Properties

Label 280.2.ba.b.59.1
Level $280$
Weight $2$
Character 280.59
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 280.59
Dual form 280.2.ba.b.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41178 - 0.0828556i) q^{2} +(0.653375 - 1.13168i) q^{3} +(1.98627 + 0.233948i) q^{4} +(1.67181 - 1.48495i) q^{5} +(-1.01619 + 1.54355i) q^{6} +(1.03631 - 2.43435i) q^{7} +(-2.78480 - 0.494858i) q^{8} +(0.646203 + 1.11926i) q^{9} +O(q^{10})\) \(q+(-1.41178 - 0.0828556i) q^{2} +(0.653375 - 1.13168i) q^{3} +(1.98627 + 0.233948i) q^{4} +(1.67181 - 1.48495i) q^{5} +(-1.01619 + 1.54355i) q^{6} +(1.03631 - 2.43435i) q^{7} +(-2.78480 - 0.494858i) q^{8} +(0.646203 + 1.11926i) q^{9} +(-2.48327 + 1.95791i) q^{10} +(0.168671 - 0.292146i) q^{11} +(1.56253 - 2.09496i) q^{12} -1.29865i q^{13} +(-1.66474 + 3.35092i) q^{14} +(-0.588166 - 2.86217i) q^{15} +(3.89054 + 0.929369i) q^{16} +(-3.41832 + 5.92071i) q^{17} +(-0.819562 - 1.63369i) q^{18} +(-0.551990 + 0.318691i) q^{19} +(3.66806 - 2.55839i) q^{20} +(-2.07781 - 2.76331i) q^{21} +(-0.262332 + 0.398472i) q^{22} +(-1.51602 - 2.62582i) q^{23} +(-2.37954 + 2.82817i) q^{24} +(0.589869 - 4.96508i) q^{25} +(-0.107601 + 1.83342i) q^{26} +5.60910 q^{27} +(2.62790 - 4.59284i) q^{28} -5.90687i q^{29} +(0.593216 + 4.08950i) q^{30} +(1.08115 - 1.87261i) q^{31} +(-5.41559 - 1.63442i) q^{32} +(-0.220410 - 0.381762i) q^{33} +(5.31650 - 8.07554i) q^{34} +(-1.88238 - 5.60862i) q^{35} +(1.02169 + 2.37432i) q^{36} +(4.30421 + 7.45510i) q^{37} +(0.805696 - 0.404188i) q^{38} +(-1.46966 - 0.848507i) q^{39} +(-5.39048 + 3.30797i) q^{40} +5.28231i q^{41} +(2.70446 + 4.07335i) q^{42} -10.6010i q^{43} +(0.403372 - 0.540820i) q^{44} +(2.74236 + 0.911602i) q^{45} +(1.92272 + 3.83270i) q^{46} +(-7.78384 + 4.49400i) q^{47} +(3.59373 - 3.79561i) q^{48} +(-4.85214 - 5.04547i) q^{49} +(-1.24415 + 6.96075i) q^{50} +(4.46689 + 7.73688i) q^{51} +(0.303818 - 2.57948i) q^{52} +(-3.63168 + 6.29026i) q^{53} +(-7.91884 - 0.464745i) q^{54} +(-0.151837 - 0.738878i) q^{55} +(-4.09056 + 6.26636i) q^{56} +0.832900i q^{57} +(-0.489417 + 8.33922i) q^{58} +(7.50354 + 4.33217i) q^{59} +(-0.498655 - 5.82265i) q^{60} +(3.97207 + 6.87982i) q^{61} +(-1.68151 + 2.55414i) q^{62} +(3.39433 - 0.413194i) q^{63} +(7.51023 + 2.75616i) q^{64} +(-1.92843 - 2.17110i) q^{65} +(0.279541 + 0.557227i) q^{66} +(10.9447 + 6.31895i) q^{67} +(-8.17485 + 10.9604i) q^{68} -3.96211 q^{69} +(2.19281 + 8.07413i) q^{70} -3.53507i q^{71} +(-1.24567 - 3.43668i) q^{72} +(-5.93618 + 10.2818i) q^{73} +(-5.45891 - 10.8816i) q^{74} +(-5.23347 - 3.91160i) q^{75} +(-1.17096 + 0.503870i) q^{76} +(-0.536392 - 0.713356i) q^{77} +(2.00454 + 1.31968i) q^{78} +(-8.96466 + 5.17575i) q^{79} +(7.88428 - 4.22351i) q^{80} +(1.72624 - 2.98993i) q^{81} +(0.437669 - 7.45749i) q^{82} -3.76821 q^{83} +(-3.48061 - 5.97478i) q^{84} +(3.07716 + 14.9743i) q^{85} +(-0.878353 + 14.9663i) q^{86} +(-6.68467 - 3.85940i) q^{87} +(-0.614285 + 0.730100i) q^{88} +(-6.43915 + 3.71765i) q^{89} +(-3.79609 - 1.51421i) q^{90} +(-3.16138 - 1.34580i) q^{91} +(-2.39691 - 5.57025i) q^{92} +(-1.41279 - 2.44703i) q^{93} +(11.3615 - 5.69962i) q^{94} +(-0.449580 + 1.35247i) q^{95} +(-5.38805 + 5.06082i) q^{96} +6.03558 q^{97} +(6.43213 + 7.52514i) q^{98} +0.435982 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41178 0.0828556i −0.998282 0.0585877i
\(3\) 0.653375 1.13168i 0.377226 0.653375i −0.613431 0.789748i \(-0.710211\pi\)
0.990658 + 0.136373i \(0.0435446\pi\)
\(4\) 1.98627 + 0.233948i 0.993135 + 0.116974i
\(5\) 1.67181 1.48495i 0.747654 0.664088i
\(6\) −1.01619 + 1.54355i −0.414858 + 0.630152i
\(7\) 1.03631 2.43435i 0.391687 0.920099i
\(8\) −2.78480 0.494858i −0.984576 0.174959i
\(9\) 0.646203 + 1.11926i 0.215401 + 0.373085i
\(10\) −2.48327 + 1.95791i −0.785277 + 0.619144i
\(11\) 0.168671 0.292146i 0.0508561 0.0880853i −0.839477 0.543396i \(-0.817138\pi\)
0.890333 + 0.455310i \(0.150472\pi\)
\(12\) 1.56253 2.09496i 0.451064 0.604764i
\(13\) 1.29865i 0.360182i −0.983650 0.180091i \(-0.942361\pi\)
0.983650 0.180091i \(-0.0576391\pi\)
\(14\) −1.66474 + 3.35092i −0.444920 + 0.895570i
\(15\) −0.588166 2.86217i −0.151864 0.739010i
\(16\) 3.89054 + 0.929369i 0.972634 + 0.232342i
\(17\) −3.41832 + 5.92071i −0.829065 + 1.43598i 0.0697076 + 0.997567i \(0.477793\pi\)
−0.898773 + 0.438415i \(0.855540\pi\)
\(18\) −0.819562 1.63369i −0.193173 0.385064i
\(19\) −0.551990 + 0.318691i −0.126635 + 0.0731128i −0.561979 0.827151i \(-0.689960\pi\)
0.435344 + 0.900264i \(0.356627\pi\)
\(20\) 3.66806 2.55839i 0.820203 0.572073i
\(21\) −2.07781 2.76331i −0.453415 0.603003i
\(22\) −0.262332 + 0.398472i −0.0559294 + 0.0849545i
\(23\) −1.51602 2.62582i −0.316111 0.547521i 0.663562 0.748121i \(-0.269044\pi\)
−0.979673 + 0.200601i \(0.935711\pi\)
\(24\) −2.37954 + 2.82817i −0.485721 + 0.577298i
\(25\) 0.589869 4.96508i 0.117974 0.993017i
\(26\) −0.107601 + 1.83342i −0.0211022 + 0.359563i
\(27\) 5.60910 1.07947
\(28\) 2.62790 4.59284i 0.496626 0.867965i
\(29\) 5.90687i 1.09688i −0.836191 0.548439i \(-0.815222\pi\)
0.836191 0.548439i \(-0.184778\pi\)
\(30\) 0.593216 + 4.08950i 0.108306 + 0.746638i
\(31\) 1.08115 1.87261i 0.194181 0.336331i −0.752451 0.658648i \(-0.771129\pi\)
0.946632 + 0.322318i \(0.104462\pi\)
\(32\) −5.41559 1.63442i −0.957351 0.288928i
\(33\) −0.220410 0.381762i −0.0383685 0.0664562i
\(34\) 5.31650 8.07554i 0.911772 1.38494i
\(35\) −1.88238 5.60862i −0.318180 0.948030i
\(36\) 1.02169 + 2.37432i 0.170281 + 0.395720i
\(37\) 4.30421 + 7.45510i 0.707607 + 1.22561i 0.965742 + 0.259503i \(0.0835587\pi\)
−0.258135 + 0.966109i \(0.583108\pi\)
\(38\) 0.805696 0.404188i 0.130701 0.0655680i
\(39\) −1.46966 0.848507i −0.235334 0.135870i
\(40\) −5.39048 + 3.30797i −0.852310 + 0.523036i
\(41\) 5.28231i 0.824959i 0.910967 + 0.412479i \(0.135337\pi\)
−0.910967 + 0.412479i \(0.864663\pi\)
\(42\) 2.70446 + 4.07335i 0.417307 + 0.628532i
\(43\) 10.6010i 1.61664i −0.588744 0.808320i \(-0.700377\pi\)
0.588744 0.808320i \(-0.299623\pi\)
\(44\) 0.403372 0.540820i 0.0608107 0.0815318i
\(45\) 2.74236 + 0.911602i 0.408807 + 0.135894i
\(46\) 1.92272 + 3.83270i 0.283490 + 0.565100i
\(47\) −7.78384 + 4.49400i −1.13539 + 0.655517i −0.945285 0.326247i \(-0.894216\pi\)
−0.190105 + 0.981764i \(0.560883\pi\)
\(48\) 3.59373 3.79561i 0.518710 0.547849i
\(49\) −4.85214 5.04547i −0.693163 0.720781i
\(50\) −1.24415 + 6.96075i −0.175950 + 0.984399i
\(51\) 4.46689 + 7.73688i 0.625490 + 1.08338i
\(52\) 0.303818 2.57948i 0.0421319 0.357709i
\(53\) −3.63168 + 6.29026i −0.498850 + 0.864034i −0.999999 0.00132737i \(-0.999577\pi\)
0.501149 + 0.865361i \(0.332911\pi\)
\(54\) −7.91884 0.464745i −1.07762 0.0632438i
\(55\) −0.151837 0.738878i −0.0204737 0.0996303i
\(56\) −4.09056 + 6.26636i −0.546625 + 0.837378i
\(57\) 0.832900i 0.110320i
\(58\) −0.489417 + 8.33922i −0.0642636 + 1.09499i
\(59\) 7.50354 + 4.33217i 0.976877 + 0.564000i 0.901326 0.433142i \(-0.142595\pi\)
0.0755513 + 0.997142i \(0.475928\pi\)
\(60\) −0.498655 5.82265i −0.0643761 0.751701i
\(61\) 3.97207 + 6.87982i 0.508571 + 0.880871i 0.999951 + 0.00992531i \(0.00315937\pi\)
−0.491380 + 0.870945i \(0.663507\pi\)
\(62\) −1.68151 + 2.55414i −0.213552 + 0.324376i
\(63\) 3.39433 0.413194i 0.427645 0.0520575i
\(64\) 7.51023 + 2.75616i 0.938779 + 0.344520i
\(65\) −1.92843 2.17110i −0.239192 0.269291i
\(66\) 0.279541 + 0.557227i 0.0344091 + 0.0685899i
\(67\) 10.9447 + 6.31895i 1.33711 + 0.771983i 0.986378 0.164492i \(-0.0525985\pi\)
0.350735 + 0.936475i \(0.385932\pi\)
\(68\) −8.17485 + 10.9604i −0.991346 + 1.32915i
\(69\) −3.96211 −0.476981
\(70\) 2.19281 + 8.07413i 0.262091 + 0.965043i
\(71\) 3.53507i 0.419536i −0.977751 0.209768i \(-0.932729\pi\)
0.977751 0.209768i \(-0.0672708\pi\)
\(72\) −1.24567 3.43668i −0.146804 0.405017i
\(73\) −5.93618 + 10.2818i −0.694777 + 1.20339i 0.275479 + 0.961307i \(0.411164\pi\)
−0.970256 + 0.242082i \(0.922170\pi\)
\(74\) −5.45891 10.8816i −0.634586 1.26496i
\(75\) −5.23347 3.91160i −0.604309 0.451673i
\(76\) −1.17096 + 0.503870i −0.134318 + 0.0577979i
\(77\) −0.536392 0.713356i −0.0611275 0.0812945i
\(78\) 2.00454 + 1.31968i 0.226969 + 0.149424i
\(79\) −8.96466 + 5.17575i −1.00860 + 0.582317i −0.910782 0.412887i \(-0.864521\pi\)
−0.0978208 + 0.995204i \(0.531187\pi\)
\(80\) 7.88428 4.22351i 0.881490 0.472203i
\(81\) 1.72624 2.98993i 0.191804 0.332214i
\(82\) 0.437669 7.45749i 0.0483325 0.823542i
\(83\) −3.76821 −0.413615 −0.206807 0.978382i \(-0.566307\pi\)
−0.206807 + 0.978382i \(0.566307\pi\)
\(84\) −3.48061 5.97478i −0.379766 0.651902i
\(85\) 3.07716 + 14.9743i 0.333765 + 1.62419i
\(86\) −0.878353 + 14.9663i −0.0947153 + 1.61386i
\(87\) −6.68467 3.85940i −0.716672 0.413771i
\(88\) −0.614285 + 0.730100i −0.0654830 + 0.0778289i
\(89\) −6.43915 + 3.71765i −0.682549 + 0.394070i −0.800815 0.598912i \(-0.795600\pi\)
0.118266 + 0.992982i \(0.462266\pi\)
\(90\) −3.79609 1.51421i −0.400143 0.159611i
\(91\) −3.16138 1.34580i −0.331403 0.141078i
\(92\) −2.39691 5.57025i −0.249895 0.580739i
\(93\) −1.41279 2.44703i −0.146500 0.253745i
\(94\) 11.3615 5.69962i 1.17184 0.587871i
\(95\) −0.449580 + 1.35247i −0.0461259 + 0.138760i
\(96\) −5.38805 + 5.06082i −0.549916 + 0.516518i
\(97\) 6.03558 0.612820 0.306410 0.951900i \(-0.400872\pi\)
0.306410 + 0.951900i \(0.400872\pi\)
\(98\) 6.43213 + 7.52514i 0.649743 + 0.760154i
\(99\) 0.435982 0.0438178
\(100\) 2.33321 9.72400i 0.233321 0.972400i
\(101\) 0.757059 1.31127i 0.0753302 0.130476i −0.825900 0.563817i \(-0.809332\pi\)
0.901230 + 0.433341i \(0.142666\pi\)
\(102\) −5.66524 11.2929i −0.560943 1.11817i
\(103\) 6.60049 3.81079i 0.650366 0.375489i −0.138231 0.990400i \(-0.544142\pi\)
0.788596 + 0.614911i \(0.210808\pi\)
\(104\) −0.642649 + 3.61649i −0.0630169 + 0.354626i
\(105\) −7.57706 1.53428i −0.739445 0.149731i
\(106\) 5.64834 8.57958i 0.548615 0.833323i
\(107\) 1.68270 0.971509i 0.162673 0.0939193i −0.416453 0.909157i \(-0.636727\pi\)
0.579126 + 0.815238i \(0.303394\pi\)
\(108\) 11.1412 + 1.31224i 1.07206 + 0.126270i
\(109\) 1.32933 + 0.767488i 0.127326 + 0.0735120i 0.562310 0.826926i \(-0.309913\pi\)
−0.434984 + 0.900438i \(0.643246\pi\)
\(110\) 0.153140 + 1.05572i 0.0146014 + 0.100659i
\(111\) 11.2490 1.06771
\(112\) 6.29420 8.50782i 0.594746 0.803914i
\(113\) 6.74556i 0.634569i −0.948330 0.317285i \(-0.897229\pi\)
0.948330 0.317285i \(-0.102771\pi\)
\(114\) 0.0690104 1.17587i 0.00646342 0.110131i
\(115\) −6.43368 2.13865i −0.599944 0.199430i
\(116\) 1.38190 11.7326i 0.128306 1.08935i
\(117\) 1.45353 0.839193i 0.134378 0.0775834i
\(118\) −10.2344 6.73780i −0.942156 0.620265i
\(119\) 10.8707 + 14.4571i 0.996512 + 1.32528i
\(120\) 0.221555 + 8.26164i 0.0202251 + 0.754181i
\(121\) 5.44310 + 9.42773i 0.494827 + 0.857066i
\(122\) −5.03767 10.0419i −0.456089 0.909154i
\(123\) 5.97788 + 3.45133i 0.539007 + 0.311196i
\(124\) 2.58555 3.46657i 0.232189 0.311307i
\(125\) −6.38674 9.17658i −0.571247 0.820778i
\(126\) −4.82629 + 0.302101i −0.429960 + 0.0269133i
\(127\) 4.49296 0.398686 0.199343 0.979930i \(-0.436119\pi\)
0.199343 + 0.979930i \(0.436119\pi\)
\(128\) −10.3745 4.51337i −0.916982 0.398930i
\(129\) −11.9969 6.92644i −1.05627 0.609839i
\(130\) 2.54264 + 3.22490i 0.223004 + 0.282842i
\(131\) −4.26159 + 2.46043i −0.372336 + 0.214969i −0.674479 0.738294i \(-0.735632\pi\)
0.302142 + 0.953263i \(0.402298\pi\)
\(132\) −0.348482 0.809846i −0.0303314 0.0704881i
\(133\) 0.203777 + 1.67400i 0.0176697 + 0.145154i
\(134\) −14.9281 9.82783i −1.28959 0.848995i
\(135\) 9.37732 8.32921i 0.807072 0.716864i
\(136\) 12.4493 14.7964i 1.06752 1.26878i
\(137\) 14.2291 + 8.21516i 1.21567 + 0.701868i 0.963989 0.265942i \(-0.0856829\pi\)
0.251682 + 0.967810i \(0.419016\pi\)
\(138\) 5.59364 + 0.328283i 0.476162 + 0.0279453i
\(139\) 9.85042i 0.835502i −0.908562 0.417751i \(-0.862818\pi\)
0.908562 0.417751i \(-0.137182\pi\)
\(140\) −2.42679 11.5806i −0.205101 0.978741i
\(141\) 11.7451i 0.989113i
\(142\) −0.292900 + 4.99076i −0.0245797 + 0.418815i
\(143\) −0.379396 0.219044i −0.0317267 0.0183174i
\(144\) 1.47387 + 4.95507i 0.122823 + 0.412922i
\(145\) −8.77138 9.87513i −0.728423 0.820085i
\(146\) 9.23250 14.0238i 0.764087 1.16062i
\(147\) −8.88011 + 2.19448i −0.732419 + 0.180998i
\(148\) 6.80521 + 15.8148i 0.559385 + 1.29997i
\(149\) 12.5917 7.26981i 1.03155 0.595566i 0.114122 0.993467i \(-0.463595\pi\)
0.917428 + 0.397901i \(0.130261\pi\)
\(150\) 7.06444 + 5.95596i 0.576809 + 0.486302i
\(151\) −6.58039 3.79919i −0.535504 0.309174i 0.207751 0.978182i \(-0.433386\pi\)
−0.743255 + 0.669008i \(0.766719\pi\)
\(152\) 1.69489 0.614336i 0.137474 0.0498292i
\(153\) −8.83572 −0.714326
\(154\) 0.698164 + 1.05155i 0.0562597 + 0.0847361i
\(155\) −0.973249 4.73609i −0.0781732 0.380412i
\(156\) −2.72063 2.02919i −0.217825 0.162465i
\(157\) −15.6636 9.04339i −1.25009 0.721741i −0.278964 0.960302i \(-0.589991\pi\)
−0.971128 + 0.238561i \(0.923324\pi\)
\(158\) 13.0850 6.56427i 1.04099 0.522225i
\(159\) 4.74570 + 8.21979i 0.376358 + 0.651872i
\(160\) −11.4809 + 5.30943i −0.907641 + 0.419747i
\(161\) −7.96322 + 0.969367i −0.627589 + 0.0763968i
\(162\) −2.68480 + 4.07810i −0.210938 + 0.320406i
\(163\) −6.40416 + 3.69745i −0.501613 + 0.289606i −0.729379 0.684109i \(-0.760191\pi\)
0.227766 + 0.973716i \(0.426858\pi\)
\(164\) −1.23579 + 10.4921i −0.0964989 + 0.819295i
\(165\) −0.935378 0.310934i −0.0728191 0.0242062i
\(166\) 5.31990 + 0.312217i 0.412904 + 0.0242327i
\(167\) 18.7215i 1.44872i 0.689424 + 0.724358i \(0.257864\pi\)
−0.689424 + 0.724358i \(0.742136\pi\)
\(168\) 4.41883 + 8.72349i 0.340920 + 0.673032i
\(169\) 11.3135 0.870269
\(170\) −3.10359 21.3954i −0.238034 1.64096i
\(171\) −0.713395 0.411879i −0.0545547 0.0314971i
\(172\) 2.48009 21.0565i 0.189105 1.60554i
\(173\) 8.41281 4.85714i 0.639614 0.369281i −0.144852 0.989453i \(-0.546271\pi\)
0.784466 + 0.620172i \(0.212937\pi\)
\(174\) 9.11754 + 6.00250i 0.691199 + 0.455048i
\(175\) −11.4755 6.58129i −0.867465 0.497499i
\(176\) 0.927730 0.979847i 0.0699303 0.0738588i
\(177\) 9.80524 5.66106i 0.737007 0.425511i
\(178\) 9.39872 4.71499i 0.704464 0.353404i
\(179\) 1.19445 2.06885i 0.0892775 0.154633i −0.817928 0.575320i \(-0.804878\pi\)
0.907206 + 0.420687i \(0.138211\pi\)
\(180\) 5.23380 + 2.45226i 0.390104 + 0.182781i
\(181\) −9.87158 −0.733749 −0.366874 0.930270i \(-0.619572\pi\)
−0.366874 + 0.930270i \(0.619572\pi\)
\(182\) 4.35168 + 2.16192i 0.322568 + 0.160252i
\(183\) 10.3810 0.767385
\(184\) 2.92240 + 8.06259i 0.215442 + 0.594382i
\(185\) 18.2662 + 6.07197i 1.34296 + 0.446420i
\(186\) 1.79181 + 3.57174i 0.131382 + 0.261893i
\(187\) 1.15314 + 1.99730i 0.0843260 + 0.146057i
\(188\) −16.5122 + 7.10528i −1.20427 + 0.518206i
\(189\) 5.81274 13.6545i 0.422815 0.993220i
\(190\) 0.746769 1.87214i 0.0541763 0.135819i
\(191\) −11.1524 + 6.43881i −0.806956 + 0.465896i −0.845898 0.533345i \(-0.820935\pi\)
0.0389418 + 0.999241i \(0.487601\pi\)
\(192\) 8.02609 6.69836i 0.579233 0.483412i
\(193\) 4.28850 + 2.47597i 0.308693 + 0.178224i 0.646341 0.763048i \(-0.276298\pi\)
−0.337649 + 0.941272i \(0.609632\pi\)
\(194\) −8.52093 0.500081i −0.611767 0.0359037i
\(195\) −3.71697 + 0.763823i −0.266178 + 0.0546985i
\(196\) −8.45728 11.1568i −0.604092 0.796915i
\(197\) −6.56633 −0.467831 −0.233916 0.972257i \(-0.575154\pi\)
−0.233916 + 0.972257i \(0.575154\pi\)
\(198\) −0.615512 0.0361235i −0.0437425 0.00256719i
\(199\) −13.8184 + 23.9342i −0.979560 + 1.69665i −0.315577 + 0.948900i \(0.602198\pi\)
−0.663983 + 0.747748i \(0.731135\pi\)
\(200\) −4.09968 + 13.5349i −0.289891 + 0.957060i
\(201\) 14.3020 8.25729i 1.00879 0.582424i
\(202\) −1.17745 + 1.78850i −0.0828451 + 0.125838i
\(203\) −14.3794 6.12132i −1.00924 0.429632i
\(204\) 7.06242 + 16.4126i 0.494468 + 1.14911i
\(205\) 7.84395 + 8.83100i 0.547845 + 0.616784i
\(206\) −9.63421 + 4.83313i −0.671247 + 0.336740i
\(207\) 1.95931 3.39362i 0.136181 0.235873i
\(208\) 1.20693 5.05246i 0.0836854 0.350325i
\(209\) 0.215015i 0.0148729i
\(210\) 10.5700 + 2.79388i 0.729402 + 0.192796i
\(211\) −16.2713 −1.12016 −0.560080 0.828439i \(-0.689230\pi\)
−0.560080 + 0.828439i \(0.689230\pi\)
\(212\) −8.68510 + 11.6445i −0.596495 + 0.799749i
\(213\) −4.00056 2.30973i −0.274114 0.158260i
\(214\) −2.45611 + 1.23214i −0.167896 + 0.0842273i
\(215\) −15.7419 17.7228i −1.07359 1.20869i
\(216\) −15.6202 2.77571i −1.06282 0.188863i
\(217\) −3.43819 4.57250i −0.233399 0.310401i
\(218\) −1.81313 1.19367i −0.122801 0.0808455i
\(219\) 7.75709 + 13.4357i 0.524176 + 0.907899i
\(220\) −0.128729 1.50313i −0.00867893 0.101341i
\(221\) 7.68895 + 4.43921i 0.517214 + 0.298614i
\(222\) −15.8812 0.932046i −1.06588 0.0625548i
\(223\) 1.78444i 0.119495i 0.998214 + 0.0597475i \(0.0190296\pi\)
−0.998214 + 0.0597475i \(0.980970\pi\)
\(224\) −9.59097 + 11.4897i −0.640824 + 0.767688i
\(225\) 5.93838 2.54824i 0.395892 0.169882i
\(226\) −0.558908 + 9.52328i −0.0371780 + 0.633479i
\(227\) −10.5973 + 18.3551i −0.703368 + 1.21827i 0.263909 + 0.964548i \(0.414988\pi\)
−0.967277 + 0.253722i \(0.918345\pi\)
\(228\) −0.194856 + 1.65436i −0.0129046 + 0.109563i
\(229\) −4.07746 7.06236i −0.269446 0.466694i 0.699273 0.714855i \(-0.253507\pi\)
−0.968719 + 0.248161i \(0.920174\pi\)
\(230\) 8.90577 + 3.55238i 0.587229 + 0.234237i
\(231\) −1.15775 + 0.140934i −0.0761746 + 0.00927279i
\(232\) −2.92306 + 16.4494i −0.191908 + 1.07996i
\(233\) 23.4709 13.5509i 1.53763 0.887750i 0.538652 0.842528i \(-0.318934\pi\)
0.998977 0.0452221i \(-0.0143995\pi\)
\(234\) −2.12160 + 1.06433i −0.138693 + 0.0695772i
\(235\) −6.33971 + 19.0717i −0.413557 + 1.24410i
\(236\) 13.8905 + 10.3603i 0.904197 + 0.674398i
\(237\) 13.5268i 0.878661i
\(238\) −14.1492 21.3110i −0.917155 1.38138i
\(239\) 18.6789i 1.20824i −0.796894 0.604119i \(-0.793525\pi\)
0.796894 0.604119i \(-0.206475\pi\)
\(240\) 0.371735 11.6820i 0.0239954 0.754071i
\(241\) −17.4676 10.0849i −1.12518 0.649625i −0.182465 0.983212i \(-0.558408\pi\)
−0.942719 + 0.333587i \(0.891741\pi\)
\(242\) −6.90334 13.7609i −0.443764 0.884585i
\(243\) 6.15789 + 10.6658i 0.395029 + 0.684210i
\(244\) 6.28007 + 14.5944i 0.402040 + 0.934313i
\(245\) −15.6041 1.22987i −0.996908 0.0785736i
\(246\) −8.15351 5.36783i −0.519849 0.342241i
\(247\) 0.413870 + 0.716843i 0.0263339 + 0.0456116i
\(248\) −3.93747 + 4.67983i −0.250029 + 0.297169i
\(249\) −2.46205 + 4.26440i −0.156026 + 0.270245i
\(250\) 8.25636 + 13.4845i 0.522178 + 0.852836i
\(251\) 21.5319i 1.35908i −0.733637 0.679542i \(-0.762179\pi\)
0.733637 0.679542i \(-0.237821\pi\)
\(252\) 6.83872 0.0266164i 0.430799 0.00167668i
\(253\) −1.02283 −0.0643047
\(254\) −6.34310 0.372267i −0.398001 0.0233581i
\(255\) 18.9566 + 6.30147i 1.18711 + 0.394613i
\(256\) 14.2725 + 7.23149i 0.892034 + 0.451968i
\(257\) 4.89663 + 8.48121i 0.305443 + 0.529043i 0.977360 0.211583i \(-0.0678620\pi\)
−0.671917 + 0.740627i \(0.734529\pi\)
\(258\) 16.3632 + 10.7726i 1.01873 + 0.670676i
\(259\) 22.6088 2.75219i 1.40484 0.171013i
\(260\) −3.32246 4.76353i −0.206050 0.295422i
\(261\) 6.61130 3.81703i 0.409229 0.236268i
\(262\) 6.22030 3.12050i 0.384291 0.192785i
\(263\) −8.74263 + 15.1427i −0.539094 + 0.933737i 0.459860 + 0.887992i \(0.347900\pi\)
−0.998953 + 0.0457458i \(0.985434\pi\)
\(264\) 0.424880 + 1.17220i 0.0261496 + 0.0721440i
\(265\) 3.26923 + 15.9089i 0.200827 + 0.977279i
\(266\) −0.148989 2.38021i −0.00913510 0.145940i
\(267\) 9.71606i 0.594613i
\(268\) 20.2609 + 15.1116i 1.23763 + 0.923091i
\(269\) 9.86300 17.0832i 0.601358 1.04158i −0.391258 0.920281i \(-0.627960\pi\)
0.992616 0.121301i \(-0.0387067\pi\)
\(270\) −13.9289 + 10.9821i −0.847685 + 0.668348i
\(271\) −2.58340 4.47458i −0.156930 0.271811i 0.776830 0.629710i \(-0.216826\pi\)
−0.933760 + 0.357899i \(0.883493\pi\)
\(272\) −18.8016 + 19.8578i −1.14002 + 1.20406i
\(273\) −3.58858 + 2.69835i −0.217191 + 0.163312i
\(274\) −19.4077 12.7770i −1.17246 0.771886i
\(275\) −1.35104 1.00979i −0.0814705 0.0608927i
\(276\) −7.86981 0.926928i −0.473707 0.0557945i
\(277\) 7.49971 12.9899i 0.450614 0.780486i −0.547810 0.836603i \(-0.684538\pi\)
0.998424 + 0.0561162i \(0.0178717\pi\)
\(278\) −0.816163 + 13.9067i −0.0489502 + 0.834067i
\(279\) 2.79457 0.167307
\(280\) 2.46658 + 16.5504i 0.147406 + 0.989076i
\(281\) 23.7107 1.41446 0.707232 0.706981i \(-0.249944\pi\)
0.707232 + 0.706981i \(0.249944\pi\)
\(282\) 0.973144 16.5815i 0.0579499 0.987414i
\(283\) −5.91985 + 10.2535i −0.351899 + 0.609506i −0.986582 0.163266i \(-0.947797\pi\)
0.634683 + 0.772772i \(0.281131\pi\)
\(284\) 0.827024 7.02161i 0.0490749 0.416656i
\(285\) 1.23681 + 1.39245i 0.0732624 + 0.0824814i
\(286\) 0.517477 + 0.340679i 0.0305990 + 0.0201448i
\(287\) 12.8590 + 5.47409i 0.759043 + 0.323125i
\(288\) −1.67024 7.11761i −0.0984196 0.419409i
\(289\) −14.8699 25.7553i −0.874697 1.51502i
\(290\) 11.5651 + 14.6683i 0.679125 + 0.861353i
\(291\) 3.94349 6.83033i 0.231172 0.400401i
\(292\) −14.1962 + 19.0336i −0.830773 + 1.11386i
\(293\) 5.93168i 0.346533i −0.984875 0.173266i \(-0.944568\pi\)
0.984875 0.173266i \(-0.0554321\pi\)
\(294\) 12.7186 2.36237i 0.741765 0.137776i
\(295\) 18.9775 3.89980i 1.10491 0.227055i
\(296\) −8.29714 22.8910i −0.482261 1.33051i
\(297\) 0.946090 1.63868i 0.0548977 0.0950856i
\(298\) −18.3791 + 9.22011i −1.06467 + 0.534106i
\(299\) −3.41002 + 1.96878i −0.197207 + 0.113857i
\(300\) −9.47998 8.99386i −0.547327 0.519261i
\(301\) −25.8066 10.9859i −1.48747 0.633216i
\(302\) 8.97530 + 5.90886i 0.516471 + 0.340017i
\(303\) −0.989287 1.71350i −0.0568331 0.0984377i
\(304\) −2.44372 + 0.726878i −0.140157 + 0.0416893i
\(305\) 16.8567 + 5.60342i 0.965211 + 0.320851i
\(306\) 12.4741 + 0.732089i 0.713098 + 0.0418507i
\(307\) 8.83855 0.504443 0.252221 0.967670i \(-0.418839\pi\)
0.252221 + 0.967670i \(0.418839\pi\)
\(308\) −0.898530 1.54241i −0.0511985 0.0878867i
\(309\) 9.95951i 0.566577i
\(310\) 0.981606 + 6.76698i 0.0557515 + 0.384338i
\(311\) 11.3386 19.6391i 0.642955 1.11363i −0.341814 0.939768i \(-0.611041\pi\)
0.984770 0.173864i \(-0.0556253\pi\)
\(312\) 3.67281 + 3.09020i 0.207932 + 0.174948i
\(313\) −10.2270 17.7137i −0.578064 1.00124i −0.995701 0.0926229i \(-0.970475\pi\)
0.417637 0.908614i \(-0.362858\pi\)
\(314\) 21.3643 + 14.0651i 1.20566 + 0.793741i
\(315\) 5.06109 5.73117i 0.285160 0.322915i
\(316\) −19.0171 + 8.18317i −1.06980 + 0.460339i
\(317\) −1.04378 1.80788i −0.0586245 0.101541i 0.835224 0.549910i \(-0.185338\pi\)
−0.893848 + 0.448370i \(0.852005\pi\)
\(318\) −6.01885 11.9978i −0.337520 0.672802i
\(319\) −1.72567 0.996314i −0.0966188 0.0557829i
\(320\) 16.6484 6.54452i 0.930674 0.365850i
\(321\) 2.53904i 0.141715i
\(322\) 11.3227 0.708741i 0.630987 0.0394966i
\(323\) 4.35756i 0.242461i
\(324\) 4.12826 5.53495i 0.229348 0.307497i
\(325\) −6.44792 0.766035i −0.357666 0.0424920i
\(326\) 9.34765 4.68938i 0.517719 0.259720i
\(327\) 1.73710 1.00291i 0.0960617 0.0554613i
\(328\) 2.61400 14.7102i 0.144334 0.812234i
\(329\) 2.87354 + 23.6058i 0.158424 + 1.30143i
\(330\) 1.29479 + 0.516473i 0.0712758 + 0.0284309i
\(331\) −6.62025 11.4666i −0.363882 0.630262i 0.624714 0.780854i \(-0.285216\pi\)
−0.988596 + 0.150591i \(0.951882\pi\)
\(332\) −7.48468 0.881566i −0.410775 0.0483822i
\(333\) −5.56278 + 9.63502i −0.304839 + 0.527996i
\(334\) 1.55118 26.4308i 0.0848770 1.44623i
\(335\) 27.6808 5.68830i 1.51236 0.310785i
\(336\) −5.51565 12.6818i −0.300903 0.691849i
\(337\) 13.0464i 0.710681i −0.934737 0.355341i \(-0.884365\pi\)
0.934737 0.355341i \(-0.115635\pi\)
\(338\) −15.9722 0.937387i −0.868774 0.0509871i
\(339\) −7.63381 4.40738i −0.414612 0.239376i
\(340\) 2.60886 + 30.4629i 0.141485 + 1.65208i
\(341\) −0.364717 0.631708i −0.0197505 0.0342089i
\(342\) 0.973033 + 0.640593i 0.0526156 + 0.0346393i
\(343\) −17.3107 + 6.58317i −0.934692 + 0.355458i
\(344\) −5.24600 + 29.5217i −0.282845 + 1.59170i
\(345\) −6.62387 + 5.88351i −0.356617 + 0.316758i
\(346\) −12.2795 + 6.16018i −0.660151 + 0.331173i
\(347\) −22.2014 12.8180i −1.19184 0.688107i −0.233113 0.972450i \(-0.574891\pi\)
−0.958723 + 0.284343i \(0.908225\pi\)
\(348\) −12.3747 9.22967i −0.663351 0.494762i
\(349\) −24.9774 −1.33701 −0.668505 0.743708i \(-0.733065\pi\)
−0.668505 + 0.743708i \(0.733065\pi\)
\(350\) 15.6556 + 10.2422i 0.836827 + 0.547467i
\(351\) 7.28427i 0.388806i
\(352\) −1.39094 + 1.30647i −0.0741374 + 0.0696348i
\(353\) 4.78385 8.28587i 0.254619 0.441012i −0.710173 0.704027i \(-0.751383\pi\)
0.964792 + 0.263015i \(0.0847168\pi\)
\(354\) −14.3119 + 7.17978i −0.760671 + 0.381601i
\(355\) −5.24939 5.90995i −0.278609 0.313668i
\(356\) −13.6596 + 5.87782i −0.723959 + 0.311524i
\(357\) 23.4634 2.85621i 1.24181 0.151167i
\(358\) −1.85772 + 2.82180i −0.0981838 + 0.149137i
\(359\) −17.0899 + 9.86683i −0.901968 + 0.520752i −0.877838 0.478957i \(-0.841015\pi\)
−0.0241299 + 0.999709i \(0.507682\pi\)
\(360\) −7.18581 3.89571i −0.378726 0.205322i
\(361\) −9.29687 + 16.1027i −0.489309 + 0.847508i
\(362\) 13.9365 + 0.817916i 0.732488 + 0.0429887i
\(363\) 14.2255 0.746647
\(364\) −5.96450 3.41272i −0.312625 0.178875i
\(365\) 5.34373 + 26.0040i 0.279703 + 1.36111i
\(366\) −14.6557 0.860123i −0.766067 0.0449593i
\(367\) −8.78783 5.07365i −0.458721 0.264843i 0.252785 0.967522i \(-0.418653\pi\)
−0.711506 + 0.702680i \(0.751987\pi\)
\(368\) −3.45776 11.6248i −0.180248 0.605983i
\(369\) −5.91226 + 3.41345i −0.307780 + 0.177697i
\(370\) −25.2849 10.0858i −1.31450 0.524334i
\(371\) 11.5492 + 15.3594i 0.599603 + 0.797422i
\(372\) −2.23371 5.19099i −0.115813 0.269140i
\(373\) −9.28187 16.0767i −0.480597 0.832419i 0.519155 0.854680i \(-0.326247\pi\)
−0.999752 + 0.0222614i \(0.992913\pi\)
\(374\) −1.46250 2.91530i −0.0756240 0.150746i
\(375\) −14.5579 + 1.23199i −0.751765 + 0.0636195i
\(376\) 23.9003 8.66300i 1.23257 0.446760i
\(377\) −7.67097 −0.395075
\(378\) −9.33769 + 18.7956i −0.480279 + 0.966742i
\(379\) 23.9371 1.22956 0.614782 0.788697i \(-0.289244\pi\)
0.614782 + 0.788697i \(0.289244\pi\)
\(380\) −1.20939 + 2.58118i −0.0620406 + 0.132412i
\(381\) 2.93559 5.08459i 0.150395 0.260491i
\(382\) 16.2782 8.16618i 0.832866 0.417818i
\(383\) 19.1286 11.0439i 0.977428 0.564318i 0.0759355 0.997113i \(-0.475806\pi\)
0.901493 + 0.432794i \(0.142472\pi\)
\(384\) −11.8861 + 8.79163i −0.606560 + 0.448646i
\(385\) −1.95604 0.396080i −0.0996889 0.0201861i
\(386\) −5.84929 3.85086i −0.297721 0.196003i
\(387\) 11.8653 6.85041i 0.603145 0.348226i
\(388\) 11.9883 + 1.41201i 0.608613 + 0.0716841i
\(389\) 2.69778 + 1.55757i 0.136783 + 0.0789717i 0.566830 0.823835i \(-0.308170\pi\)
−0.430047 + 0.902807i \(0.641503\pi\)
\(390\) 5.31085 0.770382i 0.268925 0.0390098i
\(391\) 20.7289 1.04831
\(392\) 11.0155 + 16.4517i 0.556364 + 0.830938i
\(393\) 6.43032i 0.324367i
\(394\) 9.27024 + 0.544057i 0.467028 + 0.0274092i
\(395\) −7.30146 + 21.9649i −0.367376 + 1.10517i
\(396\) 0.865977 + 0.101997i 0.0435170 + 0.00512555i
\(397\) −21.1570 + 12.2150i −1.06184 + 0.613054i −0.925941 0.377668i \(-0.876726\pi\)
−0.135900 + 0.990723i \(0.543393\pi\)
\(398\) 21.4917 32.6449i 1.07728 1.63634i
\(399\) 2.02757 + 0.863139i 0.101506 + 0.0432110i
\(400\) 6.90930 18.7686i 0.345465 0.938432i
\(401\) −12.5658 21.7647i −0.627508 1.08688i −0.988050 0.154133i \(-0.950742\pi\)
0.360542 0.932743i \(-0.382592\pi\)
\(402\) −20.8756 + 10.4725i −1.04118 + 0.522321i
\(403\) −2.43187 1.40404i −0.121140 0.0699402i
\(404\) 1.81049 2.42741i 0.0900754 0.120768i
\(405\) −1.55395 7.56194i −0.0772165 0.375756i
\(406\) 19.7934 + 9.83339i 0.982331 + 0.488023i
\(407\) 2.90397 0.143945
\(408\) −8.61074 23.7562i −0.426295 1.17610i
\(409\) 9.63575 + 5.56320i 0.476457 + 0.275083i 0.718939 0.695073i \(-0.244628\pi\)
−0.242482 + 0.970156i \(0.577961\pi\)
\(410\) −10.3423 13.1174i −0.510768 0.647821i
\(411\) 18.5938 10.7352i 0.917166 0.529526i
\(412\) 14.0019 6.02509i 0.689823 0.296835i
\(413\) 18.3220 13.7768i 0.901566 0.677912i
\(414\) −3.04730 + 4.62872i −0.149767 + 0.227489i
\(415\) −6.29971 + 5.59559i −0.309241 + 0.274677i
\(416\) −2.12255 + 7.03298i −0.104066 + 0.344820i
\(417\) −11.1475 6.43602i −0.545896 0.315173i
\(418\) 0.0178152 0.303555i 0.000871371 0.0148474i
\(419\) 4.05377i 0.198040i 0.995085 + 0.0990198i \(0.0315707\pi\)
−0.995085 + 0.0990198i \(0.968429\pi\)
\(420\) −14.6911 4.82014i −0.716854 0.235199i
\(421\) 22.4223i 1.09279i 0.837526 + 0.546397i \(0.184001\pi\)
−0.837526 + 0.546397i \(0.815999\pi\)
\(422\) 22.9715 + 1.34816i 1.11824 + 0.0656276i
\(423\) −10.0599 5.80807i −0.489128 0.282398i
\(424\) 13.2263 15.7200i 0.642326 0.763428i
\(425\) 27.3805 + 20.4647i 1.32815 + 0.992684i
\(426\) 5.45656 + 3.59230i 0.264371 + 0.174048i
\(427\) 20.8642 2.53981i 1.00969 0.122910i
\(428\) 3.56959 1.53601i 0.172542 0.0742460i
\(429\) −0.495776 + 0.286236i −0.0239363 + 0.0138196i
\(430\) 20.7558 + 26.3251i 1.00093 + 1.26951i
\(431\) −14.0817 8.13005i −0.678289 0.391611i 0.120921 0.992662i \(-0.461415\pi\)
−0.799210 + 0.601052i \(0.794749\pi\)
\(432\) 21.8224 + 5.21292i 1.04993 + 0.250807i
\(433\) 2.53783 0.121960 0.0609801 0.998139i \(-0.480577\pi\)
0.0609801 + 0.998139i \(0.480577\pi\)
\(434\) 4.47512 + 6.74026i 0.214813 + 0.323543i
\(435\) −16.9065 + 3.47422i −0.810603 + 0.166576i
\(436\) 2.46085 + 1.83543i 0.117853 + 0.0879012i
\(437\) 1.67365 + 0.966283i 0.0800616 + 0.0462236i
\(438\) −9.83812 19.6110i −0.470084 0.937050i
\(439\) 11.3888 + 19.7261i 0.543560 + 0.941473i 0.998696 + 0.0510514i \(0.0162572\pi\)
−0.455136 + 0.890422i \(0.650409\pi\)
\(440\) 0.0571951 + 2.13277i 0.00272667 + 0.101676i
\(441\) 2.51170 8.69118i 0.119605 0.413866i
\(442\) −10.4873 6.90429i −0.498831 0.328403i
\(443\) 1.64896 0.952029i 0.0783446 0.0452323i −0.460316 0.887755i \(-0.652264\pi\)
0.538661 + 0.842523i \(0.318931\pi\)
\(444\) 22.3436 + 2.63169i 1.06038 + 0.124895i
\(445\) −5.24451 + 15.7770i −0.248613 + 0.747900i
\(446\) 0.147851 2.51925i 0.00700094 0.119290i
\(447\) 18.9996i 0.898652i
\(448\) 14.4924 15.4263i 0.684700 0.728825i
\(449\) −22.8903 −1.08026 −0.540130 0.841582i \(-0.681625\pi\)
−0.540130 + 0.841582i \(0.681625\pi\)
\(450\) −8.59484 + 3.10553i −0.405165 + 0.146396i
\(451\) 1.54321 + 0.890970i 0.0726667 + 0.0419542i
\(452\) 1.57811 13.3985i 0.0742282 0.630213i
\(453\) −8.59892 + 4.96459i −0.404012 + 0.233257i
\(454\) 16.4819 25.0354i 0.773535 1.17497i
\(455\) −7.28365 + 2.44456i −0.341463 + 0.114603i
\(456\) 0.412167 2.31946i 0.0193015 0.108619i
\(457\) −32.0413 + 18.4990i −1.49883 + 0.865349i −0.999999 0.00135206i \(-0.999570\pi\)
−0.498829 + 0.866701i \(0.666236\pi\)
\(458\) 5.17133 + 10.3084i 0.241641 + 0.481679i
\(459\) −19.1737 + 33.2098i −0.894952 + 1.55010i
\(460\) −12.2787 5.75309i −0.572497 0.268239i
\(461\) 7.04683 0.328204 0.164102 0.986443i \(-0.447527\pi\)
0.164102 + 0.986443i \(0.447527\pi\)
\(462\) 1.64618 0.103042i 0.0765871 0.00479396i
\(463\) −36.8182 −1.71109 −0.855543 0.517731i \(-0.826777\pi\)
−0.855543 + 0.517731i \(0.826777\pi\)
\(464\) 5.48966 22.9809i 0.254851 1.06686i
\(465\) −5.99563 1.99304i −0.278041 0.0924249i
\(466\) −34.2586 + 17.1863i −1.58700 + 0.796139i
\(467\) −13.6516 23.6452i −0.631719 1.09417i −0.987200 0.159486i \(-0.949016\pi\)
0.355481 0.934683i \(-0.384317\pi\)
\(468\) 3.08342 1.32681i 0.142531 0.0613320i
\(469\) 26.7247 20.0950i 1.23403 0.927901i
\(470\) 10.5305 26.3998i 0.485736 1.21773i
\(471\) −20.4684 + 11.8174i −0.943134 + 0.544519i
\(472\) −18.7520 15.7774i −0.863133 0.726214i
\(473\) −3.09704 1.78808i −0.142402 0.0822160i
\(474\) 1.12077 19.0969i 0.0514788 0.877152i
\(475\) 1.25673 + 2.92866i 0.0576626 + 0.134376i
\(476\) 18.2099 + 31.2588i 0.834648 + 1.43275i
\(477\) −9.38722 −0.429811
\(478\) −1.54765 + 26.3706i −0.0707879 + 1.20616i
\(479\) −8.50010 + 14.7226i −0.388379 + 0.672693i −0.992232 0.124403i \(-0.960298\pi\)
0.603852 + 0.797096i \(0.293632\pi\)
\(480\) −1.49273 + 16.4617i −0.0681335 + 0.751369i
\(481\) 9.68159 5.58967i 0.441443 0.254867i
\(482\) 23.8248 + 15.6850i 1.08519 + 0.714431i
\(483\) −4.10595 + 9.64516i −0.186827 + 0.438870i
\(484\) 8.60587 + 19.9994i 0.391176 + 0.909064i
\(485\) 10.0903 8.96251i 0.458177 0.406966i
\(486\) −7.80990 15.5680i −0.354264 0.706179i
\(487\) 19.8165 34.3232i 0.897973 1.55533i 0.0678912 0.997693i \(-0.478373\pi\)
0.830082 0.557642i \(-0.188294\pi\)
\(488\) −7.65688 21.1245i −0.346611 0.956263i
\(489\) 9.66327i 0.436988i
\(490\) 21.9277 + 3.02920i 0.990592 + 0.136845i
\(491\) −42.8252 −1.93267 −0.966337 0.257280i \(-0.917174\pi\)
−0.966337 + 0.257280i \(0.917174\pi\)
\(492\) 11.0662 + 8.25379i 0.498905 + 0.372109i
\(493\) 34.9728 + 20.1916i 1.57510 + 0.909383i
\(494\) −0.524900 1.04632i −0.0236164 0.0470761i
\(495\) 0.728876 0.647409i 0.0327606 0.0290989i
\(496\) 5.94660 6.28066i 0.267010 0.282010i
\(497\) −8.60561 3.66342i −0.386014 0.164327i
\(498\) 3.82922 5.81642i 0.171591 0.260640i
\(499\) −0.363871 0.630243i −0.0162891 0.0282136i 0.857766 0.514040i \(-0.171852\pi\)
−0.874055 + 0.485827i \(0.838519\pi\)
\(500\) −10.5389 19.7213i −0.471316 0.881965i
\(501\) 21.1868 + 12.2322i 0.946555 + 0.546494i
\(502\) −1.78404 + 30.3984i −0.0796256 + 1.35675i
\(503\) 4.71017i 0.210016i −0.994471 0.105008i \(-0.966513\pi\)
0.994471 0.105008i \(-0.0334868\pi\)
\(504\) −9.65700 0.529049i −0.430157 0.0235657i
\(505\) −0.681503 3.31637i −0.0303265 0.147577i
\(506\) 1.44401 + 0.0847471i 0.0641942 + 0.00376747i
\(507\) 7.39196 12.8032i 0.328288 0.568612i
\(508\) 8.92424 + 1.05112i 0.395949 + 0.0466360i
\(509\) 16.9005 + 29.2726i 0.749103 + 1.29749i 0.948253 + 0.317516i \(0.102849\pi\)
−0.199150 + 0.979969i \(0.563818\pi\)
\(510\) −26.2406 10.4670i −1.16195 0.463486i
\(511\) 18.8777 + 25.1058i 0.835101 + 1.11061i
\(512\) −19.5506 11.3919i −0.864022 0.503454i
\(513\) −3.09617 + 1.78757i −0.136699 + 0.0789232i
\(514\) −6.21027 12.3794i −0.273923 0.546030i
\(515\) 5.37591 16.1723i 0.236891 0.712636i
\(516\) −22.2087 16.5644i −0.977685 0.729209i
\(517\) 3.03202i 0.133348i
\(518\) −32.1468 + 2.01223i −1.41245 + 0.0884121i
\(519\) 12.6941i 0.557210i
\(520\) 4.29591 + 7.00037i 0.188388 + 0.306986i
\(521\) −1.19800 0.691667i −0.0524855 0.0303025i 0.473528 0.880779i \(-0.342980\pi\)
−0.526013 + 0.850476i \(0.676314\pi\)
\(522\) −9.64999 + 4.84104i −0.422368 + 0.211887i
\(523\) 10.5809 + 18.3267i 0.462671 + 0.801370i 0.999093 0.0425801i \(-0.0135578\pi\)
−0.536422 + 0.843950i \(0.680224\pi\)
\(524\) −9.04027 + 3.89008i −0.394926 + 0.169939i
\(525\) −14.9457 + 8.68650i −0.652284 + 0.379110i
\(526\) 13.5974 20.6538i 0.592873 0.900549i
\(527\) 7.39145 + 12.8024i 0.321977 + 0.557680i
\(528\) −0.502716 1.69010i −0.0218779 0.0735521i
\(529\) 6.90339 11.9570i 0.300147 0.519871i
\(530\) −3.29730 22.7309i −0.143226 0.987366i
\(531\) 11.1978i 0.485945i
\(532\) 0.0131266 + 3.37269i 0.000569109 + 0.146225i
\(533\) 6.85989 0.297135
\(534\) 0.805030 13.7170i 0.0348371 0.593592i
\(535\) 1.37051 4.12290i 0.0592525 0.178248i
\(536\) −27.3519 23.0131i −1.18142 0.994015i
\(537\) −1.56085 2.70347i −0.0673556 0.116663i
\(538\) −15.3399 + 23.3006i −0.661349 + 1.00456i
\(539\) −2.29243 + 0.566512i −0.0987418 + 0.0244014i
\(540\) 20.5745 14.3503i 0.885386 0.617537i
\(541\) −2.03605 + 1.17551i −0.0875366 + 0.0505393i −0.543129 0.839649i \(-0.682761\pi\)
0.455593 + 0.890188i \(0.349427\pi\)
\(542\) 3.27646 + 6.53118i 0.140736 + 0.280538i
\(543\) −6.44984 + 11.1715i −0.276789 + 0.479413i
\(544\) 28.1892 26.4772i 1.20860 1.13520i
\(545\) 3.36206 0.690890i 0.144015 0.0295945i
\(546\) 5.28987 3.51216i 0.226386 0.150306i
\(547\) 37.9822i 1.62400i −0.583656 0.812001i \(-0.698378\pi\)
0.583656 0.812001i \(-0.301622\pi\)
\(548\) 26.3408 + 19.6464i 1.12523 + 0.839252i
\(549\) −5.13352 + 8.89152i −0.219093 + 0.379481i
\(550\) 1.82370 + 1.53755i 0.0777630 + 0.0655613i
\(551\) 1.88247 + 3.26053i 0.0801958 + 0.138903i
\(552\) 11.0337 + 1.96068i 0.469624 + 0.0834521i
\(553\) 3.30947 + 27.1868i 0.140733 + 1.15610i
\(554\) −11.6643 + 17.7175i −0.495567 + 0.752745i
\(555\) 18.8062 16.7042i 0.798279 0.709055i
\(556\) 2.30449 19.5656i 0.0977322 0.829766i
\(557\) 12.5827 21.7938i 0.533144 0.923433i −0.466106 0.884729i \(-0.654344\pi\)
0.999251 0.0387043i \(-0.0123230\pi\)
\(558\) −3.94533 0.231546i −0.167019 0.00980212i
\(559\) −13.7670 −0.582284
\(560\) −2.11099 23.5700i −0.0892055 0.996013i
\(561\) 3.01373 0.127240
\(562\) −33.4745 1.96457i −1.41203 0.0828703i
\(563\) 22.7306 39.3705i 0.957980 1.65927i 0.230585 0.973052i \(-0.425936\pi\)
0.727396 0.686218i \(-0.240731\pi\)
\(564\) −2.74774 + 23.3289i −0.115701 + 0.982323i
\(565\) −10.0168 11.2773i −0.421410 0.474438i
\(566\) 9.20711 13.9852i 0.387004 0.587842i
\(567\) −5.48963 7.30074i −0.230543 0.306602i
\(568\) −1.74936 + 9.84447i −0.0734015 + 0.413065i
\(569\) −5.41670 9.38201i −0.227080 0.393314i 0.729861 0.683595i \(-0.239585\pi\)
−0.956941 + 0.290281i \(0.906251\pi\)
\(570\) −1.63074 2.06831i −0.0683041 0.0866320i
\(571\) 0.714547 1.23763i 0.0299029 0.0517933i −0.850687 0.525673i \(-0.823814\pi\)
0.880590 + 0.473880i \(0.157147\pi\)
\(572\) −0.702338 0.523841i −0.0293662 0.0219029i
\(573\) 16.8278i 0.702993i
\(574\) −17.7006 8.79368i −0.738808 0.367041i
\(575\) −13.9316 + 5.97826i −0.580990 + 0.249311i
\(576\) 1.76828 + 10.1869i 0.0736783 + 0.424455i
\(577\) 7.32076 12.6799i 0.304767 0.527872i −0.672442 0.740149i \(-0.734755\pi\)
0.977209 + 0.212277i \(0.0680880\pi\)
\(578\) 18.8591 + 37.5930i 0.784433 + 1.56366i
\(579\) 5.60399 3.23547i 0.232894 0.134461i
\(580\) −15.1121 21.6667i −0.627494 0.899662i
\(581\) −3.90502 + 9.17314i −0.162007 + 0.380566i
\(582\) −6.13329 + 9.31621i −0.254233 + 0.386169i
\(583\) 1.22512 + 2.12196i 0.0507391 + 0.0878827i
\(584\) 21.6191 25.6951i 0.894604 1.06327i
\(585\) 1.18385 3.56138i 0.0489464 0.147245i
\(586\) −0.491473 + 8.37426i −0.0203026 + 0.345937i
\(587\) −20.7299 −0.855616 −0.427808 0.903870i \(-0.640714\pi\)
−0.427808 + 0.903870i \(0.640714\pi\)
\(588\) −18.1517 + 2.28134i −0.748563 + 0.0940811i
\(589\) 1.37821i 0.0567884i
\(590\) −27.1152 + 3.93329i −1.11632 + 0.161931i
\(591\) −4.29027 + 7.43097i −0.176478 + 0.305669i
\(592\) 9.81713 + 33.0046i 0.403481 + 1.35648i
\(593\) −0.830997 1.43933i −0.0341249 0.0591061i 0.848459 0.529262i \(-0.177531\pi\)
−0.882583 + 0.470156i \(0.844198\pi\)
\(594\) −1.47145 + 2.23507i −0.0603742 + 0.0917059i
\(595\) 39.6416 + 8.02706i 1.62515 + 0.329077i
\(596\) 26.7112 11.4940i 1.09413 0.470812i
\(597\) 18.0572 + 31.2760i 0.739031 + 1.28004i
\(598\) 4.97734 2.49695i 0.203539 0.102108i
\(599\) 31.9015 + 18.4183i 1.30346 + 0.752553i 0.980996 0.194029i \(-0.0621555\pi\)
0.322464 + 0.946582i \(0.395489\pi\)
\(600\) 12.6385 + 13.4829i 0.515964 + 0.550435i
\(601\) 36.8443i 1.50291i 0.659785 + 0.751455i \(0.270647\pi\)
−0.659785 + 0.751455i \(0.729353\pi\)
\(602\) 35.5231 + 17.6479i 1.44781 + 0.719276i
\(603\) 16.3333i 0.665143i
\(604\) −12.1816 9.08569i −0.495663 0.369691i
\(605\) 23.0995 + 7.67861i 0.939127 + 0.312180i
\(606\) 1.25469 + 2.50105i 0.0509682 + 0.101598i
\(607\) −16.7562 + 9.67418i −0.680112 + 0.392663i −0.799897 0.600137i \(-0.795113\pi\)
0.119785 + 0.992800i \(0.461779\pi\)
\(608\) 3.51023 0.823720i 0.142359 0.0334062i
\(609\) −16.3225 + 12.2733i −0.661421 + 0.497340i
\(610\) −23.3337 9.30749i −0.944755 0.376849i
\(611\) 5.83615 + 10.1085i 0.236105 + 0.408946i
\(612\) −17.5501 2.06710i −0.709422 0.0835577i
\(613\) −6.61363 + 11.4551i −0.267122 + 0.462669i −0.968117 0.250497i \(-0.919406\pi\)
0.700995 + 0.713166i \(0.252739\pi\)
\(614\) −12.4781 0.732323i −0.503576 0.0295542i
\(615\) 15.1189 3.10688i 0.609652 0.125281i
\(616\) 1.14073 + 2.25199i 0.0459615 + 0.0907354i
\(617\) 12.0831i 0.486448i 0.969970 + 0.243224i \(0.0782049\pi\)
−0.969970 + 0.243224i \(0.921795\pi\)
\(618\) −0.825201 + 14.0607i −0.0331944 + 0.565603i
\(619\) −10.4861 6.05415i −0.421472 0.243337i 0.274235 0.961663i \(-0.411575\pi\)
−0.695707 + 0.718326i \(0.744909\pi\)
\(620\) −0.825135 9.63484i −0.0331382 0.386945i
\(621\) −8.50348 14.7285i −0.341233 0.591033i
\(622\) −17.6349 + 26.7867i −0.707096 + 1.07405i
\(623\) 2.37713 + 19.5278i 0.0952376 + 0.782364i
\(624\) −4.92918 4.66700i −0.197325 0.186830i
\(625\) −24.3041 5.85749i −0.972164 0.234300i
\(626\) 12.9706 + 25.8553i 0.518411 + 1.03338i
\(627\) 0.243328 + 0.140486i 0.00971760 + 0.00561046i
\(628\) −28.9965 21.6271i −1.15708 0.863014i
\(629\) −58.8527 −2.34661
\(630\) −7.62002 + 7.67184i −0.303589 + 0.305653i
\(631\) 3.98549i 0.158660i −0.996848 0.0793299i \(-0.974722\pi\)
0.996848 0.0793299i \(-0.0252780\pi\)
\(632\) 27.5261 9.97720i 1.09493 0.396872i
\(633\) −10.6312 + 18.4138i −0.422554 + 0.731884i
\(634\) 1.32380 + 2.63882i 0.0525747 + 0.104801i
\(635\) 7.51136 6.67181i 0.298079 0.264763i
\(636\) 7.50323 + 17.4370i 0.297523 + 0.691421i
\(637\) −6.55231 + 6.30125i −0.259612 + 0.249664i
\(638\) 2.35372 + 1.54956i 0.0931846 + 0.0613477i
\(639\) 3.95665 2.28437i 0.156523 0.0903684i
\(640\) −24.0462 + 7.86004i −0.950510 + 0.310695i
\(641\) −3.32962 + 5.76707i −0.131512 + 0.227786i −0.924260 0.381764i \(-0.875317\pi\)
0.792748 + 0.609550i \(0.208650\pi\)
\(642\) −0.210373 + 3.58457i −0.00830278 + 0.141472i
\(643\) 22.3506 0.881421 0.440711 0.897649i \(-0.354727\pi\)
0.440711 + 0.897649i \(0.354727\pi\)
\(644\) −16.0439 + 0.0624431i −0.632217 + 0.00246060i
\(645\) −30.3419 + 6.23516i −1.19471 + 0.245509i
\(646\) −0.361048 + 6.15194i −0.0142053 + 0.242045i
\(647\) −9.62380 5.55631i −0.378351 0.218441i 0.298750 0.954331i \(-0.403430\pi\)
−0.677100 + 0.735891i \(0.736764\pi\)
\(648\) −6.28681 + 7.47211i −0.246969 + 0.293532i
\(649\) 2.53125 1.46142i 0.0993603 0.0573657i
\(650\) 9.03960 + 1.61572i 0.354562 + 0.0633738i
\(651\) −7.42102 + 0.903366i −0.290853 + 0.0354057i
\(652\) −13.5854 + 5.84588i −0.532046 + 0.228942i
\(653\) −7.41053 12.8354i −0.289997 0.502289i 0.683812 0.729658i \(-0.260321\pi\)
−0.973809 + 0.227369i \(0.926988\pi\)
\(654\) −2.53550 + 1.27197i −0.0991461 + 0.0497380i
\(655\) −3.47094 + 10.4416i −0.135621 + 0.407986i
\(656\) −4.90922 + 20.5510i −0.191673 + 0.802383i
\(657\) −15.3439 −0.598622
\(658\) −2.10095 33.5643i −0.0819037 1.30847i
\(659\) −0.263237 −0.0102542 −0.00512712 0.999987i \(-0.501632\pi\)
−0.00512712 + 0.999987i \(0.501632\pi\)
\(660\) −1.78517 0.836429i −0.0694877 0.0325580i
\(661\) −13.3229 + 23.0759i −0.518199 + 0.897547i 0.481577 + 0.876404i \(0.340064\pi\)
−0.999776 + 0.0211434i \(0.993269\pi\)
\(662\) 8.39630 + 16.7369i 0.326331 + 0.650499i
\(663\) 10.0475 5.80094i 0.390214 0.225290i
\(664\) 10.4937 + 1.86473i 0.407235 + 0.0723655i
\(665\) 2.82647 + 2.49600i 0.109606 + 0.0967909i
\(666\) 8.65176 13.1417i 0.335249 0.509229i
\(667\) −15.5103 + 8.95490i −0.600563 + 0.346735i
\(668\) −4.37987 + 37.1860i −0.169462 + 1.43877i
\(669\) 2.01941 + 1.16591i 0.0780750 + 0.0450766i
\(670\) −39.5506 + 5.73714i −1.52797 + 0.221645i
\(671\) 2.67988 0.103456
\(672\) 6.73615 + 18.3610i 0.259853 + 0.708290i
\(673\) 36.5349i 1.40832i 0.710043 + 0.704158i \(0.248676\pi\)
−0.710043 + 0.704158i \(0.751324\pi\)
\(674\) −1.08097 + 18.4187i −0.0416372 + 0.709461i
\(675\) 3.30863 27.8496i 0.127349 1.07193i
\(676\) 22.4717 + 2.64678i 0.864295 + 0.101799i
\(677\) 17.0196 9.82627i 0.654116 0.377654i −0.135915 0.990720i \(-0.543398\pi\)
0.790031 + 0.613066i \(0.210064\pi\)
\(678\) 10.4121 + 6.85478i 0.399875 + 0.263256i
\(679\) 6.25470 14.6927i 0.240033 0.563855i
\(680\) −1.15913 43.2232i −0.0444506 1.65753i
\(681\) 13.8480 + 23.9855i 0.530658 + 0.919126i
\(682\) 0.462561 + 0.922054i 0.0177124 + 0.0353073i
\(683\) −5.62027 3.24486i −0.215054 0.124161i 0.388604 0.921405i \(-0.372957\pi\)
−0.603658 + 0.797244i \(0.706291\pi\)
\(684\) −1.32064 0.985000i −0.0504958 0.0376624i
\(685\) 35.9873 7.39526i 1.37500 0.282558i
\(686\) 24.9845 7.85973i 0.953912 0.300086i
\(687\) −10.6564 −0.406568
\(688\) 9.85226 41.2436i 0.375614 1.57240i
\(689\) 8.16886 + 4.71630i 0.311209 + 0.179677i
\(690\) 9.83896 7.75743i 0.374563 0.295320i
\(691\) −14.9183 + 8.61308i −0.567518 + 0.327657i −0.756158 0.654390i \(-0.772926\pi\)
0.188639 + 0.982046i \(0.439592\pi\)
\(692\) 17.8464 7.67942i 0.678419 0.291928i
\(693\) 0.451810 1.06133i 0.0171629 0.0403167i
\(694\) 30.2816 + 19.9358i 1.14947 + 0.756752i
\(695\) −14.6274 16.4680i −0.554847 0.624667i
\(696\) 16.7056 + 14.0556i 0.633225 + 0.532777i
\(697\) −31.2750 18.0566i −1.18463 0.683944i
\(698\) 35.2627 + 2.06952i 1.33471 + 0.0783324i
\(699\) 35.4153i 1.33953i
\(700\) −21.2537 15.7569i −0.803315 0.595555i
\(701\) 20.0480i 0.757201i −0.925560 0.378600i \(-0.876405\pi\)
0.925560 0.378600i \(-0.123595\pi\)
\(702\) −0.603543 + 10.2838i −0.0227792 + 0.388138i
\(703\) −4.75176 2.74343i −0.179216 0.103470i
\(704\) 2.07196 1.72920i 0.0780898 0.0651717i
\(705\) 17.4408 + 19.6355i 0.656858 + 0.739514i
\(706\) −7.44029 + 11.3015i −0.280019 + 0.425337i
\(707\) −2.40754 3.20182i −0.0905447 0.120417i
\(708\) 20.8003 8.95047i 0.781721 0.336379i
\(709\) 13.6342 7.87172i 0.512044 0.295629i −0.221630 0.975131i \(-0.571138\pi\)
0.733673 + 0.679502i \(0.237804\pi\)
\(710\) 6.92134 + 8.77852i 0.259753 + 0.329452i
\(711\) −11.5860 6.68917i −0.434508 0.250863i
\(712\) 19.7715 7.16644i 0.740967 0.268574i
\(713\) −6.55617 −0.245531
\(714\) −33.3619 + 2.08828i −1.24854 + 0.0781520i
\(715\) −0.959546 + 0.197183i −0.0358850 + 0.00737423i
\(716\) 2.85651 3.82986i 0.106753 0.143128i
\(717\) −21.1385 12.2043i −0.789432 0.455779i
\(718\) 24.9447 12.5139i 0.930928 0.467013i
\(719\) −11.4051 19.7541i −0.425337 0.736705i 0.571115 0.820870i \(-0.306511\pi\)
−0.996452 + 0.0841652i \(0.973178\pi\)
\(720\) 9.82204 + 6.09529i 0.366046 + 0.227158i
\(721\) −2.43669 20.0171i −0.0907471 0.745474i
\(722\) 14.4594 21.9632i 0.538122 0.817385i
\(723\) −22.8257 + 13.1784i −0.848898 + 0.490111i
\(724\) −19.6076 2.30944i −0.728712 0.0858297i
\(725\) −29.3281 3.48427i −1.08922 0.129403i
\(726\) −20.0834 1.17867i −0.745365 0.0437444i
\(727\) 43.1926i 1.60193i 0.598714 + 0.800963i \(0.295679\pi\)
−0.598714 + 0.800963i \(0.704321\pi\)
\(728\) 8.13783 + 5.31222i 0.301608 + 0.196884i
\(729\) 26.4511 0.979669
\(730\) −5.38961 37.1548i −0.199479 1.37516i
\(731\) 62.7655 + 36.2377i 2.32147 + 1.34030i
\(732\) 20.6194 + 2.42862i 0.762117 + 0.0897642i
\(733\) −12.9526 + 7.47818i −0.478415 + 0.276213i −0.719756 0.694227i \(-0.755746\pi\)
0.241341 + 0.970440i \(0.422413\pi\)
\(734\) 11.9861 + 7.89103i 0.442416 + 0.291263i
\(735\) −11.5871 + 16.8552i −0.427398 + 0.621715i
\(736\) 3.91844 + 16.6982i 0.144435 + 0.615503i
\(737\) 3.69211 2.13164i 0.136001 0.0785200i
\(738\) 8.62966 4.32918i 0.317662 0.159359i
\(739\) −1.37228 + 2.37687i −0.0504803 + 0.0874344i −0.890161 0.455645i \(-0.849409\pi\)
0.839681 + 0.543080i \(0.182742\pi\)
\(740\) 34.8611 + 16.3339i 1.28152 + 0.600447i
\(741\) 1.08165 0.0397353
\(742\) −15.0323 22.6411i −0.551854 0.831181i
\(743\) 20.5678 0.754559 0.377279 0.926099i \(-0.376860\pi\)
0.377279 + 0.926099i \(0.376860\pi\)
\(744\) 2.72342 + 7.51363i 0.0998453 + 0.275463i
\(745\) 10.2556 30.8517i 0.375735 1.13032i
\(746\) 11.7720 + 23.4659i 0.431002 + 0.859146i
\(747\) −2.43503 4.21759i −0.0890930 0.154314i
\(748\) 1.82318 + 4.23695i 0.0666622 + 0.154918i
\(749\) −0.621200 5.10307i −0.0226982 0.186462i
\(750\) 20.6546 0.533100i 0.754201 0.0194660i
\(751\) 31.6827 18.2920i 1.15612 0.667486i 0.205748 0.978605i \(-0.434037\pi\)
0.950371 + 0.311119i \(0.100704\pi\)
\(752\) −34.4599 + 10.2500i −1.25662 + 0.373779i
\(753\) −24.3672 14.0684i −0.887991 0.512682i
\(754\) 10.8298 + 0.635582i 0.394396 + 0.0231465i
\(755\) −16.6427 + 3.42002i −0.605691 + 0.124467i
\(756\) 14.7401 25.7617i 0.536093 0.936943i
\(757\) 34.7609 1.26341 0.631704 0.775210i \(-0.282356\pi\)
0.631704 + 0.775210i \(0.282356\pi\)
\(758\) −33.7940 1.98332i −1.22745 0.0720374i
\(759\) −0.668291 + 1.15751i −0.0242574 + 0.0420151i
\(760\) 1.92127 3.54387i 0.0696918 0.128550i
\(761\) −7.09181 + 4.09446i −0.257078 + 0.148424i −0.623001 0.782221i \(-0.714087\pi\)
0.365923 + 0.930645i \(0.380753\pi\)
\(762\) −4.56571 + 6.93512i −0.165398 + 0.251233i
\(763\) 3.24592 2.44070i 0.117510 0.0883593i
\(764\) −23.6579 + 10.1801i −0.855914 + 0.368305i
\(765\) −14.7716 + 13.1206i −0.534069 + 0.474375i
\(766\) −27.9206 + 14.0067i −1.00881 + 0.506084i
\(767\) 5.62598 9.74449i 0.203142 0.351853i
\(768\) 17.5090 11.4271i 0.631803 0.412338i
\(769\) 29.2850i 1.05604i −0.849231 0.528021i \(-0.822934\pi\)
0.849231 0.528021i \(-0.177066\pi\)
\(770\) 2.72869 + 0.721248i 0.0983351 + 0.0259920i
\(771\) 12.7973 0.460885
\(772\) 7.93887 + 5.92122i 0.285726 + 0.213109i
\(773\) 14.5234 + 8.38511i 0.522372 + 0.301591i 0.737904 0.674905i \(-0.235815\pi\)
−0.215533 + 0.976497i \(0.569149\pi\)
\(774\) −17.3188