Properties

Label 690.2.r.b.49.2
Level $690$
Weight $2$
Character 690.49
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 49.2
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(-1.21290 + 1.87853i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.707520 + 1.10092i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(-1.21290 + 1.87853i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.707520 + 1.10092i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.933214 - 2.03202i) q^{10} +(0.267070 - 1.85751i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-2.09426 + 3.25874i) q^{13} +(-0.856996 - 0.989026i) q^{14} +(-1.88366 + 1.20491i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.13834 + 3.87684i) q^{17} +(-0.755750 - 0.654861i) q^{18} +(4.77964 - 1.40343i) q^{19} +(-0.634529 + 2.14415i) q^{20} +(0.186243 + 1.29535i) q^{21} +1.87661i q^{22} +(-3.69147 + 3.06155i) q^{23} -1.00000 q^{24} +(-2.05774 - 4.55694i) q^{25} +(1.60918 - 3.52361i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.989026 + 0.856996i) q^{28} +(-6.75804 - 1.98434i) q^{29} +(1.69301 - 1.46072i) q^{30} +(2.27028 + 4.97122i) q^{31} +(-0.755750 + 0.654861i) q^{32} +(1.01457 - 1.57871i) q^{33} +(0.575024 - 3.99938i) q^{34} +(-2.92627 - 0.00621525i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-3.36038 + 2.91179i) q^{37} +(-4.53127 + 2.06936i) q^{38} +(-3.25874 + 2.09426i) q^{39} +(0.322926 - 2.21263i) q^{40} +(-4.58798 + 5.29481i) q^{41} +(-0.368695 - 1.25566i) q^{42} +(2.17912 + 0.995168i) q^{43} +(-0.267070 - 1.85751i) q^{44} +(-2.21398 + 0.313524i) q^{45} +(3.21819 - 3.55573i) q^{46} -5.44474i q^{47} +(0.989821 - 0.142315i) q^{48} +(2.19646 - 4.80957i) q^{49} +(2.68531 + 4.21771i) q^{50} +(-2.64597 + 3.05361i) q^{51} +(-1.09134 + 3.71676i) q^{52} +(4.25675 + 6.62363i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(3.16546 + 2.75468i) q^{55} +(-1.10092 - 0.707520i) q^{56} +(4.93072 + 0.708931i) q^{57} +(6.97165 + 1.00237i) q^{58} +(0.186393 + 0.119787i) q^{59} +(-1.46790 + 1.68679i) q^{60} +(1.20058 + 2.62891i) q^{61} +(-2.95465 - 4.59753i) q^{62} +(-0.368695 + 1.25566i) q^{63} +(0.654861 - 0.755750i) q^{64} +(-3.58149 - 7.88666i) q^{65} +(-0.779573 + 1.70703i) q^{66} +(-4.34717 + 0.625028i) q^{67} +4.04051i q^{68} +(-4.62969 + 1.25139i) q^{69} +(2.89737 - 0.410299i) q^{70} +(1.57699 + 10.9682i) q^{71} +(-0.909632 - 0.415415i) q^{72} +(0.479374 + 1.63260i) q^{73} +(2.91179 - 3.36038i) q^{74} +(0.0212394 - 4.99995i) q^{75} +(4.19064 - 2.69316i) q^{76} +(2.23393 - 1.02020i) q^{77} +(2.92752 - 2.53671i) q^{78} +(-5.25189 - 3.37518i) q^{79} +(-0.00474929 + 2.23606i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(3.78775 - 5.89385i) q^{82} +(1.99365 - 1.72751i) q^{83} +(0.543641 + 1.19041i) q^{84} +(-5.90206 - 6.84064i) q^{85} +(-2.29856 - 0.674919i) q^{86} +(-5.32300 - 4.61241i) q^{87} +(0.528703 + 1.80060i) q^{88} +(1.12079 - 2.45418i) q^{89} +(2.14682 - 0.625415i) q^{90} -5.06935 q^{91} +(-2.67940 + 3.97754i) q^{92} +5.46509i q^{93} +(0.774868 + 5.38932i) q^{94} +(-3.16086 + 10.6809i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(6.97510 + 6.04395i) q^{97} +(-1.48963 + 5.07321i) q^{98} +(1.57871 - 1.01457i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 + 0.142315i −0.699909 + 0.100632i
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 0.959493 0.281733i 0.479746 0.140866i
\(5\) −1.21290 + 1.87853i −0.542426 + 0.840103i
\(6\) −0.959493 0.281733i −0.391711 0.115017i
\(7\) 0.707520 + 1.10092i 0.267417 + 0.416110i 0.948829 0.315791i \(-0.102270\pi\)
−0.681411 + 0.731901i \(0.738633\pi\)
\(8\) −0.909632 + 0.415415i −0.321603 + 0.146871i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 0.933214 2.03202i 0.295108 0.642582i
\(11\) 0.267070 1.85751i 0.0805246 0.560061i −0.909121 0.416531i \(-0.863246\pi\)
0.989646 0.143530i \(-0.0458452\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) −2.09426 + 3.25874i −0.580844 + 0.903811i −0.999992 0.00410703i \(-0.998693\pi\)
0.419147 + 0.907918i \(0.362329\pi\)
\(14\) −0.856996 0.989026i −0.229042 0.264328i
\(15\) −1.88366 + 1.20491i −0.486360 + 0.311107i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.13834 + 3.87684i −0.276089 + 0.940272i 0.698376 + 0.715731i \(0.253906\pi\)
−0.974465 + 0.224541i \(0.927912\pi\)
\(18\) −0.755750 0.654861i −0.178132 0.154352i
\(19\) 4.77964 1.40343i 1.09653 0.321969i 0.317055 0.948407i \(-0.397306\pi\)
0.779471 + 0.626438i \(0.215488\pi\)
\(20\) −0.634529 + 2.14415i −0.141885 + 0.479446i
\(21\) 0.186243 + 1.29535i 0.0406416 + 0.282668i
\(22\) 1.87661i 0.400095i
\(23\) −3.69147 + 3.06155i −0.769724 + 0.638377i
\(24\) −1.00000 −0.204124
\(25\) −2.05774 4.55694i −0.411547 0.911388i
\(26\) 1.60918 3.52361i 0.315586 0.691037i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) 0.989026 + 0.856996i 0.186908 + 0.161957i
\(29\) −6.75804 1.98434i −1.25494 0.368483i −0.414329 0.910127i \(-0.635984\pi\)
−0.840608 + 0.541645i \(0.817802\pi\)
\(30\) 1.69301 1.46072i 0.309101 0.266690i
\(31\) 2.27028 + 4.97122i 0.407754 + 0.892858i 0.996425 + 0.0844845i \(0.0269244\pi\)
−0.588670 + 0.808373i \(0.700348\pi\)
\(32\) −0.755750 + 0.654861i −0.133599 + 0.115764i
\(33\) 1.01457 1.57871i 0.176615 0.274818i
\(34\) 0.575024 3.99938i 0.0986159 0.685889i
\(35\) −2.92627 0.00621525i −0.494629 0.00105057i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) −3.36038 + 2.91179i −0.552443 + 0.478695i −0.885775 0.464115i \(-0.846373\pi\)
0.333332 + 0.942810i \(0.391827\pi\)
\(38\) −4.53127 + 2.06936i −0.735068 + 0.335694i
\(39\) −3.25874 + 2.09426i −0.521816 + 0.335351i
\(40\) 0.322926 2.21263i 0.0510591 0.349847i
\(41\) −4.58798 + 5.29481i −0.716521 + 0.826910i −0.990884 0.134717i \(-0.956988\pi\)
0.274363 + 0.961626i \(0.411533\pi\)
\(42\) −0.368695 1.25566i −0.0568908 0.193752i
\(43\) 2.17912 + 0.995168i 0.332312 + 0.151762i 0.574582 0.818447i \(-0.305165\pi\)
−0.242270 + 0.970209i \(0.577892\pi\)
\(44\) −0.267070 1.85751i −0.0402623 0.280030i
\(45\) −2.21398 + 0.313524i −0.330040 + 0.0467374i
\(46\) 3.21819 3.55573i 0.474496 0.524264i
\(47\) 5.44474i 0.794198i −0.917776 0.397099i \(-0.870017\pi\)
0.917776 0.397099i \(-0.129983\pi\)
\(48\) 0.989821 0.142315i 0.142868 0.0205414i
\(49\) 2.19646 4.80957i 0.313780 0.687082i
\(50\) 2.68531 + 4.21771i 0.379760 + 0.596475i
\(51\) −2.64597 + 3.05361i −0.370510 + 0.427591i
\(52\) −1.09134 + 3.71676i −0.151341 + 0.515422i
\(53\) 4.25675 + 6.62363i 0.584710 + 0.909826i 1.00000 0.000137192i \(4.36697e-5\pi\)
−0.415290 + 0.909689i \(0.636320\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) 3.16546 + 2.75468i 0.426830 + 0.371441i
\(56\) −1.10092 0.707520i −0.147117 0.0945464i
\(57\) 4.93072 + 0.708931i 0.653090 + 0.0939002i
\(58\) 6.97165 + 1.00237i 0.915423 + 0.131618i
\(59\) 0.186393 + 0.119787i 0.0242663 + 0.0155950i 0.552718 0.833369i \(-0.313591\pi\)
−0.528451 + 0.848964i \(0.677227\pi\)
\(60\) −1.46790 + 1.68679i −0.189505 + 0.217764i
\(61\) 1.20058 + 2.62891i 0.153719 + 0.336597i 0.970787 0.239944i \(-0.0771292\pi\)
−0.817068 + 0.576541i \(0.804402\pi\)
\(62\) −2.95465 4.59753i −0.375241 0.583887i
\(63\) −0.368695 + 1.25566i −0.0464512 + 0.158198i
\(64\) 0.654861 0.755750i 0.0818576 0.0944687i
\(65\) −3.58149 7.88666i −0.444230 0.978220i
\(66\) −0.779573 + 1.70703i −0.0959588 + 0.210120i
\(67\) −4.34717 + 0.625028i −0.531091 + 0.0763594i −0.402643 0.915357i \(-0.631909\pi\)
−0.128448 + 0.991716i \(0.540999\pi\)
\(68\) 4.04051i 0.489984i
\(69\) −4.62969 + 1.25139i −0.557349 + 0.150650i
\(70\) 2.89737 0.410299i 0.346302 0.0490401i
\(71\) 1.57699 + 10.9682i 0.187154 + 1.30168i 0.839332 + 0.543618i \(0.182946\pi\)
−0.652179 + 0.758065i \(0.726145\pi\)
\(72\) −0.909632 0.415415i −0.107201 0.0489571i
\(73\) 0.479374 + 1.63260i 0.0561065 + 0.191081i 0.982778 0.184792i \(-0.0591611\pi\)
−0.926671 + 0.375873i \(0.877343\pi\)
\(74\) 2.91179 3.36038i 0.338488 0.390637i
\(75\) 0.0212394 4.99995i 0.00245252 0.577345i
\(76\) 4.19064 2.69316i 0.480700 0.308927i
\(77\) 2.23393 1.02020i 0.254580 0.116263i
\(78\) 2.92752 2.53671i 0.331477 0.287226i
\(79\) −5.25189 3.37518i −0.590883 0.379738i 0.210762 0.977537i \(-0.432405\pi\)
−0.801646 + 0.597800i \(0.796042\pi\)
\(80\) −0.00474929 + 2.23606i −0.000530986 + 0.249999i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 3.78775 5.89385i 0.418287 0.650867i
\(83\) 1.99365 1.72751i 0.218832 0.189619i −0.538545 0.842597i \(-0.681026\pi\)
0.757377 + 0.652978i \(0.226480\pi\)
\(84\) 0.543641 + 1.19041i 0.0593161 + 0.129884i
\(85\) −5.90206 6.84064i −0.640168 0.741971i
\(86\) −2.29856 0.674919i −0.247860 0.0727784i
\(87\) −5.32300 4.61241i −0.570686 0.494502i
\(88\) 0.528703 + 1.80060i 0.0563599 + 0.191944i
\(89\) 1.12079 2.45418i 0.118803 0.260143i −0.840883 0.541217i \(-0.817964\pi\)
0.959686 + 0.281075i \(0.0906909\pi\)
\(90\) 2.14682 0.625415i 0.226295 0.0659245i
\(91\) −5.06935 −0.531413
\(92\) −2.67940 + 3.97754i −0.279347 + 0.414687i
\(93\) 5.46509i 0.566704i
\(94\) 0.774868 + 5.38932i 0.0799215 + 0.555866i
\(95\) −3.16086 + 10.6809i −0.324297 + 1.09584i
\(96\) −0.959493 + 0.281733i −0.0979278 + 0.0287542i
\(97\) 6.97510 + 6.04395i 0.708214 + 0.613671i 0.932635 0.360822i \(-0.117504\pi\)
−0.224421 + 0.974492i \(0.572049\pi\)
\(98\) −1.48963 + 5.07321i −0.150475 + 0.512471i
\(99\) 1.57871 1.01457i 0.158666 0.101968i
\(100\) −3.25822 3.79262i −0.325822 0.379262i
\(101\) 10.4780 + 12.0923i 1.04260 + 1.20323i 0.978706 + 0.205269i \(0.0658068\pi\)
0.0638950 + 0.997957i \(0.479648\pi\)
\(102\) 2.18446 3.39909i 0.216294 0.336560i
\(103\) −4.05369 0.582832i −0.399422 0.0574282i −0.0603229 0.998179i \(-0.519213\pi\)
−0.339099 + 0.940751i \(0.610122\pi\)
\(104\) 0.551281 3.83424i 0.0540575 0.375978i
\(105\) −2.65924 1.22127i −0.259516 0.119184i
\(106\) −5.15607 5.95042i −0.500801 0.577956i
\(107\) −6.54875 + 2.99072i −0.633092 + 0.289123i −0.705996 0.708216i \(-0.749500\pi\)
0.0729043 + 0.997339i \(0.476773\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) −10.9350 3.21081i −1.04739 0.307540i −0.287625 0.957743i \(-0.592866\pi\)
−0.759761 + 0.650203i \(0.774684\pi\)
\(110\) −3.52527 2.27615i −0.336121 0.217022i
\(111\) −4.26631 + 1.25270i −0.404940 + 0.118901i
\(112\) 1.19041 + 0.543641i 0.112483 + 0.0513692i
\(113\) 9.32685 1.34100i 0.877396 0.126150i 0.311124 0.950369i \(-0.399294\pi\)
0.566272 + 0.824219i \(0.308385\pi\)
\(114\) −4.98143 −0.466553
\(115\) −1.27381 10.6479i −0.118784 0.992920i
\(116\) −7.04334 −0.653958
\(117\) −3.83424 + 0.551281i −0.354476 + 0.0509659i
\(118\) −0.201543 0.0920417i −0.0185536 0.00847313i
\(119\) −5.07350 + 1.48971i −0.465087 + 0.136562i
\(120\) 1.21290 1.87853i 0.110722 0.171485i
\(121\) 7.17540 + 2.10689i 0.652309 + 0.191535i
\(122\) −1.56249 2.43129i −0.141462 0.220118i
\(123\) −6.37291 + 2.91041i −0.574626 + 0.262423i
\(124\) 3.57887 + 4.13024i 0.321392 + 0.370907i
\(125\) 11.0562 + 1.66161i 0.988895 + 0.148619i
\(126\) 0.186243 1.29535i 0.0165919 0.115399i
\(127\) 5.05050 + 0.726152i 0.448159 + 0.0644356i 0.362700 0.931906i \(-0.381855\pi\)
0.0854596 + 0.996342i \(0.472764\pi\)
\(128\) −0.540641 + 0.841254i −0.0477863 + 0.0743570i
\(129\) 1.56878 + 1.81047i 0.138124 + 0.159403i
\(130\) 4.66743 + 7.29669i 0.409361 + 0.639962i
\(131\) 9.19708 5.91060i 0.803553 0.516412i −0.0732207 0.997316i \(-0.523328\pi\)
0.876773 + 0.480904i \(0.159691\pi\)
\(132\) 0.528703 1.80060i 0.0460177 0.156722i
\(133\) 4.92676 + 4.26906i 0.427205 + 0.370175i
\(134\) 4.21397 1.23733i 0.364032 0.106889i
\(135\) −2.14415 0.634529i −0.184539 0.0546115i
\(136\) −0.575024 3.99938i −0.0493079 0.342944i
\(137\) 21.3399i 1.82319i −0.411088 0.911596i \(-0.634851\pi\)
0.411088 0.911596i \(-0.365149\pi\)
\(138\) 4.40447 1.89753i 0.374934 0.161528i
\(139\) 13.3266 1.13035 0.565175 0.824971i \(-0.308809\pi\)
0.565175 + 0.824971i \(0.308809\pi\)
\(140\) −2.80948 + 0.818461i −0.237445 + 0.0691726i
\(141\) 2.26183 4.95271i 0.190480 0.417094i
\(142\) −3.12187 10.6321i −0.261982 0.892227i
\(143\) 5.49383 + 4.76043i 0.459417 + 0.398087i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 11.9245 10.2884i 0.990274 0.854402i
\(146\) −0.706837 1.54776i −0.0584983 0.128093i
\(147\) 3.99594 3.46250i 0.329579 0.285582i
\(148\) −2.40392 + 3.74057i −0.197601 + 0.307473i
\(149\) 2.93983 20.4469i 0.240840 1.67508i −0.407097 0.913385i \(-0.633459\pi\)
0.647937 0.761694i \(-0.275632\pi\)
\(150\) 0.690545 + 4.95209i 0.0563827 + 0.404336i
\(151\) 11.3180 + 7.27365i 0.921048 + 0.591921i 0.912961 0.408046i \(-0.133790\pi\)
0.00808633 + 0.999967i \(0.497426\pi\)
\(152\) −3.76471 + 3.26214i −0.305358 + 0.264595i
\(153\) −3.67538 + 1.67849i −0.297137 + 0.135698i
\(154\) −2.06601 + 1.32774i −0.166483 + 0.106992i
\(155\) −12.0922 1.76482i −0.971270 0.141754i
\(156\) −2.53671 + 2.92752i −0.203100 + 0.234389i
\(157\) −3.21971 10.9653i −0.256961 0.875129i −0.982392 0.186833i \(-0.940178\pi\)
0.725431 0.688295i \(-0.241641\pi\)
\(158\) 5.67877 + 2.59341i 0.451779 + 0.206320i
\(159\) 1.12052 + 7.79339i 0.0888630 + 0.618056i
\(160\) −0.313524 2.21398i −0.0247862 0.175030i
\(161\) −5.98231 1.89792i −0.471472 0.149577i
\(162\) 1.00000i 0.0785674i
\(163\) 20.3714 2.92897i 1.59562 0.229415i 0.713571 0.700582i \(-0.247076\pi\)
0.882044 + 0.471168i \(0.156167\pi\)
\(164\) −2.91041 + 6.37291i −0.227265 + 0.497641i
\(165\) 1.73507 + 3.82072i 0.135075 + 0.297443i
\(166\) −1.72751 + 1.99365i −0.134081 + 0.154737i
\(167\) 5.48699 18.6870i 0.424596 1.44604i −0.418469 0.908231i \(-0.637433\pi\)
0.843065 0.537811i \(-0.180749\pi\)
\(168\) −0.707520 1.10092i −0.0545864 0.0849380i
\(169\) −0.833036 1.82409i −0.0640797 0.140315i
\(170\) 6.81551 + 5.93106i 0.522725 + 0.454892i
\(171\) 4.19064 + 2.69316i 0.320466 + 0.205951i
\(172\) 2.37122 + 0.340930i 0.180804 + 0.0259956i
\(173\) 6.80930 + 0.979030i 0.517702 + 0.0744343i 0.396213 0.918159i \(-0.370324\pi\)
0.121489 + 0.992593i \(0.461233\pi\)
\(174\) 5.92524 + 3.80792i 0.449191 + 0.288678i
\(175\) 3.56095 5.48954i 0.269183 0.414970i
\(176\) −0.779573 1.70703i −0.0587625 0.128672i
\(177\) 0.119787 + 0.186393i 0.00900378 + 0.0140102i
\(178\) −0.760113 + 2.58871i −0.0569729 + 0.194032i
\(179\) −6.02416 + 6.95225i −0.450267 + 0.519635i −0.934818 0.355127i \(-0.884437\pi\)
0.484551 + 0.874763i \(0.338983\pi\)
\(180\) −2.03597 + 0.924574i −0.151752 + 0.0689137i
\(181\) 7.37317 16.1450i 0.548043 1.20005i −0.409646 0.912244i \(-0.634348\pi\)
0.957690 0.287803i \(-0.0929248\pi\)
\(182\) 5.01775 0.721444i 0.371941 0.0534770i
\(183\) 2.89008i 0.213641i
\(184\) 2.08606 4.31837i 0.153787 0.318355i
\(185\) −1.39406 9.84429i −0.102493 0.723766i
\(186\) −0.777764 5.40946i −0.0570284 0.396641i
\(187\) 6.89726 + 3.14987i 0.504377 + 0.230341i
\(188\) −1.53396 5.22419i −0.111876 0.381013i
\(189\) −0.856996 + 0.989026i −0.0623373 + 0.0719411i
\(190\) 1.60863 11.0220i 0.116702 0.799623i
\(191\) −2.35449 + 1.51314i −0.170365 + 0.109487i −0.623044 0.782186i \(-0.714104\pi\)
0.452680 + 0.891673i \(0.350468\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) −17.3683 + 15.0497i −1.25020 + 1.08330i −0.257057 + 0.966396i \(0.582753\pi\)
−0.993143 + 0.116908i \(0.962702\pi\)
\(194\) −7.76424 4.98978i −0.557440 0.358245i
\(195\) 0.0183972 8.66177i 0.00131745 0.620282i
\(196\) 0.752473 5.23357i 0.0537481 0.373826i
\(197\) 10.0472 15.6338i 0.715834 1.11386i −0.272589 0.962131i \(-0.587880\pi\)
0.988422 0.151728i \(-0.0484838\pi\)
\(198\) −1.41825 + 1.22892i −0.100791 + 0.0873355i
\(199\) 5.17052 + 11.3219i 0.366528 + 0.802585i 0.999594 + 0.0284871i \(0.00906894\pi\)
−0.633066 + 0.774098i \(0.718204\pi\)
\(200\) 3.76480 + 3.29033i 0.266212 + 0.232661i
\(201\) −4.21397 1.23733i −0.297231 0.0872748i
\(202\) −12.0923 10.4780i −0.850809 0.737230i
\(203\) −2.59684 8.84404i −0.182263 0.620730i
\(204\) −1.67849 + 3.67538i −0.117518 + 0.257328i
\(205\) −4.38168 15.0407i −0.306030 1.05049i
\(206\) 4.09537 0.285338
\(207\) −4.73116 0.784939i −0.328838 0.0545570i
\(208\) 3.87367i 0.268591i
\(209\) −1.33039 9.25306i −0.0920249 0.640047i
\(210\) 2.80598 + 0.830388i 0.193631 + 0.0573022i
\(211\) −4.03941 + 1.18608i −0.278085 + 0.0816530i −0.417801 0.908539i \(-0.637199\pi\)
0.139716 + 0.990192i \(0.455381\pi\)
\(212\) 5.95042 + 5.15607i 0.408676 + 0.354120i
\(213\) −3.12187 + 10.6321i −0.213907 + 0.728500i
\(214\) 6.05647 3.89226i 0.414012 0.266069i
\(215\) −4.51251 + 2.88649i −0.307750 + 0.196857i
\(216\) −0.654861 0.755750i −0.0445576 0.0514222i
\(217\) −3.86666 + 6.01664i −0.262486 + 0.408436i
\(218\) 11.2807 + 1.62192i 0.764023 + 0.109850i
\(219\) −0.242152 + 1.68420i −0.0163631 + 0.113808i
\(220\) 3.81332 + 1.75128i 0.257094 + 0.118071i
\(221\) −10.2496 11.8287i −0.689464 0.795684i
\(222\) 4.04461 1.84711i 0.271456 0.123970i
\(223\) −6.41107 9.97583i −0.429317 0.668031i 0.557443 0.830215i \(-0.311782\pi\)
−0.986760 + 0.162184i \(0.948146\pi\)
\(224\) −1.25566 0.368695i −0.0838973 0.0246345i
\(225\) 2.09638 4.53930i 0.139758 0.302620i
\(226\) −9.04107 + 2.65470i −0.601403 + 0.176588i
\(227\) 17.1853 + 7.84825i 1.14063 + 0.520906i 0.893939 0.448189i \(-0.147931\pi\)
0.246687 + 0.969095i \(0.420658\pi\)
\(228\) 4.93072 0.708931i 0.326545 0.0469501i
\(229\) 1.92266 0.127053 0.0635265 0.997980i \(-0.479765\pi\)
0.0635265 + 0.997980i \(0.479765\pi\)
\(230\) 2.77620 + 10.3582i 0.183057 + 0.683001i
\(231\) 2.45587 0.161584
\(232\) 6.97165 1.00237i 0.457711 0.0658090i
\(233\) 20.3707 + 9.30296i 1.33453 + 0.609457i 0.949592 0.313487i \(-0.101497\pi\)
0.384933 + 0.922944i \(0.374224\pi\)
\(234\) 3.71676 1.09134i 0.242972 0.0713430i
\(235\) 10.2281 + 6.60394i 0.667208 + 0.430794i
\(236\) 0.212591 + 0.0624223i 0.0138385 + 0.00406335i
\(237\) −3.37518 5.25189i −0.219242 0.341147i
\(238\) 4.80985 2.19659i 0.311777 0.142384i
\(239\) 5.65719 + 6.52874i 0.365933 + 0.422309i 0.908619 0.417627i \(-0.137138\pi\)
−0.542686 + 0.839936i \(0.682592\pi\)
\(240\) −0.933214 + 2.03202i −0.0602387 + 0.131166i
\(241\) 1.72378 11.9891i 0.111038 0.772288i −0.855875 0.517183i \(-0.826981\pi\)
0.966913 0.255106i \(-0.0821102\pi\)
\(242\) −7.40221 1.06428i −0.475832 0.0684143i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) 1.89260 + 2.18417i 0.121161 + 0.139827i
\(245\) 6.37083 + 9.95965i 0.407017 + 0.636299i
\(246\) 5.89385 3.78775i 0.375778 0.241498i
\(247\) −5.43642 + 18.5148i −0.345911 + 1.17807i
\(248\) −4.13024 3.57887i −0.262271 0.227259i
\(249\) 2.53112 0.743205i 0.160403 0.0470987i
\(250\) −11.1801 0.0712389i −0.707092 0.00450554i
\(251\) −0.758701 5.27688i −0.0478888 0.333074i −0.999655 0.0262509i \(-0.991643\pi\)
0.951767 0.306823i \(-0.0992660\pi\)
\(252\) 1.30867i 0.0824384i
\(253\) 4.70098 + 7.67459i 0.295548 + 0.482497i
\(254\) −5.10243 −0.320155
\(255\) −2.52699 8.67427i −0.158247 0.543204i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 2.27790 + 7.75783i 0.142092 + 0.483920i 0.999530 0.0306673i \(-0.00976324\pi\)
−0.857438 + 0.514588i \(0.827945\pi\)
\(258\) −1.81047 1.56878i −0.112715 0.0976683i
\(259\) −5.58319 1.63937i −0.346923 0.101866i
\(260\) −5.65835 6.55817i −0.350916 0.406721i
\(261\) −2.92591 6.40685i −0.181109 0.396574i
\(262\) −8.26230 + 7.15932i −0.510447 + 0.442305i
\(263\) −11.4412 + 17.8028i −0.705492 + 1.09777i 0.284776 + 0.958594i \(0.408081\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(264\) −0.267070 + 1.85751i −0.0164370 + 0.114322i
\(265\) −17.6057 0.0373936i −1.08151 0.00229707i
\(266\) −5.48417 3.52446i −0.336256 0.216099i
\(267\) 2.03901 1.76681i 0.124785 0.108127i
\(268\) −3.99499 + 1.82445i −0.244033 + 0.111446i
\(269\) 25.6097 16.4584i 1.56145 1.00348i 0.579362 0.815071i \(-0.303302\pi\)
0.982090 0.188413i \(-0.0603345\pi\)
\(270\) 2.21263 + 0.322926i 0.134656 + 0.0196526i
\(271\) −15.9317 + 18.3862i −0.967785 + 1.11688i 0.0253230 + 0.999679i \(0.491939\pi\)
−0.993108 + 0.117204i \(0.962607\pi\)
\(272\) 1.13834 + 3.87684i 0.0690222 + 0.235068i
\(273\) −4.61125 2.10589i −0.279085 0.127454i
\(274\) 3.03699 + 21.1227i 0.183471 + 1.27607i
\(275\) −9.01413 + 2.60525i −0.543572 + 0.157102i
\(276\) −4.08960 + 2.50503i −0.246165 + 0.150785i
\(277\) 15.5537i 0.934532i 0.884117 + 0.467266i \(0.154761\pi\)
−0.884117 + 0.467266i \(0.845239\pi\)
\(278\) −13.1910 + 1.89658i −0.791142 + 0.113749i
\(279\) −2.27028 + 4.97122i −0.135918 + 0.297619i
\(280\) 2.66441 1.20996i 0.159229 0.0723091i
\(281\) 0.529109 0.610625i 0.0315640 0.0364268i −0.739748 0.672884i \(-0.765055\pi\)
0.771312 + 0.636457i \(0.219601\pi\)
\(282\) −1.53396 + 5.22419i −0.0913461 + 0.311096i
\(283\) −13.0717 20.3399i −0.777030 1.20908i −0.973526 0.228577i \(-0.926593\pi\)
0.196496 0.980505i \(-0.437044\pi\)
\(284\) 4.60320 + 10.0796i 0.273150 + 0.598115i
\(285\) −7.31223 + 8.40264i −0.433139 + 0.497729i
\(286\) −6.11539 3.93012i −0.361610 0.232393i
\(287\) −9.07526 1.30483i −0.535696 0.0770214i
\(288\) −0.989821 0.142315i −0.0583258 0.00838598i
\(289\) 0.567241 + 0.364544i 0.0333671 + 0.0214438i
\(290\) −10.3389 + 11.8807i −0.607122 + 0.697657i
\(291\) 3.83402 + 8.39533i 0.224754 + 0.492143i
\(292\) 0.919912 + 1.43141i 0.0538338 + 0.0837670i
\(293\) 6.43776 21.9250i 0.376098 1.28087i −0.526421 0.850224i \(-0.676467\pi\)
0.902520 0.430649i \(-0.141715\pi\)
\(294\) −3.46250 + 3.99594i −0.201937 + 0.233048i
\(295\) −0.451101 + 0.204854i −0.0262641 + 0.0119271i
\(296\) 1.84711 4.04461i 0.107361 0.235088i
\(297\) 1.85751 0.267070i 0.107784 0.0154970i
\(298\) 20.6572i 1.19664i
\(299\) −2.24587 18.4412i −0.129882 1.06648i
\(300\) −1.38827 4.80341i −0.0801519 0.277325i
\(301\) 0.446164 + 3.10314i 0.0257165 + 0.178862i
\(302\) −12.2380 5.58889i −0.704216 0.321605i
\(303\) 4.50782 + 15.3522i 0.258968 + 0.881963i
\(304\) 3.26214 3.76471i 0.187097 0.215921i
\(305\) −6.39466 0.933281i −0.366157 0.0534395i
\(306\) 3.39909 2.18446i 0.194313 0.124878i
\(307\) −25.6295 + 11.7046i −1.46275 + 0.668016i −0.978374 0.206844i \(-0.933681\pi\)
−0.484376 + 0.874860i \(0.660953\pi\)
\(308\) 1.85602 1.60825i 0.105757 0.0916385i
\(309\) −3.44525 2.21413i −0.195993 0.125957i
\(310\) 12.2203 + 0.0259553i 0.694066 + 0.00147416i
\(311\) −4.11481 + 28.6191i −0.233329 + 1.62284i 0.450207 + 0.892924i \(0.351350\pi\)
−0.683536 + 0.729916i \(0.739559\pi\)
\(312\) 2.09426 3.25874i 0.118564 0.184490i
\(313\) 1.61767 1.40172i 0.0914363 0.0792300i −0.607943 0.793980i \(-0.708005\pi\)
0.699380 + 0.714750i \(0.253460\pi\)
\(314\) 4.74747 + 10.3955i 0.267915 + 0.586652i
\(315\) −1.91160 2.21560i −0.107706 0.124835i
\(316\) −5.99005 1.75884i −0.336966 0.0989423i
\(317\) 0.383519 + 0.332321i 0.0215406 + 0.0186650i 0.665565 0.746340i \(-0.268191\pi\)
−0.644024 + 0.765005i \(0.722736\pi\)
\(318\) −2.21823 7.55460i −0.124392 0.423641i
\(319\) −5.49080 + 12.0232i −0.307426 + 0.673169i
\(320\) 0.625415 + 2.14682i 0.0349618 + 0.120011i
\(321\) −7.19934 −0.401828
\(322\) 6.19152 + 1.02723i 0.345040 + 0.0572450i
\(323\) 20.1275i 1.11992i
\(324\) 0.142315 + 0.989821i 0.00790638 + 0.0549901i
\(325\) 19.1593 + 2.83781i 1.06277 + 0.157414i
\(326\) −19.7473 + 5.79832i −1.09370 + 0.321139i
\(327\) −8.61303 7.46323i −0.476302 0.412718i
\(328\) 1.97383 6.72224i 0.108986 0.371174i
\(329\) 5.99424 3.85227i 0.330473 0.212382i
\(330\) −2.26115 3.53491i −0.124472 0.194590i
\(331\) 0.596299 + 0.688166i 0.0327756 + 0.0378250i 0.771901 0.635743i \(-0.219306\pi\)
−0.739125 + 0.673568i \(0.764761\pi\)
\(332\) 1.42620 2.21921i 0.0782729 0.121795i
\(333\) −4.40116 0.632792i −0.241182 0.0346768i
\(334\) −2.77171 + 19.2777i −0.151661 + 1.05483i
\(335\) 4.09856 8.92438i 0.223928 0.487591i
\(336\) 0.856996 + 0.989026i 0.0467530 + 0.0539558i
\(337\) −10.6173 + 4.84877i −0.578362 + 0.264129i −0.683045 0.730376i \(-0.739345\pi\)
0.104682 + 0.994506i \(0.466617\pi\)
\(338\) 1.08415 + 1.68697i 0.0589701 + 0.0917593i
\(339\) 9.04107 + 2.65470i 0.491043 + 0.144183i
\(340\) −7.59021 4.90074i −0.411637 0.265780i
\(341\) 9.84042 2.88941i 0.532889 0.156470i
\(342\) −4.53127 2.06936i −0.245023 0.111898i
\(343\) 15.9165 2.28844i 0.859408 0.123564i
\(344\) −2.39560 −0.129162
\(345\) 3.26459 10.2148i 0.175760 0.549947i
\(346\) −6.87933 −0.369835
\(347\) −5.18354 + 0.745280i −0.278267 + 0.0400087i −0.280035 0.959990i \(-0.590346\pi\)
0.00176845 + 0.999998i \(0.499437\pi\)
\(348\) −6.40685 2.92591i −0.343443 0.156845i
\(349\) −31.5523 + 9.26458i −1.68895 + 0.495921i −0.978225 0.207545i \(-0.933453\pi\)
−0.710728 + 0.703467i \(0.751634\pi\)
\(350\) −2.74346 + 5.94044i −0.146644 + 0.317530i
\(351\) −3.71676 1.09134i −0.198386 0.0582513i
\(352\) 1.01457 + 1.57871i 0.0540769 + 0.0841454i
\(353\) −19.8557 + 9.06780i −1.05681 + 0.482630i −0.866543 0.499102i \(-0.833663\pi\)
−0.190269 + 0.981732i \(0.560936\pi\)
\(354\) −0.145095 0.167448i −0.00771170 0.00889977i
\(355\) −22.5168 10.3409i −1.19507 0.548839i
\(356\) 0.383965 2.67053i 0.0203501 0.141538i
\(357\) −5.23387 0.752517i −0.277006 0.0398274i
\(358\) 4.97343 7.73881i 0.262854 0.409009i
\(359\) 8.52431 + 9.83758i 0.449896 + 0.519208i 0.934711 0.355409i \(-0.115658\pi\)
−0.484815 + 0.874617i \(0.661113\pi\)
\(360\) 1.88366 1.20491i 0.0992778 0.0635044i
\(361\) 4.89157 3.14362i 0.257451 0.165454i
\(362\) −5.00045 + 17.0300i −0.262818 + 0.895075i
\(363\) 5.65174 + 4.89726i 0.296640 + 0.257040i
\(364\) −4.86401 + 1.42820i −0.254943 + 0.0748581i
\(365\) −3.64831 1.07966i −0.190961 0.0565122i
\(366\) −0.411301 2.86066i −0.0214990 0.149529i
\(367\) 8.23529i 0.429879i −0.976627 0.214939i \(-0.931045\pi\)
0.976627 0.214939i \(-0.0689554\pi\)
\(368\) −1.45026 + 4.57129i −0.0756002 + 0.238295i
\(369\) −7.00603 −0.364719
\(370\) 2.78086 + 9.54569i 0.144570 + 0.496257i
\(371\) −4.28037 + 9.37271i −0.222226 + 0.486607i
\(372\) 1.53969 + 5.24372i 0.0798294 + 0.271874i
\(373\) 18.5068 + 16.0363i 0.958248 + 0.830327i 0.985565 0.169300i \(-0.0541507\pi\)
−0.0273165 + 0.999627i \(0.508696\pi\)
\(374\) −7.27533 2.13623i −0.376198 0.110462i
\(375\) 9.36679 + 6.10436i 0.483699 + 0.315228i
\(376\) 2.26183 + 4.95271i 0.116645 + 0.255417i
\(377\) 20.6196 17.8669i 1.06196 0.920195i
\(378\) 0.707520 1.10092i 0.0363909 0.0566254i
\(379\) −1.34050 + 9.32340i −0.0688570 + 0.478911i 0.925992 + 0.377543i \(0.123231\pi\)
−0.994849 + 0.101368i \(0.967678\pi\)
\(380\) −0.0236582 + 11.1388i −0.00121364 + 0.571408i
\(381\) 4.29244 + 2.75858i 0.219908 + 0.141327i
\(382\) 2.11518 1.83281i 0.108222 0.0937749i
\(383\) −21.3625 + 9.75595i −1.09157 + 0.498506i −0.878117 0.478447i \(-0.841200\pi\)
−0.213458 + 0.976952i \(0.568473\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) −0.793063 + 5.43391i −0.0404182 + 0.276938i
\(386\) 15.0497 17.3683i 0.766012 0.884025i
\(387\) 0.674919 + 2.29856i 0.0343080 + 0.116842i
\(388\) 8.39533 + 3.83402i 0.426208 + 0.194643i
\(389\) −3.47628 24.1780i −0.176254 1.22588i −0.865336 0.501192i \(-0.832895\pi\)
0.689082 0.724684i \(-0.258014\pi\)
\(390\) 1.21449 + 8.57622i 0.0614980 + 0.434274i
\(391\) −7.66697 17.7963i −0.387735 0.899999i
\(392\) 5.28738i 0.267053i
\(393\) 10.8213 1.55587i 0.545863 0.0784833i
\(394\) −7.72002 + 16.9045i −0.388929 + 0.851636i
\(395\) 12.7104 5.77205i 0.639530 0.290423i
\(396\) 1.22892 1.41825i 0.0617555 0.0712697i
\(397\) 2.52405 8.59614i 0.126679 0.431428i −0.871591 0.490234i \(-0.836911\pi\)
0.998269 + 0.0588063i \(0.0187294\pi\)
\(398\) −6.72916 10.4708i −0.337302 0.524852i
\(399\) 2.70811 + 5.92993i 0.135575 + 0.296868i
\(400\) −4.19475 2.72105i −0.209737 0.136052i
\(401\) 9.27627 + 5.96150i 0.463235 + 0.297703i 0.751363 0.659889i \(-0.229397\pi\)
−0.288128 + 0.957592i \(0.593033\pi\)
\(402\) 4.34717 + 0.625028i 0.216817 + 0.0311736i
\(403\) −20.9545 3.01280i −1.04382 0.150078i
\(404\) 13.4604 + 8.65045i 0.669678 + 0.430376i
\(405\) −1.68679 1.46790i −0.0838174 0.0729405i
\(406\) 3.82905 + 8.38445i 0.190033 + 0.416113i
\(407\) 4.51122 + 7.01960i 0.223613 + 0.347949i
\(408\) 1.13834 3.87684i 0.0563564 0.191932i
\(409\) −12.5575 + 14.4921i −0.620929 + 0.716591i −0.975883 0.218293i \(-0.929951\pi\)
0.354954 + 0.934884i \(0.384497\pi\)
\(410\) 6.47759 + 14.2641i 0.319906 + 0.704451i
\(411\) 8.86492 19.4115i 0.437274 0.957497i
\(412\) −4.05369 + 0.582832i −0.199711 + 0.0287141i
\(413\) 0.289956i 0.0142678i
\(414\) 4.79471 + 0.103635i 0.235647 + 0.00509338i
\(415\) 0.827070 + 5.84043i 0.0405993 + 0.286695i
\(416\) −0.551281 3.83424i −0.0270288 0.187989i
\(417\) 12.1223 + 5.53608i 0.593633 + 0.271103i
\(418\) 2.63369 + 8.96954i 0.128818 + 0.438715i
\(419\) 18.5356 21.3912i 0.905521 1.04503i −0.0932589 0.995642i \(-0.529728\pi\)
0.998780 0.0493849i \(-0.0157261\pi\)
\(420\) −2.89560 0.422603i −0.141291 0.0206209i
\(421\) 4.46858 2.87178i 0.217785 0.139962i −0.427200 0.904157i \(-0.640500\pi\)
0.644985 + 0.764195i \(0.276864\pi\)
\(422\) 3.82950 1.74888i 0.186417 0.0851339i
\(423\) 4.11486 3.56555i 0.200071 0.173363i
\(424\) −6.62363 4.25675i −0.321672 0.206726i
\(425\) 20.0089 2.79015i 0.970577 0.135342i
\(426\) 1.57699 10.9682i 0.0764053 0.531410i
\(427\) −2.04479 + 3.18175i −0.0989542 + 0.153976i
\(428\) −5.44090 + 4.71457i −0.262996 + 0.227887i
\(429\) 3.01981 + 6.61246i 0.145798 + 0.319252i
\(430\) 4.05578 3.49930i 0.195587 0.168751i
\(431\) 33.1517 + 9.73423i 1.59686 + 0.468881i 0.954671 0.297663i \(-0.0962070\pi\)
0.642192 + 0.766544i \(0.278025\pi\)
\(432\) 0.755750 + 0.654861i 0.0363610 + 0.0315070i
\(433\) −9.74250 33.1799i −0.468195 1.59453i −0.767950 0.640509i \(-0.778723\pi\)
0.299755 0.954016i \(-0.403095\pi\)
\(434\) 2.97105 6.50569i 0.142615 0.312283i
\(435\) 15.1208 4.40501i 0.724988 0.211204i
\(436\) −11.3967 −0.545802
\(437\) −13.3472 + 19.8138i −0.638485 + 0.947824i
\(438\) 1.70152i 0.0813018i
\(439\) 5.65919 + 39.3605i 0.270098 + 1.87857i 0.447276 + 0.894396i \(0.352394\pi\)
−0.177178 + 0.984179i \(0.556697\pi\)
\(440\) −4.02374 1.19076i −0.191824 0.0567675i
\(441\) 5.07321 1.48963i 0.241581 0.0709347i
\(442\) 11.8287 + 10.2496i 0.562633 + 0.487525i
\(443\) −4.23299 + 14.4162i −0.201115 + 0.684936i 0.795736 + 0.605643i \(0.207084\pi\)
−0.996851 + 0.0792923i \(0.974734\pi\)
\(444\) −3.74057 + 2.40392i −0.177520 + 0.114085i
\(445\) 3.25084 + 5.08211i 0.154105 + 0.240915i
\(446\) 7.76553 + 8.96190i 0.367708 + 0.424358i
\(447\) 11.1681 17.3779i 0.528234 0.821949i
\(448\) 1.29535 + 0.186243i 0.0611995 + 0.00879916i
\(449\) 2.69313 18.7311i 0.127096 0.883975i −0.822112 0.569326i \(-0.807204\pi\)
0.949208 0.314649i \(-0.101887\pi\)
\(450\) −1.42903 + 4.79144i −0.0673651 + 0.225871i
\(451\) 8.60985 + 9.93630i 0.405422 + 0.467882i
\(452\) 8.57124 3.91435i 0.403157 0.184116i
\(453\) 7.27365 + 11.3180i 0.341746 + 0.531767i
\(454\) −18.1273 5.32264i −0.850755 0.249804i
\(455\) 6.14863 9.52292i 0.288252 0.446441i
\(456\) −4.77964 + 1.40343i −0.223827 + 0.0657216i
\(457\) −21.9180 10.0096i −1.02528 0.468229i −0.169478 0.985534i \(-0.554208\pi\)
−0.855801 + 0.517305i \(0.826935\pi\)
\(458\) −1.90309 + 0.273623i −0.0889257 + 0.0127856i
\(459\) −4.04051 −0.188595
\(460\) −4.22207 9.85769i −0.196855 0.459617i
\(461\) −7.65334 −0.356452 −0.178226 0.983990i \(-0.557036\pi\)
−0.178226 + 0.983990i \(0.557036\pi\)
\(462\) −2.43087 + 0.349506i −0.113094 + 0.0162605i
\(463\) −14.1535 6.46368i −0.657768 0.300392i 0.0584283 0.998292i \(-0.481391\pi\)
−0.716196 + 0.697899i \(0.754118\pi\)
\(464\) −6.75804 + 1.98434i −0.313734 + 0.0921206i
\(465\) −10.2663 6.62862i −0.476090 0.307395i
\(466\) −21.4873 6.30923i −0.995378 0.292269i
\(467\) 14.7396 + 22.9352i 0.682066 + 1.06132i 0.993804 + 0.111147i \(0.0354525\pi\)
−0.311738 + 0.950168i \(0.600911\pi\)
\(468\) −3.52361 + 1.60918i −0.162879 + 0.0743844i
\(469\) −3.76382 4.34368i −0.173797 0.200572i
\(470\) −11.0638 5.08111i −0.510337 0.234374i
\(471\) 1.62641 11.3119i 0.0749410 0.521226i
\(472\) −0.219311 0.0315321i −0.0100946 0.00145138i
\(473\) 2.43051 3.78195i 0.111755 0.173894i
\(474\) 4.08825 + 4.71809i 0.187780 + 0.216709i
\(475\) −16.2306 18.8927i −0.744711 0.866855i
\(476\) −4.44829 + 2.85874i −0.203887 + 0.131030i
\(477\) −2.21823 + 7.55460i −0.101566 + 0.345901i
\(478\) −6.52874 5.65719i −0.298618 0.258754i
\(479\) −26.9626 + 7.91693i −1.23195 + 0.361734i −0.831986 0.554797i \(-0.812796\pi\)
−0.399965 + 0.916530i \(0.630978\pi\)
\(480\) 0.634529 2.14415i 0.0289621 0.0978665i
\(481\) −2.45123 17.0487i −0.111766 0.777352i
\(482\) 12.1124i 0.551706i
\(483\) −4.65328 4.21155i −0.211732 0.191632i
\(484\) 7.47833 0.339924
\(485\) −19.8138 + 5.77219i −0.899700 + 0.262102i
\(486\) 0.415415 0.909632i 0.0188436 0.0412617i
\(487\) 2.68137 + 9.13192i 0.121505 + 0.413807i 0.997672 0.0682010i \(-0.0217259\pi\)
−0.876167 + 0.482008i \(0.839908\pi\)
\(488\) −2.18417 1.89260i −0.0988729 0.0856739i
\(489\) 19.7473 + 5.79832i 0.893002 + 0.262209i
\(490\) −7.72339 8.95161i −0.348907 0.404393i
\(491\) −8.17911 17.9097i −0.369118 0.808256i −0.999489 0.0319617i \(-0.989825\pi\)
0.630371 0.776294i \(-0.282903\pi\)
\(492\) −5.29481 + 4.58798i −0.238708 + 0.206842i
\(493\) 15.3859 23.9410i 0.692948 1.07825i
\(494\) 2.74616 19.1000i 0.123556 0.859349i
\(495\) −0.00891257 + 4.19622i −0.000400590 + 0.188606i
\(496\) 4.59753 + 2.95465i 0.206435 + 0.132668i
\(497\) −10.9594 + 9.49635i −0.491595 + 0.425970i
\(498\) −2.39959 + 1.09586i −0.107528 + 0.0491065i
\(499\) 23.0092 14.7871i 1.03003 0.661961i 0.0875296 0.996162i \(-0.472103\pi\)
0.942502 + 0.334201i \(0.108466\pi\)
\(500\) 11.0765 1.52058i 0.495354 0.0680025i
\(501\) 12.7540 14.7189i 0.569807 0.657592i
\(502\) 1.50196 + 5.11520i 0.0670356 + 0.228302i
\(503\) 1.18400 + 0.540716i 0.0527921 + 0.0241094i 0.441636 0.897194i \(-0.354398\pi\)
−0.388844 + 0.921304i \(0.627125\pi\)
\(504\) −0.186243 1.29535i −0.00829593 0.0576994i
\(505\) −35.4245 + 5.01650i −1.57637 + 0.223231i
\(506\) −5.74534 6.92745i −0.255411 0.307963i
\(507\) 2.00531i 0.0890589i
\(508\) 5.05050 0.726152i 0.224080 0.0322178i
\(509\) 0.442221 0.968329i 0.0196011 0.0429204i −0.899578 0.436760i \(-0.856126\pi\)
0.919179 + 0.393839i \(0.128853\pi\)
\(510\) 3.73575 + 8.22635i 0.165422 + 0.364269i
\(511\) −1.45820 + 1.68285i −0.0645068 + 0.0744449i
\(512\) −0.281733 + 0.959493i −0.0124509 + 0.0424040i
\(513\) 2.69316 + 4.19064i 0.118906 + 0.185021i
\(514\) −3.35877 7.35469i −0.148149 0.324401i
\(515\) 6.01160 6.90805i 0.264903 0.304405i
\(516\) 2.01531 + 1.29516i 0.0887190 + 0.0570162i
\(517\) −10.1137 1.45413i −0.444799 0.0639524i
\(518\) 5.75967 + 0.828116i 0.253065 + 0.0363853i
\(519\) 5.78726 + 3.71924i 0.254032 + 0.163257i
\(520\) 6.53408 + 5.68615i 0.286538 + 0.249354i
\(521\) 16.8684 + 36.9366i 0.739017 + 1.61822i 0.785164 + 0.619288i \(0.212579\pi\)
−0.0461465 + 0.998935i \(0.514694\pi\)
\(522\) 3.80792 + 5.92524i 0.166668 + 0.259341i
\(523\) 2.67359 9.10541i 0.116908 0.398152i −0.880160 0.474678i \(-0.842565\pi\)
0.997068 + 0.0765258i \(0.0243828\pi\)
\(524\) 7.15932 8.26230i 0.312757 0.360940i
\(525\) 5.51959 3.51419i 0.240895 0.153372i
\(526\) 8.79111 19.2498i 0.383310 0.839333i
\(527\) −21.8570 + 3.14256i −0.952106 + 0.136892i
\(528\) 1.87661i 0.0816691i
\(529\) 4.25387 22.6032i 0.184951 0.982748i
\(530\) 17.4318 2.46854i 0.757190 0.107227i
\(531\) 0.0315321 + 0.219311i 0.00136838 + 0.00951727i
\(532\) 5.92993 + 2.70811i 0.257095 + 0.117411i
\(533\) −7.64595 26.0397i −0.331183 1.12791i
\(534\) −1.76681 + 2.03901i −0.0764574 + 0.0882365i
\(535\) 2.32485 15.9295i 0.100512 0.688691i
\(536\) 3.69468 2.37442i 0.159586 0.102560i
\(537\) −8.36783 + 3.82146i −0.361099 + 0.164908i
\(538\) −23.0068 + 19.9355i −0.991892 + 0.859480i
\(539\) −8.34723 5.36444i −0.359541 0.231063i
\(540\) −2.23606 0.00474929i −0.0962248 0.000204377i
\(541\) −5.65281 + 39.3161i −0.243033 + 1.69033i 0.393692 + 0.919242i \(0.371197\pi\)
−0.636726 + 0.771090i \(0.719712\pi\)
\(542\) 13.1530 20.4664i 0.564968 0.879107i
\(543\) 13.4137 11.6231i 0.575639 0.498794i
\(544\) −1.67849 3.67538i −0.0719646 0.157580i
\(545\) 19.2947 16.6474i 0.826495 0.713094i
\(546\) 4.86401 + 1.42820i 0.208160 + 0.0611214i
\(547\) 19.5236 + 16.9173i 0.834769 + 0.723331i 0.963315 0.268372i \(-0.0864857\pi\)
−0.128546 + 0.991703i \(0.541031\pi\)
\(548\) −6.01215 20.4755i −0.256826 0.874670i
\(549\) −1.20058 + 2.62891i −0.0512396 + 0.112199i
\(550\) 8.55161 3.86157i 0.364642 0.164658i
\(551\) −35.0859 −1.49471
\(552\) 3.69147 3.06155i 0.157119 0.130308i
\(553\) 8.16993i 0.347421i
\(554\) −2.21352 15.3954i −0.0940436 0.654087i
\(555\) 2.82138 9.53379i 0.119761 0.404687i
\(556\) 12.7868 3.75454i 0.542281 0.159228i
\(557\) −0.217582 0.188536i −0.00921925 0.00798853i 0.650239 0.759730i \(-0.274669\pi\)
−0.659458 + 0.751741i \(0.729214\pi\)
\(558\) 1.53969 5.24372i 0.0651804 0.221984i
\(559\) −7.80663 + 5.01702i −0.330185 + 0.212197i
\(560\) −2.46509 + 1.57683i −0.104169 + 0.0666333i
\(561\) 4.96546 + 5.73045i 0.209642 + 0.241940i
\(562\) −0.436823 + 0.679710i −0.0184263 + 0.0286718i
\(563\) 13.5221 + 1.94418i 0.569887 + 0.0819374i 0.421234 0.906952i \(-0.361597\pi\)
0.148653 + 0.988889i \(0.452506\pi\)
\(564\) 0.774868 5.38932i 0.0326278 0.226931i
\(565\) −8.79345 + 19.1472i −0.369943 + 0.805530i
\(566\) 15.8333 + 18.2726i 0.665523 + 0.768054i
\(567\) −1.19041 + 0.543641i −0.0499924 + 0.0228308i
\(568\) −5.99083 9.32191i −0.251369 0.391139i
\(569\) −26.7272 7.84781i −1.12046 0.328997i −0.331510 0.943452i \(-0.607558\pi\)
−0.788952 + 0.614454i \(0.789376\pi\)
\(570\) 6.04198 9.35775i 0.253071 0.391953i
\(571\) −8.29336 + 2.43515i −0.347066 + 0.101908i −0.450620 0.892716i \(-0.648797\pi\)
0.103553 + 0.994624i \(0.466979\pi\)
\(572\) 6.61246 + 3.01981i 0.276481 + 0.126264i
\(573\) −2.77030 + 0.398308i −0.115731 + 0.0166396i
\(574\) 9.16858 0.382689
\(575\) 21.5474 + 10.5220i 0.898587 + 0.438796i
\(576\) 1.00000 0.0416667
\(577\) 32.6017 4.68742i 1.35723 0.195140i 0.575010 0.818146i \(-0.304998\pi\)
0.782216 + 0.623007i \(0.214089\pi\)
\(578\) −0.613348 0.280106i −0.0255119 0.0116509i
\(579\) −22.0507 + 6.47466i −0.916395 + 0.269078i
\(580\) 8.54289 13.2311i 0.354724 0.549392i
\(581\) 3.31240 + 0.972609i 0.137422 + 0.0403506i
\(582\) −4.98978 7.76424i −0.206833 0.321838i
\(583\) 13.4403 6.13799i 0.556641 0.254210i
\(584\) −1.11426 1.28592i −0.0461084 0.0532119i
\(585\) 3.61496 7.87138i 0.149460 0.325441i
\(586\) −3.25198 + 22.6180i −0.134338 + 0.934342i
\(587\) −18.2251 2.62038i −0.752232 0.108155i −0.244476 0.969655i \(-0.578616\pi\)
−0.507756 + 0.861501i \(0.669525\pi\)
\(588\) 2.85858 4.44803i 0.117886 0.183434i
\(589\) 17.8279 + 20.5745i 0.734586 + 0.847757i
\(590\) 0.417355 0.266967i 0.0171822 0.0109909i
\(591\) 15.6338 10.0472i 0.643087 0.413287i
\(592\) −1.25270 + 4.26631i −0.0514857 + 0.175344i
\(593\) −10.6743 9.24933i −0.438341 0.379824i 0.407548 0.913184i \(-0.366384\pi\)
−0.845889 + 0.533359i \(0.820929\pi\)
\(594\) −1.80060 + 0.528703i −0.0738794 + 0.0216929i
\(595\) 3.35519 11.3376i 0.137549 0.464796i
\(596\) −2.93983 20.4469i −0.120420 0.837540i
\(597\) 12.4466i 0.509407i
\(598\) 4.84747 + 17.9339i 0.198228 + 0.733371i
\(599\) 28.0843 1.14749 0.573746 0.819033i \(-0.305490\pi\)
0.573746 + 0.819033i \(0.305490\pi\)
\(600\) 2.05774 + 4.55694i 0.0840067 + 0.186036i
\(601\) −12.3921 + 27.1349i −0.505483 + 1.10685i 0.469165 + 0.883111i \(0.344555\pi\)
−0.974648 + 0.223744i \(0.928172\pi\)
\(602\) −0.883246 3.00806i −0.0359984 0.122599i
\(603\) −3.31915 2.87606i −0.135166 0.117122i
\(604\) 12.9088 + 3.79036i 0.525251 + 0.154228i
\(605\) −12.6609 + 10.9237i −0.514739 + 0.444113i
\(606\) −6.64679 14.5544i −0.270007 0.591234i
\(607\) 15.6301 13.5435i 0.634406 0.549716i −0.277184 0.960817i \(-0.589401\pi\)
0.911590 + 0.411101i \(0.134856\pi\)
\(608\) −2.69316 + 4.19064i −0.109222 + 0.169953i
\(609\) 1.31177 9.12359i 0.0531558 0.369707i
\(610\) 6.46239 + 0.0137258i 0.261655 + 0.000555741i
\(611\) 17.7430 + 11.4027i 0.717805 + 0.461305i
\(612\) −3.05361 + 2.64597i −0.123435 + 0.106957i
\(613\) 9.53191 4.35308i 0.384990 0.175819i −0.213512 0.976940i \(-0.568490\pi\)
0.598502 + 0.801121i \(0.295763\pi\)
\(614\) 23.7029 15.2329i 0.956569 0.614750i
\(615\) 2.26243 15.5017i 0.0912299 0.625090i
\(616\) −1.60825 + 1.85602i −0.0647982 + 0.0747811i
\(617\) −7.24130 24.6616i −0.291524 0.992839i −0.966855 0.255325i \(-0.917818\pi\)
0.675332 0.737514i \(-0.264001\pi\)
\(618\) 3.72528 + 1.70128i 0.149853 + 0.0684355i
\(619\) 2.50089 + 17.3941i 0.100519 + 0.699126i 0.976301 + 0.216418i \(0.0694375\pi\)
−0.875782 + 0.482708i \(0.839653\pi\)
\(620\) −12.0996 + 1.71344i −0.485931 + 0.0688133i
\(621\) −3.97754 2.67940i −0.159613 0.107521i
\(622\) 28.9134i 1.15932i
\(623\) 3.49484 0.502483i 0.140018 0.0201315i
\(624\) −1.60918 + 3.52361i −0.0644188 + 0.141057i
\(625\) −16.5314 + 18.7540i −0.661258 + 0.750159i
\(626\) −1.40172 + 1.61767i −0.0560241 + 0.0646552i
\(627\) 2.63369 8.96954i 0.105180 0.358209i
\(628\) −6.17858 9.61406i −0.246552 0.383643i
\(629\) −7.46327 16.3423i −0.297580 0.651609i
\(630\) 2.20746 + 1.92099i 0.0879471 + 0.0765343i
\(631\) −25.9026 16.6466i −1.03117 0.662691i −0.0883802 0.996087i \(-0.528169\pi\)
−0.942787 + 0.333396i \(0.891805\pi\)
\(632\) 6.17939 + 0.888461i 0.245803 + 0.0353411i
\(633\) −4.16710 0.599138i −0.165627 0.0238136i
\(634\) −0.426910 0.274358i −0.0169548 0.0108962i
\(635\) −7.48986 + 8.60675i −0.297226 + 0.341549i
\(636\) 3.27078 + 7.16201i 0.129695 + 0.283992i
\(637\) 11.0732 + 17.2302i 0.438735 + 0.682685i
\(638\) 3.72384 12.6822i 0.147428 0.502094i
\(639\) −7.25649 + 8.37444i −0.287062 + 0.331288i
\(640\) −0.924574 2.03597i −0.0365470 0.0804787i
\(641\) −7.21248 + 15.7931i −0.284876 + 0.623791i −0.996927 0.0783364i \(-0.975039\pi\)
0.712051 + 0.702128i \(0.247766\pi\)
\(642\) 7.12607 1.02457i 0.281243 0.0404367i
\(643\) 14.6337i 0.577098i −0.957465 0.288549i \(-0.906827\pi\)
0.957465 0.288549i \(-0.0931729\pi\)
\(644\) −6.27469 0.135624i −0.247258 0.00534433i
\(645\) −5.30381 + 0.751078i −0.208837 + 0.0295737i
\(646\) −2.86444 19.9226i −0.112700 0.783846i
\(647\) −15.2424 6.96097i −0.599240 0.273664i 0.0926127 0.995702i \(-0.470478\pi\)
−0.691853 + 0.722038i \(0.743205\pi\)
\(648\) −0.281733 0.959493i −0.0110675 0.0376924i
\(649\) 0.272287 0.314235i 0.0106882 0.0123348i
\(650\) −19.3682 0.0822744i −0.759682 0.00322707i
\(651\) −6.01664 + 3.86666i −0.235811 + 0.151546i
\(652\) 18.7211 8.54963i 0.733174 0.334829i
\(653\) 22.9723 19.9056i 0.898977 0.778968i −0.0769569 0.997034i \(-0.524520\pi\)
0.975934 + 0.218066i \(0.0699749\pi\)
\(654\) 9.58749 + 6.16151i 0.374901 + 0.240934i
\(655\) −0.0519220 + 24.4460i −0.00202876 + 0.955183i
\(656\) −0.997062 + 6.93472i −0.0389287 + 0.270755i
\(657\) −0.919912 + 1.43141i −0.0358892 + 0.0558446i
\(658\) −5.38500 + 4.66613i −0.209929 + 0.181905i
\(659\) −7.57130 16.5788i −0.294936 0.645820i 0.702920 0.711269i \(-0.251879\pi\)
−0.997856 + 0.0654493i \(0.979152\pi\)
\(660\) 2.74121 + 3.17713i 0.106701 + 0.123670i
\(661\) 26.8201 + 7.87508i 1.04318 + 0.306305i 0.758058 0.652187i \(-0.226148\pi\)
0.285121 + 0.958492i \(0.407966\pi\)
\(662\) −0.688166 0.596299i −0.0267463 0.0231758i
\(663\) −4.40956 15.0176i −0.171253 0.583235i
\(664\) −1.09586 + 2.39959i −0.0425275 + 0.0931222i
\(665\) −13.9952 + 4.07711i −0.542712 + 0.158103i
\(666\) 4.44642 0.172295
\(667\) 31.0222 13.3649i 1.20119 0.517492i
\(668\) 19.4759i 0.753545i
\(669\) −1.68761 11.7376i −0.0652468 0.453801i
\(670\) −2.78677 + 9.41683i −0.107662 + 0.363804i
\(671\) 5.20386 1.52799i 0.200893 0.0589875i
\(672\) −0.989026 0.856996i −0.0381525 0.0330593i
\(673\) 5.28083 17.9848i 0.203561 0.693265i −0.792911 0.609337i \(-0.791435\pi\)
0.996472 0.0839272i \(-0.0267463\pi\)
\(674\) 9.81920 6.31042i 0.378221 0.243068i
\(675\) 3.79262 3.25822i 0.145978 0.125409i
\(676\) −1.31320 1.51551i −0.0505076 0.0582889i
\(677\) 16.6069 25.8408i 0.638254 0.993142i −0.359935 0.932977i \(-0.617201\pi\)
0.998188 0.0601645i \(-0.0191625\pi\)
\(678\) −9.32685 1.34100i −0.358195 0.0515007i
\(679\) −1.71891 + 11.9553i −0.0659656 + 0.458801i
\(680\) 8.21040 + 3.77066i 0.314855 + 0.144598i
\(681\) 12.3720 + 14.2780i 0.474096 + 0.547135i
\(682\) −9.32906 + 4.26044i −0.357228 + 0.163141i
\(683\) −17.2057 26.7726i −0.658358 1.02443i −0.996521 0.0833376i \(-0.973442\pi\)
0.338163 0.941087i \(-0.390194\pi\)
\(684\) 4.77964 + 1.40343i 0.182754 + 0.0536615i
\(685\) 40.0876 + 25.8832i 1.53167 + 0.988947i
\(686\) −15.4288 + 4.53029i −0.589073 + 0.172967i
\(687\) 1.74891 + 0.798703i 0.0667253 + 0.0304724i
\(688\) 2.37122 0.340930i 0.0904018 0.0129978i
\(689\) −30.4994 −1.16194
\(690\) −1.77764 + 10.5754i −0.0676737 + 0.402600i
\(691\) 27.6969 1.05364 0.526820 0.849977i \(-0.323384\pi\)
0.526820 + 0.849977i \(0.323384\pi\)
\(692\) 6.80930 0.979030i 0.258851 0.0372171i
\(693\) 2.23393 + 1.02020i 0.0848601 + 0.0387543i
\(694\) 5.02471 1.47539i 0.190735 0.0560050i
\(695\) −16.1639 + 25.0344i −0.613131 + 0.949610i
\(696\) 6.75804 + 1.98434i 0.256163 + 0.0752162i
\(697\) −15.3044 23.8142i −0.579697 0.902025i
\(698\) 29.9126 13.6606i 1.13221 0.517063i
\(699\) 14.6652 + 16.9245i 0.554689 + 0.640145i
\(700\) 1.87013 6.27041i 0.0706842 0.236999i
\(701\) −4.28279 + 29.7875i −0.161759 + 1.12506i 0.733558 + 0.679627i \(0.237858\pi\)
−0.895317 + 0.445430i \(0.853051\pi\)
\(702\) 3.83424 + 0.551281i 0.144714 + 0.0208067i
\(703\) −11.9749 + 18.6334i −0.451643 + 0.702771i
\(704\) −1.22892 1.41825i −0.0463167 0.0534523i
\(705\) 6.56043 + 10.2561i 0.247080 + 0.386266i
\(706\) 18.3631 11.8013i 0.691105 0.444146i
\(707\) −5.89925 + 20.0910i −0.221864 + 0.755600i
\(708\) 0.167448 + 0.145095i 0.00629309 + 0.00545299i
\(709\) −44.7943 + 13.1528i −1.68229 + 0.493964i −0.976691 0.214650i \(-0.931139\pi\)
−0.705596 + 0.708614i \(0.749321\pi\)
\(710\) 23.7593 + 7.03119i 0.891669 + 0.263876i
\(711\) −0.888461 6.17939i −0.0333199 0.231745i
\(712\) 2.69799i 0.101112i
\(713\) −23.6003 11.4005i −0.883838 0.426953i
\(714\) 5.28769 0.197887
\(715\) −15.6061 + 4.54637i −0.583634 + 0.170025i
\(716\) −3.82146 + 8.36783i −0.142815 + 0.312721i
\(717\) 2.43382 + 8.28884i 0.0908927 + 0.309552i
\(718\) −9.83758 8.52431i −0.367135 0.318125i
\(719\) 50.4942 + 14.8264i 1.88312 + 0.552933i 0.995776 + 0.0918152i \(0.0292669\pi\)
0.887339 + 0.461117i \(0.152551\pi\)
\(720\) −1.69301 + 1.46072i −0.0630949 + 0.0544378i
\(721\) −2.22641 4.87516i −0.0829160 0.181561i
\(722\) −4.39439 + 3.80776i −0.163542 + 0.141710i
\(723\) 6.54847 10.1896i 0.243540 0.378956i
\(724\) 2.52593 17.5683i 0.0938756 0.652919i
\(725\) 4.86374 + 34.8792i 0.180635 + 1.29538i
\(726\) −6.29117 4.04309i −0.233487 0.150053i
\(727\) 21.0712 18.2583i 0.781488 0.677163i −0.169796 0.985479i \(-0.554311\pi\)
0.951284 + 0.308316i \(0.0997655\pi\)
\(728\) 4.61125 2.10589i 0.170904 0.0780493i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 3.76483 + 0.549465i 0.139343 + 0.0203366i
\(731\) −6.33869 + 7.31524i −0.234445 + 0.270564i
\(732\) 0.814229 + 2.77301i 0.0300948 + 0.102493i
\(733\) −13.5523 6.18913i −0.500565 0.228601i 0.149098 0.988822i \(-0.452363\pi\)
−0.649664 + 0.760222i \(0.725090\pi\)
\(734\) 1.17200 + 8.15147i 0.0432595 + 0.300876i
\(735\) 1.65772 + 11.7062i 0.0611460 + 0.431788i
\(736\) 0.784939 4.73116i 0.0289332 0.174393i
\(737\) 8.24184i 0.303592i
\(738\) 6.93472 0.997062i 0.255271 0.0367024i
\(739\) 1.61734 3.54149i 0.0594949 0.130276i −0.877549 0.479486i \(-0.840823\pi\)
0.937044 + 0.349211i \(0.113550\pi\)
\(740\) −4.11105 9.05277i −0.151125 0.332787i
\(741\) −12.6365 + 14.5832i −0.464212 + 0.535729i
\(742\) 2.90293 9.88647i 0.106570 0.362944i
\(743\) 26.1616 + 40.7082i 0.959775 + 1.49344i 0.867337 + 0.497721i \(0.165830\pi\)
0.0924384 + 0.995718i \(0.470534\pi\)
\(744\) −2.27028 4.97122i −0.0832325 0.182254i
\(745\) 34.8444 + 30.3227i 1.27660 + 1.11094i
\(746\) −20.6007 13.2392i −0.754244 0.484723i
\(747\) 2.61113 + 0.375424i 0.0955362 + 0.0137360i
\(748\) 7.50529 + 1.07910i 0.274421 + 0.0394557i
\(749\) −7.92592 5.09368i −0.289607 0.186119i
\(750\) −10.1402 4.70919i −0.370268 0.171955i
\(751\) −1.16728 2.55598i −0.0425945 0.0932689i 0.887139 0.461503i \(-0.152690\pi\)
−0.929733 + 0.368234i \(0.879962\pi\)
\(752\) −2.94365 4.58041i −0.107344 0.167030i
\(753\) 1.50196 5.11520i 0.0547344 0.186408i
\(754\) −17.8669 + 20.6196i −0.650676 + 0.750920i
\(755\) −27.3914 + 12.4390i −0.996876 + 0.452701i
\(756\) −0.543641 + 1.19041i −0.0197720 + 0.0432947i
\(757\) −21.2318 + 3.05267i −0.771683 + 0.110951i −0.516898 0.856047i \(-0.672914\pi\)
−0.254784 + 0.966998i \(0.582004\pi\)
\(758\) 9.41928i 0.342124i
\(759\) 1.08802 + 8.93391i 0.0394926 + 0.324280i
\(760\) −1.56180 11.0288i −0.0566523 0.400056i
\(761\) −2.68025 18.6416i −0.0971591 0.675756i −0.978948 0.204111i \(-0.934570\pi\)
0.881789 0.471645i \(-0.156340\pi\)
\(762\) −4.64134 2.11963i −0.168138 0.0767860i
\(763\) −4.20189 14.3103i −0.152119 0.518069i
\(764\) −1.83281 + 2.11518i −0.0663089 + 0.0765245i
\(765\) 1.30479 8.94014i 0.0471746 0.323231i
\(766\) 19.7567 12.6969i 0.713838 0.458756i
\(767\) −0.780712 + 0.356539i −0.0281899 + 0.0128739i
\(768\) 0.755750 0.654861i 0.0272708 0.0236303i
\(769\) −25.9376 16.6691i −0.935333 0.601102i −0.0182653 0.999833i \(-0.505814\pi\)
−0.917068 + 0.398731i \(0.869451\pi\)
\(770\) 0.0116636 5.49147i 0.000420327 0.197899i
\(771\) −1.15066 + 8.00305i −0.0414402 + 0.288223i
\(772\) −12.4248 + 19.3333i −0.447178 + 0.695822i
\(773\) 10.7621 9.32545i 0.387087 0.335413i −0.439479 0.898253i \(-0.644837\pi\)
0.826566 + 0.562840i \(0.190291\p