\(84\) 22.8466 + 7.89341i 2.49277 + 0.861241i
\(85\) −1.65379 + 0.162885i −0.179379 + 0.0176673i
\(86\) 4.96116 + 6.28584i 0.534975 + 0.677819i
\(87\) 11.3814 + 17.0335i 1.22022 + 1.82619i
\(88\) 7.60251 + 4.64099i 0.810430 + 0.494731i
\(89\) 4.70001 + 3.14045i 0.498201 + 0.332887i 0.779152 0.626835i \(-0.215650\pi\)
−0.280951 + 0.959722i \(0.590650\pi\)
\(90\) 3.62358 4.24755i 0.381958 0.447732i
\(91\) −0.305337 + 1.00656i −0.0320080 + 0.105516i
\(92\) 0.726050 + 4.55057i 0.0756959 + 0.474430i
\(93\) −9.04244 + 7.42094i −0.937657 + 0.769515i
\(94\) −2.97151 16.5853i −0.306488 1.71065i
\(95\) 4.64920 + 4.64920i 0.476997 + 0.476997i
\(96\) −5.66691 + 13.7920i −0.578377 + 1.40764i
\(97\) −4.23813 + 4.23813i −0.430317 + 0.430317i −0.888736 0.458419i \(-0.848416\pi\)
0.458419 + 0.888736i \(0.348416\pi\)
\(98\) −16.2767 11.3305i −1.64420 1.14455i
\(99\) −7.88712 9.61049i −0.792686 0.965890i
\(100\) −1.04694 1.70409i −0.104694 0.170409i
\(101\) 2.69341 + 0.817036i 0.268004 + 0.0812981i 0.421427 0.906863i \(-0.361530\pi\)
−0.153422 + 0.988161i \(0.549030\pi\)
\(102\) −6.17532 + 0.489545i −0.611448 + 0.0484721i
\(103\) −8.09979 + 12.1222i −0.798096 + 1.19444i 0.179461 + 0.983765i \(0.442565\pi\)
−0.977557 + 0.210671i \(0.932435\pi\)
\(104\) −0.609135 0.223541i −0.0597306 0.0219200i
\(105\) −10.0491 + 6.71456i −0.980687 + 0.655274i
\(106\) −1.96601 0.231558i −0.190955 0.0224909i
\(107\) 0.949935 + 9.64485i 0.0918337 + 0.932403i 0.925149 + 0.379605i \(0.123940\pi\)
−0.833315 + 0.552798i \(0.813560\pi\)
\(108\) 3.31514 3.73921i 0.318999 0.359806i
\(109\) −3.44449 + 1.04488i −0.329923 + 0.100081i −0.450900 0.892574i \(-0.648897\pi\)
0.120978 + 0.992655i \(0.461397\pi\)
\(110\) −4.14630 + 1.62555i −0.395334 + 0.154990i
\(111\) −9.12575 + 22.0315i −0.866178 + 2.09114i
\(112\) 11.3217 14.4289i 1.06980 1.36341i
\(113\) −1.13475 2.73952i −0.106748 0.257712i 0.861475 0.507799i \(-0.169541\pi\)
−0.968223 + 0.250087i \(0.919541\pi\)
\(114\) 16.9973 + 17.6581i 1.59194 + 1.65383i
\(115\) −2.03200 1.08613i −0.189485 0.101282i
\(116\) 15.0358 3.94183i 1.39604 0.365990i
\(117\) 0.700095 + 0.574553i 0.0647238 + 0.0531175i
\(118\) −12.4568 6.96685i −1.14674 0.641350i
\(119\) 7.47314 + 1.48650i 0.685062 + 0.136267i
\(120\) −3.78086 6.42560i −0.345144 0.586575i
\(121\) −0.211262 1.06208i −0.0192056 0.0965531i
\(122\) −17.7846 + 9.07447i −1.61014 + 0.821564i
\(123\) 5.61185 + 10.4990i 0.506004 + 0.946666i
\(124\) 3.08151 + 8.32361i 0.276728 + 0.747482i
\(125\) 0.995185 + 0.0980171i 0.0890120 + 0.00876692i
\(126\) −21.5526 + 13.8140i −1.92006 + 1.23065i
\(127\) −1.89410 −0.168074 −0.0840372 0.996463i \(-0.526781\pi\)
−0.0840372 + 0.996463i \(0.526781\pi\)
\(128\) 8.48696 + 7.48141i 0.750148 + 0.661269i
\(129\) −14.9254 −1.31411
\(130\) 0.273140 0.175067i 0.0239559 0.0153544i
\(131\) 6.00421 + 0.591363i 0.524590 + 0.0516676i 0.356847 0.934163i \(-0.383852\pi\)
0.167744 + 0.985831i \(0.446352\pi\)
\(132\) −15.5689 + 5.76382i −1.35510 + 0.501676i
\(133\) −14.2112 26.5873i −1.23227 2.30541i
\(134\) −14.5667 + 7.43257i −1.25838 + 0.642077i
\(135\) 0.487451 + 2.45058i 0.0419531 + 0.210912i
\(136\) −1.17901 + 4.55000i −0.101099 + 0.390159i
\(137\) −0.231053 0.0459594i −0.0197402 0.00392657i 0.185210 0.982699i \(-0.440703\pi\)
−0.204951 + 0.978772i \(0.565703\pi\)
\(138\) −7.49615 4.19244i −0.638115 0.356885i
\(139\) −13.7216 11.2610i −1.16385 0.955149i −0.164341 0.986404i \(-0.552550\pi\)
−0.999511 + 0.0312543i \(0.990050\pi\)
\(140\) 2.32551 + 8.87049i 0.196541 + 0.749693i
\(141\) 27.6967 + 14.8042i 2.33248 + 1.24674i
\(142\) −9.07223 9.42494i −0.761325 0.790923i
\(143\) −0.276463 0.667440i −0.0231190 0.0558141i
\(144\) −7.74748 13.7605i −0.645623 1.14671i
\(145\) −2.97420 + 7.18036i −0.246994 + 0.596297i
\(146\) 0.828958 0.324992i 0.0686050 0.0268965i
\(147\) 35.3725 10.7301i 2.91747 0.885006i
\(148\) 13.5390 + 12.0035i 1.11290 + 0.986682i
\(149\) −0.540111 5.48384i −0.0442476 0.449254i −0.991626 0.129139i \(-0.958779\pi\)
0.947379 0.320114i \(-0.103721\pi\)
\(150\) 3.70212 + 0.436039i 0.302277 + 0.0356024i
\(151\) 2.18514 1.46006i 0.177824 0.118818i −0.463473 0.886111i \(-0.653397\pi\)
0.641297 + 0.767293i \(0.278397\pi\)
\(152\) 16.8752 7.81454i 1.36876 0.633843i
\(153\) 3.64489 5.45496i 0.294672 0.441008i
\(154\) 20.3563 1.61373i 1.64036 0.130038i
\(155\) −4.24676 1.28824i −0.341108 0.103474i
\(156\) 1.03044 0.633070i 0.0825014 0.0506862i
\(157\) 0.234376 + 0.285588i 0.0187053 + 0.0227924i 0.782279 0.622928i \(-0.214057\pi\)
−0.763574 + 0.645721i \(0.776557\pi\)
\(158\) 12.4095 + 8.63848i 0.987251 + 0.687241i
\(159\) 2.60900 2.60900i 0.206907 0.206907i
\(160\) −5.54500 + 1.11938i −0.438370 + 0.0884947i
\(161\) 7.47018 + 7.47018i 0.588733 + 0.588733i
\(162\) −1.31131 7.31901i −0.103026 0.575035i
\(163\) −0.588093 + 0.482635i −0.0460630 + 0.0378029i −0.657143 0.753766i \(-0.728235\pi\)
0.611080 + 0.791569i \(0.290735\pi\)
\(164\) 8.91998 1.42319i 0.696533 0.111133i
\(165\) 2.40959 7.94337i 0.187587 0.618390i
\(166\) 4.78646 5.61069i 0.371501 0.435474i
\(167\) −15.1477 10.1214i −1.17217 0.783216i −0.191999 0.981395i \(-0.561497\pi\)
−0.980166 + 0.198179i \(0.936497\pi\)
\(168\) 8.03685 + 33.2259i 0.620056 + 2.56343i
\(169\) −7.19318 10.7653i −0.553321 0.828104i
\(170\) −1.45600 1.84477i −0.111670 0.141488i
\(171\) −25.8324 + 2.54426i −1.97545 + 0.194565i
\(172\) −3.69814 + 10.7039i −0.281981 + 0.816164i
\(173\) 6.35769 + 20.9585i 0.483366 + 1.59344i 0.771748 + 0.635929i \(0.219383\pi\)
−0.288381 + 0.957516i \(0.593117\pi\)
\(174\) −11.5952 + 26.5501i −0.879033 + 2.01276i
\(175\) −4.23611 1.75465i −0.320220 0.132639i
\(176\) 0.275985 + 12.5936i 0.0208032 + 0.949275i
\(177\) 24.5772 10.1802i 1.84734 0.765193i
\(178\) −0.152405 + 7.99261i −0.0114232 + 0.599072i
\(179\) 6.68750 12.5114i 0.499847 0.935149i −0.497846 0.867266i \(-0.665875\pi\)
0.997693 0.0678833i \(-0.0216245\pi\)
\(180\) 7.82259 + 1.07292i 0.583061 + 0.0799709i
\(181\) 1.15033 1.40169i 0.0855037 0.104187i −0.728501 0.685044i \(-0.759783\pi\)
0.814005 + 0.580858i \(0.197283\pi\)
\(182\) −1.43147 + 0.404595i −0.106107 + 0.0299906i
\(183\) 7.26002 36.4986i 0.536676 2.69805i
\(184\) −4.86402 + 4.33716i −0.358580 + 0.319740i
\(185\) −8.87311 + 1.76497i −0.652364 + 0.129763i
\(186\) −15.7363 5.10312i −1.15384 0.374179i
\(187\) −4.61530 + 2.46693i −0.337504 + 0.180400i
\(188\) 17.4795 16.1948i 1.27483 1.18113i
\(189\) 1.12292 11.4012i 0.0816804 0.829315i
\(190\) −1.98756 + 9.08348i −0.144193 + 0.658985i
\(191\) 6.16017i 0.445734i 0.974849 + 0.222867i \(0.0715416\pi\)
−0.974849 + 0.222867i \(0.928458\pi\)
\(192\) −20.7459 + 3.77789i −1.49721 + 0.272646i
\(193\) 5.44079i 0.391636i 0.980640 + 0.195818i \(0.0627362\pi\)
−0.980640 + 0.195818i \(0.937264\pi\)
\(194\) −8.28035 1.81183i −0.594495 0.130082i
\(195\) −0.0592698 + 0.601776i −0.00424440 + 0.0430941i
\(196\) 1.06921 28.0264i 0.0763725 2.00189i
\(197\) 9.32171 4.98256i 0.664144 0.354992i −0.104632 0.994511i \(-0.533366\pi\)
0.768776 + 0.639519i \(0.220866\pi\)
\(198\) 5.42370 16.7248i 0.385446 1.18858i
\(199\) −25.5251 + 5.07727i −1.80943 + 0.359918i −0.980047 0.198763i \(-0.936307\pi\)
−0.829382 + 0.558681i \(0.811307\pi\)
\(200\) 1.23001 2.54698i 0.0869745 0.180098i
\(201\) 5.94642 29.8947i 0.419428 2.10861i
\(202\) 1.08264 + 3.83039i 0.0761739 + 0.269505i
\(203\) 22.6069 27.5466i 1.58669 1.93339i
\(204\) −5.29547 6.97900i −0.370757 0.488628i
\(205\) −2.12902 + 3.98311i −0.148697 + 0.278192i
\(206\) −20.6144 0.393079i −1.43627 0.0273871i
\(207\) 8.40383 3.48098i 0.584107 0.241945i
\(208\) −0.198695 0.895853i −0.0137770 0.0621162i
\(209\) 19.1294 + 7.92364i 1.32321 + 0.548090i
\(210\) −15.6634 6.84070i −1.08088 0.472053i
\(211\) −3.46520 11.4232i −0.238554 0.786408i −0.991702 0.128557i \(-0.958966\pi\)
0.753148 0.657851i \(-0.228534\pi\)
\(212\) −1.22463 2.51752i −0.0841076 0.172904i
\(213\) 24.2653 2.38992i 1.66263 0.163755i
\(214\) −10.7586 + 8.49135i −0.735444 + 0.580457i
\(215\) −3.14584 4.70809i −0.214545 0.321089i
\(216\) 6.98195 + 1.09362i 0.475062 + 0.0744112i
\(217\) 16.9189 + 11.3048i 1.14853 + 0.767421i
\(218\) −3.87268 3.30377i −0.262291 0.223760i
\(219\) −0.481743 + 1.58809i −0.0325532 + 0.107313i
\(220\) −5.09963 3.69624i −0.343817 0.249200i
\(221\) 0.294691 0.241847i 0.0198231 0.0162684i
\(222\) −33.1958 + 5.94751i −2.22796 + 0.399171i
\(223\) −10.4258 10.4258i −0.698160 0.698160i 0.265854 0.964013i \(-0.414346\pi\)
−0.964013 + 0.265854i \(0.914346\pi\)
\(224\) 25.8196 + 2.46885i 1.72515 + 0.164957i
\(225\) −2.79160 + 2.79160i −0.186106 + 0.186106i
\(226\) 2.39582 3.44170i 0.159368 0.228938i
\(227\) 4.89760 + 5.96774i 0.325065 + 0.396093i 0.909742 0.415173i \(-0.136279\pi\)
−0.584678 + 0.811266i \(0.698779\pi\)
\(228\) −8.05325 + 33.7132i −0.533339 + 2.23271i
\(229\) −26.9919 8.18791i −1.78368 0.541072i −0.786598 0.617466i \(-0.788159\pi\)
−0.997078 + 0.0763937i \(0.975659\pi\)
\(230\) −0.257503 3.24825i −0.0169792 0.214183i
\(231\) −21.1451 + 31.6459i −1.39125 + 2.08215i
\(232\) 16.1677 + 14.8941i 1.06146 + 0.977847i
\(233\) −14.2092 + 9.49430i −0.930877 + 0.621992i −0.925808 0.377995i \(-0.876614\pi\)
−0.00506927 + 0.999987i \(0.501614\pi\)
\(234\) −0.149820 + 1.27202i −0.00979403 + 0.0831547i
\(235\) 1.16781 + 11.8570i 0.0761796 + 0.773464i
\(236\) −1.21122 20.1482i −0.0788435 1.31154i
\(237\) −26.9684 + 8.18076i −1.75178 + 0.531397i
\(238\) 3.93312 + 10.0322i 0.254947 + 0.650293i
\(239\) 8.21692 19.8374i 0.531508 1.28317i −0.399016 0.916944i \(-0.630648\pi\)
0.930524 0.366231i \(-0.119352\pi\)
\(240\) 4.76528 9.40525i 0.307597 0.607106i
\(241\) 11.2213 + 27.0905i 0.722825 + 1.74505i 0.665140 + 0.746719i \(0.268372\pi\)
0.0576846 + 0.998335i \(0.481628\pi\)
\(242\) 1.10334 1.06205i 0.0709254 0.0682712i
\(243\) 18.8330 + 10.0665i 1.20814 + 0.645764i
\(244\) −24.3765 14.2501i −1.56054 0.912266i
\(245\) 10.8402 + 8.89635i 0.692557 + 0.568367i
\(246\) −8.21799 + 14.6939i −0.523960 + 0.936847i
\(247\) −1.47935 0.294261i −0.0941288 0.0187234i
\(248\) −7.55883 + 10.0210i −0.479986 + 0.636334i
\(249\) 2.68168 + 13.4817i 0.169945 + 0.854370i
\(250\) 0.642757 + 1.25971i 0.0406515 + 0.0796709i
\(251\) −13.7756 25.7723i −0.869506 1.62673i −0.775666 0.631143i \(-0.782586\pi\)
−0.0938394 0.995587i \(-0.529914\pi\)
\(252\) −32.8951 15.1195i −2.07219 0.952437i
\(253\) −7.22089 0.711196i −0.453973 0.0447125i
\(254\) −1.44546 2.25520i −0.0906959 0.141504i
\(255\) 4.38031 0.274306
\(256\) −2.43098 + 15.8142i −0.151936 + 0.988390i
\(257\) 17.7530 1.10740 0.553700 0.832716i \(-0.313215\pi\)
0.553700 + 0.832716i \(0.313215\pi\)
\(258\) −11.3901 17.7708i −0.709115 1.10636i
\(259\) 41.2816 + 4.06589i 2.56512 + 0.252642i
\(260\) 0.416885 + 0.191611i 0.0258541 + 0.0118832i
\(261\) −14.4639 27.0600i −0.895292 1.67497i
\(262\) 3.87792 + 7.60015i 0.239579 + 0.469539i
\(263\) 4.44515 + 22.3473i 0.274100 + 1.37799i 0.835064 + 0.550152i \(0.185430\pi\)
−0.560964 + 0.827840i \(0.689570\pi\)
\(264\) −18.7438 14.1384i −1.15360 0.870160i
\(265\) 1.37289 + 0.273085i 0.0843359 + 0.0167755i
\(266\) 20.8109 37.2101i 1.27600 2.28150i
\(267\) −11.5177 9.45232i −0.704871 0.578473i
\(268\) −19.9659 11.6717i −1.21961 0.712963i
\(269\) −5.33931 2.85392i −0.325544 0.174007i 0.300526 0.953773i \(-0.402838\pi\)
−0.626070 + 0.779767i \(0.715338\pi\)
\(270\) −2.54577 + 2.45050i −0.154931 + 0.149133i
\(271\) −3.28191 7.92324i −0.199362 0.481302i 0.792306 0.610124i \(-0.208880\pi\)
−0.991668 + 0.128822i \(0.958880\pi\)
\(272\) −6.31716 + 2.06848i −0.383034 + 0.125420i
\(273\) 1.06102 2.56152i 0.0642157 0.155030i
\(274\) −0.121604 0.310175i −0.00734635 0.0187383i
\(275\) 3.01354 0.914148i 0.181723 0.0551252i
\(276\) −0.728875 12.1246i −0.0438731 0.729817i
\(277\) 1.48849 + 15.1129i 0.0894346 + 0.908044i 0.930300 + 0.366800i \(0.119547\pi\)
−0.840865 + 0.541244i \(0.817953\pi\)
\(278\) 2.93642 24.9312i 0.176115 1.49527i
\(279\) 14.5676 9.73373i 0.872137 0.582743i
\(280\) −8.78689 + 9.53823i −0.525117 + 0.570018i
\(281\) −4.12550 + 6.17425i −0.246107 + 0.368325i −0.933871 0.357609i \(-0.883592\pi\)
0.687765 + 0.725934i \(0.258592\pi\)
\(282\) 3.50982 + 44.2743i 0.209007 + 2.63650i
\(283\) −2.27710 0.690751i −0.135360 0.0410609i 0.221878 0.975074i \(-0.428781\pi\)
−0.357238 + 0.934014i \(0.616281\pi\)
\(284\) 4.29839 17.9943i 0.255062 1.06776i
\(285\) −10.9946 13.3969i −0.651263 0.793566i
\(286\) 0.583703 0.838514i 0.0345151 0.0495824i
\(287\) 14.6430 14.6430i 0.864347 0.864347i
\(288\) 10.4715 19.7256i 0.617039 1.16234i
\(289\) 10.0681 + 10.0681i 0.592241 + 0.592241i
\(290\) −10.8189 + 1.93837i −0.635311 + 0.113825i
\(291\) 12.2124 10.0225i 0.715905 0.587528i
\(292\) 1.01955 + 0.738978i 0.0596649 + 0.0432454i
\(293\) −5.61662 + 18.5155i −0.328126 + 1.08169i 0.625382 + 0.780319i \(0.284943\pi\)
−0.953508 + 0.301368i \(0.902557\pi\)
\(294\) 39.7697 + 33.9274i 2.31942 + 1.97869i
\(295\) 8.39145 + 5.60699i 0.488569 + 0.326451i
\(296\) −3.95979 + 25.2804i −0.230158 + 1.46939i
\(297\) 4.37146 + 6.54236i 0.253658 + 0.379626i
\(298\) 6.11711 4.82798i 0.354354 0.279678i
\(299\) 0.526020 0.0518085i 0.0304205 0.00299616i
\(300\) 2.30605 + 4.74065i 0.133140 + 0.273702i
\(301\) 7.53657 + 24.8447i 0.434401 + 1.43203i
\(302\) 3.40596 + 1.48749i 0.195991 + 0.0855955i
\(303\) −6.85425 2.83912i −0.393766 0.163103i
\(304\) 22.1824 + 14.1288i 1.27225 + 0.810341i
\(305\) 13.0434 5.40274i 0.746862 0.309360i
\(306\) 9.27644 + 0.176885i 0.530299 + 0.0101118i
\(307\) 10.7127 20.0420i 0.611406 1.14386i −0.365625 0.930762i \(-0.619145\pi\)
0.977031 0.213097i \(-0.0683551\pi\)
\(308\) 17.4560 + 23.0055i 0.994646 + 1.31086i
\(309\) 24.3793 29.7062i 1.38689 1.68993i
\(310\) −1.70702 6.03947i −0.0969521 0.343019i
\(311\) −2.86015 + 14.3790i −0.162184 + 0.815355i 0.810950 + 0.585116i \(0.198951\pi\)
−0.973134 + 0.230240i \(0.926049\pi\)
\(312\) 1.54013 + 0.743769i 0.0871924 + 0.0421076i
\(313\) −7.13492 + 1.41922i −0.403290 + 0.0802193i −0.392568 0.919723i \(-0.628413\pi\)
−0.0107223 + 0.999943i \(0.503413\pi\)
\(314\) −0.161172 + 0.497000i −0.00909549 + 0.0280473i
\(315\) 15.9643 8.53308i 0.899484 0.480784i
\(316\) −0.815181 + 21.3676i −0.0458575 + 1.20202i
\(317\) −2.60767 + 26.4761i −0.146461 + 1.48705i 0.588256 + 0.808675i \(0.299815\pi\)
−0.734717 + 0.678373i \(0.762685\pi\)
\(318\) 5.09740 + 1.11536i 0.285848 + 0.0625465i
\(319\) 24.4750i 1.37034i
\(320\) −5.56436 5.74786i −0.311057 0.321315i
\(321\) 25.5458i 1.42583i
\(322\) −3.19355 + 14.5951i −0.177970 + 0.813350i
\(323\) −1.07096 + 10.8736i −0.0595897 + 0.605025i
\(324\) 7.71360 7.14668i 0.428534 0.397038i
\(325\) −0.202318 + 0.108141i −0.0112226 + 0.00599859i
\(326\) −1.02344 0.331892i −0.0566831 0.0183818i
\(327\) 9.30554 1.85099i 0.514598 0.102360i
\(328\) 8.50166 + 9.53440i 0.469426 + 0.526449i
\(329\) 10.6576 53.5792i 0.587570 2.95391i
\(330\) 11.2965 3.19289i 0.621854 0.175763i
\(331\) 3.66760 4.46898i 0.201589 0.245637i −0.662396 0.749154i \(-0.730461\pi\)
0.863986 + 0.503516i \(0.167961\pi\)
\(332\) 10.3330 + 1.41725i 0.567098 + 0.0777815i
\(333\) 16.8367 31.4992i 0.922643 1.72614i
\(334\) 0.491186 25.7595i 0.0268765 1.40949i
\(335\) 10.6834 4.42520i 0.583695 0.241774i
\(336\) −33.4269 + 34.9248i −1.82359 + 1.90530i
\(337\) 0.304565 + 0.126155i 0.0165907 + 0.00687210i 0.390963 0.920406i \(-0.372142\pi\)
−0.374373 + 0.927278i \(0.622142\pi\)
\(338\) 7.32830 16.7799i 0.398607 0.912706i
\(339\) 2.26887 + 7.47948i 0.123228 + 0.406229i
\(340\) 1.08533 3.14139i 0.0588605 0.170366i
\(341\) −13.9081 + 1.36983i −0.753168 + 0.0741806i
\(342\) −22.7429 28.8154i −1.22979 1.55816i
\(343\) −17.8912 26.7760i −0.966031 1.44577i
\(344\) −15.5667 + 3.76535i −0.839299 + 0.203014i
\(345\) 5.04973 + 3.37412i 0.271868 + 0.181657i
\(346\) −20.1023 + 23.5639i −1.08070 + 1.26680i
\(347\) −8.84433 + 29.1558i −0.474788 + 1.56517i 0.313331 + 0.949644i \(0.398555\pi\)
−0.788119 + 0.615523i \(0.788945\pi\)
\(348\) −40.4603 + 6.45550i −2.16890 + 0.346051i
\(349\) −24.7864 + 20.3416i −1.32678 + 1.08886i −0.337740 + 0.941240i \(0.609662\pi\)
−0.989044 + 0.147623i \(0.952838\pi\)
\(350\) −1.14356 6.38272i −0.0611257 0.341171i
\(351\) −0.405307 0.405307i −0.0216337 0.0216337i
\(352\) −14.7838 + 9.93917i −0.787978 + 0.529760i
\(353\) 13.3517 13.3517i 0.710641 0.710641i −0.256028 0.966669i \(-0.582414\pi\)
0.966669 + 0.256028i \(0.0824139\pi\)
\(354\) 30.8767 + 21.4938i 1.64108 + 1.14238i
\(355\) 5.86831 + 7.15055i 0.311457 + 0.379512i
\(356\) −9.63264 + 5.91798i −0.510529 + 0.313652i
\(357\) −19.2195 5.83016i −1.01720 0.308565i
\(358\) 20.0001 1.58549i 1.05704 0.0837960i
\(359\) 0.378423 0.566349i 0.0199724 0.0298908i −0.821349 0.570426i \(-0.806778\pi\)
0.841321 + 0.540535i \(0.181778\pi\)
\(360\) 4.69222 + 10.1327i 0.247302 + 0.534039i
\(361\) 20.1465 13.4615i 1.06034 0.708499i
\(362\) 2.54677 + 0.299960i 0.133855 + 0.0157656i
\(363\) 0.279778 + 2.84064i 0.0146846 + 0.149095i
\(364\) −1.57413 1.39560i −0.0825068 0.0731495i
\(365\) −0.602489 + 0.182763i −0.0315357 + 0.00956625i
\(366\) 48.9971 19.2092i 2.56112 1.00408i
\(367\) 10.8758 26.2566i 0.567715 1.37058i −0.335762 0.941947i \(-0.608994\pi\)
0.903477 0.428638i \(-0.141006\pi\)
\(368\) −8.87590 2.48147i −0.462688 0.129355i
\(369\) −6.82338 16.4731i −0.355211 0.857555i
\(370\) −8.87282 9.21777i −0.461276 0.479209i
\(371\) −5.66035 3.02552i −0.293871 0.157077i
\(372\) −5.93290 22.6306i −0.307606 1.17334i
\(373\) 0.248064 + 0.203581i 0.0128443 + 0.0105410i 0.640794 0.767713i \(-0.278605\pi\)
−0.627949 + 0.778254i \(0.716105\pi\)
\(374\) −6.45933 3.61257i −0.334004 0.186801i
\(375\) −2.58524 0.514236i −0.133501 0.0265551i
\(376\) 32.6215 + 8.45300i 1.68232 + 0.435930i
\(377\) −0.347833 1.74867i −0.0179143 0.0900613i
\(378\) 14.4317 7.36365i 0.742285 0.378745i
\(379\) 6.55527 + 12.2641i 0.336722 + 0.629962i 0.992116 0.125325i \(-0.0399974\pi\)
−0.655394 + 0.755287i \(0.727497\pi\)
\(380\) −12.3319 + 4.56545i −0.632615 + 0.234202i
\(381\) 4.96861 + 0.489365i 0.254549 + 0.0250709i
\(382\) −7.33455 + 4.70104i −0.375268 + 0.240526i
\(383\) −14.6457 −0.748361 −0.374180 0.927356i \(-0.622076\pi\)
−0.374180 + 0.927356i \(0.622076\pi\)
\(384\) −20.3301 21.8179i −1.03746 1.11339i
\(385\) −14.4392 −0.735891
\(386\) −6.47802 + 4.15205i −0.329723 + 0.211334i
\(387\) 22.2469 + 2.19113i 1.13087 + 0.111381i
\(388\) −4.16178 11.2416i −0.211283 0.570705i
\(389\) 1.42690 + 2.66953i 0.0723465 + 0.135351i 0.915494 0.402331i \(-0.131800\pi\)
−0.843148 + 0.537682i \(0.819300\pi\)
\(390\) −0.761730 + 0.388667i −0.0385717 + 0.0196809i
\(391\) −0.746978 3.75531i −0.0377763 0.189914i
\(392\) 34.1854 20.1149i 1.72662 1.01595i
\(393\) −15.5974 3.10252i −0.786787 0.156502i
\(394\) 13.0461 + 7.29645i 0.657256 + 0.367590i
\(395\) −8.26471 6.78267i −0.415843 0.341273i
\(396\) 24.0523 6.30560i 1.20867 0.316869i
\(397\) −24.2588 12.9666i −1.21751 0.650775i −0.267673 0.963510i \(-0.586255\pi\)
−0.949840 + 0.312735i \(0.898755\pi\)
\(398\) −25.5243 26.5166i −1.27942 1.32916i
\(399\) 30.4096 + 73.4153i 1.52239 + 3.67536i
\(400\) 3.97119 0.479191i 0.198560 0.0239595i
\(401\) 0.0327152 0.0789815i 0.00163372 0.00394415i −0.923061 0.384655i \(-0.874321\pi\)
0.924694 + 0.380710i \(0.124321\pi\)
\(402\) 40.1317 15.7336i 2.00159 0.784721i
\(403\) 0.974231 0.295530i 0.0485299 0.0147214i
\(404\) −3.73442 + 4.21213i −0.185794 + 0.209561i
\(405\) 0.515347 + 5.23241i 0.0256078 + 0.260000i
\(406\) 50.0502 + 5.89495i 2.48395 + 0.292562i
\(407\) −23.6887 + 15.8283i −1.17420 + 0.784578i
\(408\) 4.26833 11.6309i 0.211314 0.575817i
\(409\) −13.3535 + 19.9850i −0.660289 + 0.988193i 0.338593 + 0.940933i \(0.390049\pi\)
−0.998883 + 0.0472599i \(0.984951\pi\)
\(410\) −6.36718 + 0.504754i −0.314453 + 0.0249280i
\(411\) 0.594224 + 0.180256i 0.0293109 + 0.00889137i
\(412\) −15.2636 24.8443i −0.751981 1.22399i
\(413\) −29.3563 35.7707i −1.44453 1.76016i
\(414\) 10.5579 + 7.34949i 0.518890 + 0.361208i
\(415\) −3.68748 + 3.68748i −0.181011 + 0.181011i
\(416\) 0.915008 0.920230i 0.0448620 0.0451180i
\(417\) 33.0851 + 33.0851i 1.62018 + 1.62018i
\(418\) 5.16407 + 28.8230i 0.252583 + 1.40978i
\(419\) −6.14095 + 5.03975i −0.300005 + 0.246208i −0.772337 0.635213i \(-0.780912\pi\)
0.472332 + 0.881421i \(0.343412\pi\)
\(420\) −3.80847 23.8699i −0.185834 1.16473i
\(421\) 4.26770 14.0687i 0.207995 0.685668i −0.789423 0.613850i \(-0.789620\pi\)
0.997418 0.0718177i \(-0.0228800\pi\)
\(422\) 10.9566 12.8433i 0.533357 0.625201i
\(423\) −39.1097 26.1323i −1.90158 1.27059i
\(424\) 2.06291 3.37929i 0.100184 0.164113i
\(425\) 0.923245 + 1.38173i 0.0447839 + 0.0670239i
\(426\) 21.3632 + 27.0674i 1.03505 + 1.31142i
\(427\) −64.4214 + 6.34495i −3.11757 + 0.307054i
\(428\) −18.3204 6.32962i −0.885551 0.305954i
\(429\) 0.552774 + 1.82225i 0.0266882 + 0.0879792i
\(430\) 3.20494 7.33847i 0.154556 0.353893i
\(431\) −6.48919 2.68791i −0.312573 0.129472i 0.220882 0.975301i \(-0.429107\pi\)
−0.533455 + 0.845829i \(0.679107\pi\)
\(432\) 4.02606 + 9.14758i 0.193704 + 0.440113i
\(433\) 26.8808 11.1344i 1.29181 0.535084i 0.372284 0.928119i \(-0.378575\pi\)
0.919524 + 0.393035i \(0.128575\pi\)
\(434\) −0.548618 + 28.7714i −0.0263345 + 1.38107i
\(435\) 9.65705 18.0671i 0.463020 0.866250i
\(436\) 0.978231 7.13220i 0.0468488 0.341570i
\(437\) −9.61050 + 11.7104i −0.459732 + 0.560186i
\(438\) −2.25848 + 0.638346i −0.107915 + 0.0305014i
\(439\) 5.52471 27.7746i 0.263680 1.32561i −0.591092 0.806604i \(-0.701303\pi\)
0.854772 0.519004i \(-0.173697\pi\)
\(440\) 0.509189 8.89256i 0.0242746 0.423936i
\(441\) −54.2994 + 10.8008i −2.58569 + 0.514325i
\(442\) 0.512842 + 0.166310i 0.0243934 + 0.00791055i
\(443\) 6.99902 3.74106i 0.332534 0.177743i −0.296677 0.954978i \(-0.595878\pi\)
0.629210 + 0.777235i \(0.283378\pi\)
\(444\) −32.4142 34.9855i −1.53831 1.66034i
\(445\) 0.554058 5.62544i 0.0262648 0.266671i
\(446\) 4.45708 20.3696i 0.211049 0.964527i
\(447\) 14.5247i 0.686996i
\(448\) 16.7643 + 32.6260i 0.792041 + 1.54143i
\(449\) 8.06954i 0.380825i −0.981704 0.190413i \(-0.939017\pi\)
0.981704 0.190413i \(-0.0609826\pi\)
\(450\) −5.45415 1.19343i −0.257111 0.0562586i
\(451\) −1.39408 + 14.1543i −0.0656446 + 0.666501i
\(452\) 5.92616 + 0.226084i 0.278743 + 0.0106341i
\(453\) −6.10927 + 3.26547i −0.287039 + 0.153425i
\(454\) −3.36791 + 10.3855i −0.158064 + 0.487414i
\(455\) 1.03164 0.205207i 0.0483642 0.00962024i
\(456\) −46.2860 + 16.1392i −2.16754 + 0.755786i
\(457\) −0.0419584 + 0.210939i −0.00196273 + 0.00986731i −0.981754 0.190154i \(-0.939101\pi\)
0.979792 + 0.200022i \(0.0641012\pi\)
\(458\) −10.8496 38.3861i −0.506968 1.79367i
\(459\) −2.63410 + 3.20966i −0.122949 + 0.149814i
\(460\) 3.67099 2.78544i 0.171161 0.129872i
\(461\) 8.96746 16.7769i 0.417656 0.781380i −0.581834 0.813308i \(-0.697665\pi\)
0.999490 + 0.0319277i \(0.0101646\pi\)
\(462\) −53.8155 1.02616i −2.50372 0.0477414i
\(463\) −28.0010 + 11.5984i −1.30132 + 0.539024i −0.922339 0.386381i \(-0.873725\pi\)
−0.378980 + 0.925405i \(0.623725\pi\)
\(464\) −5.39545 + 30.6161i −0.250478 + 1.42132i
\(465\) 10.8073 + 4.47651i 0.501175 + 0.207593i
\(466\) −22.1478 9.67265i −1.02598 0.448077i
\(467\) 8.44020 + 27.8236i 0.390566 + 1.28752i 0.903312 + 0.428983i \(0.141128\pi\)
−0.512746 + 0.858540i \(0.671372\pi\)
\(468\) −1.62886 + 0.792343i −0.0752939 + 0.0366261i
\(469\) −52.7652 + 5.19692i −2.43647 + 0.239972i
\(470\) −13.2262 + 10.4389i −0.610080 + 0.481511i
\(471\) −0.541030 0.809708i −0.0249293 0.0373094i
\(472\) 23.0650 16.8179i 1.06165 0.774109i
\(473\) −14.8264 9.90671i −0.681721 0.455511i
\(474\) −30.3208 25.8666i −1.39268 1.18809i
\(475\) 1.90861 6.29184i 0.0875730 0.288689i
\(476\) −8.94328 + 12.3389i −0.409915 + 0.565552i
\(477\) −4.27184 + 3.50580i −0.195594 + 0.160520i
\(478\) 29.8898 5.35520i 1.36713 0.244941i
\(479\) 3.19891 + 3.19891i 0.146162 + 0.146162i 0.776401 0.630239i \(-0.217043\pi\)
−0.630239 + 0.776401i \(0.717043\pi\)
\(480\) 14.8348 1.50374i 0.677114 0.0686358i
\(481\) 1.46754 1.46754i 0.0669142 0.0669142i
\(482\) −23.6917 + 34.0342i −1.07913 + 1.55021i
\(483\) −17.6657 21.5258i −0.803819 0.979456i
\(484\) 2.10652 + 0.503195i 0.0957508 + 0.0228725i
\(485\) 5.73554 + 1.73986i 0.260437 + 0.0790028i
\(486\) 2.38659 + 30.1055i 0.108258 + 1.36561i
\(487\) 11.7563 17.5946i 0.532730 0.797287i −0.463310 0.886196i \(-0.653338\pi\)
0.996040 + 0.0889096i \(0.0283382\pi\)
\(488\) −1.63584 39.8984i −0.0740509 1.80611i
\(489\) 1.66738 1.11411i 0.0754014 0.0503816i
\(490\) −2.31980 + 19.6959i −0.104798 + 0.889772i
\(491\) −2.00107 20.3172i −0.0903069 0.916902i −0.928452 0.371454i \(-0.878859\pi\)
0.838145 0.545448i \(-0.183641\pi\)
\(492\) −23.7666 + 1.42873i −1.07148 + 0.0644123i
\(493\) −12.3593 + 3.74915i −0.556635 + 0.168853i
\(494\) −0.778584 1.98593i −0.0350301 0.0893514i
\(495\) −4.75773 + 11.4862i −0.213844 + 0.516265i
\(496\) −17.6998 1.35247i −0.794745 0.0607278i
\(497\) −16.2310 39.1851i −0.728060 1.75769i
\(498\) −14.0054 + 13.4813i −0.627598 + 0.604111i
\(499\) −24.3319 13.0057i −1.08924 0.582213i −0.173850 0.984772i \(-0.555621\pi\)
−0.915394 + 0.402559i \(0.868121\pi\)
\(500\) −1.00935 + 1.72662i −0.0451395 + 0.0772167i
\(501\) 37.1204 + 30.4640i 1.65842 + 1.36103i
\(502\) 20.1729 36.0694i 0.900361 1.60986i
\(503\) −10.0505 1.99917i −0.448130 0.0891386i −0.0341340 0.999417i \(-0.510867\pi\)
−0.413996 + 0.910279i \(0.635867\pi\)
\(504\) −7.10151 50.7044i −0.316326 2.25855i
\(505\) −0.549102 2.76052i −0.0244347 0.122842i
\(506\) −4.66373 9.14022i −0.207328 0.406333i
\(507\) 16.0878 + 30.0981i 0.714482 + 1.33670i
\(508\) 1.58205 3.44204i 0.0701923 0.152716i
\(509\) 24.0565 + 2.36936i 1.06629 + 0.105020i 0.615908 0.787818i \(-0.288789\pi\)
0.450378 + 0.892838i \(0.351289\pi\)
\(510\) 3.34277 + 5.21538i 0.148020 + 0.230941i
\(511\) 2.88679 0.127704
\(512\) −20.6843 + 9.17397i −0.914123 + 0.405436i
\(513\) 16.4281 0.725319
\(514\) 13.5479 + 21.1374i 0.597573 + 0.932332i
\(515\) 14.5090 + 1.42902i 0.639345 + 0.0629700i
\(516\) 12.4664 27.1230i 0.548805 1.19402i
\(517\) 17.6868 + 33.0897i 0.777865 + 1.45528i
\(518\) 26.6624 + 52.2544i 1.17148 + 2.29593i
\(519\) −11.2626 56.6208i −0.494373 2.48538i
\(520\) 0.0899986 + 0.642585i 0.00394670 + 0.0281792i
\(521\) 4.39455 + 0.874131i 0.192529 + 0.0382964i 0.290413 0.956901i \(-0.406207\pi\)
−0.0978839 + 0.995198i \(0.531207\pi\)
\(522\) 21.1809 37.8717i 0.927062 1.65760i
\(523\) 7.79084 + 6.39377i 0.340670 + 0.279580i 0.789135 0.614220i \(-0.210529\pi\)
−0.448465 + 0.893800i \(0.648029\pi\)
\(524\) −6.08967 + 10.4171i −0.266029 + 0.455075i
\(525\) 10.6588 + 5.69725i 0.465188 + 0.248648i
\(526\) −23.2153 + 22.3466i −1.01224 + 0.974356i
\(527\) −2.82222 6.81344i −0.122938 0.296798i
\(528\) 2.52974 33.1067i 0.110093 1.44078i
\(529\) −6.77016 + 16.3446i −0.294355 + 0.710636i
\(530\) 0.722553 + 1.84302i 0.0313857 + 0.0800556i
\(531\) −38.1279 + 11.5660i −1.65461 + 0.501920i
\(532\) 60.1854 3.61806i 2.60937 0.156863i
\(533\) −0.101554 1.03110i −0.00439881 0.0446619i
\(534\) 2.46478 20.9268i 0.106661 0.905592i
\(535\) 8.05820 5.38432i 0.348386 0.232784i
\(536\) −1.33986 32.6793i −0.0578729 1.41153i
\(537\) −20.7751 + 31.0922i −0.896513 + 1.34173i
\(538\) −0.676617 8.53513i −0.0291710 0.367976i
\(539\) 42.2601 + 12.8195i 1.82027 + 0.552174i
\(540\) −4.86043 1.16104i −0.209160 0.0499631i
\(541\) 16.3441 + 19.9154i 0.702690 + 0.856230i 0.994977 0.100101i \(-0.0319165\pi\)
−0.292288 + 0.956330i \(0.594416\pi\)
\(542\) 6.92919 9.95408i 0.297634 0.427564i
\(543\) −3.37970 + 3.37970i −0.145037 + 0.145037i
\(544\) −7.28366 5.94294i −0.312284 0.254801i
\(545\) 2.54522 + 2.54522i 0.109025 + 0.109025i
\(546\) 3.85955 0.691495i 0.165174 0.0295933i
\(547\) 29.1531 23.9253i 1.24650 1.02297i 0.247967 0.968769i \(-0.420238\pi\)
0.998530 0.0542046i \(-0.0172623\pi\)
\(548\) 0.276507 0.381491i 0.0118118 0.0162965i
\(549\) −16.1795 + 53.3368i −0.690526 + 2.27636i
\(550\) 3.38816 + 2.89043i 0.144472 + 0.123248i
\(551\) 42.4884 + 28.3898i 1.81007 + 1.20945i
\(552\) 13.8798 10.1205i 0.590765 0.430759i
\(553\) 27.2353 + 40.7606i 1.15816 + 1.73332i
\(554\) −16.8581 + 13.3054i −0.716231 + 0.565293i
\(555\) 23.7319 2.33739i 1.00736 0.0992166i
\(556\) 31.9250 15.5296i 1.35392 0.658604i
\(557\) −1.24556 4.10607i −0.0527762 0.173980i 0.926590 0.376073i \(-0.122726\pi\)
−0.979366 + 0.202093i \(0.935226\pi\)
\(558\) 22.7064 + 9.91659i 0.961238 + 0.419803i
\(559\) 1.20010 + 0.497098i 0.0507588 + 0.0210250i
\(560\) −18.0622 3.18309i −0.763267 0.134510i
\(561\) 12.7442 5.27882i 0.538061 0.222872i
\(562\) −10.4996 0.200209i −0.442900 0.00844530i
\(563\) −16.3432 + 30.5760i −0.688783 + 1.28862i 0.257811 + 0.966195i \(0.416999\pi\)
−0.946594 + 0.322427i \(0.895501\pi\)
\(564\) −50.0364 + 37.9662i −2.10691 + 1.59867i
\(565\) −1.88113 + 2.29216i −0.0791395 + 0.0964318i
\(566\) −0.915298 3.23835i −0.0384729 0.136118i
\(567\) 4.70311 23.6441i 0.197512 0.992960i
\(568\) 24.7050 8.61421i 1.03660 0.361444i
\(569\) 1.52759 0.303857i 0.0640399 0.0127383i −0.162966 0.986632i \(-0.552106\pi\)
0.227006 + 0.973893i \(0.427106\pi\)
\(570\) 7.56059 23.3143i 0.316678 0.976527i
\(571\) 32.1675 17.1939i 1.34617 0.719542i 0.368487 0.929633i \(-0.379876\pi\)
0.977682 + 0.210090i \(0.0673758\pi\)
\(572\) 1.44381 + 0.0550818i 0.0603688 + 0.00230309i
\(573\) 1.59156 16.1593i 0.0664882 0.675066i
\(574\) 28.6091 + 6.25996i 1.19412 + 0.261286i
\(575\) 2.30406i 0.0960861i
\(576\) 31.4773 2.58549i 1.31155 0.107729i
\(577\) 24.0155i 0.999780i −0.866089 0.499890i \(-0.833374\pi\)
0.866089 0.499890i \(-0.166626\pi\)
\(578\) −4.30417 + 19.6708i −0.179030 + 0.818197i
\(579\) 1.40569 14.2723i 0.0584187 0.593135i
\(580\) −10.5642 11.4022i −0.438655 0.473452i
\(581\) 21.0875 11.2715i 0.874858 0.467621i
\(582\) 21.2529 + 6.89211i 0.880960 + 0.285687i
\(583\) 4.32343 0.859983i 0.179058 0.0356169i
\(584\) −0.101801 + 1.77786i −0.00421254 + 0.0735685i
\(585\) 0.176688 0.888271i 0.00730515 0.0367255i
\(586\) −26.3316 + 7.44245i −1.08775 + 0.307445i
\(587\) 8.57818 10.4525i 0.354060 0.431423i −0.565273 0.824904i \(-0.691229\pi\)
0.919333 + 0.393481i \(0.128729\pi\)
\(588\) −10.0457 + 73.2426i −0.414279 + 3.02047i
\(589\) −13.7547 + 25.7333i −0.566754 + 1.06032i
\(590\) −0.272105 + 14.2701i −0.0112024 + 0.587490i
\(591\) −25.7400 + 10.6618i −1.05880 + 0.438570i
\(592\) −33.1217 + 14.5776i −1.36129 + 0.599137i
\(593\) −11.5498 4.78409i −0.474295 0.196459i 0.132714 0.991154i \(-0.457631\pi\)
−0.607009 + 0.794695i \(0.707631\pi\)
\(594\) −4.45358 + 10.1975i −0.182733 + 0.418410i
\(595\) −2.21184 7.29146i −0.0906766 0.298921i
\(596\) 10.4166 + 3.59888i 0.426679 + 0.147416i
\(597\) 68.2693 6.72394i 2.79407 0.275192i
\(598\) 0.463109 + 0.586764i 0.0189379 + 0.0239946i
\(599\) −15.8752 23.7589i −0.648641 0.970760i −0.999412 0.0342989i \(-0.989080\pi\)
0.350770 0.936462i \(-0.385920\pi\)
\(600\) −3.88459 + 6.36343i −0.158588 + 0.259786i
\(601\) 3.44659 + 2.30294i 0.140589 + 0.0939388i 0.623876 0.781523i \(-0.285557\pi\)
−0.483287 + 0.875462i \(0.660557\pi\)
\(602\) −23.8298 + 27.9332i −0.971228 + 1.13847i
\(603\) −13.2521 + 43.6863i −0.539667 + 1.77904i
\(604\) 0.828141 + 5.19044i 0.0336966 + 0.211196i
\(605\) −0.837087 + 0.686979i −0.0340324 + 0.0279297i
\(606\) −1.85034 10.3276i −0.0751648 0.419529i
\(607\) −8.39673 8.39673i −0.340813 0.340813i 0.515860 0.856673i \(-0.327472\pi\)
−0.856673 + 0.515860i \(0.827472\pi\)
\(608\) 0.105831 + 37.1934i 0.00429200 + 1.50839i
\(609\) −66.4194 + 66.4194i −2.69145 + 2.69145i
\(610\) 16.3866 + 11.4070i 0.663473 + 0.461854i
\(611\) −1.73394 2.11281i −0.0701475 0.0854750i
\(612\) 6.86857 + 11.1799i 0.277645 + 0.451921i
\(613\) −37.7722 11.4581i −1.52560 0.462787i −0.587524 0.809206i \(-0.699897\pi\)
−0.938080 + 0.346419i \(0.887397\pi\)
\(614\) 32.0381 2.53980i 1.29295 0.102498i
\(615\) 6.61392 9.89842i 0.266699 0.399143i
\(616\) −14.0701 + 38.3401i −0.566900 + 1.54477i
\(617\) 22.1594 14.8064i 0.892105 0.596085i −0.0228068 0.999740i \(-0.507260\pi\)
0.914911 + 0.403655i \(0.132260\pi\)
\(618\) 53.9741 + 6.35711i 2.17116 + 0.255721i
\(619\) 3.82234 + 38.8088i 0.153633 + 1.55986i 0.694961 + 0.719047i \(0.255422\pi\)
−0.541328 + 0.840811i \(0.682078\pi\)
\(620\) 5.88816 6.64137i 0.236474 0.266724i
\(621\) −5.50902 + 1.67114i −0.221069 + 0.0670607i
\(622\) −19.3028 + 7.56766i −0.773974 + 0.303435i
\(623\) −9.91845 + 23.9453i −0.397375 + 0.959347i
\(624\) 0.289761 + 2.40133i 0.0115997 + 0.0961302i
\(625\) −0.382683 0.923880i −0.0153073 0.0369552i
\(626\) −7.13469 7.41207i −0.285160 0.296246i
\(627\) −48.1329 25.7276i −1.92224 1.02746i
\(628\) −0.714745 + 0.187379i −0.0285214 + 0.00747725i
\(629\) −11.6216 9.53758i −0.463383 0.380288i
\(630\) 22.3427 + 12.4958i 0.890155 + 0.497845i
\(631\) 39.3449 + 7.82619i 1.56630 + 0.311556i 0.900594 0.434662i \(-0.143132\pi\)
0.665702 + 0.746217i \(0.268132\pi\)
\(632\) −26.0633 + 15.3358i −1.03674 + 0.610025i
\(633\) 6.13857 + 30.8607i 0.243986 + 1.22660i
\(634\) −33.5136 + 17.1001i −1.33099 + 0.679130i
\(635\) 0.892874 + 1.67045i 0.0354326 + 0.0662898i
\(636\) 2.56200 + 6.92034i 0.101590 + 0.274409i
\(637\) −3.20156 0.315326i −0.126850 0.0124937i
\(638\) −29.1410 + 18.6777i −1.15370 + 0.739459i
\(639\) −36.5192 −1.44468
\(640\) 2.59729 11.0115i 0.102667 0.435269i
\(641\) −23.4725 −0.927108 −0.463554 0.886069i \(-0.653426\pi\)
−0.463554 + 0.886069i \(0.653426\pi\)
\(642\) 30.4158 19.4949i 1.20042 0.769401i
\(643\) −4.10284 0.404095i −0.161800 0.0159359i 0.0167926 0.999859i \(-0.494654\pi\)
−0.178593 + 0.983923i \(0.557154\pi\)
\(644\) −19.8146 + 7.33561i −0.780804 + 0.289064i
\(645\) 7.03577 + 13.1630i 0.277033 + 0.518293i
\(646\) −13.7639 + 7.02291i −0.541532 + 0.276313i
\(647\) −2.37745 11.9522i −0.0934671 0.469891i −0.998963 0.0455352i \(-0.985501\pi\)
0.905496 0.424356i \(-0.139499\pi\)
\(648\) 14.3956 + 3.73026i 0.565514 + 0.146538i
\(649\) 31.1715 + 6.20039i 1.22359 + 0.243387i
\(650\) −0.283153 0.158362i −0.0111062 0.00621145i
\(651\) −41.4607 34.0260i −1.62497 1.33358i
\(652\) −0.385858 1.47183i −0.0151114 0.0576412i
\(653\) 9.34501 + 4.99501i 0.365698 + 0.195470i 0.644003 0.765023i \(-0.277272\pi\)
−0.278305 + 0.960493i \(0.589772\pi\)
\(654\) 9.30524 + 9.66701i 0.363864 + 0.378010i
\(655\) −2.30883 5.57401i −0.0902134 0.217794i
\(656\) −4.86414 + 17.3985i −0.189913 + 0.679295i
\(657\) 0.951199 2.29640i 0.0371098 0.0895910i
\(658\) 71.9267 28.1988i 2.80399 1.09930i
\(659\) 20.0514 6.08252i 0.781091 0.236941i 0.125536 0.992089i \(-0.459935\pi\)
0.655555 + 0.755148i \(0.272435\pi\)
\(660\) 12.4224 + 11.0135i 0.483540 + 0.428700i
\(661\) 1.54231 + 15.6594i 0.0599891 + 0.609080i 0.977438 + 0.211225i \(0.0677452\pi\)
−0.917448 + 0.397855i \(0.869755\pi\)
\(662\) 8.11982 + 0.956359i 0.315586 + 0.0371700i
\(663\) −0.835517 + 0.558275i −0.0324488 + 0.0216816i
\(664\) 6.19805 + 13.3845i 0.240531 + 0.519418i
\(665\) −16.7488 + 25.0663i −0.649490 + 0.972030i
\(666\) 50.3528 3.99169i 1.95113 0.154675i
\(667\) −17.1360 5.19816i −0.663510 0.201274i
\(668\) 31.0451 19.0731i 1.20117 0.737960i
\(669\) 24.6552 + 30.0424i 0.953224 + 1.16151i
\(670\) 13.4217 + 9.34303i 0.518524 + 0.360953i
\(671\) 31.4378 31.4378i 1.21364 1.21364i
\(672\) −67.0921 13.1471i −2.58814 0.507161i
\(673\) 20.5887 + 20.5887i 0.793636 + 0.793636i 0.982083 0.188447i \(-0.0603454\pi\)
−0.188447 + 0.982083i \(0.560345\pi\)
\(674\) 0.0822188 + 0.458901i 0.00316695 + 0.0176762i
\(675\) 1.93144 1.58509i 0.0743411 0.0610101i
\(676\) 25.5713 4.07994i 0.983512 0.156921i
\(677\) −8.22389 + 27.1105i −0.316070 + 1.04194i 0.644663 + 0.764467i \(0.276998\pi\)
−0.960733 + 0.277476i \(0.910502\pi\)
\(678\) −7.17391 + 8.40926i −0.275513 + 0.322956i
\(679\) −22.8500 15.2679i −0.876904 0.585929i
\(680\) 4.56852 1.10506i 0.175195 0.0423770i
\(681\) −11.3055 16.9199i −0.433228 0.648372i
\(682\) −12.2448 15.5142i −0.468876 0.594071i
\(683\) −13.1951 + 1.29960i −0.504896 + 0.0497279i −0.347259 0.937769i \(-0.612888\pi\)
−0.157637 + 0.987497i \(0.550388\pi\)
\(684\) 16.9530 49.0686i 0.648213 1.87619i
\(685\) 0.0683853 + 0.225436i 0.00261287 + 0.00861347i
\(686\) 18.2272 41.7356i 0.695920 1.59347i
\(687\) 68.6896 + 28.4522i 2.62067 + 1.08552i
\(688\) −16.3626 15.6609i −0.623820 0.597065i
\(689\) −0.296675 + 0.122887i −0.0113024 + 0.00468162i
\(690\) −0.163745 + 8.58732i −0.00623365 + 0.326914i
\(691\) −8.94351 + 16.7321i −0.340227 + 0.636520i −0.992607 0.121372i \(-0.961271\pi\)
0.652380 + 0.757892i \(0.273771\pi\)
\(692\) −43.3968 5.95218i −1.64970 0.226268i
\(693\) 36.1635 44.0653i 1.37374 1.67390i
\(694\) −41.4635 + 11.7194i −1.57393 + 0.444863i
\(695\) −3.46303 + 17.4098i −0.131360 + 0.660392i
\(696\) −38.5629 43.2473i −1.46172 1.63929i
\(697\) −7.36113 + 1.46422i −0.278823 + 0.0554613i
\(698\) −43.1349 13.9882i −1.63268 0.529463i
\(699\) 39.7265 21.2343i 1.50260 0.803154i
\(700\) 6.72684 6.23244i 0.254251 0.235564i
\(701\) 0.619296 6.28782i 0.0233905 0.237488i −0.976380 0.216061i \(-0.930679\pi\)
0.999770 0.0214269i \(-0.00682090\pi\)
\(702\) 0.173271 0.791879i 0.00653971 0.0298876i
\(703\) 59.4832i 2.24345i
\(704\) −23.1160 10.0173i −0.871217 0.377540i
\(705\) 31.4049i 1.18278i
\(706\) 26.0863 + 5.70796i 0.981771 + 0.214822i
\(707\) −1.26494 + 12.8432i −0.0475731 + 0.483017i
\(708\) −2.02829 + 53.1657i −0.0762276 + 1.99809i
\(709\) 5.85246 3.12820i 0.219794 0.117482i −0.357826 0.933788i \(-0.616482\pi\)
0.577619 + 0.816306i \(0.303982\pi\)
\(710\) −4.03543 + 12.4439i −0.151447 + 0.467010i
\(711\) 41.3984 8.23466i 1.55256 0.308824i
\(712\) −14.3972 6.95280i −0.539557 0.260567i
\(713\) 1.99482 10.0286i 0.0747065 0.375575i
\(714\) −7.72541 27.3327i −0.289116 1.02290i
\(715\) −0.458306 + 0.558447i −0.0171397 + 0.0208847i
\(716\) 17.1505 + 22.6030i 0.640945 + 0.844713i
\(717\) −26.6798 + 49.9145i −0.996377 + 1.86409i
\(718\) 0.963106 + 0.0183647i 0.0359428 + 0.000685364i
\(719\) 20.7851 8.60948i 0.775155 0.321080i 0.0401962 0.999192i \(-0.487202\pi\)
0.734958 + 0.678112i \(0.237202\pi\)
\(720\) −8.48359 + 13.3193i −0.316165 + 0.496383i
\(721\) −61.7592 25.5815i −2.30003 0.952705i
\(722\) 31.4023 + 13.7144i 1.16867 + 0.510396i
\(723\) −22.4364 73.9629i −0.834419 2.75071i
\(724\) 1.58638 + 3.26119i 0.0589573 + 0.121201i
\(725\) 7.73454 0.761786i 0.287254 0.0282920i
\(726\) −3.16867 + 2.50090i −0.117600 + 0.0928173i
\(727\) 13.0294 + 19.4999i 0.483235 + 0.723212i 0.990338 0.138673i \(-0.0442838\pi\)
−0.507103 + 0.861885i \(0.669284\pi\)
\(728\) 0.460390 2.93926i 0.0170632 0.108936i
\(729\) −33.6871 22.5090i −1.24767 0.833665i
\(730\) −0.677385 0.577875i −0.0250711 0.0213881i
\(731\) 2.73149 9.00453i 0.101028 0.333044i
\(732\) 60.2627 + 43.6787i 2.22737 + 1.61441i
\(733\) −18.0981 + 14.8528i −0.668470 + 0.548599i −0.906262 0.422717i \(-0.861076\pi\)
0.237792 + 0.971316i \(0.423576\pi\)
\(734\) 39.5619 7.08810i 1.46026 0.261627i
\(735\) −26.1376 26.1376i −0.964100 0.964100i
\(736\) −3.81897 12.4617i −0.140769 0.459345i
\(737\) 25.7496 25.7496i 0.948498 0.948498i
\(738\) 14.4064 20.6954i 0.530307 0.761808i
\(739\) 11.5539 + 14.0785i 0.425017 + 0.517885i 0.940859 0.338799i \(-0.110021\pi\)
−0.515842 + 0.856684i \(0.672521\pi\)
\(740\) 4.20391 17.5987i 0.154539 0.646943i
\(741\) 3.80460 + 1.15411i 0.139765 + 0.0423974i
\(742\) −0.717299 9.04832i −0.0263329 0.332174i
\(743\) −23.6647 + 35.4168i −0.868175 + 1.29932i 0.0848408 + 0.996395i \(0.472962\pi\)
−0.953016 + 0.302921i \(0.902038\pi\)
\(744\) 22.4173 24.3342i 0.821859 0.892133i
\(745\) −4.58171 + 3.06140i −0.167861 + 0.112161i
\(746\) −0.0530855 + 0.450714i −0.00194360 + 0.0165018i
\(747\) −2.01797 20.4888i −0.0738335 0.749644i
\(748\) −0.628061 10.4476i −0.0229642 0.382003i
\(749\) −42.5234 + 12.8993i −1.55377 + 0.471332i
\(750\) −1.36062 3.47053i −0.0496827 0.126726i
\(751\) 2.47418 5.97319i 0.0902839 0.217965i −0.872287 0.488994i \(-0.837364\pi\)
0.962571 + 0.271029i \(0.0873640\pi\)
\(752\) 14.8301 + 45.2912i 0.540798 + 1.65160i
\(753\) 29.4774 + 71.1648i 1.07422 + 2.59339i
\(754\) 1.81660 1.74862i 0.0661567 0.0636809i
\(755\) −2.31773 1.23885i −0.0843507 0.0450864i
\(756\) 19.7808 + 11.5635i 0.719420 + 0.420560i
\(757\) −6.52931 5.35846i −0.237312 0.194757i 0.508219 0.861228i \(-0.330304\pi\)
−0.745531 + 0.666471i \(0.767804\pi\)
\(758\) −9.59953 + 17.1641i −0.348671 + 0.623428i
\(759\) 18.7581 + 3.73121i 0.680875 + 0.135434i
\(760\) −14.8467 11.1989i −0.538548 0.406226i
\(761\) −8.92467 44.8673i −0.323519 1.62644i −0.710041 0.704160i \(-0.751324\pi\)
0.386523 0.922280i \(-0.373676\pi\)
\(762\) 3.20906 + 6.28928i 0.116252 + 0.227836i
\(763\) −7.77998 14.5553i −0.281654 0.526938i
\(764\) −11.1945 5.14529i −0.405002 0.186150i
\(765\) −6.52904 0.643054i −0.236058 0.0232497i
\(766\) −11.1766 17.4378i −0.403829 0.630053i
\(767\) −2.31523 −0.0835982
\(768\) 10.4627 40.8558i 0.377542 1.47426i
\(769\) 20.3527 0.733938 0.366969 0.930233i \(-0.380396\pi\)
0.366969 + 0.930233i \(0.380396\pi\)
\(770\) −11.0191 17.1919i −0.397100 0.619554i
\(771\) −46.5696 4.58670i −1.67716 0.165186i
\(772\) −9.88720 4.54443i −0.355848 0.163557i
\(773\) 0.502315 + 0.939766i 0.0180670 + 0.0338010i 0.890793 0.454410i \(-0.150150\pi\)
−0.872726 + 0.488211i \(0.837650\pi\)
\(774\) 14.3685 + 28.1602i 0.516466 + 1.01220i
\(775\) 0.865782 + 4.35258i 0.0310998 + 0.156349i
\(776\) 10.2087 13.5340i 0.366471 0.485844i
\(777\) −107.239 21.3312i −3.84719 0.765254i
\(778\) −2.08954 + 3.73613i −0.0749137 + 0.133947i
\(779\) 22.9546 + 18.8384i 0.822436 + 0.674956i
\(780\) −1.04407 0.610342i −0.0373835 0.0218537i
\(781\) 25.6907 + 13.7320i 0.919287 + 0.491369i
\(782\) 3.90119 3.75519i 0.139506 0.134285i
\(783\) 7.43132 + 17.9408i 0.265574 + 0.641151i
\(784\) 50.0376 + 25.3521i 1.78706 + 0.905433i
\(785\) 0.141382 0.341327i 0.00504615 0.0121825i
\(786\) −8.20895 20.9386i −0.292804 0.746855i
\(787\) 14.7862 4.48533i 0.527070 0.159885i −0.0155249 0.999879i \(-0.504942\pi\)
0.542595 + 0.839995i \(0.317442\pi\)
\(788\) 1.26852 + 21.1014i 0.0451891 + 0.751708i
\(789\) −5.88681 59.7698i −0.209576 2.12786i
\(790\) 1.76864 15.0164i 0.0629255 0.534259i
\(791\) 11.3046 7.55353i 0.401947 0.268572i
\(792\) 25.8628 + 23.8256i 0.918996 + 0.846606i
\(793\) −1.79936 + 2.69293i −0.0638971 + 0.0956288i
\(794\) −3.07416 38.7788i −0.109098 1.37621i
\(795\) −3.53080 1.07106i −0.125225 0.0379865i
\(796\) 12.0933 50.6261i 0.428636 1.79439i
\(797\) −18.8575 22.9780i −0.667968 0.813921i 0.323229 0.946321i \(-0.395232\pi\)
−0.991196 + 0.132400i \(0.957732\pi\)
\(798\) −64.2047 + 92.2327i −2.27282 + 3.26500i
\(799\) −14.0002 + 14.0002i −0.495290 + 0.495290i
\(800\) 3.60110 + 4.36258i 0.127318 + 0.154240i
\(801\) 15.7799 + 15.7799i 0.557557 + 0.557557i
\(802\) 0.119005 0.0213214i 0.00420220 0.000752886i
\(803\) −1.53265 + 1.25781i −0.0540859 + 0.0443872i
\(804\) 49.3590 + 35.7756i 1.74076 + 1.26171i
\(805\) 3.06669 10.1095i 0.108087 0.356314i
\(806\) 1.09534 + 0.934430i 0.0385817 + 0.0329139i
\(807\) 13.2687 + 8.86588i 0.467081 + 0.312094i
\(808\) −7.86500 1.23193i −0.276690 0.0433393i
\(809\) −0.848477 1.26983i −0.0298308 0.0446450i 0.816254 0.577692i \(-0.196047\pi\)
−0.846085 + 0.533047i \(0.821047\pi\)
\(810\) −5.83664 + 4.60663i −0.205079 + 0.161860i
\(811\) 44.0469 4.33824i 1.54670 0.152336i 0.711657 0.702528i \(-0.247945\pi\)
0.835039 + 0.550191i \(0.185445\pi\)
\(812\) 31.1763 + 64.0905i 1.09407 + 2.24913i
\(813\) 6.56204 + 21.6321i 0.230141 + 0.758672i
\(814\) −36.9234 16.1256i −1.29417 0.565202i
\(815\) 0.702871 + 0.291139i 0.0246205 + 0.0101982i
\(816\) 17.1056 3.79391i 0.598815 0.132813i
\(817\) −34.3959 + 14.2472i −1.20336 + 0.498448i
\(818\) −33.9854 0.648041i −1.18827 0.0226582i
\(819\) −1.95754 + 3.66229i −0.0684018 + 0.127971i
\(820\) −5.46000 7.19583i −0.190671 0.251289i
\(821\) 3.16526 3.85689i 0.110468 0.134606i −0.714841 0.699287i \(-0.753501\pi\)
0.825309 + 0.564681i \(0.191001\pi\)
\(822\) 0.238853 + 0.845067i 0.00833095 + 0.0294751i
\(823\) 1.71816 8.63776i 0.0598912 0.301093i −0.939217 0.343325i \(-0.888447\pi\)
0.999108 + 0.0422317i \(0.0134468\pi\)
\(824\) 17.9325 37.1330i 0.624710 1.29359i
\(825\) −8.14130 + 1.61940i −0.283444 + 0.0563804i
\(826\) 20.1873 62.2506i 0.702406 2.16598i
\(827\) −35.5821 + 19.0190i −1.23731 + 0.661357i −0.954612 0.297852i \(-0.903730\pi\)
−0.282699 + 0.959209i \(0.591230\pi\)
\(828\) −0.693543 + 18.1793i −0.0241023 + 0.631773i
\(829\) 2.68779 27.2896i 0.0933508 0.947806i −0.828429 0.560094i \(-0.810765\pi\)
0.921780 0.387713i \(-0.126735\pi\)
\(830\) −7.20450 1.57642i −0.250072 0.0547184i
\(831\) 40.0286i 1.38858i
\(832\) 1.79394 + 0.387187i 0.0621936 + 0.0134233i
\(833\) 23.3040i 0.807437i
\(834\) −14.1441 + 64.6408i −0.489770 + 2.23833i
\(835\) −1.78568 + 18.1303i −0.0617959 + 0.627424i
\(836\) −30.3770 + 28.1444i −1.05061 + 0.973394i
\(837\) −9.77908 + 5.22703i −0.338014 + 0.180673i
\(838\) −10.6869 3.46566i −0.369173 0.119719i
\(839\) 17.3365 3.44845i 0.598523 0.119054i 0.113475 0.993541i \(-0.463802\pi\)
0.485048 + 0.874487i \(0.338802\pi\)
\(840\) 25.5141 22.7504i 0.880319 0.784965i
\(841\) −6.12651 + 30.8001i −0.211259 + 1.06207i
\(842\) 20.0076 5.65503i 0.689508 0.194885i
\(843\) 12.4172 15.1304i 0.427671 0.521119i
\(844\) 23.6530 + 3.24418i 0.814171 + 0.111669i
\(845\) −6.10335 + 11.4186i −0.209962 + 0.392811i
\(846\) 1.26819 66.5080i 0.0436012 2.28659i
\(847\) 4.58724 1.90010i 0.157620 0.0652882i
\(848\) 5.59780 0.122675i 0.192229 0.00421266i
\(849\) 5.79482 + 2.40029i 0.198878 + 0.0823779i
\(850\) −0.940589 + 2.15370i −0.0322619 + 0.0738713i
\(851\) −6.05091 19.9472i −0.207422 0.683780i
\(852\) −15.9245 + 46.0919i −0.545566 + 1.57908i
\(853\) 53.4593 5.26529i 1.83041 0.180280i 0.876708 0.481023i \(-0.159735\pi\)
0.953705 + 0.300744i \(0.0972348\pi\)
\(854\) −56.7167 71.8607i −1.94081 2.45902i
\(855\) 14.4211 + 21.5827i 0.493192 + 0.738114i
\(856\) −6.44464 26.6434i −0.220273 0.910653i
\(857\) 28.2150 + 18.8527i 0.963807 + 0.643995i 0.934646 0.355580i \(-0.115717\pi\)
0.0291608 + 0.999575i \(0.490717\pi\)
\(858\) −1.74781 + 2.04878i −0.0596692 + 0.0699442i
\(859\) 5.81304 19.1630i 0.198338 0.653834i −0.800197 0.599737i \(-0.795272\pi\)
0.998536 0.0540969i \(-0.0172280\pi\)
\(860\) 11.1833 1.78431i 0.381347 0.0608444i
\(861\) −42.1946 + 34.6282i −1.43799 + 1.18013i
\(862\) −1.75179 9.77753i −0.0596661 0.333024i
\(863\) −20.4419 20.4419i −0.695850 0.695850i 0.267663 0.963513i \(-0.413749\pi\)
−0.963513 + 0.267663i \(0.913749\pi\)
\(864\) −7.81905 + 11.7744i −0.266010 + 0.400574i
\(865\) 15.4867 15.4867i 0.526565 0.526565i
\(866\) 33.7707 + 23.5083i 1.14757 + 0.798845i
\(867\) −23.8094 29.0118i −0.808609 0.985292i
\(868\) −34.6750 + 21.3032i −1.17695 + 0.723078i
\(869\) −32.2196 9.77370i −1.09297 0.331550i
\(870\) 28.8810 2.28952i 0.979159 0.0776222i
\(871\) −1.47379 + 2.20568i −0.0499375 + 0.0747367i
\(872\) 9.23841 4.27810i 0.312852 0.144875i
\(873\) −19.6745 + 13.1461i −0.665880 + 0.444927i
\(874\) −21.2770 2.50602i −0.719706 0.0847675i
\(875\) 0.449421 + 4.56305i 0.0151932 + 0.154259i
\(876\) −2.48357 2.20190i −0.0839120 0.0743953i
\(877\) 30.0501 9.11560i 1.01472 0.307812i 0.261233 0.965276i \(-0.415871\pi\)
0.753486 + 0.657464i \(0.228371\pi\)
\(878\) 37.2856 14.6178i 1.25833 0.493327i
\(879\) 19.5172 47.1187i 0.658299 1.58927i
\(880\) 10.9764 6.17996i 0.370015 0.208326i
\(881\) 16.3880 + 39.5642i 0.552127 + 1.33295i 0.915878 + 0.401457i \(0.131496\pi\)
−0.363751 + 0.931496i \(0.618504\pi\)
\(882\) −54.2976 56.4086i −1.82830 1.89938i
\(883\) 7.53401 + 4.02701i 0.253540 + 0.135520i 0.593271 0.805003i \(-0.297836\pi\)
−0.339732 + 0.940522i \(0.610336\pi\)
\(884\) 0.193352 + 0.737527i 0.00650313 + 0.0248057i
\(885\) −20.5638 16.8763i −0.691244 0.567289i
\(886\) 9.79545 + 5.47840i 0.329085 + 0.184050i
\(887\) −10.9003 2.16820i −0.365996 0.0728012i 0.00866632 0.999962i \(-0.497241\pi\)
−0.374662 + 0.927161i \(0.622241\pi\)
\(888\) 16.9188 65.2923i 0.567758 2.19107i
\(889\) −1.69430 8.51783i −0.0568251 0.285679i
\(890\) 7.12070 3.63328i 0.238686 0.121788i
\(891\) 7.80508 + 14.6023i 0.261480 + 0.489194i
\(892\) 27.6542 10.2379i 0.925931 0.342792i
\(893\) 77.9591 + 7.67830i 2.60880 + 0.256945i
\(894\) −17.2937 + 11.0843i −0.578389 + 0.370715i
\(895\) −14.1866 −0.474205
\(896\) −26.0524 + 44.8583i −0.870349 + 1.49861i
\(897\) −1.39324 −0.0465189
\(898\) 9.60792 6.15814i 0.320621 0.205500i
\(899\) −34.3248 3.38069i −1.14480 0.112752i
\(900\) −2.74131 7.40468i −0.0913770 0.246823i
\(901\) 1.09654 + 2.05149i 0.0365312 + 0.0683450i
\(902\) −17.9166 + 9.14180i −0.596557 + 0.304389i
\(903\) −13.3510 67.1198i −0.444292 2.23361i
\(904\) 4.25327 + 7.22846i 0.141462 + 0.240415i
\(905\) −1.77844 0.353754i −0.0591174 0.0117592i
\(906\) −8.55020 4.78195i −0.284061 0.158870i
\(907\) −37.3766 30.6742i −1.24107 1.01852i −0.998833 0.0483034i \(-0.984619\pi\)
−0.242238 0.970217i \(-0.577881\pi\)
\(908\) −14.9355 + 3.91553i −0.495653 + 0.129942i
\(909\) 9.79974 + 5.23807i 0.325037 + 0.173736i
\(910\) 1.03161 + 1.07172i 0.0341975 + 0.0355271i
\(911\) 19.7828 + 47.7600i 0.655435 + 1.58236i 0.804779 + 0.593574i \(0.202284\pi\)
−0.149345 + 0.988785i \(0.547716\pi\)
\(912\) −54.5384 42.7937i −1.80595 1.41704i
\(913\) −6.28459 + 15.1723i −0.207989 + 0.502131i
\(914\) −0.283173 + 0.111017i −0.00936651 + 0.00367213i
\(915\) −35.6112 + 10.8025i −1.17727 + 0.357121i
\(916\) 37.4244 42.2118i 1.23654 1.39472i
\(917\) 2.71148 + 27.5301i 0.0895408 + 0.909123i
\(918\) −5.83172 0.686864i −0.192475 0.0226699i
\(919\) 5.58757 3.73349i 0.184317 0.123157i −0.459989 0.887925i \(-0.652147\pi\)
0.644305 + 0.764768i \(0.277147\pi\)
\(920\) 6.11792 + 2.24516i 0.201702 + 0.0740208i
\(921\) −33.2796 + 49.8064i −1.09660 + 1.64118i
\(922\) 26.8187 2.12603i 0.883226 0.0700172i
\(923\) −2.03069 0.616002i −0.0668409 0.0202760i
\(924\) −39.8467 64.8580i −1.31086 2.13367i
\(925\) 5.73932 + 6.99338i 0.188708 + 0.229941i
\(926\) −35.1781 24.4880i −1.15602 0.804727i
\(927\) −40.6994 + 40.6994i −1.33674 + 1.33674i
\(928\) −40.5702 + 16.9401i −1.33178 + 0.556087i
\(929\) −14.5122 14.5122i −0.476129 0.476129i 0.427762 0.903891i \(-0.359302\pi\)
−0.903891 + 0.427762i \(0.859302\pi\)
\(930\) 2.91747 + 16.2837i 0.0956676 + 0.533965i
\(931\) 71.2741 58.4931i 2.33591 1.91703i
\(932\) −5.38512 33.7517i −0.176396 1.10557i
\(933\) 11.2177 36.9799i 0.367252 1.21067i
\(934\) −26.6869 + 31.2824i −0.873223 + 1.02359i
\(935\) 4.35128 + 2.90743i 0.142302 + 0.0950832i
\(936\) −2.18643 1.33472i −0.0714657 0.0436266i
\(937\) 7.72860 + 11.5667i 0.252482 + 0.377866i 0.935961 0.352104i \(-0.114534\pi\)
−0.683479 + 0.729971i \(0.739534\pi\)
\(938\) −46.4546 58.8585i −1.51680 1.92180i
\(939\) 19.0830 1.87951i 0.622750 0.0613355i
\(940\) −22.5224 7.78137i −0.734599 0.253800i
\(941\) −6.03679 19.9006i −0.196794 0.648742i −0.998685 0.0512719i \(-0.983672\pi\)
0.801891 0.597471i \(-0.203828\pi\)
\(942\) 0.551193 1.26209i 0.0179588 0.0411211i
\(943\) −9.61396 3.98223i −0.313074 0.129679i
\(944\) 37.6258 + 14.6278i 1.22462 + 0.476094i
\(945\) −10.5843 + 4.38416i −0.344307 + 0.142617i
\(946\) 0.480768 25.2131i 0.0156311 0.819749i
\(947\) −13.3621 + 24.9988i −0.434211 + 0.812352i −0.999925 0.0122498i \(-0.996101\pi\)
0.565714 + 0.824602i \(0.308601\pi\)
\(948\) 7.65897 55.8409i 0.248752 1.81363i
\(949\) 0.0916277 0.111649i 0.00297436 0.00362427i
\(950\) 8.94785 2.52905i 0.290306 0.0820533i
\(951\) 13.6809 68.7784i 0.443633 2.23029i
\(952\) −21.5161 1.23201i −0.697341 0.0399298i
\(953\) 44.0125 8.75463i 1.42571 0.283590i 0.578859 0.815428i \(-0.303498\pi\)
0.846846 + 0.531837i \(0.178498\pi\)
\(954\) −7.43414 2.41082i −0.240689 0.0780532i
\(955\) 5.43278 2.90388i 0.175801 0.0939674i
\(956\) 29.1861 + 31.5013i 0.943945 + 1.01883i
\(957\) 6.32343 64.2029i 0.204407 2.07538i
\(958\) −1.36756 + 6.24996i −0.0441837 + 0.201927i
\(959\) 1.08016i 0.0348803i
\(960\) 13.1114 + 16.5154i 0.423168 + 0.533032i
\(961\) 11.3055i 0.364692i
\(962\) 2.86725 + 0.627384i 0.0924438 + 0.0202277i
\(963\) −3.75026 + 38.0770i −0.120850 + 1.22701i
\(964\) −58.6025 2.23570i −1.88746 0.0720070i
\(965\) 4.79834 2.56477i 0.154464 0.0825628i
\(966\) 12.1481 37.4606i 0.390859 1.20528i
\(967\) −50.2307 + 9.99152i −1.61531 + 0.321305i −0.918340 0.395793i \(-0.870470\pi\)
−0.696972 + 0.717098i \(0.745470\pi\)
\(968\) 1.00843 + 2.89211i 0.0324122 + 0.0929560i
\(969\) 5.61867 28.2470i 0.180498 0.907423i
\(970\) 2.30544 + 8.15671i 0.0740233 + 0.261896i
\(971\) −36.0642 + 43.9443i −1.15735 + 1.41024i −0.261895 + 0.965096i \(0.584348\pi\)
−0.895459 + 0.445144i \(0.853152\pi\)
\(972\) −34.0235 + 25.8161i −1.09130 + 0.828051i
\(973\) 38.3670 71.7797i 1.22999 2.30115i
\(974\) 29.9205 + 0.570529i 0.958715 + 0.0182809i
\(975\) 0.558659 0.231404i 0.0178914 0.00741086i
\(976\) 46.2563 32.3955i 1.48063 1.03695i
\(977\) −30.8402 12.7744i −0.986666 0.408691i −0.169775 0.985483i \(-0.554304\pi\)
−0.816891 + 0.576792i \(0.804304\pi\)
\(978\) 2.59893 + 1.13504i 0.0831048 + 0.0362944i
\(979\) −5.16737 17.0345i −0.165150 0.544426i
\(980\) −25.2211 + 12.2686i −0.805659 + 0.391906i
\(981\) −14.1420 + 1.39287i −0.451520 + 0.0444709i
\(982\) 22.6634 17.8873i 0.723218 0.570807i
\(983\) −23.4050 35.0281i −0.746505 1.11722i −0.989121 0.147101i \(-0.953006\pi\)
0.242617 0.970122i \(-0.421994\pi\)
\(984\) −19.8382 27.2071i −0.632418 0.867331i
\(985\) −8.78844 5.87225i −0.280023 0.187105i
\(986\) −13.8957 11.8544i −0.442529 0.377520i
\(987\) −41.7997 + 137.795i −1.33050 + 4.38607i
\(988\) 1.77037 2.44255i 0.0563230 0.0777078i
\(989\) 10.0850 8.27658i 0.320686 0.263180i
\(990\) −17.3067 + 3.10075i −0.550043 + 0.0985482i
\(991\) 19.4716 + 19.4716i 0.618535 + 0.618535i 0.945156 0.326620i \(-0.105910\pi\)
−0.326620 + 0.945156i \(0.605910\pi\)
\(992\) −11.8970 22.1062i −0.377731 0.701874i
\(993\) −10.7755 + 10.7755i −0.341949 + 0.341949i
\(994\) 34.2690 49.2288i 1.08695 1.56144i
\(995\) 16.5102 + 20.1178i 0.523409 + 0.637776i
\(996\) −26.7394 6.38738i −0.847270 0.202392i
\(997\) −20.2827 6.15268i −0.642359 0.194857i −0.0477330 0.998860i \(-0.515200\pi\)
−0.594626 + 0.804003i \(0.702700\pi\)
\(998\) −3.08342 38.8956i −0.0976040 1.23122i
\(999\) −12.5584 + 18.7950i −0.397332 + 0.594649i
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 640.2.bm.a.221.43 1024
128.117 even 32 inner 640.2.bm.a.501.43 yes 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
640.2.bm.a.221.43 1024 1.1 even 1 trivial
640.2.bm.a.501.43 yes 1024 128.117 even 32 inner