Properties

Label 176.2.w.a.5.19
Level $176$
Weight $2$
Character 176.5
Analytic conductor $1.405$
Analytic rank $0$
Dimension $176$
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] = [176,2,Mod(5,176)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(176, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("176.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 176 = 2^{4} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 176.w (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.40536707557\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.19
Character \(\chi\) \(=\) 176.5
Dual form 176.2.w.a.141.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.11969 - 0.863883i) q^{2} +(2.35196 - 0.372513i) q^{3} +(0.507411 - 1.93456i) q^{4} +(-3.24121 + 1.65148i) q^{5} +(2.31165 - 2.44892i) q^{6} +(0.349519 + 0.481071i) q^{7} +(-1.10309 - 2.60445i) q^{8} +(2.53977 - 0.825220i) q^{9} +O(q^{10})\) \(q+(1.11969 - 0.863883i) q^{2} +(2.35196 - 0.372513i) q^{3} +(0.507411 - 1.93456i) q^{4} +(-3.24121 + 1.65148i) q^{5} +(2.31165 - 2.44892i) q^{6} +(0.349519 + 0.481071i) q^{7} +(-1.10309 - 2.60445i) q^{8} +(2.53977 - 0.825220i) q^{9} +(-2.20247 + 4.64917i) q^{10} +(3.30890 - 0.226206i) q^{11} +(0.472759 - 4.73903i) q^{12} +(-2.12728 - 1.08390i) q^{13} +(0.806942 + 0.236707i) q^{14} +(-7.00799 + 5.09161i) q^{15} +(-3.48507 - 1.96324i) q^{16} +(-2.22937 + 6.86129i) q^{17} +(2.13086 - 3.11805i) q^{18} +(-2.11663 + 0.335241i) q^{19} +(1.55026 + 7.10831i) q^{20} +(1.00126 + 1.00126i) q^{21} +(3.50953 - 3.11179i) q^{22} +3.95993i q^{23} +(-3.56462 - 5.71465i) q^{24} +(4.83914 - 6.66051i) q^{25} +(-3.31825 + 0.624085i) q^{26} +(-0.699175 + 0.356248i) q^{27} +(1.10801 - 0.432065i) q^{28} +(0.973603 - 6.14709i) q^{29} +(-3.44823 + 11.7551i) q^{30} +(-1.31537 - 4.04828i) q^{31} +(-5.59820 + 0.812473i) q^{32} +(7.69813 - 1.76464i) q^{33} +(3.43115 + 9.60843i) q^{34} +(-1.92734 - 0.982030i) q^{35} +(-0.307734 - 5.33207i) q^{36} +(9.12750 + 1.44565i) q^{37} +(-2.08036 + 2.20389i) q^{38} +(-5.40703 - 1.75685i) q^{39} +(7.87656 + 6.61985i) q^{40} +(1.59092 - 2.18972i) q^{41} +(1.98607 + 0.256129i) q^{42} +(-5.16147 - 5.16147i) q^{43} +(1.24136 - 6.51606i) q^{44} +(-6.86909 + 6.86909i) q^{45} +(3.42092 + 4.43389i) q^{46} +(5.20901 + 3.78457i) q^{47} +(-8.92806 - 3.31922i) q^{48} +(2.05385 - 6.32111i) q^{49} +(-0.335562 - 11.6382i) q^{50} +(-2.68745 + 16.9679i) q^{51} +(-3.17628 + 3.56536i) q^{52} +(-0.813606 + 1.59679i) q^{53} +(-0.475103 + 1.00289i) q^{54} +(-10.3513 + 6.19777i) q^{55} +(0.867376 - 1.44097i) q^{56} +(-4.85334 + 1.57694i) q^{57} +(-4.22023 - 7.72391i) q^{58} +(-2.74323 - 0.434486i) q^{59} +(6.29410 + 16.1409i) q^{60} +(-3.81789 - 7.49303i) q^{61} +(-4.97005 - 3.39650i) q^{62} +(1.28469 + 0.933379i) q^{63} +(-5.56637 + 5.74591i) q^{64} +8.68499 q^{65} +(7.09508 - 8.62613i) q^{66} +(3.13386 - 3.13386i) q^{67} +(12.1424 + 7.79434i) q^{68} +(1.47513 + 9.31358i) q^{69} +(-3.00639 + 0.565430i) q^{70} +(8.91024 + 2.89511i) q^{71} +(-4.95085 - 5.70441i) q^{72} +(-2.29760 - 3.16238i) q^{73} +(11.4689 - 6.26641i) q^{74} +(8.90033 - 17.4679i) q^{75} +(-0.425456 + 4.26485i) q^{76} +(1.26534 + 1.51275i) q^{77} +(-7.57191 + 2.70391i) q^{78} +(1.92220 + 5.91593i) q^{79} +(14.5381 + 0.607752i) q^{80} +(-7.99309 + 5.80732i) q^{81} +(-0.110320 - 3.82618i) q^{82} +(-5.49721 - 10.7889i) q^{83} +(2.44505 - 1.42895i) q^{84} +(-4.10543 - 25.9206i) q^{85} +(-10.2381 - 1.32034i) q^{86} -14.8204i q^{87} +(-4.23917 - 8.36836i) q^{88} +9.72651i q^{89} +(-1.75716 + 13.6253i) q^{90} +(-0.222089 - 1.40221i) q^{91} +(7.66073 + 2.00931i) q^{92} +(-4.60173 - 9.03139i) q^{93} +(9.10190 - 0.262435i) q^{94} +(6.30680 - 4.58216i) q^{95} +(-12.8641 + 3.99631i) q^{96} +(3.24707 + 9.99346i) q^{97} +(-3.16102 - 8.85197i) q^{98} +(8.21717 - 3.30509i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24} - 68 q^{26} - 18 q^{27} - 46 q^{28} - 22 q^{29} + 26 q^{30} - 12 q^{31} - 16 q^{32} - 16 q^{33} + 12 q^{34} - 26 q^{35} - 22 q^{36} + 18 q^{37} - 34 q^{38} + 14 q^{40} - 10 q^{42} - 40 q^{43} + 2 q^{44} - 24 q^{45} + 38 q^{46} - 12 q^{47} - 26 q^{48} + 8 q^{49} - 62 q^{50} + 6 q^{51} + 74 q^{52} - 30 q^{53} - 52 q^{54} - 96 q^{56} - 26 q^{58} + 10 q^{59} + 118 q^{60} - 6 q^{61} - 42 q^{62} - 28 q^{63} - 106 q^{64} - 32 q^{65} + 6 q^{66} + 24 q^{67} + 116 q^{68} + 12 q^{69} + 52 q^{70} - 98 q^{72} + 96 q^{74} - 46 q^{75} + 112 q^{76} - 14 q^{77} + 44 q^{78} - 52 q^{79} - 28 q^{80} + 66 q^{82} + 54 q^{83} + 120 q^{84} + 14 q^{85} + 86 q^{86} + 142 q^{88} + 228 q^{90} - 122 q^{91} + 146 q^{92} + 6 q^{93} + 56 q^{94} + 52 q^{95} + 86 q^{96} - 12 q^{97} + 140 q^{98} + 92 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/176\mathbb{Z}\right)^\times\).

\(n\) \(111\) \(133\) \(145\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11969 0.863883i 0.791740 0.610858i
\(3\) 2.35196 0.372513i 1.35790 0.215071i 0.565339 0.824859i \(-0.308745\pi\)
0.792564 + 0.609788i \(0.208745\pi\)
\(4\) 0.507411 1.93456i 0.253706 0.967281i
\(5\) −3.24121 + 1.65148i −1.44951 + 0.738564i −0.988837 0.149003i \(-0.952394\pi\)
−0.460677 + 0.887568i \(0.652394\pi\)
\(6\) 2.31165 2.44892i 0.943729 0.999766i
\(7\) 0.349519 + 0.481071i 0.132106 + 0.181828i 0.869945 0.493148i \(-0.164154\pi\)
−0.737840 + 0.674976i \(0.764154\pi\)
\(8\) −1.10309 2.60445i −0.390002 0.920814i
\(9\) 2.53977 0.825220i 0.846589 0.275073i
\(10\) −2.20247 + 4.64917i −0.696481 + 1.47020i
\(11\) 3.30890 0.226206i 0.997671 0.0682038i
\(12\) 0.472759 4.73903i 0.136474 1.36804i
\(13\) −2.12728 1.08390i −0.590000 0.300620i 0.133386 0.991064i \(-0.457415\pi\)
−0.723386 + 0.690444i \(0.757415\pi\)
\(14\) 0.806942 + 0.236707i 0.215664 + 0.0632627i
\(15\) −7.00799 + 5.09161i −1.80946 + 1.31465i
\(16\) −3.48507 1.96324i −0.871267 0.490810i
\(17\) −2.22937 + 6.86129i −0.540701 + 1.66411i 0.190297 + 0.981727i \(0.439055\pi\)
−0.730998 + 0.682380i \(0.760945\pi\)
\(18\) 2.13086 3.11805i 0.502248 0.734932i
\(19\) −2.11663 + 0.335241i −0.485588 + 0.0769095i −0.394428 0.918927i \(-0.629057\pi\)
−0.0911595 + 0.995836i \(0.529057\pi\)
\(20\) 1.55026 + 7.10831i 0.346650 + 1.58947i
\(21\) 1.00126 + 1.00126i 0.218492 + 0.218492i
\(22\) 3.50953 3.11179i 0.748234 0.663435i
\(23\) 3.95993i 0.825702i 0.910799 + 0.412851i \(0.135467\pi\)
−0.910799 + 0.412851i \(0.864533\pi\)
\(24\) −3.56462 5.71465i −0.727626 1.16650i
\(25\) 4.83914 6.66051i 0.967829 1.33210i
\(26\) −3.31825 + 0.624085i −0.650763 + 0.122393i
\(27\) −0.699175 + 0.356248i −0.134556 + 0.0685599i
\(28\) 1.10801 0.432065i 0.209395 0.0816526i
\(29\) 0.973603 6.14709i 0.180793 1.14149i −0.715693 0.698415i \(-0.753889\pi\)
0.896487 0.443070i \(-0.146111\pi\)
\(30\) −3.44823 + 11.7551i −0.629557 + 2.14618i
\(31\) −1.31537 4.04828i −0.236247 0.727093i −0.996954 0.0779972i \(-0.975147\pi\)
0.760707 0.649096i \(-0.224853\pi\)
\(32\) −5.59820 + 0.812473i −0.989632 + 0.143626i
\(33\) 7.69813 1.76464i 1.34007 0.307184i
\(34\) 3.43115 + 9.60843i 0.588437 + 1.64783i
\(35\) −1.92734 0.982030i −0.325780 0.165993i
\(36\) −0.307734 5.33207i −0.0512890 0.888678i
\(37\) 9.12750 + 1.44565i 1.50055 + 0.237664i 0.852015 0.523518i \(-0.175381\pi\)
0.648538 + 0.761182i \(0.275381\pi\)
\(38\) −2.08036 + 2.20389i −0.337479 + 0.357517i
\(39\) −5.40703 1.75685i −0.865817 0.281321i
\(40\) 7.87656 + 6.61985i 1.24539 + 1.04669i
\(41\) 1.59092 2.18972i 0.248461 0.341977i −0.666511 0.745495i \(-0.732213\pi\)
0.914971 + 0.403519i \(0.132213\pi\)
\(42\) 1.98607 + 0.256129i 0.306457 + 0.0395215i
\(43\) −5.16147 5.16147i −0.787116 0.787116i 0.193904 0.981021i \(-0.437885\pi\)
−0.981021 + 0.193904i \(0.937885\pi\)
\(44\) 1.24136 6.51606i 0.187143 0.982333i
\(45\) −6.86909 + 6.86909i −1.02398 + 1.02398i
\(46\) 3.42092 + 4.43389i 0.504387 + 0.653742i
\(47\) 5.20901 + 3.78457i 0.759812 + 0.552036i 0.898853 0.438251i \(-0.144402\pi\)
−0.139041 + 0.990287i \(0.544402\pi\)
\(48\) −8.92806 3.31922i −1.28865 0.479088i
\(49\) 2.05385 6.32111i 0.293408 0.903016i
\(50\) −0.335562 11.6382i −0.0474557 1.64588i
\(51\) −2.68745 + 16.9679i −0.376319 + 2.37598i
\(52\) −3.17628 + 3.56536i −0.440470 + 0.494427i
\(53\) −0.813606 + 1.59679i −0.111757 + 0.219336i −0.940110 0.340870i \(-0.889278\pi\)
0.828353 + 0.560207i \(0.189278\pi\)
\(54\) −0.475103 + 1.00289i −0.0646534 + 0.136476i
\(55\) −10.3513 + 6.19777i −1.39577 + 0.835707i
\(56\) 0.867376 1.44097i 0.115908 0.192558i
\(57\) −4.85334 + 1.57694i −0.642840 + 0.208871i
\(58\) −4.22023 7.72391i −0.554144 1.01420i
\(59\) −2.74323 0.434486i −0.357139 0.0565652i −0.0247128 0.999695i \(-0.507867\pi\)
−0.332426 + 0.943129i \(0.607867\pi\)
\(60\) 6.29410 + 16.1409i 0.812564 + 2.08379i
\(61\) −3.81789 7.49303i −0.488831 0.959385i −0.995274 0.0971110i \(-0.969040\pi\)
0.506443 0.862274i \(-0.330960\pi\)
\(62\) −4.97005 3.39650i −0.631196 0.431356i
\(63\) 1.28469 + 0.933379i 0.161855 + 0.117595i
\(64\) −5.56637 + 5.74591i −0.695796 + 0.718239i
\(65\) 8.68499 1.07724
\(66\) 7.09508 8.62613i 0.873344 1.06180i
\(67\) 3.13386 3.13386i 0.382862 0.382862i −0.489270 0.872132i \(-0.662737\pi\)
0.872132 + 0.489270i \(0.162737\pi\)
\(68\) 12.1424 + 7.79434i 1.47248 + 0.945203i
\(69\) 1.47513 + 9.31358i 0.177584 + 1.12122i
\(70\) −3.00639 + 0.565430i −0.359332 + 0.0675818i
\(71\) 8.91024 + 2.89511i 1.05745 + 0.343587i 0.785588 0.618750i \(-0.212360\pi\)
0.271862 + 0.962336i \(0.412360\pi\)
\(72\) −4.95085 5.70441i −0.583463 0.672272i
\(73\) −2.29760 3.16238i −0.268914 0.370129i 0.653109 0.757264i \(-0.273465\pi\)
−0.922023 + 0.387136i \(0.873465\pi\)
\(74\) 11.4689 6.26641i 1.33323 0.728456i
\(75\) 8.90033 17.4679i 1.02772 2.01702i
\(76\) −0.425456 + 4.26485i −0.0488032 + 0.489212i
\(77\) 1.26534 + 1.51275i 0.144199 + 0.172394i
\(78\) −7.57191 + 2.70391i −0.857350 + 0.306158i
\(79\) 1.92220 + 5.91593i 0.216265 + 0.665594i 0.999061 + 0.0433167i \(0.0137924\pi\)
−0.782797 + 0.622277i \(0.786208\pi\)
\(80\) 14.5381 + 0.607752i 1.62541 + 0.0679488i
\(81\) −7.99309 + 5.80732i −0.888121 + 0.645258i
\(82\) −0.110320 3.82618i −0.0121828 0.422531i
\(83\) −5.49721 10.7889i −0.603398 1.18423i −0.967499 0.252875i \(-0.918624\pi\)
0.364101 0.931359i \(-0.381376\pi\)
\(84\) 2.44505 1.42895i 0.266776 0.155911i
\(85\) −4.10543 25.9206i −0.445296 2.81149i
\(86\) −10.2381 1.32034i −1.10401 0.142376i
\(87\) 14.8204i 1.58891i
\(88\) −4.23917 8.36836i −0.451897 0.892070i
\(89\) 9.72651i 1.03101i 0.856887 + 0.515504i \(0.172395\pi\)
−0.856887 + 0.515504i \(0.827605\pi\)
\(90\) −1.75716 + 13.6253i −0.185221 + 1.43624i
\(91\) −0.222089 1.40221i −0.0232812 0.146992i
\(92\) 7.66073 + 2.00931i 0.798687 + 0.209485i
\(93\) −4.60173 9.03139i −0.477177 0.936512i
\(94\) 9.10190 0.262435i 0.938789 0.0270681i
\(95\) 6.30680 4.58216i 0.647064 0.470119i
\(96\) −12.8641 + 3.99631i −1.31293 + 0.407872i
\(97\) 3.24707 + 9.99346i 0.329690 + 1.01468i 0.969279 + 0.245964i \(0.0791047\pi\)
−0.639589 + 0.768717i \(0.720895\pi\)
\(98\) −3.16102 8.85197i −0.319311 0.894184i
\(99\) 8.21717 3.30509i 0.825857 0.332174i
\(100\) −10.4297 12.7412i −1.04297 1.27412i
\(101\) 1.17115 2.29850i 0.116533 0.228710i −0.825371 0.564591i \(-0.809034\pi\)
0.941904 + 0.335881i \(0.109034\pi\)
\(102\) 11.6492 + 21.3205i 1.15344 + 2.11104i
\(103\) 2.41237 + 3.32034i 0.237698 + 0.327163i 0.911155 0.412063i \(-0.135192\pi\)
−0.673458 + 0.739226i \(0.735192\pi\)
\(104\) −0.476388 + 6.73604i −0.0467137 + 0.660523i
\(105\) −4.89885 1.59173i −0.478079 0.155337i
\(106\) 0.468455 + 2.49077i 0.0455004 + 0.241925i
\(107\) 0.241584 + 1.52530i 0.0233548 + 0.147456i 0.996610 0.0822699i \(-0.0262169\pi\)
−0.973255 + 0.229726i \(0.926217\pi\)
\(108\) 0.334414 + 1.53336i 0.0321790 + 0.147548i
\(109\) 2.19386 2.19386i 0.210133 0.210133i −0.594191 0.804324i \(-0.702528\pi\)
0.804324 + 0.594191i \(0.202528\pi\)
\(110\) −6.23607 + 15.8819i −0.594586 + 1.51428i
\(111\) 22.0060 2.08872
\(112\) −0.273639 2.36275i −0.0258564 0.223259i
\(113\) −8.96195 6.51124i −0.843069 0.612526i 0.0801572 0.996782i \(-0.474458\pi\)
−0.923226 + 0.384257i \(0.874458\pi\)
\(114\) −4.07194 + 5.95841i −0.381372 + 0.558056i
\(115\) −6.53974 12.8350i −0.609834 1.19687i
\(116\) −11.3979 5.00260i −1.05827 0.464479i
\(117\) −6.29724 0.997385i −0.582180 0.0922083i
\(118\) −3.44692 + 1.88334i −0.317314 + 0.173376i
\(119\) −4.07997 + 1.32566i −0.374010 + 0.121523i
\(120\) 20.9913 + 12.6355i 1.91624 + 1.15346i
\(121\) 10.8977 1.49699i 0.990696 0.136090i
\(122\) −10.7480 5.09166i −0.973075 0.460977i
\(123\) 2.92609 5.74277i 0.263836 0.517808i
\(124\) −8.49909 + 0.490515i −0.763241 + 0.0440496i
\(125\) −1.83969 + 11.6153i −0.164547 + 1.03891i
\(126\) 2.24478 0.0647236i 0.199981 0.00576604i
\(127\) −1.04155 + 3.20555i −0.0924222 + 0.284446i −0.986573 0.163319i \(-0.947780\pi\)
0.894151 + 0.447765i \(0.147780\pi\)
\(128\) −1.26881 + 11.2423i −0.112148 + 0.993692i
\(129\) −14.0623 10.2168i −1.23811 0.899542i
\(130\) 9.72450 7.50282i 0.852895 0.658041i
\(131\) −13.8206 + 13.8206i −1.20751 + 1.20751i −0.235683 + 0.971830i \(0.575733\pi\)
−0.971830 + 0.235683i \(0.924267\pi\)
\(132\) 0.492315 15.7879i 0.0428505 1.37416i
\(133\) −0.901075 0.901075i −0.0781332 0.0781332i
\(134\) 0.801663 6.21624i 0.0692531 0.537002i
\(135\) 1.67784 2.30935i 0.144405 0.198757i
\(136\) 20.3291 1.76235i 1.74321 0.151120i
\(137\) 18.5375 + 6.02320i 1.58377 + 0.514597i 0.963023 0.269417i \(-0.0868311\pi\)
0.620743 + 0.784014i \(0.286831\pi\)
\(138\) 9.69754 + 9.15399i 0.825509 + 0.779239i
\(139\) 4.61504 + 0.730951i 0.391443 + 0.0619985i 0.349054 0.937103i \(-0.386503\pi\)
0.0423892 + 0.999101i \(0.486503\pi\)
\(140\) −2.87776 + 3.23027i −0.243215 + 0.273008i
\(141\) 13.6612 + 6.96071i 1.15048 + 0.586198i
\(142\) 12.4777 4.45578i 1.04711 0.373921i
\(143\) −7.28413 3.10532i −0.609130 0.259680i
\(144\) −10.4714 2.11022i −0.872614 0.175852i
\(145\) 6.99614 + 21.5319i 0.580998 + 1.78813i
\(146\) −5.30453 1.55602i −0.439006 0.128777i
\(147\) 2.47588 15.6321i 0.204207 1.28931i
\(148\) 7.42811 16.9242i 0.610587 1.39116i
\(149\) −6.17907 + 3.14839i −0.506209 + 0.257926i −0.688393 0.725338i \(-0.741683\pi\)
0.182184 + 0.983264i \(0.441683\pi\)
\(150\) −5.12460 27.2475i −0.418422 2.22475i
\(151\) −13.2745 + 18.2707i −1.08026 + 1.48685i −0.221028 + 0.975267i \(0.570941\pi\)
−0.859233 + 0.511584i \(0.829059\pi\)
\(152\) 3.20796 + 5.14286i 0.260200 + 0.417141i
\(153\) 19.2658i 1.55755i
\(154\) 2.72364 + 0.600705i 0.219477 + 0.0484062i
\(155\) 10.9490 + 10.9490i 0.879448 + 0.879448i
\(156\) −6.14232 + 9.56879i −0.491780 + 0.766116i
\(157\) −6.16471 + 0.976394i −0.491997 + 0.0779247i −0.397503 0.917601i \(-0.630123\pi\)
−0.0944940 + 0.995525i \(0.530123\pi\)
\(158\) 7.26294 + 4.96345i 0.577809 + 0.394871i
\(159\) −1.31874 + 4.05867i −0.104583 + 0.321873i
\(160\) 16.8032 11.8787i 1.32841 0.939095i
\(161\) −1.90501 + 1.38407i −0.150136 + 0.109080i
\(162\) −3.93294 + 13.4075i −0.309001 + 1.05339i
\(163\) 11.7707 + 5.99749i 0.921955 + 0.469759i 0.849486 0.527611i \(-0.176912\pi\)
0.0724688 + 0.997371i \(0.476912\pi\)
\(164\) −3.42890 4.18883i −0.267752 0.327093i
\(165\) −22.0370 + 18.4329i −1.71558 + 1.43500i
\(166\) −15.4755 7.33126i −1.20113 0.569016i
\(167\) 11.8842 3.86141i 0.919627 0.298805i 0.189313 0.981917i \(-0.439374\pi\)
0.730314 + 0.683112i \(0.239374\pi\)
\(168\) 1.50325 3.71221i 0.115978 0.286403i
\(169\) −4.29075 5.90571i −0.330058 0.454285i
\(170\) −26.9892 25.4765i −2.06998 1.95396i
\(171\) −5.09909 + 2.59812i −0.389938 + 0.198683i
\(172\) −12.6042 + 7.36620i −0.961059 + 0.561667i
\(173\) −14.1824 + 2.24628i −1.07827 + 0.170781i −0.670208 0.742173i \(-0.733795\pi\)
−0.408062 + 0.912954i \(0.633795\pi\)
\(174\) −12.8031 16.5942i −0.970598 1.25800i
\(175\) 4.89555 0.370069
\(176\) −11.9758 5.70782i −0.902713 0.430243i
\(177\) −6.61382 −0.497125
\(178\) 8.40257 + 10.8907i 0.629799 + 0.816290i
\(179\) 3.71813 0.588894i 0.277906 0.0440160i −0.0159256 0.999873i \(-0.505069\pi\)
0.293832 + 0.955857i \(0.405069\pi\)
\(180\) 9.80323 + 16.7741i 0.730690 + 1.25027i
\(181\) 6.15281 3.13501i 0.457335 0.233024i −0.210118 0.977676i \(-0.567385\pi\)
0.667452 + 0.744652i \(0.267385\pi\)
\(182\) −1.46002 1.37819i −0.108224 0.102158i
\(183\) −11.7708 16.2011i −0.870121 1.19762i
\(184\) 10.3135 4.36817i 0.760318 0.322026i
\(185\) −31.9716 + 10.3882i −2.35060 + 0.763757i
\(186\) −12.9546 6.13701i −0.949876 0.449987i
\(187\) −5.82469 + 23.2076i −0.425943 + 1.69711i
\(188\) 9.96459 8.15683i 0.726743 0.594898i
\(189\) −0.415755 0.211838i −0.0302417 0.0154089i
\(190\) 3.10321 10.5789i 0.225130 0.767476i
\(191\) −20.6446 + 14.9992i −1.49379 + 1.08530i −0.521020 + 0.853544i \(0.674448\pi\)
−0.972773 + 0.231760i \(0.925552\pi\)
\(192\) −10.9514 + 15.5877i −0.790352 + 1.12494i
\(193\) 0.795552 2.44846i 0.0572651 0.176244i −0.918333 0.395810i \(-0.870464\pi\)
0.975598 + 0.219566i \(0.0704640\pi\)
\(194\) 12.2689 + 8.38448i 0.880855 + 0.601971i
\(195\) 20.4267 3.23528i 1.46279 0.231683i
\(196\) −11.1864 7.18071i −0.799031 0.512908i
\(197\) 2.18083 + 2.18083i 0.155378 + 0.155378i 0.780515 0.625137i \(-0.214957\pi\)
−0.625137 + 0.780515i \(0.714957\pi\)
\(198\) 6.34548 10.7993i 0.450953 0.767476i
\(199\) 18.5368i 1.31404i −0.753874 0.657019i \(-0.771817\pi\)
0.753874 0.657019i \(-0.228183\pi\)
\(200\) −22.6850 5.25617i −1.60407 0.371667i
\(201\) 6.20330 8.53812i 0.437547 0.602232i
\(202\) −0.674318 3.58535i −0.0474449 0.252264i
\(203\) 3.29748 1.68015i 0.231438 0.117923i
\(204\) 31.4619 + 13.8088i 2.20277 + 0.966807i
\(205\) −1.54025 + 9.72473i −0.107575 + 0.679204i
\(206\) 5.56949 + 1.63375i 0.388045 + 0.113829i
\(207\) 3.26781 + 10.0573i 0.227129 + 0.699031i
\(208\) 5.28574 + 7.95382i 0.366500 + 0.551498i
\(209\) −6.92788 + 1.58807i −0.479211 + 0.109849i
\(210\) −6.86026 + 2.44979i −0.473403 + 0.169051i
\(211\) 6.39680 + 3.25933i 0.440374 + 0.224382i 0.660097 0.751181i \(-0.270515\pi\)
−0.219723 + 0.975562i \(0.570515\pi\)
\(212\) 2.67626 + 2.38420i 0.183806 + 0.163748i
\(213\) 22.0350 + 3.49000i 1.50981 + 0.239131i
\(214\) 1.58818 + 1.49916i 0.108566 + 0.102481i
\(215\) 25.2535 + 8.20535i 1.72227 + 0.559600i
\(216\) 1.69909 + 1.42800i 0.115608 + 0.0971628i
\(217\) 1.48777 2.04773i 0.100996 0.139009i
\(218\) 0.561203 4.35168i 0.0380095 0.294733i
\(219\) −6.58190 6.58190i −0.444763 0.444763i
\(220\) 6.73762 + 23.1700i 0.454250 + 1.56212i
\(221\) 12.1794 12.1794i 0.819277 0.819277i
\(222\) 24.6399 19.0106i 1.65372 1.27591i
\(223\) 2.84977 + 2.07048i 0.190835 + 0.138649i 0.679100 0.734046i \(-0.262370\pi\)
−0.488266 + 0.872695i \(0.662370\pi\)
\(224\) −2.34753 2.40916i −0.156851 0.160969i
\(225\) 6.79391 20.9095i 0.452927 1.39397i
\(226\) −15.6596 + 0.451511i −1.04166 + 0.0300341i
\(227\) 0.0535474 0.338085i 0.00355406 0.0224395i −0.985848 0.167644i \(-0.946384\pi\)
0.989402 + 0.145205i \(0.0463841\pi\)
\(228\) 0.588061 + 10.1892i 0.0389453 + 0.674799i
\(229\) 6.62261 12.9976i 0.437634 0.858906i −0.561864 0.827230i \(-0.689916\pi\)
0.999498 0.0316759i \(-0.0100844\pi\)
\(230\) −18.4104 8.72161i −1.21395 0.575086i
\(231\) 3.53956 + 3.08657i 0.232886 + 0.203082i
\(232\) −17.0838 + 4.24510i −1.12161 + 0.278705i
\(233\) 16.2466 5.27884i 1.06435 0.345828i 0.276065 0.961139i \(-0.410970\pi\)
0.788285 + 0.615311i \(0.210970\pi\)
\(234\) −7.91258 + 4.32332i −0.517262 + 0.282624i
\(235\) −23.1336 3.66401i −1.50907 0.239014i
\(236\) −2.23249 + 5.08650i −0.145323 + 0.331103i
\(237\) 6.72470 + 13.1980i 0.436816 + 0.857300i
\(238\) −3.42308 + 5.00895i −0.221886 + 0.324682i
\(239\) −14.6106 10.6152i −0.945083 0.686643i 0.00455594 0.999990i \(-0.498550\pi\)
−0.949639 + 0.313347i \(0.898550\pi\)
\(240\) 34.4194 3.98623i 2.22176 0.257310i
\(241\) −0.568903 −0.0366463 −0.0183231 0.999832i \(-0.505833\pi\)
−0.0183231 + 0.999832i \(0.505833\pi\)
\(242\) 10.9088 11.0905i 0.701243 0.712923i
\(243\) −14.9715 + 14.9715i −0.960422 + 0.960422i
\(244\) −16.4330 + 3.58390i −1.05201 + 0.229436i
\(245\) 3.78221 + 23.8800i 0.241637 + 1.52563i
\(246\) −1.68477 8.95792i −0.107417 0.571136i
\(247\) 4.86602 + 1.58107i 0.309617 + 0.100601i
\(248\) −9.09260 + 7.89144i −0.577380 + 0.501107i
\(249\) −16.9482 23.3272i −1.07405 1.47830i
\(250\) 7.97440 + 14.5948i 0.504345 + 0.923058i
\(251\) −7.49431 + 14.7084i −0.473036 + 0.928386i 0.524019 + 0.851706i \(0.324432\pi\)
−0.997056 + 0.0766799i \(0.975568\pi\)
\(252\) 2.45754 2.01170i 0.154811 0.126725i
\(253\) 0.895761 + 13.1030i 0.0563160 + 0.823780i
\(254\) 1.60301 + 4.48899i 0.100582 + 0.281664i
\(255\) −19.3116 59.4349i −1.20934 3.72196i
\(256\) 8.29139 + 13.6840i 0.518212 + 0.855252i
\(257\) 16.9558 12.3191i 1.05768 0.768447i 0.0840192 0.996464i \(-0.473224\pi\)
0.973657 + 0.228017i \(0.0732243\pi\)
\(258\) −24.5715 + 0.708470i −1.52976 + 0.0441074i
\(259\) 2.49477 + 4.89626i 0.155017 + 0.304239i
\(260\) 4.40686 16.8017i 0.273302 1.04199i
\(261\) −2.59998 16.4156i −0.160934 1.01610i
\(262\) −3.53541 + 27.4142i −0.218418 + 1.69366i
\(263\) 6.90777i 0.425951i 0.977058 + 0.212976i \(0.0683155\pi\)
−0.977058 + 0.212976i \(0.931685\pi\)
\(264\) −13.0877 18.1029i −0.805491 1.11415i
\(265\) 6.51920i 0.400471i
\(266\) −1.78735 0.230501i −0.109589 0.0141329i
\(267\) 3.62325 + 22.8763i 0.221740 + 1.40001i
\(268\) −4.47250 7.65281i −0.273201 0.467470i
\(269\) 4.20316 + 8.24917i 0.256271 + 0.502961i 0.982916 0.184052i \(-0.0589215\pi\)
−0.726645 + 0.687013i \(0.758922\pi\)
\(270\) −0.116347 4.03521i −0.00708065 0.245575i
\(271\) 9.34083 6.78651i 0.567415 0.412251i −0.266750 0.963766i \(-0.585950\pi\)
0.834165 + 0.551515i \(0.185950\pi\)
\(272\) 21.2398 19.5353i 1.28785 1.18450i
\(273\) −1.04469 3.21522i −0.0632273 0.194594i
\(274\) 25.9596 9.27013i 1.56828 0.560029i
\(275\) 14.5056 23.1336i 0.874721 1.39501i
\(276\) 18.7662 + 1.87209i 1.12959 + 0.112687i
\(277\) 2.87480 5.64212i 0.172730 0.339002i −0.788370 0.615201i \(-0.789075\pi\)
0.961101 + 0.276199i \(0.0890748\pi\)
\(278\) 5.79888 3.16842i 0.347793 0.190029i
\(279\) −6.68145 9.19623i −0.400008 0.550564i
\(280\) −0.431615 + 6.10295i −0.0257939 + 0.364721i
\(281\) −1.66624 0.541393i −0.0993994 0.0322968i 0.258895 0.965905i \(-0.416642\pi\)
−0.358294 + 0.933609i \(0.616642\pi\)
\(282\) 21.3095 4.00782i 1.26896 0.238662i
\(283\) −0.0774856 0.489225i −0.00460604 0.0290814i 0.985278 0.170958i \(-0.0546863\pi\)
−0.989884 + 0.141877i \(0.954686\pi\)
\(284\) 10.1219 15.7684i 0.600626 0.935683i
\(285\) 13.1264 13.1264i 0.777541 0.777541i
\(286\) −10.8386 + 2.81564i −0.640900 + 0.166493i
\(287\) 1.60947 0.0950039
\(288\) −13.5477 + 6.68325i −0.798304 + 0.393814i
\(289\) −28.3539 20.6003i −1.66788 1.21178i
\(290\) 26.4345 + 18.0652i 1.55229 + 1.06083i
\(291\) 11.3597 + 22.2946i 0.665916 + 1.30693i
\(292\) −7.28366 + 2.84023i −0.426244 + 0.166212i
\(293\) 15.7373 + 2.49254i 0.919381 + 0.145616i 0.598149 0.801385i \(-0.295903\pi\)
0.321232 + 0.947000i \(0.395903\pi\)
\(294\) −10.7321 19.6419i −0.625907 1.14554i
\(295\) 9.60895 3.12214i 0.559455 0.181778i
\(296\) −6.30335 25.3669i −0.366375 1.47442i
\(297\) −2.23292 + 1.33695i −0.129567 + 0.0775775i
\(298\) −4.19880 + 8.86322i −0.243230 + 0.513432i
\(299\) 4.29217 8.42386i 0.248223 0.487164i
\(300\) −29.2766 26.0816i −1.69028 1.50582i
\(301\) 0.679004 4.28706i 0.0391371 0.247102i
\(302\) 0.920496 + 31.9252i 0.0529686 + 1.83709i
\(303\) 1.89826 5.84225i 0.109052 0.335629i
\(304\) 8.03475 + 2.98711i 0.460824 + 0.171322i
\(305\) 24.7492 + 17.9813i 1.41713 + 1.02961i
\(306\) 16.6434 + 21.5717i 0.951439 + 1.23317i
\(307\) −13.7157 + 13.7157i −0.782794 + 0.782794i −0.980301 0.197507i \(-0.936715\pi\)
0.197507 + 0.980301i \(0.436715\pi\)
\(308\) 3.56857 1.68030i 0.203338 0.0957439i
\(309\) 6.91066 + 6.91066i 0.393134 + 0.393134i
\(310\) 21.7182 + 2.80084i 1.23351 + 0.159077i
\(311\) −6.76150 + 9.30641i −0.383410 + 0.527718i −0.956484 0.291785i \(-0.905751\pi\)
0.573074 + 0.819504i \(0.305751\pi\)
\(312\) 1.38882 + 16.0203i 0.0786264 + 0.906973i
\(313\) 8.94934 + 2.90782i 0.505847 + 0.164360i 0.550813 0.834629i \(-0.314318\pi\)
−0.0449658 + 0.998989i \(0.514318\pi\)
\(314\) −6.05907 + 6.41885i −0.341933 + 0.362237i
\(315\) −5.70540 0.903646i −0.321463 0.0509147i
\(316\) 12.4201 0.716811i 0.698684 0.0403238i
\(317\) −27.2439 13.8814i −1.53017 0.779659i −0.532403 0.846491i \(-0.678711\pi\)
−0.997764 + 0.0668315i \(0.978711\pi\)
\(318\) 2.02963 + 5.68369i 0.113816 + 0.318725i
\(319\) 1.83105 20.5603i 0.102519 1.15116i
\(320\) 8.55253 27.8165i 0.478101 1.55499i
\(321\) 1.13639 + 3.49745i 0.0634271 + 0.195208i
\(322\) −0.937344 + 3.19543i −0.0522361 + 0.178074i
\(323\) 2.41856 15.2702i 0.134572 0.849655i
\(324\) 7.17884 + 18.4098i 0.398824 + 1.02277i
\(325\) −17.5135 + 8.92359i −0.971475 + 0.494991i
\(326\) 18.3607 3.45321i 1.01690 0.191256i
\(327\) 4.34262 5.97710i 0.240147 0.330534i
\(328\) −7.45796 1.72803i −0.411797 0.0954143i
\(329\) 3.82868i 0.211082i
\(330\) −8.75077 + 39.6765i −0.481714 + 2.18412i
\(331\) 17.8671 + 17.8671i 0.982065 + 0.982065i 0.999842 0.0177773i \(-0.00565900\pi\)
−0.0177773 + 0.999842i \(0.505659\pi\)
\(332\) −23.6611 + 5.16030i −1.29857 + 0.283208i
\(333\) 24.3747 3.86058i 1.33573 0.211558i
\(334\) 9.97081 14.5901i 0.545579 0.798337i
\(335\) −4.98200 + 15.3330i −0.272196 + 0.837733i
\(336\) −1.52374 5.45516i −0.0831271 0.297603i
\(337\) −12.0029 + 8.72063i −0.653840 + 0.475043i −0.864577 0.502500i \(-0.832414\pi\)
0.210737 + 0.977543i \(0.432414\pi\)
\(338\) −9.90615 2.90586i −0.538824 0.158058i
\(339\) −23.5036 11.9757i −1.27654 0.650431i
\(340\) −52.2282 5.21022i −2.83247 0.282564i
\(341\) −5.26817 13.0978i −0.285287 0.709287i
\(342\) −3.46493 + 7.31411i −0.187362 + 0.395502i
\(343\) 7.71749 2.50757i 0.416705 0.135396i
\(344\) −7.74923 + 19.1364i −0.417810 + 1.03177i
\(345\) −20.1624 27.7512i −1.08551 1.49407i
\(346\) −13.9394 + 14.7671i −0.749387 + 0.793884i
\(347\) −16.8214 + 8.57095i −0.903022 + 0.460113i −0.842895 0.538078i \(-0.819151\pi\)
−0.0601270 + 0.998191i \(0.519151\pi\)
\(348\) −28.6709 7.52002i −1.53692 0.403115i
\(349\) 33.3076 5.27541i 1.78292 0.282386i 0.824107 0.566434i \(-0.191677\pi\)
0.958810 + 0.284048i \(0.0916774\pi\)
\(350\) 5.48150 4.22918i 0.292998 0.226059i
\(351\) 1.87348 0.0999987
\(352\) −18.3401 + 3.95474i −0.977532 + 0.210789i
\(353\) 1.75325 0.0933159 0.0466579 0.998911i \(-0.485143\pi\)
0.0466579 + 0.998911i \(0.485143\pi\)
\(354\) −7.40543 + 5.71357i −0.393594 + 0.303673i
\(355\) −33.6612 + 5.33141i −1.78655 + 0.282962i
\(356\) 18.8165 + 4.93534i 0.997275 + 0.261573i
\(357\) −9.10209 + 4.63775i −0.481734 + 0.245456i
\(358\) 3.65442 3.87141i 0.193142 0.204610i
\(359\) −1.86056 2.56085i −0.0981968 0.135156i 0.757091 0.653309i \(-0.226620\pi\)
−0.855288 + 0.518153i \(0.826620\pi\)
\(360\) 25.4675 + 10.3130i 1.34225 + 0.543542i
\(361\) −13.7023 + 4.45216i −0.721176 + 0.234324i
\(362\) 4.18095 8.82555i 0.219746 0.463861i
\(363\) 25.0732 7.58038i 1.31600 0.397867i
\(364\) −2.82536 0.281854i −0.148089 0.0147732i
\(365\) 12.6696 + 6.45550i 0.663159 + 0.337896i
\(366\) −27.1755 7.97161i −1.42048 0.416683i
\(367\) −17.9705 + 13.0563i −0.938053 + 0.681536i −0.947951 0.318415i \(-0.896849\pi\)
0.00989793 + 0.999951i \(0.496849\pi\)
\(368\) 7.77428 13.8006i 0.405263 0.719407i
\(369\) 2.23358 6.87424i 0.116275 0.357859i
\(370\) −26.8241 + 39.2514i −1.39452 + 2.04058i
\(371\) −1.05254 + 0.166706i −0.0546452 + 0.00865495i
\(372\) −19.8068 + 4.31970i −1.02693 + 0.223966i
\(373\) 19.0056 + 19.0056i 0.984073 + 0.984073i 0.999875 0.0158022i \(-0.00503022\pi\)
−0.0158022 + 0.999875i \(0.505030\pi\)
\(374\) 13.5268 + 31.0172i 0.699456 + 1.60386i
\(375\) 28.0040i 1.44612i
\(376\) 4.11071 17.7414i 0.211994 0.914941i
\(377\) −8.73395 + 12.0213i −0.449821 + 0.619126i
\(378\) −0.648520 + 0.121971i −0.0333563 + 0.00627352i
\(379\) −18.1542 + 9.25001i −0.932517 + 0.475141i −0.853127 0.521703i \(-0.825297\pi\)
−0.0793894 + 0.996844i \(0.525297\pi\)
\(380\) −5.66433 14.5259i −0.290574 0.745165i
\(381\) −1.25556 + 7.92730i −0.0643243 + 0.406128i
\(382\) −10.1580 + 34.6290i −0.519730 + 1.77177i
\(383\) −0.769693 2.36887i −0.0393295 0.121044i 0.929464 0.368912i \(-0.120270\pi\)
−0.968794 + 0.247869i \(0.920270\pi\)
\(384\) 1.20373 + 26.9141i 0.0614277 + 1.37346i
\(385\) −6.59953 2.81346i −0.336343 0.143387i
\(386\) −1.22441 3.42878i −0.0623208 0.174520i
\(387\) −17.3683 8.84958i −0.882879 0.449849i
\(388\) 20.9806 1.21087i 1.06513 0.0614726i
\(389\) −30.3614 4.80878i −1.53938 0.243815i −0.671660 0.740860i \(-0.734418\pi\)
−0.867725 + 0.497045i \(0.834418\pi\)
\(390\) 20.0767 21.2688i 1.01662 1.07699i
\(391\) −27.1702 8.82814i −1.37406 0.446458i
\(392\) −18.7286 + 1.62361i −0.945939 + 0.0820045i
\(393\) −27.3571 + 37.6539i −1.37998 + 1.89939i
\(394\) 4.32583 + 0.557870i 0.217932 + 0.0281051i
\(395\) −16.0003 16.0003i −0.805063 0.805063i
\(396\) −2.22441 17.5737i −0.111781 0.883110i
\(397\) 2.97593 2.97593i 0.149358 0.149358i −0.628473 0.777831i \(-0.716320\pi\)
0.777831 + 0.628473i \(0.216320\pi\)
\(398\) −16.0136 20.7554i −0.802690 1.04038i
\(399\) −2.45495 1.78363i −0.122901 0.0892931i
\(400\) −29.9409 + 13.7119i −1.49705 + 0.685597i
\(401\) 11.7842 36.2680i 0.588474 1.81114i 0.00362405 0.999993i \(-0.498846\pi\)
0.584849 0.811142i \(-0.301154\pi\)
\(402\) −0.430158 14.9190i −0.0214543 0.744091i
\(403\) −1.58979 + 10.0375i −0.0791931 + 0.500005i
\(404\) −3.85235 3.43194i −0.191661 0.170746i
\(405\) 16.3166 32.0232i 0.810780 1.59124i
\(406\) 2.24070 4.72988i 0.111204 0.234740i
\(407\) 30.5290 + 2.71883i 1.51327 + 0.134767i
\(408\) 47.1567 11.7178i 2.33460 0.580120i
\(409\) −5.92736 + 1.92592i −0.293089 + 0.0952305i −0.451871 0.892083i \(-0.649243\pi\)
0.158782 + 0.987314i \(0.449243\pi\)
\(410\) 6.67643 + 12.2193i 0.329725 + 0.603467i
\(411\) 45.8432 + 7.26084i 2.26128 + 0.358151i
\(412\) 7.64747 2.98210i 0.376764 0.146918i
\(413\) −0.749793 1.47155i −0.0368949 0.0724103i
\(414\) 12.3473 + 8.43805i 0.606835 + 0.414707i
\(415\) 35.6353 + 25.8905i 1.74927 + 1.27092i
\(416\) 12.7896 + 4.33954i 0.627060 + 0.212764i
\(417\) 11.1267 0.544876
\(418\) −6.38517 + 7.76303i −0.312309 + 0.379702i
\(419\) 16.1546 16.1546i 0.789203 0.789203i −0.192160 0.981364i \(-0.561549\pi\)
0.981364 + 0.192160i \(0.0615494\pi\)
\(420\) −5.56504 + 8.66947i −0.271546 + 0.423027i
\(421\) −2.79646 17.6562i −0.136291 0.860510i −0.957195 0.289443i \(-0.906530\pi\)
0.820904 0.571066i \(-0.193470\pi\)
\(422\) 9.97812 1.87665i 0.485727 0.0913538i
\(423\) 16.3528 + 5.31334i 0.795099 + 0.258343i
\(424\) 5.05626 + 0.357590i 0.245553 + 0.0173661i
\(425\) 34.9114 + 48.0515i 1.69345 + 2.33084i
\(426\) 27.6873 15.1279i 1.34145 0.732950i
\(427\) 2.27026 4.45563i 0.109865 0.215623i
\(428\) 3.07337 + 0.306595i 0.148557 + 0.0148198i
\(429\) −18.2887 4.59014i −0.882988 0.221614i
\(430\) 35.3645 12.6286i 1.70543 0.609005i
\(431\) −7.50906 23.1105i −0.361699 1.11319i −0.952023 0.306028i \(-0.901000\pi\)
0.590324 0.807167i \(-0.299000\pi\)
\(432\) 3.13607 + 0.131101i 0.150884 + 0.00630759i
\(433\) −6.53613 + 4.74878i −0.314106 + 0.228212i −0.733656 0.679521i \(-0.762188\pi\)
0.419550 + 0.907732i \(0.362188\pi\)
\(434\) −0.103167 3.57808i −0.00495216 0.171754i
\(435\) 24.4755 + 48.0359i 1.17351 + 2.30315i
\(436\) −3.13097 5.35734i −0.149946 0.256570i
\(437\) −1.32753 8.38170i −0.0635044 0.400951i
\(438\) −13.0557 1.68369i −0.623824 0.0804500i
\(439\) 9.58321i 0.457382i −0.973499 0.228691i \(-0.926555\pi\)
0.973499 0.228691i \(-0.0734445\pi\)
\(440\) 27.5602 + 20.1227i 1.31388 + 0.959313i
\(441\) 17.7490i 0.845192i
\(442\) 3.11558 24.1588i 0.148193 1.14912i
\(443\) −5.28778 33.3857i −0.251230 1.58620i −0.714272 0.699868i \(-0.753242\pi\)
0.463042 0.886336i \(-0.346758\pi\)
\(444\) 11.1661 42.5720i 0.529920 2.02038i
\(445\) −16.0631 31.5257i −0.761466 1.49446i
\(446\) 4.97951 0.143574i 0.235786 0.00679842i
\(447\) −13.3601 + 9.70667i −0.631910 + 0.459110i
\(448\) −4.70974 0.669516i −0.222514 0.0316317i
\(449\) −1.75297 5.39508i −0.0827277 0.254610i 0.901134 0.433541i \(-0.142736\pi\)
−0.983862 + 0.178931i \(0.942736\pi\)
\(450\) −10.4563 29.2813i −0.492915 1.38033i
\(451\) 4.76888 7.60545i 0.224558 0.358126i
\(452\) −17.1438 + 14.0336i −0.806376 + 0.660084i
\(453\) −24.4149 + 47.9169i −1.14711 + 2.25133i
\(454\) −0.232109 0.424809i −0.0108934 0.0199373i
\(455\) 3.03557 + 4.17810i 0.142310 + 0.195872i
\(456\) 9.46076 + 10.9008i 0.443041 + 0.510476i
\(457\) 18.7550 + 6.09386i 0.877320 + 0.285059i 0.712844 0.701323i \(-0.247407\pi\)
0.164476 + 0.986381i \(0.447407\pi\)
\(458\) −3.81314 20.2744i −0.178176 0.947362i
\(459\) −0.885598 5.59145i −0.0413362 0.260986i
\(460\) −28.1484 + 6.13894i −1.31243 + 0.286229i
\(461\) 18.0992 18.0992i 0.842963 0.842963i −0.146280 0.989243i \(-0.546730\pi\)
0.989243 + 0.146280i \(0.0467300\pi\)
\(462\) 6.62965 + 0.398243i 0.308439 + 0.0185279i
\(463\) −13.9495 −0.648289 −0.324144 0.946008i \(-0.605076\pi\)
−0.324144 + 0.946008i \(0.605076\pi\)
\(464\) −15.4613 + 19.5116i −0.717771 + 0.905803i
\(465\) 29.8303 + 21.6730i 1.38335 + 1.00506i
\(466\) 13.6308 19.9458i 0.631437 0.923972i
\(467\) −6.97955 13.6981i −0.322975 0.633875i 0.671245 0.741236i \(-0.265760\pi\)
−0.994220 + 0.107361i \(0.965760\pi\)
\(468\) −5.12480 + 11.6763i −0.236894 + 0.539738i
\(469\) 2.60295 + 0.412267i 0.120193 + 0.0190367i
\(470\) −29.0678 + 15.8822i −1.34080 + 0.732592i
\(471\) −14.1354 + 4.59287i −0.651325 + 0.211628i
\(472\) 1.89444 + 7.62391i 0.0871989 + 0.350919i
\(473\) −18.2463 15.9112i −0.838968 0.731599i
\(474\) 18.9311 + 8.96828i 0.869534 + 0.411927i
\(475\) −8.00979 + 15.7201i −0.367514 + 0.721288i
\(476\) 0.494355 + 8.56562i 0.0226587 + 0.392604i
\(477\) −0.748665 + 4.72688i −0.0342790 + 0.216429i
\(478\) −25.5297 + 0.736096i −1.16770 + 0.0336683i
\(479\) −8.36683 + 25.7504i −0.382290 + 1.17657i 0.556137 + 0.831091i \(0.312283\pi\)
−0.938427 + 0.345477i \(0.887717\pi\)
\(480\) 35.0954 34.1977i 1.60188 1.56090i
\(481\) −17.8498 12.9686i −0.813879 0.591318i
\(482\) −0.636996 + 0.491466i −0.0290144 + 0.0223857i
\(483\) −3.96491 + 3.96491i −0.180410 + 0.180410i
\(484\) 2.63358 21.8418i 0.119708 0.992809i
\(485\) −27.0284 27.0284i −1.22730 1.22730i
\(486\) −3.82981 + 29.6971i −0.173724 + 1.34709i
\(487\) 10.0887 13.8859i 0.457162 0.629229i −0.516755 0.856133i \(-0.672860\pi\)
0.973917 + 0.226904i \(0.0728603\pi\)
\(488\) −15.3038 + 18.2090i −0.692770 + 0.824285i
\(489\) 29.9184 + 9.72108i 1.35296 + 0.439602i
\(490\) 24.8644 + 23.4708i 1.12326 + 1.06030i
\(491\) −17.5002 2.77175i −0.789772 0.125088i −0.251498 0.967858i \(-0.580923\pi\)
−0.538273 + 0.842770i \(0.680923\pi\)
\(492\) −9.62502 8.57464i −0.433929 0.386575i
\(493\) 40.0064 + 20.3843i 1.80180 + 0.918062i
\(494\) 6.81429 2.43337i 0.306589 0.109482i
\(495\) −21.1753 + 24.2830i −0.951759 + 1.09144i
\(496\) −3.36360 + 16.6909i −0.151030 + 0.749444i
\(497\) 1.72154 + 5.29835i 0.0772216 + 0.237664i
\(498\) −39.1287 11.4780i −1.75340 0.514340i
\(499\) −0.311692 + 1.96794i −0.0139532 + 0.0880972i −0.993682 0.112230i \(-0.964201\pi\)
0.979729 + 0.200327i \(0.0642006\pi\)
\(500\) 21.5371 + 9.45273i 0.963168 + 0.422739i
\(501\) 26.5127 13.5089i 1.18450 0.603533i
\(502\) 4.31505 + 22.9431i 0.192590 + 1.02400i
\(503\) 15.4461 21.2597i 0.688707 0.947925i −0.311290 0.950315i \(-0.600761\pi\)
0.999997 + 0.00239055i \(0.000760937\pi\)
\(504\) 1.01381 4.37551i 0.0451589 0.194901i
\(505\) 9.38406i 0.417585i
\(506\) 12.3225 + 13.8975i 0.547800 + 0.617819i
\(507\) −12.2916 12.2916i −0.545890 0.545890i
\(508\) 5.67284 + 3.64147i 0.251692 + 0.161564i
\(509\) 6.37407 1.00955i 0.282526 0.0447477i −0.0135633 0.999908i \(-0.504317\pi\)
0.296089 + 0.955160i \(0.404317\pi\)
\(510\) −72.9678 49.8657i −3.23107 2.20809i
\(511\) 0.718275 2.21062i 0.0317746 0.0977922i
\(512\) 21.1052 + 8.15908i 0.932727 + 0.360584i
\(513\) 1.36046 0.988436i 0.0600660 0.0436405i
\(514\) 8.34299 28.4415i 0.367993 1.25450i
\(515\) −13.3025 6.77795i −0.586177 0.298672i
\(516\) −26.9005 + 22.0202i −1.18423 + 0.969385i
\(517\) 18.0922 + 11.3444i 0.795694 + 0.498928i
\(518\) 7.02317 + 3.32711i 0.308580 + 0.146185i
\(519\) −32.5197 + 10.5663i −1.42746 + 0.463809i
\(520\) −9.58035 22.6197i −0.420126 0.991938i
\(521\) −13.6528 18.7915i −0.598140 0.823269i 0.397397 0.917647i \(-0.369914\pi\)
−0.995536 + 0.0943782i \(0.969914\pi\)
\(522\) −17.0923 16.1343i −0.748111 0.706180i
\(523\) 5.88198 2.99702i 0.257201 0.131050i −0.320637 0.947202i \(-0.603897\pi\)
0.577837 + 0.816152i \(0.303897\pi\)
\(524\) 19.7241 + 33.7496i 0.861652 + 1.47436i
\(525\) 11.5141 1.82366i 0.502518 0.0795910i
\(526\) 5.96751 + 7.73456i 0.260196 + 0.337243i
\(527\) 30.7089 1.33770
\(528\) −30.2929 8.96338i −1.31833 0.390081i
\(529\) 7.31896 0.318216
\(530\) −5.63182 7.29948i −0.244631 0.317069i
\(531\) −7.32572 + 1.16028i −0.317909 + 0.0503519i
\(532\) −2.20040 + 1.28597i −0.0953996 + 0.0557539i
\(533\) −5.75777 + 2.93373i −0.249397 + 0.127074i
\(534\) 23.8194 + 22.4843i 1.03077 + 0.972992i
\(535\) −3.30203 4.54485i −0.142759 0.196491i
\(536\) −11.6189 4.70506i −0.501862 0.203228i
\(537\) 8.52551 2.77011i 0.367903 0.119539i
\(538\) 11.8326 + 5.60547i 0.510138 + 0.241669i
\(539\) 5.36612 21.3805i 0.231135 0.920924i
\(540\) −3.61622 4.41768i −0.155618 0.190106i
\(541\) −10.6186 5.41045i −0.456530 0.232614i 0.210575 0.977578i \(-0.432467\pi\)
−0.667104 + 0.744964i \(0.732467\pi\)
\(542\) 4.59608 15.6682i 0.197419 0.673006i
\(543\) 13.3033 9.66542i 0.570900 0.414783i
\(544\) 6.90584 40.2222i 0.296085 1.72451i
\(545\) −3.48764 + 10.7339i −0.149394 + 0.459788i
\(546\) −3.94730 2.69756i −0.168929 0.115445i
\(547\) −6.35935 + 1.00722i −0.271906 + 0.0430657i −0.290899 0.956754i \(-0.593954\pi\)
0.0189923 + 0.999820i \(0.493954\pi\)
\(548\) 21.0584 32.8057i 0.899570 1.40139i
\(549\) −15.8800 15.8800i −0.677740 0.677740i
\(550\) −3.74297 38.4336i −0.159601 1.63882i
\(551\) 13.3375i 0.568196i
\(552\) 22.6296 14.1157i 0.963180 0.600802i
\(553\) −2.17414 + 2.99244i −0.0924537 + 0.127252i
\(554\) −1.65524 8.80092i −0.0703246 0.373915i
\(555\) −71.3262 + 36.3425i −3.02763 + 1.54265i
\(556\) 3.75580 8.55720i 0.159281 0.362906i
\(557\) 0.866987 5.47394i 0.0367354 0.231938i −0.962489 0.271322i \(-0.912539\pi\)
0.999224 + 0.0393833i \(0.0125393\pi\)
\(558\) −15.4256 4.52493i −0.653019 0.191556i
\(559\) 5.38534 + 16.5744i 0.227776 + 0.701022i
\(560\) 4.78896 + 7.20628i 0.202371 + 0.304521i
\(561\) −5.05427 + 56.7531i −0.213391 + 2.39612i
\(562\) −2.33337 + 0.833242i −0.0984272 + 0.0351482i
\(563\) 35.3553 + 18.0144i 1.49005 + 0.759218i 0.994031 0.109095i \(-0.0347953\pi\)
0.496017 + 0.868313i \(0.334795\pi\)
\(564\) 20.3978 22.8964i 0.858901 0.964114i
\(565\) 39.8008 + 6.30382i 1.67443 + 0.265204i
\(566\) −0.509393 0.480842i −0.0214114 0.0202113i
\(567\) −5.58747 1.81548i −0.234652 0.0762429i
\(568\) −2.28864 26.3999i −0.0960290 1.10771i
\(569\) 1.37153 1.88775i 0.0574975 0.0791385i −0.779300 0.626651i \(-0.784425\pi\)
0.836797 + 0.547513i \(0.184425\pi\)
\(570\) 3.35782 26.0372i 0.140644 1.09058i
\(571\) 3.39292 + 3.39292i 0.141989 + 0.141989i 0.774529 0.632539i \(-0.217987\pi\)
−0.632539 + 0.774529i \(0.717987\pi\)
\(572\) −9.70348 + 12.5159i −0.405723 + 0.523318i
\(573\) −42.9679 + 42.9679i −1.79501 + 1.79501i
\(574\) 1.80211 1.39039i 0.0752184 0.0580339i
\(575\) 26.3751 + 19.1627i 1.09992 + 0.799138i
\(576\) −9.39564 + 19.1868i −0.391485 + 0.799449i
\(577\) −4.74214 + 14.5948i −0.197418 + 0.607590i 0.802522 + 0.596623i \(0.203491\pi\)
−0.999940 + 0.0109675i \(0.996509\pi\)
\(578\) −49.5438 + 1.42849i −2.06075 + 0.0594175i
\(579\) 0.959021 6.05502i 0.0398556 0.251638i
\(580\) 45.2047 2.60894i 1.87702 0.108330i
\(581\) 3.26884 6.41547i 0.135615 0.266158i
\(582\) 31.9792 + 15.1496i 1.32558 + 0.627972i
\(583\) −2.33094 + 5.46767i −0.0965376 + 0.226448i
\(584\) −5.70181 + 9.47241i −0.235942 + 0.391971i
\(585\) 22.0579 7.16703i 0.911980 0.296320i
\(586\) 19.7741 10.8043i 0.816862 0.446321i
\(587\) 34.2975 + 5.43219i 1.41561 + 0.224211i 0.816911 0.576763i \(-0.195685\pi\)
0.598699 + 0.800974i \(0.295685\pi\)
\(588\) −28.9849 12.7216i −1.19532 0.524631i
\(589\) 4.14129 + 8.12774i 0.170639 + 0.334898i
\(590\) 8.06188 11.7968i 0.331902 0.485668i
\(591\) 5.94160 + 4.31683i 0.244405 + 0.177571i
\(592\) −28.9718 22.9577i −1.19073 0.943554i
\(593\) −13.7554 −0.564865 −0.282432 0.959287i \(-0.591141\pi\)
−0.282432 + 0.959287i \(0.591141\pi\)
\(594\) −1.34521 + 3.42594i −0.0551946 + 0.140568i
\(595\) 11.0347 11.0347i 0.452381 0.452381i
\(596\) 2.95543 + 13.5513i 0.121059 + 0.555084i
\(597\) −6.90520 43.5977i −0.282611 1.78434i
\(598\) −2.47133 13.1400i −0.101060 0.537336i
\(599\) −26.4038 8.57912i −1.07883 0.350533i −0.284910 0.958554i \(-0.591964\pi\)
−0.793921 + 0.608021i \(0.791964\pi\)
\(600\) −55.3122 3.91181i −2.25811 0.159699i
\(601\) −26.9960 37.1568i −1.10119 1.51566i −0.833797 0.552071i \(-0.813838\pi\)
−0.267393 0.963587i \(-0.586162\pi\)
\(602\) −2.94325 5.38676i −0.119958 0.219548i
\(603\) 5.37315 10.5454i 0.218812 0.429442i
\(604\) 28.6103 + 34.9511i 1.16414 + 1.42214i
\(605\) −32.8494 + 22.8493i −1.33552 + 0.928957i
\(606\) −2.92156 8.18139i −0.118680 0.332346i
\(607\) −0.456892 1.40617i −0.0185447 0.0570746i 0.941356 0.337415i \(-0.109553\pi\)
−0.959901 + 0.280341i \(0.909553\pi\)
\(608\) 11.5769 3.59645i 0.469507 0.145855i
\(609\) 7.12965 5.17999i 0.288908 0.209904i
\(610\) 43.2452 1.24689i 1.75095 0.0504850i
\(611\) −6.97890 13.6969i −0.282336 0.554116i
\(612\) 37.2709 + 9.77568i 1.50659 + 0.395158i
\(613\) 4.84565 + 30.5942i 0.195714 + 1.23569i 0.868439 + 0.495797i \(0.165124\pi\)
−0.672725 + 0.739893i \(0.734876\pi\)
\(614\) −3.50856 + 27.2060i −0.141594 + 1.09795i
\(615\) 23.4459i 0.945430i
\(616\) 2.54411 4.96424i 0.102505 0.200015i
\(617\) 29.7772i 1.19879i −0.800455 0.599393i \(-0.795409\pi\)
0.800455 0.599393i \(-0.204591\pi\)
\(618\) 13.7078 + 1.76779i 0.551409 + 0.0711111i
\(619\) 2.20711 + 13.9352i 0.0887113 + 0.560101i 0.991509 + 0.130036i \(0.0415094\pi\)
−0.902798 + 0.430065i \(0.858491\pi\)
\(620\) 26.7373 15.6259i 1.07379 0.627553i
\(621\) −1.41072 2.76868i −0.0566100 0.111103i
\(622\) 0.468865 + 16.2614i 0.0187998 + 0.652024i
\(623\) −4.67914 + 3.39960i −0.187466 + 0.136202i
\(624\) 15.3947 + 16.7380i 0.616283 + 0.670057i
\(625\) −0.499214 1.53642i −0.0199686 0.0614569i
\(626\) 12.5325 4.47533i 0.500900 0.178870i
\(627\) −15.7025 + 6.31581i −0.627097 + 0.252229i
\(628\) −1.23915 + 12.4215i −0.0494474 + 0.495670i
\(629\) −30.2676 + 59.4035i −1.20685 + 2.36857i
\(630\) −7.16892 + 3.91699i −0.285617 + 0.156057i
\(631\) −4.75010 6.53795i −0.189098 0.260272i 0.703933 0.710267i \(-0.251426\pi\)
−0.893031 + 0.449995i \(0.851426\pi\)
\(632\) 13.2874 11.5321i 0.528545 0.458723i
\(633\) 16.2592 + 5.28292i 0.646243 + 0.209977i
\(634\) −42.4966 + 7.99261i −1.68776 + 0.317427i
\(635\) −1.91803 12.1099i −0.0761146 0.480569i
\(636\) 7.18260 + 4.61060i 0.284809 + 0.182822i
\(637\) −11.2206 + 11.2206i −0.444575 + 0.444575i
\(638\) −15.7115 24.6030i −0.622025 0.974043i
\(639\) 25.0190 0.989738
\(640\) −14.4540 38.5342i −0.571345 1.52320i
\(641\) −2.74164 1.99192i −0.108288 0.0786760i 0.532323 0.846541i \(-0.321319\pi\)
−0.640612 + 0.767865i \(0.721319\pi\)
\(642\) 4.29379 + 2.93435i 0.169462 + 0.115809i
\(643\) 12.8119 + 25.1448i 0.505252 + 0.991613i 0.992943 + 0.118596i \(0.0378395\pi\)
−0.487690 + 0.873017i \(0.662161\pi\)
\(644\) 1.71095 + 4.38765i 0.0674207 + 0.172898i
\(645\) 62.4517 + 9.89138i 2.45903 + 0.389473i
\(646\) −10.4836 19.1872i −0.412472 0.754910i
\(647\) −4.39179 + 1.42698i −0.172659 + 0.0561004i −0.394071 0.919080i \(-0.628934\pi\)
0.221412 + 0.975180i \(0.428934\pi\)
\(648\) 23.9420 + 14.4116i 0.940531 + 0.566142i
\(649\) −9.17538 0.817133i −0.360165 0.0320753i
\(650\) −11.9008 + 25.1213i −0.466787 + 0.985338i
\(651\) 2.73635 5.37040i 0.107246 0.210482i
\(652\) 17.5751 19.7280i 0.688295 0.772609i
\(653\) −0.784899 + 4.95566i −0.0307155 + 0.193930i −0.998275 0.0587138i \(-0.981300\pi\)
0.967559 + 0.252644i \(0.0813001\pi\)
\(654\) −0.301132 10.4440i −0.0117752 0.408393i
\(655\) 21.9711 67.6200i 0.858481 2.64213i
\(656\) −9.84342 + 4.50796i −0.384321 + 0.176006i
\(657\) −8.44504 6.13568i −0.329472 0.239376i
\(658\) 3.30753 + 4.28694i 0.128941 + 0.167122i
\(659\) 18.4374 18.4374i 0.718218 0.718218i −0.250022 0.968240i \(-0.580438\pi\)
0.968240 + 0.250022i \(0.0804378\pi\)
\(660\) 24.4777 + 51.9850i 0.952794 + 2.02351i
\(661\) 7.70664 + 7.70664i 0.299754 + 0.299754i 0.840917 0.541164i \(-0.182016\pi\)
−0.541164 + 0.840917i \(0.682016\pi\)
\(662\) 35.4407 + 4.57052i 1.37744 + 0.177638i
\(663\) 24.1085 33.1825i 0.936297 1.28870i
\(664\) −22.0352 + 26.2184i −0.855133 + 1.01747i
\(665\) 4.40869 + 1.43247i 0.170961 + 0.0555488i
\(666\) 23.9570 25.3796i 0.928317 0.983438i
\(667\) 24.3420 + 3.85540i 0.942527 + 0.149282i
\(668\) −1.43996 24.9501i −0.0557139 0.965347i
\(669\) 7.47381 + 3.80810i 0.288954 + 0.147230i
\(670\) 7.66765 + 21.4721i 0.296227 + 0.829540i
\(671\) −14.3280 23.9301i −0.553126 0.923811i
\(672\) −6.41874 4.79175i −0.247608 0.184846i
\(673\) −6.84160 21.0563i −0.263724 0.811661i −0.991985 0.126360i \(-0.959671\pi\)
0.728260 0.685301i \(-0.240329\pi\)
\(674\) −5.90594 + 20.1335i −0.227488 + 0.775514i
\(675\) −1.01062 + 6.38080i −0.0388987 + 0.245597i
\(676\) −13.6021 + 5.30410i −0.523159 + 0.204004i
\(677\) −37.8488 + 19.2849i −1.45465 + 0.741179i −0.989565 0.144089i \(-0.953975\pi\)
−0.465081 + 0.885268i \(0.653975\pi\)
\(678\) −36.6624 + 6.89533i −1.40801 + 0.264813i
\(679\) −3.67265 + 5.05497i −0.140943 + 0.193992i
\(680\) −62.9805 + 39.2853i −2.41519 + 1.50652i
\(681\) 0.815108i 0.0312350i
\(682\) −17.2137 10.1144i −0.659147 0.387301i
\(683\) 4.04312 + 4.04312i 0.154706 + 0.154706i 0.780216 0.625510i \(-0.215109\pi\)
−0.625510 + 0.780216i \(0.715109\pi\)
\(684\) 2.43889 + 11.1828i 0.0932531 + 0.427586i
\(685\) −70.0312 + 11.0919i −2.67575 + 0.423798i
\(686\) 6.47496 9.47471i 0.247215 0.361746i
\(687\) 10.7343 33.0368i 0.409539 1.26043i
\(688\) 7.85487 + 28.1213i 0.299464 + 1.07211i
\(689\) 3.46153 2.51495i 0.131874 0.0958119i
\(690\) −46.5494 13.6547i −1.77211 0.519827i
\(691\) 20.8891 + 10.6435i 0.794658 + 0.404899i 0.803681 0.595061i \(-0.202872\pi\)
−0.00902258 + 0.999959i \(0.502872\pi\)
\(692\) −2.85076 + 28.5766i −0.108370 + 1.08632i
\(693\) 4.46203 + 2.79785i 0.169499 + 0.106282i
\(694\) −11.4305 + 24.1286i −0.433896 + 0.915908i
\(695\) −16.1655 + 5.25249i −0.613192 + 0.199238i
\(696\) −38.5990 + 16.3482i −1.46309 + 0.619679i
\(697\) 11.4775 + 15.7975i 0.434743 + 0.598372i
\(698\) 32.7369 34.6807i 1.23911 1.31269i
\(699\) 36.2448 18.4677i 1.37091 0.698512i
\(700\) 2.48406 9.47075i 0.0938885 0.357961i
\(701\) −37.1518 + 5.88427i −1.40320 + 0.222246i −0.811709 0.584062i \(-0.801462\pi\)
−0.591496 + 0.806308i \(0.701462\pi\)
\(702\) 2.09771 1.61846i 0.0791730 0.0610850i
\(703\) −19.8042 −0.746928
\(704\) −17.1188 + 20.2718i −0.645189 + 0.764023i
\(705\) −55.7742 −2.10058
\(706\) 1.96309 1.51460i 0.0738820 0.0570027i
\(707\) 1.51508 0.239965i 0.0569805 0.00902482i
\(708\) −3.35593 + 12.7949i −0.126123 + 0.480860i
\(709\) −25.8027 + 13.1472i −0.969042 + 0.493752i −0.865519 0.500875i \(-0.833011\pi\)
−0.103523 + 0.994627i \(0.533011\pi\)
\(710\) −33.0844 + 35.0489i −1.24163 + 1.31536i
\(711\) 9.76389 + 13.4388i 0.366175 + 0.503996i
\(712\) 25.3323 10.7292i 0.949366 0.402095i
\(713\) 16.0309 5.20876i 0.600362 0.195070i
\(714\) −6.18505 + 13.0560i −0.231470 + 0.488608i
\(715\) 28.7378 1.96460i 1.07473 0.0734719i
\(716\) 0.747369 7.49177i 0.0279305 0.279980i
\(717\) −38.3179 19.5239i −1.43101 0.729135i
\(718\) −4.29553 1.26004i −0.160308 0.0470244i
\(719\) 0.679788 0.493895i 0.0253518 0.0184192i −0.575037 0.818127i \(-0.695012\pi\)
0.600389 + 0.799708i \(0.295012\pi\)
\(720\) 37.4249 10.4536i 1.39474 0.389582i
\(721\) −0.754152 + 2.32104i −0.0280861 + 0.0864401i
\(722\) −11.4962 + 16.8223i −0.427845 + 0.626060i
\(723\) −1.33804 + 0.211924i −0.0497621 + 0.00788155i
\(724\) −2.94287 13.4937i −0.109371 0.501491i
\(725\) −36.2313 36.2313i −1.34560 1.34560i
\(726\) 21.5256 30.1480i 0.798891 1.11890i
\(727\) 16.8430i 0.624674i −0.949971 0.312337i \(-0.898888\pi\)
0.949971 0.312337i \(-0.101112\pi\)
\(728\) −3.40702 + 2.12519i −0.126273 + 0.0787649i
\(729\) −12.2133 + 16.8101i −0.452344 + 0.622597i
\(730\) 19.7629 3.71692i 0.731456 0.137570i
\(731\) 46.9211 23.9075i 1.73544 0.884251i
\(732\) −37.3146 + 14.5507i −1.37919 + 0.537809i
\(733\) 2.09913 13.2534i 0.0775332 0.489525i −0.918114 0.396318i \(-0.870288\pi\)
0.995647 0.0932077i \(-0.0297120\pi\)
\(734\) −8.84225 + 30.1435i −0.326373 + 1.11262i
\(735\) 17.7912 + 54.7557i 0.656239 + 2.01969i
\(736\) −3.21734 22.1685i −0.118593 0.817141i
\(737\) 9.66074 11.0785i 0.355858 0.408083i
\(738\) −3.43763 9.62657i −0.126541 0.354359i
\(739\) 12.5504 + 6.39473i 0.461673 + 0.235234i 0.669326 0.742968i \(-0.266583\pi\)
−0.207654 + 0.978202i \(0.566583\pi\)
\(740\) 3.87389 + 67.1223i 0.142407 + 2.46746i
\(741\) 12.0336 + 1.90594i 0.442067 + 0.0700165i
\(742\) −1.03450 + 1.09593i −0.0379779 + 0.0402329i
\(743\) −13.4599 4.37338i −0.493795 0.160444i 0.0515249 0.998672i \(-0.483592\pi\)
−0.545320 + 0.838228i \(0.683592\pi\)
\(744\) −18.4457 + 21.9475i −0.676253 + 0.804633i
\(745\) 14.8282 20.4092i 0.543262 0.747736i
\(746\) 37.6990 + 4.86176i 1.38026 + 0.178002i
\(747\) −22.8649 22.8649i −0.836581 0.836581i
\(748\) 41.9411 + 23.0440i 1.53352 + 0.842573i
\(749\) −0.649340 + 0.649340i −0.0237264 + 0.0237264i
\(750\) 24.1922 + 31.3558i 0.883375 + 1.14495i
\(751\) −1.36329 0.990490i −0.0497472 0.0361435i 0.562634 0.826706i \(-0.309788\pi\)
−0.612381 + 0.790563i \(0.709788\pi\)
\(752\) −10.7237 23.4160i −0.391055 0.853894i
\(753\) −12.1472 + 37.3853i −0.442669 + 1.36240i
\(754\) 0.605642 + 21.0052i 0.0220562 + 0.764964i
\(755\) 12.8516 81.1419i 0.467718 2.95305i
\(756\) −0.620772 + 0.696816i −0.0225773 + 0.0253429i
\(757\) 3.31399 6.50407i 0.120449 0.236394i −0.822907 0.568175i \(-0.807649\pi\)
0.943356 + 0.331781i \(0.107649\pi\)
\(758\) −12.3361 + 26.0402i −0.448068 + 0.945823i
\(759\) 6.98784 + 30.4841i 0.253643 + 1.10650i
\(760\) −18.8910 11.3712i −0.685249 0.412478i
\(761\) 14.1485 4.59711i 0.512881 0.166645i −0.0411310 0.999154i \(-0.513096\pi\)
0.554012 + 0.832509i \(0.313096\pi\)
\(762\) 5.44242 + 9.96077i 0.197158 + 0.360841i
\(763\) 1.82219 + 0.288607i 0.0659679 + 0.0104483i
\(764\) 18.5416 + 47.5491i 0.670811 + 1.72027i
\(765\) −31.8171 62.4445i −1.15035 2.25769i
\(766\) −2.90825 1.98748i −0.105079 0.0718104i
\(767\) 5.36467 + 3.89766i 0.193707