Properties

Label 99.2.m.b.31.1
Level $99$
Weight $2$
Character 99.31
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.1
Character \(\chi\) \(=\) 99.31
Dual form 99.2.m.b.16.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.27811 + 0.484227i) q^{2} +(1.65119 + 0.523037i) q^{3} +(3.12821 - 1.39277i) q^{4} +(0.310092 + 0.0659121i) q^{5} +(-4.01486 - 0.391985i) q^{6} +(0.148273 - 1.41072i) q^{7} +(-2.68358 + 1.94973i) q^{8} +(2.45286 + 1.72727i) q^{9} -0.738340 q^{10} +(1.02493 + 3.15429i) q^{11} +(5.89374 - 0.663556i) q^{12} +(2.80837 + 3.11901i) q^{13} +(0.345328 + 3.28557i) q^{14} +(0.477547 + 0.271023i) q^{15} +(0.586822 - 0.651731i) q^{16} +(-1.92957 - 5.93860i) q^{17} +(-6.42428 - 2.74716i) q^{18} +(-2.50622 + 1.82087i) q^{19} +(1.06183 - 0.225700i) q^{20} +(0.982687 - 2.25182i) q^{21} +(-3.86228 - 6.68951i) q^{22} +(2.26025 - 3.91487i) q^{23} +(-5.45088 + 1.81577i) q^{24} +(-4.47591 - 1.99281i) q^{25} +(-7.90807 - 5.74555i) q^{26} +(3.14672 + 4.13499i) q^{27} +(-1.50098 - 4.61954i) q^{28} +(-0.306106 + 2.91240i) q^{29} +(-1.21914 - 0.386179i) q^{30} +(-6.38469 - 7.09091i) q^{31} +(2.29583 - 3.97649i) q^{32} +(0.0425387 + 5.74441i) q^{33} +(7.27140 + 12.5944i) q^{34} +(0.138962 - 0.427681i) q^{35} +(10.0788 + 1.98699i) q^{36} +(-0.685637 - 0.498145i) q^{37} +(4.82772 - 5.36173i) q^{38} +(3.00579 + 6.61896i) q^{39} +(-0.960667 + 0.427717i) q^{40} +(0.404484 + 3.84841i) q^{41} +(-1.14828 + 5.60573i) q^{42} +(-1.77651 - 3.07700i) q^{43} +(7.59937 + 8.43978i) q^{44} +(0.646766 + 0.697286i) q^{45} +(-3.25341 + 10.0130i) q^{46} +(-6.80683 - 3.03059i) q^{47} +(1.30983 - 0.769203i) q^{48} +(4.87888 + 1.03704i) q^{49} +(11.1616 + 2.37247i) q^{50} +(-0.0799760 - 10.8150i) q^{51} +(13.1292 + 5.84550i) q^{52} +(2.06517 - 6.35595i) q^{53} +(-9.17084 - 7.89623i) q^{54} +(0.109916 + 1.04568i) q^{55} +(2.35263 + 4.07487i) q^{56} +(-5.09063 + 1.69577i) q^{57} +(-0.712921 - 6.78299i) q^{58} +(-11.0309 + 4.91125i) q^{59} +(1.87134 + 0.182705i) q^{60} +(3.09160 - 3.43357i) q^{61} +(17.9786 + 13.0622i) q^{62} +(2.80039 - 3.20420i) q^{63} +(-3.84663 + 11.8387i) q^{64} +(0.665272 + 1.15229i) q^{65} +(-2.87850 - 13.0658i) q^{66} +(-4.98385 + 8.63229i) q^{67} +(-14.3072 - 15.8897i) q^{68} +(5.77972 - 5.28200i) q^{69} +(-0.109476 + 1.04159i) q^{70} +(0.905630 + 2.78724i) q^{71} +(-9.95016 + 0.147169i) q^{72} +(-3.43158 - 2.49319i) q^{73} +(1.80317 + 0.802823i) q^{74} +(-6.34828 - 5.63157i) q^{75} +(-5.30392 + 9.18665i) q^{76} +(4.60179 - 0.978190i) q^{77} +(-10.0526 - 13.6232i) q^{78} +(3.30808 - 0.703155i) q^{79} +(0.224926 - 0.163418i) q^{80} +(3.03308 + 8.47351i) q^{81} +(-2.78496 - 8.57123i) q^{82} +(-9.02488 + 10.0231i) q^{83} +(-0.0622120 - 8.41282i) q^{84} +(-0.206918 - 1.96870i) q^{85} +(5.53705 + 6.14951i) q^{86} +(-2.02873 + 4.64883i) q^{87} +(-8.90048 - 6.46644i) q^{88} +2.69745 q^{89} +(-1.81105 - 1.27531i) q^{90} +(4.81645 - 3.49936i) q^{91} +(1.61803 - 15.3945i) q^{92} +(-6.83352 - 15.0479i) q^{93} +(16.9742 + 3.60797i) q^{94} +(-0.897177 + 0.399449i) q^{95} +(5.87070 - 5.36514i) q^{96} +(5.14256 - 1.09308i) q^{97} -11.6168 q^{98} +(-2.93430 + 9.50736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.27811 + 0.484227i −1.61087 + 0.342400i −0.923407 0.383823i \(-0.874607\pi\)
−0.687459 + 0.726223i \(0.741274\pi\)
\(3\) 1.65119 + 0.523037i 0.953316 + 0.301976i
\(4\) 3.12821 1.39277i 1.56410 0.696384i
\(5\) 0.310092 + 0.0659121i 0.138677 + 0.0294768i 0.276727 0.960948i \(-0.410750\pi\)
−0.138050 + 0.990425i \(0.544083\pi\)
\(6\) −4.01486 0.391985i −1.63906 0.160027i
\(7\) 0.148273 1.41072i 0.0560419 0.533203i −0.930101 0.367304i \(-0.880281\pi\)
0.986143 0.165899i \(-0.0530525\pi\)
\(8\) −2.68358 + 1.94973i −0.948787 + 0.689334i
\(9\) 2.45286 + 1.72727i 0.817621 + 0.575756i
\(10\) −0.738340 −0.233484
\(11\) 1.02493 + 3.15429i 0.309027 + 0.951053i
\(12\) 5.89374 0.663556i 1.70138 0.191552i
\(13\) 2.80837 + 3.11901i 0.778901 + 0.865057i 0.993754 0.111590i \(-0.0355942\pi\)
−0.214854 + 0.976646i \(0.568928\pi\)
\(14\) 0.345328 + 3.28557i 0.0922927 + 0.878107i
\(15\) 0.477547 + 0.271023i 0.123302 + 0.0699779i
\(16\) 0.586822 0.651731i 0.146705 0.162933i
\(17\) −1.92957 5.93860i −0.467989 1.44032i −0.855184 0.518325i \(-0.826556\pi\)
0.387195 0.921998i \(-0.373444\pi\)
\(18\) −6.42428 2.74716i −1.51422 0.647513i
\(19\) −2.50622 + 1.82087i −0.574966 + 0.417737i −0.836906 0.547347i \(-0.815638\pi\)
0.261940 + 0.965084i \(0.415638\pi\)
\(20\) 1.06183 0.225700i 0.237433 0.0504680i
\(21\) 0.982687 2.25182i 0.214440 0.491387i
\(22\) −3.86228 6.68951i −0.823441 1.42621i
\(23\) 2.26025 3.91487i 0.471295 0.816306i −0.528166 0.849141i \(-0.677120\pi\)
0.999461 + 0.0328349i \(0.0104536\pi\)
\(24\) −5.45088 + 1.81577i −1.11266 + 0.370642i
\(25\) −4.47591 1.99281i −0.895183 0.398561i
\(26\) −7.90807 5.74555i −1.55090 1.12679i
\(27\) 3.14672 + 4.13499i 0.605587 + 0.795779i
\(28\) −1.50098 4.61954i −0.283659 0.873011i
\(29\) −0.306106 + 2.91240i −0.0568424 + 0.540820i 0.928633 + 0.371000i \(0.120985\pi\)
−0.985475 + 0.169819i \(0.945682\pi\)
\(30\) −1.21914 0.386179i −0.222584 0.0705064i
\(31\) −6.38469 7.09091i −1.14672 1.27357i −0.956470 0.291830i \(-0.905736\pi\)
−0.190253 0.981735i \(-0.560931\pi\)
\(32\) 2.29583 3.97649i 0.405848 0.702950i
\(33\) 0.0425387 + 5.74441i 0.00740504 + 0.999973i
\(34\) 7.27140 + 12.5944i 1.24703 + 2.15993i
\(35\) 0.138962 0.427681i 0.0234889 0.0722913i
\(36\) 10.0788 + 1.98699i 1.67979 + 0.331165i
\(37\) −0.685637 0.498145i −0.112718 0.0818945i 0.529998 0.847999i \(-0.322193\pi\)
−0.642716 + 0.766104i \(0.722193\pi\)
\(38\) 4.82772 5.36173i 0.783159 0.869787i
\(39\) 3.00579 + 6.61896i 0.481312 + 1.05988i
\(40\) −0.960667 + 0.427717i −0.151895 + 0.0676279i
\(41\) 0.404484 + 3.84841i 0.0631698 + 0.601021i 0.979618 + 0.200868i \(0.0643763\pi\)
−0.916448 + 0.400153i \(0.868957\pi\)
\(42\) −1.14828 + 5.60573i −0.177183 + 0.864983i
\(43\) −1.77651 3.07700i −0.270915 0.469239i 0.698181 0.715921i \(-0.253993\pi\)
−0.969096 + 0.246682i \(0.920660\pi\)
\(44\) 7.59937 + 8.43978i 1.14565 + 1.27235i
\(45\) 0.646766 + 0.697286i 0.0964142 + 0.103945i
\(46\) −3.25341 + 10.0130i −0.479689 + 1.47633i
\(47\) −6.80683 3.03059i −0.992878 0.442058i −0.154999 0.987915i \(-0.549538\pi\)
−0.837878 + 0.545857i \(0.816204\pi\)
\(48\) 1.30983 0.769203i 0.189058 0.111025i
\(49\) 4.87888 + 1.03704i 0.696983 + 0.148148i
\(50\) 11.1616 + 2.37247i 1.57849 + 0.335518i
\(51\) −0.0799760 10.8150i −0.0111989 1.51440i
\(52\) 13.1292 + 5.84550i 1.82069 + 0.810625i
\(53\) 2.06517 6.35595i 0.283673 0.873057i −0.703120 0.711071i \(-0.748210\pi\)
0.986793 0.161986i \(-0.0517898\pi\)
\(54\) −9.17084 7.89623i −1.24799 1.07454i
\(55\) 0.109916 + 1.04568i 0.0148210 + 0.140999i
\(56\) 2.35263 + 4.07487i 0.314383 + 0.544528i
\(57\) −5.09063 + 1.69577i −0.674270 + 0.224610i
\(58\) −0.712921 6.78299i −0.0936111 0.890650i
\(59\) −11.0309 + 4.91125i −1.43609 + 0.639391i −0.969502 0.245082i \(-0.921185\pi\)
−0.466592 + 0.884473i \(0.654518\pi\)
\(60\) 1.87134 + 0.182705i 0.241589 + 0.0235872i
\(61\) 3.09160 3.43357i 0.395838 0.439623i −0.511973 0.859001i \(-0.671085\pi\)
0.907812 + 0.419378i \(0.137752\pi\)
\(62\) 17.9786 + 13.0622i 2.28329 + 1.65890i
\(63\) 2.80039 3.20420i 0.352816 0.403691i
\(64\) −3.84663 + 11.8387i −0.480828 + 1.47984i
\(65\) 0.665272 + 1.15229i 0.0825169 + 0.142923i
\(66\) −2.87850 13.0658i −0.354319 1.60829i
\(67\) −4.98385 + 8.63229i −0.608875 + 1.05460i 0.382552 + 0.923934i \(0.375045\pi\)
−0.991426 + 0.130668i \(0.958288\pi\)
\(68\) −14.3072 15.8897i −1.73500 1.92691i
\(69\) 5.77972 5.28200i 0.695797 0.635878i
\(70\) −0.109476 + 1.04159i −0.0130849 + 0.124494i
\(71\) 0.905630 + 2.78724i 0.107479 + 0.330785i 0.990304 0.138916i \(-0.0443618\pi\)
−0.882826 + 0.469701i \(0.844362\pi\)
\(72\) −9.95016 + 0.147169i −1.17264 + 0.0173440i
\(73\) −3.43158 2.49319i −0.401636 0.291806i 0.368571 0.929600i \(-0.379847\pi\)
−0.770207 + 0.637794i \(0.779847\pi\)
\(74\) 1.80317 + 0.802823i 0.209614 + 0.0933263i
\(75\) −6.34828 5.63157i −0.733036 0.650278i
\(76\) −5.30392 + 9.18665i −0.608401 + 1.05378i
\(77\) 4.60179 0.978190i 0.524423 0.111475i
\(78\) −10.0526 13.6232i −1.13823 1.54252i
\(79\) 3.30808 0.703155i 0.372188 0.0791111i −0.0180200 0.999838i \(-0.505736\pi\)
0.390208 + 0.920727i \(0.372403\pi\)
\(80\) 0.224926 0.163418i 0.0251475 0.0182707i
\(81\) 3.03308 + 8.47351i 0.337009 + 0.941501i
\(82\) −2.78496 8.57123i −0.307548 0.946534i
\(83\) −9.02488 + 10.0231i −0.990609 + 1.10018i 0.00435860 + 0.999991i \(0.498613\pi\)
−0.994968 + 0.100193i \(0.968054\pi\)
\(84\) −0.0622120 8.41282i −0.00678788 0.917913i
\(85\) −0.206918 1.96870i −0.0224435 0.213535i
\(86\) 5.53705 + 6.14951i 0.597075 + 0.663119i
\(87\) −2.02873 + 4.64883i −0.217503 + 0.498407i
\(88\) −8.90048 6.46644i −0.948795 0.689325i
\(89\) 2.69745 0.285929 0.142965 0.989728i \(-0.454336\pi\)
0.142965 + 0.989728i \(0.454336\pi\)
\(90\) −1.81105 1.27531i −0.190901 0.134430i
\(91\) 4.81645 3.49936i 0.504902 0.366833i
\(92\) 1.61803 15.3945i 0.168691 1.60499i
\(93\) −6.83352 15.0479i −0.708603 1.56039i
\(94\) 16.9742 + 3.60797i 1.75075 + 0.372134i
\(95\) −0.897177 + 0.399449i −0.0920484 + 0.0409826i
\(96\) 5.87070 5.36514i 0.599176 0.547577i
\(97\) 5.14256 1.09308i 0.522147 0.110986i 0.0607045 0.998156i \(-0.480665\pi\)
0.461443 + 0.887170i \(0.347332\pi\)
\(98\) −11.6168 −1.17347
\(99\) −2.93430 + 9.50736i −0.294908 + 0.955526i
\(100\) −16.7771 −1.67771
\(101\) 9.32150 1.98135i 0.927524 0.197151i 0.280704 0.959794i \(-0.409432\pi\)
0.646819 + 0.762643i \(0.276099\pi\)
\(102\) 5.41911 + 24.5990i 0.536572 + 2.43567i
\(103\) 8.71123 3.87849i 0.858343 0.382159i 0.0701126 0.997539i \(-0.477664\pi\)
0.788231 + 0.615380i \(0.210997\pi\)
\(104\) −13.6177 2.89453i −1.33532 0.283832i
\(105\) 0.453146 0.633501i 0.0442225 0.0618233i
\(106\) −1.62697 + 15.4796i −0.158025 + 1.50351i
\(107\) −4.18472 + 3.04038i −0.404552 + 0.293924i −0.771393 0.636359i \(-0.780440\pi\)
0.366840 + 0.930284i \(0.380440\pi\)
\(108\) 15.6027 + 8.55246i 1.50137 + 0.822961i
\(109\) 14.4767 1.38661 0.693307 0.720643i \(-0.256153\pi\)
0.693307 + 0.720643i \(0.256153\pi\)
\(110\) −0.756744 2.32894i −0.0721527 0.222055i
\(111\) −0.871570 1.18115i −0.0827258 0.112109i
\(112\) −0.832402 0.924476i −0.0786546 0.0873548i
\(113\) 0.776815 + 7.39090i 0.0730766 + 0.695277i 0.968322 + 0.249704i \(0.0803334\pi\)
−0.895246 + 0.445573i \(0.853000\pi\)
\(114\) 10.7759 6.32816i 1.00925 0.592686i
\(115\) 0.958923 1.06499i 0.0894200 0.0993110i
\(116\) 3.09874 + 9.53694i 0.287711 + 0.885482i
\(117\) 1.50118 + 12.5013i 0.138784 + 1.15575i
\(118\) 22.7513 16.5298i 2.09443 1.52169i
\(119\) −8.66382 + 1.84155i −0.794211 + 0.168815i
\(120\) −1.80996 + 0.203777i −0.165226 + 0.0186022i
\(121\) −8.89905 + 6.46582i −0.809005 + 0.587802i
\(122\) −5.38037 + 9.31907i −0.487116 + 0.843709i
\(123\) −1.34498 + 6.56602i −0.121273 + 0.592038i
\(124\) −29.8486 13.2895i −2.68049 1.19343i
\(125\) −2.53897 1.84467i −0.227092 0.164992i
\(126\) −4.82803 + 8.65554i −0.430115 + 0.771097i
\(127\) −4.08040 12.5582i −0.362077 1.11436i −0.951791 0.306746i \(-0.900760\pi\)
0.589715 0.807612i \(-0.299240\pi\)
\(128\) 2.07050 19.6995i 0.183008 1.74120i
\(129\) −1.32397 6.00990i −0.116569 0.529142i
\(130\) −2.07353 2.30289i −0.181861 0.201977i
\(131\) 3.65021 6.32236i 0.318921 0.552387i −0.661342 0.750084i \(-0.730013\pi\)
0.980263 + 0.197697i \(0.0633463\pi\)
\(132\) 8.13369 + 17.9105i 0.707947 + 1.55890i
\(133\) 2.19714 + 3.80556i 0.190516 + 0.329984i
\(134\) 7.17377 22.0786i 0.619719 1.90730i
\(135\) 0.703228 + 1.48964i 0.0605242 + 0.128207i
\(136\) 16.7568 + 12.1746i 1.43689 + 1.04396i
\(137\) 6.56239 7.28827i 0.560662 0.622679i −0.394452 0.918917i \(-0.629065\pi\)
0.955114 + 0.296238i \(0.0957321\pi\)
\(138\) −10.6092 + 14.8317i −0.903111 + 1.26255i
\(139\) −8.65757 + 3.85460i −0.734326 + 0.326943i −0.739603 0.673043i \(-0.764987\pi\)
0.00527735 + 0.999986i \(0.498320\pi\)
\(140\) −0.160958 1.53142i −0.0136035 0.129428i
\(141\) −9.65426 8.56431i −0.813035 0.721245i
\(142\) −3.41278 5.91111i −0.286394 0.496049i
\(143\) −6.95987 + 12.0551i −0.582014 + 1.00810i
\(144\) 2.56511 0.585009i 0.213759 0.0487508i
\(145\) −0.286884 + 0.882938i −0.0238244 + 0.0733240i
\(146\) 9.02479 + 4.01809i 0.746897 + 0.332540i
\(147\) 7.51356 + 4.26419i 0.619708 + 0.351704i
\(148\) −2.83862 0.603367i −0.233333 0.0495964i
\(149\) 4.03725 + 0.858145i 0.330745 + 0.0703020i 0.370291 0.928916i \(-0.379258\pi\)
−0.0395464 + 0.999218i \(0.512591\pi\)
\(150\) 17.1890 + 9.75532i 1.40348 + 0.796519i
\(151\) −16.2385 7.22985i −1.32147 0.588357i −0.379855 0.925046i \(-0.624026\pi\)
−0.941616 + 0.336689i \(0.890693\pi\)
\(152\) 3.17541 9.77291i 0.257560 0.792688i
\(153\) 5.52460 17.8995i 0.446637 1.44709i
\(154\) −10.0097 + 4.45673i −0.806605 + 0.359134i
\(155\) −1.51246 2.61967i −0.121484 0.210417i
\(156\) 18.6214 + 16.5191i 1.49091 + 1.32259i
\(157\) 0.210861 + 2.00621i 0.0168285 + 0.160113i 0.999709 0.0241329i \(-0.00768247\pi\)
−0.982880 + 0.184246i \(0.941016\pi\)
\(158\) −7.19568 + 3.20372i −0.572458 + 0.254875i
\(159\) 6.73440 9.41473i 0.534072 0.746636i
\(160\) 0.974017 1.08175i 0.0770028 0.0855202i
\(161\) −5.18765 3.76905i −0.408844 0.297043i
\(162\) −11.0128 17.8349i −0.865246 1.40124i
\(163\) −0.488377 + 1.50307i −0.0382526 + 0.117729i −0.968359 0.249560i \(-0.919714\pi\)
0.930107 + 0.367289i \(0.119714\pi\)
\(164\) 6.62526 + 11.4753i 0.517346 + 0.896069i
\(165\) −0.365435 + 1.78410i −0.0284491 + 0.138892i
\(166\) 15.7062 27.2039i 1.21904 2.11143i
\(167\) 10.2522 + 11.3862i 0.793337 + 0.881090i 0.995154 0.0983335i \(-0.0313512\pi\)
−0.201817 + 0.979423i \(0.564685\pi\)
\(168\) 1.75333 + 7.95891i 0.135272 + 0.614043i
\(169\) −0.482411 + 4.58984i −0.0371085 + 0.353064i
\(170\) 1.42468 + 4.38471i 0.109268 + 0.336292i
\(171\) −9.29255 + 0.137443i −0.710619 + 0.0105105i
\(172\) −9.84284 7.15124i −0.750510 0.545277i
\(173\) −0.900792 0.401058i −0.0684859 0.0304919i 0.372208 0.928149i \(-0.378601\pi\)
−0.440694 + 0.897658i \(0.645268\pi\)
\(174\) 2.37059 11.5729i 0.179714 0.877339i
\(175\) −3.47495 + 6.01879i −0.262682 + 0.454978i
\(176\) 2.65720 + 1.18303i 0.200294 + 0.0891740i
\(177\) −20.7828 + 2.33987i −1.56213 + 0.175875i
\(178\) −6.14509 + 1.30618i −0.460594 + 0.0979023i
\(179\) 9.08186 6.59836i 0.678810 0.493185i −0.194153 0.980971i \(-0.562196\pi\)
0.872963 + 0.487787i \(0.162196\pi\)
\(180\) 2.99438 + 1.28046i 0.223188 + 0.0954400i
\(181\) 5.53932 + 17.0483i 0.411735 + 1.26719i 0.915139 + 0.403138i \(0.132081\pi\)
−0.503405 + 0.864051i \(0.667919\pi\)
\(182\) −9.27792 + 10.3042i −0.687725 + 0.763796i
\(183\) 6.90070 4.05245i 0.510114 0.299566i
\(184\) 1.56739 + 14.9127i 0.115550 + 1.09938i
\(185\) −0.179777 0.199663i −0.0132175 0.0146795i
\(186\) 22.8541 + 30.9717i 1.67574 + 2.27096i
\(187\) 16.7544 12.1730i 1.22520 0.890181i
\(188\) −25.5141 −1.86081
\(189\) 6.29990 3.82604i 0.458250 0.278304i
\(190\) 1.85044 1.34442i 0.134245 0.0975348i
\(191\) −1.34716 + 12.8173i −0.0974768 + 0.927430i 0.831058 + 0.556185i \(0.187736\pi\)
−0.928535 + 0.371245i \(0.878931\pi\)
\(192\) −12.5436 + 17.5360i −0.905256 + 1.26555i
\(193\) 22.6451 + 4.81337i 1.63003 + 0.346474i 0.929978 0.367616i \(-0.119826\pi\)
0.700054 + 0.714090i \(0.253159\pi\)
\(194\) −11.1860 + 4.98033i −0.803108 + 0.357567i
\(195\) 0.495803 + 2.25061i 0.0355052 + 0.161169i
\(196\) 16.7065 3.55108i 1.19332 0.253649i
\(197\) 1.07766 0.0767801 0.0383900 0.999263i \(-0.487777\pi\)
0.0383900 + 0.999263i \(0.487777\pi\)
\(198\) 2.08093 23.0797i 0.147885 1.64020i
\(199\) 16.4307 1.16474 0.582371 0.812923i \(-0.302125\pi\)
0.582371 + 0.812923i \(0.302125\pi\)
\(200\) 15.8969 3.37899i 1.12408 0.238931i
\(201\) −12.7443 + 11.6468i −0.898914 + 0.821503i
\(202\) −20.2760 + 9.02744i −1.42661 + 0.635168i
\(203\) 4.06320 + 0.863660i 0.285181 + 0.0606171i
\(204\) −15.3130 33.7202i −1.07212 2.36089i
\(205\) −0.128230 + 1.22002i −0.00895594 + 0.0852101i
\(206\) −17.9671 + 13.0538i −1.25182 + 0.909503i
\(207\) 12.3061 5.69858i 0.855334 0.396078i
\(208\) 3.68076 0.255215
\(209\) −8.31225 6.03907i −0.574970 0.417731i
\(210\) −0.725557 + 1.66261i −0.0500682 + 0.114731i
\(211\) −10.0034 11.1099i −0.688660 0.764834i 0.292868 0.956153i \(-0.405390\pi\)
−0.981528 + 0.191319i \(0.938724\pi\)
\(212\) −2.39207 22.7590i −0.164288 1.56310i
\(213\) 0.0375362 + 5.07595i 0.00257194 + 0.347798i
\(214\) 8.06101 8.95266i 0.551040 0.611991i
\(215\) −0.348070 1.07125i −0.0237382 0.0730585i
\(216\) −16.5066 4.96130i −1.12313 0.337574i
\(217\) −10.9500 + 7.95563i −0.743333 + 0.540063i
\(218\) −32.9794 + 7.00999i −2.23365 + 0.474776i
\(219\) −4.36217 5.91158i −0.294768 0.399468i
\(220\) 1.80022 + 3.11800i 0.121371 + 0.210216i
\(221\) 13.1036 22.6961i 0.881444 1.52671i
\(222\) 2.55747 + 2.26874i 0.171646 + 0.152268i
\(223\) 1.75974 + 0.783488i 0.117841 + 0.0524662i 0.464810 0.885410i \(-0.346123\pi\)
−0.346969 + 0.937877i \(0.612789\pi\)
\(224\) −5.26931 3.82838i −0.352070 0.255794i
\(225\) −7.53670 12.6192i −0.502446 0.841279i
\(226\) −5.34854 16.4611i −0.355779 1.09498i
\(227\) 1.67361 15.9234i 0.111082 1.05687i −0.786973 0.616988i \(-0.788353\pi\)
0.898055 0.439884i \(-0.144980\pi\)
\(228\) −13.5627 + 12.3948i −0.898215 + 0.820864i
\(229\) −0.349905 0.388609i −0.0231224 0.0256800i 0.731473 0.681871i \(-0.238833\pi\)
−0.754595 + 0.656191i \(0.772167\pi\)
\(230\) −1.66883 + 2.89050i −0.110040 + 0.190594i
\(231\) 8.11007 + 0.791729i 0.533603 + 0.0520919i
\(232\) −4.85695 8.41248i −0.318874 0.552306i
\(233\) −3.16820 + 9.75073i −0.207556 + 0.638792i 0.792043 + 0.610466i \(0.209018\pi\)
−0.999599 + 0.0283260i \(0.990982\pi\)
\(234\) −9.47330 27.7524i −0.619289 1.81423i
\(235\) −1.91099 1.38842i −0.124659 0.0905703i
\(236\) −27.6666 + 30.7268i −1.80094 + 2.00015i
\(237\) 5.83005 + 0.569208i 0.378703 + 0.0369740i
\(238\) 18.8454 8.39051i 1.22157 0.543876i
\(239\) 1.00776 + 9.58823i 0.0651868 + 0.620211i 0.977532 + 0.210788i \(0.0676031\pi\)
−0.912345 + 0.409423i \(0.865730\pi\)
\(240\) 0.456869 0.152190i 0.0294908 0.00982383i
\(241\) 0.139366 + 0.241388i 0.00897733 + 0.0155492i 0.870479 0.492205i \(-0.163809\pi\)
−0.861502 + 0.507754i \(0.830476\pi\)
\(242\) 17.1421 19.0390i 1.10193 1.22387i
\(243\) 0.576234 + 15.5778i 0.0369654 + 0.999317i
\(244\) 4.88900 15.0468i 0.312986 0.963272i
\(245\) 1.44455 + 0.643155i 0.0922889 + 0.0410897i
\(246\) −0.115430 15.6094i −0.00735954 0.995218i
\(247\) −12.7177 2.70323i −0.809207 0.172002i
\(248\) 30.9592 + 6.58057i 1.96591 + 0.417867i
\(249\) −20.1443 + 11.8298i −1.27659 + 0.749682i
\(250\) 6.67728 + 2.97292i 0.422308 + 0.188024i
\(251\) 1.36753 4.20881i 0.0863175 0.265658i −0.898576 0.438817i \(-0.855398\pi\)
0.984894 + 0.173159i \(0.0553975\pi\)
\(252\) 4.29749 13.9237i 0.270717 0.877111i
\(253\) 14.6652 + 3.11703i 0.921993 + 0.195966i
\(254\) 15.3766 + 26.6330i 0.964813 + 1.67111i
\(255\) 0.688040 3.35892i 0.0430868 0.210344i
\(256\) 2.21987 + 21.1206i 0.138742 + 1.32004i
\(257\) 3.33857 1.48643i 0.208254 0.0927209i −0.299959 0.953952i \(-0.596973\pi\)
0.508213 + 0.861231i \(0.330306\pi\)
\(258\) 5.92630 + 13.0501i 0.368955 + 0.812464i
\(259\) −0.804405 + 0.893382i −0.0499833 + 0.0555121i
\(260\) 3.68598 + 2.67802i 0.228595 + 0.166084i
\(261\) −5.78134 + 6.61500i −0.357856 + 0.409458i
\(262\) −5.25413 + 16.1705i −0.324601 + 0.999019i
\(263\) 7.22621 + 12.5162i 0.445587 + 0.771780i 0.998093 0.0617294i \(-0.0196616\pi\)
−0.552506 + 0.833509i \(0.686328\pi\)
\(264\) −11.3142 15.3326i −0.696341 0.943657i
\(265\) 1.05933 1.83481i 0.0650741 0.112712i
\(266\) −6.84808 7.60557i −0.419883 0.466327i
\(267\) 4.45401 + 1.41087i 0.272581 + 0.0863438i
\(268\) −3.56776 + 33.9450i −0.217936 + 2.07352i
\(269\) 0.283600 + 0.872830i 0.0172914 + 0.0532174i 0.959330 0.282287i \(-0.0910931\pi\)
−0.942039 + 0.335505i \(0.891093\pi\)
\(270\) −2.32335 3.05303i −0.141395 0.185801i
\(271\) 2.13921 + 1.55422i 0.129948 + 0.0944124i 0.650860 0.759197i \(-0.274408\pi\)
−0.520913 + 0.853610i \(0.674408\pi\)
\(272\) −5.00269 2.22734i −0.303332 0.135052i
\(273\) 9.78318 3.25892i 0.592105 0.197239i
\(274\) −11.4206 + 19.7811i −0.689947 + 1.19502i
\(275\) 1.69840 16.1608i 0.102417 0.974533i
\(276\) 10.7236 24.5730i 0.645484 1.47912i
\(277\) −28.2729 + 6.00958i −1.69875 + 0.361081i −0.952490 0.304571i \(-0.901487\pi\)
−0.746262 + 0.665652i \(0.768153\pi\)
\(278\) 17.8564 12.9734i 1.07095 0.778094i
\(279\) −3.41285 28.4211i −0.204322 1.70153i
\(280\) 0.460948 + 1.41865i 0.0275469 + 0.0847807i
\(281\) 5.84992 6.49700i 0.348977 0.387578i −0.542944 0.839769i \(-0.682691\pi\)
0.891921 + 0.452190i \(0.149357\pi\)
\(282\) 26.1405 + 14.8356i 1.55664 + 0.883446i
\(283\) 2.42686 + 23.0901i 0.144262 + 1.37256i 0.791917 + 0.610629i \(0.209083\pi\)
−0.647655 + 0.761934i \(0.724250\pi\)
\(284\) 6.71498 + 7.45775i 0.398461 + 0.442536i
\(285\) −1.69034 + 0.190309i −0.100127 + 0.0112730i
\(286\) 10.0179 30.8331i 0.592372 1.82320i
\(287\) 5.48901 0.324006
\(288\) 12.4998 5.78827i 0.736558 0.341077i
\(289\) −17.7905 + 12.9255i −1.04650 + 0.760326i
\(290\) 0.226010 2.15034i 0.0132718 0.126273i
\(291\) 9.06307 + 0.884858i 0.531286 + 0.0518713i
\(292\) −14.2071 3.01982i −0.831410 0.176722i
\(293\) −19.1620 + 8.53146i −1.11945 + 0.498413i −0.881178 0.472784i \(-0.843249\pi\)
−0.238276 + 0.971197i \(0.576582\pi\)
\(294\) −19.1815 6.07601i −1.11869 0.354360i
\(295\) −3.74429 + 0.795874i −0.218001 + 0.0463376i
\(296\) 2.81121 0.163398
\(297\) −9.81779 + 14.1637i −0.569686 + 0.821862i
\(298\) −9.61284 −0.556857
\(299\) 18.5581 3.94465i 1.07324 0.228125i
\(300\) −27.7022 8.77506i −1.59939 0.506628i
\(301\) −4.60420 + 2.04992i −0.265382 + 0.118156i
\(302\) 40.4940 + 8.60726i 2.33017 + 0.495292i
\(303\) 16.4279 + 1.60391i 0.943758 + 0.0921423i
\(304\) −0.283982 + 2.70191i −0.0162875 + 0.154965i
\(305\) 1.18499 0.860949i 0.0678526 0.0492978i
\(306\) −3.91822 + 43.4521i −0.223990 + 2.48399i
\(307\) 23.1324 1.32024 0.660118 0.751162i \(-0.270506\pi\)
0.660118 + 0.751162i \(0.270506\pi\)
\(308\) 13.0330 9.46921i 0.742622 0.539558i
\(309\) 16.4125 1.84783i 0.933675 0.105119i
\(310\) 4.71407 + 5.23550i 0.267741 + 0.297357i
\(311\) −2.13393 20.3030i −0.121004 1.15128i −0.871498 0.490399i \(-0.836851\pi\)
0.750494 0.660877i \(-0.229816\pi\)
\(312\) −20.9715 11.9020i −1.18728 0.673817i
\(313\) −22.7768 + 25.2962i −1.28742 + 1.42982i −0.440816 + 0.897597i \(0.645311\pi\)
−0.846602 + 0.532226i \(0.821356\pi\)
\(314\) −1.45182 4.46825i −0.0819311 0.252158i
\(315\) 1.07958 0.809018i 0.0608272 0.0455830i
\(316\) 9.36904 6.80701i 0.527050 0.382924i
\(317\) 26.8212 5.70102i 1.50643 0.320201i 0.620568 0.784152i \(-0.286902\pi\)
0.885861 + 0.463951i \(0.153569\pi\)
\(318\) −10.7828 + 24.7087i −0.604670 + 1.38560i
\(319\) −9.50029 + 2.01945i −0.531914 + 0.113068i
\(320\) −1.97312 + 3.41755i −0.110301 + 0.191047i
\(321\) −8.50001 + 2.83148i −0.474424 + 0.158038i
\(322\) 13.6431 + 6.07430i 0.760301 + 0.338508i
\(323\) 15.6494 + 11.3699i 0.870754 + 0.632640i
\(324\) 21.2898 + 22.2825i 1.18276 + 1.23792i
\(325\) −6.35443 19.5569i −0.352480 1.08482i
\(326\) 0.384748 3.66064i 0.0213092 0.202744i
\(327\) 23.9037 + 7.57184i 1.32188 + 0.418724i
\(328\) −8.58884 9.53887i −0.474239 0.526696i
\(329\) −5.28459 + 9.15318i −0.291349 + 0.504631i
\(330\) −0.0314080 4.24132i −0.00172896 0.233477i
\(331\) 8.98622 + 15.5646i 0.493927 + 0.855507i 0.999976 0.00699827i \(-0.00222764\pi\)
−0.506048 + 0.862505i \(0.668894\pi\)
\(332\) −14.2718 + 43.9241i −0.783266 + 2.41065i
\(333\) −0.821345 2.40616i −0.0450094 0.131857i
\(334\) −28.8690 20.9746i −1.57964 1.14768i
\(335\) −2.11443 + 2.34831i −0.115524 + 0.128302i
\(336\) −0.890919 1.96186i −0.0486036 0.107028i
\(337\) 10.0236 4.46277i 0.546018 0.243103i −0.115141 0.993349i \(-0.536732\pi\)
0.661158 + 0.750246i \(0.270065\pi\)
\(338\) −1.12354 10.6897i −0.0611123 0.581445i
\(339\) −2.58305 + 12.6101i −0.140292 + 0.684886i
\(340\) −3.38922 5.87031i −0.183806 0.318362i
\(341\) 15.8229 27.4068i 0.856860 1.48416i
\(342\) 21.1029 4.81281i 1.14111 0.260247i
\(343\) 5.25475 16.1724i 0.283730 0.873230i
\(344\) 10.7667 + 4.79366i 0.580503 + 0.258457i
\(345\) 2.14040 1.25695i 0.115235 0.0676721i
\(346\) 2.24630 + 0.477467i 0.120762 + 0.0256688i
\(347\) −21.6159 4.59460i −1.16040 0.246651i −0.412815 0.910815i \(-0.635454\pi\)
−0.747587 + 0.664164i \(0.768788\pi\)
\(348\) 0.128435 + 17.3681i 0.00688485 + 0.931026i
\(349\) −16.8126 7.48547i −0.899960 0.400688i −0.0960068 0.995381i \(-0.530607\pi\)
−0.803953 + 0.594693i \(0.797274\pi\)
\(350\) 5.00185 15.3941i 0.267360 0.822850i
\(351\) −4.05992 + 21.4272i −0.216703 + 1.14370i
\(352\) 14.8960 + 3.16609i 0.793961 + 0.168753i
\(353\) −16.5354 28.6401i −0.880089 1.52436i −0.851241 0.524776i \(-0.824149\pi\)
−0.0288486 0.999584i \(-0.509184\pi\)
\(354\) 46.2125 15.3941i 2.45616 0.818185i
\(355\) 0.0971158 + 0.923995i 0.00515437 + 0.0490405i
\(356\) 8.43820 3.75693i 0.447224 0.199117i
\(357\) −15.2688 1.49075i −0.808112 0.0788987i
\(358\) −17.4944 + 19.4295i −0.924606 + 1.02688i
\(359\) −2.42595 1.76256i −0.128037 0.0930242i 0.521924 0.852992i \(-0.325215\pi\)
−0.649960 + 0.759968i \(0.725215\pi\)
\(360\) −3.09517 0.610200i −0.163130 0.0321604i
\(361\) −2.90578 + 8.94306i −0.152936 + 0.470687i
\(362\) −20.8744 36.1555i −1.09713 1.90029i
\(363\) −18.0759 + 6.02177i −0.948739 + 0.316061i
\(364\) 10.1931 17.6549i 0.534262 0.925370i
\(365\) −0.899776 0.999302i −0.0470964 0.0523059i
\(366\) −13.7582 + 12.5734i −0.719154 + 0.657224i
\(367\) −0.173774 + 1.65335i −0.00907095 + 0.0863043i −0.998121 0.0612779i \(-0.980482\pi\)
0.989050 + 0.147582i \(0.0471491\pi\)
\(368\) −1.22508 3.77040i −0.0638616 0.196546i
\(369\) −5.65510 + 10.1383i −0.294393 + 0.527778i
\(370\) 0.506234 + 0.367800i 0.0263178 + 0.0191210i
\(371\) −8.66027 3.85580i −0.449619 0.200183i
\(372\) −42.3349 37.5554i −2.19496 1.94716i
\(373\) 10.7543 18.6271i 0.556839 0.964473i −0.440919 0.897547i \(-0.645348\pi\)
0.997758 0.0669259i \(-0.0213191\pi\)
\(374\) −32.2738 + 35.8444i −1.66884 + 1.85347i
\(375\) −3.22749 4.37388i −0.166667 0.225866i
\(376\) 24.1755 5.13866i 1.24676 0.265006i
\(377\) −9.94346 + 7.22435i −0.512114 + 0.372073i
\(378\) −12.4992 + 11.7667i −0.642888 + 0.605214i
\(379\) 3.83779 + 11.8115i 0.197134 + 0.606715i 0.999945 + 0.0104822i \(0.00333665\pi\)
−0.802811 + 0.596233i \(0.796663\pi\)
\(380\) −2.25022 + 2.49912i −0.115434 + 0.128202i
\(381\) −0.169123 22.8701i −0.00866441 1.17167i
\(382\) −3.13753 29.8516i −0.160530 1.52734i
\(383\) 0.535088 + 0.594276i 0.0273417 + 0.0303661i 0.756661 0.653808i \(-0.226830\pi\)
−0.729319 + 0.684174i \(0.760163\pi\)
\(384\) 13.7224 31.4447i 0.700266 1.60465i
\(385\) 1.49145 1.54122e-5i 0.0760116 7.85476e-7i
\(386\) −53.9188 −2.74439
\(387\) 0.957279 10.6160i 0.0486612 0.539641i
\(388\) 14.5646 10.5818i 0.739404 0.537209i
\(389\) 0.181533 1.72717i 0.00920409 0.0875711i −0.988956 0.148213i \(-0.952648\pi\)
0.998160 + 0.0606416i \(0.0193147\pi\)
\(390\) −2.21930 4.88704i −0.112378 0.247465i
\(391\) −27.6101 5.86872i −1.39631 0.296794i
\(392\) −15.1148 + 6.72954i −0.763413 + 0.339893i
\(393\) 9.33403 8.53022i 0.470840 0.430293i
\(394\) −2.45502 + 0.521832i −0.123682 + 0.0262895i
\(395\) 1.07216 0.0539461
\(396\) 4.06245 + 33.8278i 0.204146 + 1.69991i
\(397\) −24.7599 −1.24267 −0.621333 0.783547i \(-0.713409\pi\)
−0.621333 + 0.783547i \(0.713409\pi\)
\(398\) −37.4309 + 7.95619i −1.87624 + 0.398808i
\(399\) 1.63745 + 7.43290i 0.0819751 + 0.372110i
\(400\) −3.92534 + 1.74767i −0.196267 + 0.0873836i
\(401\) −21.3748 4.54336i −1.06741 0.226884i −0.359468 0.933158i \(-0.617042\pi\)
−0.707939 + 0.706273i \(0.750375\pi\)
\(402\) 23.3932 32.7038i 1.16675 1.63112i
\(403\) 4.18606 39.8277i 0.208523 1.98396i
\(404\) 26.4000 19.1807i 1.31345 0.954278i
\(405\) 0.382028 + 2.82749i 0.0189831 + 0.140499i
\(406\) −9.67462 −0.480143
\(407\) 0.868564 2.67326i 0.0430531 0.132509i
\(408\) 21.3010 + 28.8670i 1.05456 + 1.42913i
\(409\) 5.37631 + 5.97100i 0.265842 + 0.295247i 0.861256 0.508172i \(-0.169679\pi\)
−0.595414 + 0.803419i \(0.703012\pi\)
\(410\) −0.298647 2.84144i −0.0147491 0.140329i
\(411\) 14.6478 8.60195i 0.722522 0.424303i
\(412\) 21.8487 24.2655i 1.07641 1.19547i
\(413\) 5.29283 + 16.2897i 0.260443 + 0.801562i
\(414\) −25.2752 + 18.9409i −1.24221 + 0.930895i
\(415\) −3.45919 + 2.51325i −0.169805 + 0.123371i
\(416\) 18.8502 4.00673i 0.924207 0.196446i
\(417\) −16.3114 + 1.83645i −0.798773 + 0.0899312i
\(418\) 21.8605 + 9.73264i 1.06923 + 0.476039i
\(419\) 2.79840 4.84698i 0.136711 0.236790i −0.789539 0.613701i \(-0.789680\pi\)
0.926250 + 0.376910i \(0.123014\pi\)
\(420\) 0.535215 2.61285i 0.0261158 0.127494i
\(421\) 34.5817 + 15.3968i 1.68541 + 0.750392i 0.999747 + 0.0224717i \(0.00715355\pi\)
0.685661 + 0.727921i \(0.259513\pi\)
\(422\) 28.1684 + 20.4656i 1.37122 + 0.996248i
\(423\) −11.4616 19.1909i −0.557280 0.933091i
\(424\) 6.85035 + 21.0832i 0.332682 + 1.02389i
\(425\) −3.19789 + 30.4259i −0.155121 + 1.47587i
\(426\) −2.54342 11.5454i −0.123229 0.559376i
\(427\) −4.38541 4.87049i −0.212225 0.235699i
\(428\) −8.85614 + 15.3393i −0.428078 + 0.741452i
\(429\) −17.7974 + 16.2651i −0.859265 + 0.785285i
\(430\) 1.31167 + 2.27187i 0.0632542 + 0.109560i
\(431\) −9.20389 + 28.3267i −0.443336 + 1.36445i 0.440963 + 0.897525i \(0.354637\pi\)
−0.884299 + 0.466922i \(0.845363\pi\)
\(432\) 4.54147 + 0.375685i 0.218501 + 0.0180752i
\(433\) 0.225935 + 0.164152i 0.0108578 + 0.00788862i 0.593201 0.805054i \(-0.297864\pi\)
−0.582343 + 0.812943i \(0.697864\pi\)
\(434\) 21.0929 23.4260i 1.01249 1.12449i
\(435\) −0.935509 + 1.30785i −0.0448542 + 0.0627065i
\(436\) 45.2860 20.1626i 2.16881 0.965615i
\(437\) 1.46380 + 13.9271i 0.0700231 + 0.666225i
\(438\) 12.8000 + 11.3549i 0.611609 + 0.542560i
\(439\) −7.49827 12.9874i −0.357873 0.619854i 0.629732 0.776812i \(-0.283165\pi\)
−0.987605 + 0.156958i \(0.949831\pi\)
\(440\) −2.33375 2.59184i −0.111257 0.123561i
\(441\) 10.1760 + 10.9709i 0.484571 + 0.522422i
\(442\) −18.8614 + 58.0493i −0.897143 + 2.76112i
\(443\) 13.2462 + 5.89760i 0.629348 + 0.280204i 0.696520 0.717538i \(-0.254731\pi\)
−0.0671719 + 0.997741i \(0.521398\pi\)
\(444\) −4.37152 2.48098i −0.207463 0.117742i
\(445\) 0.836459 + 0.177795i 0.0396520 + 0.00842829i
\(446\) −4.38827 0.932755i −0.207791 0.0441672i
\(447\) 6.21744 + 3.52860i 0.294075 + 0.166897i
\(448\) 16.1308 + 7.18188i 0.762107 + 0.339312i
\(449\) −6.55787 + 20.1830i −0.309485 + 0.952497i 0.668481 + 0.743730i \(0.266945\pi\)
−0.977965 + 0.208767i \(0.933055\pi\)
\(450\) 23.2800 + 25.0984i 1.09743 + 1.18315i
\(451\) −11.7244 + 5.22020i −0.552082 + 0.245809i
\(452\) 12.7238 + 22.0383i 0.598479 + 1.03660i
\(453\) −23.0314 20.4312i −1.08211 0.959942i
\(454\) 3.89785 + 37.0856i 0.182935 + 1.74051i
\(455\) 1.72420 0.767661i 0.0808315 0.0359885i
\(456\) 10.3548 14.4761i 0.484908 0.677905i
\(457\) −2.14758 + 2.38512i −0.100459 + 0.111571i −0.791278 0.611457i \(-0.790584\pi\)
0.690818 + 0.723028i \(0.257250\pi\)
\(458\) 0.985297 + 0.715860i 0.0460399 + 0.0334499i
\(459\) 18.4843 26.6659i 0.862771 1.24466i
\(460\) 1.51642 4.66707i 0.0707037 0.217603i
\(461\) −13.1628 22.7986i −0.613052 1.06184i −0.990723 0.135897i \(-0.956608\pi\)
0.377671 0.925940i \(-0.376725\pi\)
\(462\) −18.8590 + 2.12347i −0.877399 + 0.0987926i
\(463\) −1.81412 + 3.14215i −0.0843093 + 0.146028i −0.905097 0.425206i \(-0.860202\pi\)
0.820787 + 0.571234i \(0.193535\pi\)
\(464\) 1.71847 + 1.90856i 0.0797782 + 0.0886027i
\(465\) −1.12718 5.11664i −0.0522719 0.237279i
\(466\) 2.49595 23.7473i 0.115622 1.10007i
\(467\) −5.71532 17.5899i −0.264473 0.813965i −0.991814 0.127689i \(-0.959244\pi\)
0.727341 0.686276i \(-0.240756\pi\)
\(468\) 22.1074 + 37.0159i 1.02192 + 1.71106i
\(469\) 11.4388 + 8.31077i 0.528194 + 0.383756i
\(470\) 5.02575 + 2.23761i 0.231821 + 0.103213i
\(471\) −0.701150 + 3.42292i −0.0323073 + 0.157720i
\(472\) 20.0265 34.6869i 0.921795 1.59660i
\(473\) 7.88496 8.75732i 0.362551 0.402662i
\(474\) −13.5571 + 1.52635i −0.622699 + 0.0701076i
\(475\) 14.8463 3.15567i 0.681193 0.144792i
\(476\) −24.5374 + 17.8275i −1.12467 + 0.817120i
\(477\) 16.0440 12.0232i 0.734606 0.550503i
\(478\) −6.93867 21.3550i −0.317367 0.976756i
\(479\) −0.105052 + 0.116672i −0.00479996 + 0.00533090i −0.745540 0.666461i \(-0.767808\pi\)
0.740740 + 0.671792i \(0.234475\pi\)
\(480\) 2.17409 1.27674i 0.0992330 0.0582748i
\(481\) −0.371804 3.53748i −0.0169528 0.161295i
\(482\) −0.434376 0.482424i −0.0197853 0.0219738i
\(483\) −6.59445 8.93676i −0.300058 0.406637i
\(484\) −18.8327 + 32.6208i −0.856032 + 1.48276i
\(485\) 1.66671 0.0756816
\(486\) −8.85591 35.2089i −0.401712 1.59711i
\(487\) −14.5028 + 10.5369i −0.657187 + 0.477474i −0.865712 0.500543i \(-0.833134\pi\)
0.208525 + 0.978017i \(0.433134\pi\)
\(488\) −1.60200 + 15.2420i −0.0725192 + 0.689974i
\(489\) −1.59256 + 2.22641i −0.0720182 + 0.100682i
\(490\) −3.60227 0.765687i −0.162734 0.0345902i
\(491\) −6.07322 + 2.70397i −0.274081 + 0.122029i −0.539175 0.842194i \(-0.681264\pi\)
0.265094 + 0.964223i \(0.414597\pi\)
\(492\) 4.93756 + 22.4131i 0.222603 + 1.01046i
\(493\) 17.8863 3.80184i 0.805557 0.171226i
\(494\) 30.2813 1.36242
\(495\) −1.53655 + 2.75475i −0.0690630 + 0.123817i
\(496\) −8.36804 −0.375736
\(497\) 4.06631 0.864320i 0.182399 0.0387701i
\(498\) 40.1626 36.7039i 1.79973 1.64474i
\(499\) 31.0124 13.8076i 1.38831 0.618114i 0.429733 0.902956i \(-0.358608\pi\)
0.958575 + 0.284842i \(0.0919411\pi\)
\(500\) −10.5116 2.23431i −0.470094 0.0999216i
\(501\) 10.9729 + 24.1630i 0.490233 + 1.07953i
\(502\) −1.07735 + 10.2503i −0.0480846 + 0.457494i
\(503\) −2.53812 + 1.84405i −0.113169 + 0.0822222i −0.642930 0.765925i \(-0.722282\pi\)
0.529761 + 0.848147i \(0.322282\pi\)
\(504\) −1.26772 + 14.0587i −0.0564689 + 0.626226i
\(505\) 3.02112 0.134438
\(506\) −34.9183 0.000360833i −1.55231 1.60410e-5i
\(507\) −3.19721 + 7.32638i −0.141993 + 0.325376i
\(508\) −30.2550 33.6015i −1.34235 1.49083i
\(509\) −2.38361 22.6786i −0.105652 1.00521i −0.910999 0.412407i \(-0.864688\pi\)
0.805348 0.592803i \(-0.201979\pi\)
\(510\) 0.0590495 + 7.98515i 0.00261475 + 0.353588i
\(511\) −4.02601 + 4.47134i −0.178100 + 0.197800i
\(512\) −3.04225 9.36310i −0.134450 0.413794i
\(513\) −15.4157 4.63341i −0.680618 0.204570i
\(514\) −6.88586 + 5.00287i −0.303722 + 0.220667i
\(515\) 2.95693 0.628514i 0.130298 0.0276956i
\(516\) −12.5120 16.9562i −0.550812 0.746457i
\(517\) 2.58287 24.5768i 0.113595 1.08089i
\(518\) 1.39992 2.42474i 0.0615090 0.106537i
\(519\) −1.27761 1.13337i −0.0560809 0.0497495i
\(520\) −4.03196 1.79514i −0.176813 0.0787222i
\(521\) −4.26200 3.09653i −0.186722 0.135661i 0.490497 0.871443i \(-0.336815\pi\)
−0.677219 + 0.735781i \(0.736815\pi\)
\(522\) 9.96735 17.8692i 0.436259 0.782112i
\(523\) 3.67595 + 11.3134i 0.160738 + 0.494701i 0.998697 0.0510325i \(-0.0162512\pi\)
−0.837959 + 0.545733i \(0.816251\pi\)
\(524\) 2.61305 24.8616i 0.114152 1.08608i
\(525\) −8.88586 + 8.12065i −0.387811 + 0.354414i
\(526\) −22.5227 25.0140i −0.982038 1.09066i
\(527\) −29.7904 + 51.5985i −1.29769 + 2.24767i
\(528\) 3.76877 + 3.34322i 0.164015 + 0.145495i
\(529\) 1.28255 + 2.22144i 0.0557629 + 0.0965843i
\(530\) −1.52480 + 4.69285i −0.0662331 + 0.203845i
\(531\) −35.5402 7.00662i −1.54231 0.304061i
\(532\) 12.1734 + 8.84448i 0.527783 + 0.383457i
\(533\) −10.8673 + 12.0693i −0.470714 + 0.522781i
\(534\) −10.8299 1.05736i −0.468656 0.0457565i
\(535\) −1.49805 + 0.666974i −0.0647663 + 0.0288358i
\(536\) −3.45610 32.8826i −0.149281 1.42031i
\(537\) 18.4471 6.14500i 0.796050 0.265176i
\(538\) −1.06872 1.85108i −0.0460757 0.0798055i
\(539\) 1.72938 + 16.4523i 0.0744895 + 0.708650i
\(540\) 4.27456 + 3.68046i 0.183948 + 0.158382i
\(541\) 12.5401 38.5945i 0.539142 1.65931i −0.195383 0.980727i \(-0.562595\pi\)
0.734525 0.678581i \(-0.237405\pi\)
\(542\) −5.62594 2.50483i −0.241655 0.107592i
\(543\) 0.229591 + 31.0472i 0.00985271 + 1.33236i
\(544\) −28.0447 5.96109i −1.20241 0.255580i
\(545\) 4.48910 + 0.954188i 0.192292 + 0.0408729i
\(546\) −20.7091 + 12.1615i −0.886267 + 0.520462i
\(547\) 21.4997 + 9.57226i 0.919259 + 0.409280i 0.811136 0.584857i \(-0.198849\pi\)
0.108123 + 0.994138i \(0.465516\pi\)
\(548\) 10.3776 31.9391i 0.443311 1.36437i
\(549\) 13.5140 3.08205i 0.576762 0.131539i
\(550\) 3.95635 + 37.6384i 0.168699 + 1.60491i
\(551\) −4.53595 7.85650i −0.193238 0.334698i
\(552\) −5.21185 + 25.4436i −0.221831 + 1.08295i
\(553\) −0.501457 4.77104i −0.0213241 0.202885i
\(554\) 61.4986 27.3810i 2.61283 1.16331i
\(555\) −0.192415 0.423711i −0.00816757 0.0179855i
\(556\) −21.7141 + 24.1160i −0.920884 + 1.02275i
\(557\) 5.08590 + 3.69513i 0.215497 + 0.156568i 0.690297 0.723526i \(-0.257480\pi\)
−0.474800 + 0.880093i \(0.657480\pi\)
\(558\) 21.5371 + 63.0938i 0.911738 + 2.67097i
\(559\) 4.60811 14.1823i 0.194902 0.599847i
\(560\) −0.197187 0.341538i −0.00833268 0.0144326i
\(561\) 34.0317 11.3368i 1.43682 0.478642i
\(562\) −10.1807 + 17.6335i −0.429448 + 0.743826i
\(563\) −11.3527 12.6085i −0.478461 0.531385i 0.454795 0.890596i \(-0.349712\pi\)
−0.933256 + 0.359211i \(0.883046\pi\)
\(564\) −42.1286 13.3448i −1.77394 0.561918i
\(565\) −0.246266 + 2.34306i −0.0103605 + 0.0985734i
\(566\) −16.7095 51.4265i −0.702352 2.16162i
\(567\) 12.4035 3.02244i 0.520898 0.126931i
\(568\) −7.86471 5.71404i −0.329996 0.239756i
\(569\) 20.3268 + 9.05009i 0.852146 + 0.379400i 0.785863 0.618401i \(-0.212219\pi\)
0.0662831 + 0.997801i \(0.478886\pi\)
\(570\) 3.75862 1.25205i 0.157431 0.0524427i
\(571\) −17.6576 + 30.5838i −0.738947 + 1.27989i 0.214023 + 0.976829i \(0.431343\pi\)
−0.952970 + 0.303065i \(0.901990\pi\)
\(572\) −4.98192 + 47.4045i −0.208304 + 1.98208i
\(573\) −8.92836 + 20.4593i −0.372988 + 0.854698i
\(574\) −12.5046 + 2.65793i −0.521930 + 0.110940i
\(575\) −17.9182 + 13.0184i −0.747243 + 0.542904i
\(576\) −29.8839 + 22.3946i −1.24516 + 0.933107i
\(577\) −11.8156 36.3646i −0.491889 1.51388i −0.821749 0.569850i \(-0.807001\pi\)
0.329859 0.944030i \(-0.392999\pi\)
\(578\) 34.2697 38.0604i 1.42543 1.58310i
\(579\) 34.8738 + 19.7920i 1.44931 + 0.822529i
\(580\) 0.332295 + 3.16158i 0.0137978 + 0.131277i
\(581\) 12.8017 + 14.2178i 0.531105 + 0.589852i
\(582\) −21.0751 + 2.37278i −0.873592 + 0.0983547i
\(583\) 22.1651 0.000229047i 0.917986 9.48614e-6i
\(584\) 14.0700 0.582219
\(585\) −0.358485 + 3.97550i −0.0148215 + 0.164367i
\(586\) 39.5219 28.7143i 1.63263 1.18618i
\(587\) 1.29507 12.3218i 0.0534533 0.508574i −0.934737 0.355341i \(-0.884365\pi\)
0.988190 0.153233i \(-0.0489685\pi\)
\(588\) 29.4430 + 2.87462i 1.21421 + 0.118547i
\(589\) 28.9131 + 6.14566i 1.19134 + 0.253228i
\(590\) 8.14452 3.62617i 0.335305 0.149287i
\(591\) 1.77942 + 0.563656i 0.0731956 + 0.0231857i
\(592\) −0.727003 + 0.154529i −0.0298797 + 0.00635112i
\(593\) 4.18039 0.171668 0.0858340 0.996309i \(-0.472645\pi\)
0.0858340 + 0.996309i \(0.472645\pi\)
\(594\) 15.5075 37.0205i 0.636282 1.51897i
\(595\) −2.80796 −0.115115
\(596\) 13.8246 2.93850i 0.566276 0.120366i
\(597\) 27.1302 + 8.59388i 1.11037 + 0.351724i
\(598\) −40.3672 + 17.9727i −1.65074 + 0.734957i
\(599\) 43.1155 + 9.16449i 1.76165 + 0.374451i 0.971236 0.238119i \(-0.0765307\pi\)
0.790417 + 0.612570i \(0.209864\pi\)
\(600\) 28.0161 + 2.73531i 1.14375 + 0.111669i
\(601\) 0.183062 1.74172i 0.00746727 0.0710463i −0.990154 0.139985i \(-0.955295\pi\)
0.997621 + 0.0689386i \(0.0219613\pi\)
\(602\) 9.49624 6.89943i 0.387038 0.281200i
\(603\) −27.1350 + 12.5654i −1.10502 + 0.511701i
\(604\) −60.8670 −2.47664
\(605\) −3.18570 + 1.41845i −0.129517 + 0.0576680i
\(606\) −38.2012 + 4.30094i −1.55182 + 0.174714i
\(607\) −7.27288 8.07735i −0.295197 0.327850i 0.577241 0.816574i \(-0.304129\pi\)
−0.872438 + 0.488724i \(0.837462\pi\)
\(608\) 1.48684 + 14.1464i 0.0602994 + 0.573710i
\(609\) 6.25740 + 3.55128i 0.253563 + 0.143905i
\(610\) −2.28265 + 2.53514i −0.0924218 + 0.102645i
\(611\) −9.66362 29.7416i −0.390948 1.20321i
\(612\) −7.64772 63.6878i −0.309141 2.57443i
\(613\) −14.3951 + 10.4586i −0.581412 + 0.422421i −0.839233 0.543772i \(-0.816996\pi\)
0.257821 + 0.966193i \(0.416996\pi\)
\(614\) −52.6981 + 11.2013i −2.12672 + 0.452049i
\(615\) −0.849849 + 1.94742i −0.0342692 + 0.0785276i
\(616\) −10.4420 + 11.5973i −0.420722 + 0.467269i
\(617\) −1.99805 + 3.46073i −0.0804386 + 0.139324i −0.903438 0.428718i \(-0.858965\pi\)
0.823000 + 0.568042i \(0.192299\pi\)
\(618\) −36.4947 + 12.1569i −1.46803 + 0.489023i
\(619\) −10.0265 4.46409i −0.403000 0.179427i 0.195220 0.980760i \(-0.437458\pi\)
−0.598219 + 0.801333i \(0.704125\pi\)
\(620\) −8.37989 6.08835i −0.336544 0.244514i
\(621\) 23.3003 2.97288i 0.935009 0.119298i
\(622\) 14.6926 + 45.2191i 0.589118 + 1.81312i
\(623\) 0.399959 3.80536i 0.0160240 0.152458i
\(624\) 6.07764 + 1.92518i 0.243300 + 0.0770688i
\(625\) 15.7263 + 17.4658i 0.629052 + 0.698633i
\(626\) 39.6388 68.6565i 1.58429 2.74407i
\(627\) −10.5664 14.3193i −0.421983 0.571857i
\(628\) 3.45380 + 5.98216i 0.137822 + 0.238714i
\(629\) −1.63530 + 5.03293i −0.0652037 + 0.200676i
\(630\) −2.06764 + 2.36579i −0.0823767 + 0.0942553i
\(631\) −6.99735 5.08388i −0.278560 0.202386i 0.439729 0.898131i \(-0.355075\pi\)
−0.718289 + 0.695745i \(0.755075\pi\)
\(632\) −7.50653 + 8.33685i −0.298594 + 0.331622i
\(633\) −10.7066 23.5766i −0.425549 0.937087i
\(634\) −58.3410 + 25.9751i −2.31702 + 1.03160i
\(635\) −0.437564 4.16314i −0.0173642 0.165209i
\(636\) 7.95406 38.8307i 0.315399 1.53974i
\(637\) 10.4672 + 18.1296i 0.414724 + 0.718323i
\(638\) 20.6648 9.20082i 0.818128 0.364264i
\(639\) −2.59293 + 8.40100i −0.102575 + 0.332338i
\(640\) 1.94048 5.97219i 0.0767042 0.236071i
\(641\) 33.8812 + 15.0849i 1.33823 + 0.595817i 0.946035 0.324066i \(-0.105050\pi\)
0.392193 + 0.919883i \(0.371717\pi\)
\(642\) 17.9929 10.5663i 0.710121 0.417020i
\(643\) 39.8425 + 8.46878i 1.57123 + 0.333976i 0.909481 0.415746i \(-0.136479\pi\)
0.661753 + 0.749722i \(0.269813\pi\)
\(644\) −21.4775 4.56518i −0.846331 0.179893i
\(645\) −0.0144266 1.95089i −0.000568049 0.0768162i
\(646\) −41.1566 18.3241i −1.61928 0.720952i
\(647\) −0.175813 + 0.541098i −0.00691193 + 0.0212727i −0.954453 0.298361i \(-0.903560\pi\)
0.947541 + 0.319634i \(0.103560\pi\)
\(648\) −24.6606 16.8256i −0.968759 0.660973i
\(649\) −26.7973 29.7608i −1.05189 1.16821i
\(650\) 23.9461 + 41.4758i 0.939242 + 1.62682i
\(651\) −22.2416 + 7.40901i −0.871717 + 0.290382i
\(652\) 0.565682 + 5.38211i 0.0221538 + 0.210780i
\(653\) −33.3696 + 14.8571i −1.30585 + 0.581404i −0.937404 0.348244i \(-0.886778\pi\)
−0.368450 + 0.929648i \(0.620111\pi\)
\(654\) −58.1218 5.67463i −2.27274 0.221896i
\(655\) 1.54862 1.71992i 0.0605097 0.0672029i
\(656\) 2.74549 + 1.99472i 0.107193 + 0.0778806i
\(657\) −4.11079 12.0427i −0.160377 0.469831i
\(658\) 7.60666 23.4109i 0.296538 0.912651i
\(659\) 12.0035 + 20.7907i 0.467590 + 0.809889i 0.999314 0.0370284i \(-0.0117892\pi\)
−0.531725 + 0.846917i \(0.678456\pi\)
\(660\) 1.34168 + 6.09000i 0.0522248 + 0.237053i
\(661\) −6.49165 + 11.2439i −0.252496 + 0.437336i −0.964212 0.265131i \(-0.914585\pi\)
0.711717 + 0.702467i \(0.247918\pi\)
\(662\) −28.0084 31.1064i −1.08858 1.20899i
\(663\) 33.5075 30.6219i 1.30132 1.18926i
\(664\) 4.67651 44.4940i 0.181484 1.72670i
\(665\) 0.430484 + 1.32489i 0.0166935 + 0.0513772i
\(666\) 3.03624 + 5.08378i 0.117652 + 0.196992i
\(667\) 10.7098 + 7.78112i 0.414685 + 0.301286i
\(668\) 47.9293 + 21.3395i 1.85444 + 0.825649i
\(669\) 2.49588 + 2.21410i 0.0964962 + 0.0856020i
\(670\) 3.67978 6.37356i 0.142162 0.246232i
\(671\) 13.9991 + 6.23263i 0.540430 + 0.240608i
\(672\) −6.69825 9.07743i −0.258391 0.350169i
\(673\) −16.6536 + 3.53983i −0.641949 + 0.136451i −0.517374 0.855760i \(-0.673090\pi\)
−0.124576 + 0.992210i \(0.539757\pi\)
\(674\) −20.6737 + 15.0204i −0.796323 + 0.578562i
\(675\) −5.84422 24.7787i −0.224944 0.953731i
\(676\) 4.88349 + 15.0298i 0.187827 + 0.578071i
\(677\) −23.7084 + 26.3308i −0.911187 + 1.01198i 0.0886859 + 0.996060i \(0.471733\pi\)
−0.999873 + 0.0159165i \(0.994933\pi\)
\(678\) −0.221684 29.9779i −0.00851372 1.15129i
\(679\) −0.779536 7.41679i −0.0299158 0.284630i
\(680\) 4.39371 + 4.87971i 0.168491 + 0.187128i
\(681\) 11.0920 25.4172i 0.425046 0.973988i
\(682\) −22.7753 + 70.0975i −0.872110 + 2.68417i
\(683\) 23.8967 0.914381 0.457191 0.889369i \(-0.348856\pi\)
0.457191 + 0.889369i \(0.348856\pi\)
\(684\) −28.8776 + 13.3723i −1.10416 + 0.511303i
\(685\) 2.51533 1.82749i 0.0961058 0.0698250i
\(686\) −4.13975 + 39.3871i −0.158056 + 1.50381i
\(687\) −0.374503 0.824682i −0.0142882 0.0314636i
\(688\) −3.04787 0.647845i −0.116199 0.0246989i
\(689\) 25.6240 11.4085i 0.976197 0.434631i
\(690\) −4.26740 + 3.89991i −0.162457 + 0.148467i
\(691\) 0.579665 0.123212i 0.0220515 0.00468719i −0.196873 0.980429i \(-0.563079\pi\)
0.218924 + 0.975742i \(0.429745\pi\)
\(692\) −3.37645 −0.128353
\(693\) 12.9772 + 5.54916i 0.492962 + 0.210795i
\(694\) 51.4682 1.95371
\(695\) −2.93871 + 0.624643i −0.111472 + 0.0236940i
\(696\) −3.61971 16.4310i −0.137205 0.622815i
\(697\) 22.0737 9.82785i 0.836101 0.372256i
\(698\) 41.9257 + 8.91158i 1.58691 + 0.337308i
\(699\) −10.3313 + 14.4432i −0.390766 + 0.546293i
\(700\) −2.48759 + 23.6678i −0.0940221 + 0.894560i
\(701\) 20.5701 14.9451i 0.776922 0.564467i −0.127131 0.991886i \(-0.540577\pi\)
0.904054 + 0.427419i \(0.140577\pi\)
\(702\) −1.12669 50.7794i −0.0425242 1.91655i
\(703\) 2.62542 0.0990194
\(704\) −41.2852 0.000426626i −1.55599 1.60791e-5i
\(705\) −2.42922 3.29206i −0.0914896 0.123986i
\(706\) 51.5377 + 57.2384i 1.93965 + 2.15420i
\(707\) −1.41300 13.4438i −0.0531414 0.505607i
\(708\) −61.7541 + 36.2652i −2.32086 + 1.36293i
\(709\) 10.1070 11.2250i 0.379576 0.421562i −0.522838 0.852432i \(-0.675127\pi\)
0.902414 + 0.430870i \(0.141793\pi\)
\(710\) −0.668663 2.05793i −0.0250945 0.0772329i
\(711\) 9.32882 + 3.98921i 0.349858 + 0.149607i
\(712\) −7.23882 + 5.25931i −0.271286 + 0.197101i
\(713\) −42.1909 + 8.96796i −1.58006 + 0.335853i
\(714\) 35.5059 3.99749i 1.32877 0.149602i
\(715\) −2.95278 + 3.27947i −0.110428 + 0.122645i
\(716\) 19.2200 33.2900i 0.718284 1.24410i
\(717\) −3.35099 + 16.3591i −0.125145 + 0.610942i
\(718\) 6.38005 + 2.84058i 0.238101 + 0.106010i
\(719\) −9.74281 7.07857i −0.363345 0.263986i 0.391101 0.920348i \(-0.372094\pi\)
−0.754446 + 0.656362i \(0.772094\pi\)
\(720\) 0.833980 0.0123351i 0.0310806 0.000459701i
\(721\) −4.17983 12.8642i −0.155665 0.479088i
\(722\) 2.28920 21.7803i 0.0851953 0.810579i
\(723\) 0.103864 + 0.471472i 0.00386275 + 0.0175342i
\(724\) 41.0725 + 45.6156i 1.52645 + 1.69529i
\(725\) 7.17396 12.4257i 0.266434 0.461477i
\(726\) 38.2630 22.4711i 1.42007 0.833980i
\(727\) −24.7966 42.9489i −0.919654 1.59289i −0.799940 0.600079i \(-0.795136\pi\)
−0.119714 0.992808i \(-0.538198\pi\)
\(728\) −6.10251 + 18.7816i −0.226174 + 0.696092i
\(729\) −7.19630 + 26.0233i −0.266530 + 0.963827i
\(730\) 2.53368 + 1.84082i 0.0937755 + 0.0681319i
\(731\) −14.8452 + 16.4873i −0.549070 + 0.609804i
\(732\) 15.9427 22.2880i 0.589259 0.823788i
\(733\) −29.4759 + 13.1235i −1.08872 + 0.484728i −0.871000 0.491284i \(-0.836528\pi\)
−0.217717 + 0.976012i \(0.569861\pi\)
\(734\) −0.404721 3.85066i −0.0149385 0.142131i
\(735\) 2.04883 + 1.81753i 0.0755724 + 0.0670404i
\(736\) −10.3783 17.9757i −0.382548 0.662593i
\(737\) −32.3368 6.87305i −1.19114 0.253172i
\(738\) 7.97369 25.8344i 0.293516 0.950979i
\(739\) −0.968005 + 2.97921i −0.0356086 + 0.109592i −0.967281 0.253708i \(-0.918350\pi\)
0.931672 + 0.363300i \(0.118350\pi\)
\(740\) −0.840464 0.374199i −0.0308961 0.0137558i
\(741\) −19.5855 11.1154i −0.719490 0.408334i
\(742\) 21.5961 + 4.59040i 0.792818 + 0.168519i
\(743\) −7.61856 1.61938i −0.279498 0.0594091i 0.0660298 0.997818i \(-0.478967\pi\)
−0.345528 + 0.938409i \(0.612300\pi\)
\(744\) 47.6776 + 27.0586i 1.74795 + 0.992016i
\(745\) 1.19536 + 0.532208i 0.0437946 + 0.0194986i
\(746\) −15.4798 + 47.6420i −0.566756 + 1.74430i
\(747\) −39.4495 + 8.99701i −1.44338 + 0.329183i
\(748\) 35.4570 61.4148i 1.29644 2.24555i
\(749\) 3.66865 + 6.35428i 0.134049 + 0.232180i
\(750\) 9.47052 + 8.40132i 0.345815 + 0.306773i
\(751\) −5.19392 49.4168i −0.189529 1.80325i −0.514467 0.857510i \(-0.672010\pi\)
0.324938 0.945735i \(-0.394656\pi\)
\(752\) −5.96953 + 2.65780i −0.217686 + 0.0969201i
\(753\) 4.45941 6.23429i 0.162510 0.227190i
\(754\) 19.1541 21.2727i 0.697549 0.774707i
\(755\) −4.55890 3.31224i −0.165915 0.120545i
\(756\) 14.3786 20.7429i 0.522945 0.754414i
\(757\) −8.35296 + 25.7078i −0.303594 + 0.934365i 0.676605 + 0.736346i \(0.263451\pi\)
−0.980198 + 0.198018i \(0.936549\pi\)
\(758\) −14.4623 25.0495i −0.525295 0.909838i
\(759\) 22.5847 + 12.8173i 0.819774 + 0.465237i
\(760\) 1.62882 2.82121i 0.0590836 0.102336i
\(761\) 29.7834 + 33.0778i 1.07965 + 1.19907i 0.978939 + 0.204153i \(0.0654439\pi\)
0.100707 + 0.994916i \(0.467889\pi\)
\(762\) 11.4596 + 52.0188i 0.415138 + 1.88444i
\(763\) 2.14650 20.4226i 0.0777084 0.739346i
\(764\) 13.6374 + 41.9716i 0.493384 + 1.51848i
\(765\) 2.89293 5.18635i 0.104594 0.187513i
\(766\) −1.50675 1.09472i −0.0544412 0.0395538i
\(767\) −46.2969 20.6127i −1.67168 0.744282i
\(768\) −7.38145 + 36.0353i −0.266355 + 1.30031i
\(769\) 1.65952 2.87438i 0.0598440 0.103653i −0.834551 0.550930i \(-0.814273\pi\)
0.894395 + 0.447277i \(0.147606\pi\)
\(770\) −3.39769 + 0.722237i −0.122444 + 0.0260276i
\(771\) 6.29008 0.708179i 0.226532 0.0255044i
\(772\) 77.5426 16.4822i 2.79082 0.593207i
\(773\) −23.0471 + 16.7447i −0.828946 + 0.602264i −0.919261 0.393649i \(-0.871213\pi\)
0.0903152 + 0.995913i \(0.471213\pi\)
\(774\) 2.95976 + 24.6479i 0.106386 + 0.885950i
\(775\) 14.4465 + 44.4617i 0.518934 + 1.59711i
\(776\) −11.6692 + 12.9600i −0.418901 + 0.465236i
\(777\) −1.79550 + 1.05441i −0.0644132 + 0.0378268i
\(778\) 0.422791 + 4.02259i 0.0151578 + 0.144217i
\(779\) −8.02120 8.90844i −0.287389 0.319178i
\(780\) 4.68555 + 6.34982i 0.167769 + 0.227360i
\(781\) −7.86356 + 5.71334i −0.281380 + 0.204439i
\(782\) 65.7407 2.35088
\(783\) −13.0060 + 7.89877i −0.464796 + 0.282279i
\(784\) 3.53890 2.57116i 0.126389 0.0918273i
\(785\) −0.0668471 + 0.636008i −0.00238588 + 0.0227001i
\(786\) −17.1334 + 23.9525i −0.611127 + 0.854359i
\(787\) −12.7636 2.71298i −0.454972 0.0967072i −0.0252751 0.999681i \(-0.508046\pi\)
−0.429697 + 0.902973i \(0.641379\pi\)
\(788\) 3.37114 1.50093i 0.120092 0.0534684i
\(789\) 5.38543 + 24.4462i 0.191726 + 0.870306i
\(790\) −2.44249 + 0.519167i −0.0868999 + 0.0184711i
\(791\) 10.5417 0.374819
\(792\) −10.6624 31.2348i −0.378872 1.10988i
\(793\) 19.3917 0.688618
\(794\) 56.4058 11.9894i 2.00177 0.425489i
\(795\) 2.70883 2.47556i 0.0960723 0.0877989i
\(796\) 51.3987 22.8842i 1.82178 0.811108i
\(797\) −49.0769 10.4316i −1.73839 0.369507i −0.773838 0.633384i \(-0.781666\pi\)
−0.964556 + 0.263877i \(0.914999\pi\)
\(798\) −7.32950 16.1400i −0.259461 0.571351i
\(799\) −4.86326 + 46.2708i −0.172050 + 1.63694i
\(800\) −18.2003 + 13.2233i −0.643477 + 0.467514i
\(801\) 6.61649 + 4.65923i 0.233782 + 0.164626i
\(802\) 50.8941 1.79713
\(803\) 4.34712 13.3795i 0.153407 0.472154i
\(804\) −23.6455 + 54.1835i −0.833914 + 1.91091i
\(805\) −1.36023 1.51068i −0.0479416 0.0532446i
\(806\) 9.74935 + 92.7589i 0.343406 + 3.26729i
\(807\) 0.0117545 + 1.58954i 0.000413779 + 0.0559546i
\(808\) −21.1519 + 23.4915i −0.744120 + 0.826429i
\(809\) −10.8621 33.4301i −0.381892 1.17534i −0.938710 0.344707i \(-0.887978\pi\)
0.556819 0.830634i \(-0.312022\pi\)
\(810\) −2.23945 6.25633i −0.0786861 0.219825i
\(811\) −17.8837 + 12.9933i −0.627981 + 0.456255i −0.855700 0.517472i \(-0.826873\pi\)
0.227719 + 0.973727i \(0.426873\pi\)
\(812\) 13.9134 2.95739i 0.488266 0.103784i
\(813\) 2.71932 + 3.68521i 0.0953708 + 0.129246i
\(814\) −0.684219 + 6.51055i −0.0239819 + 0.228195i
\(815\) −0.250512 + 0.433900i −0.00877506 + 0.0151989i
\(816\) −7.09541 6.29436i −0.248389 0.220347i
\(817\) 10.0552 + 4.47684i 0.351785 + 0.156625i
\(818\) −15.1391 10.9992i −0.529327 0.384579i
\(819\) 17.8584 0.264137i 0.624024 0.00922971i
\(820\) 1.29808 + 3.99508i 0.0453309 + 0.139514i
\(821\) −0.265209 + 2.52330i −0.00925587 + 0.0880637i −0.998175 0.0603941i \(-0.980764\pi\)
0.988919 + 0.148458i \(0.0474309\pi\)
\(822\) −29.2039 + 26.6890i −1.01860 + 0.930886i
\(823\) −6.94069 7.70841i −0.241937 0.268698i 0.609931 0.792454i \(-0.291197\pi\)
−0.851868 + 0.523756i \(0.824530\pi\)
\(824\) −15.8152 + 27.3928i −0.550950 + 0.954273i
\(825\) 11.2571 25.7962i 0.391921 0.898110i
\(826\) −19.9455 34.5467i −0.693994 1.20203i
\(827\) 16.2925 50.1431i 0.566546 1.74365i −0.0967683 0.995307i \(-0.530851\pi\)
0.663314 0.748341i \(-0.269149\pi\)
\(828\) 30.5593 34.9659i 1.06201 1.21515i
\(829\) −30.6163 22.2440i −1.06335 0.772566i −0.0886419 0.996064i \(-0.528253\pi\)
−0.974705 + 0.223497i \(0.928253\pi\)
\(830\) 6.66343 7.40049i 0.231291 0.256875i
\(831\) −49.8271 4.86479i −1.72848 0.168758i
\(832\) −47.7277 + 21.2497i −1.65466 + 0.736703i
\(833\) −3.25558 30.9748i −0.112799 1.07321i
\(834\) 36.2699 12.0820i 1.25592 0.418367i
\(835\) 2.42863 + 4.20651i 0.0840462 + 0.145572i
\(836\) −34.4135 7.31444i −1.19021 0.252975i
\(837\) 9.23003 48.7137i 0.319037 1.68379i
\(838\) −4.02803 + 12.3970i −0.139146 + 0.428247i
\(839\) −18.3765 8.18173i −0.634426 0.282465i 0.0642158 0.997936i \(-0.479545\pi\)
−0.698642 + 0.715471i \(0.746212\pi\)
\(840\) 0.0191052 + 2.58356i 0.000659192 + 0.0891413i
\(841\) 19.9779 + 4.24643i 0.688893 + 0.146429i
\(842\) −86.2364 18.3301i −2.97190 0.631697i
\(843\) 13.0575 7.66805i 0.449724 0.264102i
\(844\) −46.7660 20.8216i −1.60975 0.716709i
\(845\) −0.452118 + 1.39148i −0.0155533 + 0.0478682i
\(846\) 35.4034 + 38.1688i 1.21719 + 1.31227i
\(847\) 7.80199 + 13.5128i 0.268079 + 0.464305i
\(848\) −2.93048 5.07575i −0.100633 0.174302i
\(849\) −8.06975 + 39.3955i −0.276953 + 1.35205i
\(850\) −7.44790 70.8621i −0.255461 2.43055i
\(851\) −3.49988 + 1.55825i −0.119974 + 0.0534160i
\(852\) 7.18704 + 15.8264i 0.246224 + 0.542202i
\(853\) 6.10260 6.77762i 0.208949 0.232061i −0.629556 0.776955i \(-0.716763\pi\)
0.838505 + 0.544894i \(0.183430\pi\)
\(854\) 12.3489 + 8.97197i 0.422569 + 0.307014i
\(855\) −2.89061 0.569872i −0.0988567 0.0194892i
\(856\) 5.30210 16.3182i 0.181222 0.557744i
\(857\) 0.922678 + 1.59813i 0.0315181 + 0.0545909i 0.881354 0.472456i \(-0.156632\pi\)
−0.849836 + 0.527047i \(0.823299\pi\)
\(858\) 32.6683 45.6715i 1.11528 1.55920i
\(859\) −14.2555 + 24.6913i −0.486392 + 0.842456i −0.999878 0.0156422i \(-0.995021\pi\)
0.513485 + 0.858098i \(0.328354\pi\)
\(860\) −2.58084 2.86631i −0.0880058 0.0977403i
\(861\) 9.06341 + 2.87096i 0.308880 + 0.0978420i
\(862\) 7.25093 68.9880i 0.246968 2.34974i
\(863\) −3.30628 10.1757i −0.112547 0.346385i 0.878880 0.477042i \(-0.158291\pi\)
−0.991428 + 0.130658i \(0.958291\pi\)
\(864\) 23.6671 3.01967i 0.805170 0.102731i
\(865\) −0.252894 0.183738i −0.00859865 0.00624729i
\(866\) −0.594192 0.264551i −0.0201915 0.00898981i
\(867\) −36.1360 + 12.0375i −1.22724 + 0.408813i
\(868\) −23.1735 + 40.1376i −0.786559 + 1.36236i
\(869\) 5.60849 + 9.71396i 0.190255 + 0.329524i
\(870\) 1.49790 3.43242i 0.0507834 0.116370i
\(871\) −40.9206 + 8.69795i −1.38654 + 0.294719i
\(872\) −38.8492 + 28.2256i −1.31560 + 0.955840i
\(873\) 14.5020 + 6.20139i 0.490820 + 0.209885i
\(874\) −10.0786 31.0187i −0.340913 1.04922i
\(875\) −2.97878 + 3.30826i −0.100701 + 0.111840i
\(876\) −21.8792 12.4172i −0.739231 0.419537i
\(877\) −4.26813 40.6086i −0.144125 1.37125i −0.792472 0.609909i \(-0.791206\pi\)
0.648347 0.761345i \(-0.275461\pi\)
\(878\) 23.3707 + 25.9558i 0.788723 + 0.875966i
\(879\) −36.1024 + 4.06464i −1.21770 + 0.137097i
\(880\) 0.746000 + 0.541989i 0.0251477 + 0.0182705i
\(881\) 21.0458 0.709050 0.354525 0.935047i \(-0.384643\pi\)
0.354525 + 0.935047i \(0.384643\pi\)
\(882\) −28.4944 20.0653i −0.959456 0.675634i
\(883\) −10.2973 + 7.48145i −0.346533 + 0.251771i −0.747413 0.664360i \(-0.768704\pi\)
0.400880 + 0.916130i \(0.368704\pi\)
\(884\) 9.38039 89.2484i 0.315497 3.00175i
\(885\) −6.59882 0.644265i −0.221817 0.0216567i
\(886\) −33.0321 7.02120i −1.10974 0.235882i
\(887\) 9.79776 4.36224i 0.328977 0.146470i −0.235601 0.971850i \(-0.575706\pi\)
0.564578 + 0.825380i \(0.309039\pi\)
\(888\) 4.64184 + 1.47037i 0.155770 + 0.0493423i
\(889\) −18.3211 + 3.89427i −0.614470 + 0.130610i
\(890\) −1.99164 −0.0667599
\(891\) −23.6192 + 18.2519i −0.791273 + 0.611463i
\(892\) 6.59606 0.220852
\(893\) 22.5777 4.79904i 0.755535 0.160594i
\(894\) −15.8726 5.02787i −0.530860 0.168157i
\(895\) 3.25113 1.44750i 0.108673 0.0483844i
\(896\) −27.4835 5.84180i −0.918159 0.195161i
\(897\) 32.7062 + 3.19322i 1.09203 + 0.106618i
\(898\) 5.16636 49.1546i 0.172404 1.64031i
\(899\) 22.6060 16.4242i 0.753952 0.547778i
\(900\) −41.1520 28.9786i −1.37173 0.965953i
\(901\) −41.7304 −1.39024
\(902\) 24.1817 17.5695i 0.805164 0.584999i
\(903\) −8.67461 + 0.976645i −0.288673 + 0.0325007i
\(904\) −16.4949 18.3195i −0.548613 0.609296i
\(905\) 0.594012 + 5.65165i 0.0197456 + 0.187867i
\(906\) 62.3614 + 35.3921i 2.07182 + 1.17582i
\(907\) −8.86302 + 9.84338i −0.294292 + 0.326844i −0.872099 0.489329i \(-0.837242\pi\)
0.577807 + 0.816173i \(0.303908\pi\)
\(908\) −16.9422 52.1426i −0.562245 1.73041i
\(909\) 26.2867 + 11.2408i 0.871874 + 0.372833i
\(910\) −3.55618 + 2.58372i −0.117886 + 0.0856494i
\(911\) 55.8762 11.8768i 1.85126 0.393497i 0.858420 0.512948i \(-0.171447\pi\)
0.992840 + 0.119451i \(0.0381134\pi\)
\(912\) −1.88211 + 4.31283i −0.0623228 + 0.142812i
\(913\) −40.8657 18.1941i −1.35246 0.602136i
\(914\) 3.73747 6.47348i 0.123624 0.214124i
\(915\) 2.40696 0.801794i 0.0795716 0.0265065i
\(916\) −1.63582 0.728314i −0.0540490 0.0240642i
\(917\) −8.37786 6.08687i −0.276661 0.201006i
\(918\) −29.1968 + 69.6983i −0.963638 + 2.30039i
\(919\) 5.12287 + 15.7666i 0.168988 + 0.520091i 0.999308 0.0371955i \(-0.0118424\pi\)
−0.830320 + 0.557287i \(0.811842\pi\)
\(920\) −0.496894 + 4.72763i −0.0163821 + 0.155865i
\(921\) 38.1960 + 12.0991i 1.25860 + 0.398679i
\(922\) 41.0259 + 45.5639i 1.35112 + 1.50057i
\(923\) −6.15009 + 10.6523i −0.202433 + 0.350624i
\(924\) 26.4727 8.81875i 0.870887 0.290116i
\(925\) 2.07615 + 3.59600i 0.0682634 + 0.118236i
\(926\) 2.61125 8.03660i 0.0858109 0.264099i
\(927\) 28.0667 + 5.53323i 0.921830 + 0.181735i
\(928\) 10.8784 + 7.90359i 0.357100 + 0.259448i
\(929\) −4.92734 + 5.47236i −0.161661 + 0.179542i −0.818533 0.574459i \(-0.805212\pi\)
0.656872 + 0.754002i \(0.271879\pi\)
\(930\) 5.04546 + 11.1105i 0.165447 + 0.364326i
\(931\) −14.1159 + 6.28478i −0.462629 + 0.205976i
\(932\) 3.66970 + 34.9149i 0.120205 + 1.14368i
\(933\) 7.09569 34.6402i 0.232303 1.13407i
\(934\) 21.5376 + 37.3043i 0.704733 + 1.22063i
\(935\) 5.99776 2.67045i 0.196148 0.0873330i
\(936\) −28.4027 30.6213i −0.928372 1.00089i
\(937\) 14.6033 44.9444i 0.477069 1.46827i −0.366077 0.930584i \(-0.619299\pi\)
0.843147 0.537684i \(-0.180701\pi\)
\(938\) −30.0831 13.3939i −0.982248 0.437325i
\(939\) −50.8396 + 29.8557i −1.65909 + 0.974304i
\(940\) −7.91172 1.68169i −0.258052 0.0548506i
\(941\) 54.9022 + 11.6698i 1.78976 + 0.380425i 0.978823 0.204709i \(-0.0656248\pi\)
0.810937 + 0.585134i \(0.198958\pi\)
\(942\) −0.0601745 8.13730i −0.00196059 0.265127i
\(943\) 15.9803 + 7.11487i 0.520389 + 0.231692i
\(944\) −3.27233 + 10.0712i −0.106505 + 0.327789i
\(945\) 2.20573 0.771186i 0.0717525 0.0250867i
\(946\) −13.7223 + 23.7682i −0.446149 + 0.772772i
\(947\) 6.39323 + 11.0734i 0.207752 + 0.359837i 0.951006 0.309172i \(-0.100052\pi\)
−0.743254 + 0.669009i \(0.766719\pi\)
\(948\) 19.0304 6.33931i 0.618079 0.205891i
\(949\) −1.86086 17.7049i −0.0604061 0.574726i
\(950\) −32.2933 + 14.3779i −1.04773 + 0.466481i
\(951\) 47.2688 + 4.61501i 1.53280 + 0.149652i
\(952\) 19.6595 21.8341i 0.637168 0.707646i
\(953\) 18.8480 + 13.6939i 0.610547 + 0.443588i 0.849607 0.527417i \(-0.176839\pi\)
−0.239060 + 0.971005i \(0.576839\pi\)
\(954\) −30.7281 + 35.1590i −0.994858 + 1.13832i
\(955\) −1.26256 + 3.88576i −0.0408555 + 0.125740i
\(956\) 16.5067 + 28.5904i 0.533864 + 0.924680i
\(957\) −16.7430 1.63451i −0.541226 0.0528361i
\(958\) 0.182825 0.316662i 0.00590680 0.0102309i
\(959\) −9.30870 10.3384i −0.300593 0.333843i
\(960\) −5.04551 + 4.61101i −0.162843 + 0.148820i
\(961\) −6.27644 + 59.7163i −0.202466 + 1.92633i
\(962\) 2.55995 + 7.87872i 0.0825362 + 0.254020i
\(963\) −15.5161 + 0.229493i −0.499999 + 0.00739530i
\(964\) 0.772163 + 0.561009i 0.0248697 + 0.0180689i
\(965\) 6.70482 + 2.98518i 0.215836 + 0.0960962i
\(966\) 19.3503 + 17.1657i 0.622586 + 0.552297i
\(967\) 27.7586 48.0794i 0.892657 1.54613i 0.0559798 0.998432i \(-0.482172\pi\)
0.836677 0.547696i \(-0.184495\pi\)
\(968\) 11.2747 34.7023i 0.362382 1.11537i
\(969\) 19.8932 + 26.9591i 0.639062 + 0.866052i
\(970\) −3.79695 + 0.807068i −0.121913 + 0.0259134i
\(971\) 3.65698 2.65695i 0.117358 0.0852656i −0.527558 0.849519i \(-0.676892\pi\)
0.644916 + 0.764253i \(0.276892\pi\)
\(972\) 23.4988 + 47.9281i 0.753726 + 1.53729i
\(973\) 4.15409 + 12.7850i 0.133174 + 0.409867i
\(974\) 27.9368 31.0269i 0.895152 0.994167i
\(975\) −0.263376 35.6158i −0.00843478 1.14062i
\(976\) −0.423547 4.02978i −0.0135574 0.128990i
\(977\) −18.0928 20.0941i −0.578840 0.642867i 0.380613 0.924734i \(-0.375713\pi\)
−0.959453 + 0.281867i \(0.909046\pi\)
\(978\) 2.54994 5.84317i 0.0815382 0.186844i
\(979\) 2.76469 + 8.50854i 0.0883599 + 0.271934i
\(980\) 5.41462 0.172964
\(981\) 35.5093 + 25.0051i 1.13372 + 0.798351i
\(982\) 12.5261 9.10076i 0.399725 0.290417i
\(983\) −1.11193 + 10.5793i −0.0354651 + 0.337428i 0.962374 + 0.271727i \(0.0875949\pi\)
−0.997839 + 0.0657006i \(0.979072\pi\)
\(984\) −9.19262 20.2428i −0.293050 0.645316i
\(985\) 0.334174 + 0.0710309i 0.0106477 + 0.00226323i
\(986\) −38.9059 + 17.3220i −1.23902 + 0.551645i
\(987\) −13.5133 + 12.3496i −0.430134 + 0.393093i
\(988\) −43.5486 + 9.25653i −1.38546 + 0.294490i
\(989\) −16.0614 −0.510723
\(990\) 2.16651 7.01966i 0.0688562 0.223100i
\(991\) −18.7938 −0.597005 −0.298502 0.954409i \(-0.596487\pi\)
−0.298502 + 0.954409i \(0.596487\pi\)
\(992\) −42.8550 + 9.10912i −1.36065 + 0.289215i
\(993\) 6.69710 + 30.4002i 0.212526 + 0.964722i
\(994\) −8.84496 + 3.93803i −0.280545 + 0.124907i
\(995\) 5.09504 + 1.08298i 0.161524 + 0.0343329i
\(996\) −46.5394 + 65.0623i −1.47466 + 2.06158i
\(997\) 2.73106 25.9843i 0.0864935 0.822931i −0.862165 0.506628i \(-0.830892\pi\)
0.948658 0.316303i \(-0.102442\pi\)
\(998\) −63.9637 + 46.4723i −2.02473 + 1.47106i
\(999\) −0.0976853 4.40263i −0.00309063 0.139293i
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 99.2.m.b.31.1 yes 72
3.2 odd 2 297.2.n.b.64.9 72
9.2 odd 6 297.2.n.b.262.1 72
9.4 even 3 891.2.f.f.163.9 36
9.5 odd 6 891.2.f.e.163.1 36
9.7 even 3 inner 99.2.m.b.97.9 yes 72
11.4 even 5 1089.2.e.p.364.1 36
11.5 even 5 inner 99.2.m.b.49.9 yes 72
11.7 odd 10 1089.2.e.o.364.18 36
33.5 odd 10 297.2.n.b.280.1 72
99.4 even 15 9801.2.a.cm.1.18 18
99.5 odd 30 891.2.f.e.82.1 36
99.7 odd 30 1089.2.e.o.727.18 36
99.16 even 15 inner 99.2.m.b.16.1 72
99.38 odd 30 297.2.n.b.181.9 72
99.40 odd 30 9801.2.a.co.1.1 18
99.49 even 15 891.2.f.f.82.9 36
99.59 odd 30 9801.2.a.cp.1.1 18
99.70 even 15 1089.2.e.p.727.1 36
99.95 even 30 9801.2.a.cn.1.18 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.16.1 72 99.16 even 15 inner
99.2.m.b.31.1 yes 72 1.1 even 1 trivial
99.2.m.b.49.9 yes 72 11.5 even 5 inner
99.2.m.b.97.9 yes 72 9.7 even 3 inner
297.2.n.b.64.9 72 3.2 odd 2
297.2.n.b.181.9 72 99.38 odd 30
297.2.n.b.262.1 72 9.2 odd 6
297.2.n.b.280.1 72 33.5 odd 10
891.2.f.e.82.1 36 99.5 odd 30
891.2.f.e.163.1 36 9.5 odd 6
891.2.f.f.82.9 36 99.49 even 15
891.2.f.f.163.9 36 9.4 even 3
1089.2.e.o.364.18 36 11.7 odd 10
1089.2.e.o.727.18 36 99.7 odd 30
1089.2.e.p.364.1 36 11.4 even 5
1089.2.e.p.727.1 36 99.70 even 15
9801.2.a.cm.1.18 18 99.4 even 15
9801.2.a.cn.1.18 18 99.95 even 30
9801.2.a.co.1.1 18 99.40 odd 30
9801.2.a.cp.1.1 18 99.59 odd 30