Properties

Label 169.2.k.a.10.11
Level $169$
Weight $2$
Character 169.10
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.11
Character \(\chi\) \(=\) 169.10
Dual form 169.2.k.a.17.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.980708 + 0.200213i) q^{2} +(-2.27761 + 0.370148i) q^{3} +(-0.918255 - 0.391232i) q^{4} +(0.651073 - 2.64151i) q^{5} +(-2.30778 - 0.0930004i) q^{6} +(4.17842 - 1.98269i) q^{7} +(-2.46972 - 1.70472i) q^{8} +(2.20490 - 0.736104i) q^{9} +O(q^{10})\) \(q+(0.980708 + 0.200213i) q^{2} +(-2.27761 + 0.370148i) q^{3} +(-0.918255 - 0.391232i) q^{4} +(0.651073 - 2.64151i) q^{5} +(-2.30778 - 0.0930004i) q^{6} +(4.17842 - 1.98269i) q^{7} +(-2.46972 - 1.70472i) q^{8} +(2.20490 - 0.736104i) q^{9} +(1.16738 - 2.46019i) q^{10} +(0.585391 - 1.75346i) q^{11} +(2.23624 + 0.551185i) q^{12} +(-2.08324 + 2.94281i) q^{13} +(4.49477 - 1.10786i) q^{14} +(-0.505143 + 6.25732i) q^{15} +(-0.697915 - 0.726606i) q^{16} +(-2.65981 - 5.60544i) q^{17} +(2.30974 - 0.280453i) q^{18} +(0.560573 + 0.323647i) q^{19} +(-1.63129 + 2.17086i) q^{20} +(-8.78294 + 6.06243i) q^{21} +(0.925163 - 1.60243i) q^{22} +(2.07390 + 3.59210i) q^{23} +(6.25607 + 2.96854i) q^{24} +(-2.12638 - 1.11601i) q^{25} +(-2.63224 + 2.46895i) q^{26} +(1.38011 - 0.724339i) q^{27} +(-4.61255 + 0.185879i) q^{28} +(-0.335928 + 1.64548i) q^{29} +(-1.74820 + 6.03547i) q^{30} +(0.757958 + 1.44417i) q^{31} +(2.66882 + 4.22040i) q^{32} +(-0.684253 + 4.21038i) q^{33} +(-1.48622 - 6.02983i) q^{34} +(-2.51682 - 12.3282i) q^{35} +(-2.31265 - 0.186696i) q^{36} +(-2.53790 + 4.01337i) q^{37} +(0.484960 + 0.429637i) q^{38} +(3.65553 - 7.47368i) q^{39} +(-6.11101 + 5.41388i) q^{40} +(0.803175 + 4.94214i) q^{41} +(-9.82728 + 4.18701i) q^{42} +(7.23870 - 4.57748i) q^{43} +(-1.22355 + 1.38110i) q^{44} +(-0.508873 - 6.30352i) q^{45} +(1.31471 + 3.93802i) q^{46} +(10.4071 + 1.26365i) q^{47} +(1.85853 + 1.39660i) q^{48} +(9.10106 - 11.1468i) q^{49} +(-1.86192 - 1.52021i) q^{50} +(8.13287 + 11.7825i) q^{51} +(3.06427 - 1.88722i) q^{52} +(1.29029 - 1.86931i) q^{53} +(1.49851 - 0.434049i) q^{54} +(-4.25064 - 2.68794i) q^{55} +(-13.6995 - 2.22638i) q^{56} +(-1.39657 - 0.529647i) q^{57} +(-0.658895 + 1.54648i) q^{58} +(-6.37655 - 6.12476i) q^{59} +(2.91192 - 5.54819i) q^{60} +(-7.16358 + 0.578304i) q^{61} +(0.454194 + 1.56806i) q^{62} +(7.75354 - 7.44738i) q^{63} +(2.48688 + 6.55736i) q^{64} +(6.41711 + 7.41887i) q^{65} +(-1.51403 + 3.99216i) q^{66} +(3.81611 + 8.95673i) q^{67} +(0.249361 + 6.18783i) q^{68} +(-6.05315 - 7.41376i) q^{69} -12.5943i q^{70} +(7.93631 - 6.47979i) q^{71} +(-6.70034 - 1.94078i) q^{72} +(0.757082 + 0.854568i) q^{73} +(-3.29247 + 3.42782i) q^{74} +(5.25617 + 1.75477i) q^{75} +(-0.388128 - 0.516505i) q^{76} +(-1.03055 - 8.48734i) q^{77} +(5.08134 - 6.59762i) q^{78} +(-1.56101 + 12.8560i) q^{79} +(-2.37373 + 1.37047i) q^{80} +(-8.45023 + 6.34994i) q^{81} +(-0.201799 + 5.00760i) q^{82} +(-8.62375 + 3.27056i) q^{83} +(10.4368 - 2.13069i) q^{84} +(-16.5385 + 3.37637i) q^{85} +(8.01553 - 3.03989i) q^{86} +(0.156041 - 3.87212i) q^{87} +(-4.43492 + 3.33262i) q^{88} +(7.26445 - 4.19413i) q^{89} +(0.762991 - 6.28379i) q^{90} +(-2.86998 + 16.4267i) q^{91} +(-0.499025 - 4.10984i) q^{92} +(-2.26089 - 3.00870i) q^{93} +(9.95335 + 3.32292i) q^{94} +(1.21989 - 1.27004i) q^{95} +(-7.64071 - 8.62458i) q^{96} +(-10.9019 - 3.15778i) q^{97} +(11.1572 - 9.10958i) q^{98} -4.29711i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.980708 + 0.200213i 0.693465 + 0.141572i 0.533815 0.845602i \(-0.320758\pi\)
0.159651 + 0.987174i \(0.448963\pi\)
\(3\) −2.27761 + 0.370148i −1.31498 + 0.213705i −0.777133 0.629337i \(-0.783327\pi\)
−0.537848 + 0.843042i \(0.680762\pi\)
\(4\) −0.918255 0.391232i −0.459128 0.195616i
\(5\) 0.651073 2.64151i 0.291169 1.18132i −0.625032 0.780599i \(-0.714914\pi\)
0.916201 0.400719i \(-0.131240\pi\)
\(6\) −2.30778 0.0930004i −0.942148 0.0379673i
\(7\) 4.17842 1.98269i 1.57930 0.749385i 0.581362 0.813645i \(-0.302520\pi\)
0.997933 + 0.0642597i \(0.0204686\pi\)
\(8\) −2.46972 1.70472i −0.873178 0.602711i
\(9\) 2.20490 0.736104i 0.734967 0.245368i
\(10\) 1.16738 2.46019i 0.369157 0.777982i
\(11\) 0.585391 1.75346i 0.176502 0.528688i −0.822707 0.568466i \(-0.807537\pi\)
0.999209 + 0.0397785i \(0.0126652\pi\)
\(12\) 2.23624 + 0.551185i 0.645548 + 0.159113i
\(13\) −2.08324 + 2.94281i −0.577786 + 0.816188i
\(14\) 4.49477 1.10786i 1.20128 0.296089i
\(15\) −0.505143 + 6.25732i −0.130427 + 1.61563i
\(16\) −0.697915 0.726606i −0.174479 0.181652i
\(17\) −2.65981 5.60544i −0.645099 1.35952i −0.917655 0.397378i \(-0.869920\pi\)
0.272556 0.962140i \(-0.412131\pi\)
\(18\) 2.30974 0.280453i 0.544411 0.0661035i
\(19\) 0.560573 + 0.323647i 0.128604 + 0.0742497i 0.562922 0.826510i \(-0.309677\pi\)
−0.434318 + 0.900760i \(0.643010\pi\)
\(20\) −1.63129 + 2.17086i −0.364768 + 0.485419i
\(21\) −8.78294 + 6.06243i −1.91660 + 1.32293i
\(22\) 0.925163 1.60243i 0.197245 0.341639i
\(23\) 2.07390 + 3.59210i 0.432438 + 0.749004i 0.997083 0.0763296i \(-0.0243201\pi\)
−0.564645 + 0.825334i \(0.690987\pi\)
\(24\) 6.25607 + 2.96854i 1.27701 + 0.605951i
\(25\) −2.12638 1.11601i −0.425277 0.223202i
\(26\) −2.63224 + 2.46895i −0.516224 + 0.484200i
\(27\) 1.38011 0.724339i 0.265603 0.139399i
\(28\) −4.61255 + 0.185879i −0.871690 + 0.0351279i
\(29\) −0.335928 + 1.64548i −0.0623803 + 0.305559i −0.998996 0.0447995i \(-0.985735\pi\)
0.936616 + 0.350358i \(0.113940\pi\)
\(30\) −1.74820 + 6.03547i −0.319175 + 1.10192i
\(31\) 0.757958 + 1.44417i 0.136133 + 0.259380i 0.943973 0.330021i \(-0.107056\pi\)
−0.807840 + 0.589401i \(0.799364\pi\)
\(32\) 2.66882 + 4.22040i 0.471785 + 0.746068i
\(33\) −0.684253 + 4.21038i −0.119113 + 0.732933i
\(34\) −1.48622 6.02983i −0.254884 1.03411i
\(35\) −2.51682 12.3282i −0.425421 2.08385i
\(36\) −2.31265 0.186696i −0.385442 0.0311161i
\(37\) −2.53790 + 4.01337i −0.417228 + 0.659794i −0.986762 0.162174i \(-0.948149\pi\)
0.569534 + 0.821968i \(0.307124\pi\)
\(38\) 0.484960 + 0.429637i 0.0786709 + 0.0696964i
\(39\) 3.65553 7.47368i 0.585354 1.19675i
\(40\) −6.11101 + 5.41388i −0.966236 + 0.856010i
\(41\) 0.803175 + 4.94214i 0.125435 + 0.771832i 0.971198 + 0.238273i \(0.0765814\pi\)
−0.845763 + 0.533558i \(0.820854\pi\)
\(42\) −9.82728 + 4.18701i −1.51638 + 0.646070i
\(43\) 7.23870 4.57748i 1.10389 0.698059i 0.147184 0.989109i \(-0.452979\pi\)
0.956708 + 0.291050i \(0.0940046\pi\)
\(44\) −1.22355 + 1.38110i −0.184457 + 0.208209i
\(45\) −0.508873 6.30352i −0.0758582 0.939673i
\(46\) 1.31471 + 3.93802i 0.193843 + 0.580630i
\(47\) 10.4071 + 1.26365i 1.51804 + 0.184323i 0.836705 0.547653i \(-0.184479\pi\)
0.681330 + 0.731976i \(0.261402\pi\)
\(48\) 1.85853 + 1.39660i 0.268256 + 0.201581i
\(49\) 9.10106 11.1468i 1.30015 1.59240i
\(50\) −1.86192 1.52021i −0.263316 0.214990i
\(51\) 8.13287 + 11.7825i 1.13883 + 1.64988i
\(52\) 3.06427 1.88722i 0.424937 0.261710i
\(53\) 1.29029 1.86931i 0.177235 0.256769i −0.724291 0.689494i \(-0.757833\pi\)
0.901526 + 0.432726i \(0.142448\pi\)
\(54\) 1.49851 0.434049i 0.203921 0.0590665i
\(55\) −4.25064 2.68794i −0.573156 0.362442i
\(56\) −13.6995 2.22638i −1.83067 0.297513i
\(57\) −1.39657 0.529647i −0.184980 0.0701535i
\(58\) −0.658895 + 1.54648i −0.0865172 + 0.203063i
\(59\) −6.37655 6.12476i −0.830156 0.797376i 0.151415 0.988470i \(-0.451617\pi\)
−0.981572 + 0.191094i \(0.938796\pi\)
\(60\) 2.91192 5.54819i 0.375927 0.716269i
\(61\) −7.16358 + 0.578304i −0.917203 + 0.0740443i −0.530045 0.847969i \(-0.677825\pi\)
−0.387157 + 0.922014i \(0.626543\pi\)
\(62\) 0.454194 + 1.56806i 0.0576827 + 0.199144i
\(63\) 7.75354 7.44738i 0.976855 0.938282i
\(64\) 2.48688 + 6.55736i 0.310860 + 0.819670i
\(65\) 6.41711 + 7.41887i 0.795945 + 0.920198i
\(66\) −1.51403 + 3.99216i −0.186364 + 0.491401i
\(67\) 3.81611 + 8.95673i 0.466212 + 1.09424i 0.972715 + 0.232001i \(0.0745274\pi\)
−0.506504 + 0.862238i \(0.669062\pi\)
\(68\) 0.249361 + 6.18783i 0.0302395 + 0.750384i
\(69\) −6.05315 7.41376i −0.728713 0.892512i
\(70\) 12.5943i 1.50530i
\(71\) 7.93631 6.47979i 0.941866 0.769010i −0.0312053 0.999513i \(-0.509935\pi\)
0.973072 + 0.230503i \(0.0740371\pi\)
\(72\) −6.70034 1.94078i −0.789643 0.228723i
\(73\) 0.757082 + 0.854568i 0.0886097 + 0.100020i 0.791143 0.611631i \(-0.209486\pi\)
−0.702533 + 0.711651i \(0.747948\pi\)
\(74\) −3.29247 + 3.42782i −0.382742 + 0.398476i
\(75\) 5.25617 + 1.75477i 0.606930 + 0.202623i
\(76\) −0.388128 0.516505i −0.0445213 0.0592471i
\(77\) −1.03055 8.48734i −0.117442 0.967222i
\(78\) 5.08134 6.59762i 0.575348 0.747033i
\(79\) −1.56101 + 12.8560i −0.175627 + 1.44642i 0.592216 + 0.805779i \(0.298253\pi\)
−0.767843 + 0.640638i \(0.778670\pi\)
\(80\) −2.37373 + 1.37047i −0.265391 + 0.153224i
\(81\) −8.45023 + 6.34994i −0.938915 + 0.705549i
\(82\) −0.201799 + 5.00760i −0.0222850 + 0.552997i
\(83\) −8.62375 + 3.27056i −0.946580 + 0.358990i −0.779110 0.626887i \(-0.784329\pi\)
−0.167469 + 0.985877i \(0.553560\pi\)
\(84\) 10.4368 2.13069i 1.13875 0.232477i
\(85\) −16.5385 + 3.37637i −1.79386 + 0.366218i
\(86\) 8.01553 3.03989i 0.864337 0.327800i
\(87\) 0.156041 3.87212i 0.0167294 0.415135i
\(88\) −4.43492 + 3.33262i −0.472764 + 0.355259i
\(89\) 7.26445 4.19413i 0.770030 0.444577i −0.0628552 0.998023i \(-0.520021\pi\)
0.832885 + 0.553446i \(0.186687\pi\)
\(90\) 0.762991 6.28379i 0.0804263 0.662370i
\(91\) −2.86998 + 16.4267i −0.300856 + 1.72199i
\(92\) −0.499025 4.10984i −0.0520270 0.428480i
\(93\) −2.26089 3.00870i −0.234443 0.311987i
\(94\) 9.95335 + 3.32292i 1.02661 + 0.342733i
\(95\) 1.21989 1.27004i 0.125158 0.130303i
\(96\) −7.64071 8.62458i −0.779826 0.880242i
\(97\) −10.9019 3.15778i −1.10692 0.320624i −0.326073 0.945345i \(-0.605726\pi\)
−0.780848 + 0.624721i \(0.785213\pi\)
\(98\) 11.1572 9.10958i 1.12705 0.920207i
\(99\) 4.29711i 0.431876i
\(100\) 1.51594 + 1.85669i 0.151594 + 0.185669i
\(101\) −0.504582 12.5211i −0.0502078 1.24589i −0.806331 0.591464i \(-0.798550\pi\)
0.756123 0.654429i \(-0.227091\pi\)
\(102\) 5.61696 + 13.1835i 0.556162 + 1.30536i
\(103\) 2.19032 5.77539i 0.215818 0.569066i −0.782763 0.622320i \(-0.786190\pi\)
0.998581 + 0.0532542i \(0.0169594\pi\)
\(104\) 10.1617 3.71657i 0.996436 0.364439i
\(105\) 10.2956 + 27.1473i 1.00475 + 2.64930i
\(106\) 1.63966 1.57491i 0.159257 0.152969i
\(107\) −1.76697 6.10029i −0.170820 0.589738i −0.999547 0.0300857i \(-0.990422\pi\)
0.828728 0.559652i \(-0.189065\pi\)
\(108\) −1.55068 + 0.125184i −0.149214 + 0.0120458i
\(109\) −5.43921 + 10.3635i −0.520982 + 0.992647i 0.472786 + 0.881177i \(0.343248\pi\)
−0.993768 + 0.111470i \(0.964444\pi\)
\(110\) −3.63048 3.48712i −0.346153 0.332484i
\(111\) 4.29481 10.0803i 0.407646 0.956780i
\(112\) −4.35681 1.65232i −0.411680 0.156130i
\(113\) 8.37900 + 1.36172i 0.788230 + 0.128100i 0.541184 0.840904i \(-0.317976\pi\)
0.247046 + 0.969004i \(0.420540\pi\)
\(114\) −1.26358 0.799040i −0.118345 0.0748370i
\(115\) 10.8388 3.13950i 1.01072 0.292760i
\(116\) 0.952234 1.37955i 0.0884127 0.128088i
\(117\) −2.42712 + 8.02208i −0.224387 + 0.741641i
\(118\) −5.02728 7.28327i −0.462799 0.670480i
\(119\) −22.2276 18.1483i −2.03761 1.66365i
\(120\) 11.9146 14.5927i 1.08765 1.33213i
\(121\) 6.06194 + 4.55525i 0.551085 + 0.414114i
\(122\) −7.14117 0.867095i −0.646531 0.0785031i
\(123\) −3.65864 10.9590i −0.329889 0.988138i
\(124\) −0.130994 1.62265i −0.0117636 0.145718i
\(125\) 4.68795 5.29160i 0.419303 0.473295i
\(126\) 9.09503 5.75135i 0.810249 0.512371i
\(127\) 19.0118 8.10015i 1.68702 0.718772i 0.687052 0.726609i \(-0.258905\pi\)
0.999969 + 0.00783618i \(0.00249436\pi\)
\(128\) −0.475973 2.92878i −0.0420704 0.258870i
\(129\) −14.7926 + 13.1051i −1.30242 + 1.15384i
\(130\) 4.80796 + 8.56054i 0.421686 + 0.750809i
\(131\) −4.83819 4.28626i −0.422715 0.374493i 0.424780 0.905297i \(-0.360352\pi\)
−0.847495 + 0.530804i \(0.821890\pi\)
\(132\) 2.27556 3.59850i 0.198062 0.313209i
\(133\) 2.98400 + 0.240893i 0.258746 + 0.0208881i
\(134\) 1.94923 + 9.54798i 0.168388 + 0.824819i
\(135\) −1.01479 4.11717i −0.0873394 0.354350i
\(136\) −2.98673 + 18.3781i −0.256110 + 1.57591i
\(137\) −2.24074 3.54344i −0.191439 0.302736i 0.735806 0.677193i \(-0.236804\pi\)
−0.927245 + 0.374456i \(0.877829\pi\)
\(138\) −4.45204 8.48266i −0.378983 0.722092i
\(139\) −4.05861 + 14.0119i −0.344247 + 1.18848i 0.582512 + 0.812822i \(0.302070\pi\)
−0.926759 + 0.375656i \(0.877417\pi\)
\(140\) −2.51211 + 12.3051i −0.212312 + 1.03997i
\(141\) −24.1711 + 0.974064i −2.03558 + 0.0820310i
\(142\) 9.08054 4.76584i 0.762022 0.399940i
\(143\) 3.94059 + 5.37556i 0.329528 + 0.449527i
\(144\) −2.07369 1.08836i −0.172807 0.0906964i
\(145\) 4.12785 + 1.95869i 0.342799 + 0.162660i
\(146\) 0.571380 + 0.989660i 0.0472878 + 0.0819048i
\(147\) −16.6027 + 28.7568i −1.36937 + 2.37182i
\(148\) 3.90060 2.69239i 0.320627 0.221313i
\(149\) −9.80623 + 13.0497i −0.803357 + 1.06907i 0.192778 + 0.981242i \(0.438250\pi\)
−0.996135 + 0.0878321i \(0.972006\pi\)
\(150\) 4.80344 + 2.77327i 0.392199 + 0.226436i
\(151\) −19.2288 + 2.33480i −1.56482 + 0.190003i −0.856596 0.515988i \(-0.827425\pi\)
−0.708221 + 0.705991i \(0.750502\pi\)
\(152\) −0.832729 1.75494i −0.0675433 0.142344i
\(153\) −9.99081 10.4015i −0.807709 0.840914i
\(154\) 0.688607 8.52993i 0.0554896 0.687362i
\(155\) 4.30827 1.06189i 0.346048 0.0852932i
\(156\) −6.28066 + 5.43259i −0.502855 + 0.434955i
\(157\) −0.0509607 0.0125607i −0.00406711 0.00100245i 0.237282 0.971441i \(-0.423744\pi\)
−0.241349 + 0.970438i \(0.577590\pi\)
\(158\) −4.10484 + 12.2955i −0.326563 + 0.978176i
\(159\) −2.24686 + 4.73515i −0.178187 + 0.375522i
\(160\) 12.8858 4.30192i 1.01871 0.340096i
\(161\) 15.7876 + 10.8974i 1.24424 + 0.858837i
\(162\) −9.55855 + 4.53559i −0.750991 + 0.356350i
\(163\) 19.6089 + 0.790210i 1.53588 + 0.0618940i 0.793703 0.608305i \(-0.208150\pi\)
0.742181 + 0.670200i \(0.233791\pi\)
\(164\) 1.19600 4.85237i 0.0933921 0.378906i
\(165\) 10.6763 + 4.54873i 0.831145 + 0.354118i
\(166\) −9.11219 + 1.48088i −0.707243 + 0.114938i
\(167\) 0.286723 + 0.0585349i 0.0221873 + 0.00452957i 0.211107 0.977463i \(-0.432293\pi\)
−0.188919 + 0.981993i \(0.560498\pi\)
\(168\) 32.0262 2.47087
\(169\) −4.32024 12.2611i −0.332326 0.943164i
\(170\) −16.8955 −1.29582
\(171\) 1.47425 + 0.300969i 0.112738 + 0.0230157i
\(172\) −8.43784 + 1.37128i −0.643379 + 0.104559i
\(173\) 4.70721 + 2.00556i 0.357883 + 0.152480i 0.563422 0.826169i \(-0.309485\pi\)
−0.205539 + 0.978649i \(0.565895\pi\)
\(174\) 0.928280 3.76618i 0.0703727 0.285513i
\(175\) −11.0976 0.447219i −0.838902 0.0338066i
\(176\) −1.68263 + 0.798416i −0.126833 + 0.0601829i
\(177\) 16.7904 + 11.5896i 1.26204 + 0.871125i
\(178\) 7.96403 2.65878i 0.596929 0.199284i
\(179\) −11.0979 + 23.3884i −0.829498 + 1.74813i −0.186204 + 0.982511i \(0.559619\pi\)
−0.643294 + 0.765619i \(0.722433\pi\)
\(180\) −1.99886 + 5.98733i −0.148986 + 0.446269i
\(181\) −5.68738 1.40181i −0.422739 0.104196i 0.0222064 0.999753i \(-0.492931\pi\)
−0.444946 + 0.895558i \(0.646777\pi\)
\(182\) −6.10345 + 15.5352i −0.452418 + 1.15155i
\(183\) 16.1018 3.96874i 1.19028 0.293378i
\(184\) 1.00159 12.4069i 0.0738381 0.914649i
\(185\) 8.94898 + 9.31688i 0.657942 + 0.684991i
\(186\) −1.61489 3.40331i −0.118410 0.249543i
\(187\) −11.3859 + 1.38250i −0.832622 + 0.101099i
\(188\) −9.06202 5.23196i −0.660916 0.381580i
\(189\) 4.33056 5.76292i 0.315002 0.419191i
\(190\) 1.45063 1.00130i 0.105240 0.0726420i
\(191\) −5.32384 + 9.22117i −0.385220 + 0.667220i −0.991800 0.127802i \(-0.959208\pi\)
0.606580 + 0.795023i \(0.292541\pi\)
\(192\) −8.09134 14.0146i −0.583942 1.01142i
\(193\) 19.8496 + 9.41877i 1.42881 + 0.677978i 0.976823 0.214047i \(-0.0686646\pi\)
0.451985 + 0.892025i \(0.350716\pi\)
\(194\) −10.0594 5.27956i −0.722220 0.379050i
\(195\) −17.3618 14.5220i −1.24330 1.03994i
\(196\) −12.7181 + 6.67496i −0.908434 + 0.476783i
\(197\) 1.25244 0.0504715i 0.0892324 0.00359594i 0.00439043 0.999990i \(-0.498602\pi\)
0.0848420 + 0.996394i \(0.472961\pi\)
\(198\) 0.860337 4.21421i 0.0611415 0.299491i
\(199\) 0.908855 3.13773i 0.0644270 0.222428i −0.921844 0.387560i \(-0.873318\pi\)
0.986271 + 0.165132i \(0.0528051\pi\)
\(200\) 3.34908 + 6.38114i 0.236816 + 0.451215i
\(201\) −12.0069 18.9874i −0.846904 1.33927i
\(202\) 2.01203 12.3805i 0.141566 0.871092i
\(203\) 1.85883 + 7.54157i 0.130464 + 0.529315i
\(204\) −2.85836 14.0012i −0.200125 0.980278i
\(205\) 13.5776 + 1.09610i 0.948301 + 0.0765548i
\(206\) 3.30437 5.22544i 0.230226 0.364074i
\(207\) 7.21690 + 6.39362i 0.501609 + 0.444387i
\(208\) 3.59218 0.540136i 0.249073 0.0374517i
\(209\) 0.895656 0.793482i 0.0619538 0.0548863i
\(210\) 4.66175 + 28.6849i 0.321691 + 1.97945i
\(211\) −13.0527 + 5.56124i −0.898586 + 0.382852i −0.791337 0.611380i \(-0.790615\pi\)
−0.107249 + 0.994232i \(0.534204\pi\)
\(212\) −1.91615 + 1.21170i −0.131601 + 0.0832197i
\(213\) −15.6773 + 17.6961i −1.07419 + 1.21251i
\(214\) −0.511525 6.33638i −0.0349672 0.433146i
\(215\) −7.37852 22.1014i −0.503211 1.50730i
\(216\) −4.64329 0.563797i −0.315936 0.0383615i
\(217\) 6.03040 + 4.53155i 0.409370 + 0.307622i
\(218\) −7.40919 + 9.07461i −0.501814 + 0.614610i
\(219\) −2.04066 1.66614i −0.137895 0.112588i
\(220\) 2.85157 + 4.13121i 0.192252 + 0.278526i
\(221\) 22.0368 + 3.85014i 1.48235 + 0.258988i
\(222\) 6.23017 9.02595i 0.418141 0.605782i
\(223\) −13.0737 + 3.78683i −0.875477 + 0.253585i −0.685385 0.728181i \(-0.740366\pi\)
−0.190092 + 0.981766i \(0.560879\pi\)
\(224\) 19.5192 + 12.3432i 1.30418 + 0.824714i
\(225\) −5.50997 0.895457i −0.367331 0.0596971i
\(226\) 7.94472 + 3.01304i 0.528475 + 0.200424i
\(227\) 8.12695 19.0747i 0.539405 1.26603i −0.397871 0.917441i \(-0.630251\pi\)
0.937276 0.348588i \(-0.113339\pi\)
\(228\) 1.07519 + 1.03273i 0.0712061 + 0.0683944i
\(229\) −1.37621 + 2.62215i −0.0909427 + 0.173277i −0.926679 0.375855i \(-0.877349\pi\)
0.835736 + 0.549132i \(0.185041\pi\)
\(230\) 11.2583 0.908863i 0.742349 0.0599286i
\(231\) 5.48876 + 18.9494i 0.361134 + 1.24678i
\(232\) 3.63475 3.49122i 0.238633 0.229210i
\(233\) −2.88916 7.61810i −0.189275 0.499078i 0.806465 0.591282i \(-0.201378\pi\)
−0.995740 + 0.0922040i \(0.970609\pi\)
\(234\) −3.98642 + 7.38138i −0.260600 + 0.482536i
\(235\) 10.1137 26.6678i 0.659748 1.73961i
\(236\) 3.45910 + 8.11881i 0.225168 + 0.528489i
\(237\) −1.20327 29.8589i −0.0781609 1.93954i
\(238\) −18.1653 22.2485i −1.17748 1.44215i
\(239\) 9.31821i 0.602745i −0.953506 0.301373i \(-0.902555\pi\)
0.953506 0.301373i \(-0.0974448\pi\)
\(240\) 4.89916 4.00004i 0.316239 0.258201i
\(241\) −9.20579 2.66649i −0.592997 0.171764i −0.0318682 0.999492i \(-0.510146\pi\)
−0.561129 + 0.827728i \(0.689633\pi\)
\(242\) 5.03297 + 5.68105i 0.323532 + 0.365192i
\(243\) 13.6568 14.2182i 0.876084 0.912100i
\(244\) 6.80425 + 2.27159i 0.435597 + 0.145424i
\(245\) −23.5188 31.2979i −1.50256 1.99955i
\(246\) −1.39393 11.4801i −0.0888739 0.731942i
\(247\) −2.12024 + 0.975425i −0.134907 + 0.0620648i
\(248\) 0.589965 4.85880i 0.0374628 0.308534i
\(249\) 18.4310 10.6411i 1.16802 0.674354i
\(250\) 5.65695 4.25092i 0.357777 0.268852i
\(251\) −0.254216 + 6.30831i −0.0160460 + 0.398177i 0.971131 + 0.238547i \(0.0766711\pi\)
−0.987177 + 0.159630i \(0.948970\pi\)
\(252\) −10.0334 + 3.80516i −0.632044 + 0.239703i
\(253\) 7.51264 1.53372i 0.472316 0.0964239i
\(254\) 20.2667 4.13749i 1.27165 0.259609i
\(255\) 36.4186 13.8118i 2.28062 0.864926i
\(256\) 0.684367 16.9824i 0.0427729 1.06140i
\(257\) 3.32439 2.49812i 0.207370 0.155828i −0.491983 0.870605i \(-0.663728\pi\)
0.699353 + 0.714776i \(0.253472\pi\)
\(258\) −17.1311 + 9.89062i −1.06653 + 0.615763i
\(259\) −2.64717 + 21.8014i −0.164487 + 1.35467i
\(260\) −2.99005 9.32300i −0.185435 0.578188i
\(261\) 0.470560 + 3.87541i 0.0291269 + 0.239882i
\(262\) −3.88669 5.17224i −0.240120 0.319542i
\(263\) 8.12057 + 2.71104i 0.500736 + 0.167170i 0.555805 0.831312i \(-0.312410\pi\)
−0.0550698 + 0.998483i \(0.517538\pi\)
\(264\) 8.86746 9.23200i 0.545754 0.568190i
\(265\) −4.09771 4.62536i −0.251720 0.284134i
\(266\) 2.87820 + 0.833682i 0.176474 + 0.0511163i
\(267\) −14.9932 + 12.2415i −0.917566 + 0.749170i
\(268\) 9.71755i 0.593594i
\(269\) −4.66846 5.71783i −0.284641 0.348622i 0.612417 0.790535i \(-0.290197\pi\)
−0.897058 + 0.441913i \(0.854300\pi\)
\(270\) −0.170903 4.24092i −0.0104008 0.258094i
\(271\) 9.26947 + 21.7562i 0.563080 + 1.32160i 0.921624 + 0.388085i \(0.126863\pi\)
−0.358543 + 0.933513i \(0.616726\pi\)
\(272\) −2.21662 + 5.84475i −0.134402 + 0.354390i
\(273\) 0.456390 38.4760i 0.0276220 2.32867i
\(274\) −1.48806 3.92370i −0.0898973 0.237040i
\(275\) −3.20165 + 3.07522i −0.193067 + 0.185443i
\(276\) 2.65784 + 9.17591i 0.159983 + 0.552325i
\(277\) 13.0730 1.05536i 0.785479 0.0634104i 0.318782 0.947828i \(-0.396726\pi\)
0.466697 + 0.884418i \(0.345444\pi\)
\(278\) −6.78569 + 12.9290i −0.406978 + 0.775433i
\(279\) 2.73428 + 2.62631i 0.163697 + 0.157233i
\(280\) −14.8004 + 34.7377i −0.884491 + 2.07598i
\(281\) −12.5265 4.75066i −0.747266 0.283401i −0.0485706 0.998820i \(-0.515467\pi\)
−0.698696 + 0.715419i \(0.746236\pi\)
\(282\) −23.8999 3.88410i −1.42322 0.231295i
\(283\) −6.45136 4.07959i −0.383493 0.242507i 0.328783 0.944405i \(-0.393361\pi\)
−0.712277 + 0.701899i \(0.752336\pi\)
\(284\) −9.82266 + 2.84517i −0.582868 + 0.168830i
\(285\) −2.30833 + 3.34420i −0.136734 + 0.198093i
\(286\) 2.78831 + 6.06082i 0.164876 + 0.358384i
\(287\) 13.1547 + 19.0579i 0.776498 + 1.12495i
\(288\) 8.99113 + 7.34103i 0.529808 + 0.432574i
\(289\) −13.5947 + 16.6505i −0.799691 + 0.979444i
\(290\) 3.65606 + 2.74735i 0.214691 + 0.161330i
\(291\) 25.9992 + 3.15687i 1.52410 + 0.185059i
\(292\) −0.360860 1.08091i −0.0211177 0.0632553i
\(293\) 0.603024 + 7.46979i 0.0352290 + 0.436390i 0.990197 + 0.139680i \(0.0446073\pi\)
−0.954968 + 0.296710i \(0.904111\pi\)
\(294\) −22.0399 + 24.8779i −1.28539 + 1.45091i
\(295\) −20.3302 + 12.8560i −1.18367 + 0.748508i
\(296\) 13.1096 5.58548i 0.761980 0.324649i
\(297\) −0.462193 2.84399i −0.0268192 0.165025i
\(298\) −12.2298 + 10.8346i −0.708452 + 0.627633i
\(299\) −14.8913 1.38011i −0.861185 0.0798136i
\(300\) −4.13998 3.66771i −0.239022 0.211755i
\(301\) 21.1707 33.4787i 1.22026 1.92968i
\(302\) −19.3253 1.56010i −1.11205 0.0897736i
\(303\) 5.78389 + 28.3314i 0.332276 + 1.62760i
\(304\) −0.156068 0.633193i −0.00895112 0.0363161i
\(305\) −3.13642 + 19.2992i −0.179591 + 1.10507i
\(306\) −7.71555 12.2012i −0.441068 0.697494i
\(307\) −7.55764 14.3999i −0.431337 0.821845i 0.568662 0.822571i \(-0.307461\pi\)
−1.00000 0.000726368i \(0.999769\pi\)
\(308\) −2.37421 + 8.19673i −0.135283 + 0.467052i
\(309\) −2.85094 + 13.9648i −0.162184 + 0.794432i
\(310\) 4.43776 0.178835i 0.252048 0.0101572i
\(311\) −7.92461 + 4.15916i −0.449363 + 0.235844i −0.674195 0.738554i \(-0.735509\pi\)
0.224831 + 0.974398i \(0.427817\pi\)
\(312\) −21.7687 + 12.2262i −1.23241 + 0.692174i
\(313\) −19.3150 10.1373i −1.09175 0.572993i −0.179967 0.983673i \(-0.557599\pi\)
−0.911780 + 0.410680i \(0.865292\pi\)
\(314\) −0.0474628 0.0225214i −0.00267848 0.00127095i
\(315\) −14.6242 25.3298i −0.823979 1.42717i
\(316\) 6.46309 11.1944i 0.363577 0.629735i
\(317\) −11.8697 + 8.19307i −0.666669 + 0.460168i −0.852718 0.522372i \(-0.825047\pi\)
0.186049 + 0.982541i \(0.440432\pi\)
\(318\) −3.15155 + 4.19395i −0.176730 + 0.235185i
\(319\) 2.68864 + 1.55229i 0.150535 + 0.0869114i
\(320\) 18.9404 2.29979i 1.05880 0.128562i
\(321\) 6.28249 + 13.2401i 0.350654 + 0.738988i
\(322\) 13.3013 + 13.8481i 0.741250 + 0.771723i
\(323\) 0.323163 4.00310i 0.0179813 0.222738i
\(324\) 10.2438 2.52486i 0.569098 0.140270i
\(325\) 7.71397 3.93262i 0.427894 0.218143i
\(326\) 19.0724 + 4.70091i 1.05632 + 0.260360i
\(327\) 8.55236 25.6175i 0.472947 1.41665i
\(328\) 6.44136 13.5749i 0.355665 0.749548i
\(329\) 45.9908 15.3540i 2.53556 0.846493i
\(330\) 9.55957 + 6.59850i 0.526237 + 0.363235i
\(331\) 22.3739 10.6166i 1.22978 0.583538i 0.300808 0.953685i \(-0.402744\pi\)
0.928973 + 0.370146i \(0.120692\pi\)
\(332\) 9.19835 + 0.370681i 0.504825 + 0.0203438i
\(333\) −2.64156 + 10.7172i −0.144757 + 0.587301i
\(334\) 0.269472 + 0.114811i 0.0147449 + 0.00628220i
\(335\) 26.1438 4.24879i 1.42839 0.232136i
\(336\) 10.5347 + 2.15068i 0.574717 + 0.117329i
\(337\) −31.5549 −1.71891 −0.859453 0.511215i \(-0.829195\pi\)
−0.859453 + 0.511215i \(0.829195\pi\)
\(338\) −1.78206 12.8896i −0.0969313 0.701100i
\(339\) −19.5882 −1.06388
\(340\) 16.5075 + 3.37004i 0.895247 + 0.182766i
\(341\) 2.97599 0.483645i 0.161159 0.0261909i
\(342\) 1.38555 + 0.590326i 0.0749218 + 0.0319212i
\(343\) 8.17974 33.1865i 0.441664 1.79190i
\(344\) −25.6809 1.03491i −1.38462 0.0557984i
\(345\) −23.5245 + 11.1625i −1.26652 + 0.600971i
\(346\) 4.21486 + 2.90931i 0.226592 + 0.156405i
\(347\) −11.7881 + 3.93545i −0.632818 + 0.211266i −0.614939 0.788574i \(-0.710820\pi\)
−0.0178790 + 0.999840i \(0.505691\pi\)
\(348\) −1.65818 + 3.49455i −0.0888880 + 0.187327i
\(349\) −2.76087 + 8.26982i −0.147786 + 0.442674i −0.996244 0.0865893i \(-0.972403\pi\)
0.848458 + 0.529263i \(0.177531\pi\)
\(350\) −10.7940 2.66048i −0.576964 0.142209i
\(351\) −0.743511 + 5.57037i −0.0396857 + 0.297325i
\(352\) 8.96260 2.20908i 0.477708 0.117744i
\(353\) −0.573595 + 7.10525i −0.0305294 + 0.378174i 0.963393 + 0.268093i \(0.0863933\pi\)
−0.993923 + 0.110082i \(0.964889\pi\)
\(354\) 14.1461 + 14.7276i 0.751856 + 0.782765i
\(355\) −11.9493 25.1826i −0.634203 1.33656i
\(356\) −8.31150 + 1.00920i −0.440509 + 0.0534874i
\(357\) 57.3435 + 33.1073i 3.03494 + 1.75222i
\(358\) −15.5665 + 20.7152i −0.822715 + 1.09483i
\(359\) −6.48240 + 4.47448i −0.342128 + 0.236154i −0.726722 0.686932i \(-0.758957\pi\)
0.384594 + 0.923086i \(0.374342\pi\)
\(360\) −9.48899 + 16.4354i −0.500114 + 0.866222i
\(361\) −9.29051 16.0916i −0.488974 0.846928i
\(362\) −5.29700 2.51346i −0.278404 0.132104i
\(363\) −15.4929 8.13128i −0.813164 0.426781i
\(364\) 9.06203 13.9611i 0.474979 0.731760i
\(365\) 2.75026 1.44345i 0.143955 0.0755536i
\(366\) 16.5858 0.668384i 0.866952 0.0349370i
\(367\) −5.94407 + 29.1160i −0.310278 + 1.51984i 0.463335 + 0.886183i \(0.346653\pi\)
−0.773613 + 0.633659i \(0.781552\pi\)
\(368\) 1.16264 4.01389i 0.0606066 0.209238i
\(369\) 5.40885 + 10.3057i 0.281573 + 0.536493i
\(370\) 6.91098 + 10.9288i 0.359285 + 0.568164i
\(371\) 1.68512 10.3690i 0.0874873 0.538331i
\(372\) 0.898975 + 3.64729i 0.0466097 + 0.189103i
\(373\) −1.52907 7.48990i −0.0791724 0.387812i 0.920825 0.389976i \(-0.127517\pi\)
−0.999998 + 0.00216325i \(0.999311\pi\)
\(374\) −11.4431 0.923780i −0.591707 0.0477675i
\(375\) −8.71865 + 13.7874i −0.450229 + 0.711980i
\(376\) −23.5485 20.8622i −1.21442 1.07588i
\(377\) −4.14253 4.41651i −0.213351 0.227462i
\(378\) 5.40082 4.78471i 0.277788 0.246099i
\(379\) 0.504280 + 3.10296i 0.0259031 + 0.159388i 0.996779 0.0801935i \(-0.0255538\pi\)
−0.970876 + 0.239582i \(0.922990\pi\)
\(380\) −1.61705 + 0.688961i −0.0829529 + 0.0353429i
\(381\) −40.3032 + 25.4862i −2.06479 + 1.30570i
\(382\) −7.06734 + 7.97737i −0.361596 + 0.408158i
\(383\) 2.60412 + 32.2578i 0.133064 + 1.64830i 0.627161 + 0.778890i \(0.284217\pi\)
−0.494097 + 0.869407i \(0.664501\pi\)
\(384\) 2.16816 + 6.49444i 0.110644 + 0.331418i
\(385\) −23.0903 2.80367i −1.17679 0.142888i
\(386\) 17.5810 + 13.2112i 0.894847 + 0.672434i
\(387\) 12.5911 15.4213i 0.640043 0.783910i
\(388\) 8.77531 + 7.16482i 0.445499 + 0.363739i
\(389\) 1.86824 + 2.70661i 0.0947236 + 0.137231i 0.867480 0.497472i \(-0.165738\pi\)
−0.772757 + 0.634702i \(0.781123\pi\)
\(390\) −14.1193 17.7179i −0.714960 0.897182i
\(391\) 14.6191 21.1794i 0.739320 1.07109i
\(392\) −41.4792 + 12.0146i −2.09502 + 0.606829i
\(393\) 12.6061 + 7.97160i 0.635892 + 0.402114i
\(394\) 1.23838 + 0.201256i 0.0623887 + 0.0101391i
\(395\) 32.9430 + 12.4936i 1.65754 + 0.628622i
\(396\) −1.68117 + 3.94584i −0.0844818 + 0.198286i
\(397\) 4.50554 + 4.32763i 0.226127 + 0.217198i 0.797222 0.603686i \(-0.206302\pi\)
−0.571096 + 0.820884i \(0.693481\pi\)
\(398\) 1.51954 2.89523i 0.0761675 0.145125i
\(399\) −6.88556 + 0.555860i −0.344709 + 0.0278278i
\(400\) 0.673133 + 2.32392i 0.0336566 + 0.116196i
\(401\) −5.66485 + 5.44116i −0.282889 + 0.271718i −0.820716 0.571337i \(-0.806425\pi\)
0.537827 + 0.843055i \(0.319245\pi\)
\(402\) −7.97376 21.0251i −0.397695 1.04864i
\(403\) −5.82891 0.778020i −0.290359 0.0387559i
\(404\) −4.43531 + 11.6950i −0.220665 + 0.581846i
\(405\) 11.2717 + 26.4556i 0.560095 + 1.31459i
\(406\) 0.313050 + 7.76824i 0.0155364 + 0.385532i
\(407\) 5.55161 + 6.79949i 0.275183 + 0.337038i
\(408\) 42.9638i 2.12702i
\(409\) 20.0208 16.3465i 0.989965 0.808282i 0.00850810 0.999964i \(-0.497292\pi\)
0.981457 + 0.191682i \(0.0613943\pi\)
\(410\) 13.0962 + 3.79337i 0.646776 + 0.187341i
\(411\) 6.41512 + 7.24118i 0.316435 + 0.357181i
\(412\) −4.27079 + 4.44636i −0.210407 + 0.219056i
\(413\) −38.7874 12.9491i −1.90860 0.637186i
\(414\) 5.79759 + 7.71519i 0.284936 + 0.379181i
\(415\) 3.02451 + 24.9091i 0.148467 + 1.22274i
\(416\) −17.9796 0.938271i −0.881523 0.0460025i
\(417\) 4.05745 33.4161i 0.198694 1.63639i
\(418\) 1.03724 0.598852i 0.0507332 0.0292908i
\(419\) −1.71259 + 1.28693i −0.0836657 + 0.0628707i −0.641752 0.766912i \(-0.721792\pi\)
0.558086 + 0.829783i \(0.311536\pi\)
\(420\) 1.16689 28.9561i 0.0569385 1.41291i
\(421\) 5.35177 2.02966i 0.260829 0.0989195i −0.220724 0.975336i \(-0.570842\pi\)
0.481553 + 0.876417i \(0.340073\pi\)
\(422\) −13.9143 + 2.84063i −0.677340 + 0.138280i
\(423\) 23.8769 4.87450i 1.16093 0.237006i
\(424\) −6.37330 + 2.41707i −0.309515 + 0.117384i
\(425\) −0.599954 + 14.8877i −0.0291020 + 0.722159i
\(426\) −18.9179 + 14.2159i −0.916575 + 0.688761i
\(427\) −28.7859 + 16.6195i −1.39305 + 0.804276i
\(428\) −0.764099 + 6.29292i −0.0369341 + 0.304180i
\(429\) −10.9649 10.7848i −0.529390 0.520697i
\(430\) −2.81119 23.1523i −0.135568 1.11650i
\(431\) −22.7008 30.2093i −1.09346 1.45513i −0.878025 0.478615i \(-0.841139\pi\)
−0.215436 0.976518i \(-0.569117\pi\)
\(432\) −1.48951 0.497271i −0.0716640 0.0239250i
\(433\) −4.84152 + 5.04056i −0.232669 + 0.242234i −0.827294 0.561769i \(-0.810121\pi\)
0.594625 + 0.804003i \(0.297300\pi\)
\(434\) 5.00679 + 5.65149i 0.240333 + 0.271280i
\(435\) −10.1266 2.93322i −0.485535 0.140637i
\(436\) 9.04913 7.38839i 0.433375 0.353840i
\(437\) 2.68484i 0.128434i
\(438\) −1.66770 2.04257i −0.0796860 0.0975976i
\(439\) −0.537400 13.3354i −0.0256487 0.636465i −0.959981 0.280064i \(-0.909644\pi\)
0.934333 0.356402i \(-0.115997\pi\)
\(440\) 5.91569 + 13.8846i 0.282020 + 0.661924i
\(441\) 11.8617 31.2768i 0.564845 1.48937i
\(442\) 20.8408 + 8.18790i 0.991295 + 0.389459i
\(443\) 5.85153 + 15.4292i 0.278015 + 0.733064i 0.999187 + 0.0403089i \(0.0128342\pi\)
−0.721173 + 0.692755i \(0.756397\pi\)
\(444\) −7.88747 + 7.57602i −0.374323 + 0.359542i
\(445\) −6.34914 21.9198i −0.300978 1.03910i
\(446\) −13.5796 + 1.09626i −0.643013 + 0.0519094i
\(447\) 17.5045 33.3520i 0.827932 1.57749i
\(448\) 23.3924 + 22.4687i 1.10519 + 1.06155i
\(449\) −7.03541 + 16.5127i −0.332021 + 0.779283i 0.667381 + 0.744716i \(0.267415\pi\)
−0.999402 + 0.0345663i \(0.988995\pi\)
\(450\) −5.22439 1.98135i −0.246280 0.0934017i
\(451\) 9.13600 + 1.48474i 0.430197 + 0.0699139i
\(452\) −7.16131 4.52854i −0.336840 0.213005i
\(453\) 42.9315 12.4353i 2.01710 0.584260i
\(454\) 11.7892 17.0796i 0.553293 0.801583i
\(455\) 41.5227 + 18.2761i 1.94661 + 0.856795i
\(456\) 2.54622 + 3.68884i 0.119238 + 0.172746i
\(457\) 12.1013 + 9.88042i 0.566076 + 0.462187i 0.871751 0.489949i \(-0.162985\pi\)
−0.305675 + 0.952136i \(0.598882\pi\)
\(458\) −1.87465 + 2.29603i −0.0875967 + 0.107287i
\(459\) −7.73107 5.80953i −0.360856 0.271165i
\(460\) −11.1811 1.35763i −0.521320 0.0632997i
\(461\) 2.63888 + 7.90442i 0.122905 + 0.368145i 0.991957 0.126575i \(-0.0403986\pi\)
−0.869052 + 0.494721i \(0.835270\pi\)
\(462\) 1.58896 + 19.6828i 0.0739250 + 0.915725i
\(463\) 10.3782 11.7145i 0.482315 0.544421i −0.456101 0.889928i \(-0.650755\pi\)
0.938416 + 0.345507i \(0.112293\pi\)
\(464\) 1.43007 0.904320i 0.0663893 0.0419820i
\(465\) −9.41950 + 4.01327i −0.436819 + 0.186111i
\(466\) −1.30818 8.04958i −0.0606005 0.372890i
\(467\) 10.0455 8.89954i 0.464850 0.411822i −0.397918 0.917421i \(-0.630267\pi\)
0.862768 + 0.505600i \(0.168729\pi\)
\(468\) 5.36721 6.41675i 0.248099 0.296614i
\(469\) 33.7037 + 29.8589i 1.55629 + 1.37875i
\(470\) 15.2579 24.1284i 0.703793 1.11296i
\(471\) 0.120718 + 0.00974537i 0.00556240 + 0.000449043i
\(472\) 5.30727 + 25.9967i 0.244287 + 1.19660i
\(473\) −3.78895 15.3724i −0.174216 0.706823i
\(474\) 4.79808 29.5238i 0.220383 1.35607i
\(475\) −0.830799 1.31380i −0.0381197 0.0602814i
\(476\) 13.3105 + 25.3610i 0.610084 + 1.16242i
\(477\) 1.46895 5.07142i 0.0672588 0.232204i
\(478\) 1.86563 9.13845i 0.0853318 0.417983i
\(479\) −3.51246 + 0.141547i −0.160488 + 0.00646746i −0.120380 0.992728i \(-0.538411\pi\)
−0.0401083 + 0.999195i \(0.512770\pi\)
\(480\) −27.7565 + 14.5678i −1.26691 + 0.664924i
\(481\) −6.52353 15.8294i −0.297447 0.721756i
\(482\) −8.49433 4.45817i −0.386906 0.203064i
\(483\) −39.9918 18.9763i −1.81969 0.863453i
\(484\) −3.78425 6.55451i −0.172011 0.297932i
\(485\) −15.4392 + 26.7415i −0.701059 + 1.21427i
\(486\) 16.2400 11.2097i 0.736662 0.508481i
\(487\) −4.85287 + 6.45800i −0.219905 + 0.292640i −0.895891 0.444274i \(-0.853462\pi\)
0.675986 + 0.736914i \(0.263718\pi\)
\(488\) 18.6779 + 10.7837i 0.845509 + 0.488155i
\(489\) −44.9539 + 5.45839i −2.03288 + 0.246837i
\(490\) −16.7989 35.4029i −0.758895 1.59934i
\(491\) 9.95109 + 10.3602i 0.449086 + 0.467548i 0.906806 0.421548i \(-0.138513\pi\)
−0.457720 + 0.889097i \(0.651334\pi\)
\(492\) −0.927933 + 11.4945i −0.0418345 + 0.518213i
\(493\) 10.1172 2.49366i 0.455654 0.112309i
\(494\) −2.27463 + 0.532109i −0.102340 + 0.0239407i
\(495\) −11.3508 2.79773i −0.510183 0.125749i
\(496\) 0.520351 1.55864i 0.0233645 0.0699851i
\(497\) 20.3138 42.8105i 0.911201 1.92031i
\(498\) 20.2059 6.74572i 0.905448 0.302283i
\(499\) 8.72501 + 6.02244i 0.390585 + 0.269602i 0.747132 0.664676i \(-0.231430\pi\)
−0.356546 + 0.934278i \(0.616046\pi\)
\(500\) −6.37497 + 3.02496i −0.285097 + 0.135280i
\(501\) −0.674711 0.0271899i −0.0301438 0.00121476i
\(502\) −1.51232 + 6.13572i −0.0674981 + 0.273850i
\(503\) 16.4174 + 6.99481i 0.732016 + 0.311883i 0.725619 0.688097i \(-0.241553\pi\)
0.00639710 + 0.999980i \(0.497964\pi\)
\(504\) −31.8448 + 5.17529i −1.41848 + 0.230526i
\(505\) −33.4030 6.81928i −1.48642 0.303454i
\(506\) 7.67478 0.341185
\(507\) 14.3783 + 26.3270i 0.638562 + 1.16922i
\(508\) −20.6267 −0.915161
\(509\) 10.5116 + 2.14596i 0.465919 + 0.0951181i 0.427249 0.904134i \(-0.359483\pi\)
0.0386700 + 0.999252i \(0.487688\pi\)
\(510\) 38.4813 6.25383i 1.70398 0.276924i
\(511\) 4.85775 + 2.06969i 0.214894 + 0.0915578i
\(512\) 2.65106 10.7558i 0.117162 0.475343i
\(513\) 1.00808 + 0.0406244i 0.0445080 + 0.00179361i
\(514\) 3.76041 1.78434i 0.165865 0.0787038i
\(515\) −13.8297 9.54594i −0.609408 0.420644i
\(516\) 18.7105 6.24650i 0.823686 0.274987i
\(517\) 8.30800 17.5087i 0.365385 0.770033i
\(518\) −6.96103 + 20.8508i −0.305850 + 0.916133i
\(519\) −11.4636 2.82551i −0.503194 0.124026i
\(520\) −3.20134 29.2619i −0.140388 1.28322i
\(521\) −25.3544 + 6.24929i −1.11079 + 0.273786i −0.751694 0.659513i \(-0.770763\pi\)
−0.359101 + 0.933299i \(0.616917\pi\)
\(522\) −0.314425 + 3.89486i −0.0137620 + 0.170473i
\(523\) 14.8998 + 15.5123i 0.651523 + 0.678307i 0.962242 0.272195i \(-0.0877495\pi\)
−0.310720 + 0.950502i \(0.600570\pi\)
\(524\) 2.76577 + 5.82874i 0.120823 + 0.254630i
\(525\) 25.4416 3.08918i 1.11036 0.134823i
\(526\) 7.42112 + 4.28459i 0.323576 + 0.186817i
\(527\) 6.07917 8.08990i 0.264813 0.352402i
\(528\) 3.53684 2.44130i 0.153921 0.106244i
\(529\) 2.89788 5.01928i 0.125995 0.218230i
\(530\) −3.09260 5.35654i −0.134334 0.232673i
\(531\) −18.5681 8.81068i −0.805788 0.382351i
\(532\) −2.64583 1.38864i −0.114711 0.0602051i
\(533\) −16.2170 7.93205i −0.702435 0.343575i
\(534\) −17.1548 + 9.00355i −0.742362 + 0.389622i
\(535\) −17.2644 + 0.695731i −0.746405 + 0.0300791i
\(536\) 5.84405 28.6260i 0.252424 1.23646i
\(537\) 16.6196 57.3776i 0.717189 2.47603i
\(538\) −3.43362 6.54221i −0.148034 0.282055i
\(539\) −14.2177 22.4835i −0.612401 0.968435i
\(540\) −0.678932 + 4.17764i −0.0292166 + 0.179777i
\(541\) −0.145665 0.590987i −0.00626263 0.0254085i 0.967727 0.251999i \(-0.0810881\pi\)
−0.973990 + 0.226591i \(0.927242\pi\)
\(542\) 4.73476 + 23.1924i 0.203375 + 0.996199i
\(543\) 13.4725 + 1.08761i 0.578161 + 0.0466740i
\(544\) 16.5586 26.1854i 0.709945 1.12269i
\(545\) 23.8341 + 21.1151i 1.02094 + 0.904473i
\(546\) 8.15098 37.6423i 0.348830 1.61094i
\(547\) 10.2028 9.03892i 0.436241 0.386476i −0.416222 0.909263i \(-0.636646\pi\)
0.852463 + 0.522787i \(0.175108\pi\)
\(548\) 0.671260 + 4.13043i 0.0286748 + 0.176443i
\(549\) −15.3693 + 6.54824i −0.655945 + 0.279472i
\(550\) −3.75558 + 2.37489i −0.160139 + 0.101265i
\(551\) −0.720868 + 0.813692i −0.0307100 + 0.0346644i
\(552\) 2.31116 + 28.6289i 0.0983695 + 1.21853i
\(553\) 18.9669 + 56.8129i 0.806557 + 2.41593i
\(554\) 13.0321 + 1.58238i 0.553680 + 0.0672289i
\(555\) −23.8309 17.9078i −1.01157 0.760143i
\(556\) 9.20876 11.2787i 0.390539 0.478323i
\(557\) −23.8016 19.4334i −1.00850 0.823419i −0.0241665 0.999708i \(-0.507693\pi\)
−0.984338 + 0.176289i \(0.943591\pi\)
\(558\) 2.15571 + 3.12308i 0.0912584 + 0.132211i
\(559\) −1.60929 + 30.8381i −0.0680659 + 1.30431i
\(560\) −7.20122 + 10.4328i −0.304307 + 0.440865i
\(561\) 25.4210 7.36329i 1.07328 0.310878i
\(562\) −11.3337 7.16697i −0.478082 0.302321i
\(563\) 6.43685 + 1.04609i 0.271281 + 0.0440874i 0.294530 0.955642i \(-0.404837\pi\)
−0.0232490 + 0.999730i \(0.507401\pi\)
\(564\) 22.5764 + 8.56209i 0.950636 + 0.360529i
\(565\) 9.05233 21.2466i 0.380835 0.893852i
\(566\) −5.51011 5.29254i −0.231607 0.222462i
\(567\) −22.7187 + 43.2869i −0.954096 + 1.81788i
\(568\) −30.6467 + 2.47406i −1.28591 + 0.103809i
\(569\) 9.13671 + 31.5436i 0.383031 + 1.32238i 0.888240 + 0.459379i \(0.151928\pi\)
−0.505209 + 0.862997i \(0.668585\pi\)
\(570\) −2.93335 + 2.81752i −0.122865 + 0.118013i
\(571\) −4.53435 11.9561i −0.189756 0.500347i 0.806048 0.591850i \(-0.201602\pi\)
−0.995805 + 0.0915030i \(0.970833\pi\)
\(572\) −1.51537 6.47782i −0.0633609 0.270851i
\(573\) 8.71246 22.9729i 0.363968 0.959705i
\(574\) 9.08530 + 21.3240i 0.379213 + 0.890045i
\(575\) −0.401079 9.95268i −0.0167262 0.415055i
\(576\) 10.3102 + 12.6277i 0.429592 + 0.526155i
\(577\) 46.4625i 1.93426i 0.254282 + 0.967130i \(0.418161\pi\)
−0.254282 + 0.967130i \(0.581839\pi\)
\(578\) −16.6661 + 13.6075i −0.693220 + 0.565997i
\(579\) −48.6961 14.1050i −2.02374 0.586184i
\(580\) −3.02412 3.41352i −0.125570 0.141739i
\(581\) −29.5492 + 30.7640i −1.22591 + 1.27630i
\(582\) 24.8656 + 8.30134i 1.03071 + 0.344102i
\(583\) −2.52243 3.35674i −0.104468 0.139022i
\(584\) −0.412976 3.40116i −0.0170891 0.140741i
\(585\) 19.6101 + 11.6342i 0.810780 + 0.481015i
\(586\) −0.904158 + 7.44642i −0.0373504 + 0.307609i
\(587\) 2.16623 1.25067i 0.0894098 0.0516208i −0.454628 0.890681i \(-0.650228\pi\)
0.544038 + 0.839060i \(0.316895\pi\)
\(588\) 26.4961 19.9105i 1.09268 0.821097i
\(589\) −0.0425099 + 1.05487i −0.00175159 + 0.0434652i
\(590\) −22.5119 + 8.53765i −0.926802 + 0.351490i
\(591\) −2.83388 + 0.578541i −0.116570 + 0.0237980i
\(592\) 4.68738 0.956935i 0.192650 0.0393298i
\(593\) −29.8984 + 11.3390i −1.22778 + 0.465636i −0.881361 0.472443i \(-0.843372\pi\)
−0.346420 + 0.938079i \(0.612603\pi\)
\(594\) 0.116127 2.88166i 0.00476475 0.118236i
\(595\) −62.4107 + 46.8986i −2.55859 + 1.92266i
\(596\) 14.1101 8.14646i 0.577972 0.333692i
\(597\) −0.908594 + 7.48295i −0.0371863 + 0.306257i
\(598\) −14.3277 4.33491i −0.585903 0.177268i
\(599\) −0.220248 1.81390i −0.00899908 0.0741141i 0.987517 0.157510i \(-0.0503466\pi\)
−0.996517 + 0.0833956i \(0.973423\pi\)
\(600\) −9.98987 13.2941i −0.407835 0.542730i
\(601\) 32.9008 + 10.9839i 1.34205 + 0.448042i 0.894840 0.446386i \(-0.147289\pi\)
0.447210 + 0.894429i \(0.352418\pi\)
\(602\) 27.4651 28.5942i 1.11939 1.16541i
\(603\) 15.0072 + 16.9397i 0.611141 + 0.689836i
\(604\) 18.5704 + 5.37898i 0.755618 + 0.218867i
\(605\) 15.9795 13.0468i 0.649658 0.530430i
\(606\) 28.9428i 1.17572i
\(607\) 16.1592 + 19.7914i 0.655882 + 0.803310i 0.990275 0.139124i \(-0.0444286\pi\)
−0.334393 + 0.942434i \(0.608531\pi\)
\(608\) 0.130148 + 3.22960i 0.00527821 + 0.130977i
\(609\) −7.02519 16.4887i −0.284675 0.668157i
\(610\) −6.93986 + 18.2989i −0.280987 + 0.740901i
\(611\) −25.3992 + 27.9937i −1.02754 + 1.13250i
\(612\) 5.10470 + 13.4600i 0.206345 + 0.544088i
\(613\) 11.3199 10.8729i 0.457205 0.439151i −0.428401 0.903589i \(-0.640923\pi\)
0.885606 + 0.464437i \(0.153743\pi\)
\(614\) −4.52880 15.6352i −0.182767 0.630986i
\(615\) −31.3303 + 2.52924i −1.26336 + 0.101989i
\(616\) −11.9234 + 22.7182i −0.480408 + 0.915341i
\(617\) −1.95558 1.87836i −0.0787288 0.0756201i 0.652327 0.757937i \(-0.273793\pi\)
−0.731056 + 0.682317i \(0.760972\pi\)
\(618\) −5.59189 + 13.1246i −0.224939 + 0.527950i
\(619\) 3.74749 + 1.42123i 0.150624 + 0.0571242i 0.428765 0.903416i \(-0.358949\pi\)
−0.278141 + 0.960540i \(0.589718\pi\)
\(620\) −4.37153 0.710443i −0.175565 0.0285321i
\(621\) 5.46411 + 3.45529i 0.219267 + 0.138656i
\(622\) −8.60445 + 2.49231i −0.345007 + 0.0999325i
\(623\) 22.0383 31.9280i 0.882946 1.27917i
\(624\) −7.98167 + 2.55986i −0.319523 + 0.102476i
\(625\) −17.7465 25.7103i −0.709860 1.02841i
\(626\) −16.9127 13.8088i −0.675969 0.551912i
\(627\) −1.74625 + 2.13877i −0.0697385 + 0.0854142i
\(628\) 0.0418808 + 0.0314714i 0.00167123 + 0.00125585i
\(629\) 29.2470 + 3.55123i 1.16616 + 0.141597i
\(630\) −9.27070 27.7691i −0.369353 1.10635i
\(631\) −0.532311 6.59386i −0.0211910 0.262497i −0.998674 0.0514828i \(-0.983605\pi\)
0.977483 0.211015i \(-0.0676768\pi\)
\(632\) 25.7712 29.0897i 1.02513 1.15713i
\(633\) 27.6706 17.4978i 1.09981 0.695475i
\(634\) −13.2811 + 5.65854i −0.527459 + 0.224729i
\(635\) −9.01857 55.4935i −0.357891 2.20219i
\(636\) 3.91573 3.46904i 0.155269 0.137556i
\(637\) 13.8432 + 50.0040i 0.548486 + 1.98123i
\(638\) 2.32598 + 2.06064i 0.0920866 + 0.0815816i
\(639\) 12.7290 20.1292i 0.503550 0.796301i
\(640\) −8.04628 0.649563i −0.318057 0.0256762i
\(641\) 0.270156 + 1.32331i 0.0106705 + 0.0522677i 0.984777 0.173821i \(-0.0556113\pi\)
−0.974107 + 0.226088i \(0.927406\pi\)
\(642\) 3.51046 + 14.2425i 0.138547 + 0.562106i
\(643\) −2.46907 + 15.1928i −0.0973705 + 0.599145i 0.891806 + 0.452417i \(0.149438\pi\)
−0.989177 + 0.146728i \(0.953126\pi\)
\(644\) −10.2337 16.1832i −0.403263 0.637709i
\(645\) 24.9862 + 47.6072i 0.983830 + 1.87453i
\(646\) 1.11840 3.86117i 0.0440029 0.151916i
\(647\) −1.19331 + 5.84524i −0.0469140 + 0.229800i −0.996487 0.0837455i \(-0.973312\pi\)
0.949573 + 0.313546i \(0.101517\pi\)
\(648\) 31.6946 1.27725i 1.24508 0.0501751i
\(649\) −14.4723 + 7.59564i −0.568087 + 0.298155i
\(650\) 8.35252 2.31232i 0.327613 0.0906965i
\(651\) −15.4123 8.08898i −0.604054 0.317032i
\(652\) −17.6968 8.39723i −0.693059 0.328861i
\(653\) −1.21391 2.10256i −0.0475041 0.0822796i 0.841296 0.540575i \(-0.181793\pi\)
−0.888800 + 0.458296i \(0.848460\pi\)
\(654\) 13.5163 23.4110i 0.528530 0.915441i
\(655\) −14.4722 + 9.98945i −0.565476 + 0.390320i
\(656\) 3.03044 4.03278i 0.118319 0.157454i
\(657\) 2.29834 + 1.32695i 0.0896668 + 0.0517692i
\(658\) 48.1776 5.84982i 1.87816 0.228050i
\(659\) −4.93522 10.4008i −0.192249 0.405156i 0.784321 0.620355i \(-0.213011\pi\)
−0.976570 + 0.215199i \(0.930960\pi\)
\(660\) −8.02392 8.35378i −0.312331 0.325171i
\(661\) 2.55374 31.6337i 0.0993289 1.23041i −0.734586 0.678516i \(-0.762623\pi\)
0.833915 0.551894i \(-0.186095\pi\)
\(662\) 24.0678 5.93219i 0.935424 0.230561i
\(663\) −51.6163 0.612256i −2.00461 0.0237781i
\(664\) 26.8737 + 6.62376i 1.04290 + 0.257052i
\(665\) 2.57912 7.72542i 0.100014 0.299579i
\(666\) −4.73633 + 9.98161i −0.183529 + 0.386779i
\(667\) −6.60743 + 2.20588i −0.255841 + 0.0854121i
\(668\) −0.240384 0.165925i −0.00930074 0.00641984i
\(669\) 28.3750 13.4641i 1.09704 0.520553i
\(670\) 26.4901 + 1.06752i 1.02340 + 0.0412417i
\(671\) −3.17946 + 12.8996i −0.122742 + 0.497983i
\(672\) −49.0259 20.8880i −1.89122 0.805772i
\(673\) −35.4003 + 5.75311i −1.36458 + 0.221766i −0.798207 0.602383i \(-0.794218\pi\)
−0.566373 + 0.824149i \(0.691654\pi\)
\(674\) −30.9462 6.31770i −1.19200 0.243349i
\(675\) −3.74302 −0.144069
\(676\) −0.829862 + 12.9491i −0.0319178 + 0.498041i
\(677\) 8.15107 0.313271 0.156636 0.987656i \(-0.449935\pi\)
0.156636 + 0.987656i \(0.449935\pi\)
\(678\) −19.2103 3.92180i −0.737766 0.150616i
\(679\) −51.8137 + 8.42054i −1.98843 + 0.323151i
\(680\) 46.6013 + 19.8550i 1.78708 + 0.761403i
\(681\) −11.4496 + 46.4529i −0.438750 + 1.78008i
\(682\) 3.01541 + 0.121517i 0.115466 + 0.00465312i
\(683\) −16.7680 + 7.95653i −0.641611 + 0.304448i −0.721561 0.692351i \(-0.756575\pi\)
0.0799501 + 0.996799i \(0.474524\pi\)
\(684\) −1.23598 0.853139i −0.0472591 0.0326206i
\(685\) −10.8189 + 3.61188i −0.413369 + 0.138003i
\(686\) 14.6663 30.9086i 0.559962 1.18010i
\(687\) 2.16389 6.48165i 0.0825577 0.247290i
\(688\) −8.37802 2.06500i −0.319409 0.0787273i
\(689\) 2.81303 + 7.69128i 0.107168 + 0.293014i
\(690\) −25.3056 + 6.23727i −0.963368 + 0.237449i
\(691\) −1.74410 + 21.6045i −0.0663486 + 0.821875i 0.874931 + 0.484248i \(0.160907\pi\)
−0.941280 + 0.337628i \(0.890375\pi\)
\(692\) −3.53779 3.68322i −0.134486 0.140015i
\(693\) −8.51982 17.9551i −0.323641 0.682060i
\(694\) −12.3486 + 1.49939i −0.468747 + 0.0569162i
\(695\) 34.3702 + 19.8436i 1.30374 + 0.752712i
\(696\) −6.98628 + 9.29705i −0.264814 + 0.352404i
\(697\) 25.5665 17.6473i 0.968401 0.668439i
\(698\) −4.36334 + 7.55752i −0.165155 + 0.286056i
\(699\) 9.40022 + 16.2817i 0.355549 + 0.615829i
\(700\) 10.0155 + 4.75241i 0.378550 + 0.179624i
\(701\) 15.0172 + 7.88166i 0.567194 + 0.297686i 0.723839 0.689969i \(-0.242376\pi\)
−0.156646 + 0.987655i \(0.550068\pi\)
\(702\) −1.84443 + 5.31405i −0.0696135 + 0.200566i
\(703\) −2.72159 + 1.42840i −0.102647 + 0.0538732i
\(704\) 12.9538 0.522022i 0.488216 0.0196745i
\(705\) −13.1642 + 64.4824i −0.495792 + 2.42855i
\(706\) −1.98509 + 6.85334i −0.0747100 + 0.257929i
\(707\) −26.9337 51.3179i −1.01295 1.93001i
\(708\) −10.8836 17.2111i −0.409033 0.646833i
\(709\) 5.29870 32.6042i 0.198997 1.22448i −0.674732 0.738063i \(-0.735741\pi\)
0.873729 0.486414i \(-0.161695\pi\)
\(710\) −6.67689 27.0892i −0.250579 1.01664i
\(711\) 6.02152 + 29.4953i 0.225824 + 1.10616i
\(712\) −25.0910 2.02555i −0.940325 0.0759109i
\(713\) −3.61567 + 5.71772i −0.135408 + 0.214130i
\(714\) 49.6088 + 43.9495i 1.85656 + 1.64477i
\(715\) 16.7652 6.90920i 0.626983 0.258389i
\(716\) 19.3410 17.1347i 0.722808 0.640352i
\(717\) 3.44912 + 21.2233i 0.128810 + 0.792598i
\(718\) −7.25319 + 3.09030i −0.270687 + 0.115329i
\(719\) 26.3614 16.6699i 0.983115 0.621684i 0.0567803 0.998387i \(-0.481917\pi\)
0.926334 + 0.376703i \(0.122942\pi\)
\(720\) −4.22502 + 4.76907i −0.157457 + 0.177733i
\(721\) −2.29872 28.4747i −0.0856087 1.06045i
\(722\) −5.88952 17.6413i −0.219185 0.656540i
\(723\) 21.9542 + 2.66573i 0.816487 + 0.0991394i
\(724\) 4.67403 + 3.51231i 0.173709 + 0.130534i
\(725\) 2.55069 3.12403i 0.0947304 0.116024i
\(726\) −13.5660 11.0763i −0.503481 0.411079i
\(727\) −21.5731 31.2540i −0.800102 1.15915i −0.984342 0.176267i \(-0.943598\pi\)
0.184240 0.982881i \(-0.441018\pi\)
\(728\) 35.0911 35.6768i 1.30056 1.32227i
\(729\) −7.82846 + 11.3415i −0.289943 + 0.420055i
\(730\) 2.98620 0.864965i 0.110524 0.0320138i
\(731\) −44.9124 28.4009i −1.66114 1.05044i
\(732\) −16.3383 2.65523i −0.603880 0.0981400i
\(733\) −7.50367 2.84577i −0.277154 0.105111i 0.212111 0.977245i \(-0.431966\pi\)
−0.489266 + 0.872135i \(0.662735\pi\)
\(734\) −11.6588 + 27.3642i −0.430334 + 1.01003i
\(735\) 65.1516 + 62.5790i 2.40315 + 2.30826i
\(736\) −9.62523 + 18.3393i −0.354791 + 0.675997i
\(737\) 17.9392 1.44820i 0.660798 0.0533451i
\(738\) 3.24117 + 11.1898i 0.119309 + 0.411902i
\(739\) −9.40787 + 9.03638i −0.346074 + 0.332409i −0.845527 0.533932i \(-0.820714\pi\)
0.499453 + 0.866341i \(0.333534\pi\)
\(740\) −4.57239 12.0564i −0.168084 0.443202i
\(741\) 4.46803 3.00644i 0.164137 0.110444i
\(742\) 3.72862 9.83157i 0.136882 0.360928i
\(743\) −1.94200 4.55804i −0.0712450 0.167218i 0.880550 0.473954i \(-0.157174\pi\)
−0.951795 + 0.306735i \(0.900763\pi\)
\(744\) 0.454763 + 11.2848i 0.0166724 + 0.413722i
\(745\) 28.0864 + 34.3995i 1.02900 + 1.26030i
\(746\) 7.65155i 0.280143i
\(747\) −16.6070 + 13.5592i −0.607620 + 0.496106i
\(748\) 10.9961 + 3.18505i 0.402056 + 0.116457i
\(749\) −19.4781 21.9863i −0.711715 0.803360i
\(750\) −11.3109 + 11.7759i −0.413015 + 0.429994i
\(751\) 30.9052 + 10.3177i 1.12775 + 0.376497i 0.818512 0.574489i \(-0.194799\pi\)
0.309234 + 0.950986i \(0.399927\pi\)
\(752\) −6.34511 8.44380i −0.231382 0.307914i
\(753\) −1.75600 14.4620i −0.0639923 0.527024i
\(754\) −3.17837 5.16069i −0.115749 0.187941i
\(755\) −6.35196 + 52.3131i −0.231171 + 1.90387i
\(756\) −6.23120 + 3.59758i −0.226626 + 0.130843i
\(757\) 32.4159 24.3589i 1.17817 0.885341i 0.182967 0.983119i \(-0.441430\pi\)
0.995208 + 0.0977781i \(0.0311735\pi\)
\(758\) −0.126701 + 3.14406i −0.00460200 + 0.114197i
\(759\) −16.5432 + 6.27400i −0.600479 + 0.227732i
\(760\) −5.17785 + 1.05707i −0.187820 + 0.0383438i
\(761\) −23.1460 + 4.72530i −0.839043 + 0.171292i −0.600284 0.799787i \(-0.704946\pi\)
−0.238759 + 0.971079i \(0.576741\pi\)
\(762\) −44.6283 + 16.9253i −1.61671 + 0.613138i
\(763\) −2.17965 + 54.0875i −0.0789087 + 1.95810i
\(764\) 8.49626 6.38453i 0.307384 0.230984i
\(765\) −33.9805 + 19.6186i −1.22857 + 0.709313i
\(766\) −3.90455 + 32.1569i −0.141077 + 1.16187i