Properties

Label 162.2.g.a.13.4
Level $162$
Weight $2$
Character 162.13
Analytic conductor $1.294$
Analytic rank $0$
Dimension $72$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(4\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 162.13
Dual form 162.2.g.a.25.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.893633 - 0.448799i) q^{2} +(0.674015 + 1.59553i) q^{3} +(0.597159 + 0.802123i) q^{4} +(0.195520 + 0.653084i) q^{5} +(0.113749 - 1.72831i) q^{6} +(0.386069 + 0.895009i) q^{7} +(-0.173648 - 0.984808i) q^{8} +(-2.09141 + 2.15082i) q^{9} +(0.118380 - 0.671366i) q^{10} +(-2.53703 + 0.601286i) q^{11} +(-0.877315 + 1.49343i) q^{12} +(4.17145 + 2.74361i) q^{13} +(0.0566753 - 0.973077i) q^{14} +(-0.910229 + 0.752146i) q^{15} +(-0.286803 + 0.957990i) q^{16} +(0.260353 - 0.0947609i) q^{17} +(2.83424 - 0.983417i) q^{18} +(0.980818 + 0.356989i) q^{19} +(-0.407097 + 0.546826i) q^{20} +(-1.16779 + 1.21923i) q^{21} +(2.53703 + 0.601286i) q^{22} +(1.91135 - 4.43101i) q^{23} +(1.45425 - 0.940835i) q^{24} +(3.78915 - 2.49216i) q^{25} +(-2.49642 - 4.32392i) q^{26} +(-4.84132 - 1.88722i) q^{27} +(-0.487363 + 0.844138i) q^{28} +(0.0947041 + 1.62601i) q^{29} +(1.15097 - 0.263632i) q^{30} +(-0.00909867 + 0.00106348i) q^{31} +(0.686242 - 0.727374i) q^{32} +(-2.66936 - 3.64262i) q^{33} +(-0.275189 - 0.0321650i) q^{34} +(-0.509032 + 0.427128i) q^{35} +(-2.97412 - 0.393189i) q^{36} +(-4.52007 - 3.79279i) q^{37} +(-0.716275 - 0.759207i) q^{38} +(-1.56588 + 8.50489i) q^{39} +(0.609210 - 0.305957i) q^{40} +(7.48493 - 3.75907i) q^{41} +(1.59077 - 0.565441i) q^{42} +(-8.21135 - 8.70352i) q^{43} +(-1.99731 - 1.67594i) q^{44} +(-1.81358 - 0.945337i) q^{45} +(-3.69668 + 3.10188i) q^{46} +(-9.17545 - 1.07246i) q^{47} +(-1.72181 + 0.188097i) q^{48} +(4.15170 - 4.40054i) q^{49} +(-4.50459 + 0.526511i) q^{50} +(0.326676 + 0.351531i) q^{51} +(0.290307 + 4.98439i) q^{52} +(1.58100 - 2.73837i) q^{53} +(3.47938 + 3.85926i) q^{54} +(-0.888731 - 1.53933i) q^{55} +(0.814372 - 0.535621i) q^{56} +(0.0915010 + 1.80554i) q^{57} +(0.645120 - 1.49556i) q^{58} +(13.2141 + 3.13179i) q^{59} +(-1.14686 - 0.280965i) q^{60} +(3.46192 - 4.65017i) q^{61} +(0.00860816 + 0.00313311i) q^{62} +(-2.73243 - 1.04147i) q^{63} +(-0.939693 + 0.342020i) q^{64} +(-0.976201 + 3.26074i) q^{65} +(0.750624 + 4.45317i) q^{66} +(-0.747251 + 12.8298i) q^{67} +(0.231482 + 0.152248i) q^{68} +(8.35807 + 0.0630455i) q^{69} +(0.646582 - 0.153243i) q^{70} +(-0.445365 + 2.52579i) q^{71} +(2.48131 + 1.68615i) q^{72} +(0.289549 + 1.64211i) q^{73} +(2.33708 + 5.41796i) q^{74} +(6.53025 + 4.36593i) q^{75} +(0.299355 + 0.999916i) q^{76} +(-1.51762 - 2.03852i) q^{77} +(5.21631 - 6.89748i) q^{78} +(-4.63186 - 2.32621i) q^{79} -0.681723 q^{80} +(-0.252020 - 8.99647i) q^{81} -8.37585 q^{82} +(10.6058 + 5.32643i) q^{83} +(-1.67533 - 0.208640i) q^{84} +(0.112791 + 0.151505i) q^{85} +(3.43180 + 11.4630i) q^{86} +(-2.53050 + 1.24706i) q^{87} +(1.03270 + 2.39407i) q^{88} +(1.45217 + 8.23569i) q^{89} +(1.19640 + 1.65872i) q^{90} +(-0.845084 + 4.79271i) q^{91} +(4.69559 - 1.11288i) q^{92} +(-0.00782945 - 0.0138004i) q^{93} +(7.71817 + 5.07632i) q^{94} +(-0.0413735 + 0.710355i) q^{95} +(1.62308 + 0.604656i) q^{96} +(4.54640 - 15.1860i) q^{97} +(-5.68505 + 2.06919i) q^{98} +(4.01270 - 6.71421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 9 q^{6} + 18 q^{13} - 9 q^{20} - 81 q^{23} + 18 q^{25} - 27 q^{26} - 27 q^{27} + 18 q^{28} - 27 q^{29} - 63 q^{30} - 54 q^{31} + 9 q^{33} - 27 q^{35} - 9 q^{36} + 9 q^{38} - 9 q^{41} + 9 q^{42} + 36 q^{43}+ \cdots + 99 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{4}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.893633 0.448799i −0.631894 0.317349i
\(3\) 0.674015 + 1.59553i 0.389143 + 0.921178i
\(4\) 0.597159 + 0.802123i 0.298579 + 0.401062i
\(5\) 0.195520 + 0.653084i 0.0874394 + 0.292068i 0.990513 0.137417i \(-0.0438802\pi\)
−0.903074 + 0.429485i \(0.858695\pi\)
\(6\) 0.113749 1.72831i 0.0464380 0.705580i
\(7\) 0.386069 + 0.895009i 0.145921 + 0.338282i 0.975464 0.220161i \(-0.0706583\pi\)
−0.829543 + 0.558443i \(0.811399\pi\)
\(8\) −0.173648 0.984808i −0.0613939 0.348182i
\(9\) −2.09141 + 2.15082i −0.697136 + 0.716939i
\(10\) 0.118380 0.671366i 0.0374350 0.212305i
\(11\) −2.53703 + 0.601286i −0.764942 + 0.181295i −0.594525 0.804077i \(-0.702660\pi\)
−0.170417 + 0.985372i \(0.554512\pi\)
\(12\) −0.877315 + 1.49343i −0.253259 + 0.431115i
\(13\) 4.17145 + 2.74361i 1.15695 + 0.760940i 0.974964 0.222361i \(-0.0713764\pi\)
0.181988 + 0.983301i \(0.441747\pi\)
\(14\) 0.0566753 0.973077i 0.0151471 0.260066i
\(15\) −0.910229 + 0.752146i −0.235020 + 0.194203i
\(16\) −0.286803 + 0.957990i −0.0717008 + 0.239497i
\(17\) 0.260353 0.0947609i 0.0631450 0.0229829i −0.310255 0.950654i \(-0.600414\pi\)
0.373400 + 0.927671i \(0.378192\pi\)
\(18\) 2.83424 0.983417i 0.668036 0.231794i
\(19\) 0.980818 + 0.356989i 0.225015 + 0.0818988i 0.452067 0.891984i \(-0.350687\pi\)
−0.227052 + 0.973883i \(0.572909\pi\)
\(20\) −0.407097 + 0.546826i −0.0910296 + 0.122274i
\(21\) −1.16779 + 1.21923i −0.254834 + 0.266059i
\(22\) 2.53703 + 0.601286i 0.540896 + 0.128195i
\(23\) 1.91135 4.43101i 0.398544 0.923929i −0.594271 0.804265i \(-0.702559\pi\)
0.992815 0.119664i \(-0.0381816\pi\)
\(24\) 1.45425 0.940835i 0.296847 0.192047i
\(25\) 3.78915 2.49216i 0.757830 0.498432i
\(26\) −2.49642 4.32392i −0.489588 0.847991i
\(27\) −4.84132 1.88722i −0.931713 0.363195i
\(28\) −0.487363 + 0.844138i −0.0921030 + 0.159527i
\(29\) 0.0947041 + 1.62601i 0.0175861 + 0.301942i 0.995620 + 0.0934948i \(0.0298038\pi\)
−0.978034 + 0.208447i \(0.933159\pi\)
\(30\) 1.15097 0.263632i 0.210138 0.0481325i
\(31\) −0.00909867 + 0.00106348i −0.00163417 + 0.000191007i −0.116910 0.993143i \(-0.537299\pi\)
0.115276 + 0.993334i \(0.463225\pi\)
\(32\) 0.686242 0.727374i 0.121312 0.128583i
\(33\) −2.66936 3.64262i −0.464676 0.634098i
\(34\) −0.275189 0.0321650i −0.0471945 0.00551625i
\(35\) −0.509032 + 0.427128i −0.0860421 + 0.0721979i
\(36\) −2.97412 0.393189i −0.495687 0.0655315i
\(37\) −4.52007 3.79279i −0.743094 0.623530i 0.190573 0.981673i \(-0.438966\pi\)
−0.933667 + 0.358143i \(0.883410\pi\)
\(38\) −0.716275 0.759207i −0.116195 0.123160i
\(39\) −1.56588 + 8.50489i −0.250741 + 1.36187i
\(40\) 0.609210 0.305957i 0.0963246 0.0483760i
\(41\) 7.48493 3.75907i 1.16895 0.587069i 0.244978 0.969529i \(-0.421219\pi\)
0.923972 + 0.382460i \(0.124923\pi\)
\(42\) 1.59077 0.565441i 0.245461 0.0872495i
\(43\) −8.21135 8.70352i −1.25222 1.32727i −0.923865 0.382720i \(-0.874988\pi\)
−0.328354 0.944555i \(-0.606494\pi\)
\(44\) −1.99731 1.67594i −0.301106 0.252658i
\(45\) −1.81358 0.945337i −0.270352 0.140922i
\(46\) −3.69668 + 3.10188i −0.545045 + 0.457347i
\(47\) −9.17545 1.07246i −1.33838 0.156434i −0.583400 0.812185i \(-0.698278\pi\)
−0.754977 + 0.655751i \(0.772352\pi\)
\(48\) −1.72181 + 0.188097i −0.248521 + 0.0271494i
\(49\) 4.15170 4.40054i 0.593100 0.628649i
\(50\) −4.50459 + 0.526511i −0.637045 + 0.0744599i
\(51\) 0.326676 + 0.351531i 0.0457437 + 0.0492241i
\(52\) 0.290307 + 4.98439i 0.0402584 + 0.691210i
\(53\) 1.58100 2.73837i 0.217167 0.376144i −0.736774 0.676139i \(-0.763652\pi\)
0.953941 + 0.299995i \(0.0969850\pi\)
\(54\) 3.47938 + 3.85926i 0.473484 + 0.525179i
\(55\) −0.888731 1.53933i −0.119836 0.207563i
\(56\) 0.814372 0.535621i 0.108825 0.0715753i
\(57\) 0.0915010 + 1.80554i 0.0121196 + 0.239149i
\(58\) 0.645120 1.49556i 0.0847084 0.196376i
\(59\) 13.2141 + 3.13179i 1.72032 + 0.407724i 0.967976 0.251042i \(-0.0807732\pi\)
0.752348 + 0.658766i \(0.228921\pi\)
\(60\) −1.14686 0.280965i −0.148060 0.0362724i
\(61\) 3.46192 4.65017i 0.443254 0.595393i −0.523207 0.852205i \(-0.675265\pi\)
0.966461 + 0.256812i \(0.0826721\pi\)
\(62\) 0.00860816 + 0.00313311i 0.00109324 + 0.000397906i
\(63\) −2.73243 1.04147i −0.344254 0.131212i
\(64\) −0.939693 + 0.342020i −0.117462 + 0.0427525i
\(65\) −0.976201 + 3.26074i −0.121083 + 0.404445i
\(66\) 0.750624 + 4.45317i 0.0923955 + 0.548147i
\(67\) −0.747251 + 12.8298i −0.0912913 + 1.56741i 0.572760 + 0.819723i \(0.305873\pi\)
−0.664051 + 0.747687i \(0.731164\pi\)
\(68\) 0.231482 + 0.152248i 0.0280713 + 0.0184628i
\(69\) 8.35807 + 0.0630455i 1.00619 + 0.00758978i
\(70\) 0.646582 0.153243i 0.0772813 0.0183160i
\(71\) −0.445365 + 2.52579i −0.0528552 + 0.299757i −0.999764 0.0217471i \(-0.993077\pi\)
0.946908 + 0.321504i \(0.104188\pi\)
\(72\) 2.48131 + 1.68615i 0.292425 + 0.198715i
\(73\) 0.289549 + 1.64211i 0.0338891 + 0.192195i 0.997053 0.0767220i \(-0.0244454\pi\)
−0.963163 + 0.268917i \(0.913334\pi\)
\(74\) 2.33708 + 5.41796i 0.271680 + 0.629825i
\(75\) 6.53025 + 4.36593i 0.754049 + 0.504135i
\(76\) 0.299355 + 0.999916i 0.0343384 + 0.114698i
\(77\) −1.51762 2.03852i −0.172949 0.232311i
\(78\) 5.21631 6.89748i 0.590631 0.780986i
\(79\) −4.63186 2.32621i −0.521125 0.261719i 0.168735 0.985661i \(-0.446032\pi\)
−0.689860 + 0.723943i \(0.742328\pi\)
\(80\) −0.681723 −0.0762190
\(81\) −0.252020 8.99647i −0.0280023 0.999608i
\(82\) −8.37585 −0.924958
\(83\) 10.6058 + 5.32643i 1.16414 + 0.584651i 0.922607 0.385742i \(-0.126054\pi\)
0.241530 + 0.970393i \(0.422351\pi\)
\(84\) −1.67533 0.208640i −0.182794 0.0227644i
\(85\) 0.112791 + 0.151505i 0.0122339 + 0.0164330i
\(86\) 3.43180 + 11.4630i 0.370060 + 1.23609i
\(87\) −2.53050 + 1.24706i −0.271299 + 0.133698i
\(88\) 1.03270 + 2.39407i 0.110086 + 0.255209i
\(89\) 1.45217 + 8.23569i 0.153930 + 0.872981i 0.959757 + 0.280830i \(0.0906098\pi\)
−0.805827 + 0.592151i \(0.798279\pi\)
\(90\) 1.19640 + 1.65872i 0.126112 + 0.174844i
\(91\) −0.845084 + 4.79271i −0.0885889 + 0.502413i
\(92\) 4.69559 1.11288i 0.489549 0.116025i
\(93\) −0.00782945 0.0138004i −0.000811876 0.00143103i
\(94\) 7.71817 + 5.07632i 0.796068 + 0.523582i
\(95\) −0.0413735 + 0.710355i −0.00424483 + 0.0728809i
\(96\) 1.62308 + 0.604656i 0.165655 + 0.0617125i
\(97\) 4.54640 15.1860i 0.461617 1.54191i −0.337852 0.941199i \(-0.609700\pi\)
0.799469 0.600708i \(-0.205114\pi\)
\(98\) −5.68505 + 2.06919i −0.574277 + 0.209020i
\(99\) 4.01270 6.71421i 0.403292 0.674803i
\(100\) 4.26174 + 1.55115i 0.426174 + 0.155115i
\(101\) −8.68662 + 11.6682i −0.864351 + 1.16103i 0.121364 + 0.992608i \(0.461273\pi\)
−0.985716 + 0.168417i \(0.946134\pi\)
\(102\) −0.134161 0.460751i −0.0132840 0.0456211i
\(103\) −7.77307 1.84225i −0.765903 0.181522i −0.170947 0.985280i \(-0.554683\pi\)
−0.594957 + 0.803758i \(0.702831\pi\)
\(104\) 1.97756 4.58450i 0.193916 0.449547i
\(105\) −1.02459 0.524283i −0.0999897 0.0511648i
\(106\) −2.64181 + 1.73755i −0.256596 + 0.168766i
\(107\) −4.72648 8.18650i −0.456926 0.791419i 0.541871 0.840462i \(-0.317716\pi\)
−0.998797 + 0.0490431i \(0.984383\pi\)
\(108\) −1.37726 5.01031i −0.132527 0.482117i
\(109\) −2.22505 + 3.85390i −0.213121 + 0.369137i −0.952690 0.303945i \(-0.901696\pi\)
0.739569 + 0.673081i \(0.235030\pi\)
\(110\) 0.103350 + 1.77445i 0.00985405 + 0.169188i
\(111\) 3.00490 9.76828i 0.285212 0.927164i
\(112\) −0.968136 + 0.113159i −0.0914802 + 0.0106925i
\(113\) −0.476925 + 0.505511i −0.0448653 + 0.0475545i −0.749418 0.662098i \(-0.769666\pi\)
0.704552 + 0.709652i \(0.251148\pi\)
\(114\) 0.728555 1.65455i 0.0682354 0.154963i
\(115\) 3.26753 + 0.381919i 0.304698 + 0.0356141i
\(116\) −1.24770 + 1.04695i −0.115846 + 0.0972067i
\(117\) −14.6252 + 3.23402i −1.35210 + 0.298986i
\(118\) −10.4030 8.72913i −0.957671 0.803581i
\(119\) 0.185326 + 0.196435i 0.0169888 + 0.0180071i
\(120\) 0.898779 + 0.765792i 0.0820469 + 0.0699069i
\(121\) −3.75501 + 1.88584i −0.341364 + 0.171440i
\(122\) −5.18068 + 2.60184i −0.469037 + 0.235559i
\(123\) 11.0427 + 9.40873i 0.995683 + 0.848357i
\(124\) −0.00628639 0.00666318i −0.000564535 0.000598372i
\(125\) 4.97960 + 4.17838i 0.445389 + 0.373726i
\(126\) 1.97438 + 2.15700i 0.175892 + 0.192161i
\(127\) −12.8393 + 10.7734i −1.13930 + 0.955988i −0.999416 0.0341795i \(-0.989118\pi\)
−0.139886 + 0.990168i \(0.544674\pi\)
\(128\) 0.993238 + 0.116093i 0.0877907 + 0.0102613i
\(129\) 8.35213 18.9677i 0.735364 1.67001i
\(130\) 2.33578 2.47578i 0.204862 0.217141i
\(131\) −17.8557 + 2.08704i −1.56006 + 0.182345i −0.851900 0.523704i \(-0.824550\pi\)
−0.708163 + 0.706049i \(0.750476\pi\)
\(132\) 1.32779 4.31637i 0.115570 0.375692i
\(133\) 0.0591557 + 1.01566i 0.00512945 + 0.0880692i
\(134\) 6.42577 11.1298i 0.555102 0.961466i
\(135\) 0.285932 3.53078i 0.0246091 0.303881i
\(136\) −0.138531 0.239943i −0.0118790 0.0205749i
\(137\) 6.40237 4.21091i 0.546992 0.359762i −0.245737 0.969336i \(-0.579030\pi\)
0.792729 + 0.609574i \(0.208660\pi\)
\(138\) −7.44075 3.80743i −0.633398 0.324110i
\(139\) −2.97470 + 6.89612i −0.252311 + 0.584922i −0.996550 0.0829909i \(-0.973553\pi\)
0.744240 + 0.667913i \(0.232812\pi\)
\(140\) −0.646582 0.153243i −0.0546462 0.0129514i
\(141\) −4.47326 15.3625i −0.376716 1.29376i
\(142\) 1.53157 2.05725i 0.128526 0.172641i
\(143\) −12.2328 4.45236i −1.02296 0.372325i
\(144\) −1.46064 2.62041i −0.121720 0.218367i
\(145\) −1.04340 + 0.379767i −0.0866498 + 0.0315380i
\(146\) 0.478229 1.59740i 0.0395785 0.132201i
\(147\) 9.81949 + 3.65811i 0.809898 + 0.301716i
\(148\) 0.343085 5.89054i 0.0282014 0.484200i
\(149\) 11.6176 + 7.64102i 0.951752 + 0.625977i 0.927538 0.373730i \(-0.121921\pi\)
0.0242141 + 0.999707i \(0.492292\pi\)
\(150\) −3.87622 6.83231i −0.316492 0.557856i
\(151\) −9.19351 + 2.17890i −0.748158 + 0.177317i −0.586972 0.809607i \(-0.699680\pi\)
−0.161186 + 0.986924i \(0.551532\pi\)
\(152\) 0.181248 1.02791i 0.0147011 0.0833743i
\(153\) −0.340692 + 0.758156i −0.0275433 + 0.0612933i
\(154\) 0.441311 + 2.50280i 0.0355619 + 0.201681i
\(155\) −0.00247352 0.00573426i −0.000198678 0.000460587i
\(156\) −7.75705 + 3.82274i −0.621061 + 0.306064i
\(157\) −4.03874 13.4903i −0.322327 1.07665i −0.953598 0.301084i \(-0.902652\pi\)
0.631271 0.775562i \(-0.282533\pi\)
\(158\) 3.09518 + 4.15755i 0.246239 + 0.330757i
\(159\) 5.43476 + 0.676824i 0.431005 + 0.0536756i
\(160\) 0.609210 + 0.305957i 0.0481623 + 0.0241880i
\(161\) 4.70371 0.370704
\(162\) −3.81240 + 8.15265i −0.299530 + 0.640532i
\(163\) 22.6445 1.77366 0.886829 0.462098i \(-0.152903\pi\)
0.886829 + 0.462098i \(0.152903\pi\)
\(164\) 7.48493 + 3.75907i 0.584475 + 0.293534i
\(165\) 1.85702 2.45552i 0.144569 0.191162i
\(166\) −7.08718 9.51974i −0.550072 0.738875i
\(167\) −2.40433 8.03101i −0.186052 0.621458i −0.999222 0.0394319i \(-0.987445\pi\)
0.813170 0.582026i \(-0.197740\pi\)
\(168\) 1.40350 + 0.938336i 0.108282 + 0.0723942i
\(169\) 4.72459 + 10.9528i 0.363430 + 0.842526i
\(170\) −0.0327986 0.186010i −0.00251554 0.0142663i
\(171\) −2.81911 + 1.36295i −0.215583 + 0.104227i
\(172\) 2.07782 11.7839i 0.158432 0.898513i
\(173\) −19.3671 + 4.59010i −1.47246 + 0.348979i −0.887017 0.461737i \(-0.847226\pi\)
−0.585440 + 0.810716i \(0.699078\pi\)
\(174\) 2.82102 + 0.0212791i 0.213861 + 0.00161317i
\(175\) 3.69338 + 2.42918i 0.279194 + 0.183628i
\(176\) 0.151601 2.60289i 0.0114274 0.196201i
\(177\) 3.90962 + 23.1943i 0.293865 + 1.74339i
\(178\) 2.39846 8.01141i 0.179772 0.600481i
\(179\) 15.8770 5.77875i 1.18670 0.431924i 0.328137 0.944630i \(-0.393579\pi\)
0.858564 + 0.512706i \(0.171357\pi\)
\(180\) −0.324716 2.01923i −0.0242029 0.150504i
\(181\) 23.1653 + 8.43147i 1.72186 + 0.626707i 0.997999 0.0632366i \(-0.0201423\pi\)
0.723864 + 0.689943i \(0.242365\pi\)
\(182\) 2.90616 3.90365i 0.215419 0.289358i
\(183\) 9.75286 + 2.38931i 0.720952 + 0.176623i
\(184\) −4.69559 1.11288i −0.346164 0.0820423i
\(185\) 1.59324 3.69355i 0.117137 0.271555i
\(186\) 0.000803059 0.0158463i 5.88832e−5 0.00116191i
\(187\) −0.603545 + 0.396958i −0.0441356 + 0.0290284i
\(188\) −4.61896 8.00027i −0.336872 0.583480i
\(189\) −0.180011 5.06163i −0.0130939 0.368179i
\(190\) 0.355779 0.616228i 0.0258110 0.0447059i
\(191\) −0.899470 15.4433i −0.0650834 1.11744i −0.859858 0.510533i \(-0.829448\pi\)
0.794775 0.606905i \(-0.207589\pi\)
\(192\) −1.17907 1.26878i −0.0850920 0.0915661i
\(193\) −13.6223 + 1.59222i −0.980553 + 0.114610i −0.591240 0.806495i \(-0.701362\pi\)
−0.389313 + 0.921106i \(0.627287\pi\)
\(194\) −10.8783 + 11.5303i −0.781015 + 0.827828i
\(195\) −5.86057 + 0.640231i −0.419684 + 0.0458479i
\(196\) 6.00900 + 0.702352i 0.429214 + 0.0501680i
\(197\) −15.3766 + 12.9025i −1.09554 + 0.919266i −0.997117 0.0758785i \(-0.975824\pi\)
−0.0984219 + 0.995145i \(0.531379\pi\)
\(198\) −6.59921 + 4.19914i −0.468986 + 0.298420i
\(199\) −6.75579 5.66878i −0.478905 0.401849i 0.371125 0.928583i \(-0.378972\pi\)
−0.850030 + 0.526734i \(0.823417\pi\)
\(200\) −3.11228 3.29882i −0.220071 0.233262i
\(201\) −20.9740 + 7.45522i −1.47939 + 0.525851i
\(202\) 12.9993 6.52850i 0.914628 0.459344i
\(203\) −1.41873 + 0.712512i −0.0995752 + 0.0500086i
\(204\) −0.0868937 + 0.471954i −0.00608378 + 0.0330434i
\(205\) 3.91845 + 4.15331i 0.273676 + 0.290080i
\(206\) 6.11947 + 5.13484i 0.426363 + 0.357761i
\(207\) 5.53287 + 13.3780i 0.384561 + 0.929836i
\(208\) −3.82473 + 3.20933i −0.265197 + 0.222527i
\(209\) −2.70301 0.315937i −0.186971 0.0218538i
\(210\) 0.680309 + 0.928351i 0.0469458 + 0.0640623i
\(211\) 0.218012 0.231079i 0.0150086 0.0159082i −0.719826 0.694155i \(-0.755778\pi\)
0.734834 + 0.678247i \(0.237260\pi\)
\(212\) 3.14062 0.367086i 0.215699 0.0252116i
\(213\) −4.33015 + 0.991829i −0.296697 + 0.0679590i
\(214\) 0.549640 + 9.43696i 0.0375726 + 0.645097i
\(215\) 4.07864 7.06441i 0.278161 0.481789i
\(216\) −1.01786 + 5.09548i −0.0692564 + 0.346704i
\(217\) −0.00446454 0.00773281i −0.000303073 0.000524938i
\(218\) 3.71800 2.44537i 0.251815 0.165621i
\(219\) −2.42488 + 1.56879i −0.163858 + 0.106009i
\(220\) 0.704016 1.63209i 0.0474648 0.110036i
\(221\) 1.34604 + 0.319017i 0.0905444 + 0.0214594i
\(222\) −7.06927 + 7.38065i −0.474458 + 0.495357i
\(223\) −5.88880 + 7.91003i −0.394343 + 0.529694i −0.954309 0.298821i \(-0.903407\pi\)
0.559966 + 0.828515i \(0.310814\pi\)
\(224\) 0.915943 + 0.333376i 0.0611990 + 0.0222746i
\(225\) −2.56448 + 13.3619i −0.170965 + 0.890793i
\(226\) 0.653069 0.237698i 0.0434415 0.0158114i
\(227\) 4.67574 15.6181i 0.310340 1.03661i −0.650501 0.759505i \(-0.725441\pi\)
0.960841 0.277101i \(-0.0893737\pi\)
\(228\) −1.39362 + 1.15159i −0.0922949 + 0.0762657i
\(229\) −0.361341 + 6.20398i −0.0238781 + 0.409971i 0.965097 + 0.261891i \(0.0843462\pi\)
−0.988975 + 0.148079i \(0.952691\pi\)
\(230\) −2.74856 1.80776i −0.181235 0.119200i
\(231\) 2.22962 3.79540i 0.146698 0.249719i
\(232\) 1.58486 0.375618i 0.104051 0.0246606i
\(233\) −1.22137 + 6.92674i −0.0800146 + 0.453786i 0.918307 + 0.395869i \(0.129557\pi\)
−0.998321 + 0.0579161i \(0.981554\pi\)
\(234\) 14.5210 + 3.67375i 0.949267 + 0.240161i
\(235\) −1.09358 6.20203i −0.0713376 0.404576i
\(236\) 5.37881 + 12.4695i 0.350131 + 0.811694i
\(237\) 0.589584 8.95815i 0.0382976 0.581894i
\(238\) −0.0774541 0.258715i −0.00502060 0.0167700i
\(239\) −2.18145 2.93019i −0.141106 0.189538i 0.725952 0.687745i \(-0.241399\pi\)
−0.867058 + 0.498207i \(0.833992\pi\)
\(240\) −0.459491 1.08771i −0.0296600 0.0702112i
\(241\) −1.58703 0.797036i −0.102230 0.0513416i 0.396950 0.917840i \(-0.370069\pi\)
−0.499179 + 0.866499i \(0.666365\pi\)
\(242\) 4.20196 0.270112
\(243\) 14.1842 6.46586i 0.909919 0.414785i
\(244\) 5.79733 0.371136
\(245\) 3.68567 + 1.85101i 0.235469 + 0.118257i
\(246\) −5.64544 13.3639i −0.359940 0.852050i
\(247\) 3.11200 + 4.18014i 0.198012 + 0.265976i
\(248\) 0.00262729 + 0.00877577i 0.000166833 + 0.000557262i
\(249\) −1.35000 + 20.5119i −0.0855527 + 1.29989i
\(250\) −2.57468 5.96878i −0.162837 0.377499i
\(251\) −2.28500 12.9589i −0.144228 0.817957i −0.967984 0.251013i \(-0.919236\pi\)
0.823756 0.566945i \(-0.191875\pi\)
\(252\) −0.796310 2.81367i −0.0501628 0.177244i
\(253\) −2.18484 + 12.3908i −0.137360 + 0.779006i
\(254\) 16.3087 3.86524i 1.02330 0.242526i
\(255\) −0.165707 + 0.282078i −0.0103770 + 0.0176644i
\(256\) −0.835488 0.549509i −0.0522180 0.0343443i
\(257\) 1.35881 23.3300i 0.0847606 1.45528i −0.641109 0.767450i \(-0.721525\pi\)
0.725869 0.687833i \(-0.241438\pi\)
\(258\) −15.9764 + 13.2017i −0.994649 + 0.821905i
\(259\) 1.64952 5.50978i 0.102496 0.342361i
\(260\) −3.19846 + 1.16414i −0.198360 + 0.0721972i
\(261\) −3.69531 3.19695i −0.228734 0.197886i
\(262\) 16.8931 + 6.14860i 1.04366 + 0.379862i
\(263\) 3.51810 4.72563i 0.216935 0.291395i −0.680312 0.732922i \(-0.738156\pi\)
0.897248 + 0.441527i \(0.145563\pi\)
\(264\) −3.12375 + 3.26134i −0.192253 + 0.200722i
\(265\) 2.09750 + 0.497118i 0.128849 + 0.0305377i
\(266\) 0.402966 0.934179i 0.0247074 0.0572782i
\(267\) −12.1615 + 7.86795i −0.744270 + 0.481511i
\(268\) −10.7373 + 7.06204i −0.655886 + 0.431383i
\(269\) 8.42808 + 14.5979i 0.513869 + 0.890048i 0.999871 + 0.0160897i \(0.00512174\pi\)
−0.486001 + 0.873958i \(0.661545\pi\)
\(270\) −1.84013 + 3.02689i −0.111987 + 0.184211i
\(271\) 11.1983 19.3960i 0.680248 1.17822i −0.294657 0.955603i \(-0.595205\pi\)
0.974905 0.222622i \(-0.0714614\pi\)
\(272\) 0.0161097 + 0.276594i 0.000976797 + 0.0167710i
\(273\) −8.21650 + 1.88200i −0.497285 + 0.113904i
\(274\) −7.61122 + 0.889624i −0.459811 + 0.0537441i
\(275\) −8.11466 + 8.60104i −0.489333 + 0.518662i
\(276\) 4.94052 + 6.74185i 0.297384 + 0.405811i
\(277\) 30.6082 + 3.57759i 1.83907 + 0.214956i 0.963421 0.267993i \(-0.0863603\pi\)
0.875648 + 0.482949i \(0.160434\pi\)
\(278\) 5.75326 4.82756i 0.345058 0.289538i
\(279\) 0.0167417 0.0217937i 0.00100230 0.00130476i
\(280\) 0.509032 + 0.427128i 0.0304205 + 0.0255258i
\(281\) −7.84237 8.31243i −0.467837 0.495878i 0.449894 0.893082i \(-0.351462\pi\)
−0.917730 + 0.397204i \(0.869980\pi\)
\(282\) −2.89724 + 15.7361i −0.172528 + 0.937068i
\(283\) −4.73586 + 2.37844i −0.281518 + 0.141384i −0.583956 0.811786i \(-0.698496\pi\)
0.302438 + 0.953169i \(0.402200\pi\)
\(284\) −2.29195 + 1.15106i −0.136002 + 0.0683029i
\(285\) −1.16128 + 0.412777i −0.0687881 + 0.0244508i
\(286\) 8.93339 + 9.46884i 0.528242 + 0.559904i
\(287\) 6.25411 + 5.24782i 0.369168 + 0.309769i
\(288\) 0.129235 + 2.99722i 0.00761527 + 0.176613i
\(289\) −12.9640 + 10.8780i −0.762585 + 0.639885i
\(290\) 1.10286 + 0.128906i 0.0647620 + 0.00756959i
\(291\) 27.2940 2.98171i 1.60000 0.174791i
\(292\) −1.14427 + 1.21286i −0.0669634 + 0.0709770i
\(293\) −31.3742 + 3.66712i −1.83290 + 0.214235i −0.961210 0.275818i \(-0.911051\pi\)
−0.871692 + 0.490054i \(0.836977\pi\)
\(294\) −7.13326 7.67599i −0.416020 0.447673i
\(295\) 0.538298 + 9.24222i 0.0313409 + 0.538103i
\(296\) −2.95026 + 5.11001i −0.171481 + 0.297013i
\(297\) 13.4173 + 1.87689i 0.778552 + 0.108908i
\(298\) −6.95259 12.0422i −0.402753 0.697588i
\(299\) 20.1300 13.2397i 1.16415 0.765674i
\(300\) 0.397580 + 7.84522i 0.0229543 + 0.452944i
\(301\) 4.61958 10.7094i 0.266268 0.617279i
\(302\) 9.19351 + 2.17890i 0.529027 + 0.125382i
\(303\) −24.4718 5.99523i −1.40587 0.344417i
\(304\) −0.623293 + 0.837228i −0.0357483 + 0.0480183i
\(305\) 3.71383 + 1.35172i 0.212653 + 0.0773994i
\(306\) 0.644714 0.524611i 0.0368558 0.0299900i
\(307\) 13.3693 4.86604i 0.763028 0.277720i 0.0689510 0.997620i \(-0.478035\pi\)
0.694077 + 0.719900i \(0.255813\pi\)
\(308\) 0.728884 2.43464i 0.0415320 0.138727i
\(309\) −2.29980 13.6438i −0.130831 0.776171i
\(310\) −0.000363114 0.00623443i −2.06235e−5 0.000354092i
\(311\) −0.716561 0.471289i −0.0406324 0.0267244i 0.529030 0.848603i \(-0.322556\pi\)
−0.569663 + 0.821879i \(0.692926\pi\)
\(312\) 8.64760 + 0.0652294i 0.489574 + 0.00369289i
\(313\) −15.3577 + 3.63984i −0.868069 + 0.205736i −0.640437 0.768011i \(-0.721247\pi\)
−0.227632 + 0.973747i \(0.573098\pi\)
\(314\) −2.44530 + 13.8680i −0.137996 + 0.782616i
\(315\) 0.145919 1.98813i 0.00822159 0.112019i
\(316\) −0.900049 5.10443i −0.0506317 0.287147i
\(317\) −7.60463 17.6295i −0.427119 0.990172i −0.986871 0.161512i \(-0.948363\pi\)
0.559752 0.828660i \(-0.310896\pi\)
\(318\) −4.55292 3.04395i −0.255315 0.170696i
\(319\) −1.21796 4.06828i −0.0681928 0.227780i
\(320\) −0.407097 0.546826i −0.0227574 0.0305685i
\(321\) 9.87606 13.0590i 0.551228 0.728884i
\(322\) −4.20339 2.11102i −0.234245 0.117643i
\(323\) 0.289188 0.0160908
\(324\) 7.06578 5.57447i 0.392543 0.309693i
\(325\) 22.6438 1.25605
\(326\) −20.2359 10.1629i −1.12076 0.562868i
\(327\) −7.64871 0.952541i −0.422975 0.0526756i
\(328\) −5.00171 6.71846i −0.276173 0.370965i
\(329\) −2.58250 8.62616i −0.142378 0.475576i
\(330\) −2.76153 + 1.36091i −0.152017 + 0.0749154i
\(331\) 5.27278 + 12.2237i 0.289818 + 0.671874i 0.999466 0.0326828i \(-0.0104051\pi\)
−0.709648 + 0.704557i \(0.751146\pi\)
\(332\) 2.06089 + 11.6879i 0.113106 + 0.641455i
\(333\) 17.6109 1.78957i 0.965071 0.0980676i
\(334\) −1.45573 + 8.25583i −0.0796538 + 0.451739i
\(335\) −8.52504 + 2.02047i −0.465773 + 0.110390i
\(336\) −0.833085 1.46842i −0.0454485 0.0801086i
\(337\) −11.5600 7.60315i −0.629715 0.414170i 0.194138 0.980974i \(-0.437809\pi\)
−0.823852 + 0.566804i \(0.808180\pi\)
\(338\) 0.693574 11.9082i 0.0377255 0.647721i
\(339\) −1.12801 0.420225i −0.0612651 0.0228235i
\(340\) −0.0541714 + 0.180945i −0.00293785 + 0.00981312i
\(341\) 0.0224441 0.00816898i 0.00121542 0.000442375i
\(342\) 3.13094 + 0.0472365i 0.169302 + 0.00255426i
\(343\) 11.9530 + 4.35053i 0.645400 + 0.234906i
\(344\) −7.14541 + 9.59795i −0.385255 + 0.517487i
\(345\) 1.59300 + 5.47084i 0.0857642 + 0.294540i
\(346\) 19.3671 + 4.59010i 1.04118 + 0.246765i
\(347\) 0.690508 1.60078i 0.0370684 0.0859343i −0.898676 0.438613i \(-0.855470\pi\)
0.935744 + 0.352679i \(0.114729\pi\)
\(348\) −2.51140 1.28509i −0.134625 0.0688879i
\(349\) −8.01784 + 5.27342i −0.429185 + 0.282280i −0.745667 0.666319i \(-0.767869\pi\)
0.316481 + 0.948599i \(0.397499\pi\)
\(350\) −2.21032 3.82838i −0.118146 0.204635i
\(351\) −15.0176 21.1551i −0.801579 1.12918i
\(352\) −1.30365 + 2.25799i −0.0694849 + 0.120351i
\(353\) 0.637958 + 10.9533i 0.0339551 + 0.582986i 0.971782 + 0.235882i \(0.0757979\pi\)
−0.937827 + 0.347104i \(0.887165\pi\)
\(354\) 6.91580 22.4818i 0.367571 1.19489i
\(355\) −1.73663 + 0.202983i −0.0921709 + 0.0107732i
\(356\) −5.73886 + 6.08283i −0.304159 + 0.322389i
\(357\) −0.188504 + 0.428093i −0.00997668 + 0.0226571i
\(358\) −16.7817 1.96150i −0.886940 0.103668i
\(359\) −8.44791 + 7.08864i −0.445864 + 0.374124i −0.837898 0.545827i \(-0.816216\pi\)
0.392035 + 0.919950i \(0.371771\pi\)
\(360\) −0.616050 + 1.95018i −0.0324687 + 0.102784i
\(361\) −13.7203 11.5127i −0.722120 0.605931i
\(362\) −16.9172 17.9312i −0.889149 0.942443i
\(363\) −5.53983 4.72013i −0.290766 0.247743i
\(364\) −4.34899 + 2.18415i −0.227949 + 0.114480i
\(365\) −1.01583 + 0.510167i −0.0531707 + 0.0267033i
\(366\) −7.64315 6.51224i −0.399514 0.340400i
\(367\) −11.6508 12.3492i −0.608169 0.644621i 0.347980 0.937502i \(-0.386868\pi\)
−0.956149 + 0.292881i \(0.905386\pi\)
\(368\) 3.69668 + 3.10188i 0.192703 + 0.161697i
\(369\) −7.56897 + 23.9605i −0.394025 + 1.24733i
\(370\) −3.08143 + 2.58563i −0.160196 + 0.134421i
\(371\) 3.06124 + 0.357808i 0.158932 + 0.0185765i
\(372\) 0.00639417 0.0145212i 0.000331522 0.000752888i
\(373\) 11.9333 12.6486i 0.617885 0.654919i −0.340552 0.940226i \(-0.610614\pi\)
0.958436 + 0.285306i \(0.0920953\pi\)
\(374\) 0.717502 0.0838639i 0.0371011 0.00433650i
\(375\) −3.31039 + 10.7614i −0.170948 + 0.555715i
\(376\) 0.537137 + 9.22229i 0.0277007 + 0.475603i
\(377\) −4.06607 + 7.04264i −0.209413 + 0.362714i
\(378\) −2.11079 + 4.60402i −0.108567 + 0.236805i
\(379\) −6.65132 11.5204i −0.341655 0.591764i 0.643085 0.765795i \(-0.277654\pi\)
−0.984740 + 0.174030i \(0.944321\pi\)
\(380\) −0.594499 + 0.391008i −0.0304971 + 0.0200583i
\(381\) −25.8432 13.2240i −1.32399 0.677484i
\(382\) −6.12715 + 14.2043i −0.313492 + 0.726756i
\(383\) −11.0324 2.61472i −0.563727 0.133606i −0.0611349 0.998130i \(-0.519472\pi\)
−0.502592 + 0.864524i \(0.667620\pi\)
\(384\) 0.484228 + 1.66299i 0.0247107 + 0.0848639i
\(385\) 1.03460 1.38971i 0.0527281 0.0708261i
\(386\) 12.8879 + 4.69081i 0.655977 + 0.238756i
\(387\) 35.8930 + 0.541517i 1.82454 + 0.0275269i
\(388\) 14.8960 5.42169i 0.756229 0.275245i
\(389\) 3.15997 10.5550i 0.160217 0.535162i −0.839753 0.542969i \(-0.817300\pi\)
0.999970 + 0.00780729i \(0.00248516\pi\)
\(390\) 5.52453 + 2.05809i 0.279745 + 0.104215i
\(391\) 0.0777403 1.33475i 0.00393150 0.0675012i
\(392\) −5.05462 3.32448i −0.255297 0.167912i
\(393\) −15.3650 27.0826i −0.775059 1.36614i
\(394\) 19.5317 4.62910i 0.983992 0.233210i
\(395\) 0.613585 3.47981i 0.0308728 0.175088i
\(396\) 7.78184 0.790768i 0.391052 0.0397376i
\(397\) −6.90621 39.1671i −0.346613 1.96574i −0.235066 0.971980i \(-0.575531\pi\)
−0.111547 0.993759i \(-0.535581\pi\)
\(398\) 3.49305 + 8.09780i 0.175091 + 0.405906i
\(399\) −1.58065 + 0.778957i −0.0791313 + 0.0389966i
\(400\) 1.30073 + 4.34473i 0.0650363 + 0.217236i
\(401\) 5.35717 + 7.19593i 0.267524 + 0.359348i 0.915503 0.402311i \(-0.131793\pi\)
−0.647979 + 0.761658i \(0.724385\pi\)
\(402\) 22.0889 + 2.75087i 1.10169 + 0.137201i
\(403\) −0.0408724 0.0205269i −0.00203600 0.00102252i
\(404\) −14.5466 −0.723720
\(405\) 5.82617 1.92358i 0.289505 0.0955837i
\(406\) 1.58760 0.0787911
\(407\) 13.7481 + 6.90454i 0.681467 + 0.342245i
\(408\) 0.289463 0.382755i 0.0143306 0.0189492i
\(409\) 2.31810 + 3.11375i 0.114623 + 0.153965i 0.855732 0.517419i \(-0.173107\pi\)
−0.741109 + 0.671385i \(0.765700\pi\)
\(410\) −1.63765 5.47013i −0.0808777 0.270150i
\(411\) 11.0339 + 7.37694i 0.544262 + 0.363878i
\(412\) −3.16404 7.33508i −0.155881 0.361373i
\(413\) 2.29856 + 13.0358i 0.113105 + 0.641450i
\(414\) 1.05969 14.4382i 0.0520808 0.709597i
\(415\) −1.40496 + 7.96790i −0.0689665 + 0.391129i
\(416\) 4.85825 1.15143i 0.238195 0.0564533i
\(417\) −13.0079 0.0981198i −0.637001 0.00480495i
\(418\) 2.27371 + 1.49544i 0.111211 + 0.0731444i
\(419\) −0.356253 + 6.11664i −0.0174041 + 0.298817i 0.978362 + 0.206899i \(0.0663370\pi\)
−0.995767 + 0.0919186i \(0.970700\pi\)
\(420\) −0.191303 1.13493i −0.00933463 0.0553788i
\(421\) −9.41492 + 31.4480i −0.458855 + 1.53268i 0.345433 + 0.938443i \(0.387732\pi\)
−0.804288 + 0.594239i \(0.797453\pi\)
\(422\) −0.298531 + 0.108656i −0.0145323 + 0.00528931i
\(423\) 21.4963 17.4918i 1.04518 0.850479i
\(424\) −2.97131 1.08147i −0.144299 0.0525207i
\(425\) 0.750358 1.00791i 0.0363977 0.0488906i
\(426\) 4.31470 + 1.05704i 0.209048 + 0.0512137i
\(427\) 5.49849 + 1.30317i 0.266091 + 0.0630646i
\(428\) 3.74412 8.67985i 0.180979 0.419557i
\(429\) −1.14120 22.5187i −0.0550977 1.08721i
\(430\) −6.81531 + 4.48250i −0.328663 + 0.216165i
\(431\) 14.0661 + 24.3632i 0.677539 + 1.17353i 0.975720 + 0.219023i \(0.0702869\pi\)
−0.298181 + 0.954509i \(0.596380\pi\)
\(432\) 3.19644 4.09668i 0.153789 0.197102i
\(433\) 0.0327624 0.0567461i 0.00157446 0.00272704i −0.865237 0.501363i \(-0.832832\pi\)
0.866812 + 0.498636i \(0.166166\pi\)
\(434\) 0.000519180 0.00891398i 2.49214e−5 0.000427885i
\(435\) −1.30920 1.40881i −0.0627712 0.0675471i
\(436\) −4.42001 + 0.516625i −0.211680 + 0.0247419i
\(437\) 3.45651 3.66368i 0.165347 0.175258i
\(438\) 2.87102 0.313641i 0.137183 0.0149864i
\(439\) −26.2057 3.06301i −1.25073 0.146190i −0.535173 0.844742i \(-0.679754\pi\)
−0.715558 + 0.698553i \(0.753828\pi\)
\(440\) −1.36161 + 1.14253i −0.0649124 + 0.0544680i
\(441\) 0.781862 + 18.1329i 0.0372315 + 0.863470i
\(442\) −1.05969 0.889185i −0.0504043 0.0422942i
\(443\) 20.9284 + 22.1828i 0.994340 + 1.05394i 0.998544 + 0.0539475i \(0.0171804\pi\)
−0.00420393 + 0.999991i \(0.501338\pi\)
\(444\) 9.62976 3.42291i 0.457008 0.162444i
\(445\) −5.09466 + 2.55864i −0.241510 + 0.121291i
\(446\) 8.81243 4.42577i 0.417281 0.209566i
\(447\) −4.36101 + 23.6864i −0.206269 + 1.12033i
\(448\) −0.668898 0.708990i −0.0316024 0.0334966i
\(449\) 22.6326 + 18.9910i 1.06810 + 0.896241i 0.994879 0.101074i \(-0.0322280\pi\)
0.0732200 + 0.997316i \(0.476672\pi\)
\(450\) 8.28851 10.7897i 0.390724 0.508631i
\(451\) −16.7292 + 14.0374i −0.787746 + 0.660998i
\(452\) −0.690282 0.0806824i −0.0324681 0.00379498i
\(453\) −9.67306 13.1999i −0.454480 0.620185i
\(454\) −11.1878 + 11.8583i −0.525068 + 0.556539i
\(455\) −3.29527 + 0.385162i −0.154485 + 0.0180567i
\(456\) 1.76222 0.403639i 0.0825234 0.0189021i
\(457\) −0.0172113 0.295507i −0.000805111 0.0138232i 0.997882 0.0650550i \(-0.0207223\pi\)
−0.998687 + 0.0512318i \(0.983685\pi\)
\(458\) 3.10725 5.38191i 0.145192 0.251480i
\(459\) −1.43929 0.0325749i −0.0671803 0.00152047i
\(460\) 1.64489 + 2.84903i 0.0766932 + 0.132836i
\(461\) −23.5098 + 15.4627i −1.09496 + 0.720168i −0.962571 0.271030i \(-0.912636\pi\)
−0.132391 + 0.991198i \(0.542265\pi\)
\(462\) −3.69583 + 2.39105i −0.171946 + 0.111242i
\(463\) −11.5483 + 26.7720i −0.536696 + 1.24420i 0.407012 + 0.913423i \(0.366571\pi\)
−0.943708 + 0.330779i \(0.892689\pi\)
\(464\) −1.58486 0.375618i −0.0735752 0.0174376i
\(465\) 0.00748198 0.00781154i 0.000346968 0.000362251i
\(466\) 4.20017 5.64181i 0.194569 0.261352i
\(467\) −24.2175 8.81443i −1.12065 0.407883i −0.285761 0.958301i \(-0.592246\pi\)
−0.834889 + 0.550418i \(0.814469\pi\)
\(468\) −11.3277 9.79999i −0.523621 0.453005i
\(469\) −11.7713 + 4.28440i −0.543548 + 0.197835i
\(470\) −1.80620 + 6.03313i −0.0833139 + 0.278288i
\(471\) 18.8020 15.5366i 0.866351 0.715889i
\(472\) 0.789613 13.5571i 0.0363449 0.624018i
\(473\) 26.0657 + 17.1437i 1.19850 + 0.788267i
\(474\) −4.54728 + 7.74069i −0.208864 + 0.355542i
\(475\) 4.60614 1.09168i 0.211344 0.0500895i
\(476\) −0.0468954 + 0.265957i −0.00214945 + 0.0121901i
\(477\) 2.58322 + 9.12750i 0.118277 + 0.417919i
\(478\) 0.634345 + 3.59755i 0.0290143 + 0.164548i
\(479\) 5.15165 + 11.9429i 0.235385 + 0.545683i 0.994435 0.105348i \(-0.0335958\pi\)
−0.759051 + 0.651032i \(0.774337\pi\)
\(480\) −0.0775456 + 1.17823i −0.00353946 + 0.0537786i
\(481\) −8.44932 28.2227i −0.385256 1.28684i
\(482\) 1.06051 + 1.42452i 0.0483050 + 0.0648849i
\(483\) 3.17037 + 7.50489i 0.144257 + 0.341484i
\(484\) −3.75501 1.88584i −0.170682 0.0857198i
\(485\) 10.8067 0.490705
\(486\) −15.5774 0.587774i −0.706604 0.0266620i
\(487\) 16.2711 0.737314 0.368657 0.929566i \(-0.379818\pi\)
0.368657 + 0.929566i \(0.379818\pi\)
\(488\) −5.18068 2.60184i −0.234518 0.117780i
\(489\) 15.2628 + 36.1300i 0.690206 + 1.63385i
\(490\) −2.46290 3.30825i −0.111262 0.149451i
\(491\) 8.17641 + 27.3111i 0.368996 + 1.23253i 0.917955 + 0.396684i \(0.129839\pi\)
−0.548959 + 0.835849i \(0.684976\pi\)
\(492\) −0.952748 + 14.4761i −0.0429532 + 0.652632i
\(493\) 0.178738 + 0.414362i 0.00804997 + 0.0186619i
\(494\) −0.904940 5.13217i −0.0407152 0.230907i
\(495\) 5.16951 + 1.30786i 0.232352 + 0.0587841i
\(496\) 0.00159072 0.00902144i 7.14256e−5 0.000405075i
\(497\) −2.43255 + 0.576525i −0.109115 + 0.0258607i
\(498\) 10.4121 17.7242i 0.466579 0.794242i
\(499\) −2.61866 1.72232i −0.117227 0.0771017i 0.489541 0.871980i \(-0.337164\pi\)
−0.606769 + 0.794878i \(0.707535\pi\)
\(500\) −0.377965 + 6.48941i −0.0169031 + 0.290215i
\(501\) 11.1931 9.24919i 0.500073 0.413223i
\(502\) −3.77398 + 12.6060i −0.168441 + 0.562633i
\(503\) 13.0619 4.75415i 0.582403 0.211977i −0.0339819 0.999422i \(-0.510819\pi\)
0.616385 + 0.787445i \(0.288597\pi\)
\(504\) −0.551162 + 2.87177i −0.0245507 + 0.127919i
\(505\) −9.31870 3.39173i −0.414677 0.150930i
\(506\) 7.51345 10.0923i 0.334013 0.448658i
\(507\) −14.2911 + 14.9206i −0.634690 + 0.662646i
\(508\) −16.3087 3.86524i −0.723582 0.171492i
\(509\) −0.811521 + 1.88132i −0.0359700 + 0.0833879i −0.935254 0.353977i \(-0.884829\pi\)
0.899284 + 0.437365i \(0.144088\pi\)
\(510\) 0.274678 0.177705i 0.0121629 0.00786890i
\(511\) −1.35792 + 0.893119i −0.0600709 + 0.0395093i
\(512\) 0.500000 + 0.866025i 0.0220971 + 0.0382733i
\(513\) −4.07474 3.57931i −0.179904 0.158031i
\(514\) −11.6847 + 20.2386i −0.515392 + 0.892685i
\(515\) −0.316650 5.43666i −0.0139532 0.239568i
\(516\) 20.2020 4.62730i 0.889343 0.203706i
\(517\) 23.9232 2.79622i 1.05214 0.122978i
\(518\) −3.94685 + 4.18342i −0.173415 + 0.183809i
\(519\) −20.3774 27.8070i −0.894467 1.22059i
\(520\) 3.38072 + 0.395149i 0.148254 + 0.0173284i
\(521\) 16.3308 13.7032i 0.715467 0.600348i −0.210660 0.977559i \(-0.567561\pi\)
0.926127 + 0.377211i \(0.123117\pi\)
\(522\) 1.86746 + 4.51535i 0.0817363 + 0.197632i
\(523\) 4.87547 + 4.09101i 0.213190 + 0.178887i 0.743129 0.669148i \(-0.233341\pi\)
−0.529939 + 0.848036i \(0.677785\pi\)
\(524\) −12.3368 13.0762i −0.538934 0.571237i
\(525\) −1.38642 + 7.53019i −0.0605083 + 0.328644i
\(526\) −5.26475 + 2.64406i −0.229554 + 0.115286i
\(527\) −0.00226809 + 0.00113908i −9.87997e−5 + 4.96191e-5i
\(528\) 4.25517 1.51251i 0.185182 0.0658233i
\(529\) −0.197004 0.208812i −0.00856540 0.00907879i
\(530\) −1.65129 1.38560i −0.0717276 0.0601866i
\(531\) −34.3719 + 21.8712i −1.49161 + 0.949128i
\(532\) −0.779362 + 0.653962i −0.0337896 + 0.0283529i
\(533\) 41.5364 + 4.85491i 1.79914 + 0.210290i
\(534\) 14.3990 1.57300i 0.623106 0.0680705i
\(535\) 4.42235 4.68741i 0.191195 0.202655i
\(536\) 12.7647 1.49197i 0.551349 0.0644435i
\(537\) 19.9215 + 21.4372i 0.859675 + 0.925083i
\(538\) −0.980099 16.8277i −0.0422551 0.725492i
\(539\) −7.88698 + 13.6607i −0.339716 + 0.588406i
\(540\) 3.00287 1.87908i 0.129223 0.0808628i
\(541\) 2.99347 + 5.18483i 0.128699 + 0.222913i 0.923173 0.384385i \(-0.125587\pi\)
−0.794474 + 0.607299i \(0.792253\pi\)
\(542\) −18.7121 + 12.3071i −0.803753 + 0.528637i
\(543\) 2.16110 + 42.6438i 0.0927418 + 1.83002i
\(544\) 0.109739 0.254403i 0.00470501 0.0109074i
\(545\) −2.95196 0.699628i −0.126448 0.0299688i
\(546\) 8.18717 + 2.00574i 0.350379 + 0.0858376i
\(547\) 3.01067 4.04404i 0.128727 0.172911i −0.733087 0.680135i \(-0.761921\pi\)
0.861814 + 0.507225i \(0.169329\pi\)
\(548\) 7.20090 + 2.62091i 0.307607 + 0.111960i
\(549\) 2.76137 + 17.1714i 0.117852 + 0.732856i
\(550\) 11.1117 4.04432i 0.473803 0.172450i
\(551\) −0.487578 + 1.62862i −0.0207715 + 0.0693818i
\(552\) −1.38928 8.24204i −0.0591315 0.350804i
\(553\) 0.293758 5.04363i 0.0124919 0.214477i
\(554\) −25.7469 16.9340i −1.09388 0.719456i
\(555\) 6.96702 + 0.0525527i 0.295734 + 0.00223074i
\(556\) −7.30791 + 1.73201i −0.309924 + 0.0734534i
\(557\) 4.92319 27.9208i 0.208602 1.18304i −0.683067 0.730355i \(-0.739354\pi\)
0.891670 0.452687i \(-0.149534\pi\)
\(558\) −0.0247419 + 0.0119619i −0.00104741 + 0.000506389i
\(559\) −10.3742 58.8350i −0.438782 2.48846i
\(560\) −0.263192 0.610149i −0.0111219 0.0257835i
\(561\) −1.04015 0.695417i −0.0439154 0.0293605i
\(562\) 3.27759 + 10.9479i 0.138257 + 0.461809i
\(563\) 22.8192 + 30.6514i 0.961713 + 1.29180i 0.956474 + 0.291818i \(0.0942603\pi\)
0.00523909 + 0.999986i \(0.498332\pi\)
\(564\) 9.65140 12.7620i 0.406397 0.537376i
\(565\) −0.423390 0.212634i −0.0178121 0.00894559i
\(566\) 5.29956 0.222757
\(567\) 7.95463 3.69882i 0.334063 0.155336i
\(568\) 2.56476 0.107615
\(569\) 3.30279 + 1.65872i 0.138460 + 0.0695373i 0.516680 0.856178i \(-0.327168\pi\)
−0.378220 + 0.925716i \(0.623464\pi\)
\(570\) 1.22301 + 0.152309i 0.0512262 + 0.00637951i
\(571\) −11.9989 16.1173i −0.502137 0.674487i 0.476715 0.879058i \(-0.341827\pi\)
−0.978852 + 0.204571i \(0.934420\pi\)
\(572\) −3.73356 12.4710i −0.156108 0.521437i
\(573\) 24.0339 11.8441i 1.00403 0.494796i
\(574\) −3.23366 7.49646i −0.134970 0.312896i
\(575\) −3.80040 21.5531i −0.158488 0.898828i
\(576\) 1.22966 2.73641i 0.0512358 0.114017i
\(577\) −4.54140 + 25.7556i −0.189061 + 1.07222i 0.731565 + 0.681772i \(0.238790\pi\)
−0.920626 + 0.390446i \(0.872321\pi\)
\(578\) 16.4671 3.90277i 0.684940 0.162334i
\(579\) −11.7220 20.6615i −0.487151 0.858664i
\(580\) −0.927697 0.610156i −0.0385205 0.0253353i
\(581\) −0.672632 + 11.5487i −0.0279055 + 0.479119i
\(582\) −25.7290 9.58499i −1.06650 0.397311i
\(583\) −2.36449 + 7.89795i −0.0979273 + 0.327100i
\(584\) 1.56689 0.570300i 0.0648382 0.0235992i
\(585\) −4.97161 8.91917i −0.205551 0.368762i
\(586\) 29.6828 + 10.8037i 1.22619 + 0.446295i
\(587\) −10.4529 + 14.0407i −0.431439 + 0.579523i −0.963677 0.267072i \(-0.913944\pi\)
0.532238 + 0.846595i \(0.321351\pi\)
\(588\) 2.92953 + 10.0609i 0.120812 + 0.414905i
\(589\) −0.00930379 0.00220504i −0.000383356 9.08570e-5i
\(590\) 3.66686 8.50073i 0.150962 0.349970i
\(591\) −30.9504 15.8373i −1.27313 0.651460i
\(592\) 4.92982 3.24239i 0.202614 0.133262i
\(593\) −13.7463 23.8092i −0.564491 0.977728i −0.997097 0.0761445i \(-0.975739\pi\)
0.432605 0.901583i \(-0.357594\pi\)
\(594\) −11.1478 7.69894i −0.457400 0.315891i
\(595\) −0.0920531 + 0.159441i −0.00377381 + 0.00653643i
\(596\) 0.808514 + 13.8817i 0.0331180 + 0.568615i
\(597\) 4.49119 14.5999i 0.183812 0.597534i
\(598\) −23.9308 + 2.79711i −0.978605 + 0.114383i
\(599\) 0.159947 0.169534i 0.00653525 0.00692696i −0.724098 0.689697i \(-0.757744\pi\)
0.730633 + 0.682770i \(0.239225\pi\)
\(600\) 3.16564 7.18918i 0.129237 0.293497i
\(601\) 12.0045 + 1.40313i 0.489675 + 0.0572348i 0.357348 0.933971i \(-0.383681\pi\)
0.132327 + 0.991206i \(0.457755\pi\)
\(602\) −8.93458 + 7.49700i −0.364146 + 0.305555i
\(603\) −26.0317 28.4396i −1.06009 1.15815i
\(604\) −7.23773 6.07318i −0.294499 0.247114i
\(605\) −1.96579 2.08361i −0.0799207 0.0847110i
\(606\) 19.1781 + 16.3404i 0.779058 + 0.663785i
\(607\) 23.4296 11.7668i 0.950978 0.477599i 0.0954949 0.995430i \(-0.469557\pi\)
0.855483 + 0.517831i \(0.173260\pi\)
\(608\) 0.932742 0.468441i 0.0378277 0.0189978i
\(609\) −2.09308 1.78338i −0.0848157 0.0722660i
\(610\) −2.71215 2.87471i −0.109812 0.116393i
\(611\) −35.3326 29.6475i −1.42940 1.19941i
\(612\) −0.811582 + 0.179462i −0.0328063 + 0.00725434i
\(613\) −29.4042 + 24.6730i −1.18762 + 0.996535i −0.187726 + 0.982221i \(0.560112\pi\)
−0.999898 + 0.0143131i \(0.995444\pi\)
\(614\) −14.1312 1.65169i −0.570287 0.0666570i
\(615\) −3.98563 + 9.05138i −0.160716 + 0.364987i
\(616\) −1.74402 + 1.84855i −0.0702686 + 0.0744804i
\(617\) −2.77897 + 0.324815i −0.111877 + 0.0130765i −0.171847 0.985124i \(-0.554974\pi\)
0.0599702 + 0.998200i \(0.480899\pi\)
\(618\) −4.06817 + 13.2247i −0.163646 + 0.531977i
\(619\) −1.63200 28.0204i −0.0655957 1.12624i −0.857127 0.515106i \(-0.827753\pi\)
0.791531 0.611129i \(-0.209284\pi\)
\(620\) 0.00312250 0.00540833i 0.000125403 0.000217204i
\(621\) −17.6157 + 17.8448i −0.706895 + 0.716087i
\(622\) 0.428828 + 0.742751i 0.0171944 + 0.0297816i
\(623\) −6.81038 + 4.47925i −0.272852 + 0.179458i
\(624\) −7.69850 3.93932i −0.308187 0.157699i
\(625\) 7.22639 16.7527i 0.289056 0.670106i
\(626\) 15.3577 + 3.63984i 0.613818 + 0.145477i
\(627\) −1.31778 4.52567i −0.0526272 0.180738i
\(628\) 8.40914 11.2954i 0.335561 0.450737i
\(629\) −1.53622 0.559139i −0.0612532 0.0222943i
\(630\) −1.02267 + 1.71117i −0.0407442 + 0.0681747i
\(631\) 11.4241 4.15805i 0.454788 0.165529i −0.104461 0.994529i \(-0.533312\pi\)
0.559249 + 0.829000i \(0.311090\pi\)
\(632\) −1.48655 + 4.96543i −0.0591319 + 0.197514i
\(633\) 0.515637 + 0.192093i 0.0204947 + 0.00763502i
\(634\) −1.11637 + 19.1673i −0.0443366 + 0.761229i
\(635\) −9.54630 6.27870i −0.378833 0.249163i
\(636\) 2.70252 + 4.76352i 0.107162 + 0.188886i
\(637\) 29.3920 6.96603i 1.16455 0.276004i
\(638\) −0.737428 + 4.18216i −0.0291951 + 0.165573i
\(639\) −4.50108 6.24036i −0.178060 0.246865i
\(640\) 0.118380 + 0.671366i 0.00467938 + 0.0265381i
\(641\) −16.2590 37.6927i −0.642194 1.48877i −0.858693 0.512490i \(-0.828723\pi\)
0.216500 0.976283i \(-0.430536\pi\)
\(642\) −14.6865 + 7.23762i −0.579628 + 0.285646i
\(643\) 9.89673 + 33.0574i 0.390289 + 1.30366i 0.897187 + 0.441650i \(0.145607\pi\)
−0.506898 + 0.862006i \(0.669208\pi\)
\(644\) 2.80886 + 3.77295i 0.110685 + 0.148675i
\(645\) 14.0205 + 1.74606i 0.552058 + 0.0687511i
\(646\) −0.258428 0.129787i −0.0101677 0.00510641i
\(647\) −37.4511 −1.47236 −0.736178 0.676788i \(-0.763371\pi\)
−0.736178 + 0.676788i \(0.763371\pi\)
\(648\) −8.81603 + 1.81041i −0.346326 + 0.0711197i
\(649\) −35.4075 −1.38987
\(650\) −20.2352 10.1625i −0.793690 0.398606i
\(651\) 0.00932874 0.0123353i 0.000365622 0.000483460i
\(652\) 13.5224 + 18.1637i 0.529578 + 0.711346i
\(653\) −12.3198 41.1511i −0.482112 1.61037i −0.760116 0.649787i \(-0.774858\pi\)
0.278004 0.960580i \(-0.410327\pi\)
\(654\) 6.40764 + 4.28396i 0.250559 + 0.167516i
\(655\) −4.85417 11.2532i −0.189668 0.439700i
\(656\) 1.45445 + 8.24860i 0.0567868 + 0.322054i
\(657\) −4.13745 2.81156i −0.161417 0.109690i
\(658\) −1.56360 + 8.86764i −0.0609557 + 0.345697i
\(659\) 18.1944 4.31214i 0.708752 0.167977i 0.139598 0.990208i \(-0.455419\pi\)
0.569154 + 0.822231i \(0.307271\pi\)
\(660\) 3.07857 + 0.0232218i 0.119833 + 0.000903909i
\(661\) −16.6117 10.9257i −0.646121 0.424961i 0.183706 0.982981i \(-0.441191\pi\)
−0.829827 + 0.558021i \(0.811561\pi\)
\(662\) 0.774048 13.2899i 0.0300842 0.516526i
\(663\) 0.398250 + 2.36266i 0.0154667 + 0.0917582i
\(664\) 3.40383 11.3696i 0.132094 0.441226i
\(665\) −0.651747 + 0.237217i −0.0252737 + 0.00919887i
\(666\) −16.5408 6.30454i −0.640944 0.244296i
\(667\) 7.38586 + 2.68823i 0.285982 + 0.104089i
\(668\) 5.00610 6.72435i 0.193692 0.260173i
\(669\) −16.5898 4.06426i −0.641398 0.157133i
\(670\) 8.52504 + 2.02047i 0.329351 + 0.0780576i
\(671\) −5.98691 + 13.8792i −0.231122 + 0.535801i
\(672\) 0.0854488 + 1.68611i 0.00329626 + 0.0650432i
\(673\) 16.3598 10.7600i 0.630622 0.414767i −0.193562 0.981088i \(-0.562004\pi\)
0.824185 + 0.566321i \(0.191634\pi\)
\(674\) 6.91813 + 11.9826i 0.266477 + 0.461551i
\(675\) −23.0477 + 4.91442i −0.887108 + 0.189156i
\(676\) −5.96419 + 10.3303i −0.229392 + 0.397319i
\(677\) 1.11217 + 19.0953i 0.0427443 + 0.733891i 0.949796 + 0.312871i \(0.101291\pi\)
−0.907051 + 0.421020i \(0.861672\pi\)
\(678\) 0.819431 + 0.881777i 0.0314700 + 0.0338644i
\(679\) 15.3469 1.79379i 0.588958 0.0688394i
\(680\) 0.129617 0.137386i 0.00497059 0.00526852i
\(681\) 28.0705 3.06653i 1.07567 0.117510i
\(682\) −0.0237230 0.00277282i −0.000908401 0.000106177i
\(683\) 15.2990 12.8374i 0.585399 0.491208i −0.301316 0.953524i \(-0.597426\pi\)
0.886715 + 0.462316i \(0.152981\pi\)
\(684\) −2.77671 1.44737i −0.106170 0.0553417i
\(685\) 4.00187 + 3.35797i 0.152904 + 0.128301i
\(686\) −8.72905 9.25226i −0.333277 0.353253i
\(687\) −10.1422 + 3.60505i −0.386948 + 0.137541i
\(688\) 10.6929 5.37019i 0.407664 0.204736i
\(689\) 14.1081 7.08535i 0.537475 0.269930i
\(690\) 1.03175 5.60386i 0.0392782 0.213335i
\(691\) 4.83484 + 5.12463i 0.183926 + 0.194950i 0.812776 0.582577i \(-0.197955\pi\)
−0.628850 + 0.777527i \(0.716474\pi\)
\(692\) −15.2471 12.7938i −0.579607 0.486348i
\(693\) 7.55846 + 0.999254i 0.287122 + 0.0379585i
\(694\) −1.33549 + 1.12061i −0.0506945 + 0.0425377i
\(695\) −5.08536 0.594394i −0.192899 0.0225466i
\(696\) 1.66753 + 2.27551i 0.0632074 + 0.0862530i
\(697\) 1.59251 1.68797i 0.0603208 0.0639363i
\(698\) 9.53171 1.11410i 0.360781 0.0421692i
\(699\) −11.8750 + 2.71999i −0.449154 + 0.102880i
\(700\) 0.257037 + 4.41315i 0.00971508 + 0.166801i
\(701\) −9.39432 + 16.2714i −0.354818 + 0.614563i −0.987087 0.160186i \(-0.948791\pi\)
0.632268 + 0.774749i \(0.282124\pi\)
\(702\) 3.92579 + 25.6448i 0.148169 + 0.967900i
\(703\) −3.07938 5.33364i −0.116141 0.201162i
\(704\) 2.17837 1.43274i 0.0821005 0.0539983i
\(705\) 9.15841 5.92510i 0.344926 0.223152i
\(706\) 4.34574 10.0746i 0.163554 0.379161i
\(707\) −13.7968 3.26989i −0.518880 0.122977i
\(708\) −16.2700 + 16.9866i −0.611463 + 0.638397i
\(709\) 15.6720 21.0512i 0.588574 0.790593i −0.403669 0.914905i \(-0.632265\pi\)
0.992243 + 0.124313i \(0.0396726\pi\)
\(710\) 1.64301 + 0.598007i 0.0616611 + 0.0224428i
\(711\) 14.6903 5.09723i 0.550931 0.191161i
\(712\) 7.85840 2.86022i 0.294506 0.107191i
\(713\) −0.0126784 + 0.0423489i −0.000474811 + 0.00158598i
\(714\) 0.360581 0.297957i 0.0134944 0.0111508i
\(715\) 0.516010 8.85955i 0.0192977 0.331329i
\(716\) 14.1163 + 9.28447i 0.527553 + 0.346977i
\(717\) 3.20487 5.45555i 0.119688 0.203741i
\(718\) 10.7307 2.54322i 0.400466 0.0949122i
\(719\) 4.61192 26.1555i 0.171996 0.975436i −0.769559 0.638576i \(-0.779524\pi\)
0.941555 0.336860i \(-0.109365\pi\)
\(720\) 1.42576 1.46626i 0.0531350 0.0546443i
\(721\) −1.35211 7.66821i −0.0503553 0.285579i
\(722\) 7.09401 + 16.4458i 0.264012 + 0.612048i
\(723\) 0.202011 3.06936i 0.00751288 0.114151i
\(724\) 7.07027 + 23.6163i 0.262764 + 0.877694i
\(725\) 4.41112 + 5.92516i 0.163825 + 0.220055i
\(726\) 2.83218 + 6.70433i 0.105112 + 0.248821i
\(727\) 33.4417 + 16.7951i 1.24028 + 0.622894i 0.943285 0.331983i \(-0.107718\pi\)
0.296999 + 0.954878i \(0.404014\pi\)
\(728\) 4.86665 0.180370
\(729\) 19.8768 + 18.2732i 0.736179 + 0.676787i
\(730\) 1.13674 0.0420725
\(731\) −2.96261 1.48788i −0.109576 0.0550311i
\(732\) 3.90748 + 9.24979i 0.144425 + 0.341882i
\(733\) 28.2887 + 37.9983i 1.04487 + 1.40350i 0.910954 + 0.412507i \(0.135347\pi\)
0.133913 + 0.990993i \(0.457246\pi\)
\(734\) 4.86927 + 16.2645i 0.179728 + 0.600334i
\(735\) −0.469144 + 7.12819i −0.0173046 + 0.262927i
\(736\) −1.91135 4.43101i −0.0704533 0.163329i
\(737\) −5.81859 32.9989i −0.214330 1.21553i
\(738\) 17.5173 18.0149i 0.644821 0.663138i
\(739\) −7.64685 + 43.3675i −0.281294 + 1.59530i 0.436936 + 0.899492i \(0.356063\pi\)
−0.718230 + 0.695805i \(0.755048\pi\)
\(740\) 3.91410 0.927658i 0.143885 0.0341014i
\(741\) −4.57199 + 7.78275i −0.167956 + 0.285907i
\(742\) −2.57504 1.69363i −0.0945328 0.0621752i
\(743\) −0.933379 + 16.0255i −0.0342423 + 0.587918i 0.936927 + 0.349526i \(0.113657\pi\)
−0.971169 + 0.238392i \(0.923380\pi\)
\(744\) −0.0122311 + 0.0101069i −0.000448415 + 0.000370537i
\(745\) −2.71875 + 9.08125i −0.0996072 + 0.332711i
\(746\) −16.3407 + 5.94753i −0.598275 + 0.217754i
\(747\) −33.6372 + 11.6714i −1.23072 + 0.427033i
\(748\) −0.678821 0.247071i −0.0248202 0.00903380i
\(749\) 5.50224 7.39080i 0.201048 0.270054i
\(750\) 7.78797 8.13101i 0.284376 0.296903i
\(751\) 34.4012 + 8.15324i 1.25532 + 0.297516i 0.803883 0.594787i \(-0.202764\pi\)
0.451436 + 0.892304i \(0.350912\pi\)
\(752\) 3.65895 8.48240i 0.133428 0.309321i
\(753\) 19.1361 12.3803i 0.697359 0.451162i
\(754\) 6.79430 4.46868i 0.247434 0.162740i
\(755\) −3.22053 5.57811i −0.117207 0.203008i
\(756\) 3.95255 3.16698i 0.143753 0.115182i
\(757\) −25.8210 + 44.7233i −0.938480 + 1.62549i −0.170171 + 0.985414i \(0.554432\pi\)
−0.768308 + 0.640080i \(0.778901\pi\)
\(758\) 0.773480 + 13.2801i 0.0280941 + 0.482356i
\(759\) −21.2425 + 4.86564i −0.771055 + 0.176612i
\(760\) 0.706748 0.0826069i 0.0256364 0.00299647i
\(761\) 21.8017 23.1085i 0.790311 0.837681i −0.199525 0.979893i \(-0.563940\pi\)
0.989836 + 0.142212i \(0.0454214\pi\)
\(762\) 17.1594 + 23.4158i 0.621619 + 0.848263i
\(763\) −4.30830 0.503568i −0.155971 0.0182304i
\(764\) 11.8503 9.94359i 0.428729 0.359746i
\(765\) −0.561752 0.0742655i −0.0203102 0.00268507i
\(766\) 8.68539 + 7.28790i 0.313816 + 0.263323i
\(767\) 46.5294 + 49.3183i 1.68008 + 1.78078i
\(768\) 0.313625 1.70342i 0.0113170 0.0614669i