Properties

Label 201.2.m.a.4.4
Level $201$
Weight $2$
Character 201.4
Analytic conductor $1.605$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,2,Mod(4,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.m (of order \(33\), degree \(20\), 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: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(5\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 201.4
Dual form 201.2.m.a.151.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.11009 + 0.106001i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.742792 - 0.143161i) q^{4} +(-0.436900 - 3.03870i) q^{5} +(-0.876559 - 0.689334i) q^{6} +(0.656215 - 0.921525i) q^{7} +(-2.94933 - 0.866001i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(1.11009 + 0.106001i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.742792 - 0.143161i) q^{4} +(-0.436900 - 3.03870i) q^{5} +(-0.876559 - 0.689334i) q^{6} +(0.656215 - 0.921525i) q^{7} +(-2.94933 - 0.866001i) q^{8} +(0.415415 + 0.909632i) q^{9} +(-0.162893 - 3.41955i) q^{10} +(2.03386 - 1.59944i) q^{11} +(0.547477 + 0.522019i) q^{12} +(0.119616 - 0.493063i) q^{13} +(0.826141 - 0.953418i) q^{14} +(-1.27530 + 2.79253i) q^{15} +(-1.77768 - 0.711674i) q^{16} +(-0.655862 + 0.126407i) q^{17} +(0.364727 + 1.05381i) q^{18} +(2.28929 + 3.21486i) q^{19} +(-0.110500 + 2.31967i) q^{20} +(-1.05026 + 0.420460i) q^{21} +(2.42731 - 1.55994i) q^{22} +(4.23088 - 2.18117i) q^{23} +(2.01294 + 2.32305i) q^{24} +(-4.24538 + 1.24656i) q^{25} +(0.185050 - 0.534666i) q^{26} +(0.142315 - 0.989821i) q^{27} +(-0.619358 + 0.590557i) q^{28} +(2.53092 + 4.38368i) q^{29} +(-1.71171 + 2.96478i) q^{30} +(-0.447781 - 1.84578i) q^{31} +(3.56633 + 1.83857i) q^{32} +(-2.57571 + 0.245951i) q^{33} +(-0.741466 + 0.0708014i) q^{34} +(-3.08694 - 1.59143i) q^{35} +(-0.178343 - 0.735139i) q^{36} +(-5.95700 + 10.3178i) q^{37} +(2.20055 + 3.81146i) q^{38} +(-0.367197 + 0.350122i) q^{39} +(-1.34296 + 9.34050i) q^{40} +(2.32527 - 6.71843i) q^{41} +(-1.21045 + 0.355420i) q^{42} +(-2.52606 - 2.91523i) q^{43} +(-1.73971 + 0.896884i) q^{44} +(2.58261 - 1.65974i) q^{45} +(4.92787 - 1.97282i) q^{46} +(0.517123 - 10.8558i) q^{47} +(1.11072 + 1.55978i) q^{48} +(1.87089 + 5.40557i) q^{49} +(-4.84489 + 0.933777i) q^{50} +(0.620087 + 0.248245i) q^{51} +(-0.159437 + 0.349119i) q^{52} +(2.68554 - 3.09928i) q^{53} +(0.262904 - 1.08371i) q^{54} +(-5.74883 - 5.48150i) q^{55} +(-2.73344 + 2.14960i) q^{56} +(-0.187790 - 3.94220i) q^{57} +(2.34488 + 5.13456i) q^{58} +(9.97475 + 2.92885i) q^{59} +(1.34707 - 1.89169i) q^{60} +(-0.0373233 - 0.0293513i) q^{61} +(-0.301423 - 2.09645i) q^{62} +(1.11085 + 0.214099i) q^{63} +(6.98580 + 4.48950i) q^{64} +(-1.55053 - 0.148058i) q^{65} -2.88535 q^{66} +(8.17194 - 0.468392i) q^{67} +0.505266 q^{68} +(-4.73847 - 0.452469i) q^{69} +(-3.25810 - 2.09385i) q^{70} +(-12.8385 - 2.47443i) q^{71} +(-0.437453 - 3.04255i) q^{72} +(-0.950240 - 0.747277i) q^{73} +(-7.70651 + 10.8223i) q^{74} +(4.24538 + 1.24656i) q^{75} +(-1.24022 - 2.71571i) q^{76} +(-0.139279 - 2.92383i) q^{77} +(-0.444736 + 0.349744i) q^{78} +(0.693158 + 0.660925i) q^{79} +(-1.38590 + 5.71277i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(3.29342 - 7.21159i) q^{82} +(5.90078 + 2.36232i) q^{83} +(0.840316 - 0.161958i) q^{84} +(0.670660 + 1.93774i) q^{85} +(-2.49514 - 3.50393i) q^{86} +(0.240852 - 5.05610i) q^{87} +(-7.38364 + 2.95596i) q^{88} +(1.69546 - 1.08961i) q^{89} +(3.04286 - 1.56871i) q^{90} +(-0.375877 - 0.433785i) q^{91} +(-3.45492 + 1.01446i) q^{92} +(-0.621205 + 1.79486i) q^{93} +(1.72477 - 11.9961i) q^{94} +(8.76883 - 8.36106i) q^{95} +(-2.00618 - 3.47481i) q^{96} +(-7.91937 + 13.7168i) q^{97} +(1.50386 + 6.19899i) q^{98} +(2.29980 + 1.18563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100 q + 2 q^{2} + 10 q^{3} + 6 q^{4} - 2 q^{5} + 9 q^{6} + q^{7} - 45 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 100 q + 2 q^{2} + 10 q^{3} + 6 q^{4} - 2 q^{5} + 9 q^{6} + q^{7} - 45 q^{8} - 10 q^{9} - 25 q^{10} + 9 q^{11} + 5 q^{12} - 3 q^{13} + 22 q^{14} - 9 q^{15} - 46 q^{17} + 2 q^{18} - 14 q^{19} - 16 q^{20} - q^{21} - 17 q^{22} + 12 q^{23} + 12 q^{24} - 44 q^{25} - 7 q^{26} + 10 q^{27} - 90 q^{28} + 43 q^{29} - 30 q^{30} - 10 q^{31} + 20 q^{32} - 42 q^{33} + 20 q^{34} + 3 q^{35} - 5 q^{36} + 50 q^{37} + 16 q^{38} + 3 q^{39} + 55 q^{40} - 48 q^{41} - 45 q^{43} - 147 q^{44} - 2 q^{45} + 47 q^{46} + 44 q^{47} - 64 q^{49} - 54 q^{50} + 24 q^{51} - 34 q^{52} + 68 q^{53} - 2 q^{54} - 17 q^{55} + 111 q^{56} + 3 q^{57} + 88 q^{58} - 2 q^{59} - 6 q^{60} + 21 q^{61} + 86 q^{62} + 23 q^{63} + 19 q^{64} + 6 q^{65} + 94 q^{66} + 20 q^{67} - 202 q^{68} + 21 q^{69} - 20 q^{70} + q^{71} + 32 q^{72} + 10 q^{73} + 67 q^{74} + 44 q^{75} - 90 q^{76} - 62 q^{77} + 51 q^{78} - 29 q^{79} + 199 q^{80} - 10 q^{81} - 36 q^{82} + 43 q^{83} - 75 q^{84} + 93 q^{85} - 83 q^{86} + 12 q^{87} + 54 q^{88} + 21 q^{89} - 25 q^{90} + 58 q^{91} - 192 q^{92} - q^{93} + 14 q^{94} - 109 q^{95} - 9 q^{96} - 35 q^{97} - 15 q^{98} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{33}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11009 + 0.106001i 0.784953 + 0.0749539i 0.479833 0.877360i \(-0.340697\pi\)
0.305120 + 0.952314i \(0.401303\pi\)
\(3\) −0.841254 0.540641i −0.485698 0.312139i
\(4\) −0.742792 0.143161i −0.371396 0.0715807i
\(5\) −0.436900 3.03870i −0.195388 1.35895i −0.817458 0.575989i \(-0.804617\pi\)
0.622070 0.782961i \(-0.286292\pi\)
\(6\) −0.876559 0.689334i −0.357854 0.281419i
\(7\) 0.656215 0.921525i 0.248026 0.348304i −0.671729 0.740797i \(-0.734448\pi\)
0.919755 + 0.392493i \(0.128387\pi\)
\(8\) −2.94933 0.866001i −1.04275 0.306178i
\(9\) 0.415415 + 0.909632i 0.138472 + 0.303211i
\(10\) −0.162893 3.41955i −0.0515114 1.08136i
\(11\) 2.03386 1.59944i 0.613231 0.482250i −0.262576 0.964911i \(-0.584572\pi\)
0.875807 + 0.482661i \(0.160330\pi\)
\(12\) 0.547477 + 0.522019i 0.158043 + 0.150694i
\(13\) 0.119616 0.493063i 0.0331755 0.136751i −0.952815 0.303550i \(-0.901828\pi\)
0.985991 + 0.166799i \(0.0533431\pi\)
\(14\) 0.826141 0.953418i 0.220795 0.254812i
\(15\) −1.27530 + 2.79253i −0.329282 + 0.721027i
\(16\) −1.77768 0.711674i −0.444419 0.177919i
\(17\) −0.655862 + 0.126407i −0.159070 + 0.0306582i −0.268164 0.963373i \(-0.586417\pi\)
0.109094 + 0.994031i \(0.465205\pi\)
\(18\) 0.364727 + 1.05381i 0.0859669 + 0.248385i
\(19\) 2.28929 + 3.21486i 0.525200 + 0.737540i 0.988921 0.148441i \(-0.0474255\pi\)
−0.463721 + 0.885981i \(0.653486\pi\)
\(20\) −0.110500 + 2.31967i −0.0247085 + 0.518695i
\(21\) −1.05026 + 0.420460i −0.229185 + 0.0917518i
\(22\) 2.42731 1.55994i 0.517504 0.332580i
\(23\) 4.23088 2.18117i 0.882200 0.454806i 0.0432815 0.999063i \(-0.486219\pi\)
0.838918 + 0.544257i \(0.183188\pi\)
\(24\) 2.01294 + 2.32305i 0.410889 + 0.474192i
\(25\) −4.24538 + 1.24656i −0.849076 + 0.249311i
\(26\) 0.185050 0.534666i 0.0362912 0.104857i
\(27\) 0.142315 0.989821i 0.0273885 0.190491i
\(28\) −0.619358 + 0.590557i −0.117048 + 0.111605i
\(29\) 2.53092 + 4.38368i 0.469980 + 0.814029i 0.999411 0.0343243i \(-0.0109279\pi\)
−0.529431 + 0.848353i \(0.677595\pi\)
\(30\) −1.71171 + 2.96478i −0.312515 + 0.541291i
\(31\) −0.447781 1.84578i −0.0804238 0.331511i 0.917359 0.398060i \(-0.130316\pi\)
−0.997783 + 0.0665486i \(0.978801\pi\)
\(32\) 3.56633 + 1.83857i 0.630445 + 0.325017i
\(33\) −2.57571 + 0.245951i −0.448374 + 0.0428146i
\(34\) −0.741466 + 0.0708014i −0.127160 + 0.0121423i
\(35\) −3.08694 1.59143i −0.521789 0.269001i
\(36\) −0.178343 0.735139i −0.0297238 0.122523i
\(37\) −5.95700 + 10.3178i −0.979325 + 1.69624i −0.314473 + 0.949266i \(0.601828\pi\)
−0.664852 + 0.746975i \(0.731506\pi\)
\(38\) 2.20055 + 3.81146i 0.356976 + 0.618300i
\(39\) −0.367197 + 0.350122i −0.0587987 + 0.0560644i
\(40\) −1.34296 + 9.34050i −0.212341 + 1.47686i
\(41\) 2.32527 6.71843i 0.363146 1.04924i −0.604429 0.796659i \(-0.706599\pi\)
0.967575 0.252583i \(-0.0812802\pi\)
\(42\) −1.21045 + 0.355420i −0.186777 + 0.0548425i
\(43\) −2.52606 2.91523i −0.385220 0.444568i 0.529711 0.848178i \(-0.322301\pi\)
−0.914931 + 0.403611i \(0.867755\pi\)
\(44\) −1.73971 + 0.896884i −0.262271 + 0.135210i
\(45\) 2.58261 1.65974i 0.384993 0.247420i
\(46\) 4.92787 1.97282i 0.726575 0.290877i
\(47\) 0.517123 10.8558i 0.0754302 1.58347i −0.571291 0.820748i \(-0.693557\pi\)
0.646721 0.762727i \(-0.276140\pi\)
\(48\) 1.11072 + 1.55978i 0.160318 + 0.225135i
\(49\) 1.87089 + 5.40557i 0.267269 + 0.772224i
\(50\) −4.84489 + 0.933777i −0.685172 + 0.132056i
\(51\) 0.620087 + 0.248245i 0.0868296 + 0.0347613i
\(52\) −0.159437 + 0.349119i −0.0221100 + 0.0484141i
\(53\) 2.68554 3.09928i 0.368887 0.425718i −0.540711 0.841209i \(-0.681845\pi\)
0.909598 + 0.415490i \(0.136390\pi\)
\(54\) 0.262904 1.08371i 0.0357767 0.147474i
\(55\) −5.74883 5.48150i −0.775172 0.739125i
\(56\) −2.73344 + 2.14960i −0.365271 + 0.287252i
\(57\) −0.187790 3.94220i −0.0248734 0.522157i
\(58\) 2.34488 + 5.13456i 0.307897 + 0.674201i
\(59\) 9.97475 + 2.92885i 1.29860 + 0.381304i 0.856726 0.515772i \(-0.172495\pi\)
0.441876 + 0.897076i \(0.354313\pi\)
\(60\) 1.34707 1.89169i 0.173906 0.244216i
\(61\) −0.0373233 0.0293513i −0.00477875 0.00375805i 0.615767 0.787928i \(-0.288846\pi\)
−0.620546 + 0.784170i \(0.713089\pi\)
\(62\) −0.301423 2.09645i −0.0382808 0.266249i
\(63\) 1.11085 + 0.214099i 0.139954 + 0.0269739i
\(64\) 6.98580 + 4.48950i 0.873225 + 0.561188i
\(65\) −1.55053 0.148058i −0.192320 0.0183643i
\(66\) −2.88535 −0.355162
\(67\) 8.17194 0.468392i 0.998361 0.0572232i
\(68\) 0.505266 0.0612725
\(69\) −4.73847 0.452469i −0.570445 0.0544709i
\(70\) −3.25810 2.09385i −0.389417 0.250263i
\(71\) −12.8385 2.47443i −1.52365 0.293660i −0.642425 0.766349i \(-0.722071\pi\)
−0.881230 + 0.472689i \(0.843284\pi\)
\(72\) −0.437453 3.04255i −0.0515544 0.358569i
\(73\) −0.950240 0.747277i −0.111217 0.0874622i 0.561002 0.827815i \(-0.310416\pi\)
−0.672219 + 0.740353i \(0.734659\pi\)
\(74\) −7.70651 + 10.8223i −0.895864 + 1.25806i
\(75\) 4.24538 + 1.24656i 0.490214 + 0.143940i
\(76\) −1.24022 2.71571i −0.142263 0.311514i
\(77\) −0.139279 2.92383i −0.0158723 0.333201i
\(78\) −0.444736 + 0.349744i −0.0503564 + 0.0396007i
\(79\) 0.693158 + 0.660925i 0.0779863 + 0.0743598i 0.728070 0.685503i \(-0.240418\pi\)
−0.650084 + 0.759863i \(0.725266\pi\)
\(80\) −1.38590 + 5.71277i −0.154949 + 0.638707i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 3.29342 7.21159i 0.363698 0.796387i
\(83\) 5.90078 + 2.36232i 0.647695 + 0.259298i 0.672164 0.740403i \(-0.265365\pi\)
−0.0244686 + 0.999701i \(0.507789\pi\)
\(84\) 0.840316 0.161958i 0.0916860 0.0176710i
\(85\) 0.670660 + 1.93774i 0.0727433 + 0.210178i
\(86\) −2.49514 3.50393i −0.269058 0.377838i
\(87\) 0.240852 5.05610i 0.0258220 0.542071i
\(88\) −7.38364 + 2.95596i −0.787098 + 0.315107i
\(89\) 1.69546 1.08961i 0.179719 0.115498i −0.447688 0.894190i \(-0.647753\pi\)
0.627407 + 0.778692i \(0.284116\pi\)
\(90\) 3.04286 1.56871i 0.320746 0.165356i
\(91\) −0.375877 0.433785i −0.0394026 0.0454730i
\(92\) −3.45492 + 1.01446i −0.360201 + 0.105764i
\(93\) −0.621205 + 1.79486i −0.0644160 + 0.186118i
\(94\) 1.72477 11.9961i 0.177897 1.23730i
\(95\) 8.76883 8.36106i 0.899663 0.857827i
\(96\) −2.00618 3.47481i −0.204755 0.354647i
\(97\) −7.91937 + 13.7168i −0.804090 + 1.39273i 0.112813 + 0.993616i \(0.464014\pi\)
−0.916904 + 0.399109i \(0.869320\pi\)
\(98\) 1.50386 + 6.19899i 0.151913 + 0.626192i
\(99\) 2.29980 + 1.18563i 0.231139 + 0.119160i
\(100\) 3.33189 0.318157i 0.333189 0.0318157i
\(101\) 8.99744 0.859152i 0.895279 0.0854888i 0.362736 0.931892i \(-0.381843\pi\)
0.532543 + 0.846403i \(0.321237\pi\)
\(102\) 0.662039 + 0.341305i 0.0655516 + 0.0337942i
\(103\) −3.31713 13.6734i −0.326846 1.34728i −0.863871 0.503713i \(-0.831967\pi\)
0.537025 0.843566i \(-0.319548\pi\)
\(104\) −0.779780 + 1.35062i −0.0764637 + 0.132439i
\(105\) 1.73651 + 3.00772i 0.169466 + 0.293524i
\(106\) 3.30972 3.15581i 0.321468 0.306519i
\(107\) −2.77325 + 19.2884i −0.268100 + 1.86468i 0.198350 + 0.980131i \(0.436442\pi\)
−0.466450 + 0.884547i \(0.654467\pi\)
\(108\) −0.247415 + 0.714857i −0.0238075 + 0.0687872i
\(109\) 0.211587 0.0621277i 0.0202664 0.00595075i −0.271584 0.962415i \(-0.587547\pi\)
0.291850 + 0.956464i \(0.405729\pi\)
\(110\) −5.80068 6.69434i −0.553073 0.638280i
\(111\) 10.5896 5.45931i 1.00512 0.518175i
\(112\) −1.82236 + 1.17116i −0.172197 + 0.110664i
\(113\) −7.15365 + 2.86389i −0.672959 + 0.269412i −0.682871 0.730539i \(-0.739269\pi\)
0.00991233 + 0.999951i \(0.496845\pi\)
\(114\) 0.209412 4.39611i 0.0196133 0.411733i
\(115\) −8.47641 11.9034i −0.790429 1.11000i
\(116\) −1.25237 3.61849i −0.116280 0.335968i
\(117\) 0.498196 0.0960195i 0.0460583 0.00887701i
\(118\) 10.7624 + 4.30862i 0.990761 + 0.396641i
\(119\) −0.313899 + 0.687344i −0.0287751 + 0.0630087i
\(120\) 6.17963 7.13167i 0.564120 0.651029i
\(121\) −1.01499 + 4.18385i −0.0922719 + 0.380350i
\(122\) −0.0383209 0.0365389i −0.00346942 0.00330808i
\(123\) −5.58840 + 4.39477i −0.503889 + 0.396263i
\(124\) 0.0683638 + 1.43513i 0.00613925 + 0.128879i
\(125\) −0.733799 1.60680i −0.0656330 0.143716i
\(126\) 1.21045 + 0.355420i 0.107835 + 0.0316634i
\(127\) 7.51020 10.5466i 0.666423 0.935859i −0.333554 0.942731i \(-0.608248\pi\)
0.999976 + 0.00687157i \(0.00218731\pi\)
\(128\) 0.971112 + 0.763691i 0.0858350 + 0.0675014i
\(129\) 0.548965 + 3.81813i 0.0483337 + 0.336168i
\(130\) −1.70554 0.328716i −0.149586 0.0288303i
\(131\) 0.400015 + 0.257074i 0.0349495 + 0.0224607i 0.557999 0.829842i \(-0.311569\pi\)
−0.523049 + 0.852302i \(0.675206\pi\)
\(132\) 1.94843 + 0.186053i 0.169589 + 0.0161938i
\(133\) 4.46485 0.387151
\(134\) 9.12125 + 0.346275i 0.787956 + 0.0299136i
\(135\) −3.06995 −0.264219
\(136\) 2.04382 + 0.195161i 0.175256 + 0.0167350i
\(137\) −7.53990 4.84560i −0.644177 0.413988i 0.177357 0.984147i \(-0.443245\pi\)
−0.821534 + 0.570159i \(0.806882\pi\)
\(138\) −5.21217 1.00456i −0.443690 0.0855142i
\(139\) −1.34912 9.38330i −0.114430 0.795881i −0.963521 0.267634i \(-0.913758\pi\)
0.849090 0.528248i \(-0.177151\pi\)
\(140\) 2.06513 + 1.62403i 0.174535 + 0.137256i
\(141\) −6.30410 + 8.85286i −0.530901 + 0.745546i
\(142\) −13.9897 4.10773i −1.17399 0.344713i
\(143\) −0.545345 1.19414i −0.0456041 0.0998590i
\(144\) −0.0911118 1.91267i −0.00759265 0.159389i
\(145\) 12.2149 9.60594i 1.01440 0.797730i
\(146\) −0.975641 0.930272i −0.0807446 0.0769898i
\(147\) 1.34858 5.55893i 0.111229 0.458493i
\(148\) 5.90193 6.81119i 0.485136 0.559876i
\(149\) −7.18815 + 15.7399i −0.588876 + 1.28946i 0.347243 + 0.937775i \(0.387118\pi\)
−0.936119 + 0.351684i \(0.885609\pi\)
\(150\) 4.58062 + 1.83380i 0.374006 + 0.149730i
\(151\) −16.0322 + 3.08996i −1.30469 + 0.251457i −0.793793 0.608188i \(-0.791897\pi\)
−0.510892 + 0.859645i \(0.670685\pi\)
\(152\) −3.96781 11.4642i −0.321831 0.929871i
\(153\) −0.387439 0.544082i −0.0313226 0.0439864i
\(154\) 0.155316 3.26048i 0.0125157 0.262737i
\(155\) −5.41314 + 2.16709i −0.434794 + 0.174065i
\(156\) 0.322875 0.207499i 0.0258507 0.0166132i
\(157\) 2.47158 1.27419i 0.197253 0.101691i −0.356770 0.934192i \(-0.616122\pi\)
0.554024 + 0.832501i \(0.313092\pi\)
\(158\) 0.699410 + 0.807162i 0.0556420 + 0.0642143i
\(159\) −3.93481 + 1.15537i −0.312051 + 0.0916265i
\(160\) 4.02875 11.6403i 0.318501 0.920247i
\(161\) 0.766365 5.33018i 0.0603980 0.420077i
\(162\) −0.807065 + 0.769535i −0.0634090 + 0.0604604i
\(163\) 4.60259 + 7.97193i 0.360503 + 0.624410i 0.988044 0.154174i \(-0.0492717\pi\)
−0.627541 + 0.778584i \(0.715938\pi\)
\(164\) −2.68901 + 4.65751i −0.209977 + 0.363690i
\(165\) 1.87270 + 7.71938i 0.145790 + 0.600953i
\(166\) 6.30000 + 3.24787i 0.488975 + 0.252084i
\(167\) −6.83635 + 0.652793i −0.529013 + 0.0505146i −0.356146 0.934431i \(-0.615909\pi\)
−0.172867 + 0.984945i \(0.555303\pi\)
\(168\) 3.46167 0.330550i 0.267074 0.0255025i
\(169\) 11.3261 + 5.83899i 0.871235 + 0.449153i
\(170\) 0.539091 + 2.22216i 0.0413464 + 0.170432i
\(171\) −1.97333 + 3.41792i −0.150905 + 0.261375i
\(172\) 1.45899 + 2.52704i 0.111247 + 0.192685i
\(173\) −17.0215 + 16.2299i −1.29412 + 1.23394i −0.337937 + 0.941169i \(0.609729\pi\)
−0.956182 + 0.292771i \(0.905423\pi\)
\(174\) 0.803319 5.58720i 0.0608994 0.423565i
\(175\) −1.63715 + 4.73024i −0.123757 + 0.357572i
\(176\) −4.75382 + 1.39585i −0.358333 + 0.105216i
\(177\) −6.80784 7.85667i −0.511709 0.590543i
\(178\) 1.99762 1.02984i 0.149728 0.0771899i
\(179\) −13.7072 + 8.80909i −1.02452 + 0.658422i −0.941113 0.338093i \(-0.890218\pi\)
−0.0834122 + 0.996515i \(0.526582\pi\)
\(180\) −2.15595 + 0.863113i −0.160695 + 0.0643326i
\(181\) −0.906372 + 19.0271i −0.0673701 + 1.41427i 0.671789 + 0.740742i \(0.265526\pi\)
−0.739159 + 0.673531i \(0.764777\pi\)
\(182\) −0.371276 0.521384i −0.0275208 0.0386475i
\(183\) 0.0155298 + 0.0448704i 0.00114800 + 0.00331692i
\(184\) −14.3672 + 2.76904i −1.05916 + 0.204137i
\(185\) 33.9555 + 13.5937i 2.49646 + 0.999430i
\(186\) −0.879851 + 1.92660i −0.0645138 + 0.141265i
\(187\) −1.13175 + 1.30611i −0.0827617 + 0.0955121i
\(188\) −1.93824 + 7.98954i −0.141361 + 0.582697i
\(189\) −0.818756 0.780683i −0.0595558 0.0567863i
\(190\) 10.6205 8.35203i 0.770490 0.605920i
\(191\) −0.350161 7.35078i −0.0253367 0.531884i −0.975482 0.220077i \(-0.929369\pi\)
0.950146 0.311806i \(-0.100934\pi\)
\(192\) −3.44962 7.55362i −0.248955 0.545135i
\(193\) 9.98525 + 2.93193i 0.718754 + 0.211045i 0.620601 0.784126i \(-0.286888\pi\)
0.0981526 + 0.995171i \(0.468707\pi\)
\(194\) −10.2452 + 14.3874i −0.735563 + 1.03295i
\(195\) 1.22435 + 0.962836i 0.0876772 + 0.0689502i
\(196\) −0.615810 4.28305i −0.0439864 0.305932i
\(197\) 13.1116 + 2.52705i 0.934160 + 0.180045i 0.633549 0.773702i \(-0.281597\pi\)
0.300611 + 0.953747i \(0.402809\pi\)
\(198\) 2.42731 + 1.55994i 0.172501 + 0.110860i
\(199\) 27.5370 + 2.62946i 1.95204 + 0.186398i 0.994720 0.102623i \(-0.0327234\pi\)
0.957323 + 0.289020i \(0.0933295\pi\)
\(200\) 13.6005 0.961704
\(201\) −7.12791 4.02405i −0.502764 0.283834i
\(202\) 10.0791 0.709160
\(203\) 5.70050 + 0.544332i 0.400097 + 0.0382046i
\(204\) −0.425057 0.273167i −0.0297599 0.0191255i
\(205\) −21.4312 4.13053i −1.49682 0.288489i
\(206\) −2.23292 15.5303i −0.155575 1.08205i
\(207\) 3.74163 + 2.94245i 0.260062 + 0.204515i
\(208\) −0.563539 + 0.791380i −0.0390744 + 0.0548723i
\(209\) 9.79809 + 2.87698i 0.677748 + 0.199005i
\(210\) 1.60886 + 3.52292i 0.111022 + 0.243104i
\(211\) 0.864631 + 18.1508i 0.0595236 + 1.24955i 0.809114 + 0.587652i \(0.199948\pi\)
−0.749590 + 0.661903i \(0.769749\pi\)
\(212\) −2.43849 + 1.91765i −0.167476 + 0.131705i
\(213\) 9.46269 + 9.02266i 0.648373 + 0.618222i
\(214\) −5.12315 + 21.1179i −0.350211 + 1.44359i
\(215\) −7.75488 + 8.94961i −0.528878 + 0.610358i
\(216\) −1.27692 + 2.79607i −0.0868834 + 0.190248i
\(217\) −1.99477 0.798586i −0.135414 0.0542115i
\(218\) 0.241467 0.0465389i 0.0163542 0.00315201i
\(219\) 0.395384 + 1.14239i 0.0267176 + 0.0771954i
\(220\) 3.48544 + 4.89462i 0.234989 + 0.329995i
\(221\) −0.0161248 + 0.338502i −0.00108467 + 0.0227701i
\(222\) 12.3341 4.93783i 0.827811 0.331405i
\(223\) 3.34623 2.15049i 0.224080 0.144007i −0.423785 0.905763i \(-0.639299\pi\)
0.647865 + 0.761756i \(0.275662\pi\)
\(224\) 4.03458 2.07997i 0.269571 0.138974i
\(225\) −2.89750 3.34390i −0.193167 0.222926i
\(226\) −8.24478 + 2.42089i −0.548434 + 0.161035i
\(227\) 2.99544 8.65476i 0.198814 0.574436i −0.800888 0.598814i \(-0.795639\pi\)
0.999703 + 0.0243772i \(0.00776026\pi\)
\(228\) −0.424882 + 2.95512i −0.0281385 + 0.195707i
\(229\) −9.46540 + 9.02524i −0.625491 + 0.596405i −0.935067 0.354470i \(-0.884661\pi\)
0.309576 + 0.950875i \(0.399813\pi\)
\(230\) −8.14781 14.1124i −0.537250 0.930545i
\(231\) −1.46357 + 2.53498i −0.0962960 + 0.166790i
\(232\) −3.66824 15.1207i −0.240832 0.992722i
\(233\) −22.6462 11.6749i −1.48360 0.764851i −0.489369 0.872077i \(-0.662773\pi\)
−0.994235 + 0.107226i \(0.965803\pi\)
\(234\) 0.563221 0.0537811i 0.0368189 0.00351578i
\(235\) −33.2134 + 3.17149i −2.16660 + 0.206885i
\(236\) −6.98987 3.60353i −0.455002 0.234570i
\(237\) −0.225799 0.930755i −0.0146672 0.0604590i
\(238\) −0.421316 + 0.729741i −0.0273099 + 0.0473021i
\(239\) 4.03617 + 6.99085i 0.261078 + 0.452200i 0.966529 0.256559i \(-0.0825887\pi\)
−0.705451 + 0.708759i \(0.749255\pi\)
\(240\) 4.25445 4.05661i 0.274623 0.261853i
\(241\) −2.33082 + 16.2112i −0.150141 + 1.04425i 0.765839 + 0.643032i \(0.222324\pi\)
−0.915981 + 0.401223i \(0.868585\pi\)
\(242\) −1.57022 + 4.53686i −0.100938 + 0.291641i
\(243\) 0.959493 0.281733i 0.0615515 0.0180732i
\(244\) 0.0235214 + 0.0271452i 0.00150581 + 0.00173779i
\(245\) 15.6085 8.04676i 0.997193 0.514089i
\(246\) −6.66948 + 4.28622i −0.425231 + 0.273279i
\(247\) 1.85897 0.744218i 0.118283 0.0473535i
\(248\) −0.277793 + 5.83158i −0.0176398 + 0.370306i
\(249\) −3.68689 5.17751i −0.233647 0.328111i
\(250\) −0.644262 1.86147i −0.0407467 0.117730i
\(251\) 7.85965 1.51482i 0.496097 0.0956148i 0.0649351 0.997889i \(-0.479316\pi\)
0.431162 + 0.902275i \(0.358104\pi\)
\(252\) −0.794480 0.318062i −0.0500475 0.0200360i
\(253\) 5.11635 11.2032i 0.321662 0.704342i
\(254\) 9.45495 10.9116i 0.593257 0.684655i
\(255\) 0.483429 1.99272i 0.0302735 0.124789i
\(256\) −11.0228 10.5102i −0.688922 0.656886i
\(257\) −2.63851 + 2.07495i −0.164586 + 0.129432i −0.697055 0.717018i \(-0.745507\pi\)
0.532469 + 0.846449i \(0.321264\pi\)
\(258\) 0.204675 + 4.29667i 0.0127425 + 0.267499i
\(259\) 5.59907 + 12.2602i 0.347909 + 0.761815i
\(260\) 1.13053 + 0.331953i 0.0701124 + 0.0205869i
\(261\) −2.93615 + 4.12325i −0.181743 + 0.255223i
\(262\) 0.416803 + 0.327777i 0.0257502 + 0.0202502i
\(263\) −0.968065 6.73304i −0.0596934 0.415177i −0.997655 0.0684386i \(-0.978198\pi\)
0.937962 0.346738i \(-0.112711\pi\)
\(264\) 7.80962 + 1.50518i 0.480649 + 0.0926375i
\(265\) −10.5911 6.80648i −0.650606 0.418119i
\(266\) 4.95638 + 0.473277i 0.303895 + 0.0290185i
\(267\) −2.01540 −0.123340
\(268\) −6.13711 0.821989i −0.374883 0.0502110i
\(269\) 1.86787 0.113886 0.0569431 0.998377i \(-0.481865\pi\)
0.0569431 + 0.998377i \(0.481865\pi\)
\(270\) −3.40793 0.325417i −0.207400 0.0198043i
\(271\) 26.0874 + 16.7654i 1.58470 + 1.01842i 0.973997 + 0.226563i \(0.0727489\pi\)
0.610702 + 0.791861i \(0.290887\pi\)
\(272\) 1.25587 + 0.242049i 0.0761484 + 0.0146764i
\(273\) 0.0816858 + 0.568137i 0.00494385 + 0.0343852i
\(274\) −7.85634 6.17829i −0.474619 0.373244i
\(275\) −6.64070 + 9.32556i −0.400449 + 0.562353i
\(276\) 3.45492 + 1.01446i 0.207962 + 0.0610632i
\(277\) −13.7624 30.1355i −0.826902 1.81066i −0.501794 0.864987i \(-0.667326\pi\)
−0.325108 0.945677i \(-0.605401\pi\)
\(278\) −0.503003 10.5593i −0.0301681 0.633306i
\(279\) 1.49296 1.17408i 0.0893814 0.0702903i
\(280\) 7.72624 + 7.36695i 0.461731 + 0.440259i
\(281\) 5.47227 22.5570i 0.326448 1.34564i −0.538012 0.842937i \(-0.680825\pi\)
0.864460 0.502701i \(-0.167660\pi\)
\(282\) −7.93653 + 9.15924i −0.472614 + 0.545425i
\(283\) 12.4576 27.2783i 0.740527 1.62153i −0.0421598 0.999111i \(-0.513424\pi\)
0.782686 0.622416i \(-0.213849\pi\)
\(284\) 9.18212 + 3.67597i 0.544859 + 0.218128i
\(285\) −11.8971 + 2.29298i −0.704725 + 0.135825i
\(286\) −0.478803 1.38341i −0.0283122 0.0818028i
\(287\) −4.66533 6.55153i −0.275386 0.386725i
\(288\) −0.190916 + 4.00782i −0.0112498 + 0.236163i
\(289\) −15.3681 + 6.15245i −0.904005 + 0.361909i
\(290\) 14.5779 9.36867i 0.856046 0.550147i
\(291\) 14.0780 7.25773i 0.825269 0.425456i
\(292\) 0.598849 + 0.691109i 0.0350450 + 0.0404441i
\(293\) 18.4964 5.43104i 1.08057 0.317285i 0.307465 0.951559i \(-0.400519\pi\)
0.773108 + 0.634275i \(0.218701\pi\)
\(294\) 2.08630 6.02797i 0.121675 0.351558i
\(295\) 4.54195 31.5899i 0.264442 1.83924i
\(296\) 26.5044 25.2719i 1.54054 1.46890i
\(297\) −1.29372 2.24078i −0.0750690 0.130023i
\(298\) −9.64794 + 16.7107i −0.558890 + 0.968026i
\(299\) −0.569375 2.34700i −0.0329278 0.135730i
\(300\) −2.97498 1.53371i −0.171760 0.0885486i
\(301\) −4.34409 + 0.414811i −0.250389 + 0.0239093i
\(302\) −18.1248 + 1.73071i −1.04296 + 0.0995910i
\(303\) −8.03362 4.14162i −0.461520 0.237930i
\(304\) −1.78169 7.34422i −0.102187 0.421220i
\(305\) −0.0728835 + 0.126238i −0.00417330 + 0.00722837i
\(306\) −0.372419 0.645049i −0.0212898 0.0368750i
\(307\) 1.76280 1.68083i 0.100608 0.0959298i −0.638106 0.769949i \(-0.720282\pi\)
0.738714 + 0.674019i \(0.235433\pi\)
\(308\) −0.315124 + 2.19174i −0.0179559 + 0.124886i
\(309\) −4.60185 + 13.2962i −0.261790 + 0.756392i
\(310\) −6.23879 + 1.83187i −0.354339 + 0.104043i
\(311\) −2.69423 3.10930i −0.152776 0.176312i 0.674203 0.738546i \(-0.264487\pi\)
−0.826978 + 0.562234i \(0.809942\pi\)
\(312\) 1.38619 0.714632i 0.0784777 0.0404581i
\(313\) −14.4203 + 9.26733i −0.815081 + 0.523821i −0.880505 0.474037i \(-0.842796\pi\)
0.0654240 + 0.997858i \(0.479160\pi\)
\(314\) 2.87874 1.15247i 0.162457 0.0650379i
\(315\) 0.165253 3.46909i 0.00931095 0.195461i
\(316\) −0.420253 0.590163i −0.0236411 0.0331993i
\(317\) −5.40947 15.6296i −0.303826 0.877848i −0.988796 0.149276i \(-0.952306\pi\)
0.684969 0.728572i \(-0.259816\pi\)
\(318\) −4.49047 + 0.865467i −0.251813 + 0.0485330i
\(319\) 12.1590 + 4.86772i 0.680772 + 0.272540i
\(320\) 10.5902 23.1892i 0.592009 1.29632i
\(321\) 12.7611 14.7271i 0.712255 0.821986i
\(322\) 1.41574 5.83575i 0.0788960 0.325214i
\(323\) −1.90784 1.81912i −0.106155 0.101219i
\(324\) 0.594619 0.467614i 0.0330344 0.0259785i
\(325\) 0.106816 + 2.24235i 0.00592510 + 0.124383i
\(326\) 4.26427 + 9.33744i 0.236176 + 0.517153i
\(327\) −0.211587 0.0621277i −0.0117008 0.00343567i
\(328\) −12.6762 + 17.8012i −0.699924 + 0.982906i
\(329\) −9.66451 7.60026i −0.532822 0.419016i
\(330\) 1.26061 + 8.76772i 0.0693942 + 0.482647i
\(331\) 16.7752 + 3.23315i 0.922047 + 0.177710i 0.628119 0.778118i \(-0.283825\pi\)
0.293928 + 0.955828i \(0.405037\pi\)
\(332\) −4.04486 2.59947i −0.221991 0.142665i
\(333\) −11.8601 1.13250i −0.649927 0.0620605i
\(334\) −7.65817 −0.419036
\(335\) −4.99362 24.6275i −0.272831 1.34554i
\(336\) 2.16625 0.118179
\(337\) 31.1872 + 2.97801i 1.69887 + 0.162223i 0.899001 0.437946i \(-0.144294\pi\)
0.799873 + 0.600169i \(0.204900\pi\)
\(338\) 11.9540 + 7.68238i 0.650213 + 0.417866i
\(339\) 7.56637 + 1.45830i 0.410949 + 0.0792039i
\(340\) −0.220750 1.53535i −0.0119719 0.0832662i
\(341\) −3.86294 3.03785i −0.209190 0.164509i
\(342\) −2.55288 + 3.58502i −0.138044 + 0.193856i
\(343\) 13.8074 + 4.05421i 0.745527 + 0.218907i
\(344\) 4.92559 + 10.7855i 0.265570 + 0.581517i
\(345\) 0.695317 + 14.5965i 0.0374346 + 0.785850i
\(346\) −20.6158 + 16.2124i −1.10831 + 0.871585i
\(347\) −6.94764 6.62456i −0.372969 0.355625i 0.480293 0.877108i \(-0.340530\pi\)
−0.853262 + 0.521483i \(0.825379\pi\)
\(348\) −0.902742 + 3.72115i −0.0483920 + 0.199475i
\(349\) 1.09342 1.26188i 0.0585295 0.0675467i −0.725730 0.687980i \(-0.758498\pi\)
0.784259 + 0.620433i \(0.213043\pi\)
\(350\) −2.31879 + 5.07745i −0.123945 + 0.271401i
\(351\) −0.471022 0.188569i −0.0251413 0.0100650i
\(352\) 10.1941 1.96475i 0.543348 0.104722i
\(353\) −0.822430 2.37626i −0.0437736 0.126475i 0.920996 0.389573i \(-0.127377\pi\)
−0.964769 + 0.263097i \(0.915256\pi\)
\(354\) −6.72451 9.44325i −0.357404 0.501903i
\(355\) −1.90989 + 40.0936i −0.101367 + 2.12795i
\(356\) −1.41536 + 0.566626i −0.0750142 + 0.0300311i
\(357\) 0.635675 0.408524i 0.0336435 0.0216214i
\(358\) −16.1500 + 8.32591i −0.853555 + 0.440038i
\(359\) −4.73604 5.46569i −0.249959 0.288468i 0.616879 0.787058i \(-0.288397\pi\)
−0.866838 + 0.498590i \(0.833851\pi\)
\(360\) −9.05430 + 2.65858i −0.477204 + 0.140120i
\(361\) 1.11981 3.23549i 0.0589376 0.170289i
\(362\) −3.02304 + 21.0257i −0.158888 + 1.10509i
\(363\) 3.11582 2.97093i 0.163538 0.155933i
\(364\) 0.217097 + 0.376023i 0.0113790 + 0.0197090i
\(365\) −1.85559 + 3.21398i −0.0971263 + 0.168228i
\(366\) 0.0124832 + 0.0514564i 0.000652507 + 0.00268967i
\(367\) −8.88473 4.58040i −0.463779 0.239095i 0.210468 0.977601i \(-0.432501\pi\)
−0.674247 + 0.738506i \(0.735532\pi\)
\(368\) −9.07342 + 0.866407i −0.472985 + 0.0451646i
\(369\) 7.07725 0.675796i 0.368427 0.0351805i
\(370\) 36.2527 + 18.6896i 1.88469 + 0.971624i
\(371\) −1.09377 4.50858i −0.0567857 0.234074i
\(372\) 0.718380 1.24427i 0.0372463 0.0645125i
\(373\) −11.5365 19.9817i −0.597335 1.03461i −0.993213 0.116311i \(-0.962893\pi\)
0.395878 0.918303i \(-0.370440\pi\)
\(374\) −1.39479 + 1.32993i −0.0721230 + 0.0687692i
\(375\) −0.251388 + 1.74844i −0.0129816 + 0.0902893i
\(376\) −10.9263 + 31.5694i −0.563479 + 1.62807i
\(377\) 2.46417 0.723545i 0.126911 0.0372645i
\(378\) −0.826141 0.953418i −0.0424921 0.0490385i
\(379\) −11.8437 + 6.10584i −0.608369 + 0.313636i −0.734742 0.678347i \(-0.762697\pi\)
0.126373 + 0.991983i \(0.459666\pi\)
\(380\) −7.71039 + 4.95517i −0.395535 + 0.254195i
\(381\) −12.0199 + 4.81204i −0.615798 + 0.246528i
\(382\) 0.390478 8.19715i 0.0199786 0.419403i
\(383\) 5.85709 + 8.22513i 0.299283 + 0.420285i 0.936645 0.350280i \(-0.113914\pi\)
−0.637362 + 0.770565i \(0.719974\pi\)
\(384\) −0.404069 1.16748i −0.0206200 0.0595777i
\(385\) −8.82381 + 1.70065i −0.449703 + 0.0866731i
\(386\) 10.7737 + 4.31316i 0.548369 + 0.219534i
\(387\) 1.60242 3.50881i 0.0814556 0.178363i
\(388\) 7.84615 9.05494i 0.398328 0.459695i
\(389\) 1.56400 6.44689i 0.0792978 0.326870i −0.918321 0.395836i \(-0.870455\pi\)
0.997619 + 0.0689660i \(0.0219700\pi\)
\(390\) 1.25707 + 1.19862i 0.0636544 + 0.0606944i
\(391\) −2.49916 + 1.96536i −0.126388 + 0.0993926i
\(392\) −0.836628 17.5630i −0.0422561 0.887065i
\(393\) −0.197529 0.432529i −0.00996403 0.0218182i
\(394\) 14.2872 + 4.19509i 0.719777 + 0.211345i
\(395\) 1.70551 2.39506i 0.0858137 0.120509i
\(396\) −1.53854 1.20992i −0.0773144 0.0608007i
\(397\) −2.20037 15.3039i −0.110433 0.768081i −0.967499 0.252874i \(-0.918624\pi\)
0.857066 0.515207i \(-0.172285\pi\)
\(398\) 30.2898 + 5.83788i 1.51829 + 0.292627i
\(399\) −3.75607 2.41388i −0.188039 0.120845i
\(400\) 8.43406 + 0.805355i 0.421703 + 0.0402677i
\(401\) −13.9246 −0.695359 −0.347679 0.937613i \(-0.613030\pi\)
−0.347679 + 0.937613i \(0.613030\pi\)
\(402\) −7.48607 5.22262i −0.373371 0.260481i
\(403\) −0.963647 −0.0480027
\(404\) −6.80623 0.649916i −0.338622 0.0323345i
\(405\) 2.58261 + 1.65974i 0.128331 + 0.0824732i
\(406\) 6.27037 + 1.20852i 0.311193 + 0.0599776i
\(407\) 4.38709 + 30.5129i 0.217460 + 1.51247i
\(408\) −1.61386 1.26915i −0.0798980 0.0628325i
\(409\) 7.19131 10.0988i 0.355587 0.499352i −0.597575 0.801813i \(-0.703869\pi\)
0.953162 + 0.302461i \(0.0978082\pi\)
\(410\) −23.3528 6.85700i −1.15331 0.338643i
\(411\) 3.72324 + 8.15276i 0.183654 + 0.402146i
\(412\) 0.506434 + 10.6314i 0.0249502 + 0.523770i
\(413\) 9.24460 7.27003i 0.454897 0.357735i
\(414\) 3.84165 + 3.66301i 0.188807 + 0.180027i
\(415\) 4.60033 18.9628i 0.225822 0.930849i
\(416\) 1.33312 1.53851i 0.0653618 0.0754315i
\(417\) −3.93805 + 8.62312i −0.192847 + 0.422276i
\(418\) 10.5718 + 4.23231i 0.517084 + 0.207009i
\(419\) −24.7582 + 4.77175i −1.20952 + 0.233115i −0.753856 0.657039i \(-0.771809\pi\)
−0.455659 + 0.890154i \(0.650596\pi\)
\(420\) −0.859276 2.48271i −0.0419284 0.121144i
\(421\) 7.28472 + 10.2300i 0.355036 + 0.498578i 0.953011 0.302937i \(-0.0979672\pi\)
−0.597975 + 0.801515i \(0.704028\pi\)
\(422\) −0.964185 + 20.2407i −0.0469358 + 0.985303i
\(423\) 10.0896 4.03925i 0.490571 0.196395i
\(424\) −10.6045 + 6.81511i −0.515001 + 0.330971i
\(425\) 2.62681 1.35422i 0.127419 0.0656891i
\(426\) 9.54804 + 11.0190i 0.462604 + 0.533873i
\(427\) −0.0515401 + 0.0151335i −0.00249420 + 0.000732363i
\(428\) 4.82130 13.9302i 0.233046 0.673343i
\(429\) −0.186827 + 1.29941i −0.00902009 + 0.0627361i
\(430\) −9.55728 + 9.11285i −0.460893 + 0.439461i
\(431\) 16.4770 + 28.5390i 0.793669 + 1.37468i 0.923681 + 0.383163i \(0.125165\pi\)
−0.130012 + 0.991512i \(0.541502\pi\)
\(432\) −0.957420 + 1.65830i −0.0460639 + 0.0797850i
\(433\) −8.25398 34.0234i −0.396661 1.63506i −0.723748 0.690064i \(-0.757582\pi\)
0.327087 0.944994i \(-0.393933\pi\)
\(434\) −2.12973 1.09795i −0.102230 0.0527033i
\(435\) −15.4692 + 1.47713i −0.741693 + 0.0708231i
\(436\) −0.166060 + 0.0158568i −0.00795282 + 0.000759402i
\(437\) 16.6979 + 8.60836i 0.798769 + 0.411794i
\(438\) 0.317819 + 1.31007i 0.0151860 + 0.0625974i
\(439\) 3.25632 5.64012i 0.155416 0.269188i −0.777795 0.628519i \(-0.783662\pi\)
0.933210 + 0.359331i \(0.116995\pi\)
\(440\) 12.2082 + 21.1452i 0.582003 + 1.00806i
\(441\) −4.13988 + 3.94737i −0.197137 + 0.187970i
\(442\) −0.0537815 + 0.374059i −0.00255813 + 0.0177922i
\(443\) −12.9072 + 37.2928i −0.613237 + 1.77183i 0.0222863 + 0.999752i \(0.492905\pi\)
−0.635524 + 0.772081i \(0.719216\pi\)
\(444\) −8.64743 + 2.53911i −0.410389 + 0.120501i
\(445\) −4.05174 4.67596i −0.192071 0.221662i
\(446\) 3.94257 2.03254i 0.186686 0.0962434i
\(447\) 14.5567 9.35500i 0.688507 0.442476i
\(448\) 8.72138 3.49151i 0.412046 0.164958i
\(449\) −1.01854 + 21.3819i −0.0480681 + 1.00907i 0.838044 + 0.545603i \(0.183699\pi\)
−0.886112 + 0.463471i \(0.846604\pi\)
\(450\) −2.86204 4.01917i −0.134918 0.189465i
\(451\) −6.01648 17.3835i −0.283305 0.818556i
\(452\) 5.72367 1.10315i 0.269219 0.0518877i
\(453\) 15.1577 + 6.06824i 0.712173 + 0.285111i
\(454\) 4.24262 9.29005i 0.199116 0.436004i
\(455\) −1.15392 + 1.33170i −0.0540968 + 0.0624310i
\(456\) −2.86010 + 11.7895i −0.133936 + 0.552093i
\(457\) 8.89097 + 8.47752i 0.415902 + 0.396562i 0.868930 0.494934i \(-0.164808\pi\)
−0.453028 + 0.891496i \(0.649656\pi\)
\(458\) −11.4641 + 9.01549i −0.535684 + 0.421266i
\(459\) 0.0317815 + 0.667176i 0.00148343 + 0.0311411i
\(460\) 4.59209 + 10.0553i 0.214107 + 0.468830i
\(461\) 15.7286 + 4.61833i 0.732553 + 0.215097i 0.626673 0.779282i \(-0.284416\pi\)
0.105879 + 0.994379i \(0.466234\pi\)
\(462\) −1.89341 + 2.65892i −0.0880894 + 0.123704i
\(463\) 14.5198 + 11.4185i 0.674793 + 0.530663i 0.895715 0.444628i \(-0.146664\pi\)
−0.220922 + 0.975291i \(0.570907\pi\)
\(464\) −1.37940 9.59395i −0.0640371 0.445388i
\(465\) 5.72544 + 1.10349i 0.265511 + 0.0511730i
\(466\) −23.9018 15.3608i −1.10723 0.711574i
\(467\) −9.12078 0.870929i −0.422059 0.0403018i −0.118134 0.992998i \(-0.537691\pi\)
−0.303925 + 0.952696i \(0.598297\pi\)
\(468\) −0.383803 −0.0177413
\(469\) 4.93092 7.83802i 0.227689 0.361926i
\(470\) −37.2060 −1.71619
\(471\) −2.76810 0.264322i −0.127547 0.0121793i
\(472\) −26.8824 17.2763i −1.23736 0.795206i
\(473\) −9.80038 1.88887i −0.450622 0.0868503i
\(474\) −0.151996 1.05716i −0.00698142 0.0485568i
\(475\) −13.7264 10.7946i −0.629812 0.495289i
\(476\) 0.331563 0.465615i 0.0151972 0.0213414i
\(477\) 3.93481 + 1.15537i 0.180163 + 0.0529006i
\(478\) 3.73948 + 8.18831i 0.171040 + 0.374525i
\(479\) −1.30776 27.4532i −0.0597529 1.25437i −0.807293 0.590151i \(-0.799068\pi\)
0.747540 0.664217i \(-0.231235\pi\)
\(480\) −9.68243 + 7.61435i −0.441940 + 0.347546i
\(481\) 4.37479 + 4.17136i 0.199473 + 0.190197i
\(482\) −4.30582 + 17.7488i −0.196125 + 0.808437i
\(483\) −3.52642 + 4.06971i −0.160458 + 0.185178i
\(484\) 1.35289 2.96242i 0.0614951 0.134656i
\(485\) 45.1411 + 18.0718i 2.04975 + 0.820597i
\(486\) 1.09499 0.211042i 0.0496697 0.00957305i
\(487\) −6.03457 17.4358i −0.273453 0.790090i −0.995194 0.0979264i \(-0.968779\pi\)
0.721741 0.692163i \(-0.243342\pi\)
\(488\) 0.0846603 + 0.118889i 0.00383239 + 0.00538184i
\(489\) 0.438000 9.19476i 0.0198071 0.415802i
\(490\) 18.1799 7.27812i 0.821282 0.328792i
\(491\) 6.74856 4.33704i 0.304558 0.195728i −0.379430 0.925220i \(-0.623880\pi\)
0.683989 + 0.729492i \(0.260244\pi\)
\(492\) 4.78018 2.46435i 0.215507 0.111102i
\(493\) −2.21406 2.55516i −0.0997163 0.115079i
\(494\) 2.14251 0.629098i 0.0963961 0.0283044i
\(495\) 2.59799 7.50641i 0.116771 0.337388i
\(496\) −0.517583 + 3.59987i −0.0232402 + 0.161639i
\(497\) −10.7051 + 10.2073i −0.480189 + 0.457859i
\(498\) −3.54396 6.13832i −0.158809 0.275065i
\(499\) −10.5982 + 18.3566i −0.474441 + 0.821756i −0.999572 0.0292655i \(-0.990683\pi\)
0.525130 + 0.851022i \(0.324017\pi\)
\(500\) 0.315029 + 1.29857i 0.0140885 + 0.0580737i
\(501\) 6.10403 + 3.14685i 0.272708 + 0.140591i
\(502\) 8.88550 0.848463i 0.396579 0.0378687i
\(503\) −17.9900 + 1.71784i −0.802136 + 0.0765947i −0.488068 0.872806i \(-0.662298\pi\)
−0.314068 + 0.949400i \(0.601692\pi\)
\(504\) −3.09085 1.59345i −0.137678 0.0709777i
\(505\) −6.54169 26.9652i −0.291101 1.19994i
\(506\) 6.86717 11.8943i 0.305283 0.528765i
\(507\) −6.37129 11.0354i −0.282959 0.490099i
\(508\) −7.08838 + 6.75876i −0.314496 + 0.299871i
\(509\) −0.489594 + 3.40520i −0.0217009 + 0.150933i −0.997791 0.0664341i \(-0.978838\pi\)
0.976090 + 0.217367i \(0.0697469\pi\)
\(510\) 0.747880 2.16086i 0.0331167 0.0956843i
\(511\) −1.31220 + 0.385296i −0.0580482 + 0.0170445i
\(512\) −12.7402 14.7030i −0.563044 0.649788i
\(513\) 3.50794 1.80847i 0.154879 0.0798458i
\(514\) −3.14893 + 2.02369i −0.138893 + 0.0892614i
\(515\) −40.1001 + 16.0537i −1.76702 + 0.707409i
\(516\) 0.138843 2.91467i 0.00611221 0.128311i
\(517\) −16.3114 22.9062i −0.717375 1.00741i
\(518\) 4.91588 + 14.2035i 0.215991 + 0.624066i
\(519\) 23.0940 4.45099i 1.01371 0.195377i
\(520\) 4.44482 + 1.77944i 0.194918 + 0.0780335i
\(521\) 6.58046 14.4092i 0.288295 0.631279i −0.708966 0.705243i \(-0.750838\pi\)
0.997261 + 0.0739645i \(0.0235651\pi\)
\(522\) −3.69646 + 4.26595i −0.161790 + 0.186715i
\(523\) 4.10252 16.9108i 0.179391 0.739459i −0.809036 0.587759i \(-0.800010\pi\)
0.988427 0.151700i \(-0.0484747\pi\)
\(524\) −0.260325 0.248219i −0.0113723 0.0108435i
\(525\) 3.93462 3.09422i 0.171721 0.135043i
\(526\) −0.360932 7.57690i −0.0157374 0.330369i
\(527\) 0.527002 + 1.15397i 0.0229566 + 0.0502678i
\(528\) 4.75382 + 1.39585i 0.206884 + 0.0607465i
\(529\) −0.198456 + 0.278692i −0.00862851 + 0.0121170i
\(530\) −11.0356 8.67848i −0.479355 0.376969i
\(531\) 1.47948 + 10.2900i 0.0642042 + 0.446550i
\(532\) −3.31645 0.639194i −0.143786 0.0277126i
\(533\) −3.03447 1.95014i −0.131438 0.0844698i
\(534\) −2.23728 0.213634i −0.0968164 0.00924484i
\(535\) 59.8233 2.58639
\(536\) −24.5074 5.69547i −1.05856 0.246007i
\(537\) 16.2938 0.703129
\(538\) 2.07351 + 0.197996i 0.0893952 + 0.00853621i
\(539\) 12.4510 + 8.00178i 0.536303 + 0.344661i
\(540\) 2.28034 + 0.439499i 0.0981300 + 0.0189130i
\(541\) 2.64377 + 18.3878i 0.113664 + 0.790554i 0.964303 + 0.264802i \(0.0853067\pi\)
−0.850638 + 0.525752i \(0.823784\pi\)
\(542\) 27.1823 + 21.3764i 1.16758 + 0.918194i
\(543\) 11.0493 15.5166i 0.474171 0.665881i
\(544\) −2.57143 0.755041i −0.110249 0.0323721i
\(545\) −0.281230 0.615808i −0.0120466 0.0263783i
\(546\) 0.0304556 + 0.639343i 0.00130338 + 0.0273613i
\(547\) −6.51860 + 5.12628i −0.278715 + 0.219184i −0.747724 0.664009i \(-0.768854\pi\)
0.469009 + 0.883193i \(0.344611\pi\)
\(548\) 4.90688 + 4.67870i 0.209611 + 0.199864i
\(549\) 0.0111943 0.0461434i 0.000477760 0.00196935i
\(550\) −8.36030 + 9.64830i −0.356484 + 0.411405i
\(551\) −8.29891 + 18.1721i −0.353545 + 0.774157i
\(552\) 13.5835 + 5.43801i 0.578152 + 0.231457i
\(553\) 1.06392 0.205054i 0.0452425 0.00871977i
\(554\) −12.0831 34.9119i −0.513363 1.48327i
\(555\) −21.2158 29.7935i −0.900562 1.26466i
\(556\) −0.341215 + 7.16298i −0.0144707 + 0.303778i
\(557\) 21.8421 8.74425i 0.925479 0.370506i 0.140537 0.990075i \(-0.455117\pi\)
0.784942 + 0.619569i \(0.212693\pi\)
\(558\) 1.78178 1.14508i 0.0754287 0.0484751i
\(559\) −1.73955 + 0.896799i −0.0735750 + 0.0379306i
\(560\) 4.35501 + 5.02595i 0.184033 + 0.212385i
\(561\) 1.65822 0.486898i 0.0700102 0.0205569i
\(562\) 8.46578 24.4603i 0.357107 1.03179i
\(563\) 1.09312 7.60280i 0.0460694 0.320420i −0.953735 0.300648i \(-0.902797\pi\)
0.999805 0.0197717i \(-0.00629393\pi\)
\(564\) 5.95002 5.67333i 0.250541 0.238890i
\(565\) 11.8279 + 20.4866i 0.497605 + 0.861878i
\(566\) 16.7206 28.9609i 0.702818 1.21732i
\(567\) 0.266713 + 1.09941i 0.0112009 + 0.0461707i
\(568\) 35.7222 + 18.4161i 1.49887 + 0.772722i
\(569\) −39.3392 + 3.75644i −1.64919 + 0.157478i −0.877845 0.478945i \(-0.841019\pi\)
−0.771340 + 0.636423i \(0.780413\pi\)
\(570\) −13.4500 + 1.28432i −0.563357 + 0.0537941i
\(571\) 21.5215 + 11.0951i 0.900645 + 0.464315i 0.845385 0.534157i \(-0.179371\pi\)
0.0552598 + 0.998472i \(0.482401\pi\)
\(572\) 0.234123 + 0.965069i 0.00978919 + 0.0403516i
\(573\) −3.67956 + 6.37318i −0.153716 + 0.266243i
\(574\) −4.48447 7.76733i −0.187178 0.324202i
\(575\) −15.2428 + 14.5339i −0.635667 + 0.606107i
\(576\) −1.18179 + 8.21951i −0.0492411 + 0.342480i
\(577\) −12.2106 + 35.2802i −0.508334 + 1.46873i 0.340587 + 0.940213i \(0.389374\pi\)
−0.848920 + 0.528521i \(0.822747\pi\)
\(578\) −17.7121 + 5.20075i −0.736727 + 0.216323i
\(579\) −6.81500 7.86493i −0.283222 0.326856i
\(580\) −10.4484 + 5.38651i −0.433845 + 0.223662i
\(581\) 6.04912 3.88753i 0.250960 0.161282i
\(582\) 16.3972 6.56446i 0.679687 0.272106i
\(583\) 0.504886 10.5989i 0.0209102 0.438960i
\(584\) 2.15543 + 3.02688i 0.0891923 + 0.125253i
\(585\) −0.509437 1.47192i −0.0210626 0.0608564i
\(586\) 21.1084 4.06831i 0.871980 0.168060i
\(587\) −29.2709 11.7183i −1.20814 0.483666i −0.321846 0.946792i \(-0.604303\pi\)
−0.886292 + 0.463126i \(0.846728\pi\)
\(588\) −1.79754 + 3.93606i −0.0741293 + 0.162321i
\(589\) 4.90882 5.66508i 0.202264 0.233425i
\(590\) 8.39054 34.5863i 0.345433 1.42389i
\(591\) −9.66393 9.21453i −0.397521 0.379035i
\(592\) 17.9326 14.1023i 0.737024 0.579602i
\(593\) 0.0226919 + 0.476361i 0.000931844 + 0.0195618i 0.999285 0.0377987i \(-0.0120346\pi\)
−0.998354 + 0.0573605i \(0.981732\pi\)
\(594\) −1.19862 2.62460i −0.0491798 0.107689i
\(595\) 2.22578 + 0.653547i 0.0912480 + 0.0267928i
\(596\) 7.59264 10.6624i 0.311007 0.436748i
\(597\) −21.7440 17.0996i −0.889922 0.699842i
\(598\) −0.383274 2.66573i −0.0156733 0.109010i
\(599\) 14.6874 + 2.83077i 0.600112 + 0.115662i 0.480255 0.877129i \(-0.340544\pi\)
0.119857 + 0.992791i \(0.461756\pi\)
\(600\) −11.4415 7.35301i −0.467098 0.300185i
\(601\) −13.0565 1.24674i −0.532586 0.0508558i −0.174701 0.984622i \(-0.555896\pi\)
−0.357885 + 0.933766i \(0.616502\pi\)
\(602\) −4.86631 −0.198336
\(603\) 3.82081 + 7.23888i 0.155595 + 0.294790i
\(604\) 12.3510 0.502554
\(605\) 13.1569 + 1.25633i 0.534905 + 0.0510773i
\(606\) −8.47904 5.44915i −0.344437 0.221356i
\(607\) −38.3105 7.38375i −1.55498 0.299697i −0.661897 0.749595i \(-0.730248\pi\)
−0.893080 + 0.449898i \(0.851460\pi\)
\(608\) 2.25363 + 15.6743i 0.0913966 + 0.635677i
\(609\) −4.50128 3.53984i −0.182401 0.143442i
\(610\) −0.0942887 + 0.132410i −0.00381764 + 0.00536112i
\(611\) −5.29072 1.55350i −0.214040 0.0628477i
\(612\) 0.209895 + 0.459606i 0.00848450 + 0.0185785i
\(613\) −2.02906 42.5953i −0.0819531 1.72041i −0.548702 0.836018i \(-0.684878\pi\)
0.466749 0.884390i \(-0.345425\pi\)
\(614\) 2.13504 1.67901i 0.0861630 0.0677594i
\(615\) 15.7960 + 15.0614i 0.636955 + 0.607335i
\(616\) −2.12126 + 8.74396i −0.0854680 + 0.352304i
\(617\) 2.02225 2.33381i 0.0814129 0.0939555i −0.713582 0.700572i \(-0.752928\pi\)
0.794995 + 0.606617i \(0.207474\pi\)
\(618\) −6.51787 + 14.2721i −0.262187 + 0.574110i
\(619\) −13.6460 5.46304i −0.548480 0.219578i 0.0808366 0.996727i \(-0.474241\pi\)
−0.629316 + 0.777149i \(0.716665\pi\)
\(620\) 4.33108 0.834747i 0.173940 0.0335242i
\(621\) −1.55685 4.49823i −0.0624743 0.180508i
\(622\) −2.66125 3.73720i −0.106706 0.149848i
\(623\) 0.108487 2.27743i 0.00434645 0.0912432i
\(624\) 0.901931 0.361079i 0.0361061 0.0144547i
\(625\) −23.1731 + 14.8924i −0.926923 + 0.595697i
\(626\) −16.9901 + 8.75902i −0.679062 + 0.350081i
\(627\) −6.68726 7.71751i −0.267064 0.308208i
\(628\) −2.01828 + 0.592621i −0.0805383 + 0.0236482i
\(629\) 2.60273 7.52008i 0.103777 0.299845i
\(630\) 0.551172 3.83348i 0.0219592 0.152730i
\(631\) −30.8342 + 29.4003i −1.22749 + 1.17041i −0.248033 + 0.968752i \(0.579784\pi\)
−0.979456 + 0.201657i \(0.935367\pi\)
\(632\) −1.47199 2.54956i −0.0585526 0.101416i
\(633\) 9.08571 15.7369i 0.361124 0.625486i
\(634\) −4.34825 17.9237i −0.172691 0.711842i
\(635\) −35.3292 18.2135i −1.40200 0.722780i
\(636\) 3.08815 0.294883i 0.122453 0.0116929i
\(637\) 2.88907 0.275873i 0.114469 0.0109305i
\(638\) 12.9816 + 6.69247i 0.513946 + 0.264957i
\(639\) −3.08251 12.7063i −0.121942 0.502652i
\(640\) 1.89635 3.28458i 0.0749599 0.129834i
\(641\) 16.3150 + 28.2584i 0.644403 + 1.11614i 0.984439 + 0.175727i \(0.0562275\pi\)
−0.340036 + 0.940413i \(0.610439\pi\)
\(642\) 15.7271 14.9957i 0.620698 0.591834i
\(643\) −2.15710 + 15.0030i −0.0850677 + 0.591659i 0.902046 + 0.431639i \(0.142065\pi\)
−0.987114 + 0.160019i \(0.948844\pi\)
\(644\) −1.33233 + 3.84950i −0.0525010 + 0.151692i
\(645\) 11.3623 3.33628i 0.447392 0.131366i
\(646\) −1.92505 2.22163i −0.0757401 0.0874087i
\(647\) 26.2107 13.5125i 1.03045 0.531233i 0.141834 0.989890i \(-0.454700\pi\)
0.888613 + 0.458658i \(0.151670\pi\)
\(648\) 2.58588 1.66184i 0.101583 0.0652834i
\(649\) 24.9718 9.99718i 0.980227 0.392424i
\(650\) −0.119115 + 2.50053i −0.00467208 + 0.0980790i
\(651\) 1.24636 + 1.75027i 0.0488487 + 0.0685984i
\(652\) −2.27750 6.58040i −0.0891937 0.257708i
\(653\) −1.06462 + 0.205189i −0.0416619 + 0.00802967i −0.210040 0.977693i \(-0.567359\pi\)
0.168378 + 0.985723i \(0.446147\pi\)
\(654\) −0.228296 0.0913958i −0.00892707 0.00357386i
\(655\) 0.606405 1.32784i 0.0236942 0.0518831i
\(656\) −8.91492 + 10.2884i −0.348069 + 0.401693i
\(657\) 0.285003 1.17480i 0.0111190 0.0458333i
\(658\) −9.92285 9.46142i −0.386833 0.368845i
\(659\) −15.9623 + 12.5529i −0.621804 + 0.488992i −0.878654 0.477459i \(-0.841558\pi\)
0.256850 + 0.966451i \(0.417315\pi\)
\(660\) −0.285910 6.00199i −0.0111290 0.233627i
\(661\) 13.0205 + 28.5109i 0.506438 + 1.10894i 0.974323 + 0.225155i \(0.0722890\pi\)
−0.467885 + 0.883790i \(0.654984\pi\)
\(662\) 18.2792 + 5.36727i 0.710443 + 0.208605i
\(663\) 0.196573 0.276048i 0.00763426 0.0107208i
\(664\) −15.3576 12.0773i −0.595990 0.468692i
\(665\) −1.95069 13.5673i −0.0756445 0.526119i
\(666\) −13.0457 2.51435i −0.505511 0.0974292i
\(667\) 20.2696 + 13.0265i 0.784841 + 0.504387i
\(668\) 5.17144 + 0.493813i 0.200089 + 0.0191062i
\(669\) −3.97767 −0.153786
\(670\) −2.93284 27.8681i −0.113306 1.07664i
\(671\) −0.122856 −0.00474280
\(672\) −4.51862 0.431476i −0.174309 0.0166445i
\(673\) 25.1164 + 16.1413i 0.968165 + 0.622202i 0.926246 0.376919i \(-0.123017\pi\)
0.0419190 + 0.999121i \(0.486653\pi\)
\(674\) 34.3049 + 6.61173i 1.32138 + 0.254674i
\(675\) 0.629687 + 4.37957i 0.0242367 + 0.168570i
\(676\) −7.57699 5.95861i −0.291423 0.229177i
\(677\) −18.2403 + 25.6149i −0.701032 + 0.984462i 0.298516 + 0.954405i \(0.403508\pi\)
−0.999548 + 0.0300571i \(0.990431\pi\)
\(678\) 8.24478 + 2.42089i 0.316639 + 0.0929735i
\(679\) 7.44352 + 16.2990i 0.285656 + 0.625500i
\(680\) −0.299908 6.29584i −0.0115009 0.241434i
\(681\) −7.19904 + 5.66139i −0.275868 + 0.216945i
\(682\) −3.96620 3.78176i −0.151874 0.144811i
\(683\) −7.67944 + 31.6551i −0.293845 + 1.21125i 0.613102 + 0.790004i \(0.289921\pi\)
−0.906948 + 0.421244i \(0.861594\pi\)
\(684\) 1.95509 2.25630i 0.0747548 0.0862716i
\(685\) −11.4302 + 25.0286i −0.436724 + 0.956293i
\(686\) 14.8977 + 5.96413i 0.568796 + 0.227711i
\(687\) 12.8422 2.47513i 0.489961 0.0944322i
\(688\) 2.41582 + 6.98006i 0.0921024 + 0.266112i
\(689\) −1.20691 1.69486i −0.0459795 0.0645691i
\(690\) −0.775376 + 16.2772i −0.0295181 + 0.619661i
\(691\) 4.19151 1.67803i 0.159453 0.0638352i −0.290563 0.956856i \(-0.593843\pi\)
0.450016 + 0.893021i \(0.351418\pi\)
\(692\) 14.9669 9.61866i 0.568957 0.365646i
\(693\) 2.60175 1.34130i 0.0988323 0.0509516i
\(694\) −7.01030 8.09032i −0.266107 0.307104i
\(695\) −27.9237 + 8.19913i −1.05920 + 0.311011i
\(696\) −5.08894 + 14.7035i −0.192896 + 0.557336i
\(697\) −0.675800 + 4.70030i −0.0255978 + 0.178036i
\(698\) 1.34756 1.28489i 0.0510058 0.0486339i
\(699\) 12.7393 + 22.0651i 0.481843 + 0.834577i
\(700\) 1.89325 3.27920i 0.0715581 0.123942i
\(701\) −7.63866 31.4870i −0.288508 1.18925i −0.912916 0.408148i \(-0.866175\pi\)
0.624408 0.781099i \(-0.285340\pi\)
\(702\) −0.502888 0.259257i −0.0189803 0.00978502i
\(703\) −46.8077 + 4.46960i −1.76539 + 0.168574i
\(704\) 21.3888 2.04238i 0.806121 0.0769753i
\(705\) 29.6555 + 15.2885i 1.11689 + 0.575797i
\(706\) −0.661087 2.72504i −0.0248803 0.102558i
\(707\) 5.11253 8.85516i 0.192276 0.333033i
\(708\) 3.93204 + 6.81049i 0.147775 + 0.255954i
\(709\) 25.8638 24.6611i 0.971335 0.926166i −0.0259605 0.999663i \(-0.508264\pi\)
0.997295 + 0.0734970i \(0.0234159\pi\)
\(710\) −6.37011 + 44.3051i −0.239066 + 1.66274i
\(711\) −0.313250 + 0.905076i −0.0117478 + 0.0339430i
\(712\) −5.94408 + 1.74534i −0.222764 + 0.0654093i
\(713\) −5.92046 6.83258i −0.221723 0.255882i
\(714\) 0.748961 0.386116i 0.0280292 0.0144500i
\(715\) −3.39038 + 2.17886i −0.126793 + 0.0814848i
\(716\) 11.4427 4.58098i 0.427635 0.171199i
\(717\) 0.384097 8.06319i 0.0143444 0.301125i
\(718\) −4.67807 6.56943i −0.174584 0.245169i
\(719\) −0.724665 2.09378i −0.0270254 0.0780849i 0.930681 0.365831i \(-0.119215\pi\)
−0.957707 + 0.287746i \(0.907094\pi\)
\(720\) −5.77224 + 1.11251i −0.215119 + 0.0414607i
\(721\) −14.7771 5.91587i −0.550329 0.220318i
\(722\) 1.58606 3.47299i 0.0590271 0.129251i
\(723\) 10.7252 12.3776i 0.398876 0.460327i
\(724\) 3.39719 14.0034i 0.126256 0.520433i
\(725\) −16.2092 15.4555i −0.601995 0.574001i
\(726\) 3.77377 2.96772i 0.140058 0.110143i
\(727\) 1.66140 + 34.8771i 0.0616180 + 1.29352i 0.792016 + 0.610500i \(0.209031\pi\)
−0.730398 + 0.683021i \(0.760666\pi\)
\(728\) 0.732926 + 1.60488i 0.0271640 + 0.0594810i
\(729\) −0.959493 0.281733i −0.0355368 0.0104345i
\(730\) −2.40056 + 3.37112i −0.0888489 + 0.124771i
\(731\) 2.02525 + 1.59267i 0.0749066 + 0.0589072i
\(732\) −0.00511170 0.0355526i −0.000188934 0.00131406i
\(733\) 20.1831 + 3.88997i 0.745480 + 0.143679i 0.547826 0.836592i \(-0.315456\pi\)
0.197654 + 0.980272i \(0.436668\pi\)
\(734\) −9.37733 6.02644i −0.346124 0.222440i
\(735\) −17.4811 1.66925i −0.644802 0.0615711i
\(736\) 19.0990 0.703998
\(737\) 15.8714 14.0232i 0.584630 0.516551i
\(738\) 7.92803 0.291835
\(739\) −31.8589 3.04216i −1.17195 0.111908i −0.509132 0.860689i \(-0.670033\pi\)
−0.662817 + 0.748781i \(0.730639\pi\)
\(740\) −23.2757 14.9584i −0.855633 0.549882i
\(741\) −1.96622 0.378957i −0.0722308 0.0139213i
\(742\) −0.736271 5.12088i −0.0270294 0.187993i
\(743\) 15.7939 + 12.4205i 0.579422 + 0.455662i 0.864353 0.502886i \(-0.167728\pi\)
−0.284931 + 0.958548i \(0.591971\pi\)
\(744\) 3.38649 4.75566i 0.124155 0.174351i
\(745\) 50.9693 + 14.9659i 1.86737 + 0.548309i
\(746\) −10.6884 23.4044i −0.391331 0.856896i
\(747\) 0.302435 + 6.34888i 0.0110655 + 0.232293i
\(748\) 1.02764 0.808144i 0.0375742 0.0295487i
\(749\) 15.9549 + 15.2130i 0.582979 + 0.555869i
\(750\) −0.464401 + 1.91429i −0.0169575 + 0.0698998i
\(751\) 26.2396 30.2821i 0.957495 1.10501i −0.0369037 0.999319i \(-0.511749\pi\)
0.994399 0.105690i \(-0.0337051\pi\)
\(752\) −8.64504 + 18.9300i −0.315252 + 0.690306i
\(753\) −7.43094 2.97490i −0.270798 0.108411i
\(754\) 2.81215 0.541997i 0.102412 0.0197384i
\(755\) 16.3940 + 47.3672i 0.596637 + 1.72387i
\(756\) 0.496402 + 0.697099i 0.0180540 + 0.0253532i
\(757\) −1.24380 + 26.1106i −0.0452066 + 0.949004i 0.856364 + 0.516372i \(0.172718\pi\)
−0.901571 + 0.432632i \(0.857585\pi\)
\(758\) −13.7948 + 5.52260i −0.501049 + 0.200590i
\(759\) −10.3611 + 6.65866i −0.376083 + 0.241694i
\(760\) −33.1028 + 17.0657i −1.20077 + 0.619038i
\(761\) −5.24136 6.04886i −0.189999 0.219271i 0.652755 0.757569i \(-0.273613\pi\)
−0.842755 + 0.538298i \(0.819068\pi\)
\(762\) −13.8533 + 4.06769i −0.501851 + 0.147357i
\(763\) 0.0815947 0.235752i 0.00295393 0.00853481i
\(764\) −0.792251 + 5.51023i −0.0286626 + 0.199353i
\(765\) −1.48403 + 1.41502i −0.0536553 + 0.0511602i
\(766\) 5.63003 + 9.75150i 0.203421 + 0.352336i
\(767\) 2.63725 4.56785i 0.0952255 0.164935i
\(768\) 3.59070 + 14.8011i 0.129568 + 0.534088i
\(769\) −11.2941 5.82250i −0.407275 0.209965i 0.242401 0.970176i \(-0.422065\pi\)
−0.649676 + 0.760211i \(0.725095\pi\)
\(770\) −9.97550 + 0.952544i −0.359492 + 0.0343273i
\(771\) 3.34146 0.319070i 0.120340 0.0114910i
\(772\) −6.99722 3.60732i −0.251836 0.129830i
\(773\) −10.7623 44.3628i −0.387093 1.59562i −0.748449 0.663193i \(-0.769201\pi\)
0.361355 0.932428i \(-0.382314\pi\)
\(774\) 2.15077 3.72524i 0.0773078 0.133901i
\(775\) 4.20187 + 7.27784i 0.150935 + 0.261428i
\(776\) 35.2356 33.5970i 1.26488 1.20606i
\(777\) 1.91816 13.3411i 0.0688134 0.478608i
\(778\) 2.41955 6.99084i 0.0867452 0.250634i
\(779\) 26.9221 7.90503i 0.964583 0.283227i
\(780\) −0.771593 0.890466i −0.0276275 0.0318838i
\(781\) −30.0695 + 15.5019i −1.07597 + 0.554701i
\(782\) −2.98262 + 1.91682i −0.106658 + 0.0685452i
\(783\) 4.69925 1.88129i 0.167937 0.0672320i
\(784\) 0.521175 10.9408i 0.0186134 0.390743i
\(785\) −4.95171 6.95370i −0.176734 0.248188i
\(786\) −0.173427 0.501084i −0.00618594 0.0178731i
\(787\) 27.2061 5.24354i 0.969792 0.186912i 0.320330 0.947306i \(-0.396206\pi\)
0.649462 + 0.760394i \(0.274994\pi\)
\(788\) −9.37739 3.75414i −0.334056 0.133736i
\(789\) −2.82577 + 6.18757i −0.100600 + 0.220283i
\(790\) 2.14715 2.47795i 0.0763923 0.0881614i
\(791\) −2.05519 + 8.47160i −0.0730741 + 0.301215i
\(792\) −5.75611 5.48844i −0.204534 0.195023i
\(793\) −0.0189365 + 0.0148918i −0.000672456 + 0.000528825i
\(794\) −0.820384 17.2220i −0.0291143 0.611185i
\(795\) 5.22993 + 11.4520i 0.185487 + 0.406159i
\(796\) −20.0778 5.89537i −0.711639 0.208956i
\(797\) −26.2741 + 36.8968i −0.930677 + 1.30695i 0.0209764 + 0.999780i \(0.493323\pi\)
−0.951654 + 0.307173i \(0.900617\pi\)
\(798\) −3.91370 3.07777i −0.138544 0.108952i
\(799\) 1.03308 + 7.18525i 0.0365478 + 0.254196i
\(800\) −17.4323 3.35981i −0.616326 0.118787i
\(801\) 1.69546 + 1.08961i 0.0599062 + 0.0384994i
\(802\) −15.4575 1.47601i −0.545824 0.0521199i
\(803\) −3.12788 −0.110381
\(804\) 4.71846 + 4.00947i 0.166407 + 0.141403i
\(805\) −16.5317 −0.582665
\(806\) −1.06974 0.102147i −0.0376798 0.00359799i
\(807\) −1.57135 1.00985i −0.0553142 0.0355483i
\(808\) −27.2805 5.25788i −0.959723 0.184971i
\(809\) 5.32448 + 37.0326i 0.187199 + 1.30200i 0.839219 + 0.543794i \(0.183013\pi\)
−0.652020 + 0.758202i \(0.726078\pi\)
\(810\) 2.69100 + 2.11622i 0.0945520 + 0.0743565i
\(811\) −12.1483 + 17.0599i −0.426583 + 0.599053i −0.970799 0.239892i \(-0.922888\pi\)
0.544216 + 0.838945i \(0.316827\pi\)
\(812\) −4.15636 1.22042i −0.145860 0.0428282i
\(813\) −12.8821 28.2079i −0.451795 0.989293i
\(814\) 1.63568 + 34.3371i 0.0573305 + 1.20352i
\(815\) 22.2135 17.4689i 0.778104 0.611907i
\(816\) −0.925645 0.882600i −0.0324040 0.0308972i
\(817\) 3.58916 14.7947i 0.125569 0.517602i
\(818\) 9.05348 10.4483i 0.316548 0.365315i
\(819\) 0.238440 0.522110i 0.00833176 0.0182440i
\(820\) 15.3276 + 6.13625i 0.535264 + 0.214287i
\(821\) 24.1450 4.65357i 0.842668 0.162411i 0.250390 0.968145i \(-0.419441\pi\)
0.592277 + 0.805734i \(0.298229\pi\)
\(822\) 3.26894 + 9.44497i 0.114017 + 0.329431i
\(823\) −16.2400 22.8060i −0.566092 0.794966i 0.427968 0.903794i \(-0.359230\pi\)
−0.994061 + 0.108828i \(0.965290\pi\)
\(824\) −2.05787 + 43.2000i −0.0716892 + 1.50494i
\(825\) 10.6283 4.25493i 0.370030 0.148138i
\(826\) 11.0330 7.09046i 0.383886 0.246709i
\(827\) −4.84540 + 2.49798i −0.168491 + 0.0868632i −0.540409 0.841402i \(-0.681731\pi\)
0.371918 + 0.928266i \(0.378700\pi\)
\(828\) −2.35801 2.72129i −0.0819465 0.0945713i
\(829\) −29.0157 + 8.51978i −1.00776 + 0.295904i −0.743635 0.668585i \(-0.766900\pi\)
−0.264121 + 0.964489i \(0.585082\pi\)
\(830\) 7.11686 20.5628i 0.247030 0.713746i
\(831\) −4.71479 + 32.7921i −0.163554 + 1.13754i
\(832\) 3.04922 2.90743i 0.105713 0.100797i
\(833\) −1.91034 3.30881i −0.0661895 0.114644i
\(834\) −5.28565 + 9.15501i −0.183027 + 0.317012i
\(835\) 4.97045 + 20.4885i 0.172009 + 0.709032i
\(836\) −6.86607 3.53970i −0.237468 0.122423i
\(837\) −1.89072 + 0.180541i −0.0653527 + 0.00624043i
\(838\) −27.9896 + 2.67269i −0.966886 + 0.0923264i
\(839\) 13.4106 + 6.91366i 0.462986 + 0.238686i 0.673906 0.738818i \(-0.264615\pi\)
−0.210919 + 0.977503i \(0.567646\pi\)
\(840\) −2.51685 10.3746i −0.0868395 0.357957i
\(841\) 1.68891 2.92527i 0.0582382 0.100871i
\(842\) 7.00232 + 12.1284i 0.241316 + 0.417971i
\(843\) −16.7988 + 16.0176i −0.578581 + 0.551676i
\(844\) 1.95626 13.6061i 0.0673372 0.468340i
\(845\) 12.7946 36.9676i 0.440148 1.27172i
\(846\) 11.6285 3.41443i 0.399796 0.117391i
\(847\) 3.18947 + 3.68084i 0.109591 + 0.126475i
\(848\) −6.97969 + 3.59828i −0.239684 + 0.123566i
\(849\) −25.2278 + 16.2129i −0.865814 + 0.556425i
\(850\) 3.05955 1.22486i 0.104942 0.0420123i
\(851\) −2.69842 + 56.6468i −0.0925006 + 1.94183i
\(852\) −5.73711 8.05665i −0.196550 0.276016i
\(853\) −1.95385 5.64529i −0.0668987 0.193291i 0.906596 0.421999i \(-0.138671\pi\)
−0.973495 + 0.228707i \(0.926550\pi\)
\(854\) −0.0588184 + 0.0113363i −0.00201272 + 0.000387921i
\(855\) 11.2482 + 4.50310i 0.384680 + 0.154003i
\(856\) 24.8830 54.4862i 0.850483 1.86230i
\(857\) −19.5611 + 22.5748i −0.668196 + 0.771139i −0.984093 0.177654i \(-0.943149\pi\)
0.315897 + 0.948794i \(0.397695\pi\)
\(858\) −0.345133 + 1.42266i −0.0117827 + 0.0485688i
\(859\) −7.26638 6.92848i −0.247926 0.236397i 0.555918 0.831237i \(-0.312367\pi\)
−0.803844 + 0.594840i \(0.797215\pi\)
\(860\) 7.04150 5.53750i 0.240113 0.188827i
\(861\) 0.382696 + 8.03377i 0.0130422 + 0.273790i
\(862\) 15.2658 + 33.4275i 0.519955 + 1.13854i
\(863\) −2.18401 0.641284i −0.0743447 0.0218296i 0.244349 0.969687i \(-0.421426\pi\)
−0.318693 + 0.947858i \(0.603244\pi\)
\(864\) 2.32740 3.26838i 0.0791798 0.111192i
\(865\) 56.7547 + 44.6324i 1.92972 + 1.51755i
\(866\) −5.55616 38.6440i −0.188806 1.31318i
\(867\) 16.2547 + 3.13284i 0.552039 + 0.106397i
\(868\) 1.36737 + 0.878757i 0.0464117 + 0.0298270i
\(869\) 2.46690 + 0.235560i 0.0836837 + 0.00799082i
\(870\) −17.3288 −0.587502
\(871\) 0.746547 4.08531i 0.0252958 0.138426i
\(872\) −0.677844 −0.0229547
\(873\) −15.7670 1.50557i −0.533633 0.0509558i
\(874\) 17.6237 + 11.3261i 0.596130 + 0.383110i
\(875\) −1.96223 0.378190i −0.0663356 0.0127851i
\(876\) −0.130142 0.905160i −0.00439711 0.0305825i
\(877\) −3.44934 2.71259i −0.116476 0.0915976i 0.558222 0.829692i \(-0.311484\pi\)
−0.674698 + 0.738094i \(0.735726\pi\)
\(878\) 4.21267 5.91587i 0.142171 0.199651i
\(879\) −18.4964 5.43104i −0.623869 0.183184i
\(880\) 6.31852 + 13.8356i 0.212997 + 0.466399i
\(881\) −1.94706 40.8739i −0.0655982 1.37708i −0.756437 0.654067i \(-0.773062\pi\)
0.690839 0.723009i \(-0.257241\pi\)
\(882\) −5.01407 + 3.94311i −0.168833 + 0.132771i
\(883\) −14.6354 13.9548i −0.492521 0.469618i 0.402642 0.915358i \(-0.368092\pi\)
−0.895162 + 0.445740i \(0.852941\pi\)
\(884\) 0.0604378 0.249128i 0.00203274 0.00837908i
\(885\) −20.8997 + 24.1196i −0.702537 + 0.810771i
\(886\) −18.2812 + 40.0302i −0.614168 + 1.34484i
\(887\) −13.0690 5.23202i −0.438813 0.175674i 0.141728 0.989906i \(-0.454734\pi\)
−0.580540 + 0.814232i \(0.697159\pi\)
\(888\) −35.9600 + 6.93072i −1.20674 + 0.232580i
\(889\) −4.79065 13.8417i −0.160673 0.464235i
\(890\) −4.00214 5.62022i −0.134152 0.188390i
\(891\) −0.123115 + 2.58450i −0.00412450 + 0.0865840i
\(892\) −2.79342 + 1.11832i −0.0935306 + 0.0374440i
\(893\) 36.0836 23.1895i 1.20749 0.776008i
\(894\) 17.1509 8.84188i 0.573610 0.295717i
\(895\) 32.7569 + 37.8035i 1.09494 + 1.26363i
\(896\) 1.34102 0.393759i 0.0448003 0.0131546i
\(897\) −0.789893 + 2.28225i −0.0263738 + 0.0762020i
\(898\) −3.39717 + 23.6279i −0.113365 + 0.788472i
\(899\) 6.95800 6.63444i 0.232062 0.221271i
\(900\) 1.67352 + 2.89863i 0.0557841 + 0.0966210i
\(901\) −1.36957 + 2.37217i −0.0456271 + 0.0790284i
\(902\) −4.83617 19.9350i −0.161027 0.663762i
\(903\) 3.87875 + 1.99963i 0.129077 + 0.0665436i
\(904\) 23.5786 2.25148i 0.784213 0.0748832i
\(905\) 58.2137 5.55874i 1.93509 0.184779i
\(906\) 16.1832 + 8.34303i 0.537652 + 0.277179i
\(907\) 2.40025 + 9.89397i 0.0796991 + 0.328524i 0.997678 0.0681047i \(-0.0216952\pi\)
−0.917979 + 0.396629i \(0.870180\pi\)
\(908\) −3.46402 + 5.99985i −0.114957 + 0.199112i
\(909\) 4.51919 + 7.82746i 0.149892 + 0.259620i
\(910\) −1.42212 + 1.35599i −0.0471429 + 0.0449506i
\(911\) −0.107644 + 0.748682i −0.00356641 + 0.0248049i −0.991527 0.129901i \(-0.958534\pi\)
0.987961 + 0.154706i \(0.0494431\pi\)
\(912\) −2.47173 + 7.14160i −0.0818472 + 0.236482i
\(913\) 15.7797 4.63335i 0.522233 0.153342i
\(914\) 8.97116 + 10.3533i 0.296740 + 0.342456i
\(915\) 0.129563 0.0667943i 0.00428322 0.00220815i
\(916\) 8.32289 5.34879i 0.274996 0.176729i
\(917\) 0.499396 0.199928i 0.0164915 0.00660221i
\(918\) −0.0354408 + 0.743995i −0.00116972 + 0.0245555i
\(919\) −16.3175 22.9147i −0.538265 0.755887i 0.452458 0.891786i \(-0.350547\pi\)
−0.990723 + 0.135898i \(0.956608\pi\)
\(920\) 14.6913 + 42.4478i 0.484358 + 1.39946i
\(921\) −2.39168 + 0.460959i −0.0788087 + 0.0151891i
\(922\) 16.9706 + 6.79400i 0.558897 + 0.223749i
\(923\) −2.75574 + 6.03423i −0.0907063 + 0.198619i
\(924\) 1.45004 1.67344i 0.0477029 0.0550520i
\(925\) 12.4280 51.2289i 0.408630 1.68439i
\(926\) 14.9079 + 14.2147i 0.489906 + 0.467124i
\(927\) 11.0598 8.69750i 0.363250 0.285663i
\(928\) 0.966386 + 20.2869i 0.0317232 + 0.665952i
\(929\) −10.8128 23.6767i −0.354756 0.776807i −0.999919 0.0127616i \(-0.995938\pi\)
0.645163 0.764045i \(-0.276790\pi\)
\(930\) 6.23879 + 1.83187i 0.204578 + 0.0600695i
\(931\) −13.0952 + 18.3896i −0.429176 + 0.602694i
\(932\) 15.1500 + 11.9141i 0.496256 + 0.390260i
\(933\) 0.585511 + 4.07232i 0.0191688 + 0.133322i
\(934\) −10.0326 1.93362i −0.328276 0.0632700i
\(935\) 4.46334 + 2.86841i 0.145967 + 0.0938071i
\(936\) −1.55250 0.148246i −0.0507450 0.00484556i
\(937\) −12.4732 −0.407483 −0.203742 0.979025i \(-0.565310\pi\)
−0.203742 + 0.979025i \(0.565310\pi\)
\(938\) 6.30460 8.17823i 0.205853 0.267029i
\(939\) 17.1414 0.559388
\(940\) 25.1247 + 2.39911i 0.819476 + 0.0782505i
\(941\) −30.6887 19.7225i −1.00042 0.642934i −0.0655265 0.997851i \(-0.520873\pi\)
−0.934898 + 0.354917i \(0.884509\pi\)
\(942\) −3.04483 0.586842i −0.0992058 0.0191203i
\(943\) −4.81610 33.4967i −0.156834 1.09080i
\(944\) −15.6475 12.3053i −0.509283 0.400504i
\(945\) −2.01455 + 2.82904i −0.0655333 + 0.0920287i
\(946\) −10.6791 3.13566i −0.347207 0.101949i
\(947\) 18.1956 + 39.8429i 0.591278 + 1.29472i 0.934667 + 0.355525i \(0.115698\pi\)
−0.343388 + 0.939194i \(0.611575\pi\)
\(948\) 0.0344732 + 0.723683i 0.00111964 + 0.0235041i
\(949\) −0.482119 + 0.379142i −0.0156502 + 0.0123075i
\(950\) −14.0933 13.4380i −0.457249 0.435986i
\(951\) −3.89929 + 16.0731i −0.126443 + 0.521205i
\(952\) 1.52103 1.75537i 0.0492970 0.0568918i
\(953\) 17.4804 38.2768i 0.566247 1.23991i −0.382525 0.923945i \(-0.624945\pi\)
0.948772 0.315962i \(-0.102327\pi\)
\(954\) 4.24553 + 1.69965i 0.137454 + 0.0550283i
\(955\) −22.1839 + 4.27559i −0.717853 + 0.138355i
\(956\) −1.99721 5.77057i −0.0645945 0.186634i
\(957\) −7.59709 10.6686i −0.245579 0.344868i
\(958\) 1.45833 30.6141i 0.0471165 0.989098i
\(959\) −9.41314 + 3.76845i −0.303966 + 0.121690i
\(960\) −21.4461 + 13.7826i −0.692169 + 0.444830i
\(961\) 24.3475 12.5520i 0.785404 0.404904i
\(962\) 4.41425 + 5.09432i 0.142321 + 0.164247i
\(963\) −18.6974 + 5.49005i −0.602515 + 0.176914i
\(964\) 4.05213 11.7079i 0.130510 0.377085i
\(965\) 4.54673 31.6232i 0.146364 1.01799i
\(966\) −4.34604 + 4.14394i −0.139832 + 0.133329i
\(967\) −0.467916 0.810455i −0.0150472 0.0260625i 0.858404 0.512975i \(-0.171457\pi\)
−0.873451 + 0.486912i \(0.838123\pi\)
\(968\) 6.61676 11.4606i 0.212671 0.368357i
\(969\) 0.621486 + 2.56180i 0.0199650 + 0.0822969i
\(970\) 48.1951 + 24.8463i 1.54745 + 0.797767i
\(971\) −42.8521 + 4.09187i −1.37519 + 0.131315i −0.756331 0.654189i \(-0.773010\pi\)
−0.618857 + 0.785504i \(0.712404\pi\)
\(972\) −0.753037 + 0.0719063i −0.0241537 + 0.00230640i
\(973\) −9.53226 4.91422i −0.305590 0.157543i
\(974\) −4.85072 19.9949i −0.155427 0.640679i
\(975\) 1.12245 1.94413i 0.0359470 0.0622621i
\(976\) 0.0454601 + 0.0787392i 0.00145514 + 0.00252038i
\(977\) −44.4379 + 42.3715i −1.42170 + 1.35558i −0.581207 + 0.813756i \(0.697419\pi\)
−0.840489 + 0.541828i \(0.817732\pi\)
\(978\) 1.46087 10.1606i 0.0467136 0.324900i
\(979\) 1.70556 4.92790i 0.0545100 0.157496i
\(980\) −12.7459 + 3.74253i −0.407152 + 0.119551i
\(981\) 0.144410 + 0.166658i 0.00461065 + 0.00532098i
\(982\) 7.95125 4.09915i 0.253734 0.130809i
\(983\) 32.0229 20.5799i 1.02137 0.656396i 0.0810605 0.996709i \(-0.474169\pi\)
0.940312 + 0.340313i \(0.110533\pi\)
\(984\) 20.2879 8.12206i 0.646755 0.258922i
\(985\) 1.95051 40.9462i 0.0621484 1.30466i
\(986\) −2.18696 3.07116i −0.0696470 0.0978055i
\(987\) 4.02130 + 11.6188i 0.127999 + 0.369830i
\(988\) −1.48737 + 0.286667i −0.0473195 + 0.00912009i
\(989\) −17.0461 6.82421i −0.542033 0.216997i
\(990\) 3.67970 8.05741i 0.116948 0.256081i
\(991\) 2.76021 3.18545i 0.0876808 0.101189i −0.710214 0.703986i \(-0.751402\pi\)
0.797895 + 0.602797i \(0.205947\pi\)
\(992\) 1.79666 7.40594i 0.0570440 0.235139i
\(993\) −12.3642 11.7892i −0.392366 0.374120i
\(994\) −12.9656 + 10.1963i −0.411244 + 0.323406i
\(995\) −4.04074 84.8255i −0.128100 2.68915i
\(996\) 1.99737 + 4.37363i 0.0632891 + 0.138584i
\(997\) −0.257846 0.0757103i −0.00816605 0.00239777i 0.277647 0.960683i \(-0.410445\pi\)
−0.285813 + 0.958285i \(0.592264\pi\)
\(998\) −13.7108 + 19.2541i −0.434008 + 0.609479i
\(999\) 9.36504 + 7.36475i 0.296297 + 0.233010i
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 201.2.m.a.4.4 100
3.2 odd 2 603.2.z.b.406.2 100
67.17 even 33 inner 201.2.m.a.151.4 yes 100
201.17 odd 66 603.2.z.b.352.2 100
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.m.a.4.4 100 1.1 even 1 trivial
201.2.m.a.151.4 yes 100 67.17 even 33 inner
603.2.z.b.352.2 100 201.17 odd 66
603.2.z.b.406.2 100 3.2 odd 2