Properties

Label 552.2.bb.a.469.46
Level $552$
Weight $2$
Character 552.469
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
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] = [552,2,Mod(13,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), 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: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 469.46
Character \(\chi\) \(=\) 552.469
Dual form 552.2.bb.a.133.46

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.40720 + 0.140672i) q^{2} +(0.755750 - 0.654861i) q^{3} +(1.96042 + 0.395908i) q^{4} +(-3.07552 + 0.442193i) q^{5} +(1.15561 - 0.815207i) q^{6} +(1.27307 - 2.78762i) q^{7} +(2.70301 + 0.832898i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(1.40720 + 0.140672i) q^{2} +(0.755750 - 0.654861i) q^{3} +(1.96042 + 0.395908i) q^{4} +(-3.07552 + 0.442193i) q^{5} +(1.15561 - 0.815207i) q^{6} +(1.27307 - 2.78762i) q^{7} +(2.70301 + 0.832898i) q^{8} +(0.142315 - 0.989821i) q^{9} +(-4.39008 + 0.189614i) q^{10} +(0.100084 - 0.340854i) q^{11} +(1.74085 - 0.984597i) q^{12} +(5.09316 - 2.32597i) q^{13} +(2.18360 - 3.74366i) q^{14} +(-2.03475 + 2.34823i) q^{15} +(3.68651 + 1.55229i) q^{16} +(4.48672 + 2.88344i) q^{17} +(0.339506 - 1.37286i) q^{18} +(-0.803720 - 1.25061i) q^{19} +(-6.20439 - 0.350737i) q^{20} +(-0.863387 - 2.94043i) q^{21} +(0.188787 - 0.465571i) q^{22} +(-3.41356 - 3.36862i) q^{23} +(2.58823 - 1.14064i) q^{24} +(4.46584 - 1.31129i) q^{25} +(7.49429 - 2.55663i) q^{26} +(-0.540641 - 0.841254i) q^{27} +(3.59939 - 4.96091i) q^{28} +(-3.99184 + 6.21143i) q^{29} +(-3.19363 + 3.01819i) q^{30} +(-1.04581 + 1.20693i) q^{31} +(4.96930 + 2.70298i) q^{32} +(-0.147574 - 0.323142i) q^{33} +(5.90809 + 4.68873i) q^{34} +(-2.68267 + 9.13634i) q^{35} +(0.670875 - 1.88412i) q^{36} +(-5.87018 - 0.844004i) q^{37} +(-0.955068 - 1.87292i) q^{38} +(2.32597 - 5.09316i) q^{39} +(-8.68148 - 1.36634i) q^{40} +(1.40087 + 9.74326i) q^{41} +(-0.801322 - 4.25922i) q^{42} +(-5.06294 + 4.38706i) q^{43} +(0.331154 - 0.628595i) q^{44} +3.10715i q^{45} +(-4.32968 - 5.22052i) q^{46} -10.7149 q^{47} +(3.80262 - 1.24101i) q^{48} +(-1.56613 - 1.80741i) q^{49} +(6.46879 - 1.21703i) q^{50} +(5.27909 - 0.759018i) q^{51} +(10.9056 - 2.54346i) q^{52} +(-6.17903 - 2.82187i) q^{53} +(-0.642449 - 1.25986i) q^{54} +(-0.157087 + 1.09256i) q^{55} +(5.76292 - 6.47465i) q^{56} +(-1.42639 - 0.418825i) q^{57} +(-6.49109 + 8.17918i) q^{58} +(12.5593 - 5.73563i) q^{59} +(-4.91865 + 3.79794i) q^{60} +(-5.74764 - 4.98036i) q^{61} +(-1.64145 + 1.55127i) q^{62} +(-2.57807 - 1.65683i) q^{63} +(6.61256 + 4.50267i) q^{64} +(-14.6356 + 9.40572i) q^{65} +(-0.162209 - 0.475484i) q^{66} +(0.617146 + 2.10180i) q^{67} +(7.65429 + 7.42909i) q^{68} +(-4.78577 - 0.310432i) q^{69} +(-5.06028 + 12.4793i) q^{70} +(8.31064 - 2.44022i) q^{71} +(1.20910 - 2.55697i) q^{72} +(-6.36471 + 4.09035i) q^{73} +(-8.14178 - 2.01345i) q^{74} +(2.51634 - 3.91551i) q^{75} +(-1.08050 - 2.76993i) q^{76} +(-0.822761 - 0.712926i) q^{77} +(3.98956 - 6.83989i) q^{78} +(5.12023 + 11.2117i) q^{79} +(-12.0244 - 3.14396i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(0.600698 + 13.9078i) q^{82} +(0.513390 + 0.0738143i) q^{83} +(-0.528467 - 6.10630i) q^{84} +(-15.0740 - 6.88409i) q^{85} +(-7.74171 + 5.46126i) q^{86} +(1.05079 + 7.30838i) q^{87} +(0.554425 - 0.837974i) q^{88} +(-5.20322 - 6.00484i) q^{89} +(-0.437089 + 4.37238i) q^{90} -17.1589i q^{91} +(-5.35835 - 7.95538i) q^{92} +1.59700i q^{93} +(-15.0780 - 1.50729i) q^{94} +(3.02487 + 3.49089i) q^{95} +(5.52562 - 1.21143i) q^{96} +(0.491261 + 3.41679i) q^{97} +(-1.94961 - 2.76370i) q^{98} +(-0.323142 - 0.147574i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32} + 6 q^{34} - 22 q^{36} + 90 q^{38} - 74 q^{40} + 90 q^{42} - 130 q^{44} + 96 q^{46} - 88 q^{48} - 48 q^{49} + 142 q^{50} - 142 q^{52} + 18 q^{54} - 82 q^{56} + 22 q^{58} + 2 q^{60} - 40 q^{62} - 8 q^{63} + 16 q^{66} - 44 q^{68} + 16 q^{71} - 4 q^{72} + 10 q^{74} - 138 q^{76} - 40 q^{79} - 170 q^{80} - 48 q^{81} - 124 q^{82} - 8 q^{84} - 216 q^{86} - 108 q^{88} + 4 q^{90} - 198 q^{92} - 238 q^{94} + 80 q^{95} + 4 q^{96} - 132 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{5}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40720 + 0.140672i 0.995041 + 0.0994702i
\(3\) 0.755750 0.654861i 0.436332 0.378084i
\(4\) 1.96042 + 0.395908i 0.980211 + 0.197954i
\(5\) −3.07552 + 0.442193i −1.37542 + 0.197755i −0.790064 0.613025i \(-0.789953\pi\)
−0.585352 + 0.810780i \(0.699044\pi\)
\(6\) 1.15561 0.815207i 0.471776 0.332807i
\(7\) 1.27307 2.78762i 0.481174 1.05362i −0.500966 0.865467i \(-0.667022\pi\)
0.982139 0.188156i \(-0.0602510\pi\)
\(8\) 2.70301 + 0.832898i 0.955660 + 0.294474i
\(9\) 0.142315 0.989821i 0.0474383 0.329940i
\(10\) −4.39008 + 0.189614i −1.38826 + 0.0599613i
\(11\) 0.100084 0.340854i 0.0301764 0.102771i −0.943028 0.332714i \(-0.892036\pi\)
0.973204 + 0.229942i \(0.0738538\pi\)
\(12\) 1.74085 0.984597i 0.502541 0.284229i
\(13\) 5.09316 2.32597i 1.41259 0.645107i 0.444514 0.895772i \(-0.353377\pi\)
0.968074 + 0.250665i \(0.0806493\pi\)
\(14\) 2.18360 3.74366i 0.583591 1.00054i
\(15\) −2.03475 + 2.34823i −0.525370 + 0.606309i
\(16\) 3.68651 + 1.55229i 0.921629 + 0.388073i
\(17\) 4.48672 + 2.88344i 1.08819 + 0.699337i 0.956435 0.291945i \(-0.0943025\pi\)
0.131755 + 0.991282i \(0.457939\pi\)
\(18\) 0.339506 1.37286i 0.0800223 0.323585i
\(19\) −0.803720 1.25061i −0.184386 0.286910i 0.736739 0.676177i \(-0.236365\pi\)
−0.921125 + 0.389267i \(0.872728\pi\)
\(20\) −6.20439 0.350737i −1.38734 0.0784271i
\(21\) −0.863387 2.94043i −0.188407 0.641654i
\(22\) 0.188787 0.465571i 0.0402495 0.0992601i
\(23\) −3.41356 3.36862i −0.711776 0.702407i
\(24\) 2.58823 1.14064i 0.528321 0.232831i
\(25\) 4.46584 1.31129i 0.893167 0.262258i
\(26\) 7.49429 2.55663i 1.46975 0.501397i
\(27\) −0.540641 0.841254i −0.104046 0.161899i
\(28\) 3.59939 4.96091i 0.680220 0.937523i
\(29\) −3.99184 + 6.21143i −0.741266 + 1.15343i 0.241826 + 0.970320i \(0.422254\pi\)
−0.983092 + 0.183113i \(0.941383\pi\)
\(30\) −3.19363 + 3.01819i −0.583074 + 0.551044i
\(31\) −1.04581 + 1.20693i −0.187833 + 0.216771i −0.841854 0.539706i \(-0.818535\pi\)
0.654021 + 0.756477i \(0.273081\pi\)
\(32\) 4.96930 + 2.70298i 0.878456 + 0.477823i
\(33\) −0.147574 0.323142i −0.0256893 0.0562517i
\(34\) 5.90809 + 4.68873i 1.01323 + 0.804111i
\(35\) −2.68267 + 9.13634i −0.453454 + 1.54432i
\(36\) 0.670875 1.88412i 0.111813 0.314021i
\(37\) −5.87018 0.844004i −0.965051 0.138753i −0.358266 0.933619i \(-0.616632\pi\)
−0.606785 + 0.794866i \(0.707541\pi\)
\(38\) −0.955068 1.87292i −0.154933 0.303828i
\(39\) 2.32597 5.09316i 0.372453 0.815558i
\(40\) −8.68148 1.36634i −1.37266 0.216038i
\(41\) 1.40087 + 9.74326i 0.218779 + 1.52164i 0.742555 + 0.669785i \(0.233614\pi\)
−0.523776 + 0.851856i \(0.675477\pi\)
\(42\) −0.801322 4.25922i −0.123647 0.657212i
\(43\) −5.06294 + 4.38706i −0.772091 + 0.669021i −0.949025 0.315202i \(-0.897928\pi\)
0.176933 + 0.984223i \(0.443382\pi\)
\(44\) 0.331154 0.628595i 0.0499233 0.0947642i
\(45\) 3.10715i 0.463186i
\(46\) −4.32968 5.22052i −0.638377 0.769724i
\(47\) −10.7149 −1.56293 −0.781465 0.623949i \(-0.785527\pi\)
−0.781465 + 0.623949i \(0.785527\pi\)
\(48\) 3.80262 1.24101i 0.548860 0.179124i
\(49\) −1.56613 1.80741i −0.223733 0.258202i
\(50\) 6.46879 1.21703i 0.914824 0.172113i
\(51\) 5.27909 0.759018i 0.739220 0.106284i
\(52\) 10.9056 2.54346i 1.51234 0.352714i
\(53\) −6.17903 2.82187i −0.848755 0.387614i −0.0569426 0.998377i \(-0.518135\pi\)
−0.791813 + 0.610764i \(0.790862\pi\)
\(54\) −0.642449 1.25986i −0.0874262 0.171446i
\(55\) −0.157087 + 1.09256i −0.0211816 + 0.147321i
\(56\) 5.76292 6.47465i 0.770103 0.865212i
\(57\) −1.42639 0.418825i −0.188930 0.0554748i
\(58\) −6.49109 + 8.17918i −0.852322 + 1.07398i
\(59\) 12.5593 5.73563i 1.63508 0.746716i 0.635404 0.772180i \(-0.280834\pi\)
0.999676 + 0.0254642i \(0.00810638\pi\)
\(60\) −4.91865 + 3.79794i −0.634995 + 0.490312i
\(61\) −5.74764 4.98036i −0.735910 0.637670i 0.204047 0.978961i \(-0.434590\pi\)
−0.939958 + 0.341291i \(0.889136\pi\)
\(62\) −1.64145 + 1.55127i −0.208464 + 0.197012i
\(63\) −2.57807 1.65683i −0.324807 0.208741i
\(64\) 6.61256 + 4.50267i 0.826570 + 0.562834i
\(65\) −14.6356 + 9.40572i −1.81532 + 1.16664i
\(66\) −0.162209 0.475484i −0.0199665 0.0585281i
\(67\) 0.617146 + 2.10180i 0.0753963 + 0.256776i 0.988563 0.150811i \(-0.0481884\pi\)
−0.913166 + 0.407587i \(0.866370\pi\)
\(68\) 7.65429 + 7.42909i 0.928219 + 0.900909i
\(69\) −4.78577 0.310432i −0.576139 0.0373717i
\(70\) −5.06028 + 12.4793i −0.604820 + 1.49156i
\(71\) 8.31064 2.44022i 0.986291 0.289601i 0.251472 0.967865i \(-0.419085\pi\)
0.734819 + 0.678263i \(0.237267\pi\)
\(72\) 1.20910 2.55697i 0.142494 0.301341i
\(73\) −6.36471 + 4.09035i −0.744933 + 0.478739i −0.857229 0.514936i \(-0.827816\pi\)
0.112296 + 0.993675i \(0.464179\pi\)
\(74\) −8.14178 2.01345i −0.946463 0.234059i
\(75\) 2.51634 3.91551i 0.290562 0.452124i
\(76\) −1.08050 2.76993i −0.123942 0.317733i
\(77\) −0.822761 0.712926i −0.0937623 0.0812455i
\(78\) 3.98956 6.83989i 0.451729 0.774465i
\(79\) 5.12023 + 11.2117i 0.576071 + 1.26142i 0.943501 + 0.331369i \(0.107510\pi\)
−0.367430 + 0.930051i \(0.619762\pi\)
\(80\) −12.0244 3.14396i −1.34437 0.351505i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 0.600698 + 13.9078i 0.0663360 + 1.53586i
\(83\) 0.513390 + 0.0738143i 0.0563518 + 0.00810217i 0.170433 0.985369i \(-0.445483\pi\)
−0.114081 + 0.993471i \(0.536392\pi\)
\(84\) −0.528467 6.10630i −0.0576604 0.666252i
\(85\) −15.0740 6.88409i −1.63501 0.746684i
\(86\) −7.74171 + 5.46126i −0.834810 + 0.588903i
\(87\) 1.05079 + 7.30838i 0.112656 + 0.783541i
\(88\) 0.554425 0.837974i 0.0591019 0.0893284i
\(89\) −5.20322 6.00484i −0.551540 0.636512i 0.409701 0.912220i \(-0.365633\pi\)
−0.961241 + 0.275708i \(0.911088\pi\)
\(90\) −0.437089 + 4.37238i −0.0460732 + 0.460889i
\(91\) 17.1589i 1.79874i
\(92\) −5.35835 7.95538i −0.558647 0.829406i
\(93\) 1.59700i 0.165601i
\(94\) −15.0780 1.50729i −1.55518 0.155465i
\(95\) 3.02487 + 3.49089i 0.310345 + 0.358158i
\(96\) 5.52562 1.21143i 0.563956 0.123641i
\(97\) 0.491261 + 3.41679i 0.0498800 + 0.346923i 0.999444 + 0.0333489i \(0.0106173\pi\)
−0.949564 + 0.313574i \(0.898474\pi\)
\(98\) −1.94961 2.76370i −0.196940 0.279176i
\(99\) −0.323142 0.147574i −0.0324770 0.0148317i
\(100\) 9.27408 0.802620i 0.927408 0.0802620i
\(101\) 12.1340 + 1.74460i 1.20737 + 0.173594i 0.716469 0.697619i \(-0.245757\pi\)
0.490906 + 0.871213i \(0.336666\pi\)
\(102\) 7.53551 0.325470i 0.746126 0.0322263i
\(103\) 16.6160 + 4.87888i 1.63722 + 0.480731i 0.965571 0.260140i \(-0.0837688\pi\)
0.671647 + 0.740871i \(0.265587\pi\)
\(104\) 15.7042 2.04504i 1.53992 0.200533i
\(105\) 3.95560 + 8.66156i 0.386027 + 0.845282i
\(106\) −8.29818 4.84015i −0.805990 0.470117i
\(107\) −0.646527 0.560219i −0.0625022 0.0541584i 0.623050 0.782182i \(-0.285893\pi\)
−0.685552 + 0.728024i \(0.740439\pi\)
\(108\) −0.726826 1.86326i −0.0699389 0.179292i
\(109\) 3.93881 6.12890i 0.377269 0.587042i −0.599752 0.800186i \(-0.704734\pi\)
0.977021 + 0.213144i \(0.0683703\pi\)
\(110\) −0.374745 + 1.51536i −0.0357306 + 0.144483i
\(111\) −4.98909 + 3.20629i −0.473543 + 0.304328i
\(112\) 9.02038 8.30045i 0.852346 0.784319i
\(113\) −3.37247 + 0.990248i −0.317256 + 0.0931547i −0.436484 0.899712i \(-0.643776\pi\)
0.119228 + 0.992867i \(0.461958\pi\)
\(114\) −1.94830 0.790024i −0.182475 0.0739925i
\(115\) 11.9881 + 8.85083i 1.11789 + 0.825344i
\(116\) −10.2848 + 10.5966i −0.954924 + 0.983871i
\(117\) −1.57746 5.37233i −0.145836 0.496673i
\(118\) 18.4803 6.30444i 1.70125 0.580371i
\(119\) 13.7498 8.83649i 1.26045 0.810039i
\(120\) −7.45579 + 4.65255i −0.680617 + 0.424718i
\(121\) 9.14762 + 5.87882i 0.831602 + 0.534438i
\(122\) −7.38749 7.81690i −0.668832 0.707709i
\(123\) 7.43918 + 6.44609i 0.670769 + 0.581224i
\(124\) −2.52806 + 1.95205i −0.227027 + 0.175299i
\(125\) 0.976872 0.446122i 0.0873741 0.0399024i
\(126\) −3.39480 2.69415i −0.302433 0.240014i
\(127\) −13.5256 3.97148i −1.20021 0.352412i −0.380274 0.924874i \(-0.624170\pi\)
−0.819932 + 0.572462i \(0.805989\pi\)
\(128\) 8.67180 + 7.26636i 0.766486 + 0.642261i
\(129\) −0.953400 + 6.63104i −0.0839422 + 0.583831i
\(130\) −21.9183 + 11.1769i −1.92236 + 0.980280i
\(131\) −1.06051 0.484319i −0.0926573 0.0423152i 0.368547 0.929609i \(-0.379855\pi\)
−0.461205 + 0.887294i \(0.652583\pi\)
\(132\) −0.161373 0.691920i −0.0140457 0.0602239i
\(133\) −4.50943 + 0.648358i −0.391017 + 0.0562198i
\(134\) 0.572782 + 3.04447i 0.0494808 + 0.263003i
\(135\) 2.03475 + 2.34823i 0.175123 + 0.202103i
\(136\) 9.72605 + 11.5310i 0.834002 + 0.988771i
\(137\) −14.8502 −1.26873 −0.634367 0.773032i \(-0.718739\pi\)
−0.634367 + 0.773032i \(0.718739\pi\)
\(138\) −6.69087 1.11007i −0.569565 0.0944950i
\(139\) 2.80708i 0.238093i −0.992889 0.119047i \(-0.962016\pi\)
0.992889 0.119047i \(-0.0379838\pi\)
\(140\) −8.87632 + 16.8490i −0.750186 + 1.42400i
\(141\) −8.09779 + 7.01677i −0.681957 + 0.590919i
\(142\) 12.0380 2.26481i 1.01021 0.190058i
\(143\) −0.283073 1.96882i −0.0236718 0.164641i
\(144\) 2.06114 3.42808i 0.171761 0.285673i
\(145\) 9.53034 20.8685i 0.791452 1.73304i
\(146\) −9.53181 + 4.86060i −0.788859 + 0.402266i
\(147\) −2.36721 0.340353i −0.195244 0.0280718i
\(148\) −11.1739 3.97865i −0.918487 0.327043i
\(149\) −6.07853 + 20.7016i −0.497973 + 1.69594i 0.199983 + 0.979799i \(0.435911\pi\)
−0.697956 + 0.716141i \(0.745907\pi\)
\(150\) 4.09180 5.15592i 0.334094 0.420979i
\(151\) −4.52984 9.91897i −0.368633 0.807194i −0.999510 0.0313108i \(-0.990032\pi\)
0.630877 0.775883i \(-0.282695\pi\)
\(152\) −1.13083 4.04984i −0.0917227 0.328485i
\(153\) 3.49262 4.03070i 0.282361 0.325862i
\(154\) −1.05750 1.11897i −0.0852158 0.0901691i
\(155\) 2.68272 4.17439i 0.215481 0.335295i
\(156\) 6.57630 9.06387i 0.526525 0.725690i
\(157\) 4.05379 + 6.30782i 0.323528 + 0.503419i 0.964478 0.264164i \(-0.0850959\pi\)
−0.640950 + 0.767582i \(0.721459\pi\)
\(158\) 5.62801 + 16.4974i 0.447740 + 1.31247i
\(159\) −6.51773 + 1.91378i −0.516890 + 0.151773i
\(160\) −16.4784 6.11567i −1.30273 0.483486i
\(161\) −13.7361 + 5.22724i −1.08256 + 0.411964i
\(162\) −1.31057 0.531428i −0.102968 0.0417529i
\(163\) −3.01236 10.2591i −0.235946 0.803558i −0.989294 0.145936i \(-0.953381\pi\)
0.753348 0.657622i \(-0.228438\pi\)
\(164\) −1.11113 + 19.6555i −0.0867650 + 1.53484i
\(165\) 0.596758 + 0.928573i 0.0464575 + 0.0722893i
\(166\) 0.712058 + 0.176091i 0.0552664 + 0.0136673i
\(167\) −1.41033 0.906366i −0.109135 0.0701367i 0.484935 0.874550i \(-0.338843\pi\)
−0.594070 + 0.804414i \(0.702480\pi\)
\(168\) 0.115328 8.66713i 0.00889776 0.668683i
\(169\) 12.0169 13.8683i 0.924379 1.06679i
\(170\) −20.2438 11.8078i −1.55263 0.905616i
\(171\) −1.35226 + 0.617559i −0.103410 + 0.0472259i
\(172\) −11.6624 + 6.59604i −0.889248 + 0.502943i
\(173\) −1.83024 + 6.23321i −0.139150 + 0.473902i −0.999350 0.0360554i \(-0.988521\pi\)
0.860200 + 0.509958i \(0.170339\pi\)
\(174\) 0.450581 + 10.4322i 0.0341585 + 0.790861i
\(175\) 2.02992 14.1184i 0.153448 1.06725i
\(176\) 0.898067 1.10121i 0.0676943 0.0830065i
\(177\) 5.73563 12.5593i 0.431117 0.944014i
\(178\) −6.47726 9.18196i −0.485491 0.688217i
\(179\) −2.98218 + 0.428773i −0.222899 + 0.0320480i −0.252859 0.967503i \(-0.581371\pi\)
0.0299605 + 0.999551i \(0.490462\pi\)
\(180\) −1.23014 + 6.09132i −0.0916895 + 0.454021i
\(181\) 0.482033 0.417684i 0.0358292 0.0310462i −0.636762 0.771060i \(-0.719727\pi\)
0.672591 + 0.740014i \(0.265181\pi\)
\(182\) 2.41378 24.1460i 0.178921 1.78982i
\(183\) −7.60522 −0.562194
\(184\) −6.42117 11.9486i −0.473375 0.880861i
\(185\) 18.4271 1.35479
\(186\) −0.224653 + 2.24729i −0.0164724 + 0.164780i
\(187\) 1.43188 1.24073i 0.104710 0.0907314i
\(188\) −21.0057 4.24211i −1.53200 0.309388i
\(189\) −3.03337 + 0.436133i −0.220645 + 0.0317240i
\(190\) 3.76553 + 5.33789i 0.273180 + 0.387251i
\(191\) −7.48439 + 16.3885i −0.541552 + 1.18583i 0.419065 + 0.907956i \(0.362358\pi\)
−0.960617 + 0.277877i \(0.910369\pi\)
\(192\) 7.94606 0.927418i 0.573458 0.0669306i
\(193\) −1.75678 + 12.2187i −0.126456 + 0.879522i 0.823540 + 0.567259i \(0.191996\pi\)
−0.949996 + 0.312263i \(0.898913\pi\)
\(194\) 0.210654 + 4.87722i 0.0151241 + 0.350164i
\(195\) −4.90140 + 16.6926i −0.350997 + 1.19538i
\(196\) −2.35471 4.16333i −0.168194 0.297381i
\(197\) −12.6602 + 5.78172i −0.902001 + 0.411930i −0.811761 0.583990i \(-0.801491\pi\)
−0.0902404 + 0.995920i \(0.528764\pi\)
\(198\) −0.433965 0.253123i −0.0308406 0.0179887i
\(199\) −3.22156 + 3.71787i −0.228370 + 0.263553i −0.858357 0.513052i \(-0.828515\pi\)
0.629987 + 0.776605i \(0.283060\pi\)
\(200\) 13.1634 + 0.175157i 0.930792 + 0.0123855i
\(201\) 1.84280 + 1.18429i 0.129981 + 0.0835336i
\(202\) 16.8295 + 4.16191i 1.18412 + 0.292831i
\(203\) 12.2332 + 19.0353i 0.858606 + 1.33602i
\(204\) 10.6497 + 0.602034i 0.745631 + 0.0421508i
\(205\) −8.61681 29.3462i −0.601824 2.04962i
\(206\) 22.6956 + 9.20297i 1.58128 + 0.641201i
\(207\) −3.82014 + 2.89941i −0.265518 + 0.201523i
\(208\) 22.3866 0.668642i 1.55223 0.0463620i
\(209\) −0.506716 + 0.148785i −0.0350503 + 0.0102917i
\(210\) 4.34788 + 12.7450i 0.300033 + 0.879488i
\(211\) −8.61709 13.4085i −0.593225 0.923076i −0.999955 0.00952765i \(-0.996967\pi\)
0.406730 0.913549i \(-0.366669\pi\)
\(212\) −10.9963 7.97838i −0.755230 0.547958i
\(213\) 4.68275 7.28651i 0.320857 0.499263i
\(214\) −0.830986 0.879289i −0.0568050 0.0601069i
\(215\) 13.6313 15.7313i 0.929644 1.07287i
\(216\) −0.760681 2.72422i −0.0517578 0.185360i
\(217\) 2.03308 + 4.45183i 0.138015 + 0.302210i
\(218\) 6.40485 8.07051i 0.433791 0.546604i
\(219\) −2.13152 + 7.25928i −0.144035 + 0.490537i
\(220\) −0.740510 + 2.07969i −0.0499252 + 0.140213i
\(221\) 29.5584 + 4.24985i 1.98831 + 0.285876i
\(222\) −7.47168 + 3.81007i −0.501466 + 0.255715i
\(223\) 10.3947 22.7612i 0.696079 1.52420i −0.148584 0.988900i \(-0.547471\pi\)
0.844662 0.535300i \(-0.179801\pi\)
\(224\) 13.8611 10.4115i 0.926135 0.695646i
\(225\) −0.662386 4.60700i −0.0441591 0.307133i
\(226\) −4.88504 + 0.919063i −0.324948 + 0.0611352i
\(227\) 7.52156 6.51747i 0.499223 0.432579i −0.368499 0.929628i \(-0.620128\pi\)
0.867723 + 0.497049i \(0.165583\pi\)
\(228\) −2.63051 1.38579i −0.174210 0.0917764i
\(229\) 6.09672i 0.402883i 0.979501 + 0.201441i \(0.0645625\pi\)
−0.979501 + 0.201441i \(0.935437\pi\)
\(230\) 15.6245 + 14.1413i 1.03025 + 0.932448i
\(231\) −1.08867 −0.0716291
\(232\) −15.9635 + 13.4648i −1.04805 + 0.884005i
\(233\) −17.5906 20.3006i −1.15240 1.32994i −0.935328 0.353783i \(-0.884895\pi\)
−0.217071 0.976156i \(-0.569650\pi\)
\(234\) −1.46406 7.78185i −0.0957088 0.508716i
\(235\) 32.9539 4.73806i 2.14968 0.309077i
\(236\) 26.8923 6.27195i 1.75054 0.408269i
\(237\) 11.2117 + 5.12023i 0.728281 + 0.332595i
\(238\) 20.5918 10.5005i 1.33477 0.680645i
\(239\) 2.17825 15.1500i 0.140899 0.979975i −0.789585 0.613642i \(-0.789704\pi\)
0.930484 0.366333i \(-0.119387\pi\)
\(240\) −11.1463 + 5.49824i −0.719488 + 0.354910i
\(241\) −2.10726 0.618747i −0.135741 0.0398570i 0.213157 0.977018i \(-0.431626\pi\)
−0.348897 + 0.937161i \(0.613444\pi\)
\(242\) 12.0455 + 9.55949i 0.774317 + 0.614507i
\(243\) −0.909632 + 0.415415i −0.0583529 + 0.0266489i
\(244\) −9.29605 12.0392i −0.595119 0.770728i
\(245\) 5.61590 + 4.86620i 0.358786 + 0.310890i
\(246\) 9.56163 + 10.1174i 0.609627 + 0.645063i
\(247\) −7.00236 4.50014i −0.445549 0.286337i
\(248\) −3.83209 + 2.39129i −0.243338 + 0.151847i
\(249\) 0.436332 0.280414i 0.0276514 0.0177705i
\(250\) 1.43741 0.490365i 0.0909099 0.0310134i
\(251\) 0.400751 + 1.36483i 0.0252952 + 0.0861474i 0.971173 0.238375i \(-0.0766147\pi\)
−0.945878 + 0.324522i \(0.894796\pi\)
\(252\) −4.39817 4.26876i −0.277058 0.268907i
\(253\) −1.48985 + 0.826381i −0.0936662 + 0.0519541i
\(254\) −18.4746 7.49135i −1.15920 0.470049i
\(255\) −15.9003 + 4.66876i −0.995717 + 0.292369i
\(256\) 11.1808 + 11.4451i 0.698799 + 0.715319i
\(257\) −6.23903 + 4.00958i −0.389180 + 0.250111i −0.720569 0.693383i \(-0.756119\pi\)
0.331389 + 0.943494i \(0.392483\pi\)
\(258\) −2.27443 + 9.19708i −0.141600 + 0.572585i
\(259\) −9.82589 + 15.2894i −0.610551 + 0.950036i
\(260\) −32.4157 + 12.6448i −2.01034 + 0.784200i
\(261\) 5.58010 + 4.83519i 0.345400 + 0.299291i
\(262\) −1.42422 0.830719i −0.0879887 0.0513220i
\(263\) −8.63536 18.9088i −0.532479 1.16597i −0.964495 0.264101i \(-0.914925\pi\)
0.432016 0.901866i \(-0.357803\pi\)
\(264\) −0.129750 0.996370i −0.00798557 0.0613223i
\(265\) 20.2516 + 5.94640i 1.24404 + 0.365284i
\(266\) −6.43687 + 0.278018i −0.394670 + 0.0170464i
\(267\) −7.86467 1.13077i −0.481310 0.0692019i
\(268\) 0.377746 + 4.36476i 0.0230745 + 0.266620i
\(269\) −16.9916 7.75981i −1.03600 0.473124i −0.176519 0.984297i \(-0.556484\pi\)
−0.859478 + 0.511173i \(0.829211\pi\)
\(270\) 2.53297 + 3.59066i 0.154152 + 0.218520i
\(271\) 3.37629 + 23.4826i 0.205095 + 1.42647i 0.788875 + 0.614554i \(0.210664\pi\)
−0.583780 + 0.811912i \(0.698427\pi\)
\(272\) 12.0644 + 17.5945i 0.731513 + 1.06683i
\(273\) −11.2367 12.9678i −0.680076 0.784850i
\(274\) −20.8971 2.08900i −1.26244 0.126201i
\(275\) 1.65344i 0.0997061i
\(276\) −9.25924 2.50330i −0.557341 0.150681i
\(277\) 5.29792i 0.318321i 0.987253 + 0.159161i \(0.0508788\pi\)
−0.987253 + 0.159161i \(0.949121\pi\)
\(278\) 0.394878 3.95012i 0.0236832 0.236912i
\(279\) 1.04581 + 1.20693i 0.0626110 + 0.0722570i
\(280\) −14.8609 + 22.4613i −0.888111 + 1.34232i
\(281\) −2.13354 14.8391i −0.127276 0.885225i −0.948986 0.315319i \(-0.897889\pi\)
0.821710 0.569906i \(-0.193021\pi\)
\(282\) −12.3823 + 8.73487i −0.737353 + 0.520154i
\(283\) 15.9663 + 7.29156i 0.949098 + 0.433438i 0.828953 0.559318i \(-0.188937\pi\)
0.120145 + 0.992756i \(0.461664\pi\)
\(284\) 17.2585 1.49363i 1.02410 0.0886303i
\(285\) 4.57209 + 0.657367i 0.270827 + 0.0389391i
\(286\) −0.121383 2.81034i −0.00717752 0.166179i
\(287\) 28.9439 + 8.49871i 1.70851 + 0.501663i
\(288\) 3.38267 4.53404i 0.199326 0.267171i
\(289\) 4.75438 + 10.4106i 0.279669 + 0.612391i
\(290\) 16.3467 28.0256i 0.959912 1.64572i
\(291\) 2.60879 + 2.26053i 0.152930 + 0.132515i
\(292\) −14.0969 + 5.49898i −0.824960 + 0.321803i
\(293\) 16.5243 25.7123i 0.965359 1.50213i 0.103721 0.994606i \(-0.466925\pi\)
0.861639 0.507522i \(-0.169438\pi\)
\(294\) −3.28325 0.811944i −0.191483 0.0473536i
\(295\) −36.0901 + 23.1937i −2.10125 + 1.35039i
\(296\) −15.1642 7.17061i −0.881401 0.416783i
\(297\) −0.340854 + 0.100084i −0.0197784 + 0.00580746i
\(298\) −11.4658 + 28.2762i −0.664199 + 1.63800i
\(299\) −25.2211 9.21711i −1.45857 0.533039i
\(300\) 6.48327 6.67981i 0.374312 0.385659i
\(301\) 5.78403 + 19.6986i 0.333386 + 1.13541i
\(302\) −4.97907 14.5952i −0.286513 0.839859i
\(303\) 10.3127 6.62758i 0.592450 0.380744i
\(304\) −1.02161 5.85801i −0.0585933 0.335980i
\(305\) 19.8793 + 12.7756i 1.13828 + 0.731531i
\(306\) 5.48182 5.18068i 0.313375 0.296160i
\(307\) 12.2385 + 10.6047i 0.698488 + 0.605243i 0.929987 0.367592i \(-0.119818\pi\)
−0.231499 + 0.972835i \(0.574363\pi\)
\(308\) −1.33071 1.72337i −0.0758240 0.0981984i
\(309\) 15.7525 7.19392i 0.896128 0.409248i
\(310\) 4.36234 5.49682i 0.247764 0.312198i
\(311\) 20.6433 + 6.06142i 1.17057 + 0.343712i 0.808533 0.588451i \(-0.200262\pi\)
0.362041 + 0.932162i \(0.382080\pi\)
\(312\) 10.5292 11.8296i 0.596098 0.669718i
\(313\) 4.39234 30.5494i 0.248270 1.72675i −0.359939 0.932976i \(-0.617202\pi\)
0.608209 0.793777i \(-0.291888\pi\)
\(314\) 4.81716 + 9.44662i 0.271848 + 0.533104i
\(315\) 8.66156 + 3.95560i 0.488024 + 0.222873i
\(316\) 5.59900 + 24.0069i 0.314969 + 1.35049i
\(317\) −1.99909 + 0.287425i −0.112280 + 0.0161434i −0.198226 0.980156i \(-0.563518\pi\)
0.0859458 + 0.996300i \(0.472609\pi\)
\(318\) −9.44097 + 1.77621i −0.529423 + 0.0996047i
\(319\) 1.71767 + 1.98230i 0.0961712 + 0.110988i
\(320\) −22.3281 10.9240i −1.24818 0.610672i
\(321\) −0.855478 −0.0477481
\(322\) −20.0648 + 5.42347i −1.11817 + 0.302238i
\(323\) 7.92863i 0.441161i
\(324\) −1.76947 0.932185i −0.0983040 0.0517881i
\(325\) 19.6952 17.0660i 1.09249 0.946650i
\(326\) −2.79581 14.8604i −0.154846 0.823043i
\(327\) −1.03683 7.21129i −0.0573366 0.398785i
\(328\) −4.32857 + 27.5029i −0.239005 + 1.51860i
\(329\) −13.6408 + 29.8691i −0.752041 + 1.64674i
\(330\) 0.709133 + 1.39064i 0.0390365 + 0.0765519i
\(331\) 0.482597 + 0.0693870i 0.0265259 + 0.00381385i 0.155565 0.987826i \(-0.450280\pi\)
−0.129039 + 0.991640i \(0.541189\pi\)
\(332\) 0.977237 + 0.347962i 0.0536329 + 0.0190969i
\(333\) −1.67083 + 5.69031i −0.0915607 + 0.311827i
\(334\) −1.85712 1.47383i −0.101617 0.0806446i
\(335\) −2.82745 6.19125i −0.154480 0.338264i
\(336\) 1.38151 12.1802i 0.0753677 0.664482i
\(337\) 3.19380 3.68584i 0.173977 0.200781i −0.662063 0.749448i \(-0.730319\pi\)
0.836041 + 0.548667i \(0.184865\pi\)
\(338\) 18.8611 17.8250i 1.02591 0.969552i
\(339\) −1.90027 + 2.95688i −0.103209 + 0.160596i
\(340\) −26.8260 19.4636i −1.45485 1.05556i
\(341\) 0.306719 + 0.477263i 0.0166097 + 0.0258453i
\(342\) −1.98978 + 0.678802i −0.107595 + 0.0367054i
\(343\) 13.5508 3.97888i 0.731675 0.214839i
\(344\) −17.3392 + 7.64138i −0.934865 + 0.411995i
\(345\) 14.8560 1.16150i 0.799821 0.0625328i
\(346\) −3.45235 + 8.51391i −0.185599 + 0.457711i
\(347\) −0.167126 0.569178i −0.00897178 0.0305551i 0.954885 0.296974i \(-0.0959776\pi\)
−0.963857 + 0.266419i \(0.914159\pi\)
\(348\) −0.833458 + 14.7435i −0.0446780 + 0.790336i
\(349\) 3.72746 + 5.80004i 0.199526 + 0.310469i 0.926570 0.376122i \(-0.122743\pi\)
−0.727044 + 0.686591i \(0.759106\pi\)
\(350\) 4.84258 19.5819i 0.258847 1.04670i
\(351\) −4.71030 3.02712i −0.251417 0.161576i
\(352\) 1.41867 1.42328i 0.0756153 0.0758612i
\(353\) 10.4260 12.0322i 0.554919 0.640411i −0.407103 0.913382i \(-0.633461\pi\)
0.962022 + 0.272972i \(0.0880065\pi\)
\(354\) 9.83792 16.8666i 0.522880 0.896449i
\(355\) −24.4805 + 11.1799i −1.29929 + 0.593366i
\(356\) −7.82315 13.8320i −0.414626 0.733095i
\(357\) 4.60477 15.6824i 0.243710 0.830001i
\(358\) −4.25684 + 0.183859i −0.224981 + 0.00971727i
\(359\) −0.0850789 + 0.591737i −0.00449029 + 0.0312307i −0.991943 0.126682i \(-0.959567\pi\)
0.987453 + 0.157912i \(0.0504764\pi\)
\(360\) −2.58794 + 8.39866i −0.136396 + 0.442648i
\(361\) 6.97482 15.2727i 0.367096 0.803828i
\(362\) 0.737073 0.519956i 0.0387397 0.0273283i
\(363\) 10.7631 1.54750i 0.564917 0.0812229i
\(364\) 6.79334 33.6387i 0.356068 1.76315i
\(365\) 17.7661 15.3944i 0.929919 0.805779i
\(366\) −10.7021 1.06984i −0.559406 0.0559216i
\(367\) 25.0676 1.30852 0.654260 0.756270i \(-0.272980\pi\)
0.654260 + 0.756270i \(0.272980\pi\)
\(368\) −7.35504 17.7173i −0.383408 0.923579i
\(369\) 9.84345 0.512430
\(370\) 25.9306 + 2.59218i 1.34807 + 0.134761i
\(371\) −15.7326 + 13.6324i −0.816797 + 0.707759i
\(372\) −0.632263 + 3.13079i −0.0327813 + 0.162324i
\(373\) 1.63207 0.234656i 0.0845053 0.0121500i −0.0999325 0.994994i \(-0.531863\pi\)
0.184438 + 0.982844i \(0.440954\pi\)
\(374\) 2.18948 1.54453i 0.113215 0.0798659i
\(375\) 0.446122 0.976872i 0.0230377 0.0504454i
\(376\) −28.9625 8.92442i −1.49363 0.460242i
\(377\) −5.88350 + 40.9206i −0.303016 + 2.10752i
\(378\) −4.32991 + 0.187015i −0.222707 + 0.00961903i
\(379\) 6.00074 20.4367i 0.308237 1.04976i −0.649080 0.760720i \(-0.724846\pi\)
0.957317 0.289040i \(-0.0933360\pi\)
\(380\) 4.54796 + 8.04118i 0.233305 + 0.412504i
\(381\) −12.8228 + 5.85596i −0.656930 + 0.300010i
\(382\) −12.8374 + 22.0091i −0.656821 + 1.12608i
\(383\) 13.8810 16.0196i 0.709287 0.818561i −0.280688 0.959799i \(-0.590563\pi\)
0.989976 + 0.141238i \(0.0451082\pi\)
\(384\) 11.3122 0.187273i 0.577271 0.00955673i
\(385\) 2.84567 + 1.82880i 0.145029 + 0.0932044i
\(386\) −4.19098 + 16.9470i −0.213315 + 0.862581i
\(387\) 3.62188 + 5.63575i 0.184110 + 0.286481i
\(388\) −0.389656 + 6.89285i −0.0197818 + 0.349932i
\(389\) 10.1708 + 34.6386i 0.515680 + 1.75625i 0.644528 + 0.764581i \(0.277054\pi\)
−0.128848 + 0.991664i \(0.541128\pi\)
\(390\) −9.24544 + 22.8004i −0.468161 + 1.15454i
\(391\) −5.60245 24.9569i −0.283328 1.26212i
\(392\) −2.72788 6.18989i −0.137779 0.312636i
\(393\) −1.11864 + 0.328463i −0.0564281 + 0.0165688i
\(394\) −18.6287 + 6.35509i −0.938503 + 0.320165i
\(395\) −20.7051 32.2178i −1.04179 1.62105i
\(396\) −0.575069 0.417241i −0.0288983 0.0209672i
\(397\) −18.0003 + 28.0090i −0.903410 + 1.40573i 0.0105567 + 0.999944i \(0.496640\pi\)
−0.913967 + 0.405789i \(0.866997\pi\)
\(398\) −5.05637 + 4.77861i −0.253453 + 0.239530i
\(399\) −2.98341 + 3.44304i −0.149358 + 0.172368i
\(400\) 18.4989 + 2.09820i 0.924944 + 0.104910i
\(401\) −7.21555 15.7999i −0.360327 0.789007i −0.999796 0.0201899i \(-0.993573\pi\)
0.639469 0.768817i \(-0.279154\pi\)
\(402\) 2.42659 + 1.92577i 0.121027 + 0.0960486i
\(403\) −2.51920 + 8.57960i −0.125490 + 0.427380i
\(404\) 23.0970 + 8.22409i 1.14912 + 0.409164i
\(405\) 3.07552 + 0.442193i 0.152824 + 0.0219728i
\(406\) 14.5369 + 28.5074i 0.721454 + 1.41480i
\(407\) −0.875193 + 1.91640i −0.0433817 + 0.0949927i
\(408\) 14.9016 + 2.34531i 0.737741 + 0.116110i
\(409\) −0.894071 6.21840i −0.0442090 0.307480i −0.999914 0.0131524i \(-0.995813\pi\)
0.955705 0.294328i \(-0.0950957\pi\)
\(410\) −7.99739 42.5080i −0.394963 2.09932i
\(411\) −11.2230 + 9.72479i −0.553590 + 0.479688i
\(412\) 30.6427 + 16.1431i 1.50966 + 0.795311i
\(413\) 42.3124i 2.08206i
\(414\) −5.78356 + 3.54266i −0.284247 + 0.174112i
\(415\) −1.61158 −0.0791094
\(416\) 31.5964 + 2.20825i 1.54914 + 0.108269i
\(417\) −1.83824 2.12145i −0.0900192 0.103888i
\(418\) −0.733981 + 0.138090i −0.0359002 + 0.00675420i
\(419\) −11.4266 + 1.64289i −0.558224 + 0.0802604i −0.415651 0.909524i \(-0.636446\pi\)
−0.142572 + 0.989784i \(0.545537\pi\)
\(420\) 4.32548 + 18.5464i 0.211062 + 0.904971i
\(421\) 5.13294 + 2.34414i 0.250164 + 0.114246i 0.536551 0.843868i \(-0.319727\pi\)
−0.286387 + 0.958114i \(0.592454\pi\)
\(422\) −10.2398 20.0806i −0.498464 0.977507i
\(423\) −1.52489 + 10.6058i −0.0741427 + 0.515674i
\(424\) −14.3517 12.7741i −0.696979 0.620363i
\(425\) 23.8180 + 6.99359i 1.15534 + 0.339239i
\(426\) 7.61458 9.59484i 0.368928 0.464872i
\(427\) −21.2005 + 9.68195i −1.02596 + 0.468542i
\(428\) −1.04567 1.35423i −0.0505445 0.0654592i
\(429\) −1.50323 1.30256i −0.0725768 0.0628881i
\(430\) 21.3949 20.2196i 1.03175 0.975073i
\(431\) −7.81831 5.02452i −0.376595 0.242023i 0.338627 0.940921i \(-0.390038\pi\)
−0.715221 + 0.698898i \(0.753674\pi\)
\(432\) −0.687209 3.94053i −0.0330633 0.189589i
\(433\) −10.8950 + 7.00180i −0.523581 + 0.336485i −0.775587 0.631240i \(-0.782546\pi\)
0.252006 + 0.967726i \(0.418910\pi\)
\(434\) 2.23470 + 6.55061i 0.107269 + 0.314439i
\(435\) −6.46343 22.0124i −0.309898 1.05542i
\(436\) 10.1482 10.4558i 0.486011 0.500744i
\(437\) −1.46930 + 6.97647i −0.0702862 + 0.333730i
\(438\) −4.02065 + 9.91541i −0.192114 + 0.473777i
\(439\) −15.9041 + 4.66985i −0.759059 + 0.222880i −0.638285 0.769800i \(-0.720356\pi\)
−0.120774 + 0.992680i \(0.538538\pi\)
\(440\) −1.33460 + 2.82237i −0.0636246 + 0.134551i
\(441\) −2.01190 + 1.29297i −0.0958047 + 0.0615699i
\(442\) 40.9967 + 10.1384i 1.95001 + 0.482236i
\(443\) 14.1582 22.0306i 0.672678 1.04671i −0.322302 0.946637i \(-0.604457\pi\)
0.994980 0.100071i \(-0.0319069\pi\)
\(444\) −11.0501 + 4.31047i −0.524415 + 0.204566i
\(445\) 18.6579 + 16.1672i 0.884470 + 0.766398i
\(446\) 17.8292 30.5672i 0.844239 1.44740i
\(447\) 8.96281 + 19.6258i 0.423926 + 0.928269i
\(448\) 20.9700 12.7012i 0.990738 0.600073i
\(449\) −25.0839 7.36529i −1.18378 0.347589i −0.370151 0.928972i \(-0.620694\pi\)
−0.813631 + 0.581382i \(0.802512\pi\)
\(450\) −0.284034 6.57614i −0.0133895 0.310002i
\(451\) 3.46124 + 0.497651i 0.162983 + 0.0234335i
\(452\) −7.00352 + 0.606116i −0.329418 + 0.0285093i
\(453\) −9.91897 4.52984i −0.466034 0.212830i
\(454\) 11.5012 8.11330i 0.539776 0.380776i
\(455\) 7.58756 + 52.7726i 0.355710 + 2.47402i
\(456\) −3.50671 2.32013i −0.164217 0.108650i
\(457\) −13.2253 15.2628i −0.618655 0.713966i 0.356796 0.934182i \(-0.383869\pi\)
−0.975451 + 0.220217i \(0.929324\pi\)
\(458\) −0.857639 + 8.57931i −0.0400748 + 0.400885i
\(459\) 5.33338i 0.248941i
\(460\) 19.9975 + 22.0975i 0.932390 + 1.03030i
\(461\) 5.77874i 0.269143i −0.990904 0.134571i \(-0.957034\pi\)
0.990904 0.134571i \(-0.0429658\pi\)
\(462\) −1.53197 0.153145i −0.0712739 0.00712497i
\(463\) −8.98090 10.3645i −0.417378 0.481680i 0.507658 0.861558i \(-0.330511\pi\)
−0.925036 + 0.379879i \(0.875966\pi\)
\(464\) −24.3579 + 16.7020i −1.13079 + 0.775371i
\(465\) −0.706181 4.91160i −0.0327484 0.227770i
\(466\) −21.8978 31.0416i −1.01439 1.43797i
\(467\) −0.253674 0.115849i −0.0117387 0.00536086i 0.409537 0.912293i \(-0.365690\pi\)
−0.421276 + 0.906933i \(0.638418\pi\)
\(468\) −0.965540 11.1566i −0.0446321 0.515713i
\(469\) 6.64471 + 0.955365i 0.306824 + 0.0441147i
\(470\) 47.0393 2.03170i 2.16976 0.0937152i
\(471\) 7.19440 + 2.11247i 0.331500 + 0.0973373i
\(472\) 38.7251 5.04289i 1.78247 0.232118i
\(473\) 0.988631 + 2.16480i 0.0454573 + 0.0995376i
\(474\) 15.0569 + 8.78237i 0.691586 + 0.403388i
\(475\) −5.22920 4.53112i −0.239932 0.207902i
\(476\) 30.4539 11.8796i 1.39585 0.544500i
\(477\) −3.67252 + 5.71454i −0.168153 + 0.261651i
\(478\) 5.19642 21.0127i 0.237679 0.961100i
\(479\) 1.50173 0.965105i 0.0686159 0.0440968i −0.505883 0.862602i \(-0.668833\pi\)
0.574499 + 0.818505i \(0.305197\pi\)
\(480\) −16.4585 + 6.16916i −0.751223 + 0.281582i
\(481\) −31.8609 + 9.35519i −1.45273 + 0.426560i
\(482\) −2.87829 1.16713i −0.131103 0.0531615i
\(483\) −6.95797 + 12.9457i −0.316599 + 0.589052i
\(484\) 15.6057 + 15.1466i 0.709352 + 0.688481i
\(485\) −3.02177 10.2912i −0.137211 0.467299i
\(486\) −1.33847 + 0.456612i −0.0607143 + 0.0207123i
\(487\) −33.3110 + 21.4077i −1.50947 + 0.970075i −0.515922 + 0.856636i \(0.672551\pi\)
−0.993545 + 0.113440i \(0.963813\pi\)
\(488\) −11.3878 18.2492i −0.515503 0.826102i
\(489\) −8.99490 5.78067i −0.406763 0.261411i
\(490\) 7.21815 + 7.63772i 0.326083 + 0.345037i
\(491\) −14.4736 12.5415i −0.653186 0.565989i 0.263963 0.964533i \(-0.414970\pi\)
−0.917149 + 0.398544i \(0.869516\pi\)
\(492\) 12.0319 + 15.5823i 0.542439 + 0.702504i
\(493\) −35.8205 + 16.3587i −1.61328 + 0.736759i
\(494\) −9.22067 7.31763i −0.414857 0.329236i
\(495\) 1.05909 + 0.310976i 0.0476023 + 0.0139773i
\(496\) −5.72890 + 2.82596i −0.257235 + 0.126889i
\(497\) 3.77756 26.2735i 0.169447 1.17853i
\(498\) 0.653453 0.333218i 0.0292819 0.0149319i
\(499\) 9.56813 + 4.36962i 0.428328 + 0.195611i 0.617901 0.786256i \(-0.287983\pi\)
−0.189573 + 0.981867i \(0.560710\pi\)
\(500\) 2.09171 0.487838i 0.0935439 0.0218168i
\(501\) −1.65940 + 0.238586i −0.0741367 + 0.0106592i
\(502\) 0.371943 + 1.97697i 0.0166006 + 0.0882363i
\(503\) −7.06526 8.15374i −0.315024 0.363557i 0.576050 0.817414i \(-0.304593\pi\)
−0.891075 + 0.453857i \(0.850048\pi\)
\(504\) −5.58860 6.62570i −0.248936 0.295132i
\(505\) −38.0897 −1.69497
\(506\) −2.21277 + 0.953302i −0.0983696 + 0.0423795i
\(507\) 18.3504i 0.814968i
\(508\) −24.9436 13.1407i −1.10669 0.583024i
\(509\) 21.7199 18.8204i 0.962717 0.834199i −0.0234884 0.999724i \(-0.507477\pi\)
0.986206 + 0.165525i \(0.0529318\pi\)
\(510\) −23.0317 + 4.33314i −1.01986 + 0.191875i
\(511\) 3.29967 + 22.9497i 0.145969 + 1.01524i
\(512\) 14.1236 + 17.6784i 0.624180 + 0.781281i
\(513\) −0.617559 + 1.35226i −0.0272659 + 0.0597039i
\(514\) −9.34360 + 4.76463i −0.412129 + 0.210159i
\(515\) −53.2601 7.65765i −2.34692 0.337436i
\(516\) −4.49435 + 12.6222i −0.197853 + 0.555661i
\(517\) −1.07239 + 3.65222i −0.0471636 + 0.160625i
\(518\) −15.9778 + 20.1330i −0.702023 + 0.884592i
\(519\) 2.69868 + 5.90930i 0.118459 + 0.259389i
\(520\) −47.3942 + 13.2338i −2.07837 + 0.580342i
\(521\) −7.42742 + 8.57170i −0.325401 + 0.375533i −0.894753 0.446561i \(-0.852649\pi\)
0.569352 + 0.822094i \(0.307194\pi\)
\(522\) 7.17214 + 7.58904i 0.313916 + 0.332163i
\(523\) −12.0396 + 18.7340i −0.526456 + 0.819182i −0.998036 0.0626413i \(-0.980048\pi\)
0.471580 + 0.881823i \(0.343684\pi\)
\(524\) −1.88731 1.36934i −0.0824473 0.0598197i
\(525\) −7.71149 11.9993i −0.336557 0.523693i
\(526\) −9.49174 27.8232i −0.413860 1.21315i
\(527\) −8.17237 + 2.39962i −0.355994 + 0.104529i
\(528\) −0.0424228 1.42034i −0.00184622 0.0618125i
\(529\) 0.304737 + 22.9980i 0.0132494 + 0.999912i
\(530\) 27.6615 + 11.2166i 1.20154 + 0.487218i
\(531\) −3.88988 13.2477i −0.168806 0.574902i
\(532\) −9.09707 0.514261i −0.394408 0.0222960i
\(533\) 29.7973 + 46.3656i 1.29067 + 2.00832i
\(534\) −10.9081 2.69756i −0.472039 0.116735i
\(535\) 2.23613 + 1.43708i 0.0966765 + 0.0621302i
\(536\) −0.0824360 + 6.19523i −0.00356069 + 0.267593i
\(537\) −1.97299 + 2.27696i −0.0851410 + 0.0982580i
\(538\) −22.8190 13.3098i −0.983797 0.573828i
\(539\) −0.772809 + 0.352930i −0.0332872 + 0.0152018i
\(540\) 3.05929 + 5.40909i 0.131651 + 0.232770i
\(541\) 1.34928 4.59522i 0.0580100 0.197564i −0.925390 0.379017i \(-0.876262\pi\)
0.983400 + 0.181454i \(0.0580802\pi\)
\(542\) 1.44776 + 33.5196i 0.0621868 + 1.43979i
\(543\) 0.0907714 0.631329i 0.00389537 0.0270929i
\(544\) 14.5020 + 26.4562i 0.621767 + 1.13430i
\(545\) −9.40373 + 20.5913i −0.402811 + 0.882034i
\(546\) −13.9881 19.8290i −0.598634 0.848605i
\(547\) −37.6926 + 5.41938i −1.61162 + 0.231716i −0.888456 0.458962i \(-0.848221\pi\)
−0.723163 + 0.690678i \(0.757312\pi\)
\(548\) −29.1126 5.87929i −1.24363 0.251151i
\(549\) −5.74764 + 4.98036i −0.245303 + 0.212557i
\(550\) 0.232593 2.32672i 0.00991779 0.0992116i
\(551\) 10.9764 0.467611
\(552\) −12.6775 4.82516i −0.539588 0.205373i
\(553\) 37.7725 1.60625
\(554\) −0.745270 + 7.45524i −0.0316635 + 0.316743i
\(555\) 13.9263 12.0672i 0.591136 0.512223i
\(556\) 1.11134 5.50306i 0.0471315 0.233382i
\(557\) 14.5908 2.09784i 0.618232 0.0888883i 0.173919 0.984760i \(-0.444357\pi\)
0.444313 + 0.895872i \(0.353448\pi\)
\(558\) 1.30188 + 1.84551i 0.0551131 + 0.0781266i
\(559\) −15.5822 + 34.1202i −0.659056 + 1.44313i
\(560\) −24.0720 + 29.5170i −1.01723 + 1.24732i
\(561\) 0.269637 1.87537i 0.0113841 0.0791780i
\(562\) −0.914869 21.1817i −0.0385914 0.893495i
\(563\) −5.35279 + 18.2299i −0.225593 + 0.768301i 0.766439 + 0.642317i \(0.222027\pi\)
−0.992032 + 0.125983i \(0.959791\pi\)
\(564\) −18.6531 + 10.5499i −0.785436 + 0.444229i
\(565\) 9.93424 4.53681i 0.417936 0.190865i
\(566\) 21.4420 + 12.5067i 0.901277 + 0.525696i
\(567\) −2.00686 + 2.31604i −0.0842803 + 0.0972646i
\(568\) 24.4962 + 0.325956i 1.02784 + 0.0136768i
\(569\) 21.9287 + 14.0927i 0.919301 + 0.590799i 0.912455 0.409178i \(-0.134184\pi\)
0.00684616 + 0.999977i \(0.497821\pi\)
\(570\) 6.34137 + 1.56821i 0.265611 + 0.0656852i
\(571\) −3.81884 5.94223i −0.159814 0.248675i 0.752107 0.659040i \(-0.229037\pi\)
−0.911921 + 0.410366i \(0.865401\pi\)
\(572\) 0.224526 3.97178i 0.00938792 0.166069i
\(573\) 5.07588 + 17.2869i 0.212048 + 0.722169i
\(574\) 39.5344 + 16.0310i 1.65013 + 0.669121i
\(575\) −19.6616 10.5676i −0.819946 0.440698i
\(576\) 5.39790 5.90446i 0.224913 0.246019i
\(577\) −19.7461 + 5.79797i −0.822040 + 0.241373i −0.665594 0.746314i \(-0.731822\pi\)
−0.156446 + 0.987687i \(0.550004\pi\)
\(578\) 5.22588 + 15.3187i 0.217368 + 0.637172i
\(579\) 6.67386 + 10.3847i 0.277356 + 0.431575i
\(580\) 26.9455 37.1380i 1.11885 1.54207i
\(581\) 0.859345 1.33717i 0.0356517 0.0554751i
\(582\) 3.35310 + 3.54801i 0.138991 + 0.147070i
\(583\) −1.58027 + 1.82373i −0.0654480 + 0.0755311i
\(584\) −20.6107 + 5.75512i −0.852878 + 0.238148i
\(585\) 7.22712 + 15.8252i 0.298805 + 0.654291i
\(586\) 26.8700 33.8578i 1.10999 1.39865i
\(587\) 11.6723 39.7522i 0.481767 1.64075i −0.256724 0.966485i \(-0.582643\pi\)
0.738491 0.674263i \(-0.235539\pi\)
\(588\) −4.50598 1.60443i −0.185823 0.0661656i
\(589\) 2.34994 + 0.337870i 0.0968276 + 0.0139217i
\(590\) −54.0487 + 27.5613i −2.22515 + 1.13468i
\(591\) −5.78172 + 12.6602i −0.237828 + 0.520771i
\(592\) −20.3304 12.2237i −0.835572 0.502389i
\(593\) −5.56858 38.7304i −0.228674 1.59047i −0.703703 0.710495i \(-0.748471\pi\)
0.475028 0.879970i \(-0.342438\pi\)
\(594\) −0.493729 + 0.0928893i −0.0202580 + 0.00381130i
\(595\) −38.3805 + 33.2569i −1.57345 + 1.36340i
\(596\) −20.1124 + 38.1773i −0.823836 + 1.56380i
\(597\) 4.91945i 0.201340i
\(598\) −34.1945 16.5182i −1.39832 0.675480i
\(599\) −6.45151 −0.263602 −0.131801 0.991276i \(-0.542076\pi\)
−0.131801 + 0.991276i \(0.542076\pi\)
\(600\) 10.0629 8.48781i 0.410817 0.346513i
\(601\) −1.15481 1.33272i −0.0471056 0.0543628i 0.731708 0.681618i \(-0.238724\pi\)
−0.778813 + 0.627256i \(0.784178\pi\)
\(602\) 5.36824 + 28.5335i 0.218793 + 1.16294i
\(603\) 2.16824 0.311746i 0.0882976 0.0126953i
\(604\) −4.95341 21.2388i −0.201551 0.864193i
\(605\) −30.7333 14.0354i −1.24949 0.570621i
\(606\) 15.4444 7.87561i 0.627384 0.319925i
\(607\) 1.41645 9.85162i 0.0574919 0.399865i −0.940673 0.339314i \(-0.889805\pi\)
0.998165 0.0605509i \(-0.0192858\pi\)
\(608\) −0.613549 8.38710i −0.0248827 0.340142i
\(609\) 21.7107 + 6.37485i 0.879764 + 0.258322i
\(610\) 26.1770 + 20.7743i 1.05987 + 0.841129i
\(611\) −54.5727 + 24.9225i −2.20777 + 1.00826i
\(612\) 8.44279 6.51911i 0.341280 0.263520i
\(613\) 3.03491 + 2.62976i 0.122579 + 0.106215i 0.713993 0.700153i \(-0.246885\pi\)
−0.591414 + 0.806368i \(0.701430\pi\)
\(614\) 15.7302 + 16.6446i 0.634820 + 0.671720i
\(615\) −25.7298 16.5355i −1.03753 0.666777i
\(616\) −1.63014 2.61233i −0.0656802 0.105254i
\(617\) 5.82496 3.74348i 0.234504 0.150707i −0.418112 0.908396i \(-0.637308\pi\)
0.652616 + 0.757689i \(0.273672\pi\)
\(618\) 23.1789 7.90735i 0.932391 0.318080i
\(619\) −3.21216 10.9396i −0.129108 0.439700i 0.869412 0.494087i \(-0.164498\pi\)
−0.998520 + 0.0543873i \(0.982679\pi\)
\(620\) 6.91193 7.12146i 0.277590 0.286005i
\(621\) −0.988359 + 4.69288i −0.0396615 + 0.188319i
\(622\) 28.1966 + 11.4336i 1.13058 + 0.458444i
\(623\) −23.3633 + 6.86008i −0.936030 + 0.274843i
\(624\) 16.4808 15.1654i 0.659759 0.607102i
\(625\) −22.3846 + 14.3857i −0.895386 + 0.575430i
\(626\) 10.4783 42.3712i 0.418799 1.69349i
\(627\) −0.285517 + 0.444273i −0.0114025 + 0.0177426i
\(628\) 5.44983 + 13.9709i 0.217472 + 0.557501i
\(629\) −23.9042 20.7131i −0.953123 0.825886i
\(630\) 11.6321 + 6.78477i 0.463434 + 0.270312i
\(631\) 14.9469 + 32.7291i 0.595026 + 1.30292i 0.932357 + 0.361539i \(0.117748\pi\)
−0.337331 + 0.941386i \(0.609524\pi\)
\(632\) 4.50182 + 34.5701i 0.179073 + 1.37513i
\(633\) −15.2930 4.49044i −0.607844 0.178479i
\(634\) −2.85355 + 0.123249i −0.113329 + 0.00489485i
\(635\) 43.3545 + 6.23344i 1.72047 + 0.247367i
\(636\) −13.5352 + 1.17140i −0.536705 + 0.0464489i
\(637\) −12.1805 5.56266i −0.482610 0.220401i
\(638\) 2.13825 + 3.03112i 0.0846543 + 0.120003i
\(639\) −1.23266 8.57333i −0.0487632 0.339156i
\(640\) −29.8834 18.5132i −1.18125 0.731800i
\(641\) 29.6846 + 34.2578i 1.17247 + 1.35310i 0.923038 + 0.384709i \(0.125698\pi\)
0.249432 + 0.968392i \(0.419756\pi\)
\(642\) −1.20383 0.120342i −0.0475113 0.00474952i
\(643\) 6.28724i 0.247944i −0.992286 0.123972i \(-0.960437\pi\)
0.992286 0.123972i \(-0.0395634\pi\)
\(644\) −28.9981 + 4.80935i −1.14269 + 0.189515i
\(645\) 20.8155i 0.819610i
\(646\) 1.11534 11.1572i 0.0438823 0.438973i
\(647\) −6.12848 7.07264i −0.240935 0.278054i 0.622384 0.782712i \(-0.286164\pi\)
−0.863320 + 0.504658i \(0.831619\pi\)
\(648\) −2.35887 1.56069i −0.0926651 0.0613096i
\(649\) −0.698034 4.85493i −0.0274002 0.190573i
\(650\) 30.1158 21.2447i 1.18124 0.833285i
\(651\) 4.45183 + 2.03308i 0.174481 + 0.0796828i
\(652\) −1.84382 21.3049i −0.0722096 0.834363i
\(653\) −0.583846 0.0839443i −0.0228476 0.00328500i 0.130882 0.991398i \(-0.458219\pi\)
−0.153729 + 0.988113i \(0.549128\pi\)
\(654\) −0.444595 10.2936i −0.0173850 0.402511i
\(655\) 3.47579 + 1.02058i 0.135810 + 0.0398775i
\(656\) −9.96006 + 38.0932i −0.388875 + 1.48729i
\(657\) 3.14292 + 6.88204i 0.122617 + 0.268494i
\(658\) −23.3971 + 40.1130i −0.912112 + 1.56377i
\(659\) 22.4051 + 19.4142i 0.872780 + 0.756269i 0.971046 0.238892i \(-0.0767841\pi\)
−0.0982658 + 0.995160i \(0.531330\pi\)
\(660\) 0.802268 + 2.05666i 0.0312282 + 0.0800552i
\(661\) 26.1044 40.6193i 1.01534 1.57991i 0.218394 0.975861i \(-0.429918\pi\)
0.796950 0.604046i \(-0.206446\pi\)
\(662\) 0.669350 + 0.165529i 0.0260150 + 0.00643348i
\(663\) 25.1218 16.1448i 0.975649 0.627011i
\(664\) 1.32622 + 0.627122i 0.0514673 + 0.0243371i
\(665\) 13.5821 3.98808i 0.526693 0.154651i
\(666\) −3.15166 + 7.77237i −0.122124 + 0.301173i
\(667\) 34.5503 7.75604i 1.33779 0.300315i
\(668\) −2.40601 2.33522i −0.0930914 0.0903525i
\(669\) −7.04962 24.0088i −0.272554 0.928233i
\(670\) −3.10785 9.11007i −0.120067 0.351953i
\(671\) −2.27283 + 1.46066i −0.0877414 + 0.0563880i
\(672\) 3.65747 16.9456i 0.141090 0.653690i
\(673\) 31.4324 + 20.2004i 1.21163 + 0.778667i 0.980930 0.194359i \(-0.0622626\pi\)
0.230698 + 0.973025i \(0.425899\pi\)
\(674\) 5.01281 4.73744i 0.193086 0.182479i
\(675\) −3.51754 3.04796i −0.135390 0.117316i
\(676\) 29.0488 22.4301i 1.11726 0.862696i
\(677\) −34.7618 + 15.8752i −1.33601 + 0.610133i −0.949967 0.312350i \(-0.898884\pi\)
−0.386038 + 0.922483i \(0.626157\pi\)
\(678\) −3.09001 + 3.89361i −0.118671 + 0.149533i
\(679\) 10.1501 + 2.98035i 0.389527 + 0.114375i
\(680\) −35.0116 31.1629i −1.34263 1.19504i
\(681\) 1.41638 9.85115i 0.0542758 0.377497i
\(682\) 0.364477 + 0.714752i 0.0139565 + 0.0273693i
\(683\) 46.4303 + 21.2040i 1.77661 + 0.811349i 0.977734 + 0.209847i \(0.0672967\pi\)
0.798872 + 0.601501i \(0.205431\pi\)
\(684\) −2.89551 + 0.675304i −0.110712 + 0.0258209i
\(685\) 45.6720 6.56664i 1.74504 0.250898i
\(686\) 19.6284 3.69286i 0.749417 0.140994i
\(687\) 3.99250 + 4.60759i 0.152324 + 0.175791i
\(688\) −25.4746 + 8.31381i −0.971210 + 0.316961i
\(689\) −38.0344 −1.44899
\(690\) 21.0688 + 0.455372i 0.802075 + 0.0173357i
\(691\) 12.3180i 0.468601i −0.972164 0.234300i \(-0.924720\pi\)
0.972164 0.234300i \(-0.0752799\pi\)
\(692\) −6.05581 + 11.4951i −0.230207 + 0.436979i
\(693\) −0.822761 + 0.712926i −0.0312541 + 0.0270818i
\(694\) −0.155112 0.824457i −0.00588796 0.0312960i
\(695\) 1.24127 + 8.63323i 0.0470841 + 0.327477i
\(696\) −3.24685 + 20.6299i −0.123071 + 0.781972i
\(697\) −21.8088 + 47.7546i −0.826067 + 1.80883i
\(698\) 4.42938 + 8.68617i 0.167654 + 0.328776i
\(699\) −26.5882 3.82280i −1.00566 0.144592i
\(700\) 9.56910 26.8744i 0.361678 1.01576i
\(701\) 0.670724 2.28428i 0.0253329 0.0862759i −0.945856 0.324586i \(-0.894775\pi\)
0.971189 + 0.238310i \(0.0765933\pi\)
\(702\) −6.20250 4.92237i −0.234098 0.185783i
\(703\) 3.66246 + 8.01966i 0.138132 + 0.302467i
\(704\) 2.19657 1.80328i 0.0827862 0.0679635i
\(705\) 21.8022 25.1610i 0.821117 0.947619i
\(706\) 16.3640 15.4651i 0.615869 0.582037i
\(707\) 20.3106 31.6040i 0.763860 1.18859i
\(708\) 16.2166 22.3507i 0.609456 0.839992i
\(709\) −24.3929 37.9561i −0.916095 1.42547i −0.904942 0.425534i \(-0.860086\pi\)
−0.0111529 0.999938i \(-0.503550\pi\)
\(710\) −36.0216 + 12.2886i −1.35187 + 0.461182i
\(711\) 11.8263 3.47252i 0.443521 0.130230i
\(712\) −9.06296 20.5649i −0.339649 0.770703i
\(713\) 7.63563 0.596980i 0.285956 0.0223571i
\(714\) 8.68591 21.4205i 0.325062 0.801642i
\(715\) 1.74120 + 5.92997i 0.0651170 + 0.221768i
\(716\) −6.01609 0.340092i −0.224832 0.0127098i
\(717\) −8.27496 12.8761i −0.309034 0.480866i
\(718\) −0.202964 + 0.820723i −0.00757454 + 0.0306291i
\(719\) −1.23748 0.795279i −0.0461501 0.0296589i 0.517362 0.855766i \(-0.326914\pi\)
−0.563512 + 0.826108i \(0.690550\pi\)
\(720\) −4.82320 + 11.4545i −0.179750 + 0.426886i
\(721\) 34.7537 40.1079i 1.29430 1.49370i
\(722\) 11.9634 20.5106i 0.445232 0.763326i
\(723\) −1.99775 + 0.912343i −0.0742973 + 0.0339304i
\(724\) 1.11035 0.627996i 0.0412659 0.0233393i
\(725\) −9.68194 + 32.9737i −0.359578 + 1.22461i
\(726\) 15.3636 0.663575i 0.570195 0.0246276i
\(727\) −3.81844 + 26.5578i −0.141618 + 0.984975i 0.787796 + 0.615936i \(0.211222\pi\)
−0.929414 + 0.369039i \(0.879687\pi\)
\(728\) 14.2916 46.3808i 0.529683 1.71899i
\(729\) −0.415415 + 0.909632i −0.0153857 + 0.0336901i
\(730\) 27.1660 19.1638i 1.00546 0.709284i
\(731\) −35.3658 + 5.08484i −1.30805 + 0.188070i
\(732\) −14.9095 3.01097i −0.551069 0.111288i
\(733\) 25.3990 22.0084i 0.938135 0.812899i −0.0443927 0.999014i \(-0.514135\pi\)
0.982528 + 0.186115i \(0.0595898\pi\)
\(734\) 35.2752 + 3.52632i 1.30203 + 0.130159i
\(735\) 7.43090 0.274093
\(736\) −7.85767 25.9665i −0.289638 0.957136i
\(737\) 0.778176 0.0286645
\(738\) 13.8517 + 1.38470i 0.509888 + 0.0509715i
\(739\) −10.3265 + 8.94800i −0.379868 + 0.329157i −0.823777 0.566915i \(-0.808137\pi\)
0.443909 + 0.896072i \(0.353591\pi\)
\(740\) 36.1248 + 7.29542i 1.32798 + 0.268185i
\(741\) −8.23899 + 1.18459i −0.302667 + 0.0435169i
\(742\) −24.0566 + 16.9704i −0.883147 + 0.623002i
\(743\) 10.0763 22.0640i 0.369663 0.809448i −0.629803 0.776755i \(-0.716864\pi\)
0.999465 0.0326932i \(-0.0104084\pi\)
\(744\) −1.33014 + 4.31670i −0.0487651 + 0.158258i
\(745\) 9.54056 66.3561i 0.349539 2.43110i
\(746\) 2.32966 0.100621i 0.0852948 0.00368401i
\(747\) 0.146126 0.497659i 0.00534647 0.0182084i
\(748\) 3.29831 1.86547i 0.120598 0.0682083i
\(749\) −2.38475 + 1.08908i −0.0871369 + 0.0397941i
\(750\) 0.765202 1.31190i 0.0279412 0.0479037i
\(751\) −0.995689 + 1.14909i −0.0363332 + 0.0419308i −0.773625 0.633643i \(-0.781559\pi\)
0.737292 + 0.675574i \(0.236104\pi\)
\(752\) −39.5007 16.6327i −1.44044 0.606531i
\(753\) 1.19664 + 0.769035i 0.0436081 + 0.0280252i
\(754\) −14.0357 + 56.7559i −0.511148 + 2.06693i
\(755\) 18.3177 + 28.5029i 0.666650 + 1.03733i
\(756\) −6.11936 0.345930i −0.222559 0.0125813i
\(757\) 11.2102 + 38.1785i 0.407443 + 1.38762i 0.866483 + 0.499206i \(0.166375\pi\)
−0.459041 + 0.888415i \(0.651807\pi\)
\(758\) 11.3191 27.9143i 0.411129 1.01389i
\(759\) −0.584791 + 1.60018i −0.0212266 + 0.0580830i
\(760\) 5.26871 + 11.9553i 0.191116 + 0.433665i
\(761\) 9.99306 2.93423i 0.362248 0.106366i −0.0955432 0.995425i \(-0.530459\pi\)
0.457791 + 0.889060i \(0.348641\pi\)
\(762\) −18.8680 + 6.43670i −0.683514 + 0.233177i
\(763\) −12.0707 18.7824i −0.436989 0.679969i
\(764\) −21.1609 + 29.1653i −0.765575 + 1.05516i
\(765\) −8.95928 + 13.9409i −0.323923 + 0.504035i
\(766\) 21.7869 20.5900i 0.787192 0.743949i
\(767\) 50.6255 58.4249i 1.82798 2.10960i
\(768\) 15.9448 + 1.32777i 0.575359 + 0.0479119i
\(769\) 17.1262 + 37.5010i 0.617585 + 1.35232i 0.917263 + 0.398282i \(0.130393\pi\)
−0.299678 + 0.954040i \(0.596879\pi\)
\(770\) 3.74717 + 2.97380i 0.135038 + 0.107168i
\(771\) −2.08943 + 7.11594i −0.0752489 + 0.256274i
\(772\) −8.28152 + 23.2583i −0.298058 + 0.837085i
\(773\) 13.3995 + 1.92656i 0.481947 + 0.0692936i 0.379007 0.925394i \(-0.376266\pi\)
0.102941 + 0.994687i \(0.467175\pi\)
\(774\) 4.30391 + 8.44012i 0.154701 + 0.303374i
\(775\) −3.08779 + 6.76131i −0.110917 + 0.242873i
\(776\) −1.51796 + 9.64481i −0.0544914 + 0.346228i
\(777\) 2.58650 + 17.9895i 0.0927903 + 0.645371i
\(778\) 9.43967 + 50.1741i 0.338429 + 1.79883i
\(779\) 11.0591 9.58280i 0.396235 0.343339i
\(780\) −16.2176 + 30.7841i −0.580682 + 1.10225i
\(781\) 3.07694i 0.110102i
\(782\) −4.37303 35.9074i −0.156379 1.28405i
\(783\) 7.38354 0.263866
\(784\) −2.96793 9.09414i −0.105998 0.324791i
\(785\) −15.2568 17.6073i −0.544539 0.628431i
\(786\) −1.62036 + 0.304852i −0.0577963 + 0.0108737i
\(787\) −6.65027 + 0.956164i −0.237056 + 0.0340836i −0.259819 0.965657i \(-0.583663\pi\)
0.0227626 + 0.999741i \(0.492754\pi\)
\(788\) −27.1084 + 6.32234i −0.965695 + 0.225224i
\(789\) −18.9088 8.63536i −0.673172 0.307427i
\(790\) −24.6041 48.2496i −0.875375 1.71664i
\(791\) −1.53294 + 10.6618i −0.0545051 + 0.379091i
\(792\) −0.750542 0.668038i −0.0266694 0.0237377i
\(793\) −40.8578 11.9969i −1.45090 0.426024i
\(794\) −29.2701 + 36.8822i −1.03876 + 1.30890i
\(795\) 19.1992 8.76797i 0.680924 0.310968i
\(796\) −7.78755 + 6.01317i −0.276022 + 0.213131i
\(797\) −26.5423 22.9990i −0.940176 0.814667i 0.0426713 0.999089i \(-0.486413\pi\)
−0.982847 + 0.184422i \(0.940959\pi\)
\(798\) −4.68260 + 4.42537i −0.165762 + 0.156656i
\(799\) −48.0748 30.8958i −1.70076 1.09301i
\(800\) 25.7365 + 5.55487i 0.909921 + 0.196394i
\(801\) −6.68421 + 4.29568i −0.236175 + 0.151781i
\(802\) −7.93112 23.2486i −0.280058 0.820936i
\(803\) 0.757209 + 2.57882i 0.0267213 + 0.0910045i
\(804\) 3.14379 + 3.05129i 0.110873 + 0.107611i
\(805\) 39.9344 22.1505i 1.40750 0.780703i
\(806\) −4.75193 + 11.7188i −0.167379 + 0.412778i
\(807\) −17.9230 + 5.26267i −0.630919 + 0.185255i
\(808\) 31.3452 + 14.8220i 1.10272 + 0.521437i
\(809\) −3.49238 + 2.24442i −0.122786 + 0.0789095i −0.600592 0.799556i \(-0.705068\pi\)
0.477806 + 0.878465i \(0.341432\pi\)
\(810\) 4.26567 + 1.05489i 0.149880 + 0.0370652i
\(811\) −10.7324 + 16.7000i −0.376867 + 0.586416i −0.976936 0.213532i \(-0.931503\pi\)
0.600070 + 0.799948i \(0.295140\pi\)
\(812\) 16.4461 + 42.1605i 0.577146 + 1.47954i
\(813\) 17.9294 + 15.5360i 0.628813 + 0.544870i
\(814\) −1.50116 + 2.57365i −0.0526155 + 0.0902064i
\(815\) 13.8011 + 30.2202i 0.483431 + 1.05857i
\(816\) 20.6397 + 5.39656i 0.722533 + 0.188917i
\(817\) 9.55570 + 2.80581i 0.334312 + 0.0981628i
\(818\) −0.383381 8.87631i −0.0134046 0.310353i
\(819\) −16.9843 2.44197i −0.593478 0.0853293i
\(820\) −5.27422 60.9423i −0.184184 2.12820i
\(821\) 12.0740 + 5.51403i 0.421387 + 0.192441i 0.614811 0.788674i \(-0.289232\pi\)
−0.193424 + 0.981115i \(0.561959\pi\)
\(822\) −17.1610 + 12.1060i −0.598559 + 0.422244i
\(823\) −2.56989 17.8740i −0.0895807 0.623047i −0.984311 0.176441i \(-0.943542\pi\)
0.894731 0.446606i \(-0.147368\pi\)
\(824\) 40.8495 + 27.0271i 1.42306 + 0.941533i
\(825\) −1.08277 1.24959i −0.0376973 0.0435050i
\(826\) 5.95218 59.5420i 0.207103 2.07173i
\(827\) 18.2854i 0.635846i 0.948117 + 0.317923i \(0.102985\pi\)
−0.948117 + 0.317923i \(0.897015\pi\)
\(828\) −8.63698 + 4.17164i −0.300156 + 0.144975i
\(829\) 2.52587i 0.0877272i 0.999038 + 0.0438636i \(0.0139667\pi\)
−0.999038 + 0.0438636i \(0.986033\pi\)
\(830\) −2.26782 0.226705i −0.0787171 0.00786903i
\(831\) 3.46940 + 4.00390i 0.120352 + 0.138894i
\(832\) 44.1519 + 7.55219i 1.53069 + 0.261825i
\(833\) −1.81523 12.6252i −0.0628940 0.437437i
\(834\) −2.28835 3.24389i −0.0792391 0.112327i
\(835\) 4.73830 + 2.16391i 0.163976 + 0.0748852i
\(836\) −1.05228 + 0.0910693i −0.0363940 + 0.00314970i
\(837\) 1.58074 + 0.227276i 0.0546384 + 0.00785582i
\(838\) −16.3105 + 0.704477i −0.563439 + 0.0243358i
\(839\) −6.24743 1.83441i −0.215685 0.0633309i 0.172105 0.985079i \(-0.444943\pi\)
−0.387790 + 0.921748i \(0.626761\pi\)
\(840\) 3.47785 + 26.7069i 0.119997 + 0.921477i
\(841\) −10.6000 23.2107i −0.365516 0.800369i
\(842\) 6.89332 + 4.02073i 0.237559 + 0.138563i
\(843\) −11.3300 9.81746i −0.390224 0.338131i
\(844\) −11.5846 29.6978i −0.398760 1.02224i
\(845\) −30.8259 + 47.9660i −1.06044 + 1.65008i
\(846\) −3.63777 + 14.7100i −0.125069 + 0.505741i
\(847\) 28.0335 18.0160i 0.963242 0.619038i
\(848\) −18.3987 19.9945i −0.631815 0.686615i
\(849\) 16.8415 4.94510i 0.577998 0.169716i
\(850\) 32.5329 + 13.1919i 1.11587 + 0.452479i
\(851\) 17.1950 + 22.6555i 0.589439 + 0.776620i
\(852\) 12.0650 12.4307i 0.413339 0.425869i
\(853\) 13.9530 + 47.5197i 0.477743 + 1.62704i 0.747605 + 0.664143i \(0.231204\pi\)
−0.269862 + 0.962899i \(0.586978\pi\)
\(854\) −31.1953 + 10.6421i −1.06748 + 0.364166i
\(855\) 3.88584 2.49728i 0.132893 0.0854051i
\(856\) −1.28097 2.05277i −0.0437825 0.0701623i
\(857\) −45.8189 29.4460i −1.56514 1.00586i −0.980954 0.194238i \(-0.937777\pi\)
−0.584188 0.811618i \(-0.698587\pi\)
\(858\) −1.93212 2.04442i −0.0659613 0.0697955i
\(859\) 18.3256 + 15.8793i 0.625263 + 0.541793i 0.908834 0.417158i \(-0.136974\pi\)
−0.283571 + 0.958951i \(0.591519\pi\)
\(860\) 32.9512 25.4433i 1.12363 0.867609i
\(861\) 27.4398 12.5314i 0.935148 0.427068i
\(862\) −10.2951 8.17032i −0.350653 0.278282i
\(863\) 12.7263 + 3.73679i 0.433210 + 0.127202i 0.491065 0.871123i \(-0.336608\pi\)
−0.0578549 + 0.998325i \(0.518426\pi\)
\(864\) −0.412718 5.64178i −0.0140409 0.191937i
\(865\) 2.87265 19.9797i 0.0976729 0.679330i
\(866\) −16.3164 + 8.32031i −0.554455 + 0.282736i
\(867\) 10.4106 + 4.75438i 0.353564 + 0.161467i
\(868\) 2.22319 + 9.53238i 0.0754599 + 0.323550i
\(869\) 4.33403 0.623139i 0.147022 0.0211385i
\(870\) −5.99881 31.8851i −0.203379 1.08101i
\(871\) 8.03195 + 9.26936i 0.272152 + 0.314080i
\(872\) 15.7514 13.2859i 0.533410 0.449917i
\(873\) 3.45193 0.116830
\(874\) −3.04899 + 9.61060i −0.103134 + 0.325083i
\(875\) 3.29110i 0.111259i
\(876\) −7.05268 + 13.3874i −0.238288 + 0.452317i
\(877\) −21.4118 + 18.5534i −0.723026 + 0.626505i −0.936591 0.350423i \(-0.886038\pi\)
0.213566 + 0.976929i \(0.431492\pi\)
\(878\) −23.0371 + 4.33416i −0.777465 + 0.146271i
\(879\) −4.34975 30.2532i −0.146713 1.02041i
\(880\) −2.27508 + 3.78390i −0.0766929 + 0.127555i
\(881\) 13.1456 28.7849i 0.442888 0.969789i −0.548171 0.836366i \(-0.684676\pi\)
0.991059 0.133423i \(-0.0425968\pi\)
\(882\) −3.01303 + 1.53645i −0.101454 + 0.0517349i
\(883\) 39.0837 + 5.61939i 1.31527 + 0.189108i 0.763999 0.645218i \(-0.223233\pi\)
0.551273 + 0.834325i \(0.314142\pi\)
\(884\) 56.2643 + 20.0339i 1.89237 + 0.673812i
\(885\) −12.0864 + 41.1626i −0.406281 + 1.38367i
\(886\) 23.0226 29.0099i 0.773458 0.974605i
\(887\) 11.0855 + 24.2738i 0.372214 + 0.815034i 0.999347 + 0.0361226i \(0.0115007\pi\)
−0.627134 + 0.778912i \(0.715772\pi\)
\(888\) −16.1561 + 4.51125i −0.542163 + 0.151388i
\(889\) −28.2900 + 32.6484i −0.948817 + 1.09499i
\(890\) 23.9812 + 25.3751i 0.803850 + 0.850576i
\(891\) −0.192060 + 0.298851i −0.00643424 + 0.0100119i
\(892\) 29.3893 40.5061i 0.984025 1.35625i
\(893\) 8.61178 + 13.4002i 0.288182 + 0.448421i
\(894\) 9.85165 + 28.8782i 0.329489 + 0.965833i
\(895\) 8.98216 2.63740i 0.300241 0.0881586i
\(896\) 31.2956 14.9232i 1.04551 0.498548i
\(897\) −25.0967 + 9.55047i −0.837956 + 0.318881i
\(898\) −34.2619 13.8930i −1.14334 0.463617i
\(899\) −3.32204 11.3138i −0.110796 0.377338i
\(900\) 0.525388 9.29390i 0.0175129 0.309797i
\(901\) −19.5869 30.4778i −0.652534 1.01536i
\(902\) 4.80065 + 1.18719i 0.159844 + 0.0395292i
\(903\) 17.2711 + 11.0995i 0.574747 + 0.369367i
\(904\) −9.94062 0.132274i −0.330620 0.00439936i
\(905\) −1.29781 + 1.49775i −0.0431405 + 0.0497868i
\(906\) −13.3207 7.76971i −0.442552 0.258131i
\(907\) 8.64130 3.94635i 0.286930 0.131036i −0.266751 0.963765i \(-0.585950\pi\)
0.553681 + 0.832729i \(0.313223\pi\)
\(908\) 17.3257 9.79915i 0.574975 0.325196i
\(909\) 3.45369 11.7622i 0.114552 0.390127i
\(910\) 3.25357 + 75.3290i 0.107855 + 2.49713i
\(911\) 3.56376 24.7865i 0.118073 0.821214i −0.841601 0.540099i \(-0.818387\pi\)
0.959674 0.281115i \(-0.0907042\pi\)
\(912\) −4.60826 3.75818i −0.152595 0.124446i
\(913\) 0.0765420 0.167604i 0.00253317 0.00554687i
\(914\) −16.4636 23.3383i −0.544568 0.771963i
\(915\) 23.3900 3.36298i 0.773251 0.111177i
\(916\) −2.41374 + 11.9522i −0.0797522 + 0.394910i
\(917\) −2.70020 + 2.33974i −0.0891685 + 0.0772650i
\(918\) 0.750257 7.50512i 0.0247622 0.247706i
\(919\) 17.5109 0.577630 0.288815 0.957385i \(-0.406739\pi\)
0.288815 + 0.957385i \(0.406739\pi\)
\(920\) 25.0320 + 33.9087i 0.825282 + 1.11794i
\(921\) 16.1939 0.533606
\(922\) 0.812908 8.13184i 0.0267717 0.267808i
\(923\) 36.6515 31.7587i 1.20640 1.04535i
\(924\) −2.13425 0.431012i −0.0702117 0.0141793i
\(925\) −27.3220 + 3.92831i −0.898341 + 0.129162i
\(926\) −11.1799 15.8483i −0.367395 0.520808i
\(927\) 7.19392 15.7525i 0.236279 0.517380i
\(928\) −36.6260 + 20.0766i −1.20231 + 0.659046i
\(929\) 3.12443 21.7309i 0.102509 0.712967i −0.872145 0.489248i \(-0.837271\pi\)
0.974654 0.223719i \(-0.0718197\pi\)
\(930\) −0.302813 7.01094i −0.00992964 0.229898i
\(931\) −1.00164 + 3.41128i −0.0328275 + 0.111800i
\(932\) −26.4478 46.7621i −0.866328 1.53174i
\(933\) 19.5706 8.93757i 0.640711 0.292603i
\(934\) −0.340674 0.198708i −0.0111472 0.00650192i
\(935\) −3.85514 + 4.44907i −0.126077 + 0.145500i
\(936\) 0.210711 15.8354i 0.00688731 0.517595i
\(937\) −44.5300 28.6177i −1.45473 0.934899i −0.998997 0.0447827i \(-0.985740\pi\)
−0.455734 0.890116i \(-0.650623\pi\)
\(938\) 9.21604 + 2.27912i 0.300914 + 0.0744157i
\(939\) −16.6861 25.9641i −0.544530 0.847305i
\(940\) 66.4795 + 3.75811i 2.16832 + 0.122576i
\(941\) 14.5943 + 49.7037i 0.475762 + 1.62030i 0.751970 + 0.659198i \(0.229104\pi\)
−0.276208 + 0.961098i \(0.589078\pi\)
\(942\) 9.82679 + 3.98471i 0.320174 + 0.129829i
\(943\) 28.0394 37.9782i 0.913090 1.23674i
\(944\) 55.2034 1.64881i 1.79672 0.0536643i
\(945\) 9.13634 2.68267i 0.297205 0.0872673i
\(946\) 1.08667 + 3.18538i 0.0353308 + 0.103566i
\(947\) −27.2583 42.4147i −0.885774 1.37829i −0.925366 0.379076i \(-0.876242\pi\)
0.0395913 0.999216i \(-0.487394\pi\)
\(948\) 19.9526 + 14.4766i 0.648031 + 0.470179i
\(949\) −22.9024 + 35.6369i −0.743445 + 1.15682i
\(950\) −6.72112 7.11180i −0.218062 0.230737i
\(951\) −1.32259 + 1.52635i −0.0428878 + 0.0494952i
\(952\) 44.5259 12.4329i 1.44309 0.402953i
\(953\) 18.4275 + 40.3506i 0.596926 + 1.30709i 0.931165 + 0.364597i \(0.118793\pi\)
−0.334239 + 0.942488i \(0.608479\pi\)
\(954\) −5.97184 + 7.52489i −0.193345 + 0.243627i
\(955\) 15.7715 53.7129i 0.510354 1.73811i
\(956\) 10.2683 28.8381i 0.332101 0.932691i
\(957\) 2.59626 + 0.373286i 0.0839252 + 0.0120666i
\(958\) 2.24900 1.14684i 0.0726620 0.0370528i
\(959\) −18.9052 + 41.3967i −0.610482 + 1.33677i
\(960\) −24.0282 + 6.36599i −0.775507 + 0.205461i
\(961\) 4.04880 + 28.1600i 0.130606 + 0.908388i
\(962\) −46.1506 + 8.68269i −1.48796 + 0.279941i
\(963\) −0.646527 + 0.560219i −0.0208341 + 0.0180528i
\(964\) −3.88615 2.04729i −0.125165 0.0659386i
\(965\) 38.3557i 1.23471i
\(966\) −11.6124 + 17.2385i −0.373622 + 0.554638i
\(967\) −31.0520 −0.998563 −0.499282 0.866440i \(-0.666403\pi\)
−0.499282 + 0.866440i \(0.666403\pi\)
\(968\) 19.8297 + 23.5096i 0.637350 + 0.755626i
\(969\) −5.19215 5.99206i −0.166796 0.192493i
\(970\) −2.80455 14.9068i −0.0900485 0.478630i
\(971\) −3.56079 + 0.511964i −0.114271 + 0.0164297i −0.199213 0.979956i \(-0.563839\pi\)
0.0849420 + 0.996386i \(0.472930\pi\)
\(972\) −1.94773 + 0.454259i −0.0624734 + 0.0145704i
\(973\) −7.82508 3.57359i −0.250861 0.114564i
\(974\) −49.8867 + 25.4390i −1.59847 + 0.815117i
\(975\) 3.70879 25.7952i 0.118776 0.826108i
\(976\) −13.4578 27.2822i −0.430774 0.873282i
\(977\) 34.8058 + 10.2199i 1.11353 + 0.326963i 0.786217 0.617951i \(-0.212037\pi\)
0.327318 + 0.944914i \(0.393855\pi\)
\(978\) −11.8444 9.39989i −0.378744 0.300575i
\(979\) −2.56753 + 1.17255i −0.0820588 + 0.0374750i
\(980\) 9.08296 + 11.7632i 0.290145 + 0.375761i
\(981\) −5.50597 4.77095i −0.175792 0.152325i
\(982\) −18.6031 19.6844i −0.593648 0.628155i
\(983\) −45.6917 29.3642i −1.45734 0.936574i −0.998854 0.0478711i \(-0.984756\pi\)
−0.458484 0.888703i \(-0.651607\pi\)
\(984\) 14.7393 + 23.6199i 0.469871 + 0.752976i
\(985\) 36.3801 23.3801i 1.15917 0.744950i
\(986\) −52.7079 + 17.9810i −1.67856 + 0.572632i
\(987\) 9.25111 + 31.5064i 0.294466 + 1.00286i
\(988\) −11.9459 11.5945i −0.380051 0.368869i
\(989\) 32.0610 + 2.07966i 1.01948 + 0.0661293i
\(990\) 1.44660 + 0.586588i 0.0459759 + 0.0186430i
\(991\) 48.0999 14.1234i 1.52794 0.448645i 0.593524 0.804816i \(-0.297736\pi\)
0.934421 + 0.356171i \(0.115918\pi\)
\(992\) −8.45925 + 3.17079i −0.268581 + 0.100673i
\(993\) 0.410161 0.263595i 0.0130161 0.00836492i
\(994\) 9.01173 36.4407i 0.285835 1.15583i
\(995\) 8.26395 12.8590i 0.261985 0.407656i
\(996\) 0.966413 0.376982i 0.0306220 0.0119451i
\(997\) 37.1653 + 32.2039i 1.17704 + 1.01991i 0.999358 + 0.0358185i \(0.0114038\pi\)
0.177677 + 0.984089i \(0.443142\pi\)
\(998\) 12.8496 + 7.49489i 0.406747 + 0.237247i
\(999\) 2.46364 + 5.39461i 0.0779460 + 0.170678i
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 552.2.bb.a.469.46 yes 480
8.5 even 2 inner 552.2.bb.a.469.37 yes 480
23.18 even 11 inner 552.2.bb.a.133.37 480
184.133 even 22 inner 552.2.bb.a.133.46 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.bb.a.133.37 480 23.18 even 11 inner
552.2.bb.a.133.46 yes 480 184.133 even 22 inner
552.2.bb.a.469.37 yes 480 8.5 even 2 inner
552.2.bb.a.469.46 yes 480 1.1 even 1 trivial