Properties

Label 242.2.g.a.5.2
Level $242$
Weight $2$
Character 242.5
Analytic conductor $1.932$
Analytic rank $0$
Dimension $200$
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] = [242,2,Mod(5,242)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(242, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([74]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("242.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 242 = 2 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 242.g (of order \(55\), degree \(40\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.93237972891\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(5\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 242.5
Dual form 242.2.g.a.97.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.516397 + 0.856349i) q^{2} +(-0.433449 - 0.314919i) q^{3} +(-0.466667 - 0.884433i) q^{4} +(-1.12246 + 0.917831i) q^{5} +(0.493513 - 0.208560i) q^{6} +(-1.54587 + 2.00472i) q^{7} +(0.998369 + 0.0570888i) q^{8} +(-0.838347 - 2.58017i) q^{9} +O(q^{10})\) \(q+(-0.516397 + 0.856349i) q^{2} +(-0.433449 - 0.314919i) q^{3} +(-0.466667 - 0.884433i) q^{4} +(-1.12246 + 0.917831i) q^{5} +(0.493513 - 0.208560i) q^{6} +(-1.54587 + 2.00472i) q^{7} +(0.998369 + 0.0570888i) q^{8} +(-0.838347 - 2.58017i) q^{9} +(-0.206348 - 1.43518i) q^{10} +(-1.51982 + 2.94791i) q^{11} +(-0.0762484 + 0.530319i) q^{12} +(-2.76139 + 0.477877i) q^{13} +(-0.918455 - 2.35903i) q^{14} +(0.775573 - 0.0443489i) q^{15} +(-0.564443 + 0.825472i) q^{16} +(-6.84923 + 0.785876i) q^{17} +(2.64244 + 0.614474i) q^{18} +(1.37068 - 0.774056i) q^{19} +(1.33558 + 0.564419i) q^{20} +(1.30138 - 0.382120i) q^{21} +(-1.73961 - 2.82379i) q^{22} +(-2.24605 - 0.659501i) q^{23} +(-0.414764 - 0.339151i) q^{24} +(-0.575449 + 2.83995i) q^{25} +(1.01674 - 2.61148i) q^{26} +(-0.945852 + 2.91103i) q^{27} +(2.49444 + 0.431681i) q^{28} +(0.544163 + 2.68555i) q^{29} +(-0.362526 + 0.687063i) q^{30} +(8.46838 - 4.16362i) q^{31} +(-0.415415 - 0.909632i) q^{32} +(1.58712 - 0.799147i) q^{33} +(2.86394 - 6.27116i) q^{34} +(-0.104817 - 3.66906i) q^{35} +(-1.89076 + 1.94554i) q^{36} +(-7.57127 - 7.79065i) q^{37} +(-0.0449512 + 1.57350i) q^{38} +(1.34741 + 0.662479i) q^{39} +(-1.17303 + 0.852255i) q^{40} +(0.711799 + 8.28733i) q^{41} +(-0.344801 + 1.31176i) q^{42} +(2.60261 - 1.67260i) q^{43} +(3.31648 - 0.0315133i) q^{44} +(3.30917 + 2.12667i) q^{45} +(1.72462 - 1.58284i) q^{46} +(8.38116 - 1.94896i) q^{47} +(0.504615 - 0.180046i) q^{48} +(0.150345 + 0.571972i) q^{49} +(-2.13483 - 1.95933i) q^{50} +(3.21628 + 1.81632i) q^{51} +(1.71130 + 2.21925i) q^{52} +(3.06704 + 4.48540i) q^{53} +(-2.00443 - 2.31323i) q^{54} +(-0.999744 - 4.70385i) q^{55} +(-1.65779 + 1.91320i) q^{56} +(-0.837884 - 0.0961382i) q^{57} +(-2.58077 - 0.920817i) q^{58} +(-0.933533 + 10.8689i) q^{59} +(-0.401158 - 0.665246i) q^{60} +(3.31772 + 5.50183i) q^{61} +(-0.807536 + 9.40197i) q^{62} +(6.46848 + 2.30795i) q^{63} +(0.993482 + 0.113991i) q^{64} +(2.66094 - 3.07088i) q^{65} +(-0.135234 + 1.77180i) q^{66} +(-0.910411 - 1.05067i) q^{67} +(3.89137 + 5.69094i) q^{68} +(0.765861 + 0.993186i) q^{69} +(3.19613 + 1.80493i) q^{70} +(-5.41572 - 4.97050i) q^{71} +(-0.689681 - 2.62382i) q^{72} +(0.736846 - 0.262906i) q^{73} +(10.5813 - 2.46058i) q^{74} +(1.14378 - 1.04976i) q^{75} +(-1.32425 - 0.851044i) q^{76} +(-3.56028 - 7.60388i) q^{77} +(-1.26311 + 0.811754i) q^{78} +(2.64997 - 10.0815i) q^{79} +(-0.124079 - 1.44462i) q^{80} +(-5.25774 + 3.81997i) q^{81} +(-7.46442 - 3.67001i) q^{82} +(-0.411787 + 14.4144i) q^{83} +(-0.945271 - 0.972660i) q^{84} +(6.96669 - 7.16855i) q^{85} +(0.0883448 + 3.09247i) q^{86} +(0.609864 - 1.33542i) q^{87} +(-1.68563 + 2.85633i) q^{88} +(-6.58896 - 14.4278i) q^{89} +(-3.53002 + 1.73559i) q^{90} +(3.31073 - 6.27453i) q^{91} +(0.464876 + 2.29425i) q^{92} +(-4.98182 - 0.862137i) q^{93} +(-2.65902 + 8.18363i) q^{94} +(-0.828077 + 2.12690i) q^{95} +(-0.106399 + 0.525102i) q^{96} +(-0.760869 - 0.622160i) q^{97} +(-0.567445 - 0.166617i) q^{98} +(8.88022 + 1.45002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 5 q^{2} + 10 q^{3} + 5 q^{4} - q^{5} + q^{6} - 5 q^{8} - 40 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 32 q^{13} - 11 q^{14} - 24 q^{15} + 5 q^{16} + 2 q^{17} - 4 q^{18} + q^{19} - q^{20} - 8 q^{21} - 22 q^{22} + 41 q^{23} + q^{24} + 2 q^{25} - q^{26} - 59 q^{27} + 3 q^{29} + 13 q^{30} + 18 q^{31} + 20 q^{32} + 8 q^{34} + 4 q^{35} + 4 q^{36} + 17 q^{37} - 34 q^{38} - 172 q^{39} - 10 q^{40} + 6 q^{41} + 42 q^{42} - 20 q^{43} + 11 q^{44} + 64 q^{45} - 9 q^{46} + 7 q^{47} - q^{48} - 43 q^{49} - 2 q^{50} - 135 q^{51} + q^{52} - 80 q^{53} - 16 q^{54} - 22 q^{55} + 11 q^{56} + 41 q^{57} - 157 q^{58} + 30 q^{59} + 31 q^{60} + 40 q^{61} + 4 q^{62} - 45 q^{63} + 5 q^{64} - 7 q^{65} + 55 q^{66} - 19 q^{67} + 2 q^{68} - 8 q^{69} - 70 q^{70} + 5 q^{71} - 4 q^{72} + 34 q^{73} + 5 q^{74} - 11 q^{75} - 15 q^{76} - 198 q^{77} + 16 q^{78} - 47 q^{79} - q^{80} - 18 q^{81} - 28 q^{82} + 9 q^{83} - 174 q^{84} - 100 q^{85} - 5 q^{86} + 37 q^{87} - 11 q^{88} - 67 q^{89} - 28 q^{90} - 166 q^{91} - 46 q^{92} - 47 q^{93} - 18 q^{94} + 129 q^{95} + q^{96} - 3 q^{97} - 40 q^{98} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{37}{55}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.516397 + 0.856349i −0.365148 + 0.605530i
\(3\) −0.433449 0.314919i −0.250252 0.181819i 0.455586 0.890192i \(-0.349430\pi\)
−0.705839 + 0.708373i \(0.749430\pi\)
\(4\) −0.466667 0.884433i −0.233334 0.442216i
\(5\) −1.12246 + 0.917831i −0.501980 + 0.410467i −0.849809 0.527091i \(-0.823283\pi\)
0.347829 + 0.937558i \(0.386919\pi\)
\(6\) 0.493513 0.208560i 0.201476 0.0851444i
\(7\) −1.54587 + 2.00472i −0.584283 + 0.757712i −0.987539 0.157375i \(-0.949697\pi\)
0.403256 + 0.915087i \(0.367879\pi\)
\(8\) 0.998369 + 0.0570888i 0.352977 + 0.0201839i
\(9\) −0.838347 2.58017i −0.279449 0.860055i
\(10\) −0.206348 1.43518i −0.0652531 0.453845i
\(11\) −1.51982 + 2.94791i −0.458243 + 0.888827i
\(12\) −0.0762484 + 0.530319i −0.0220110 + 0.153090i
\(13\) −2.76139 + 0.477877i −0.765871 + 0.132539i −0.540054 0.841631i \(-0.681596\pi\)
−0.225817 + 0.974170i \(0.572505\pi\)
\(14\) −0.918455 2.35903i −0.245468 0.630478i
\(15\) 0.775573 0.0443489i 0.200252 0.0114508i
\(16\) −0.564443 + 0.825472i −0.141111 + 0.206368i
\(17\) −6.84923 + 0.785876i −1.66118 + 0.190603i −0.893134 0.449790i \(-0.851499\pi\)
−0.768048 + 0.640393i \(0.778772\pi\)
\(18\) 2.64244 + 0.614474i 0.622830 + 0.144833i
\(19\) 1.37068 0.774056i 0.314455 0.177581i −0.326423 0.945224i \(-0.605843\pi\)
0.640878 + 0.767643i \(0.278571\pi\)
\(20\) 1.33558 + 0.564419i 0.298644 + 0.126208i
\(21\) 1.30138 0.382120i 0.283984 0.0833853i
\(22\) −1.73961 2.82379i −0.370885 0.602033i
\(23\) −2.24605 0.659501i −0.468335 0.137515i 0.0390461 0.999237i \(-0.487568\pi\)
−0.507381 + 0.861722i \(0.669386\pi\)
\(24\) −0.414764 0.339151i −0.0846634 0.0692289i
\(25\) −0.575449 + 2.83995i −0.115090 + 0.567991i
\(26\) 1.01674 2.61148i 0.199400 0.512154i
\(27\) −0.945852 + 2.91103i −0.182029 + 0.560229i
\(28\) 2.49444 + 0.431681i 0.471406 + 0.0815800i
\(29\) 0.544163 + 2.68555i 0.101048 + 0.498694i 0.998358 + 0.0572909i \(0.0182463\pi\)
−0.897309 + 0.441403i \(0.854481\pi\)
\(30\) −0.362526 + 0.687063i −0.0661878 + 0.125440i
\(31\) 8.46838 4.16362i 1.52097 0.747808i 0.526235 0.850339i \(-0.323603\pi\)
0.994730 + 0.102531i \(0.0326940\pi\)
\(32\) −0.415415 0.909632i −0.0734357 0.160802i
\(33\) 1.58712 0.799147i 0.276282 0.139114i
\(34\) 2.86394 6.27116i 0.491162 1.07549i
\(35\) −0.104817 3.66906i −0.0177173 0.620185i
\(36\) −1.89076 + 1.94554i −0.315126 + 0.324257i
\(37\) −7.57127 7.79065i −1.24471 1.28078i −0.945126 0.326705i \(-0.894062\pi\)
−0.299583 0.954070i \(-0.596847\pi\)
\(38\) −0.0449512 + 1.57350i −0.00729205 + 0.255255i
\(39\) 1.34741 + 0.662479i 0.215759 + 0.106081i
\(40\) −1.17303 + 0.852255i −0.185472 + 0.134753i
\(41\) 0.711799 + 8.28733i 0.111164 + 1.29426i 0.813143 + 0.582065i \(0.197755\pi\)
−0.701978 + 0.712198i \(0.747700\pi\)
\(42\) −0.344801 + 1.31176i −0.0532040 + 0.202409i
\(43\) 2.60261 1.67260i 0.396895 0.255069i −0.326936 0.945047i \(-0.606016\pi\)
0.723831 + 0.689978i \(0.242380\pi\)
\(44\) 3.31648 0.0315133i 0.499977 0.00475080i
\(45\) 3.30917 + 2.12667i 0.493302 + 0.317026i
\(46\) 1.72462 1.58284i 0.254281 0.233377i
\(47\) 8.38116 1.94896i 1.22252 0.284284i 0.434917 0.900470i \(-0.356778\pi\)
0.787601 + 0.616186i \(0.211323\pi\)
\(48\) 0.504615 0.180046i 0.0728348 0.0259874i
\(49\) 0.150345 + 0.571972i 0.0214779 + 0.0817102i
\(50\) −2.13483 1.95933i −0.301911 0.277091i
\(51\) 3.21628 + 1.81632i 0.450369 + 0.254335i
\(52\) 1.71130 + 2.21925i 0.237314 + 0.307755i
\(53\) 3.06704 + 4.48540i 0.421290 + 0.616117i 0.976480 0.215606i \(-0.0691727\pi\)
−0.555190 + 0.831723i \(0.687355\pi\)
\(54\) −2.00443 2.31323i −0.272768 0.314791i
\(55\) −0.999744 4.70385i −0.134805 0.634266i
\(56\) −1.65779 + 1.91320i −0.221532 + 0.255662i
\(57\) −0.837884 0.0961382i −0.110980 0.0127338i
\(58\) −2.58077 0.920817i −0.338872 0.120909i
\(59\) −0.933533 + 10.8689i −0.121536 + 1.41501i 0.640738 + 0.767759i \(0.278628\pi\)
−0.762274 + 0.647254i \(0.775917\pi\)
\(60\) −0.401158 0.665246i −0.0517893 0.0858829i
\(61\) 3.31772 + 5.50183i 0.424791 + 0.704437i 0.992957 0.118478i \(-0.0378014\pi\)
−0.568166 + 0.822914i \(0.692347\pi\)
\(62\) −0.807536 + 9.40197i −0.102557 + 1.19405i
\(63\) 6.46848 + 2.30795i 0.814952 + 0.290774i
\(64\) 0.993482 + 0.113991i 0.124185 + 0.0142489i
\(65\) 2.66094 3.07088i 0.330049 0.380896i
\(66\) −0.135234 + 1.77180i −0.0166462 + 0.218094i
\(67\) −0.910411 1.05067i −0.111224 0.128360i 0.697407 0.716675i \(-0.254337\pi\)
−0.808632 + 0.588315i \(0.799791\pi\)
\(68\) 3.89137 + 5.69094i 0.471897 + 0.690128i
\(69\) 0.765861 + 0.993186i 0.0921988 + 0.119566i
\(70\) 3.19613 + 1.80493i 0.382010 + 0.215731i
\(71\) −5.41572 4.97050i −0.642727 0.589890i 0.287093 0.957903i \(-0.407311\pi\)
−0.929821 + 0.368013i \(0.880038\pi\)
\(72\) −0.689681 2.62382i −0.0812797 0.309220i
\(73\) 0.736846 0.262906i 0.0862413 0.0307708i −0.292576 0.956242i \(-0.594513\pi\)
0.378818 + 0.925471i \(0.376331\pi\)
\(74\) 10.5813 2.46058i 1.23005 0.286036i
\(75\) 1.14378 1.04976i 0.132073 0.121215i
\(76\) −1.32425 0.851044i −0.151902 0.0976215i
\(77\) −3.56028 7.60388i −0.405731 0.866543i
\(78\) −1.26311 + 0.811754i −0.143019 + 0.0919130i
\(79\) 2.64997 10.0815i 0.298145 1.13426i −0.634340 0.773054i \(-0.718728\pi\)
0.932485 0.361208i \(-0.117636\pi\)
\(80\) −0.124079 1.44462i −0.0138724 0.161514i
\(81\) −5.25774 + 3.81997i −0.584194 + 0.424441i
\(82\) −7.46442 3.67001i −0.824307 0.405284i
\(83\) −0.411787 + 14.4144i −0.0451995 + 1.58219i 0.588427 + 0.808551i \(0.299748\pi\)
−0.633626 + 0.773639i \(0.718434\pi\)
\(84\) −0.945271 0.972660i −0.103137 0.106126i
\(85\) 6.96669 7.16855i 0.755643 0.777539i
\(86\) 0.0883448 + 3.09247i 0.00952646 + 0.333470i
\(87\) 0.609864 1.33542i 0.0653843 0.143172i
\(88\) −1.68563 + 2.85633i −0.179689 + 0.304486i
\(89\) −6.58896 14.4278i −0.698428 1.52934i −0.841867 0.539686i \(-0.818543\pi\)
0.143438 0.989659i \(-0.454184\pi\)
\(90\) −3.53002 + 1.73559i −0.372097 + 0.182948i
\(91\) 3.31073 6.27453i 0.347059 0.657750i
\(92\) 0.464876 + 2.29425i 0.0484666 + 0.239192i
\(93\) −4.98182 0.862137i −0.516590 0.0893995i
\(94\) −2.65902 + 8.18363i −0.274257 + 0.844077i
\(95\) −0.828077 + 2.12690i −0.0849589 + 0.218215i
\(96\) −0.106399 + 0.525102i −0.0108593 + 0.0535930i
\(97\) −0.760869 0.622160i −0.0772546 0.0631707i 0.593597 0.804763i \(-0.297707\pi\)
−0.670851 + 0.741592i \(0.734071\pi\)
\(98\) −0.567445 0.166617i −0.0573206 0.0168309i
\(99\) 8.88022 + 1.45002i 0.892496 + 0.145732i
\(100\) 2.78029 0.816367i 0.278029 0.0816367i
\(101\) −6.38960 2.70027i −0.635789 0.268687i 0.0474589 0.998873i \(-0.484888\pi\)
−0.683248 + 0.730187i \(0.739433\pi\)
\(102\) −3.21628 + 1.81632i −0.318459 + 0.179842i
\(103\) −8.75140 2.03505i −0.862301 0.200520i −0.228053 0.973649i \(-0.573236\pi\)
−0.634249 + 0.773129i \(0.718690\pi\)
\(104\) −2.78416 + 0.319453i −0.273010 + 0.0313249i
\(105\) −1.11003 + 1.62336i −0.108327 + 0.158424i
\(106\) −5.42488 + 0.310206i −0.526911 + 0.0301299i
\(107\) 5.37131 + 13.7961i 0.519264 + 1.33372i 0.910531 + 0.413441i \(0.135673\pi\)
−0.391267 + 0.920277i \(0.627963\pi\)
\(108\) 3.01601 0.521942i 0.290216 0.0502238i
\(109\) 0.959979 6.67680i 0.0919493 0.639522i −0.890775 0.454445i \(-0.849838\pi\)
0.982724 0.185077i \(-0.0592533\pi\)
\(110\) 4.54440 + 1.57292i 0.433291 + 0.149972i
\(111\) 0.828334 + 5.76119i 0.0786220 + 0.546828i
\(112\) −0.782283 2.40762i −0.0739188 0.227499i
\(113\) −16.9304 0.968114i −1.59268 0.0910725i −0.761906 0.647688i \(-0.775736\pi\)
−0.830771 + 0.556615i \(0.812100\pi\)
\(114\) 0.515009 0.667876i 0.0482350 0.0625523i
\(115\) 3.12642 1.32124i 0.291540 0.123206i
\(116\) 2.12124 1.73453i 0.196953 0.161047i
\(117\) 3.54800 + 6.72421i 0.328013 + 0.621653i
\(118\) −8.82552 6.41212i −0.812455 0.590283i
\(119\) 9.01255 14.9456i 0.826179 1.37006i
\(120\) 0.776840 0.0709154
\(121\) −6.38030 8.96057i −0.580027 0.814597i
\(122\) −6.42475 −0.581669
\(123\) 2.30131 3.81630i 0.207502 0.344104i
\(124\) −7.63436 5.54668i −0.685585 0.498107i
\(125\) −5.34388 10.1278i −0.477971 0.905857i
\(126\) −5.31671 + 4.34746i −0.473651 + 0.387302i
\(127\) −13.3958 + 5.66111i −1.18868 + 0.502342i −0.891738 0.452552i \(-0.850514\pi\)
−0.296946 + 0.954894i \(0.595968\pi\)
\(128\) −0.610648 + 0.791902i −0.0539742 + 0.0699949i
\(129\) −1.65483 0.0946268i −0.145700 0.00833143i
\(130\) 1.25565 + 3.86449i 0.110128 + 0.338938i
\(131\) 0.0289078 + 0.201058i 0.00252569 + 0.0175666i 0.991045 0.133526i \(-0.0426300\pi\)
−0.988520 + 0.151093i \(0.951721\pi\)
\(132\) −1.44745 1.03076i −0.125984 0.0897164i
\(133\) −0.567120 + 3.94441i −0.0491756 + 0.342023i
\(134\) 1.36987 0.237066i 0.118339 0.0204794i
\(135\) −1.61016 4.13565i −0.138580 0.355940i
\(136\) −6.88292 + 0.393580i −0.590206 + 0.0337492i
\(137\) 3.80967 5.57146i 0.325482 0.476002i −0.627676 0.778475i \(-0.715994\pi\)
0.953158 + 0.302472i \(0.0978120\pi\)
\(138\) −1.24600 + 0.142966i −0.106067 + 0.0121700i
\(139\) 11.4555 + 2.66387i 0.971646 + 0.225947i 0.682133 0.731228i \(-0.261052\pi\)
0.289512 + 0.957174i \(0.406507\pi\)
\(140\) −3.19613 + 1.80493i −0.270122 + 0.152545i
\(141\) −4.24657 1.79462i −0.357626 0.151134i
\(142\) 7.05315 2.07099i 0.591887 0.173794i
\(143\) 2.78807 8.86659i 0.233150 0.741462i
\(144\) 2.60305 + 0.764326i 0.216921 + 0.0636938i
\(145\) −3.07568 2.51497i −0.255421 0.208857i
\(146\) −0.155366 + 0.766762i −0.0128582 + 0.0634576i
\(147\) 0.114958 0.295267i 0.00948158 0.0243532i
\(148\) −3.35705 + 10.3319i −0.275947 + 0.849279i
\(149\) 1.18602 + 0.205248i 0.0971622 + 0.0168146i 0.218896 0.975748i \(-0.429754\pi\)
−0.121734 + 0.992563i \(0.538845\pi\)
\(150\) 0.308310 + 1.52157i 0.0251734 + 0.124236i
\(151\) −4.11992 + 7.80811i −0.335274 + 0.635415i −0.993036 0.117811i \(-0.962412\pi\)
0.657762 + 0.753226i \(0.271503\pi\)
\(152\) 1.41263 0.694544i 0.114579 0.0563349i
\(153\) 7.76972 + 17.0133i 0.628145 + 1.37544i
\(154\) 8.35009 + 0.877784i 0.672870 + 0.0707339i
\(155\) −5.68392 + 12.4460i −0.456543 + 0.999690i
\(156\) −0.0428759 1.50085i −0.00343282 0.120164i
\(157\) −3.56027 + 3.66343i −0.284140 + 0.292373i −0.844144 0.536117i \(-0.819891\pi\)
0.560004 + 0.828490i \(0.310800\pi\)
\(158\) 7.26488 + 7.47539i 0.577963 + 0.594710i
\(159\) 0.0831339 2.91007i 0.00659294 0.230783i
\(160\) 1.30118 + 0.639745i 0.102867 + 0.0505763i
\(161\) 4.79422 3.48320i 0.377837 0.274515i
\(162\) −0.556146 6.47509i −0.0436949 0.508731i
\(163\) −2.22163 + 8.45195i −0.174011 + 0.662008i 0.821735 + 0.569870i \(0.193006\pi\)
−0.995746 + 0.0921378i \(0.970630\pi\)
\(164\) 6.99741 4.49696i 0.546406 0.351154i
\(165\) −1.04799 + 2.35372i −0.0815862 + 0.183237i
\(166\) −12.1311 7.79621i −0.941559 0.605103i
\(167\) −11.0141 + 10.1087i −0.852299 + 0.782233i −0.977729 0.209870i \(-0.932696\pi\)
0.125431 + 0.992102i \(0.459969\pi\)
\(168\) 1.32107 0.307202i 0.101923 0.0237012i
\(169\) −4.84709 + 1.72944i −0.372853 + 0.133034i
\(170\) 2.54120 + 9.66774i 0.194901 + 0.741482i
\(171\) −3.14630 2.88764i −0.240603 0.220824i
\(172\) −2.69385 1.52129i −0.205405 0.115997i
\(173\) −1.65438 2.14544i −0.125780 0.163115i 0.724801 0.688958i \(-0.241932\pi\)
−0.850581 + 0.525844i \(0.823750\pi\)
\(174\) 0.828650 + 1.21186i 0.0628198 + 0.0918710i
\(175\) −4.80374 5.54381i −0.363128 0.419072i
\(176\) −1.57556 2.91849i −0.118762 0.219990i
\(177\) 3.82747 4.41714i 0.287691 0.332013i
\(178\) 15.7578 + 1.80804i 1.18109 + 0.135518i
\(179\) −6.73731 2.40387i −0.503570 0.179673i 0.0720338 0.997402i \(-0.477051\pi\)
−0.575604 + 0.817729i \(0.695233\pi\)
\(180\) 0.336619 3.91919i 0.0250901 0.292119i
\(181\) 12.8832 + 21.3644i 0.957602 + 1.58801i 0.799571 + 0.600571i \(0.205060\pi\)
0.158031 + 0.987434i \(0.449485\pi\)
\(182\) 3.66354 + 6.07529i 0.271559 + 0.450331i
\(183\) 0.294567 3.42958i 0.0217750 0.253522i
\(184\) −2.20474 0.786650i −0.162536 0.0579926i
\(185\) 15.6490 + 1.79555i 1.15053 + 0.132012i
\(186\) 3.31089 3.82097i 0.242766 0.280167i
\(187\) 8.09290 21.3853i 0.591812 1.56385i
\(188\) −5.63493 6.50306i −0.410970 0.474284i
\(189\) −4.37364 6.39624i −0.318135 0.465258i
\(190\) −1.39375 1.80745i −0.101113 0.131126i
\(191\) 5.73970 + 3.24136i 0.415310 + 0.234536i 0.685200 0.728355i \(-0.259715\pi\)
−0.269890 + 0.962891i \(0.586987\pi\)
\(192\) −0.394726 0.362276i −0.0284869 0.0261450i
\(193\) 0.514335 + 1.95674i 0.0370227 + 0.140849i 0.983091 0.183119i \(-0.0586194\pi\)
−0.946068 + 0.323968i \(0.894983\pi\)
\(194\) 0.925697 0.330288i 0.0664611 0.0237133i
\(195\) −2.12046 + 0.493092i −0.151849 + 0.0353111i
\(196\) 0.435709 0.399891i 0.0311221 0.0285636i
\(197\) 16.5596 + 10.6422i 1.17982 + 0.758226i 0.975354 0.220647i \(-0.0708168\pi\)
0.204469 + 0.978873i \(0.434453\pi\)
\(198\) −5.82745 + 6.85578i −0.414139 + 0.487219i
\(199\) 15.9933 10.2783i 1.13373 0.728606i 0.167397 0.985890i \(-0.446464\pi\)
0.966336 + 0.257283i \(0.0828274\pi\)
\(200\) −0.736640 + 2.80247i −0.0520883 + 0.198165i
\(201\) 0.0637406 + 0.742118i 0.00449591 + 0.0523450i
\(202\) 5.61194 4.07732i 0.394855 0.286879i
\(203\) −6.22497 3.06061i −0.436907 0.214813i
\(204\) 0.105478 3.69220i 0.00738492 0.258506i
\(205\) −8.40534 8.64889i −0.587054 0.604064i
\(206\) 6.26192 6.44336i 0.436288 0.448930i
\(207\) 0.181350 + 6.34808i 0.0126047 + 0.441222i
\(208\) 1.16417 2.54918i 0.0807208 0.176754i
\(209\) 0.198666 + 5.21705i 0.0137420 + 0.360871i
\(210\) −0.816949 1.78887i −0.0563749 0.123444i
\(211\) −1.86839 + 0.918626i −0.128625 + 0.0632408i −0.504399 0.863471i \(-0.668286\pi\)
0.375774 + 0.926711i \(0.377377\pi\)
\(212\) 2.53575 4.80578i 0.174156 0.330062i
\(213\) 0.782132 + 3.85997i 0.0535908 + 0.264481i
\(214\) −14.5880 2.52455i −0.997215 0.172575i
\(215\) −1.38617 + 4.26619i −0.0945358 + 0.290951i
\(216\) −1.11050 + 2.85229i −0.0755598 + 0.194074i
\(217\) −4.74411 + 23.4131i −0.322051 + 1.58939i
\(218\) 5.22194 + 4.26996i 0.353675 + 0.289198i
\(219\) −0.402180 0.118091i −0.0271768 0.00797983i
\(220\) −3.69369 + 3.07934i −0.249028 + 0.207609i
\(221\) 18.5378 5.44319i 1.24699 0.366149i
\(222\) −5.36134 2.26572i −0.359830 0.152065i
\(223\) 4.00593 2.26225i 0.268257 0.151492i −0.351736 0.936099i \(-0.614408\pi\)
0.619992 + 0.784608i \(0.287136\pi\)
\(224\) 2.46573 + 0.573381i 0.164749 + 0.0383107i
\(225\) 7.80998 0.896112i 0.520665 0.0597408i
\(226\) 9.57185 13.9984i 0.636710 0.931159i
\(227\) 7.63876 0.436800i 0.507002 0.0289914i 0.198283 0.980145i \(-0.436463\pi\)
0.308719 + 0.951153i \(0.400100\pi\)
\(228\) 0.305985 + 0.785917i 0.0202644 + 0.0520486i
\(229\) −23.5724 + 4.07936i −1.55771 + 0.269571i −0.883306 0.468796i \(-0.844688\pi\)
−0.674399 + 0.738367i \(0.735597\pi\)
\(230\) −0.483036 + 3.35959i −0.0318504 + 0.221525i
\(231\) −0.851409 + 4.41710i −0.0560186 + 0.290624i
\(232\) 0.389960 + 2.71223i 0.0256022 + 0.178067i
\(233\) −1.42371 4.38174i −0.0932707 0.287058i 0.893528 0.449007i \(-0.148222\pi\)
−0.986799 + 0.161949i \(0.948222\pi\)
\(234\) −7.59045 0.434038i −0.496203 0.0283739i
\(235\) −7.61871 + 9.88012i −0.496990 + 0.644508i
\(236\) 10.0485 4.24653i 0.654101 0.276425i
\(237\) −4.32350 + 3.53531i −0.280842 + 0.229643i
\(238\) 8.14462 + 15.4358i 0.527937 + 1.00055i
\(239\) −6.53634 4.74893i −0.422801 0.307183i 0.355963 0.934500i \(-0.384153\pi\)
−0.778764 + 0.627317i \(0.784153\pi\)
\(240\) −0.401158 + 0.665246i −0.0258946 + 0.0429414i
\(241\) 8.14665 0.524772 0.262386 0.964963i \(-0.415491\pi\)
0.262386 + 0.964963i \(0.415491\pi\)
\(242\) 10.9681 0.836548i 0.705059 0.0537754i
\(243\) 12.6645 0.812426
\(244\) 3.31772 5.50183i 0.212395 0.352218i
\(245\) −0.693730 0.504024i −0.0443208 0.0322009i
\(246\) 2.07969 + 3.94145i 0.132596 + 0.251298i
\(247\) −3.41506 + 2.79248i −0.217295 + 0.177681i
\(248\) 8.69226 3.67338i 0.551959 0.233260i
\(249\) 4.71788 6.11825i 0.298983 0.387728i
\(250\) 11.4325 + 0.653733i 0.723054 + 0.0413457i
\(251\) 2.63085 + 8.09693i 0.166058 + 0.511074i 0.999113 0.0421168i \(-0.0134102\pi\)
−0.833055 + 0.553191i \(0.813410\pi\)
\(252\) −0.977402 6.79798i −0.0615705 0.428232i
\(253\) 5.35774 5.61883i 0.336838 0.353253i
\(254\) 2.06967 14.3949i 0.129862 0.903213i
\(255\) −5.27722 + 0.913259i −0.330473 + 0.0571905i
\(256\) −0.362808 0.931864i −0.0226755 0.0582415i
\(257\) 0.745869 0.0426503i 0.0465260 0.00266045i −0.0338103 0.999428i \(-0.510764\pi\)
0.0803363 + 0.996768i \(0.474401\pi\)
\(258\) 0.935586 1.36825i 0.0582470 0.0851836i
\(259\) 27.3222 3.13493i 1.69772 0.194795i
\(260\) −3.95776 0.920339i −0.245450 0.0570770i
\(261\) 6.47296 3.65545i 0.400666 0.226267i
\(262\) −0.187104 0.0790709i −0.0115593 0.00488501i
\(263\) −5.67478 + 1.66627i −0.349922 + 0.102746i −0.451970 0.892033i \(-0.649279\pi\)
0.102048 + 0.994779i \(0.467460\pi\)
\(264\) 1.63015 0.707237i 0.100329 0.0435275i
\(265\) −7.55948 2.21966i −0.464375 0.136353i
\(266\) −3.08493 2.52253i −0.189149 0.154667i
\(267\) −1.68762 + 8.32872i −0.103280 + 0.509709i
\(268\) −0.504388 + 1.29551i −0.0308104 + 0.0791359i
\(269\) −2.48229 + 7.63970i −0.151348 + 0.465800i −0.997773 0.0667078i \(-0.978750\pi\)
0.846425 + 0.532508i \(0.178750\pi\)
\(270\) 4.37304 + 0.756785i 0.266135 + 0.0460565i
\(271\) 2.35013 + 11.5983i 0.142760 + 0.704549i 0.985964 + 0.166956i \(0.0533936\pi\)
−0.843204 + 0.537593i \(0.819334\pi\)
\(272\) 3.21728 6.09743i 0.195076 0.369711i
\(273\) −3.41101 + 1.67708i −0.206443 + 0.101501i
\(274\) 2.80381 + 6.13950i 0.169385 + 0.370901i
\(275\) −7.49734 6.01259i −0.452106 0.362573i
\(276\) 0.521004 1.14084i 0.0313608 0.0686705i
\(277\) 0.141706 + 4.96035i 0.00851428 + 0.298039i 0.992679 + 0.120782i \(0.0385404\pi\)
−0.984165 + 0.177256i \(0.943278\pi\)
\(278\) −8.19681 + 8.43432i −0.491612 + 0.505857i
\(279\) −17.8423 18.3593i −1.06819 1.09914i
\(280\) 0.104817 3.66906i 0.00626399 0.219268i
\(281\) −26.8682 13.2102i −1.60282 0.788054i −0.602869 0.797841i \(-0.705976\pi\)
−0.999952 + 0.00978671i \(0.996885\pi\)
\(282\) 3.72974 2.70981i 0.222103 0.161367i
\(283\) −1.09710 12.7733i −0.0652160 0.759296i −0.953773 0.300529i \(-0.902837\pi\)
0.888557 0.458767i \(-0.151709\pi\)
\(284\) −1.86874 + 7.10941i −0.110889 + 0.421866i
\(285\) 1.02873 0.661125i 0.0609367 0.0391617i
\(286\) 6.15314 + 6.96625i 0.363843 + 0.411923i
\(287\) −17.7141 11.3842i −1.04563 0.671986i
\(288\) −1.99874 + 1.83443i −0.117777 + 0.108095i
\(289\) 29.7361 6.91484i 1.74918 0.406755i
\(290\) 3.74197 1.33513i 0.219736 0.0784016i
\(291\) 0.133868 + 0.509287i 0.00784749 + 0.0298549i
\(292\) −0.576385 0.529001i −0.0337304 0.0309575i
\(293\) −5.52805 3.12183i −0.322952 0.182379i 0.321728 0.946832i \(-0.395736\pi\)
−0.644680 + 0.764453i \(0.723009\pi\)
\(294\) 0.193488 + 0.250919i 0.0112844 + 0.0146339i
\(295\) −8.92799 13.0568i −0.519808 0.760194i
\(296\) −7.11416 8.21018i −0.413502 0.477207i
\(297\) −7.14393 7.21253i −0.414533 0.418513i
\(298\) −0.788219 + 0.909654i −0.0456603 + 0.0526948i
\(299\) 6.51738 + 0.747800i 0.376910 + 0.0432464i
\(300\) −1.46221 0.521714i −0.0844205 0.0301212i
\(301\) −0.670210 + 7.80312i −0.0386303 + 0.449764i
\(302\) −4.55895 7.56017i −0.262338 0.435039i
\(303\) 1.91920 + 3.18264i 0.110255 + 0.182838i
\(304\) −0.134707 + 1.56837i −0.00772598 + 0.0899519i
\(305\) −8.77376 3.13047i −0.502384 0.179250i
\(306\) −18.5816 2.13204i −1.06224 0.121881i
\(307\) −10.6173 + 12.2530i −0.605963 + 0.699318i −0.972978 0.230897i \(-0.925834\pi\)
0.367016 + 0.930215i \(0.380380\pi\)
\(308\) −5.06366 + 6.69731i −0.288529 + 0.381615i
\(309\) 3.15241 + 3.63808i 0.179335 + 0.206963i
\(310\) −7.72300 11.2945i −0.438637 0.641486i
\(311\) 8.12161 + 10.5323i 0.460534 + 0.597231i 0.963710 0.266953i \(-0.0860168\pi\)
−0.503175 + 0.864184i \(0.667835\pi\)
\(312\) 1.30740 + 0.738320i 0.0740167 + 0.0417992i
\(313\) 18.1819 + 16.6872i 1.02770 + 0.943214i 0.998411 0.0563573i \(-0.0179486\pi\)
0.0292884 + 0.999571i \(0.490676\pi\)
\(314\) −1.29866 4.94061i −0.0732876 0.278815i
\(315\) −9.37892 + 3.34639i −0.528442 + 0.188548i
\(316\) −10.1531 + 2.36100i −0.571157 + 0.132817i
\(317\) 21.4873 19.7209i 1.20685 1.10764i 0.215484 0.976507i \(-0.430867\pi\)
0.991365 0.131129i \(-0.0418603\pi\)
\(318\) 2.44910 + 1.57394i 0.137339 + 0.0882623i
\(319\) −8.74377 2.47741i −0.489557 0.138708i
\(320\) −1.21977 + 0.783898i −0.0681872 + 0.0438212i
\(321\) 2.01647 7.67143i 0.112548 0.428178i
\(322\) 0.507116 + 5.90424i 0.0282604 + 0.329030i
\(323\) −8.77976 + 6.37887i −0.488519 + 0.354930i
\(324\) 5.83213 + 2.86746i 0.324007 + 0.159304i
\(325\) 0.231890 8.11720i 0.0128629 0.450261i
\(326\) −6.09057 6.26705i −0.337326 0.347100i
\(327\) −2.51876 + 2.59174i −0.139288 + 0.143324i
\(328\) 0.237525 + 8.31445i 0.0131151 + 0.459089i
\(329\) −9.04906 + 19.8147i −0.498891 + 1.09242i
\(330\) −1.47442 2.11290i −0.0811643 0.116311i
\(331\) 9.72311 + 21.2906i 0.534431 + 1.17024i 0.963681 + 0.267055i \(0.0860504\pi\)
−0.429251 + 0.903185i \(0.641222\pi\)
\(332\) 12.9408 6.36255i 0.710217 0.349190i
\(333\) −13.7538 + 26.0664i −0.753705 + 1.42843i
\(334\) −2.96889 14.6520i −0.162450 0.801724i
\(335\) 1.98624 + 0.343732i 0.108520 + 0.0187801i
\(336\) −0.419126 + 1.28994i −0.0228652 + 0.0703718i
\(337\) 10.4814 26.9212i 0.570957 1.46649i −0.289606 0.957146i \(-0.593524\pi\)
0.860563 0.509344i \(-0.170112\pi\)
\(338\) 1.02202 5.04388i 0.0555907 0.274351i
\(339\) 7.03359 + 5.75134i 0.382012 + 0.312370i
\(340\) −9.59123 2.81624i −0.520157 0.152732i
\(341\) −0.596440 + 31.2919i −0.0322990 + 1.69455i
\(342\) 4.09757 1.20316i 0.221571 0.0650592i
\(343\) −17.7020 7.48091i −0.955816 0.403931i
\(344\) 2.69385 1.52129i 0.145243 0.0820224i
\(345\) −1.77123 0.411881i −0.0953596 0.0221749i
\(346\) 2.69156 0.308828i 0.144699 0.0166027i
\(347\) −11.2062 + 16.3886i −0.601582 + 0.879786i −0.999288 0.0377269i \(-0.987988\pi\)
0.397706 + 0.917513i \(0.369806\pi\)
\(348\) −1.46569 + 0.0838112i −0.0785692 + 0.00449275i
\(349\) 1.54943 + 3.97969i 0.0829393 + 0.213028i 0.967226 0.253916i \(-0.0817187\pi\)
−0.884287 + 0.466944i \(0.845355\pi\)
\(350\) 7.22807 1.25087i 0.386357 0.0668616i
\(351\) 1.22075 8.49049i 0.0651587 0.453189i
\(352\) 3.31287 + 0.157872i 0.176576 + 0.00841459i
\(353\) −0.438610 3.05060i −0.0233448 0.162367i 0.974814 0.223019i \(-0.0715911\pi\)
−0.998159 + 0.0606519i \(0.980682\pi\)
\(354\) 1.80612 + 5.55865i 0.0959940 + 0.295439i
\(355\) 10.6410 + 0.608475i 0.564766 + 0.0322945i
\(356\) −9.68558 + 12.5605i −0.513335 + 0.665704i
\(357\) −8.61315 + 3.63995i −0.455856 + 0.192646i
\(358\) 5.53768 4.52814i 0.292675 0.239319i
\(359\) −15.5752 29.5183i −0.822028 1.55792i −0.829876 0.557947i \(-0.811589\pi\)
0.00784829 0.999969i \(-0.497502\pi\)
\(360\) 3.18236 + 2.31212i 0.167725 + 0.121860i
\(361\) −8.53196 + 14.1487i −0.449051 + 0.744667i
\(362\) −24.9483 −1.31125
\(363\) −0.0563200 + 5.89323i −0.00295604 + 0.309314i
\(364\) −7.09441 −0.371848
\(365\) −0.585777 + 0.971403i −0.0306610 + 0.0508455i
\(366\) 2.78480 + 2.02328i 0.145564 + 0.105758i
\(367\) 4.65960 + 8.83093i 0.243229 + 0.460971i 0.975487 0.220057i \(-0.0706243\pi\)
−0.732258 + 0.681028i \(0.761533\pi\)
\(368\) 1.81217 1.48180i 0.0944659 0.0772444i
\(369\) 20.7859 8.78422i 1.08207 0.457288i
\(370\) −9.61870 + 12.4738i −0.500052 + 0.648479i
\(371\) −13.7332 0.785293i −0.712992 0.0407704i
\(372\) 1.56235 + 4.80841i 0.0810040 + 0.249305i
\(373\) −1.51078 10.5077i −0.0782254 0.544070i −0.990818 0.135200i \(-0.956832\pi\)
0.912593 0.408869i \(-0.134077\pi\)
\(374\) 14.1341 + 17.9736i 0.730857 + 0.929395i
\(375\) −0.873133 + 6.07277i −0.0450884 + 0.313597i
\(376\) 8.47875 1.46731i 0.437258 0.0756705i
\(377\) −2.78600 7.15579i −0.143486 0.368542i
\(378\) 7.73595 0.442358i 0.397894 0.0227524i
\(379\) 0.971531 1.42082i 0.0499042 0.0729826i −0.799713 0.600383i \(-0.795015\pi\)
0.849617 + 0.527400i \(0.176833\pi\)
\(380\) 2.26753 0.260175i 0.116322 0.0133467i
\(381\) 7.58919 + 1.76479i 0.388806 + 0.0904129i
\(382\) −5.73970 + 3.24136i −0.293668 + 0.165842i
\(383\) −6.18578 2.61413i −0.316079 0.133576i 0.225458 0.974253i \(-0.427612\pi\)
−0.541537 + 0.840677i \(0.682157\pi\)
\(384\) 0.514070 0.150945i 0.0262335 0.00770286i
\(385\) 10.9754 + 5.26732i 0.559356 + 0.268448i
\(386\) −1.94125 0.570002i −0.0988070 0.0290124i
\(387\) −6.49747 5.31296i −0.330285 0.270073i
\(388\) −0.195186 + 0.963279i −0.00990905 + 0.0489031i
\(389\) 4.11997 10.5820i 0.208891 0.536531i −0.787969 0.615714i \(-0.788868\pi\)
0.996860 + 0.0791831i \(0.0252312\pi\)
\(390\) 0.672742 2.07049i 0.0340656 0.104843i
\(391\) 15.9020 + 2.75195i 0.804200 + 0.139172i
\(392\) 0.117447 + 0.579622i 0.00593195 + 0.0292753i
\(393\) 0.0507871 0.0962523i 0.00256187 0.00485529i
\(394\) −17.6648 + 8.68519i −0.889939 + 0.437554i
\(395\) 6.27867 + 13.7484i 0.315914 + 0.691756i
\(396\) −2.86167 8.53064i −0.143804 0.428681i
\(397\) −6.36411 + 13.9354i −0.319405 + 0.699400i −0.999429 0.0337901i \(-0.989242\pi\)
0.680024 + 0.733190i \(0.261969\pi\)
\(398\) 0.542886 + 19.0035i 0.0272124 + 0.952559i
\(399\) 1.48799 1.53110i 0.0744926 0.0766511i
\(400\) −2.01949 2.07801i −0.100975 0.103900i
\(401\) 0.912251 31.9329i 0.0455556 1.59466i −0.580093 0.814550i \(-0.696984\pi\)
0.625649 0.780105i \(-0.284834\pi\)
\(402\) −0.668428 0.328644i −0.0333381 0.0163913i
\(403\) −21.3948 + 15.5442i −1.06575 + 0.774312i
\(404\) 0.593612 + 6.91130i 0.0295333 + 0.343850i
\(405\) 2.39552 9.11349i 0.119034 0.452853i
\(406\) 5.83551 3.75025i 0.289611 0.186122i
\(407\) 34.4731 10.4790i 1.70877 0.519425i
\(408\) 3.10734 + 1.99697i 0.153836 + 0.0988647i
\(409\) −15.5329 + 14.2559i −0.768050 + 0.704910i −0.961076 0.276284i \(-0.910897\pi\)
0.193026 + 0.981194i \(0.438170\pi\)
\(410\) 11.7470 2.73164i 0.580141 0.134906i
\(411\) −3.40586 + 1.21521i −0.167999 + 0.0599418i
\(412\) 2.28413 + 8.68972i 0.112531 + 0.428112i
\(413\) −20.3460 18.6734i −1.00116 0.918858i
\(414\) −5.52982 3.12284i −0.271776 0.153479i
\(415\) −12.7678 16.5576i −0.626747 0.812780i
\(416\) 1.58181 + 2.31333i 0.0775548 + 0.113420i
\(417\) −4.12649 4.76222i −0.202075 0.233207i
\(418\) −4.57021 2.52394i −0.223536 0.123450i
\(419\) −1.66732 + 1.92419i −0.0814541 + 0.0940031i −0.795014 0.606592i \(-0.792536\pi\)
0.713560 + 0.700595i \(0.247082\pi\)
\(420\) 1.95377 + 0.224174i 0.0953341 + 0.0109386i
\(421\) −19.1577 6.83544i −0.933688 0.333139i −0.174981 0.984572i \(-0.555987\pi\)
−0.758707 + 0.651433i \(0.774168\pi\)
\(422\) 0.178168 2.07437i 0.00867308 0.100979i
\(423\) −12.0549 19.9909i −0.586132 0.971990i
\(424\) 2.80597 + 4.65318i 0.136270 + 0.225978i
\(425\) 1.70953 19.9037i 0.0829245 0.965472i
\(426\) −3.70938 1.32350i −0.179720 0.0641239i
\(427\) −16.1584 1.85400i −0.781958 0.0897213i
\(428\) 9.69510 11.1887i 0.468630 0.540828i
\(429\) −4.00075 + 2.96520i −0.193158 + 0.143161i
\(430\) −2.93753 3.39009i −0.141660 0.163485i
\(431\) −1.07041 1.56542i −0.0515597 0.0754037i 0.798831 0.601556i \(-0.205452\pi\)
−0.850390 + 0.526152i \(0.823634\pi\)
\(432\) −1.86910 2.42389i −0.0899270 0.116619i
\(433\) 28.0100 + 15.8179i 1.34607 + 0.760162i 0.985029 0.172387i \(-0.0551480\pi\)
0.361043 + 0.932549i \(0.382421\pi\)
\(434\) −17.5999 16.1531i −0.844824 0.775373i
\(435\) 0.541139 + 2.05870i 0.0259456 + 0.0987073i
\(436\) −6.35318 + 2.26681i −0.304262 + 0.108560i
\(437\) −3.58910 + 0.834610i −0.171690 + 0.0399248i
\(438\) 0.308811 0.283425i 0.0147556 0.0135425i
\(439\) −1.71359 1.10126i −0.0817853 0.0525603i 0.499109 0.866539i \(-0.333661\pi\)
−0.580894 + 0.813979i \(0.697297\pi\)
\(440\) −0.729576 4.75325i −0.0347812 0.226602i
\(441\) 1.34974 0.867426i 0.0642734 0.0413060i
\(442\) −4.91161 + 18.6857i −0.233621 + 0.888788i
\(443\) −1.15712 13.4721i −0.0549764 0.640079i −0.971020 0.239000i \(-0.923181\pi\)
0.916043 0.401080i \(-0.131365\pi\)
\(444\) 4.70883 3.42117i 0.223471 0.162361i
\(445\) 20.6381 + 10.1471i 0.978342 + 0.481018i
\(446\) −0.131374 + 4.59870i −0.00622075 + 0.217755i
\(447\) −0.449441 0.462464i −0.0212578 0.0218738i
\(448\) −1.76431 + 1.81543i −0.0833559 + 0.0857712i
\(449\) −0.505688 17.7014i −0.0238649 0.835380i −0.920073 0.391746i \(-0.871871\pi\)
0.896208 0.443633i \(-0.146311\pi\)
\(450\) −3.26567 + 7.15082i −0.153945 + 0.337093i
\(451\) −25.5121 10.4969i −1.20132 0.494281i
\(452\) 7.04463 + 15.4256i 0.331351 + 0.725558i
\(453\) 4.24470 2.08698i 0.199433 0.0980548i
\(454\) −3.57058 + 6.76700i −0.167576 + 0.317591i
\(455\) 2.04280 + 10.0816i 0.0957679 + 0.472633i
\(456\) −0.831029 0.143815i −0.0389165 0.00673477i
\(457\) −6.43417 + 19.8023i −0.300978 + 0.926314i 0.680170 + 0.733054i \(0.261906\pi\)
−0.981148 + 0.193259i \(0.938094\pi\)
\(458\) 8.67935 22.2927i 0.405559 1.04167i
\(459\) 4.19065 20.6817i 0.195603 0.965337i
\(460\) −2.62754 2.14853i −0.122510 0.100176i
\(461\) 8.14149 + 2.39056i 0.379187 + 0.111339i 0.465771 0.884905i \(-0.345777\pi\)
−0.0865841 + 0.996245i \(0.527595\pi\)
\(462\) −3.34291 3.01008i −0.155526 0.140042i
\(463\) 14.0361 4.12138i 0.652315 0.191537i 0.0612016 0.998125i \(-0.480507\pi\)
0.591113 + 0.806588i \(0.298689\pi\)
\(464\) −2.52399 1.06665i −0.117173 0.0495179i
\(465\) 6.38319 3.60475i 0.296013 0.167166i
\(466\) 4.48750 + 1.04352i 0.207880 + 0.0483403i
\(467\) 39.2925 4.50839i 1.81824 0.208623i 0.863150 0.504947i \(-0.168488\pi\)
0.955088 + 0.296324i \(0.0957607\pi\)
\(468\) 4.29138 6.27594i 0.198369 0.290105i
\(469\) 3.51367 0.200919i 0.162246 0.00927758i
\(470\) −4.52655 11.6263i −0.208794 0.536283i
\(471\) 2.69688 0.466713i 0.124266 0.0215050i
\(472\) −1.55250 + 10.7979i −0.0714598 + 0.497014i
\(473\) 0.975160 + 10.2143i 0.0448379 + 0.469654i
\(474\) −0.794814 5.52805i −0.0365070 0.253912i
\(475\) 1.40953 + 4.33809i 0.0646737 + 0.199045i
\(476\) −17.4243 0.996356i −0.798640 0.0456679i
\(477\) 9.00184 11.6738i 0.412166 0.534506i
\(478\) 7.44209 3.14505i 0.340393 0.143851i
\(479\) 27.0638 22.1299i 1.23658 1.01114i 0.237364 0.971421i \(-0.423717\pi\)
0.999211 0.0397216i \(-0.0126471\pi\)
\(480\) −0.362526 0.687063i −0.0165470 0.0313600i
\(481\) 24.6302 + 17.8949i 1.12304 + 0.815936i
\(482\) −4.20691 + 6.97638i −0.191619 + 0.317765i
\(483\) −3.17498 −0.144466
\(484\) −4.94754 + 9.82455i −0.224888 + 0.446571i
\(485\) 1.42508 0.0647097
\(486\) −6.53990 + 10.8452i −0.296656 + 0.491949i
\(487\) 15.8921 + 11.5463i 0.720141 + 0.523213i 0.886429 0.462864i \(-0.153178\pi\)
−0.166289 + 0.986077i \(0.553178\pi\)
\(488\) 2.99822 + 5.68226i 0.135723 + 0.257224i
\(489\) 3.62465 2.96386i 0.163912 0.134030i
\(490\) 0.789861 0.333798i 0.0356823 0.0150795i
\(491\) −9.38627 + 12.1723i −0.423596 + 0.549330i −0.954542 0.298076i \(-0.903655\pi\)
0.530946 + 0.847406i \(0.321837\pi\)
\(492\) −4.44920 0.254415i −0.200586 0.0114699i
\(493\) −5.83760 17.9663i −0.262912 0.809161i
\(494\) −0.627810 4.36652i −0.0282465 0.196459i
\(495\) −11.2986 + 6.52296i −0.507833 + 0.293185i
\(496\) −1.34297 + 9.34053i −0.0603009 + 0.419402i
\(497\) 18.3364 3.17324i 0.822501 0.142339i
\(498\) 2.80306 + 7.19960i 0.125608 + 0.322622i
\(499\) 34.4914 1.97229i 1.54405 0.0882917i 0.735825 0.677172i \(-0.236795\pi\)
0.808220 + 0.588880i \(0.200431\pi\)
\(500\) −6.46353 + 9.45261i −0.289058 + 0.422734i
\(501\) 7.95749 0.913036i 0.355514 0.0407915i
\(502\) −8.29236 1.92831i −0.370106 0.0860645i
\(503\) −0.174084 + 0.0983099i −0.00776203 + 0.00438342i −0.495609 0.868546i \(-0.665055\pi\)
0.487847 + 0.872929i \(0.337782\pi\)
\(504\) 6.32617 + 2.67346i 0.281790 + 0.119085i
\(505\) 9.65047 2.83363i 0.429440 0.126095i
\(506\) 2.04496 + 7.48965i 0.0909095 + 0.332956i
\(507\) 2.64560 + 0.776819i 0.117495 + 0.0344997i
\(508\) 11.2582 + 9.20582i 0.499504 + 0.408442i
\(509\) 4.27885 21.1169i 0.189657 0.935992i −0.766300 0.642483i \(-0.777904\pi\)
0.955956 0.293509i \(-0.0948230\pi\)
\(510\) 1.94308 4.99075i 0.0860408 0.220994i
\(511\) −0.612014 + 1.88359i −0.0270739 + 0.0833250i
\(512\) 0.985354 + 0.170522i 0.0435469 + 0.00753609i
\(513\) 0.956847 + 4.72223i 0.0422458 + 0.208491i
\(514\) −0.348641 + 0.660748i −0.0153779 + 0.0291444i
\(515\) 11.6909 5.74805i 0.515164 0.253289i
\(516\) 0.688566 + 1.50775i 0.0303124 + 0.0663750i
\(517\) −6.99251 + 27.6689i −0.307530 + 1.21688i
\(518\) −11.4245 + 25.0162i −0.501965 + 1.09915i
\(519\) 0.0414498 + 1.45093i 0.00181945 + 0.0636889i
\(520\) 2.83191 2.91397i 0.124187 0.127786i
\(521\) 5.36556 + 5.52103i 0.235070 + 0.241881i 0.824395 0.566015i \(-0.191516\pi\)
−0.589325 + 0.807896i \(0.700606\pi\)
\(522\) −0.212280 + 7.43078i −0.00929126 + 0.325236i
\(523\) −36.4267 17.9098i −1.59283 0.783141i −0.593071 0.805150i \(-0.702085\pi\)
−0.999758 + 0.0220089i \(0.992994\pi\)
\(524\) 0.164332 0.119394i 0.00717889 0.00521577i
\(525\) 0.336324 + 3.91575i 0.0146784 + 0.170897i
\(526\) 1.50354 5.72005i 0.0655573 0.249406i
\(527\) −54.7298 + 35.1727i −2.38407 + 1.53215i
\(528\) −0.236164 + 1.76119i −0.0102777 + 0.0766461i
\(529\) −14.7390 9.47219i −0.640827 0.411834i
\(530\) 5.80450 5.32732i 0.252131 0.231404i
\(531\) 28.8263 6.70326i 1.25095 0.290897i
\(532\) 3.75322 1.33915i 0.162723 0.0580594i
\(533\) −5.92587 22.5444i −0.256678 0.976504i
\(534\) −6.26081 5.74612i −0.270932 0.248659i
\(535\) −18.6916 10.5556i −0.808107 0.456359i
\(536\) −0.848944 1.10093i −0.0366688 0.0475530i
\(537\) 2.16326 + 3.16366i 0.0933514 + 0.136522i
\(538\) −5.26040 6.07082i −0.226792 0.261732i
\(539\) −1.91462 0.426091i −0.0824683 0.0183530i
\(540\) −2.90630 + 3.35405i −0.125067 + 0.144335i
\(541\) 38.4208 + 4.40838i 1.65184 + 0.189531i 0.889273 0.457377i \(-0.151211\pi\)
0.762568 + 0.646909i \(0.223938\pi\)
\(542\) −11.1458 3.97682i −0.478754 0.170819i
\(543\) 1.14385 13.3176i 0.0490872 0.571512i
\(544\) 3.56013 + 5.90381i 0.152639 + 0.253124i
\(545\) 5.05064 + 8.37555i 0.216346 + 0.358769i
\(546\) 0.325270 3.78705i 0.0139203 0.162071i
\(547\) 0.164912 + 0.0588407i 0.00705115 + 0.00251584i 0.339573 0.940580i \(-0.389718\pi\)
−0.332521 + 0.943096i \(0.607899\pi\)
\(548\) −6.70544 0.769377i −0.286442 0.0328662i
\(549\) 11.4142 13.1727i 0.487147 0.562198i
\(550\) 9.02048 3.31545i 0.384634 0.141371i
\(551\) 2.82464 + 3.25980i 0.120334 + 0.138872i
\(552\) 0.707912 + 1.03529i 0.0301307 + 0.0440648i
\(553\) 16.1141 + 20.8972i 0.685243 + 0.888639i
\(554\) −4.32097 2.44016i −0.183580 0.103673i
\(555\) −6.21758 5.70644i −0.263921 0.242225i
\(556\) −2.98991 11.3748i −0.126800 0.482399i
\(557\) 34.3682 12.2625i 1.45623 0.519580i 0.514951 0.857220i \(-0.327810\pi\)
0.941276 + 0.337639i \(0.109628\pi\)
\(558\) 24.9356 5.79853i 1.05561 0.245472i
\(559\) −6.38752 + 5.86242i −0.270163 + 0.247954i
\(560\) 3.08787 + 1.98445i 0.130486 + 0.0838585i
\(561\) −10.2425 + 6.72082i −0.432439 + 0.283753i
\(562\) 25.1872 16.1868i 1.06246 0.682800i
\(563\) −6.36670 + 24.2214i −0.268324 + 1.02081i 0.687336 + 0.726340i \(0.258780\pi\)
−0.955660 + 0.294472i \(0.904856\pi\)
\(564\) 0.394519 + 4.59330i 0.0166122 + 0.193413i
\(565\) 19.8923 14.4526i 0.836874 0.608024i
\(566\) 11.5050 + 5.65661i 0.483590 + 0.237765i
\(567\) 0.469809 16.4455i 0.0197301 0.690644i
\(568\) −5.12312 5.27157i −0.214962 0.221190i
\(569\) −28.3488 + 29.1703i −1.18845 + 1.22288i −0.219498 + 0.975613i \(0.570442\pi\)
−0.968947 + 0.247268i \(0.920467\pi\)
\(570\) 0.0349199 + 1.22236i 0.00146263 + 0.0511988i
\(571\) −7.35891 + 16.1138i −0.307961 + 0.674340i −0.998816 0.0486532i \(-0.984507\pi\)
0.690855 + 0.722993i \(0.257234\pi\)
\(572\) −9.14301 + 1.67189i −0.382288 + 0.0699051i
\(573\) −1.46710 3.21251i −0.0612891 0.134204i
\(574\) 18.8963 9.29070i 0.788717 0.387786i
\(575\) 3.16544 5.99918i 0.132008 0.250183i
\(576\) −0.538766 2.65891i −0.0224486 0.110788i
\(577\) 3.91898 + 0.678207i 0.163149 + 0.0282341i 0.251512 0.967854i \(-0.419072\pi\)
−0.0883621 + 0.996088i \(0.528163\pi\)
\(578\) −9.43415 + 29.0353i −0.392409 + 1.20771i
\(579\) 0.393275 1.01012i 0.0163440 0.0419791i
\(580\) −0.789004 + 3.89389i −0.0327616 + 0.161685i
\(581\) −28.2603 23.1083i −1.17243 0.958695i
\(582\) −0.505257 0.148357i −0.0209436 0.00614958i
\(583\) −17.8839 + 2.22434i −0.740675 + 0.0921229i
\(584\) 0.750654 0.220412i 0.0310623 0.00912070i
\(585\) −10.1542 4.29119i −0.419824 0.177419i
\(586\) 5.52805 3.12183i 0.228361 0.128962i
\(587\) 9.35463 + 2.17533i 0.386107 + 0.0897853i 0.415057 0.909796i \(-0.363762\pi\)
−0.0289497 + 0.999581i \(0.509216\pi\)
\(588\) −0.314791 + 0.0361189i −0.0129818 + 0.00148952i
\(589\) 8.38452 12.2620i 0.345478 0.505246i
\(590\) 15.7915 0.902993i 0.650127 0.0371756i
\(591\) −3.82631 9.82780i −0.157393 0.404262i
\(592\) 10.7045 1.85249i 0.439953 0.0761368i
\(593\) 0.231659 1.61122i 0.00951310 0.0661651i −0.984512 0.175318i \(-0.943905\pi\)
0.994025 + 0.109153i \(0.0348138\pi\)
\(594\) 9.86555 2.39317i 0.404788 0.0981928i
\(595\) 3.60134 + 25.0479i 0.147641 + 1.02686i
\(596\) −0.371947 1.14473i −0.0152355 0.0468901i
\(597\) −10.1691 0.581490i −0.416193 0.0237988i
\(598\) −4.00594 + 5.19499i −0.163815 + 0.212439i
\(599\) −11.3351 + 4.79027i −0.463142 + 0.195725i −0.608339 0.793677i \(-0.708164\pi\)
0.145197 + 0.989403i \(0.453618\pi\)
\(600\) 1.20185 0.982747i 0.0490653 0.0401205i
\(601\) 16.5607 + 31.3861i 0.675526 + 1.28026i 0.948052 + 0.318116i \(0.103050\pi\)
−0.272526 + 0.962149i \(0.587859\pi\)
\(602\) −6.33610 4.60344i −0.258240 0.187622i
\(603\) −1.94766 + 3.22984i −0.0793150 + 0.131529i
\(604\) 8.82838 0.359222
\(605\) 15.3859 + 4.20185i 0.625527 + 0.170829i
\(606\) −3.71652 −0.150973
\(607\) 15.0877 25.0202i 0.612393 1.01554i −0.383371 0.923594i \(-0.625237\pi\)
0.995764 0.0919452i \(-0.0293085\pi\)
\(608\) −1.27351 0.925256i −0.0516475 0.0375241i
\(609\) 1.73436 + 3.28698i 0.0702799 + 0.133195i
\(610\) 7.21152 5.89683i 0.291986 0.238756i
\(611\) −22.2123 + 9.38698i −0.898612 + 0.379757i
\(612\) 11.4213 14.8114i 0.461677 0.598714i
\(613\) −25.0746 1.43382i −1.01275 0.0579114i −0.457177 0.889376i \(-0.651139\pi\)
−0.555578 + 0.831464i \(0.687503\pi\)
\(614\) −5.01012 15.4196i −0.202192 0.622283i
\(615\) 0.919585 + 6.39586i 0.0370813 + 0.257906i
\(616\) −3.12038 7.79473i −0.125723 0.314059i
\(617\) −4.31305 + 29.9980i −0.173637 + 1.20767i 0.697483 + 0.716602i \(0.254303\pi\)
−0.871120 + 0.491071i \(0.836606\pi\)
\(618\) −4.74336 + 0.820871i −0.190806 + 0.0330203i
\(619\) 6.95828 + 17.8722i 0.279677 + 0.718344i 0.999702 + 0.0243964i \(0.00776638\pi\)
−0.720026 + 0.693947i \(0.755870\pi\)
\(620\) 13.6602 0.781118i 0.548606 0.0313704i
\(621\) 4.04427 5.91455i 0.162291 0.237343i
\(622\) −13.2133 + 1.51608i −0.529805 + 0.0607894i
\(623\) 39.1093 + 9.09449i 1.56688 + 0.364363i
\(624\) −1.30740 + 0.738320i −0.0523377 + 0.0295565i
\(625\) 1.94835 + 0.823378i 0.0779339 + 0.0329351i
\(626\) −23.6791 + 6.95281i −0.946407 + 0.277890i
\(627\) 1.55684 2.32389i 0.0621742 0.0928073i
\(628\) 4.90151 + 1.43921i 0.195592 + 0.0574309i
\(629\) 57.9798 + 47.4099i 2.31181 + 1.89036i
\(630\) 1.97757 9.75970i 0.0787883 0.388836i
\(631\) 5.21790 13.4021i 0.207721 0.533528i −0.789004 0.614388i \(-0.789403\pi\)
0.996725 + 0.0808599i \(0.0257666\pi\)
\(632\) 3.22120 9.91382i 0.128132 0.394351i
\(633\) 1.09915 + 0.190215i 0.0436871 + 0.00756036i
\(634\) 5.79197 + 28.5845i 0.230028 + 1.13524i
\(635\) 9.84030 18.6494i 0.390500 0.740081i
\(636\) −2.61255 + 1.28451i −0.103594 + 0.0509340i
\(637\) −0.688492 1.50759i −0.0272791 0.0597328i
\(638\) 6.63679 6.20839i 0.262753 0.245793i
\(639\) −8.28447 + 18.1405i −0.327728 + 0.717625i
\(640\) −0.0414046 1.44935i −0.00163666 0.0572906i
\(641\) −18.4874 + 19.0231i −0.730208 + 0.751366i −0.975956 0.217968i \(-0.930057\pi\)
0.245748 + 0.969334i \(0.420966\pi\)
\(642\) 5.52813 + 5.68831i 0.218178 + 0.224500i
\(643\) 0.944595 33.0651i 0.0372512 1.30396i −0.739072 0.673626i \(-0.764736\pi\)
0.776323 0.630335i \(-0.217082\pi\)
\(644\) −5.31796 2.61467i −0.209557 0.103032i
\(645\) 1.94434 1.41264i 0.0765582 0.0556228i
\(646\) −0.928693 10.8126i −0.0365389 0.425415i
\(647\) −3.74664 + 14.2537i −0.147296 + 0.560371i 0.852024 + 0.523502i \(0.175375\pi\)
−0.999320 + 0.0368690i \(0.988262\pi\)
\(648\) −5.46724 + 3.51358i −0.214774 + 0.138027i
\(649\) −30.6218 19.2708i −1.20201 0.756444i
\(650\) 6.83141 + 4.39028i 0.267950 + 0.172201i
\(651\) 9.42957 8.65438i 0.369574 0.339192i
\(652\) 8.51194 1.97937i 0.333353 0.0775180i
\(653\) −19.6473 + 7.01015i −0.768859 + 0.274329i −0.691212 0.722652i \(-0.742923\pi\)
−0.0776478 + 0.996981i \(0.524741\pi\)
\(654\) −0.918754 3.49530i −0.0359261 0.136677i
\(655\) −0.216986 0.199148i −0.00847833 0.00778134i
\(656\) −7.24273 4.09016i −0.282781 0.159694i
\(657\) −1.29607 1.68078i −0.0505647 0.0655734i
\(658\) −12.2954 17.9814i −0.479324 0.700988i
\(659\) −23.2424 26.8231i −0.905395 1.04488i −0.998786 0.0492516i \(-0.984316\pi\)
0.0933919 0.995629i \(-0.470229\pi\)
\(660\) 2.57077 0.171523i 0.100067 0.00667651i
\(661\) 3.50858 4.04912i 0.136468 0.157493i −0.683402 0.730042i \(-0.739500\pi\)
0.819870 + 0.572550i \(0.194046\pi\)
\(662\) −23.2532 2.66806i −0.903762 0.103697i
\(663\) −9.74937 3.47857i −0.378634 0.135096i
\(664\) −1.23402 + 14.3674i −0.0478892 + 0.557564i
\(665\) −2.98373 4.94796i −0.115704 0.191874i
\(666\) −15.2195 25.2387i −0.589744 0.977980i
\(667\) 0.548903 6.39076i 0.0212536 0.247451i
\(668\) 14.0804 + 5.02387i 0.544786 + 0.194379i
\(669\) −2.44879 0.280973i −0.0946759 0.0108630i
\(670\) −1.32004 + 1.52341i −0.0509977 + 0.0588545i
\(671\) −21.2612 + 1.41855i −0.820780 + 0.0547627i
\(672\) −0.888201 1.02504i −0.0342631 0.0395417i
\(673\) 17.7847 + 26.0092i 0.685548 + 1.00258i 0.998603 + 0.0528468i \(0.0168295\pi\)
−0.313055 + 0.949735i \(0.601352\pi\)
\(674\) 17.6414 + 22.8777i 0.679520 + 0.881217i
\(675\) −7.72291 4.36133i −0.297255 0.167868i
\(676\) 3.79155 + 3.47985i 0.145829 + 0.133841i
\(677\) −3.88941 14.7968i −0.149482 0.568689i −0.999144 0.0413613i \(-0.986831\pi\)
0.849662 0.527327i \(-0.176806\pi\)
\(678\) −8.55728 + 3.05323i −0.328640 + 0.117259i
\(679\) 2.42346 0.563551i 0.0930038 0.0216271i
\(680\) 7.36457 6.75914i 0.282418 0.259201i
\(681\) −3.44857 2.21626i −0.132149 0.0849273i
\(682\) −26.4888 16.6698i −1.01431 0.638321i
\(683\) −33.7047 + 21.6607i −1.28967 + 0.828823i −0.992048 0.125860i \(-0.959831\pi\)
−0.297625 + 0.954683i \(0.596195\pi\)
\(684\) −1.08565 + 4.13026i −0.0415110 + 0.157924i
\(685\) 0.837461 + 9.75038i 0.0319977 + 0.372543i
\(686\) 15.5475 11.2959i 0.593607 0.431281i
\(687\) 11.5021 + 5.65520i 0.438832 + 0.215759i
\(688\) −0.0883448 + 3.09247i −0.00336811 + 0.117899i
\(689\) −10.6127 10.9203i −0.404314 0.416029i
\(690\) 1.26737 1.30409i 0.0482480 0.0496460i
\(691\) 0.884341 + 30.9560i 0.0336419 + 1.17762i 0.824587 + 0.565735i \(0.191407\pi\)
−0.790945 + 0.611887i \(0.790411\pi\)
\(692\) −1.12545 + 2.46439i −0.0427832 + 0.0936821i
\(693\) −16.6345 + 15.5608i −0.631894 + 0.591106i
\(694\) −8.24749 18.0595i −0.313070 0.685529i
\(695\) −15.3034 + 7.52416i −0.580490 + 0.285408i
\(696\) 0.685107 1.29842i 0.0259689 0.0492166i
\(697\) −11.3881 56.2024i −0.431355 2.12882i
\(698\) −4.20813 0.728245i −0.159280 0.0275645i
\(699\) −0.762788 + 2.34762i −0.0288513 + 0.0887951i
\(700\) −2.66138 + 6.83569i −0.100591 + 0.258365i
\(701\) −0.845344 + 4.17193i −0.0319282 + 0.157572i −0.992875 0.119162i \(-0.961979\pi\)
0.960947 + 0.276734i \(0.0892520\pi\)
\(702\) 6.64043 + 5.42985i 0.250627 + 0.204937i
\(703\) −16.4082 4.81787i −0.618846 0.181709i
\(704\) −1.84595 + 2.75544i −0.0695718 + 0.103850i
\(705\) 6.41377 1.88325i 0.241556 0.0709274i
\(706\) 2.83887 + 1.19972i 0.106842 + 0.0451520i
\(707\) 15.2908 8.63508i 0.575068 0.324756i
\(708\) −5.69282 1.32381i −0.213949 0.0497518i
\(709\) −43.2430 + 4.96168i −1.62403 + 0.186340i −0.877690 0.479229i \(-0.840916\pi\)
−0.746336 + 0.665569i \(0.768189\pi\)
\(710\) −6.01606 + 8.79820i −0.225779 + 0.330191i
\(711\) −28.2337 + 1.61446i −1.05885 + 0.0605470i
\(712\) −5.75455 14.7804i −0.215661 0.553920i
\(713\) −21.7663 + 3.76681i −0.815156 + 0.141068i
\(714\) 1.33074 9.25552i 0.0498018 0.346379i
\(715\) 5.00854 + 12.5114i 0.187309 + 0.467899i
\(716\) 1.01802 + 7.08050i 0.0380453 + 0.264611i
\(717\) 1.33764 + 4.11684i 0.0499552 + 0.153746i
\(718\) 33.3210 + 1.90536i 1.24353 + 0.0711075i
\(719\) −27.7041 + 35.9273i −1.03319 + 1.33986i −0.0943383 + 0.995540i \(0.530074\pi\)
−0.938851 + 0.344324i \(0.888108\pi\)
\(720\) −3.62335 + 1.53124i −0.135034 + 0.0570659i
\(721\) 17.6082 14.3982i 0.655764 0.536216i
\(722\) −7.71032 14.6127i −0.286948 0.543827i
\(723\) −3.53116 2.56554i −0.131325 0.0954134i
\(724\) 12.8832 21.3644i 0.478801 0.794003i
\(725\) −7.93997 −0.294883
\(726\) −5.01758 3.09148i −0.186220 0.114736i
\(727\) 33.7682 1.25239 0.626196 0.779666i \(-0.284611\pi\)
0.626196 + 0.779666i \(0.284611\pi\)
\(728\) 3.66354 6.07529i 0.135780 0.225165i
\(729\) 10.2838 + 7.47163i 0.380882 + 0.276727i
\(730\) −0.529366 1.00326i −0.0195927 0.0371323i
\(731\) −16.5114 + 13.5013i −0.610698 + 0.499365i
\(732\) −3.17070 + 1.33995i −0.117192 + 0.0495259i
\(733\) −2.46611 + 3.19811i −0.0910879 + 0.118125i −0.835241 0.549885i \(-0.814672\pi\)
0.744153 + 0.668010i \(0.232853\pi\)
\(734\) −9.96856 0.570023i −0.367946 0.0210399i
\(735\) 0.141970 + 0.436938i 0.00523663 + 0.0161167i
\(736\) 0.333141 + 2.31705i 0.0122798 + 0.0854076i
\(737\) 4.48094 1.08698i 0.165057 0.0400393i
\(738\) −3.21146 + 22.3362i −0.118215 + 0.822206i
\(739\) −50.5157 + 8.74209i −1.85825 + 0.321583i −0.985905 0.167306i \(-0.946493\pi\)
−0.872346 + 0.488889i \(0.837402\pi\)
\(740\) −5.71481 14.6784i −0.210081 0.539588i
\(741\) 2.35966 0.134930i 0.0866844 0.00495679i
\(742\) 7.76428 11.3549i 0.285036 0.416851i
\(743\) 53.1090 6.09369i 1.94838 0.223556i 0.951834 0.306613i \(-0.0991958\pi\)
0.996545 + 0.0830574i \(0.0264685\pi\)
\(744\) −4.92447 1.14514i −0.180540 0.0419828i
\(745\) −1.51964 + 0.858179i −0.0556753 + 0.0314413i
\(746\) 9.77845 + 4.13241i 0.358015 + 0.151298i
\(747\) 37.5369 11.0218i 1.37340 0.403267i
\(748\) −22.6905 + 2.82218i −0.829648 + 0.103189i
\(749\) −35.9606 10.5590i −1.31397 0.385817i
\(750\) −4.74953 3.88367i −0.173428 0.141812i
\(751\) 4.28449 21.1448i 0.156343 0.771585i −0.822787 0.568350i \(-0.807582\pi\)
0.979130 0.203235i \(-0.0651455\pi\)
\(752\) −3.12188 + 8.01849i −0.113843 + 0.292404i
\(753\) 1.40954 4.33812i 0.0513665 0.158090i
\(754\) 7.56654 + 1.30944i 0.275557 + 0.0476870i
\(755\) −2.54208 12.5457i −0.0925159 0.456584i
\(756\) −3.61601 + 6.85310i −0.131513 + 0.249245i
\(757\) −9.19165 + 4.51923i −0.334076 + 0.164254i −0.600548 0.799588i \(-0.705051\pi\)
0.266472 + 0.963843i \(0.414142\pi\)
\(758\) 0.715021 + 1.56568i 0.0259707 + 0.0568680i
\(759\) −4.09179 + 0.748223i −0.148523 + 0.0271588i
\(760\) −0.948148 + 2.07615i −0.0343929 + 0.0753101i
\(761\) −0.507463 17.7635i −0.0183955 0.643927i −0.955519 0.294929i \(-0.904704\pi\)
0.937124 0.348998i \(-0.113478\pi\)
\(762\) −5.43031 + 5.58766i −0.196720 + 0.202420i
\(763\) 11.9011 + 12.2459i 0.430849 + 0.443333i
\(764\) 0.188233 6.58901i 0.00681003 0.238382i
\(765\) −24.3366 11.9655i −0.879890 0.432613i
\(766\) 5.43293 3.94726i 0.196300 0.142620i
\(767\) −2.61616 30.4594i −0.0944641 1.09983i
\(768\) −0.136203 + 0.518171i −0.00491481 + 0.0186979i
\(769\) −23.9701 + 15.4046i −0.864384 + 0.555506i −0.896030 0.443994i \(-0.853561\pi\)
0.0316464 + 0.999499i \(0.489925\pi\)
\(770\) −10.1783 + 6.67870i −0.366801 + 0.240684i
\(771\) −0.336728 0.216402i −0.0121270 0.00779352i
\(772\) 1.49058 1.36804i 0.0536471 0.0492368i
\(773\) 11.9755 2.78477i 0.430727 0.100161i −0.00552704 0.999985i \(-0.501759\pi\)
0.436254 + 0.899823i \(0.356305\pi\)
\(774\) 7.90502 2.82051i 0.284140 0.101381i
\(775\) 6.95137 + 26.4457i 0.249700 + 0.949959i
\(776\) −0.724110 0.664582i −0.0259940 0.0238571i
\(777\) −12.8301 7.24547i −0.460276 0.259930i
\(778\) 6.93439 + 8.99267i 0.248610 + 0.322403i
\(779\) 7.39051 + 10.8083i 0.264792 + 0.387246i
\(780\) 1.42566 + 1.64530i 0.0510467 + 0.0589111i
\(781\) 22.8835 8.41076i 0.818835 0.300961i
\(782\) −10.5684 + 12.1966i −0.377925 + 0.436149i
\(783\) −8.33242 0.956056i −0.297776 0.0341667i
\(784\) −0.557008 0.198740i −0.0198931 0.00709786i
\(785\) 0.633849 7.37977i 0.0226231 0.263395i
\(786\) 0.0561992 + 0.0931959i 0.00200456 + 0.00332419i
\(787\) 2.51070 + 4.16353i 0.0894969 + 0.148414i 0.897876 0.440248i \(-0.145109\pi\)
−0.808379 + 0.588662i \(0.799655\pi\)
\(788\) 1.68450 19.6122i 0.0600077 0.698657i
\(789\) 2.98447 + 1.06486i 0.106250 + 0.0379099i
\(790\) −15.0157 1.72289i −0.534234 0.0612977i
\(791\) 28.1129 32.4441i 0.999581 1.15358i
\(792\) 8.78296 + 1.95462i 0.312089 + 0.0694542i
\(793\) −11.7907 13.6072i −0.418700 0.483206i
\(794\) −8.64720 12.6461i −0.306878 0.448794i
\(795\) 2.57763 + 3.34274i 0.0914193 + 0.118555i
\(796\) −16.5540 9.34845i −0.586740 0.331347i
\(797\) −7.73752 7.10143i −0.274077 0.251545i 0.527336 0.849657i \(-0.323191\pi\)
−0.801413 + 0.598111i \(0.795918\pi\)
\(798\) 0.542766 + 2.06490i 0.0192137 + 0.0730965i
\(799\) −55.8728 + 19.9354i −1.97664 + 0.705263i
\(800\) 2.82236 0.656312i 0.0997856 0.0232041i
\(801\) −31.7023 + 29.0961i −1.12015 + 1.02806i
\(802\) 26.8747 + 17.2713i 0.948977 + 0.609871i
\(803\) −0.344850 + 2.57172i −0.0121695 + 0.0907541i
\(804\) 0.626608 0.402697i 0.0220988 0.0142020i
\(805\) −2.18433 + 8.31004i −0.0769874 + 0.292890i
\(806\) −2.26306 26.3484i −0.0797130 0.928082i
\(807\) 3.48183 2.52970i 0.122566 0.0890497i
\(808\) −6.22502 3.06064i −0.218996 0.107673i
\(809\) −0.445498 + 15.5945i −0.0156629 + 0.548272i 0.953435 + 0.301597i \(0.0975198\pi\)
−0.969098 + 0.246675i \(0.920662\pi\)
\(810\) 6.56729 + 6.75758i 0.230751 + 0.237437i
\(811\) 19.3517 19.9125i 0.679532 0.699222i −0.286373 0.958118i \(-0.592450\pi\)
0.965905 + 0.258897i \(0.0833589\pi\)
\(812\) 0.198084 + 6.93385i 0.00695139 + 0.243331i
\(813\) 2.63388 5.76739i 0.0923742 0.202271i
\(814\) −8.82812 + 34.9323i −0.309425 + 1.22438i
\(815\) −5.26377 11.5261i −0.184382 0.403740i
\(816\) −3.31473 + 1.62974i −0.116039 + 0.0570524i
\(817\) 2.27265 4.30716i 0.0795101 0.150688i
\(818\) −4.18692 20.6633i −0.146392 0.722474i
\(819\) −18.9649 3.28200i −0.662686 0.114682i
\(820\) −3.72686 + 11.4701i −0.130148 + 0.400554i
\(821\) 0.0893070 0.229383i 0.00311684 0.00800553i −0.930297 0.366807i \(-0.880451\pi\)
0.933414 + 0.358802i \(0.116815\pi\)
\(822\) 0.718135 3.54414i 0.0250478 0.123616i
\(823\) 10.1771 + 8.32180i 0.354753 + 0.290080i 0.793549 0.608507i \(-0.208231\pi\)
−0.438796 + 0.898587i \(0.644595\pi\)
\(824\) −8.62095 2.53134i −0.300325 0.0881834i
\(825\) 1.35624 + 4.96721i 0.0472181 + 0.172936i
\(826\) 26.4976 7.78039i 0.921968 0.270714i
\(827\) 39.6928 + 16.7743i 1.38025 + 0.583300i 0.947948 0.318426i \(-0.103154\pi\)
0.432307 + 0.901727i \(0.357700\pi\)
\(828\) 5.52982 3.12284i 0.192175 0.108526i
\(829\) −14.2510 3.31392i −0.494957 0.115097i −0.0284148 0.999596i \(-0.509046\pi\)
−0.466542 + 0.884499i \(0.654500\pi\)
\(830\) 20.7723 2.38340i 0.721019 0.0827292i
\(831\) 1.50069 2.19469i 0.0520583 0.0761329i
\(832\) −2.79786 + 0.159987i −0.0969984 + 0.00554657i
\(833\) −1.47925 3.79941i −0.0512528 0.131642i
\(834\) 6.20903 1.07452i 0.215001 0.0372074i
\(835\) 3.08486 21.4557i 0.106756 0.742505i
\(836\) 4.52142 2.61033i 0.156377 0.0902803i
\(837\) 4.11061 + 28.5899i 0.142083 + 0.988211i
\(838\) −0.786780 2.42146i −0.0271789 0.0836480i
\(839\) 12.7661 + 0.729993i 0.440735 + 0.0252021i 0.276048 0.961144i \(-0.410975\pi\)
0.164687 + 0.986346i \(0.447339\pi\)
\(840\) −1.20089 + 1.55734i −0.0414347 + 0.0537335i
\(841\) 19.7965 8.36608i 0.682639 0.288486i
\(842\) 15.7465 12.8758i 0.542660 0.443731i
\(843\) 7.48585 + 14.1873i 0.257826 + 0.488635i
\(844\) 1.68438 + 1.22377i 0.0579788 + 0.0421240i
\(845\) 3.85334 6.39004i 0.132559 0.219824i
\(846\) 23.3443 0.802594
\(847\) 27.8265 + 1.06116i 0.956130 + 0.0364619i
\(848\) −5.43374 −0.186596
\(849\) −3.54703 + 5.88209i −0.121734 + 0.201873i
\(850\) 16.1617 + 11.7422i 0.554343 + 0.402754i
\(851\) 11.8675 + 22.4915i 0.406814 + 0.770998i
\(852\) 3.04889 2.49307i 0.104453 0.0854111i
\(853\) −38.2843 + 16.1791i −1.31083 + 0.553962i −0.928935 0.370244i \(-0.879274\pi\)
−0.381896 + 0.924205i \(0.624729\pi\)
\(854\) 9.93181 12.8798i 0.339860 0.440738i
\(855\) 6.18197 + 0.353498i 0.211419 + 0.0120894i
\(856\) 4.57494 + 14.0802i 0.156368 + 0.481252i
\(857\) −0.547864 3.81048i −0.0187147 0.130163i 0.978322 0.207089i \(-0.0663988\pi\)
−0.997037 + 0.0769252i \(0.975490\pi\)
\(858\) −0.473270 4.95726i −0.0161572 0.169238i
\(859\) −5.01199 + 34.8591i −0.171007 + 1.18938i 0.705756 + 0.708455i \(0.250607\pi\)
−0.876763 + 0.480923i \(0.840302\pi\)
\(860\) 4.42003 0.764917i 0.150722 0.0260835i
\(861\) 4.09307 + 10.5130i 0.139491 + 0.358281i
\(862\) 1.89330 0.108263i 0.0644861 0.00368745i
\(863\) 25.3516 37.0755i 0.862977 1.26206i −0.100679 0.994919i \(-0.532101\pi\)
0.963656 0.267145i \(-0.0860803\pi\)
\(864\) 3.04089 0.348910i 0.103453 0.0118701i
\(865\) 3.82612 + 0.889727i 0.130092 + 0.0302516i
\(866\) −28.0100 + 15.8179i −0.951817 + 0.537516i
\(867\) −15.0667 6.36725i −0.511693 0.216243i
\(868\) 22.9212 6.73028i 0.777998 0.228441i
\(869\) 25.6920 + 23.1340i 0.871541 + 0.784767i
\(870\) −2.04241 0.599706i −0.0692443 0.0203320i
\(871\) 3.01609 + 2.46624i 0.102196 + 0.0835654i
\(872\) 1.33958 6.61111i 0.0453641 0.223880i
\(873\) −0.967403 + 2.48475i −0.0327416 + 0.0840962i
\(874\) 1.13869 3.50452i 0.0385166 0.118542i
\(875\) 28.5643 + 4.94324i 0.965649 + 0.167112i
\(876\) 0.0832409 + 0.410810i 0.00281245 + 0.0138800i
\(877\) 12.1190 22.9681i 0.409230 0.775576i −0.590270 0.807206i \(-0.700979\pi\)
0.999500 + 0.0316295i \(0.0100697\pi\)
\(878\) 1.82796 0.898746i 0.0616906 0.0303312i
\(879\) 1.41300 + 3.09404i 0.0476594 + 0.104360i
\(880\) 4.44719 + 1.82979i 0.149915 + 0.0616823i
\(881\) 1.26604 2.77225i 0.0426541 0.0933995i −0.887105 0.461567i \(-0.847287\pi\)
0.929760 + 0.368167i \(0.120015\pi\)
\(882\) 0.0458165 + 1.60379i 0.00154272 + 0.0540023i
\(883\) −17.0099 + 17.5028i −0.572428 + 0.589015i −0.940082 0.340948i \(-0.889252\pi\)
0.367654 + 0.929963i \(0.380161\pi\)
\(884\) −13.4651 13.8553i −0.452881 0.466004i
\(885\) −0.241998 + 8.47104i −0.00813468 + 0.284751i
\(886\) 12.1344 + 5.96606i 0.407662 + 0.200434i
\(887\) −14.9109 + 10.8334i −0.500658 + 0.363749i −0.809268 0.587439i \(-0.800136\pi\)
0.308610 + 0.951189i \(0.400136\pi\)
\(888\) 0.498084 + 5.79909i 0.0167146 + 0.194605i
\(889\) 9.35920 35.6061i 0.313898 1.19419i
\(890\) −19.3469 + 12.4335i −0.648511 + 0.416773i
\(891\) −3.27010 21.3050i −0.109553 0.713744i
\(892\) −3.87025 2.48726i −0.129585 0.0832795i
\(893\) 9.97926 9.15888i 0.333943 0.306490i
\(894\) 0.628121 0.146063i 0.0210075 0.00488508i
\(895\) 9.76870 3.48547i 0.326532 0.116506i
\(896\) −0.643559 2.44835i −0.0214998 0.0817937i
\(897\) −2.58946 2.37658i −0.0864595 0.0793518i
\(898\) 15.4197 + 8.70790i 0.514562 + 0.290586i
\(899\) 15.7898 + 20.4765i 0.526618 + 0.682931i
\(900\) −4.43721 6.48922i −0.147907 0.216307i
\(901\) −24.5318 28.3112i −0.817274 0.943184i
\(902\) 22.1634 16.4267i 0.737960 0.546948i
\(903\) 2.74786 3.17119i 0.0914429 0.105531i
\(904\) −16.8475 1.93307i −0.560340 0.0642930i
\(905\) −34.0699 12.1561i −1.13252 0.404082i
\(906\) −0.404770 + 4.71265i −0.0134476 + 0.156567i
\(907\) 1.96843 + 3.26428i 0.0653607 + 0.108389i 0.887313 0.461168i \(-0.152569\pi\)
−0.821952 + 0.569557i \(0.807115\pi\)
\(908\) −3.95108 6.55213i −0.131121 0.217440i
\(909\) −1.61044 + 18.7500i −0.0534149 + 0.621898i
\(910\) −9.68827 3.45677i −0.321163 0.114591i
\(911\) 49.2933 + 5.65588i 1.63316 + 0.187388i 0.881507 0.472171i \(-0.156529\pi\)
0.751653 + 0.659558i \(0.229257\pi\)
\(912\) 0.552297 0.637385i 0.0182884 0.0211059i
\(913\) −41.8666 23.1213i −1.38558 0.765202i
\(914\) −13.6351 15.7358i −0.451010 0.520493i
\(915\) 2.81713 + 4.11993i 0.0931316 + 0.136201i
\(916\) 14.6084 + 18.9445i 0.482674 + 0.625943i
\(917\) −0.447753 0.252858i −0.0147861 0.00835010i
\(918\) 15.5467 + 14.2686i 0.513117 + 0.470934i
\(919\) −0.162104 0.616706i −0.00534730 0.0203433i 0.964420 0.264376i \(-0.0851660\pi\)
−0.969767 + 0.244033i \(0.921530\pi\)
\(920\) 3.19675 1.14060i 0.105394 0.0376044i
\(921\) 8.46079 1.96747i 0.278793 0.0648304i
\(922\) −6.25140 + 5.73748i −0.205879 + 0.188954i
\(923\) 17.3302 + 11.1374i 0.570429 + 0.366593i
\(924\) 4.30395 1.30830i 0.141590 0.0430399i
\(925\) 26.4820 17.0189i 0.870722 0.559579i
\(926\) −3.71889 + 14.1481i −0.122210 + 0.464936i
\(927\) 2.08594 + 24.2862i 0.0685113 + 0.797662i
\(928\) 2.21681 1.61060i 0.0727703 0.0528707i
\(929\) 32.1772 + 15.8205i 1.05570 + 0.519053i 0.884672 0.466213i \(-0.154382\pi\)
0.171028 + 0.985266i \(0.445291\pi\)
\(930\) −0.209336 + 7.32772i −0.00686440 + 0.240286i
\(931\) 0.648813 + 0.667612i 0.0212640 + 0.0218801i
\(932\) −3.21096 + 3.30400i −0.105178 + 0.108226i
\(933\) −0.203484 7.12287i −0.00666176 0.233192i
\(934\) −16.4298 + 35.9762i −0.537598 + 1.17718i
\(935\) 10.5441 + 31.4320i 0.344829 + 1.02794i
\(936\) 3.15834 + 6.91579i 0.103233 + 0.226050i
\(937\) −13.1187 + 6.45001i −0.428568 + 0.210713i −0.642742 0.766083i \(-0.722203\pi\)
0.214174 + 0.976796i \(0.431294\pi\)
\(938\) −1.64239 + 3.11268i −0.0536261 + 0.101633i
\(939\) −2.62580 12.9589i −0.0856899 0.422896i
\(940\) 12.2937 + 2.12751i 0.400976 + 0.0693917i
\(941\) −16.7346 + 51.5040i −0.545534 + 1.67898i 0.174183 + 0.984713i \(0.444272\pi\)
−0.719717 + 0.694268i \(0.755728\pi\)
\(942\) −0.992992 + 2.55048i −0.0323534 + 0.0830991i
\(943\) 3.86676 19.0832i 0.125919 0.621435i
\(944\) −8.44507 6.90550i −0.274864 0.224755i
\(945\) 10.7799 + 3.16527i 0.350670 + 0.102966i
\(946\) −9.25058 4.43956i −0.300762 0.144343i
\(947\) 49.1370 14.4279i 1.59674 0.468844i 0.642101 0.766620i \(-0.278063\pi\)
0.954636 + 0.297776i \(0.0962447\pi\)
\(948\) 5.14438 + 2.17404i 0.167082 + 0.0706094i
\(949\) −1.90908 + 1.07811i −0.0619714 + 0.0349968i
\(950\) −4.44279 1.03313i −0.144143 0.0335191i
\(951\) −15.5242 + 1.78123i −0.503406 + 0.0577604i
\(952\) 9.85107 14.4067i 0.319275 0.466925i
\(953\) 30.9452 1.76951i 1.00241 0.0573201i 0.451834 0.892102i \(-0.350770\pi\)
0.550581 + 0.834782i \(0.314406\pi\)
\(954\) 5.34832 + 13.7370i 0.173158 + 0.444753i
\(955\) −9.41760 + 1.62978i −0.304746 + 0.0527384i
\(956\) −1.14981 + 7.99712i −0.0371876 + 0.258645i
\(957\) 3.00980 + 3.82741i 0.0972930 + 0.123723i
\(958\) 4.97529 + 34.6039i 0.160744 + 1.11800i
\(959\) 5.27996 + 16.2501i 0.170499 + 0.524742i
\(960\) 0.775573 + 0.0443489i 0.0250315 + 0.00143135i
\(961\) 35.4476 45.9692i 1.14347 1.48288i
\(962\) −28.0432 + 11.8512i −0.904149 + 0.382097i
\(963\) 31.0932 25.4248i 1.00196 0.819302i
\(964\) −3.80178 7.20517i −0.122447 0.232063i
\(965\) −2.37327 1.72428i −0.0763984 0.0555067i
\(966\) 1.63955 2.71889i 0.0527517 0.0874788i
\(967\) −33.6172 −1.08105 −0.540527 0.841326i \(-0.681775\pi\)
−0.540527 + 0.841326i \(0.681775\pi\)
\(968\) −5.85835 9.31020i −0.188294 0.299241i
\(969\) 5.81441 0.186786
\(970\) −0.735909 + 1.22037i −0.0236286 + 0.0391837i
\(971\) 18.1224 + 13.1667i 0.581575 + 0.422539i 0.839292 0.543682i \(-0.182970\pi\)
−0.257716 + 0.966221i \(0.582970\pi\)
\(972\) −5.91010 11.2009i −0.189566 0.359268i
\(973\) −23.0490 + 18.8471i −0.738919 + 0.604211i
\(974\) −18.0943 + 7.64672i −0.579779 + 0.245017i
\(975\) −2.65678 + 3.44537i −0.0850849 + 0.110340i
\(976\) −6.41427 0.366781i −0.205316 0.0117404i
\(977\) −3.47026 10.6804i −0.111023 0.341695i 0.880073 0.474838i \(-0.157493\pi\)
−0.991097 + 0.133143i \(0.957493\pi\)
\(978\) 0.666339 + 4.63449i 0.0213072 + 0.148195i
\(979\) 52.5459 + 2.50403i 1.67937 + 0.0800291i
\(980\) −0.122035 + 0.848769i −0.00389825 + 0.0271129i
\(981\) −18.0321 + 3.12057i −0.575719 + 0.0996321i
\(982\) −5.57672 14.3237i −0.177960 0.457087i
\(983\) 21.9746 1.25655i 0.700882 0.0400779i 0.296985 0.954882i \(-0.404019\pi\)
0.403897 + 0.914804i \(0.367655\pi\)
\(984\) 2.51543 3.67869i 0.0801888 0.117272i
\(985\) −28.3553 + 3.25346i −0.903474 + 0.103664i
\(986\) 18.3999 + 4.27872i 0.585973 + 0.136262i
\(987\) 10.1623 5.73894i 0.323471 0.182672i
\(988\) 4.06346 + 1.71723i 0.129276 + 0.0546325i
\(989\) −6.94869 + 2.04032i −0.220955 + 0.0648784i
\(990\) 0.248624 13.0440i 0.00790180 0.414564i
\(991\) −14.3398 4.21053i −0.455517 0.133752i 0.0459215 0.998945i \(-0.485378\pi\)
−0.501439 + 0.865193i \(0.667196\pi\)
\(992\) −7.30525 5.97348i −0.231942 0.189658i
\(993\) 2.49036 12.2904i 0.0790292 0.390025i
\(994\) −6.75148 + 17.3410i −0.214144 + 0.550024i
\(995\) −8.51812 + 26.2161i −0.270042 + 0.831105i
\(996\) −7.61286 1.31746i −0.241223 0.0417452i
\(997\) −6.18817 30.5398i −0.195981 0.967205i −0.950452 0.310872i \(-0.899379\pi\)
0.754471 0.656334i \(-0.227894\pi\)
\(998\) −16.1223 + 30.5551i −0.510342 + 0.967206i
\(999\) 29.8402 14.6714i 0.944101 0.464183i
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 242.2.g.a.5.2 200
121.97 even 55 inner 242.2.g.a.97.2 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.a.5.2 200 1.1 even 1 trivial
242.2.g.a.97.2 yes 200 121.97 even 55 inner