Properties

Label 605.2.u.a.4.14
Level $605$
Weight $2$
Character 605.4
Analytic conductor $4.831$
Analytic rank $0$
Dimension $2560$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [605,2,Mod(4,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([55, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.u (of order \(110\), degree \(40\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(2560\)
Relative dimension: \(64\) over \(\Q(\zeta_{110})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{110}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 605.4
Dual form 605.2.u.a.454.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.109164 + 1.90906i) q^{2} +(-0.681776 - 0.221522i) q^{3} +(-1.64564 - 0.188819i) q^{4} +(1.44293 - 1.70820i) q^{5} +(0.497325 - 1.27737i) q^{6} +(0.922133 - 2.18203i) q^{7} +(-0.112026 + 0.647336i) q^{8} +(-2.01131 - 1.46130i) q^{9} +O(q^{10})\) \(q+(-0.109164 + 1.90906i) q^{2} +(-0.681776 - 0.221522i) q^{3} +(-1.64564 - 0.188819i) q^{4} +(1.44293 - 1.70820i) q^{5} +(0.497325 - 1.27737i) q^{6} +(0.922133 - 2.18203i) q^{7} +(-0.112026 + 0.647336i) q^{8} +(-2.01131 - 1.46130i) q^{9} +(3.10355 + 2.94111i) q^{10} +(-3.11208 - 1.14671i) q^{11} +(1.08013 + 0.493278i) q^{12} +(0.577163 + 1.02202i) q^{13} +(4.06497 + 1.99861i) q^{14} +(-1.36216 + 0.844972i) q^{15} +(-4.45035 - 1.03488i) q^{16} +(-1.59137 - 4.46013i) q^{17} +(3.00927 - 3.68019i) q^{18} +(0.105345 - 3.68754i) q^{19} +(-2.69708 + 2.53863i) q^{20} +(-1.11206 + 1.28338i) q^{21} +(2.52886 - 5.81598i) q^{22} +(6.38102 - 5.52919i) q^{23} +(0.219776 - 0.416522i) q^{24} +(-0.835926 - 4.92963i) q^{25} +(-2.01411 + 0.990272i) q^{26} +(2.31163 + 3.18169i) q^{27} +(-1.92951 + 3.41671i) q^{28} +(-3.95364 - 5.78201i) q^{29} +(-1.46440 - 2.69268i) q^{30} +(-1.62825 + 8.03572i) q^{31} +(2.09130 - 7.12233i) q^{32} +(1.86772 + 1.47119i) q^{33} +(8.68839 - 2.55114i) q^{34} +(-2.39678 - 4.72370i) q^{35} +(3.03396 + 2.78454i) q^{36} +(0.680518 + 0.741473i) q^{37} +(7.02825 + 0.603657i) q^{38} +(-0.167095 - 0.824645i) q^{39} +(0.944138 + 1.12542i) q^{40} +(0.428109 + 1.62869i) q^{41} +(-2.32866 - 2.26308i) q^{42} +(-1.26060 + 0.181247i) q^{43} +(4.90484 + 2.47469i) q^{44} +(-5.39836 + 1.32717i) q^{45} +(9.85898 + 12.7854i) q^{46} +(3.75143 + 4.58781i) q^{47} +(2.80489 + 1.69141i) q^{48} +(0.967642 + 0.995680i) q^{49} +(9.50222 - 1.05770i) q^{50} +(0.0969397 + 3.39333i) q^{51} +(-0.756824 - 1.79086i) q^{52} +(2.44653 + 10.5209i) q^{53} +(-6.32638 + 4.06572i) q^{54} +(-6.44932 + 3.66146i) q^{55} +(1.30920 + 0.841374i) q^{56} +(-0.888695 + 2.49074i) q^{57} +(11.4698 - 6.91655i) q^{58} +(3.06310 - 11.6533i) q^{59} +(2.40117 - 1.13332i) q^{60} +(-3.87570 + 0.221620i) q^{61} +(-15.1629 - 3.98564i) q^{62} +(-5.04329 + 3.04121i) q^{63} +(4.76193 + 1.69905i) q^{64} +(2.57863 + 0.488792i) q^{65} +(-3.01249 + 3.40499i) q^{66} +(1.35968 + 2.11570i) q^{67} +(1.77666 + 7.64024i) q^{68} +(-5.57526 + 2.35613i) q^{69} +(9.27948 - 4.05995i) q^{70} +(5.53559 - 7.17868i) q^{71} +(1.17127 - 1.13829i) q^{72} +(-6.28183 - 3.78808i) q^{73} +(-1.48981 + 1.21821i) q^{74} +(-0.522109 + 3.54608i) q^{75} +(-0.869639 + 6.04847i) q^{76} +(-5.37190 + 5.73324i) q^{77} +(1.59254 - 0.228973i) q^{78} +(5.66584 - 5.83001i) q^{79} +(-8.18932 + 6.10885i) q^{80} +(1.43355 + 4.41202i) q^{81} +(-3.15601 + 0.639491i) q^{82} +(8.50930 + 0.730864i) q^{83} +(2.07237 - 1.90200i) q^{84} +(-9.91505 - 3.71725i) q^{85} +(-0.208399 - 2.42634i) q^{86} +(1.41465 + 4.81785i) q^{87} +(1.09094 - 1.88610i) q^{88} +(7.51391 + 2.20628i) q^{89} +(-1.94435 - 10.4507i) q^{90} +(2.76231 - 0.316945i) q^{91} +(-11.5449 + 7.89418i) q^{92} +(2.89019 - 5.11786i) q^{93} +(-9.16794 + 6.66090i) q^{94} +(-6.14708 - 5.50081i) q^{95} +(-3.00356 + 4.39256i) q^{96} +(-8.27728 - 4.36747i) q^{97} +(-2.00645 + 1.73860i) q^{98} +(4.58367 + 6.85406i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2560 q - 144 q^{4} - 43 q^{5} - 114 q^{6} + 534 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2560 q - 144 q^{4} - 43 q^{5} - 114 q^{6} + 534 q^{9} - 22 q^{10} - 104 q^{11} - 80 q^{14} - 58 q^{15} - 40 q^{16} - 94 q^{19} - 32 q^{20} - 162 q^{21} - 248 q^{24} - 25 q^{25} - 124 q^{26} - 90 q^{29} - 103 q^{30} - 102 q^{31} - 56 q^{34} - 66 q^{35} - 24 q^{36} - 184 q^{39} - 45 q^{40} - 36 q^{41} - 92 q^{44} - 2 q^{45} - 26 q^{46} - 182 q^{49} - 94 q^{50} + 108 q^{51} - 180 q^{54} + 52 q^{55} + 16 q^{56} - 96 q^{59} - 63 q^{60} - 48 q^{61} - 124 q^{64} - 37 q^{65} - 212 q^{66} - 170 q^{69} + 30 q^{70} - 194 q^{71} - 136 q^{74} - 46 q^{75} - 188 q^{76} - 170 q^{79} + 65 q^{80} - 730 q^{81} - 166 q^{84} - 58 q^{85} - 126 q^{86} + 38 q^{89} - 144 q^{90} - 10 q^{91} + 8 q^{94} - 180 q^{95} - 68 q^{96} + 226 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.109164 + 1.90906i −0.0771907 + 1.34991i 0.697051 + 0.717021i \(0.254495\pi\)
−0.774242 + 0.632890i \(0.781869\pi\)
\(3\) −0.681776 0.221522i −0.393623 0.127896i 0.105516 0.994418i \(-0.466350\pi\)
−0.499140 + 0.866522i \(0.666350\pi\)
\(4\) −1.64564 0.188819i −0.822819 0.0944097i
\(5\) 1.44293 1.70820i 0.645296 0.763932i
\(6\) 0.497325 1.27737i 0.203032 0.521484i
\(7\) 0.922133 2.18203i 0.348534 0.824729i −0.649398 0.760448i \(-0.724979\pi\)
0.997932 0.0642810i \(-0.0204754\pi\)
\(8\) −0.112026 + 0.647336i −0.0396072 + 0.228868i
\(9\) −2.01131 1.46130i −0.670435 0.487100i
\(10\) 3.10355 + 2.94111i 0.981430 + 0.930061i
\(11\) −3.11208 1.14671i −0.938329 0.345745i
\(12\) 1.08013 + 0.493278i 0.311806 + 0.142397i
\(13\) 0.577163 + 1.02202i 0.160076 + 0.283458i 0.939172 0.343446i \(-0.111594\pi\)
−0.779096 + 0.626905i \(0.784322\pi\)
\(14\) 4.06497 + 1.99861i 1.08641 + 0.534151i
\(15\) −1.36216 + 0.844972i −0.351708 + 0.218171i
\(16\) −4.45035 1.03488i −1.11259 0.258721i
\(17\) −1.59137 4.46013i −0.385964 1.08174i −0.964040 0.265758i \(-0.914378\pi\)
0.578076 0.815983i \(-0.303804\pi\)
\(18\) 3.00927 3.68019i 0.709292 0.867428i
\(19\) 0.105345 3.68754i 0.0241677 0.845981i −0.893600 0.448864i \(-0.851829\pi\)
0.917768 0.397117i \(-0.129989\pi\)
\(20\) −2.69708 + 2.53863i −0.603085 + 0.567656i
\(21\) −1.11206 + 1.28338i −0.242671 + 0.280057i
\(22\) 2.52886 5.81598i 0.539155 1.23997i
\(23\) 6.38102 5.52919i 1.33053 1.15291i 0.354560 0.935033i \(-0.384631\pi\)
0.975975 0.217882i \(-0.0699147\pi\)
\(24\) 0.219776 0.416522i 0.0448616 0.0850222i
\(25\) −0.835926 4.92963i −0.167185 0.985926i
\(26\) −2.01411 + 0.990272i −0.395000 + 0.194208i
\(27\) 2.31163 + 3.18169i 0.444873 + 0.612316i
\(28\) −1.92951 + 3.41671i −0.364642 + 0.645698i
\(29\) −3.95364 5.78201i −0.734172 1.07369i −0.994143 0.108076i \(-0.965531\pi\)
0.259971 0.965616i \(-0.416287\pi\)
\(30\) −1.46440 2.69268i −0.267363 0.491615i
\(31\) −1.62825 + 8.03572i −0.292442 + 1.44326i 0.516964 + 0.856007i \(0.327062\pi\)
−0.809406 + 0.587250i \(0.800211\pi\)
\(32\) 2.09130 7.12233i 0.369694 1.25906i
\(33\) 1.86772 + 1.47119i 0.325129 + 0.256102i
\(34\) 8.68839 2.55114i 1.49005 0.437517i
\(35\) −2.39678 4.72370i −0.405130 0.798451i
\(36\) 3.03396 + 2.78454i 0.505660 + 0.464090i
\(37\) 0.680518 + 0.741473i 0.111876 + 0.121897i 0.790154 0.612908i \(-0.210001\pi\)
−0.678278 + 0.734806i \(0.737273\pi\)
\(38\) 7.02825 + 0.603657i 1.14013 + 0.0979261i
\(39\) −0.167095 0.824645i −0.0267566 0.132049i
\(40\) 0.944138 + 1.12542i 0.149281 + 0.177945i
\(41\) 0.428109 + 1.62869i 0.0668593 + 0.254359i 0.992178 0.124831i \(-0.0398389\pi\)
−0.925319 + 0.379190i \(0.876203\pi\)
\(42\) −2.32866 2.26308i −0.359320 0.349201i
\(43\) −1.26060 + 0.181247i −0.192239 + 0.0276398i −0.237762 0.971323i \(-0.576414\pi\)
0.0455226 + 0.998963i \(0.485505\pi\)
\(44\) 4.90484 + 2.47469i 0.739433 + 0.373073i
\(45\) −5.39836 + 1.32717i −0.804740 + 0.197843i
\(46\) 9.85898 + 12.7854i 1.45363 + 1.88510i
\(47\) 3.75143 + 4.58781i 0.547203 + 0.669201i 0.971697 0.236230i \(-0.0759118\pi\)
−0.424494 + 0.905431i \(0.639548\pi\)
\(48\) 2.80489 + 1.69141i 0.404851 + 0.244134i
\(49\) 0.967642 + 0.995680i 0.138235 + 0.142240i
\(50\) 9.50222 1.05770i 1.34382 0.149581i
\(51\) 0.0969397 + 3.39333i 0.0135743 + 0.475162i
\(52\) −0.756824 1.79086i −0.104953 0.248348i
\(53\) 2.44653 + 10.5209i 0.336056 + 1.44515i 0.821160 + 0.570698i \(0.193327\pi\)
−0.485104 + 0.874456i \(0.661218\pi\)
\(54\) −6.32638 + 4.06572i −0.860912 + 0.553274i
\(55\) −6.44932 + 3.66146i −0.869626 + 0.493711i
\(56\) 1.30920 + 0.841374i 0.174950 + 0.112433i
\(57\) −0.888695 + 2.49074i −0.117710 + 0.329907i
\(58\) 11.4698 6.91655i 1.50606 0.908187i
\(59\) 3.06310 11.6533i 0.398782 1.51712i −0.400572 0.916265i \(-0.631189\pi\)
0.799355 0.600860i \(-0.205175\pi\)
\(60\) 2.40117 1.13332i 0.309989 0.146310i
\(61\) −3.87570 + 0.221620i −0.496232 + 0.0283756i −0.303414 0.952859i \(-0.598126\pi\)
−0.192818 + 0.981234i \(0.561763\pi\)
\(62\) −15.1629 3.98564i −1.92569 0.506176i
\(63\) −5.04329 + 3.04121i −0.635395 + 0.383157i
\(64\) 4.76193 + 1.69905i 0.595241 + 0.212382i
\(65\) 2.57863 + 0.488792i 0.319840 + 0.0606272i
\(66\) −3.01249 + 3.40499i −0.370811 + 0.419126i
\(67\) 1.35968 + 2.11570i 0.166111 + 0.258474i 0.914323 0.404986i \(-0.132724\pi\)
−0.748212 + 0.663460i \(0.769087\pi\)
\(68\) 1.77666 + 7.64024i 0.215452 + 0.926516i
\(69\) −5.57526 + 2.35613i −0.671183 + 0.283644i
\(70\) 9.27948 4.05995i 1.10911 0.485256i
\(71\) 5.53559 7.17868i 0.656954 0.851953i −0.339096 0.940752i \(-0.610121\pi\)
0.996050 + 0.0887991i \(0.0283029\pi\)
\(72\) 1.17127 1.13829i 0.138036 0.134148i
\(73\) −6.28183 3.78808i −0.735233 0.443362i 0.0987782 0.995109i \(-0.468507\pi\)
−0.834011 + 0.551748i \(0.813961\pi\)
\(74\) −1.48981 + 1.21821i −0.173186 + 0.141614i
\(75\) −0.522109 + 3.54608i −0.0602879 + 0.409466i
\(76\) −0.869639 + 6.04847i −0.0997544 + 0.693807i
\(77\) −5.37190 + 5.73324i −0.612185 + 0.653363i
\(78\) 1.59254 0.228973i 0.180320 0.0259260i
\(79\) 5.66584 5.83001i 0.637457 0.655928i −0.319016 0.947749i \(-0.603352\pi\)
0.956473 + 0.291822i \(0.0942614\pi\)
\(80\) −8.18932 + 6.10885i −0.915594 + 0.682990i
\(81\) 1.43355 + 4.41202i 0.159284 + 0.490224i
\(82\) −3.15601 + 0.639491i −0.348523 + 0.0706200i
\(83\) 8.50930 + 0.730864i 0.934017 + 0.0802228i 0.542601 0.839991i \(-0.317440\pi\)
0.391417 + 0.920214i \(0.371985\pi\)
\(84\) 2.07237 1.90200i 0.226114 0.207526i
\(85\) −9.91505 3.71725i −1.07544 0.403193i
\(86\) −0.208399 2.42634i −0.0224722 0.261639i
\(87\) 1.41465 + 4.81785i 0.151666 + 0.516528i
\(88\) 1.09094 1.88610i 0.116295 0.201059i
\(89\) 7.51391 + 2.20628i 0.796473 + 0.233866i 0.654557 0.756013i \(-0.272855\pi\)
0.141917 + 0.989879i \(0.454674\pi\)
\(90\) −1.94435 10.4507i −0.204953 1.10160i
\(91\) 2.76231 0.316945i 0.289568 0.0332249i
\(92\) −11.5449 + 7.89418i −1.20364 + 0.823025i
\(93\) 2.89019 5.11786i 0.299699 0.530698i
\(94\) −9.16794 + 6.66090i −0.945600 + 0.687019i
\(95\) −6.14708 5.50081i −0.630677 0.564371i
\(96\) −3.00356 + 4.39256i −0.306549 + 0.448314i
\(97\) −8.27728 4.36747i −0.840431 0.443450i −0.00958595 0.999954i \(-0.503051\pi\)
−0.830845 + 0.556504i \(0.812142\pi\)
\(98\) −2.00645 + 1.73860i −0.202682 + 0.175625i
\(99\) 4.58367 + 6.85406i 0.460676 + 0.688859i
\(100\) 0.444822 + 8.27022i 0.0444822 + 0.827022i
\(101\) −3.70811 9.52420i −0.368971 0.947693i −0.986882 0.161445i \(-0.948384\pi\)
0.617911 0.786248i \(-0.287979\pi\)
\(102\) −6.48867 0.185366i −0.642474 0.0183540i
\(103\) −8.25141 + 10.0911i −0.813036 + 0.994301i 0.186893 + 0.982380i \(0.440158\pi\)
−0.999929 + 0.0119205i \(0.996205\pi\)
\(104\) −0.726250 + 0.259126i −0.0712147 + 0.0254093i
\(105\) 0.587662 + 3.75144i 0.0573500 + 0.366103i
\(106\) −20.3521 + 3.52207i −1.97677 + 0.342093i
\(107\) 3.45064 7.01824i 0.333586 0.678479i −0.664014 0.747720i \(-0.731149\pi\)
0.997600 + 0.0692411i \(0.0220578\pi\)
\(108\) −3.20334 5.67238i −0.308242 0.545825i
\(109\) −6.70609 + 14.6843i −0.642327 + 1.40650i 0.255786 + 0.966733i \(0.417666\pi\)
−0.898113 + 0.439766i \(0.855061\pi\)
\(110\) −6.28592 12.7118i −0.599339 1.21203i
\(111\) −0.299708 0.656268i −0.0284470 0.0622902i
\(112\) −6.36197 + 8.75649i −0.601149 + 0.827411i
\(113\) −1.23546 + 7.13902i −0.116222 + 0.671583i 0.868262 + 0.496106i \(0.165237\pi\)
−0.984484 + 0.175476i \(0.943853\pi\)
\(114\) −4.65797 1.96847i −0.436259 0.184364i
\(115\) −0.237637 18.8783i −0.0221598 1.76041i
\(116\) 5.41450 + 10.2616i 0.502724 + 0.952767i
\(117\) 0.332630 2.89901i 0.0307517 0.268013i
\(118\) 21.9124 + 7.11977i 2.01720 + 0.655428i
\(119\) −11.1996 0.640416i −1.02667 0.0587068i
\(120\) −0.394384 0.976433i −0.0360022 0.0891357i
\(121\) 8.37013 + 7.13729i 0.760921 + 0.648845i
\(122\) 7.42314i 0.672059i
\(123\) 0.0689181 1.20524i 0.00621413 0.108673i
\(124\) 4.19680 12.9164i 0.376884 1.15993i
\(125\) −9.62699 5.68516i −0.861064 0.508496i
\(126\) −5.25532 9.95994i −0.468181 0.887302i
\(127\) 18.7407 + 7.29641i 1.66297 + 0.647452i 0.995285 0.0969955i \(-0.0309232\pi\)
0.667681 + 0.744447i \(0.267287\pi\)
\(128\) 2.01569 4.76969i 0.178163 0.421585i
\(129\) 0.899595 + 0.155681i 0.0792049 + 0.0137069i
\(130\) −1.21463 + 4.86940i −0.106530 + 0.427075i
\(131\) −0.315760 0.691418i −0.0275881 0.0604095i 0.895336 0.445391i \(-0.146935\pi\)
−0.922924 + 0.384981i \(0.874208\pi\)
\(132\) −2.79580 2.77371i −0.243343 0.241421i
\(133\) −7.94919 3.63027i −0.689282 0.314785i
\(134\) −4.18743 + 2.36475i −0.361739 + 0.204283i
\(135\) 8.77048 + 0.642202i 0.754843 + 0.0552719i
\(136\) 3.06548 0.530502i 0.262863 0.0454902i
\(137\) 2.79218 12.0073i 0.238552 1.02585i −0.708737 0.705472i \(-0.750735\pi\)
0.947289 0.320380i \(-0.103811\pi\)
\(138\) −3.88937 10.9007i −0.331085 0.927931i
\(139\) 6.05600 + 4.95196i 0.513663 + 0.420020i 0.853992 0.520286i \(-0.174175\pi\)
−0.340329 + 0.940306i \(0.610538\pi\)
\(140\) 3.05231 + 8.22606i 0.257967 + 0.695229i
\(141\) −1.54133 3.95888i −0.129804 0.333398i
\(142\) 13.1003 + 11.3514i 1.09935 + 0.952592i
\(143\) −0.624219 3.84246i −0.0521998 0.321323i
\(144\) 7.43874 + 8.58476i 0.619895 + 0.715397i
\(145\) −15.5817 1.58939i −1.29399 0.131992i
\(146\) 7.91744 11.5789i 0.655252 0.958275i
\(147\) −0.439149 0.893184i −0.0362204 0.0736686i
\(148\) −0.979881 1.34869i −0.0805457 0.110862i
\(149\) −10.4700 5.91268i −0.857735 0.484385i −0.000914495 1.00000i \(-0.500291\pi\)
−0.856821 + 0.515614i \(0.827564\pi\)
\(150\) −6.71268 1.38384i −0.548088 0.112990i
\(151\) −19.4944 + 2.23678i −1.58643 + 0.182026i −0.861851 0.507162i \(-0.830695\pi\)
−0.724583 + 0.689188i \(0.757967\pi\)
\(152\) 2.37528 + 0.481294i 0.192661 + 0.0390381i
\(153\) −3.31685 + 11.2962i −0.268151 + 0.913240i
\(154\) −10.3587 10.8812i −0.834727 0.876829i
\(155\) 11.3772 + 14.3763i 0.913839 + 1.15473i
\(156\) 0.119268 + 1.38862i 0.00954912 + 0.111178i
\(157\) −0.545908 + 0.594806i −0.0435682 + 0.0474707i −0.758143 0.652089i \(-0.773893\pi\)
0.714575 + 0.699559i \(0.246620\pi\)
\(158\) 10.5113 + 11.4529i 0.836238 + 0.911141i
\(159\) 0.662628 7.71484i 0.0525498 0.611827i
\(160\) −9.14880 13.8494i −0.723276 1.09489i
\(161\) −6.18069 19.0222i −0.487107 1.49916i
\(162\) −8.57931 + 2.25511i −0.674054 + 0.177178i
\(163\) 2.47011 + 2.40055i 0.193474 + 0.188026i 0.787305 0.616564i \(-0.211476\pi\)
−0.593831 + 0.804590i \(0.702385\pi\)
\(164\) −0.396983 2.76108i −0.0309991 0.215604i
\(165\) 5.20808 1.06763i 0.405449 0.0831147i
\(166\) −2.32418 + 16.1650i −0.180391 + 1.25465i
\(167\) 5.62890 4.34053i 0.435578 0.335880i −0.369312 0.929306i \(-0.620407\pi\)
0.804889 + 0.593425i \(0.202225\pi\)
\(168\) −0.706200 0.863646i −0.0544845 0.0666318i
\(169\) 6.00175 9.95279i 0.461673 0.765599i
\(170\) 8.17884 18.5227i 0.627288 1.42062i
\(171\) −5.60048 + 7.26284i −0.428280 + 0.555403i
\(172\) 2.10871 0.0602410i 0.160788 0.00459333i
\(173\) −0.0967753 0.228998i −0.00735769 0.0174104i 0.917404 0.397958i \(-0.130281\pi\)
−0.924761 + 0.380548i \(0.875736\pi\)
\(174\) −9.35200 + 2.17472i −0.708974 + 0.164865i
\(175\) −11.5274 2.72176i −0.871391 0.205746i
\(176\) 12.6632 + 8.32389i 0.954521 + 0.627437i
\(177\) −4.66981 + 7.26636i −0.351004 + 0.546173i
\(178\) −5.03218 + 14.1037i −0.377178 + 1.05712i
\(179\) −7.97244 13.2208i −0.595888 0.988169i −0.997382 0.0723078i \(-0.976964\pi\)
0.401494 0.915861i \(-0.368491\pi\)
\(180\) 9.13435 1.16473i 0.680834 0.0868140i
\(181\) 2.63203 0.150505i 0.195637 0.0111869i 0.0410045 0.999159i \(-0.486944\pi\)
0.154633 + 0.987972i \(0.450581\pi\)
\(182\) 0.303523 + 5.30801i 0.0224986 + 0.393456i
\(183\) 2.69145 + 0.707458i 0.198958 + 0.0522968i
\(184\) 2.86440 + 4.75008i 0.211167 + 0.350181i
\(185\) 2.24852 0.0925725i 0.165315 0.00680607i
\(186\) 9.45481 + 6.07624i 0.693260 + 0.445531i
\(187\) −0.161980 + 15.7051i −0.0118452 + 1.14847i
\(188\) −5.30723 8.25822i −0.387070 0.602292i
\(189\) 9.07416 2.11011i 0.660048 0.153488i
\(190\) 11.1724 11.1347i 0.810533 0.807793i
\(191\) 0.602650 + 21.0955i 0.0436062 + 1.52642i 0.667324 + 0.744768i \(0.267440\pi\)
−0.623718 + 0.781650i \(0.714379\pi\)
\(192\) −2.87019 2.21325i −0.207138 0.159727i
\(193\) 3.20806 3.11772i 0.230921 0.224418i −0.572385 0.819985i \(-0.693982\pi\)
0.803306 + 0.595567i \(0.203072\pi\)
\(194\) 9.24136 15.3251i 0.663491 1.10028i
\(195\) −1.64977 0.904470i −0.118142 0.0647705i
\(196\) −1.40438 1.82124i −0.100313 0.130088i
\(197\) −6.26367 0.900579i −0.446268 0.0641636i −0.0844823 0.996425i \(-0.526924\pi\)
−0.361786 + 0.932261i \(0.617833\pi\)
\(198\) −13.5852 + 8.00229i −0.965458 + 0.568698i
\(199\) −1.89230 13.1612i −0.134142 0.932975i −0.940075 0.340968i \(-0.889245\pi\)
0.805933 0.592006i \(-0.201664\pi\)
\(200\) 3.28477 + 0.0111210i 0.232269 + 0.000786371i
\(201\) −0.458320 1.74363i −0.0323274 0.122986i
\(202\) 18.5871 6.03931i 1.30778 0.424924i
\(203\) −16.2623 + 3.29517i −1.14139 + 0.231275i
\(204\) 0.481199 5.60250i 0.0336907 0.392254i
\(205\) 3.39987 + 1.61879i 0.237457 + 0.113061i
\(206\) −18.3637 16.8540i −1.27946 1.17428i
\(207\) −20.9140 + 1.79630i −1.45362 + 0.124852i
\(208\) −1.51090 5.14566i −0.104762 0.356787i
\(209\) −4.55637 + 11.3551i −0.315171 + 0.785452i
\(210\) −7.22589 + 0.712361i −0.498634 + 0.0491576i
\(211\) −1.60110 + 7.90175i −0.110224 + 0.543979i 0.886473 + 0.462779i \(0.153148\pi\)
−0.996698 + 0.0811995i \(0.974125\pi\)
\(212\) −2.03955 17.7755i −0.140077 1.22083i
\(213\) −5.36427 + 3.66799i −0.367554 + 0.251327i
\(214\) 13.0216 + 7.35362i 0.890136 + 0.502683i
\(215\) −1.50934 + 2.41488i −0.102936 + 0.164694i
\(216\) −2.31858 + 1.13997i −0.157760 + 0.0775652i
\(217\) 16.0327 + 10.9629i 1.08837 + 0.744209i
\(218\) −27.3011 14.4053i −1.84907 0.975652i
\(219\) 3.44365 + 3.97419i 0.232701 + 0.268551i
\(220\) 11.3046 4.80769i 0.762156 0.324134i
\(221\) 3.63988 4.20064i 0.244845 0.282566i
\(222\) 1.28557 0.500519i 0.0862821 0.0335927i
\(223\) 24.8579 + 0.710133i 1.66461 + 0.0475540i 0.848119 0.529806i \(-0.177735\pi\)
0.816489 + 0.577360i \(0.195917\pi\)
\(224\) −13.6127 11.1310i −0.909535 0.743723i
\(225\) −5.52236 + 11.1365i −0.368157 + 0.742435i
\(226\) −13.4940 3.13789i −0.897606 0.208729i
\(227\) −0.668398 3.86230i −0.0443631 0.256350i 0.954800 0.297248i \(-0.0960689\pi\)
−0.999163 + 0.0408983i \(0.986978\pi\)
\(228\) 1.93277 3.93106i 0.128001 0.260341i
\(229\) 0.334887 0.189119i 0.0221299 0.0124973i −0.480628 0.876924i \(-0.659591\pi\)
0.502758 + 0.864427i \(0.332319\pi\)
\(230\) 36.0658 + 1.60717i 2.37811 + 0.105974i
\(231\) 4.93247 2.71879i 0.324533 0.178883i
\(232\) 4.18581 1.91160i 0.274812 0.125503i
\(233\) 0.774234 1.06564i 0.0507218 0.0698125i −0.782903 0.622144i \(-0.786262\pi\)
0.833624 + 0.552332i \(0.186262\pi\)
\(234\) 5.49808 + 0.951479i 0.359420 + 0.0622002i
\(235\) 13.2500 + 0.211657i 0.864332 + 0.0138069i
\(236\) −7.24112 + 18.5987i −0.471357 + 1.21067i
\(237\) −5.15431 + 2.71965i −0.334808 + 0.176660i
\(238\) 2.44519 21.3108i 0.158498 1.38137i
\(239\) −4.54712 + 13.9946i −0.294129 + 0.905235i 0.689384 + 0.724396i \(0.257881\pi\)
−0.983513 + 0.180839i \(0.942119\pi\)
\(240\) 6.93653 2.35074i 0.447751 0.151740i
\(241\) −17.6391 −1.13624 −0.568119 0.822947i \(-0.692329\pi\)
−0.568119 + 0.822947i \(0.692329\pi\)
\(242\) −14.5393 + 15.2000i −0.934619 + 0.977090i
\(243\) 15.1239i 0.970199i
\(244\) 6.41984 + 0.367100i 0.410988 + 0.0235011i
\(245\) 3.09706 0.216237i 0.197864 0.0138149i
\(246\) 2.29335 + 0.263138i 0.146219 + 0.0167771i
\(247\) 3.82956 2.02065i 0.243669 0.128571i
\(248\) −5.01941 1.95423i −0.318733 0.124094i
\(249\) −5.63953 2.38329i −0.357391 0.151035i
\(250\) 11.9042 17.7579i 0.752890 1.12311i
\(251\) 8.61669 + 6.26039i 0.543881 + 0.395152i 0.825524 0.564367i \(-0.190880\pi\)
−0.281644 + 0.959519i \(0.590880\pi\)
\(252\) 8.87367 4.05247i 0.558988 0.255281i
\(253\) −26.1986 + 9.89013i −1.64709 + 0.621787i
\(254\) −15.9751 + 34.9806i −1.00237 + 2.19488i
\(255\) 5.93638 + 4.73074i 0.371751 + 0.296250i
\(256\) 17.9600 + 8.83034i 1.12250 + 0.551897i
\(257\) 4.59269 + 26.5386i 0.286484 + 1.65543i 0.677852 + 0.735198i \(0.262911\pi\)
−0.391368 + 0.920234i \(0.627998\pi\)
\(258\) −0.395408 + 1.70039i −0.0246170 + 0.105861i
\(259\) 2.24544 0.801173i 0.139525 0.0497824i
\(260\) −4.15120 1.29127i −0.257446 0.0800811i
\(261\) −0.497273 + 17.4068i −0.0307804 + 1.07746i
\(262\) 1.35443 0.527327i 0.0836769 0.0325784i
\(263\) −18.1983 15.7689i −1.12216 0.972354i −0.122360 0.992486i \(-0.539046\pi\)
−0.999797 + 0.0201313i \(0.993592\pi\)
\(264\) −1.16159 + 1.04423i −0.0714909 + 0.0642681i
\(265\) 21.5020 + 11.0017i 1.32086 + 0.675828i
\(266\) 7.79818 14.7792i 0.478137 0.906171i
\(267\) −4.63406 3.16869i −0.283600 0.193921i
\(268\) −1.83805 3.73841i −0.112277 0.228360i
\(269\) 6.32403 4.59468i 0.385583 0.280142i −0.378060 0.925781i \(-0.623409\pi\)
0.763643 + 0.645639i \(0.223409\pi\)
\(270\) −2.18342 + 16.6733i −0.132879 + 1.01470i
\(271\) 13.0567 + 19.0949i 0.793141 + 1.15993i 0.983975 + 0.178309i \(0.0570627\pi\)
−0.190834 + 0.981622i \(0.561119\pi\)
\(272\) 2.46644 + 21.4960i 0.149550 + 1.30339i
\(273\) −1.95348 0.395827i −0.118230 0.0239565i
\(274\) 22.6179 + 6.64120i 1.36639 + 0.401210i
\(275\) −3.05136 + 16.3000i −0.184004 + 0.982925i
\(276\) 9.61975 2.82461i 0.579041 0.170022i
\(277\) −2.30910 + 0.198329i −0.138740 + 0.0119164i −0.154738 0.987956i \(-0.549453\pi\)
0.0159971 + 0.999872i \(0.494908\pi\)
\(278\) −10.1147 + 11.0207i −0.606640 + 0.660978i
\(279\) 15.0175 13.7829i 0.899073 0.825162i
\(280\) 3.32632 1.02235i 0.198786 0.0610969i
\(281\) −0.840103 4.14607i −0.0501164 0.247334i 0.947191 0.320670i \(-0.103908\pi\)
−0.997307 + 0.0733362i \(0.976635\pi\)
\(282\) 7.72601 2.51033i 0.460077 0.149488i
\(283\) 20.3023 5.33654i 1.20685 0.317225i 0.404755 0.914425i \(-0.367357\pi\)
0.802092 + 0.597200i \(0.203720\pi\)
\(284\) −10.4651 + 10.7683i −0.620987 + 0.638980i
\(285\) 2.97237 + 5.11203i 0.176068 + 0.302810i
\(286\) 7.40363 0.772214i 0.437786 0.0456620i
\(287\) 3.94863 + 0.567727i 0.233080 + 0.0335119i
\(288\) −14.6141 + 11.2692i −0.861144 + 0.664042i
\(289\) −4.19990 + 3.43424i −0.247053 + 0.202014i
\(290\) 4.73521 29.5729i 0.278061 1.73658i
\(291\) 4.67576 + 4.81124i 0.274098 + 0.282040i
\(292\) 9.62236 + 7.41995i 0.563106 + 0.434220i
\(293\) −20.7665 + 0.593251i −1.21319 + 0.0346581i −0.629293 0.777168i \(-0.716655\pi\)
−0.583899 + 0.811826i \(0.698474\pi\)
\(294\) 1.75308 0.740859i 0.102242 0.0432078i
\(295\) −15.4863 22.0472i −0.901648 1.28364i
\(296\) −0.556218 + 0.357460i −0.0323295 + 0.0207769i
\(297\) −3.54553 12.5524i −0.205732 0.728366i
\(298\) 12.4306 19.3424i 0.720086 1.12048i
\(299\) 9.33385 + 3.33031i 0.539790 + 0.192597i
\(300\) 1.52877 5.73697i 0.0882635 0.331224i
\(301\) −0.766954 + 2.91779i −0.0442065 + 0.168179i
\(302\) −2.14205 37.4602i −0.123261 2.15559i
\(303\) 0.418275 + 7.31480i 0.0240293 + 0.420224i
\(304\) −4.28500 + 16.3018i −0.245762 + 0.934975i
\(305\) −5.21377 + 6.94026i −0.298540 + 0.397398i
\(306\) −21.2030 7.56521i −1.21209 0.432474i
\(307\) 16.7452 26.0561i 0.955700 1.48710i 0.0843510 0.996436i \(-0.473118\pi\)
0.871349 0.490663i \(-0.163245\pi\)
\(308\) 9.92275 8.42052i 0.565401 0.479804i
\(309\) 7.86100 5.05196i 0.447197 0.287396i
\(310\) −28.6873 + 20.1504i −1.62933 + 1.14447i
\(311\) −5.93605 + 2.50860i −0.336603 + 0.142250i −0.551019 0.834493i \(-0.685761\pi\)
0.214416 + 0.976742i \(0.431215\pi\)
\(312\) 0.552542 0.0157848i 0.0312815 0.000893641i
\(313\) −11.3650 8.76374i −0.642389 0.495356i 0.236969 0.971517i \(-0.423846\pi\)
−0.879358 + 0.476162i \(0.842028\pi\)
\(314\) −1.07593 1.10710i −0.0607181 0.0624775i
\(315\) −2.08208 + 13.0032i −0.117312 + 0.732648i
\(316\) −10.4247 + 8.52427i −0.586438 + 0.479528i
\(317\) 21.4299 16.5250i 1.20363 0.928134i 0.204909 0.978781i \(-0.434310\pi\)
0.998717 + 0.0506473i \(0.0161284\pi\)
\(318\) 14.6558 + 2.10718i 0.821855 + 0.118165i
\(319\) 5.67378 + 22.5278i 0.317671 + 1.26131i
\(320\) 9.77344 5.68274i 0.546352 0.317675i
\(321\) −3.90726 + 4.02047i −0.218082 + 0.224401i
\(322\) 36.9893 9.72278i 2.06133 0.541830i
\(323\) −16.6146 + 5.39840i −0.924460 + 0.300375i
\(324\) −1.52603 7.53127i −0.0847796 0.418404i
\(325\) 4.55573 3.69953i 0.252706 0.205213i
\(326\) −4.85245 + 4.45354i −0.268752 + 0.246659i
\(327\) 7.82494 8.52584i 0.432720 0.471480i
\(328\) −1.10227 + 0.0946742i −0.0608628 + 0.00522751i
\(329\) 13.4701 3.95517i 0.742628 0.218055i
\(330\) 1.46963 + 10.0591i 0.0809006 + 0.553735i
\(331\) 21.7023 + 6.37236i 1.19286 + 0.350257i 0.817121 0.576467i \(-0.195569\pi\)
0.375744 + 0.926723i \(0.377387\pi\)
\(332\) −13.8652 2.80946i −0.760953 0.154189i
\(333\) −0.285215 2.48577i −0.0156297 0.136219i
\(334\) 7.67187 + 11.2198i 0.419786 + 0.613918i
\(335\) 5.57596 + 0.730192i 0.304647 + 0.0398946i
\(336\) 6.27719 4.56065i 0.342449 0.248804i
\(337\) 13.5751 + 27.6103i 0.739480 + 1.50403i 0.859433 + 0.511248i \(0.170816\pi\)
−0.119953 + 0.992780i \(0.538274\pi\)
\(338\) 18.3453 + 12.5442i 0.997854 + 0.682315i
\(339\) 2.42376 4.59353i 0.131640 0.249486i
\(340\) 15.6147 + 7.98941i 0.846826 + 0.433286i
\(341\) 14.2818 23.1407i 0.773405 1.25314i
\(342\) −13.2538 11.4845i −0.716685 0.621011i
\(343\) 18.5172 7.20940i 0.999835 0.389271i
\(344\) 0.0238922 0.836335i 0.00128818 0.0450922i
\(345\) −4.01995 + 12.9234i −0.216427 + 0.695773i
\(346\) 0.447735 0.159752i 0.0240704 0.00858830i
\(347\) −2.12249 + 9.12740i −0.113941 + 0.489985i 0.885727 + 0.464207i \(0.153661\pi\)
−0.999668 + 0.0257774i \(0.991794\pi\)
\(348\) −1.41830 8.19555i −0.0760286 0.439328i
\(349\) 6.16488 + 3.03107i 0.329998 + 0.162249i 0.598698 0.800975i \(-0.295685\pi\)
−0.268700 + 0.963224i \(0.586594\pi\)
\(350\) 6.45439 21.7095i 0.345001 1.16042i
\(351\) −1.91757 + 4.19889i −0.102352 + 0.224120i
\(352\) −14.6755 + 19.7672i −0.782209 + 1.05359i
\(353\) 16.5504 7.55830i 0.880888 0.402288i 0.0769733 0.997033i \(-0.475474\pi\)
0.803914 + 0.594745i \(0.202747\pi\)
\(354\) −13.3622 9.70818i −0.710191 0.515984i
\(355\) −4.27521 19.8142i −0.226904 1.05163i
\(356\) −11.9486 5.04952i −0.633274 0.267624i
\(357\) 7.49374 + 2.91758i 0.396611 + 0.154415i
\(358\) 26.1096 13.7766i 1.37994 0.728118i
\(359\) 25.8690 + 2.96819i 1.36532 + 0.156655i 0.765476 0.643465i \(-0.222504\pi\)
0.599840 + 0.800120i \(0.295231\pi\)
\(360\) −0.254371 3.64324i −0.0134065 0.192015i
\(361\) 5.38213 + 0.307761i 0.283270 + 0.0161980i
\(362\) 5.04114i 0.264956i
\(363\) −4.12548 6.72020i −0.216532 0.352719i
\(364\) −4.60560 −0.241399
\(365\) −15.5350 + 5.26473i −0.813141 + 0.275568i
\(366\) −1.64439 + 5.06091i −0.0859537 + 0.264538i
\(367\) 0.330038 2.87641i 0.0172278 0.150148i −0.982027 0.188739i \(-0.939560\pi\)
0.999255 + 0.0385917i \(0.0122872\pi\)
\(368\) −34.1199 + 18.0032i −1.77862 + 0.938482i
\(369\) 1.51895 3.90139i 0.0790734 0.203098i
\(370\) −0.0687315 + 4.30268i −0.00357318 + 0.223686i
\(371\) 25.2129 + 4.36326i 1.30899 + 0.226529i
\(372\) −5.72256 + 7.87642i −0.296701 + 0.408374i
\(373\) −21.7715 + 9.94270i −1.12728 + 0.514813i −0.889696 0.456553i \(-0.849084\pi\)
−0.237588 + 0.971366i \(0.576357\pi\)
\(374\) −29.9644 2.02367i −1.54942 0.104641i
\(375\) 5.30406 + 6.00860i 0.273900 + 0.310283i
\(376\) −3.39011 + 1.91449i −0.174832 + 0.0987321i
\(377\) 3.62745 7.37787i 0.186823 0.379980i
\(378\) 3.03775 + 17.5535i 0.156245 + 0.902854i
\(379\) 22.1214 + 5.14411i 1.13630 + 0.264235i 0.752122 0.659024i \(-0.229031\pi\)
0.384177 + 0.923259i \(0.374485\pi\)
\(380\) 9.07720 + 10.2130i 0.465651 + 0.523917i
\(381\) −11.1606 9.12599i −0.571776 0.467539i
\(382\) −40.3384 1.15238i −2.06389 0.0589607i
\(383\) 14.5255 5.65530i 0.742220 0.288972i 0.0383139 0.999266i \(-0.487801\pi\)
0.703906 + 0.710293i \(0.251438\pi\)
\(384\) −2.43084 + 2.80534i −0.124048 + 0.143159i
\(385\) 2.04229 + 17.4490i 0.104085 + 0.889281i
\(386\) 5.60172 + 6.46473i 0.285120 + 0.329046i
\(387\) 2.80030 + 1.47757i 0.142347 + 0.0751090i
\(388\) 12.7967 + 8.75019i 0.649656 + 0.444224i
\(389\) −7.96741 + 3.91731i −0.403964 + 0.198616i −0.631882 0.775065i \(-0.717717\pi\)
0.227918 + 0.973680i \(0.426808\pi\)
\(390\) 1.90679 3.05077i 0.0965538 0.154482i
\(391\) −34.8155 19.6612i −1.76069 0.994310i
\(392\) −0.752941 + 0.514848i −0.0380292 + 0.0260037i
\(393\) 0.0621130 + 0.541340i 0.00313318 + 0.0273070i
\(394\) 2.40303 11.8594i 0.121063 0.597469i
\(395\) −1.78346 18.0907i −0.0897357 0.910242i
\(396\) −6.24888 12.1448i −0.314018 0.610299i
\(397\) 8.45663 + 28.8006i 0.424426 + 1.44546i 0.843313 + 0.537423i \(0.180602\pi\)
−0.418887 + 0.908038i \(0.637580\pi\)
\(398\) 25.3322 2.17578i 1.26979 0.109062i
\(399\) 4.61538 + 4.23595i 0.231058 + 0.212063i
\(400\) −1.38143 + 22.8037i −0.0690716 + 1.14018i
\(401\) 2.29710 26.7446i 0.114712 1.33556i −0.682066 0.731290i \(-0.738918\pi\)
0.796778 0.604272i \(-0.206536\pi\)
\(402\) 3.37873 0.684620i 0.168516 0.0341457i
\(403\) −9.15245 + 2.97381i −0.455916 + 0.148136i
\(404\) 4.30385 + 16.3735i 0.214125 + 0.814615i
\(405\) 9.60514 + 3.91742i 0.477283 + 0.194658i
\(406\) −4.51542 31.4054i −0.224097 1.55863i
\(407\) −1.26758 3.08788i −0.0628314 0.153061i
\(408\) −2.20749 0.317389i −0.109287 0.0157131i
\(409\) −10.6598 13.8239i −0.527094 0.683548i 0.450806 0.892622i \(-0.351137\pi\)
−0.977900 + 0.209074i \(0.932955\pi\)
\(410\) −3.46151 + 6.31385i −0.170952 + 0.311819i
\(411\) −4.56352 + 7.56775i −0.225102 + 0.373290i
\(412\) 15.4842 15.0482i 0.762853 0.741371i
\(413\) −22.6032 17.4296i −1.11223 0.857656i
\(414\) −1.14620 40.1222i −0.0563326 1.97190i
\(415\) 13.5268 13.4810i 0.664003 0.661758i
\(416\) 8.48621 1.97338i 0.416071 0.0967531i
\(417\) −3.03186 4.71767i −0.148471 0.231025i
\(418\) −21.1803 9.93797i −1.03596 0.486082i
\(419\) −18.1773 11.6819i −0.888020 0.570696i 0.0151948 0.999885i \(-0.495163\pi\)
−0.903215 + 0.429189i \(0.858800\pi\)
\(420\) −0.258734 6.28448i −0.0126249 0.306651i
\(421\) 12.7610 + 21.1618i 0.621934 + 1.03136i 0.994639 + 0.103412i \(0.0329760\pi\)
−0.372704 + 0.927950i \(0.621569\pi\)
\(422\) −14.9102 3.91919i −0.725815 0.190783i
\(423\) −0.841117 14.7095i −0.0408965 0.715198i
\(424\) −7.08462 + 0.405113i −0.344060 + 0.0196740i
\(425\) −20.6565 + 11.5732i −1.00199 + 0.561383i
\(426\) −6.41684 10.6411i −0.310897 0.515565i
\(427\) −3.09033 + 8.66124i −0.149551 + 0.419147i
\(428\) −7.00368 + 10.8979i −0.338535 + 0.526771i
\(429\) −0.425613 + 2.75797i −0.0205488 + 0.133156i
\(430\) −4.44540 3.14505i −0.214376 0.151668i
\(431\) −0.532370 + 0.123797i −0.0256433 + 0.00596310i −0.239299 0.970946i \(-0.576918\pi\)
0.213655 + 0.976909i \(0.431463\pi\)
\(432\) −6.99489 16.5519i −0.336542 0.796353i
\(433\) −25.6237 + 0.732010i −1.23140 + 0.0351781i −0.638194 0.769876i \(-0.720318\pi\)
−0.593202 + 0.805054i \(0.702136\pi\)
\(434\) −22.6790 + 29.4107i −1.08863 + 1.41176i
\(435\) 10.2711 + 4.53530i 0.492462 + 0.217451i
\(436\) 13.8085 22.8988i 0.661306 1.09665i
\(437\) −19.7169 24.1128i −0.943188 1.15347i
\(438\) −7.96290 + 6.14031i −0.380482 + 0.293395i
\(439\) 4.78433 33.2757i 0.228344 1.58816i −0.476743 0.879043i \(-0.658183\pi\)
0.705086 0.709122i \(-0.250908\pi\)
\(440\) −1.64771 4.58506i −0.0785513 0.218584i
\(441\) −0.491237 3.41663i −0.0233922 0.162697i
\(442\) 7.62194 + 7.40731i 0.362539 + 0.352330i
\(443\) 17.8191 4.68382i 0.846611 0.222535i 0.194730 0.980857i \(-0.437617\pi\)
0.651880 + 0.758322i \(0.273980\pi\)
\(444\) 0.369294 + 1.13657i 0.0175259 + 0.0539392i
\(445\) 14.6108 9.65179i 0.692619 0.457539i
\(446\) −4.06928 + 47.3777i −0.192686 + 2.24340i
\(447\) 5.82840 + 6.35046i 0.275674 + 0.300366i
\(448\) 8.09851 8.82391i 0.382619 0.416891i
\(449\) −3.23078 37.6153i −0.152470 1.77518i −0.528853 0.848713i \(-0.677378\pi\)
0.376383 0.926464i \(-0.377168\pi\)
\(450\) −20.6575 11.7582i −0.973803 0.554288i
\(451\) 0.535324 5.55955i 0.0252074 0.261789i
\(452\) 3.38110 11.5150i 0.159034 0.541619i
\(453\) 13.7863 + 2.79347i 0.647738 + 0.131249i
\(454\) 7.44634 0.854388i 0.349474 0.0400984i
\(455\) 3.44440 5.17591i 0.161476 0.242650i
\(456\) −1.51279 0.854312i −0.0708429 0.0400068i
\(457\) 16.2070 + 22.3070i 0.758129 + 1.04348i 0.997367 + 0.0725144i \(0.0231023\pi\)
−0.239238 + 0.970961i \(0.576898\pi\)
\(458\) 0.324483 + 0.659964i 0.0151621 + 0.0308381i
\(459\) 10.5121 15.3734i 0.490662 0.717570i
\(460\) −3.17352 + 31.1117i −0.147966 + 1.45059i
\(461\) −0.615354 0.710156i −0.0286599 0.0330753i 0.741239 0.671242i \(-0.234239\pi\)
−0.769899 + 0.638166i \(0.779693\pi\)
\(462\) 4.65188 + 9.71319i 0.216425 + 0.451899i
\(463\) 11.0032 + 9.53432i 0.511362 + 0.443097i 0.871926 0.489637i \(-0.162871\pi\)
−0.360565 + 0.932734i \(0.617416\pi\)
\(464\) 11.6114 + 29.8235i 0.539044 + 1.38452i
\(465\) −4.57202 12.3217i −0.212023 0.571407i
\(466\) 1.94986 + 1.59439i 0.0903254 + 0.0738587i
\(467\) 5.19985 + 14.5736i 0.240620 + 0.674386i 0.999726 + 0.0234183i \(0.00745494\pi\)
−0.759105 + 0.650968i \(0.774363\pi\)
\(468\) −1.09478 + 4.70791i −0.0506061 + 0.217623i
\(469\) 5.87032 1.01590i 0.271066 0.0469099i
\(470\) −1.85049 + 25.2719i −0.0853565 + 1.16571i
\(471\) 0.503949 0.284593i 0.0232208 0.0131134i
\(472\) 7.20043 + 3.28833i 0.331427 + 0.151357i
\(473\) 4.13092 + 0.881481i 0.189940 + 0.0405305i
\(474\) −4.62931 10.1368i −0.212631 0.465598i
\(475\) −18.2663 + 2.56320i −0.838114 + 0.117608i
\(476\) 18.3096 + 3.16859i 0.839217 + 0.145232i
\(477\) 10.4534 24.7358i 0.478630 1.13257i
\(478\) −26.2202 10.2084i −1.19928 0.466923i
\(479\) −9.00514 17.0666i −0.411455 0.779794i 0.588125 0.808770i \(-0.299866\pi\)
−0.999580 + 0.0289757i \(0.990775\pi\)
\(480\) 3.16948 + 11.4688i 0.144666 + 0.523478i
\(481\) −0.365033 + 1.12346i −0.0166441 + 0.0512252i
\(482\) 1.92556 33.6742i 0.0877069 1.53382i
\(483\) 14.3380i 0.652404i
\(484\) −12.4265 13.3258i −0.564843 0.605720i
\(485\) −19.4040 + 7.83735i −0.881092 + 0.355876i
\(486\) 28.8725 + 1.65099i 1.30968 + 0.0748904i
\(487\) 2.62463 + 0.852793i 0.118933 + 0.0386437i 0.367879 0.929874i \(-0.380084\pi\)
−0.248946 + 0.968517i \(0.580084\pi\)
\(488\) 0.290716 2.53371i 0.0131601 0.114695i
\(489\) −1.15228 2.18382i −0.0521081 0.0987558i
\(490\) 0.0747225 + 5.93609i 0.00337562 + 0.268165i
\(491\) −0.0864669 0.0365412i −0.00390220 0.00164908i 0.387318 0.921946i \(-0.373402\pi\)
−0.391220 + 0.920297i \(0.627947\pi\)
\(492\) −0.340987 + 1.97037i −0.0153729 + 0.0888313i
\(493\) −19.4968 + 26.8351i −0.878092 + 1.20859i
\(494\) 3.43950 + 7.53145i 0.154750 + 0.338856i
\(495\) 18.3220 + 2.06006i 0.823514 + 0.0925929i
\(496\) 15.5623 34.0767i 0.698768 1.53009i
\(497\) −10.5595 18.6985i −0.473660 0.838743i
\(498\) 5.16547 10.5060i 0.231470 0.470787i
\(499\) −43.4549 + 7.52017i −1.94531 + 0.336649i −0.945366 + 0.326011i \(0.894295\pi\)
−0.999943 + 0.0106379i \(0.996614\pi\)
\(500\) 14.7691 + 11.1735i 0.660493 + 0.499693i
\(501\) −4.79917 + 1.71234i −0.214411 + 0.0765018i
\(502\) −12.8921 + 15.7664i −0.575403 + 0.703688i
\(503\) 28.6557 + 0.818626i 1.27769 + 0.0365007i 0.660809 0.750554i \(-0.270213\pi\)
0.616883 + 0.787055i \(0.288395\pi\)
\(504\) −1.40371 3.60540i −0.0625262 0.160597i
\(505\) −21.6198 7.40851i −0.962069 0.329675i
\(506\) −16.0209 51.0944i −0.712217 2.27143i
\(507\) −6.29661 + 5.45605i −0.279642 + 0.242312i
\(508\) −29.4627 15.5459i −1.30719 0.689736i
\(509\) −18.7190 + 27.3757i −0.829706 + 1.21341i 0.144893 + 0.989447i \(0.453716\pi\)
−0.974599 + 0.223958i \(0.928102\pi\)
\(510\) −9.67931 + 10.8165i −0.428607 + 0.478963i
\(511\) −14.0584 + 10.2140i −0.621907 + 0.451842i
\(512\) −13.7258 + 24.3052i −0.606599 + 1.07415i
\(513\) 11.9761 8.18906i 0.528759 0.361556i
\(514\) −51.1652 + 5.87066i −2.25680 + 0.258944i
\(515\) 5.33140 + 28.6557i 0.234930 + 1.26272i
\(516\) −1.45101 0.426055i −0.0638772 0.0187560i
\(517\) −6.41390 18.5794i −0.282083 0.817123i
\(518\) 1.28437 + 4.37415i 0.0564318 + 0.192189i
\(519\) 0.0152509 + 0.177563i 0.000669440 + 0.00779415i
\(520\) −0.605286 + 1.61448i −0.0265436 + 0.0707998i
\(521\) 1.44814 1.32909i 0.0634442 0.0582285i −0.643826 0.765172i \(-0.722654\pi\)
0.707270 + 0.706944i \(0.249927\pi\)
\(522\) −33.1764 2.84953i −1.45209 0.124720i
\(523\) −13.7577 + 2.78767i −0.601582 + 0.121896i −0.489798 0.871836i \(-0.662929\pi\)
−0.111785 + 0.993732i \(0.535657\pi\)
\(524\) 0.389074 + 1.19745i 0.0169968 + 0.0523106i
\(525\) 7.25619 + 4.40921i 0.316686 + 0.192434i
\(526\) 32.0905 33.0203i 1.39921 1.43975i
\(527\) 38.4315 5.52562i 1.67410 0.240700i
\(528\) −6.78950 8.48020i −0.295475 0.369053i
\(529\) 6.87229 47.7978i 0.298795 2.07817i
\(530\) −23.3502 + 39.8476i −1.01427 + 1.73087i
\(531\) −23.1897 + 18.9621i −1.00635 + 0.822887i
\(532\) 12.3960 + 7.47507i 0.537436 + 0.324086i
\(533\) −1.41747 + 1.37756i −0.0613976 + 0.0596687i
\(534\) 6.55510 8.50080i 0.283667 0.367866i
\(535\) −7.00957 16.0212i −0.303050 0.692657i
\(536\) −1.52189 + 0.643156i −0.0657356 + 0.0277801i
\(537\) 2.50671 + 10.7797i 0.108173 + 0.465178i
\(538\) 8.08116 + 12.5745i 0.348404 + 0.542127i
\(539\) −1.86963 4.20824i −0.0805306 0.181262i
\(540\) −14.3118 2.71287i −0.615881 0.116743i
\(541\) −15.5782 5.55829i −0.669759 0.238970i −0.0207894 0.999784i \(-0.506618\pi\)
−0.648970 + 0.760814i \(0.724800\pi\)
\(542\) −37.8786 + 22.8417i −1.62703 + 0.981133i
\(543\) −1.82779 0.480443i −0.0784381 0.0206178i
\(544\) −35.0946 + 2.00678i −1.50467 + 0.0860400i
\(545\) 15.4074 + 32.6437i 0.659979 + 1.39830i
\(546\) 0.968909 3.68611i 0.0414655 0.157751i
\(547\) 16.6778 10.0571i 0.713091 0.430010i −0.112964 0.993599i \(-0.536034\pi\)
0.826055 + 0.563589i \(0.190580\pi\)
\(548\) −6.86212 + 19.2324i −0.293135 + 0.821569i
\(549\) 8.11906 + 5.21780i 0.346513 + 0.222690i
\(550\) −30.7846 7.60462i −1.31266 0.324262i
\(551\) −21.7379 + 13.9701i −0.926066 + 0.595146i
\(552\) −0.900632 3.87302i −0.0383334 0.164847i
\(553\) −7.49660 17.7391i −0.318788 0.754342i
\(554\) −0.126551 4.42987i −0.00537664 0.188207i
\(555\) −1.55350 0.434985i −0.0659422 0.0184641i
\(556\) −9.03095 9.29263i −0.382998 0.394095i
\(557\) −6.20078 3.73921i −0.262736 0.158435i 0.378917 0.925431i \(-0.376296\pi\)
−0.641653 + 0.766995i \(0.721751\pi\)
\(558\) 24.6731 + 30.1739i 1.04449 + 1.27736i
\(559\) −0.912809 1.18375i −0.0386077 0.0500673i
\(560\) 5.77804 + 23.5025i 0.244167 + 0.993163i
\(561\) 3.58947 10.6715i 0.151548 0.450551i
\(562\) 8.00682 1.15121i 0.337747 0.0485607i
\(563\) 22.0630 + 21.4417i 0.929843 + 0.903659i 0.995555 0.0941797i \(-0.0300228\pi\)
−0.0657121 + 0.997839i \(0.520932\pi\)
\(564\) 1.78896 + 6.80592i 0.0753289 + 0.286581i
\(565\) 10.4122 + 12.4115i 0.438046 + 0.522156i
\(566\) 7.97151 + 39.3409i 0.335067 + 1.65362i
\(567\) 10.9491 + 0.940418i 0.459818 + 0.0394938i
\(568\) 4.02689 + 4.38759i 0.168965 + 0.184099i
\(569\) 29.6818 + 27.2418i 1.24433 + 1.14203i 0.984313 + 0.176429i \(0.0564546\pi\)
0.260014 + 0.965605i \(0.416273\pi\)
\(570\) −10.0837 + 5.11640i −0.422358 + 0.214302i
\(571\) −13.2871 + 3.90145i −0.556049 + 0.163271i −0.547670 0.836694i \(-0.684485\pi\)
−0.00837836 + 0.999965i \(0.502667\pi\)
\(572\) 0.301708 + 6.44116i 0.0126150 + 0.269318i
\(573\) 4.26225 14.5159i 0.178058 0.606410i
\(574\) −1.51488 + 7.47621i −0.0632297 + 0.312051i
\(575\) −32.5909 26.8341i −1.35913 1.11906i
\(576\) −7.09487 10.3759i −0.295619 0.432330i
\(577\) −0.417752 + 0.739743i −0.0173912 + 0.0307959i −0.879306 0.476258i \(-0.841993\pi\)
0.861914 + 0.507054i \(0.169266\pi\)
\(578\) −6.09771 8.39277i −0.253631 0.349093i
\(579\) −2.87782 + 1.41493i −0.119598 + 0.0588025i
\(580\) 25.3417 + 5.55769i 1.05226 + 0.230770i
\(581\) 9.44148 17.8936i 0.391698 0.742351i
\(582\) −9.69538 + 8.40109i −0.401886 + 0.348237i
\(583\) 4.45057 35.5473i 0.184324 1.47222i
\(584\) 3.15589 3.64209i 0.130592 0.150711i
\(585\) −4.47214 4.75126i −0.184900 0.196440i
\(586\) 1.13440 39.7093i 0.0468618 1.64038i
\(587\) −19.3151 + 23.6214i −0.797219 + 0.974958i −0.999991 0.00426823i \(-0.998641\pi\)
0.202772 + 0.979226i \(0.435005\pi\)
\(588\) 0.554030 + 1.55278i 0.0228478 + 0.0640355i
\(589\) 29.4605 + 6.85075i 1.21390 + 0.282280i
\(590\) 43.7800 27.1576i 1.80240 1.11806i
\(591\) 4.07092 + 2.00153i 0.167455 + 0.0823321i
\(592\) −2.26120 4.00407i −0.0929349 0.164566i
\(593\) 11.9206 + 5.44396i 0.489521 + 0.223557i 0.644855 0.764305i \(-0.276918\pi\)
−0.155333 + 0.987862i \(0.549645\pi\)
\(594\) 24.3504 5.39835i 0.999110 0.221497i
\(595\) −17.2542 + 18.2071i −0.707351 + 0.746419i
\(596\) 16.1134 + 11.7071i 0.660030 + 0.479540i
\(597\) −1.62538 + 9.39219i −0.0665225 + 0.384397i
\(598\) −7.37669 + 17.4553i −0.301655 + 0.713802i
\(599\) −1.48985 + 3.82664i −0.0608736 + 0.156352i −0.959016 0.283353i \(-0.908553\pi\)
0.898142 + 0.439705i \(0.144917\pi\)
\(600\) −2.23701 0.735233i −0.0913257 0.0300157i
\(601\) 26.6505 + 3.05786i 1.08710 + 0.124733i 0.638966 0.769235i \(-0.279363\pi\)
0.448131 + 0.893968i \(0.352090\pi\)
\(602\) −5.48653 1.78268i −0.223614 0.0726566i
\(603\) 0.356943 6.24221i 0.0145358 0.254203i
\(604\) 32.5031 1.32253
\(605\) 24.2694 3.99930i 0.986693 0.162595i
\(606\) −14.0101 −0.569120
\(607\) 0.785477 13.7364i 0.0318815 0.557544i −0.942718 0.333590i \(-0.891740\pi\)
0.974600 0.223954i \(-0.0718965\pi\)
\(608\) −26.0436 8.46208i −1.05621 0.343183i
\(609\) 11.8172 + 1.35590i 0.478856 + 0.0549437i
\(610\) −12.6802 10.7110i −0.513408 0.433677i
\(611\) −2.52366 + 6.48197i −0.102096 + 0.262232i
\(612\) 7.59127 17.9631i 0.306859 0.726115i
\(613\) −7.64345 + 44.1673i −0.308716 + 1.78390i 0.264388 + 0.964416i \(0.414830\pi\)
−0.573104 + 0.819483i \(0.694261\pi\)
\(614\) 47.9147 + 34.8121i 1.93368 + 1.40490i
\(615\) −1.95935 1.85680i −0.0790087 0.0748733i
\(616\) −3.10954 4.11970i −0.125287 0.165987i
\(617\) 0.609243 + 0.278232i 0.0245272 + 0.0112012i 0.427641 0.903949i \(-0.359345\pi\)
−0.403114 + 0.915150i \(0.632072\pi\)
\(618\) 8.78637 + 15.5586i 0.353439 + 0.625860i
\(619\) 14.8404 + 7.29652i 0.596485 + 0.293272i 0.714384 0.699754i \(-0.246707\pi\)
−0.117899 + 0.993026i \(0.537616\pi\)
\(620\) −16.0082 25.8065i −0.642906 1.03641i
\(621\) 32.3427 + 7.52097i 1.29787 + 0.301806i
\(622\) −4.14106 11.6061i −0.166042 0.465364i
\(623\) 11.7430 14.3611i 0.470474 0.575365i
\(624\) −0.109782 + 3.84288i −0.00439481 + 0.153838i
\(625\) −23.6025 + 8.24161i −0.944098 + 0.329664i
\(626\) 17.9712 20.7398i 0.718272 0.828930i
\(627\) 5.62184 6.73232i 0.224515 0.268863i
\(628\) 1.01068 0.875757i 0.0403304 0.0349465i
\(629\) 2.22411 4.21516i 0.0886811 0.168069i
\(630\) −24.5967 5.39430i −0.979954 0.214914i
\(631\) 16.9784 8.34771i 0.675899 0.332317i −0.0707894 0.997491i \(-0.522552\pi\)
0.746688 + 0.665174i \(0.231643\pi\)
\(632\) 3.13926 + 4.32082i 0.124873 + 0.171873i
\(633\) 2.84201 5.03254i 0.112960 0.200026i
\(634\) 29.2078 + 42.7150i 1.15999 + 1.69643i
\(635\) 39.5052 21.4847i 1.56772 0.852595i
\(636\) −2.54716 + 12.5707i −0.101001 + 0.498461i
\(637\) −0.459121 + 1.56362i −0.0181910 + 0.0619529i
\(638\) −43.6263 + 8.37237i −1.72718 + 0.331465i
\(639\) −21.6240 + 6.34937i −0.855431 + 0.251177i
\(640\) −5.23912 10.3255i −0.207094 0.408152i
\(641\) 16.1885 + 14.8576i 0.639406 + 0.586842i 0.928897 0.370339i \(-0.120759\pi\)
−0.289490 + 0.957181i \(0.593486\pi\)
\(642\) −7.24880 7.89808i −0.286087 0.311713i
\(643\) −3.48066 0.298954i −0.137264 0.0117896i 0.0167398 0.999860i \(-0.494671\pi\)
−0.154004 + 0.988070i \(0.549217\pi\)
\(644\) 6.57942 + 32.4707i 0.259265 + 1.27953i
\(645\) 1.56398 1.31206i 0.0615818 0.0516621i
\(646\) −8.49217 32.3076i −0.334120 1.27112i
\(647\) −9.48299 9.21595i −0.372815 0.362316i 0.486574 0.873639i \(-0.338246\pi\)
−0.859389 + 0.511323i \(0.829156\pi\)
\(648\) −3.01666 + 0.433730i −0.118505 + 0.0170385i
\(649\) −22.8955 + 32.7534i −0.898727 + 1.28568i
\(650\) 6.56532 + 9.10103i 0.257513 + 0.356972i
\(651\) −8.50218 11.0258i −0.333227 0.432136i
\(652\) −3.61164 4.41684i −0.141443 0.172977i
\(653\) −7.96083 4.80056i −0.311531 0.187860i 0.352017 0.935994i \(-0.385496\pi\)
−0.663549 + 0.748133i \(0.730950\pi\)
\(654\) 15.4221 + 15.8690i 0.603054 + 0.620528i
\(655\) −1.63670 0.458283i −0.0639512 0.0179066i
\(656\) −0.219723 7.69130i −0.00857873 0.300295i
\(657\) 7.09916 + 16.7986i 0.276965 + 0.655377i
\(658\) 6.08021 + 26.1469i 0.237031 + 1.01931i
\(659\) −18.9817 + 12.1988i −0.739421 + 0.475197i −0.855344 0.518061i \(-0.826654\pi\)
0.115922 + 0.993258i \(0.463018\pi\)
\(660\) −8.77221 + 0.773542i −0.341458 + 0.0301101i
\(661\) −21.6100 13.8879i −0.840531 0.540176i 0.0480774 0.998844i \(-0.484691\pi\)
−0.888608 + 0.458667i \(0.848327\pi\)
\(662\) −14.5343 + 40.7354i −0.564893 + 1.58322i
\(663\) −3.41212 + 2.05758i −0.132516 + 0.0799098i
\(664\) −1.42638 + 5.42650i −0.0553542 + 0.210589i
\(665\) −17.6713 + 8.34062i −0.685265 + 0.323435i
\(666\) 4.77662 0.273137i 0.185090 0.0105838i
\(667\) −57.1980 15.0347i −2.21472 0.582147i
\(668\) −10.0827 + 6.08010i −0.390112 + 0.235246i
\(669\) −16.7902 5.99073i −0.649147 0.231615i
\(670\) −2.00268 + 10.5652i −0.0773701 + 0.408167i
\(671\) 12.3156 + 3.75458i 0.475439 + 0.144944i
\(672\) 6.81502 + 10.6044i 0.262895 + 0.409073i
\(673\) −6.87452 29.5627i −0.264993 1.13956i −0.922465 0.386081i \(-0.873829\pi\)
0.657472 0.753479i \(-0.271626\pi\)
\(674\) −54.1916 + 22.9016i −2.08738 + 0.882136i
\(675\) 13.7522 14.0551i 0.529321 0.540982i
\(676\) −11.7560 + 15.2454i −0.452154 + 0.586363i
\(677\) 11.4701 11.1471i 0.440832 0.428419i −0.442785 0.896628i \(-0.646010\pi\)
0.883618 + 0.468209i \(0.155101\pi\)
\(678\) 8.50475 + 5.12855i 0.326623 + 0.196961i
\(679\) −17.1627 + 14.0339i −0.658644 + 0.538571i
\(680\) 3.51706 6.00194i 0.134873 0.230164i
\(681\) −0.399889 + 2.78129i −0.0153238 + 0.106579i
\(682\) 42.6180 + 29.7911i 1.63193 + 1.14076i
\(683\) −2.01370 + 0.289527i −0.0770522 + 0.0110784i −0.180733 0.983532i \(-0.557847\pi\)
0.103681 + 0.994611i \(0.466938\pi\)
\(684\) 10.5877 10.8945i 0.404832 0.416562i
\(685\) −16.4820 22.0952i −0.629745 0.844216i
\(686\) 11.7418 + 36.1375i 0.448303 + 1.37974i
\(687\) −0.270212 + 0.0547520i −0.0103092 + 0.00208892i
\(688\) 5.79767 + 0.497962i 0.221034 + 0.0189846i
\(689\) −9.34054 + 8.57267i −0.355846 + 0.326593i
\(690\) −24.2327 9.08511i −0.922525 0.345864i
\(691\) −3.42360 39.8603i −0.130240 1.51636i −0.711527 0.702658i \(-0.751996\pi\)
0.581287 0.813698i \(-0.302549\pi\)
\(692\) 0.116018 + 0.395120i 0.00441034 + 0.0150202i
\(693\) 19.1825 3.68134i 0.728683 0.139843i
\(694\) −17.1931 5.04834i −0.652640 0.191632i
\(695\) 17.1973 3.19956i 0.652332 0.121366i
\(696\) −3.27725 + 0.376029i −0.124224 + 0.0142533i
\(697\) 6.58291 4.50128i 0.249345 0.170498i
\(698\) −6.45948 + 11.4383i −0.244495 + 0.432944i
\(699\) −0.763917 + 0.555018i −0.0288940 + 0.0209927i
\(700\) 18.4560 + 6.65563i 0.697573 + 0.251559i
\(701\) 25.7399 37.6433i 0.972181 1.42177i 0.0665115 0.997786i \(-0.478813\pi\)
0.905670 0.423984i \(-0.139369\pi\)
\(702\) −7.80661 4.11913i −0.294642 0.155466i
\(703\) 2.80590 2.43133i 0.105827 0.0916993i
\(704\) −12.8712 10.7481i −0.485102 0.405085i
\(705\) −8.98661 3.07946i −0.338455 0.115979i
\(706\) 12.6226 + 32.4208i 0.475056 + 1.22017i
\(707\) −24.2015 0.691380i −0.910189 0.0260020i
\(708\) 9.05684 11.0760i 0.340377 0.416263i
\(709\) 26.9118 9.60212i 1.01069 0.360615i 0.221766 0.975100i \(-0.428818\pi\)
0.788929 + 0.614485i \(0.210636\pi\)
\(710\) 38.2933 5.99863i 1.43712 0.225125i
\(711\) −19.9151 + 3.44645i −0.746875 + 0.129252i
\(712\) −2.26996 + 4.61687i −0.0850704 + 0.173024i
\(713\) 34.0411 + 60.2790i 1.27485 + 2.25746i
\(714\) −6.38789 + 13.9875i −0.239061 + 0.523470i
\(715\) −7.46441 4.47809i −0.279153 0.167471i
\(716\) 10.6234 + 23.2620i 0.397015 + 0.869342i
\(717\) 6.20023 8.53389i 0.231552 0.318704i
\(718\) −8.49044 + 49.0616i −0.316860 + 1.83096i
\(719\) 23.3527 + 9.86894i 0.870910 + 0.368049i 0.778480 0.627670i \(-0.215991\pi\)
0.0924299 + 0.995719i \(0.470537\pi\)
\(720\) 25.3981 0.319707i 0.946531 0.0119148i
\(721\) 14.4101 + 27.3101i 0.536659 + 1.01708i
\(722\) −1.17507 + 10.2412i −0.0437316 + 0.381139i
\(723\) 12.0259 + 3.90746i 0.447250 + 0.145320i
\(724\) −4.35979 0.249302i −0.162030 0.00926522i
\(725\) −25.1982 + 24.3233i −0.935838 + 0.903344i
\(726\) 13.2796 7.14219i 0.492854 0.265072i
\(727\) 11.5424i 0.428085i 0.976824 + 0.214042i \(0.0686631\pi\)
−0.976824 + 0.214042i \(0.931337\pi\)
\(728\) −0.104280 + 1.82365i −0.00386487 + 0.0675889i
\(729\) 0.950373 2.92495i 0.0351990 0.108331i
\(730\) −8.35482 30.2321i −0.309226 1.11894i
\(731\) 2.81446 + 5.33400i 0.104097 + 0.197285i
\(732\) −4.29557 1.67242i −0.158769 0.0618143i
\(733\) 19.1541 45.3240i 0.707472 1.67408i −0.0307546 0.999527i \(-0.509791\pi\)
0.738227 0.674553i \(-0.235664\pi\)
\(734\) 5.45522 + 0.944063i 0.201356 + 0.0348460i
\(735\) −2.15940 0.538643i −0.0796507 0.0198681i
\(736\) −26.0360 57.0110i −0.959701 2.10145i
\(737\) −1.80534 8.14339i −0.0665007 0.299966i
\(738\) 7.28219 + 3.32566i 0.268061 + 0.122419i
\(739\) −14.1321 + 7.98077i −0.519858 + 0.293577i −0.729242 0.684256i \(-0.760127\pi\)
0.209384 + 0.977834i \(0.432854\pi\)
\(740\) −3.71774 0.272224i −0.136667 0.0100072i
\(741\) −3.05852 + 0.529297i −0.112357 + 0.0194442i
\(742\) −11.0821 + 47.6567i −0.406836 + 1.74953i
\(743\) −9.89707 27.7385i −0.363088 1.01763i −0.974122 0.226022i \(-0.927428\pi\)
0.611034 0.791604i \(-0.290754\pi\)
\(744\) 2.98920 + 2.44426i 0.109589 + 0.0896109i
\(745\) −25.2075 + 9.35333i −0.923531 + 0.342680i
\(746\) −16.6046 42.6485i −0.607936 1.56147i
\(747\) −16.0468 13.9046i −0.587121 0.508744i
\(748\) 3.23199 25.8144i 0.118173 0.943868i
\(749\) −12.1321 14.0011i −0.443296 0.511590i
\(750\) −12.0498 + 9.46986i −0.439996 + 0.345790i
\(751\) −11.6612 + 17.0540i −0.425525 + 0.622310i −0.977345 0.211653i \(-0.932115\pi\)
0.551820 + 0.833963i \(0.313933\pi\)
\(752\) −11.9473 24.2997i −0.435675 0.886118i
\(753\) −4.48783 6.17697i −0.163546 0.225101i
\(754\) 13.6888 + 7.73043i 0.498518 + 0.281526i
\(755\) −24.3081 + 36.5280i −0.884664 + 1.32939i
\(756\) −15.3312 + 1.75909i −0.557591 + 0.0639776i
\(757\) −18.8255 3.81454i −0.684225 0.138642i −0.156013 0.987755i \(-0.549864\pi\)
−0.528211 + 0.849113i \(0.677137\pi\)
\(758\) −12.2353 + 41.6695i −0.444405 + 1.51351i
\(759\) 20.0525 0.939270i 0.727858 0.0340933i
\(760\) 4.24950 3.36299i 0.154146 0.121989i
\(761\) −3.00025 34.9313i −0.108759 1.26626i −0.823681 0.567053i \(-0.808083\pi\)
0.714922 0.699204i \(-0.246462\pi\)
\(762\) 18.6404 20.3101i 0.675271 0.735757i
\(763\) 25.8576 + 28.1737i 0.936109 + 1.01996i
\(764\) 2.99150 34.8294i 0.108229 1.26008i
\(765\) 14.5102 + 21.9654i 0.524616 + 0.794160i
\(766\) 9.21066 + 28.3475i 0.332795 + 1.02424i
\(767\) 13.6778 3.59527i 0.493877 0.129818i
\(768\) −10.2886 9.99886i −0.371257 0.360803i
\(769\) −1.62869 11.3278i −0.0587321 0.408491i −0.997886 0.0649934i \(-0.979297\pi\)
0.939154 0.343498i \(-0.111612\pi\)
\(770\) −33.5341 + 1.99405i −1.20848 + 0.0718607i
\(771\) 2.74771 19.1108i 0.0989564 0.688257i
\(772\) −5.86799 + 4.52490i −0.211194 + 0.162855i
\(773\) 18.8790 + 23.0880i 0.679029 + 0.830418i 0.992888 0.119052i \(-0.0379854\pi\)
−0.313859 + 0.949470i \(0.601622\pi\)
\(774\) −3.12646 + 5.18465i −0.112378 + 0.186358i
\(775\) 40.9742 + 1.30939i 1.47184 + 0.0470346i
\(776\) 3.75450 4.86892i 0.134779 0.174784i
\(777\) −1.70837 + 0.0488041i −0.0612873 + 0.00175084i
\(778\) −6.60864 15.6379i −0.236931 0.560646i
\(779\) 6.05098 1.40710i 0.216799 0.0504144i
\(780\) 2.54414 + 1.79994i 0.0910948 + 0.0644481i
\(781\) −25.4591 + 15.9930i −0.910997 + 0.572273i
\(782\) 41.3351 64.3186i 1.47814 2.30003i
\(783\) 9.25719 25.9451i 0.330825 0.927202i
\(784\) −3.27593 5.43252i −0.116998 0.194019i
\(785\) 0.228345 + 1.79078i 0.00814999 + 0.0639158i
\(786\) −1.04023 + 0.0594826i −0.0371038 + 0.00212167i
\(787\) −1.33637 23.3704i −0.0476365 0.833066i −0.931145 0.364650i \(-0.881189\pi\)
0.883508 0.468416i \(-0.155175\pi\)
\(788\) 10.1377 + 2.66473i 0.361140 + 0.0949270i
\(789\) 8.91400 + 14.7822i 0.317347 + 0.526261i
\(790\) 34.7309 1.42988i 1.23567 0.0508730i
\(791\) 14.4383 + 9.27893i 0.513367 + 0.329921i
\(792\) −4.95037 + 2.19934i −0.175904 + 0.0781503i
\(793\) −2.46341 3.83314i −0.0874782 0.136119i
\(794\) −55.9053 + 13.0002i −1.98401 + 0.461361i
\(795\) −12.2224 12.2639i −0.433484 0.434954i
\(796\) 0.628944 + 22.0159i 0.0222923 + 0.780334i
\(797\) 13.0980 + 10.1001i 0.463955 + 0.357762i 0.815837 0.578282i \(-0.196277\pi\)
−0.351883 + 0.936044i \(0.614458\pi\)
\(798\) −8.59053 + 8.34862i −0.304102 + 0.295538i
\(799\) 14.4923 24.0328i 0.512701 0.850219i
\(800\) −36.8586 4.35561i −1.30315 0.153994i
\(801\) −11.8887 15.4176i −0.420068 0.544753i
\(802\) 50.8064 + 7.30485i 1.79404 + 0.257943i
\(803\) 15.2058 + 18.9923i 0.536600 + 0.670222i
\(804\) 0.424998 + 2.95593i 0.0149885 + 0.104247i
\(805\) −41.4121 16.8898i −1.45959 0.595286i
\(806\) −4.67807 17.7972i −0.164778 0.626881i
\(807\) −5.32939 + 1.73162i −0.187603 + 0.0609561i
\(808\) 6.58077 1.33344i 0.231511 0.0469101i
\(809\) −2.14827 + 25.0119i −0.0755292 + 0.879371i 0.856301 + 0.516477i \(0.172757\pi\)
−0.931830 + 0.362894i \(0.881789\pi\)
\(810\) −8.52714 + 17.9092i −0.299613 + 0.629264i
\(811\) −30.9588 28.4137i −1.08711 0.997741i −0.999999 0.00154196i \(-0.999509\pi\)
−0.0871112 0.996199i \(-0.527764\pi\)
\(812\) 27.3840 2.35202i 0.960991 0.0825396i
\(813\) −4.67183 15.9108i −0.163848 0.558016i
\(814\) 6.03333 2.08280i 0.211468 0.0730020i
\(815\) 7.66482 0.755632i 0.268487 0.0264686i
\(816\) 3.08029 15.2018i 0.107832 0.532171i
\(817\) 0.535557 + 4.66760i 0.0187368 + 0.163299i
\(818\) 27.5543 18.8412i 0.963415 0.658766i
\(819\) −6.01899 3.39908i −0.210321 0.118773i
\(820\) −5.28930 3.30590i −0.184710 0.115447i
\(821\) −43.1586 + 21.2197i −1.50625 + 0.740571i −0.993049 0.117700i \(-0.962448\pi\)
−0.513197 + 0.858271i \(0.671539\pi\)
\(822\) −13.9491 9.53817i −0.486532 0.332682i
\(823\) 28.5091 + 15.0427i 0.993764 + 0.524356i 0.882941 0.469485i \(-0.155560\pi\)
0.110824 + 0.993840i \(0.464651\pi\)
\(824\) −5.60793 6.47190i −0.195362 0.225459i
\(825\) 5.69115 10.4370i 0.198141 0.363369i
\(826\) 35.7417 41.2481i 1.24361 1.43521i
\(827\) −13.3627 + 5.20258i −0.464668 + 0.180912i −0.583684 0.811981i \(-0.698389\pi\)
0.119017 + 0.992892i \(0.462026\pi\)
\(828\) 34.7560 + 0.992899i 1.20785 + 0.0345056i
\(829\) −11.6497 9.52594i −0.404612 0.330849i 0.408709 0.912665i \(-0.365979\pi\)
−0.813321 + 0.581815i \(0.802343\pi\)
\(830\) 24.2595 + 27.2951i 0.842060 + 0.947426i
\(831\) 1.61822 + 0.376302i 0.0561355 + 0.0130538i
\(832\) 1.01194 + 5.84743i 0.0350826 + 0.202723i
\(833\) 2.90098 5.90031i 0.100513 0.204433i
\(834\) 9.33729 5.27301i 0.323324 0.182589i
\(835\) 0.707575 15.8784i 0.0244867 0.549494i
\(836\) 9.64221 17.8261i 0.333483 0.616530i
\(837\) −29.3310 + 13.3950i −1.01383 + 0.463000i
\(838\) 24.2857 33.4264i 0.838935 1.15470i
\(839\) −0.376015 0.0650719i −0.0129815 0.00224653i 0.164028 0.986456i \(-0.447551\pi\)
−0.177009 + 0.984209i \(0.556642\pi\)
\(840\) −2.49428 0.0398439i −0.0860608 0.00137475i
\(841\) −7.27896 + 18.6959i −0.250999 + 0.644685i
\(842\) −41.7922 + 22.0515i −1.44025 + 0.759944i
\(843\) −0.345686 + 3.01279i −0.0119061 + 0.103766i
\(844\) 4.12684 12.7011i 0.142052 0.437190i
\(845\) −8.34131 24.6134i −0.286950 0.846726i
\(846\) 28.1731 0.968610
\(847\) 23.2922 11.6823i 0.800328 0.401410i
\(848\) 49.3535i 1.69481i
\(849\) −15.0238 0.859091i −0.515615 0.0294839i
\(850\) −19.8390 40.6980i −0.680473 1.39593i
\(851\) 8.44214 + 0.968645i 0.289393 + 0.0332047i
\(852\) 9.52023 5.02331i 0.326158 0.172096i
\(853\) 20.5874 + 8.01542i 0.704900 + 0.274443i 0.688307 0.725420i \(-0.258354\pi\)
0.0165933 + 0.999862i \(0.494718\pi\)
\(854\) −16.1975 6.84512i −0.554267 0.234235i
\(855\) 4.32532 + 20.0465i 0.147923 + 0.685576i
\(856\) 4.15660 + 3.01995i 0.142070 + 0.103220i
\(857\) 2.90450 1.32644i 0.0992160 0.0453104i −0.365189 0.930933i \(-0.618996\pi\)
0.464405 + 0.885623i \(0.346268\pi\)
\(858\) −5.21868 1.11359i −0.178163 0.0380175i
\(859\) −6.95227 + 15.2233i −0.237208 + 0.519414i −0.990374 0.138417i \(-0.955799\pi\)
0.753166 + 0.657831i \(0.228526\pi\)
\(860\) 2.93981 3.68903i 0.100247 0.125795i
\(861\) −2.56632 1.26177i −0.0874598 0.0430011i
\(862\) −0.178221 1.02984i −0.00607023 0.0350765i
\(863\) 6.66526 28.6629i 0.226888 0.975695i −0.729589 0.683886i \(-0.760288\pi\)
0.956477 0.291809i \(-0.0942570\pi\)
\(864\) 27.4953 9.81032i 0.935410 0.333754i
\(865\) −0.530815 0.165115i −0.0180482 0.00561408i
\(866\) 1.39973 48.9971i 0.0475649 1.66499i
\(867\) 3.62415 1.41101i 0.123083 0.0479205i
\(868\) −24.3140 21.0682i −0.825272 0.715102i
\(869\) −24.3179 + 11.6464i −0.824928 + 0.395078i
\(870\) −9.77940 + 19.1131i −0.331553 + 0.647995i
\(871\) −1.37754 + 2.61073i −0.0466761 + 0.0884611i
\(872\) −8.75441 5.98612i −0.296462 0.202715i
\(873\) 10.2660 + 20.8799i 0.347450 + 0.706678i
\(874\) 48.1852 35.0086i 1.62989 1.18418i
\(875\) −21.2825 + 15.7639i −0.719481 + 0.532917i
\(876\) −4.91660 7.19030i −0.166117 0.242938i
\(877\) 0.0341319 + 0.297473i 0.00115255 + 0.0100450i 0.994045 0.108967i \(-0.0347544\pi\)
−0.992893 + 0.119012i \(0.962027\pi\)
\(878\) 63.0032 + 12.7661i 2.12625 + 0.430835i
\(879\) 14.2895 + 4.19578i 0.481973 + 0.141520i
\(880\) 32.4909 9.62049i 1.09527 0.324307i
\(881\) 39.3394 11.5511i 1.32538 0.389166i 0.458947 0.888463i \(-0.348227\pi\)
0.866431 + 0.499297i \(0.166408\pi\)
\(882\) 6.57618 0.564829i 0.221432 0.0190188i
\(883\) −4.05262 + 4.41562i −0.136382 + 0.148598i −0.801176 0.598429i \(-0.795792\pi\)
0.664794 + 0.747026i \(0.268519\pi\)
\(884\) −6.78308 + 6.22546i −0.228140 + 0.209385i
\(885\) 5.67424 + 18.4618i 0.190738 + 0.620587i
\(886\) 6.99650 + 34.5291i 0.235052 + 1.16003i
\(887\) −20.1687 + 6.55322i −0.677200 + 0.220036i −0.627369 0.778722i \(-0.715868\pi\)
−0.0498308 + 0.998758i \(0.515868\pi\)
\(888\) 0.458401 0.120493i 0.0153829 0.00404347i
\(889\) 33.2024 34.1644i 1.11357 1.14584i
\(890\) 16.8309 + 28.9466i 0.564173 + 0.970291i
\(891\) 0.597958 15.3744i 0.0200323 0.515063i
\(892\) −40.7730 5.86227i −1.36518 0.196283i
\(893\) 17.3129 13.3503i 0.579356 0.446750i
\(894\) −12.7597 + 10.4335i −0.426747 + 0.348949i
\(895\) −34.0875 5.45809i −1.13942 0.182444i
\(896\) −8.54887 8.79658i −0.285598 0.293873i
\(897\) −5.62585 4.33818i −0.187842 0.144848i
\(898\) 72.1627 2.06152i 2.40810 0.0687939i
\(899\) 52.9001 22.3558i 1.76432 0.745606i
\(900\) 11.1906 17.2840i 0.373020 0.576132i
\(901\) 43.0312 27.6545i 1.43358 0.921304i
\(902\) 10.5551 + 1.62887i 0.351446 + 0.0542354i
\(903\) 1.16925 1.81938i 0.0389101 0.0605453i
\(904\) −4.48295 1.59951i −0.149101 0.0531990i
\(905\) 3.54073 4.71321i 0.117698 0.156672i
\(906\) −6.83788 + 26.0140i −0.227173 + 0.864257i
\(907\) −0.323669 5.66032i −0.0107472 0.187948i −0.999310 0.0371386i \(-0.988176\pi\)
0.988563 0.150809i \(-0.0481879\pi\)
\(908\) 0.370663 + 6.48216i 0.0123009 + 0.215118i
\(909\) −6.45956 + 24.5747i −0.214250 + 0.815092i
\(910\) 9.50513 + 7.14059i 0.315092 + 0.236708i
\(911\) 5.70328 + 2.03493i 0.188958 + 0.0674201i 0.428833 0.903384i \(-0.358925\pi\)
−0.239875 + 0.970804i \(0.577107\pi\)
\(912\) 6.53263 10.1650i 0.216317 0.336596i
\(913\) −25.6436 12.0322i −0.848678 0.398207i
\(914\) −44.3546 + 28.5050i −1.46712 + 0.942860i
\(915\) 5.09204 3.57673i 0.168338 0.118243i
\(916\) −0.586811 + 0.247989i −0.0193888 + 0.00819377i
\(917\) −1.79987 + 0.0514181i −0.0594368 + 0.00169797i
\(918\) 28.2013 + 21.7464i 0.930781 + 0.717739i
\(919\) −21.2745 21.8910i −0.701782 0.722116i 0.268718 0.963219i \(-0.413400\pi\)
−0.970500 + 0.241103i \(0.922491\pi\)
\(920\) 12.2472 + 1.96103i 0.403779 + 0.0646532i
\(921\) −17.1885 + 14.0550i −0.566380 + 0.463127i
\(922\) 1.42291 1.09723i 0.0468610 0.0361352i
\(923\) 10.5317 + 1.51423i 0.346656 + 0.0498416i
\(924\) −8.63042 + 3.54279i −0.283920 + 0.116549i
\(925\) 3.08632 3.97452i 0.101478 0.130681i
\(926\) −19.4028 + 19.9650i −0.637614 + 0.656089i
\(927\) 31.3421 8.23841i 1.02941 0.270585i
\(928\) −49.4496 + 16.0672i −1.62326 + 0.527430i
\(929\) 4.39991 + 21.7144i 0.144356 + 0.712427i 0.985236 + 0.171204i \(0.0547658\pi\)
−0.840879 + 0.541223i \(0.817961\pi\)
\(930\) 24.0221 7.38319i 0.787714 0.242104i
\(931\) 3.77355 3.46333i 0.123673 0.113506i
\(932\) −1.47532 + 1.60747i −0.0483258 + 0.0526544i
\(933\) 4.60277 0.395332i 0.150688 0.0129426i
\(934\) −28.3896 + 8.33593i −0.928935 + 0.272760i
\(935\) 26.5939 + 22.9381i 0.869712 + 0.750155i
\(936\) 1.83937 + 0.540088i 0.0601217 + 0.0176533i
\(937\) −48.1096 9.74827i −1.57167 0.318462i −0.667162 0.744913i \(-0.732491\pi\)
−0.904511 + 0.426451i \(0.859764\pi\)
\(938\) 1.29859 + 11.3177i 0.0424004 + 0.369536i
\(939\) 5.80703 + 8.49250i 0.189505 + 0.277142i
\(940\) −21.7647 2.85016i −0.709885 0.0929619i
\(941\) 6.58391 4.78349i 0.214629 0.155937i −0.475276 0.879837i \(-0.657652\pi\)
0.689906 + 0.723899i \(0.257652\pi\)
\(942\) 0.488293 + 0.993138i 0.0159095 + 0.0323582i
\(943\) 11.7371 + 8.02564i 0.382213 + 0.261351i
\(944\) −25.6917 + 48.6911i −0.836193 + 1.58476i
\(945\) 9.48886 18.5453i 0.308672 0.603277i
\(946\) −2.13375 + 7.78996i −0.0693742 + 0.253273i
\(947\) 4.34489 + 3.76487i 0.141190 + 0.122342i 0.722592 0.691274i \(-0.242950\pi\)
−0.581402 + 0.813616i \(0.697496\pi\)
\(948\) 8.99565 3.50233i 0.292165 0.113750i
\(949\) 0.245869 8.60652i 0.00798123 0.279379i
\(950\) −2.89929 35.1513i −0.0940655 1.14046i
\(951\) −18.2711 + 6.51910i −0.592480 + 0.211396i
\(952\) 1.66921 7.17816i 0.0540994 0.232646i
\(953\) −4.25410 24.5821i −0.137804 0.796293i −0.970235 0.242165i \(-0.922143\pi\)
0.832431 0.554128i \(-0.186948\pi\)
\(954\) 46.0810 + 22.6565i 1.49193 + 0.733532i
\(955\) 36.9050 + 29.4098i 1.19422 + 0.951679i
\(956\) 10.1254 22.1715i 0.327478 0.717076i
\(957\) 1.12216 16.6157i 0.0362742 0.537111i
\(958\) 33.5643 15.3283i 1.08441 0.495235i
\(959\) −23.6255 17.1649i −0.762907 0.554285i
\(960\) −7.92215 + 1.70932i −0.255686 + 0.0551680i
\(961\) −33.3667 14.1009i −1.07635 0.454867i
\(962\) −2.10490 0.819512i −0.0678646 0.0264221i
\(963\) −17.1960 + 9.07341i −0.554134 + 0.292387i
\(964\) 29.0276 + 3.33061i 0.934918 + 0.107272i
\(965\) −0.696712 9.97866i −0.0224279 0.321225i
\(966\) −27.3722 1.56520i −0.880687 0.0503595i
\(967\) 45.0599i 1.44903i 0.689260 + 0.724514i \(0.257936\pi\)
−0.689260 + 0.724514i \(0.742064\pi\)
\(968\) −5.55790 + 4.61873i −0.178638 + 0.148452i
\(969\) 12.5233 0.402306
\(970\) −12.8438 37.8991i −0.412388 1.21687i
\(971\) −8.19421 + 25.2192i −0.262965 + 0.809323i 0.729190 + 0.684311i \(0.239897\pi\)
−0.992155 + 0.125012i \(0.960103\pi\)
\(972\) −2.85569 + 24.8885i −0.0915962 + 0.798298i
\(973\) 16.3898 8.64799i 0.525432 0.277242i
\(974\) −1.91455 + 4.91748i −0.0613461 + 0.157566i
\(975\) −3.92551 + 1.51306i −0.125717 + 0.0484566i
\(976\) 17.4776 + 3.02461i 0.559443 + 0.0968154i
\(977\) 23.1418 31.8520i 0.740373 1.01904i −0.258224 0.966085i \(-0.583137\pi\)
0.998597 0.0529514i \(-0.0168628\pi\)
\(978\) 4.29484 1.96139i 0.137334 0.0627183i
\(979\) −20.8540 15.4824i −0.666496 0.494819i
\(980\) −5.13747 0.228937i −0.164110 0.00731312i
\(981\) 34.9461 19.7350i 1.11574 0.630089i
\(982\) 0.0791985 0.161082i 0.00252733 0.00514032i
\(983\) 4.36440 + 25.2195i 0.139203 + 0.804376i 0.969138 + 0.246517i \(0.0792861\pi\)
−0.829936 + 0.557859i \(0.811623\pi\)
\(984\) 0.772475 + 0.179631i 0.0246256 + 0.00572644i
\(985\) −10.5764 + 9.40015i −0.336992 + 0.299514i
\(986\) −49.1014 40.1501i −1.56371 1.27864i
\(987\) −10.0597 0.287383i −0.320204 0.00914750i
\(988\) −6.68360 + 2.60216i −0.212634 + 0.0827858i
\(989\) −7.04175 + 8.12662i −0.223915 + 0.258411i
\(990\) −5.93289 + 34.7530i −0.188560 + 1.10452i
\(991\) 35.0250 + 40.4210i 1.11261 + 1.28402i 0.955030 + 0.296510i \(0.0958229\pi\)
0.157577 + 0.987507i \(0.449632\pi\)
\(992\) 53.8279 + 28.4020i 1.70904 + 0.901766i
\(993\) −13.3845 9.15206i −0.424743 0.290432i
\(994\) 36.8494 18.1176i 1.16879 0.574656i
\(995\) −25.2125 15.7583i −0.799291 0.499570i
\(996\) 8.83061 + 4.98688i 0.279809 + 0.158015i
\(997\) −37.0422 + 25.3288i −1.17314 + 0.802172i −0.983717 0.179724i \(-0.942480\pi\)
−0.189422 + 0.981896i \(0.560661\pi\)
\(998\) −9.61275 83.7791i −0.304286 2.65198i
\(999\) −0.786029 + 3.87920i −0.0248688 + 0.122733i
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 605.2.u.a.4.14 2560
5.4 even 2 inner 605.2.u.a.4.51 yes 2560
121.91 even 55 inner 605.2.u.a.454.51 yes 2560
605.454 even 110 inner 605.2.u.a.454.14 yes 2560
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.u.a.4.14 2560 1.1 even 1 trivial
605.2.u.a.4.51 yes 2560 5.4 even 2 inner
605.2.u.a.454.14 yes 2560 605.454 even 110 inner
605.2.u.a.454.51 yes 2560 121.91 even 55 inner