Properties

Label 462.2.bc.b.107.2
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.2
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.71803 - 0.219927i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(1.53261 + 3.44230i) q^{5} +(-0.0391388 + 1.73161i) q^{6} +(-2.01818 - 1.71083i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.90326 + 0.755682i) q^{9} +O(q^{10})\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.71803 - 0.219927i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(1.53261 + 3.44230i) q^{5} +(-0.0391388 + 1.73161i) q^{6} +(-2.01818 - 1.71083i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.90326 + 0.755682i) q^{9} +(3.26324 - 1.88403i) q^{10} +(-3.30190 - 0.312180i) q^{11} +(1.72621 - 0.142078i) q^{12} +(-3.08311 - 4.24354i) q^{13} +(-1.49050 + 2.18596i) q^{14} +(-1.87602 - 6.25104i) q^{15} +(0.913545 - 0.406737i) q^{16} +(0.289150 - 2.75108i) q^{17} +(0.448069 - 2.96635i) q^{18} +(1.51179 - 7.11240i) q^{19} +(-2.21481 - 3.04843i) q^{20} +(3.09104 + 3.38312i) q^{21} +(0.0346730 + 3.31644i) q^{22} +(-0.229484 - 0.132493i) q^{23} +(-0.321738 - 1.70191i) q^{24} +(-6.15489 + 6.83570i) q^{25} +(-3.89802 + 3.50979i) q^{26} +(-4.82171 - 1.93679i) q^{27} +(2.32978 + 1.25384i) q^{28} +(-1.53615 + 4.72778i) q^{29} +(-6.02070 + 2.51916i) q^{30} +(-4.96641 - 2.21119i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(5.60411 + 1.26251i) q^{33} -2.76623 q^{34} +(2.79612 - 9.56923i) q^{35} +(-2.99694 - 0.135546i) q^{36} +(-2.79332 - 3.10230i) q^{37} +(-7.23146 - 0.760057i) q^{38} +(4.36361 + 7.96859i) q^{39} +(-2.80022 + 2.52133i) q^{40} +(-2.20706 - 6.79262i) q^{41} +(3.04148 - 3.42774i) q^{42} +5.36775i q^{43} +(3.29465 - 0.381146i) q^{44} +(1.84829 + 11.1521i) q^{45} +(-0.107779 + 0.242076i) q^{46} +(0.756757 - 3.56026i) q^{47} +(-1.65895 + 0.497873i) q^{48} +(1.14610 + 6.90554i) q^{49} +(7.44161 + 5.40665i) q^{50} +(-1.10180 + 4.66284i) q^{51} +(3.89802 + 3.50979i) q^{52} +(1.07021 - 2.40372i) q^{53} +(-1.42218 + 4.99774i) q^{54} +(-3.98591 - 11.8446i) q^{55} +(1.00345 - 2.44808i) q^{56} +(-4.16151 + 11.8868i) q^{57} +(4.86245 + 1.03355i) q^{58} +(2.19124 + 10.3090i) q^{59} +(3.13469 + 5.72440i) q^{60} +(1.48497 + 3.33529i) q^{61} +(-1.67994 + 5.17033i) q^{62} +(-4.56646 - 6.49210i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(9.88232 - 17.1167i) q^{65} +(0.669805 - 5.70538i) q^{66} +(-4.38733 - 7.59908i) q^{67} +(0.289150 + 2.75108i) q^{68} +(0.365122 + 0.278096i) q^{69} +(-9.80908 - 1.78054i) q^{70} +(-1.09739 + 1.51043i) q^{71} +(0.178462 + 2.99469i) q^{72} +(-2.95581 - 13.9060i) q^{73} +(-2.79332 + 3.10230i) q^{74} +(12.0776 - 10.3903i) q^{75} +7.27129i q^{76} +(6.12974 + 6.27903i) q^{77} +(7.46882 - 5.17265i) q^{78} +(-1.17968 + 0.123989i) q^{79} +(2.80022 + 2.52133i) q^{80} +(7.85789 + 4.38789i) q^{81} +(-6.52471 + 2.90499i) q^{82} +(-1.44300 - 1.04840i) q^{83} +(-3.72688 - 2.66652i) q^{84} +(9.91319 - 3.22099i) q^{85} +(5.33835 - 0.561083i) q^{86} +(3.67891 - 7.78463i) q^{87} +(-0.723443 - 3.23676i) q^{88} +(0.505210 + 0.291683i) q^{89} +(10.8978 - 3.00387i) q^{90} +(-1.03771 + 13.8389i) q^{91} +(0.252016 + 0.0818849i) q^{92} +(8.04614 + 4.89113i) q^{93} +(-3.61986 - 0.380463i) q^{94} +(26.8000 - 5.69652i) q^{95} +(0.668554 + 1.59782i) q^{96} +(3.28502 - 2.38671i) q^{97} +(6.74791 - 1.86165i) q^{98} +(-9.35038 - 3.40153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} + O(q^{10}) \) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} - 6q^{11} - 12q^{15} + 16q^{16} - 2q^{17} - 4q^{18} + 2q^{22} - 12q^{25} - 18q^{27} - 5q^{28} + 38q^{29} + 6q^{30} - 3q^{31} - 64q^{32} + 28q^{33} - 16q^{34} - 31q^{35} + 8q^{36} + 2q^{37} - 2q^{39} + 5q^{40} + 16q^{41} - 13q^{42} - q^{44} + 28q^{45} + 38q^{49} + 34q^{50} + 4q^{51} + 25q^{53} - 6q^{54} - 42q^{55} - 100q^{57} - 19q^{58} + 40q^{59} - 4q^{60} + 40q^{61} - 4q^{62} - 106q^{63} - 32q^{64} + 20q^{65} - 7q^{66} + 16q^{67} - 2q^{68} - 68q^{69} - 21q^{70} + 80q^{71} - 4q^{72} + 10q^{73} + 2q^{74} - 14q^{75} + q^{77} - 16q^{78} - 5q^{80} + 32q^{81} - 8q^{82} - 92q^{83} + 8q^{84} - 100q^{85} - 40q^{86} - 38q^{87} - q^{88} + 4q^{90} + 12q^{91} - 20q^{92} - 33q^{93} + 40q^{94} + 38q^{95} - 16q^{97} + 18q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) −1.71803 0.219927i −0.991906 0.126975i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) 1.53261 + 3.44230i 0.685405 + 1.53944i 0.834732 + 0.550656i \(0.185622\pi\)
−0.149328 + 0.988788i \(0.547711\pi\)
\(6\) −0.0391388 + 1.73161i −0.0159783 + 0.706926i
\(7\) −2.01818 1.71083i −0.762800 0.646634i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) 2.90326 + 0.755682i 0.967755 + 0.251894i
\(10\) 3.26324 1.88403i 1.03193 0.595784i
\(11\) −3.30190 0.312180i −0.995560 0.0941257i
\(12\) 1.72621 0.142078i 0.498315 0.0410144i
\(13\) −3.08311 4.24354i −0.855101 1.17695i −0.982716 0.185122i \(-0.940732\pi\)
0.127615 0.991824i \(-0.459268\pi\)
\(14\) −1.49050 + 2.18596i −0.398354 + 0.584221i
\(15\) −1.87602 6.25104i −0.484386 1.61401i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) 0.289150 2.75108i 0.0701291 0.667234i −0.901831 0.432089i \(-0.857777\pi\)
0.971960 0.235145i \(-0.0755566\pi\)
\(18\) 0.448069 2.96635i 0.105611 0.699175i
\(19\) 1.51179 7.11240i 0.346828 1.63170i −0.366183 0.930543i \(-0.619335\pi\)
0.713010 0.701153i \(-0.247331\pi\)
\(20\) −2.21481 3.04843i −0.495248 0.681650i
\(21\) 3.09104 + 3.38312i 0.674520 + 0.738257i
\(22\) 0.0346730 + 3.31644i 0.00739231 + 0.707068i
\(23\) −0.229484 0.132493i −0.0478507 0.0276266i 0.475884 0.879508i \(-0.342128\pi\)
−0.523734 + 0.851882i \(0.675462\pi\)
\(24\) −0.321738 1.70191i −0.0656745 0.347400i
\(25\) −6.15489 + 6.83570i −1.23098 + 1.36714i
\(26\) −3.89802 + 3.50979i −0.764464 + 0.688327i
\(27\) −4.82171 1.93679i −0.927938 0.372736i
\(28\) 2.32978 + 1.25384i 0.440287 + 0.236954i
\(29\) −1.53615 + 4.72778i −0.285255 + 0.877926i 0.701067 + 0.713096i \(0.252708\pi\)
−0.986322 + 0.164830i \(0.947292\pi\)
\(30\) −6.02070 + 2.51916i −1.09922 + 0.459933i
\(31\) −4.96641 2.21119i −0.891993 0.397141i −0.0910253 0.995849i \(-0.529014\pi\)
−0.800968 + 0.598708i \(0.795681\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 5.60411 + 1.26251i 0.975551 + 0.219775i
\(34\) −2.76623 −0.474405
\(35\) 2.79612 9.56923i 0.472630 1.61749i
\(36\) −2.99694 0.135546i −0.499489 0.0225910i
\(37\) −2.79332 3.10230i −0.459219 0.510014i 0.468413 0.883510i \(-0.344826\pi\)
−0.927632 + 0.373495i \(0.878159\pi\)
\(38\) −7.23146 0.760057i −1.17310 0.123298i
\(39\) 4.36361 + 7.96859i 0.698737 + 1.27600i
\(40\) −2.80022 + 2.52133i −0.442754 + 0.398657i
\(41\) −2.20706 6.79262i −0.344684 1.06083i −0.961753 0.273919i \(-0.911680\pi\)
0.617069 0.786909i \(-0.288320\pi\)
\(42\) 3.04148 3.42774i 0.469311 0.528911i
\(43\) 5.36775i 0.818575i 0.912405 + 0.409287i \(0.134223\pi\)
−0.912405 + 0.409287i \(0.865777\pi\)
\(44\) 3.29465 0.381146i 0.496687 0.0574599i
\(45\) 1.84829 + 11.1521i 0.275527 + 1.66245i
\(46\) −0.107779 + 0.242076i −0.0158912 + 0.0356921i
\(47\) 0.756757 3.56026i 0.110384 0.519317i −0.887861 0.460111i \(-0.847810\pi\)
0.998246 0.0592064i \(-0.0188570\pi\)
\(48\) −1.65895 + 0.497873i −0.239449 + 0.0718618i
\(49\) 1.14610 + 6.90554i 0.163729 + 0.986505i
\(50\) 7.44161 + 5.40665i 1.05240 + 0.764615i
\(51\) −1.10180 + 4.66284i −0.154283 + 0.652929i
\(52\) 3.89802 + 3.50979i 0.540558 + 0.486720i
\(53\) 1.07021 2.40372i 0.147004 0.330176i −0.825003 0.565128i \(-0.808827\pi\)
0.972007 + 0.234952i \(0.0754933\pi\)
\(54\) −1.42218 + 4.99774i −0.193534 + 0.680106i
\(55\) −3.98591 11.8446i −0.537460 1.59712i
\(56\) 1.00345 2.44808i 0.134091 0.327138i
\(57\) −4.16151 + 11.8868i −0.551205 + 1.57445i
\(58\) 4.86245 + 1.03355i 0.638471 + 0.135711i
\(59\) 2.19124 + 10.3090i 0.285275 + 1.34211i 0.854294 + 0.519790i \(0.173990\pi\)
−0.569019 + 0.822324i \(0.692677\pi\)
\(60\) 3.13469 + 5.72440i 0.404687 + 0.739017i
\(61\) 1.48497 + 3.33529i 0.190131 + 0.427040i 0.983308 0.181951i \(-0.0582412\pi\)
−0.793177 + 0.608991i \(0.791575\pi\)
\(62\) −1.67994 + 5.17033i −0.213353 + 0.656633i
\(63\) −4.56646 6.49210i −0.575320 0.817928i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 9.88232 17.1167i 1.22575 2.12306i
\(66\) 0.669805 5.70538i 0.0824473 0.702284i
\(67\) −4.38733 7.59908i −0.535998 0.928375i −0.999114 0.0420780i \(-0.986602\pi\)
0.463117 0.886297i \(-0.346731\pi\)
\(68\) 0.289150 + 2.75108i 0.0350646 + 0.333617i
\(69\) 0.365122 + 0.278096i 0.0439555 + 0.0334788i
\(70\) −9.80908 1.78054i −1.17241 0.212816i
\(71\) −1.09739 + 1.51043i −0.130236 + 0.179255i −0.869155 0.494540i \(-0.835337\pi\)
0.738919 + 0.673794i \(0.235337\pi\)
\(72\) 0.178462 + 2.99469i 0.0210319 + 0.352927i
\(73\) −2.95581 13.9060i −0.345952 1.62758i −0.715675 0.698434i \(-0.753881\pi\)
0.369723 0.929142i \(-0.379453\pi\)
\(74\) −2.79332 + 3.10230i −0.324717 + 0.360635i
\(75\) 12.0776 10.3903i 1.39461 1.19977i
\(76\) 7.27129i 0.834075i
\(77\) 6.12974 + 6.27903i 0.698549 + 0.715562i
\(78\) 7.46882 5.17265i 0.845677 0.585688i
\(79\) −1.17968 + 0.123989i −0.132724 + 0.0139499i −0.170658 0.985330i \(-0.554589\pi\)
0.0379334 + 0.999280i \(0.487923\pi\)
\(80\) 2.80022 + 2.52133i 0.313074 + 0.281893i
\(81\) 7.85789 + 4.38789i 0.873099 + 0.487543i
\(82\) −6.52471 + 2.90499i −0.720533 + 0.320802i
\(83\) −1.44300 1.04840i −0.158390 0.115077i 0.505767 0.862670i \(-0.331209\pi\)
−0.664157 + 0.747593i \(0.731209\pi\)
\(84\) −3.72688 2.66652i −0.406636 0.290942i
\(85\) 9.91319 3.22099i 1.07524 0.349365i
\(86\) 5.33835 0.561083i 0.575649 0.0605032i
\(87\) 3.67891 7.78463i 0.394421 0.834600i
\(88\) −0.723443 3.23676i −0.0771193 0.345040i
\(89\) 0.505210 + 0.291683i 0.0535521 + 0.0309183i 0.526537 0.850152i \(-0.323490\pi\)
−0.472985 + 0.881071i \(0.656823\pi\)
\(90\) 10.8978 3.00387i 1.14873 0.316636i
\(91\) −1.03771 + 13.8389i −0.108782 + 1.45071i
\(92\) 0.252016 + 0.0818849i 0.0262745 + 0.00853709i
\(93\) 8.04614 + 4.89113i 0.834346 + 0.507187i
\(94\) −3.61986 0.380463i −0.373360 0.0392417i
\(95\) 26.8000 5.69652i 2.74962 0.584450i
\(96\) 0.668554 + 1.59782i 0.0682340 + 0.163077i
\(97\) 3.28502 2.38671i 0.333543 0.242334i −0.408389 0.912808i \(-0.633909\pi\)
0.741933 + 0.670474i \(0.233909\pi\)
\(98\) 6.74791 1.86165i 0.681642 0.188055i
\(99\) −9.35038 3.40153i −0.939749 0.341866i
\(100\) 4.59917 7.96599i 0.459917 0.796599i
\(101\) −7.42956 3.30785i −0.739269 0.329144i 0.00232090 0.999997i \(-0.499261\pi\)
−0.741590 + 0.670854i \(0.765928\pi\)
\(102\) 4.75247 + 0.608368i 0.470565 + 0.0602374i
\(103\) 2.90213 + 3.22315i 0.285956 + 0.317586i 0.868959 0.494884i \(-0.164789\pi\)
−0.583004 + 0.812470i \(0.698123\pi\)
\(104\) 3.08311 4.24354i 0.302324 0.416113i
\(105\) −6.90835 + 15.8253i −0.674185 + 1.54439i
\(106\) −2.50242 0.813085i −0.243056 0.0789738i
\(107\) −8.03480 1.70785i −0.776754 0.165104i −0.197556 0.980292i \(-0.563301\pi\)
−0.579197 + 0.815187i \(0.696634\pi\)
\(108\) 5.11902 + 0.891979i 0.492578 + 0.0858307i
\(109\) −4.98391 + 2.87746i −0.477372 + 0.275611i −0.719321 0.694678i \(-0.755547\pi\)
0.241949 + 0.970289i \(0.422213\pi\)
\(110\) −11.3631 + 5.20217i −1.08343 + 0.496008i
\(111\) 4.11673 + 5.94417i 0.390743 + 0.564196i
\(112\) −2.53956 0.742056i −0.239966 0.0701177i
\(113\) 9.48961 3.08336i 0.892708 0.290058i 0.173484 0.984837i \(-0.444498\pi\)
0.719224 + 0.694778i \(0.244498\pi\)
\(114\) 12.2567 + 2.89619i 1.14795 + 0.271253i
\(115\) 0.104370 0.993012i 0.00973253 0.0925988i
\(116\) 0.519619 4.94385i 0.0482454 0.459025i
\(117\) −5.74432 14.6500i −0.531063 1.35439i
\(118\) 10.0235 3.25682i 0.922733 0.299814i
\(119\) −5.29019 + 5.05748i −0.484951 + 0.463618i
\(120\) 5.36537 3.71588i 0.489789 0.339212i
\(121\) 10.8051 + 2.06157i 0.982281 + 0.187416i
\(122\) 3.16180 1.82546i 0.286256 0.165270i
\(123\) 2.29791 + 12.1553i 0.207196 + 1.09601i
\(124\) 5.31761 + 1.13029i 0.477535 + 0.101503i
\(125\) −15.0453 4.88853i −1.34570 0.437243i
\(126\) −5.97921 + 5.22006i −0.532671 + 0.465040i
\(127\) 3.60329 4.95950i 0.319740 0.440085i −0.618648 0.785669i \(-0.712319\pi\)
0.938388 + 0.345584i \(0.112319\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) 1.18051 9.22197i 0.103938 0.811949i
\(130\) −18.0559 8.03901i −1.58361 0.705068i
\(131\) −4.22261 + 7.31377i −0.368931 + 0.639007i −0.989399 0.145225i \(-0.953609\pi\)
0.620468 + 0.784232i \(0.286943\pi\)
\(132\) −5.74414 0.0697615i −0.499963 0.00607196i
\(133\) −15.2192 + 11.7677i −1.31967 + 1.02039i
\(134\) −7.09885 + 5.15762i −0.613247 + 0.445550i
\(135\) −0.722780 19.5661i −0.0622070 1.68398i
\(136\) 2.70578 0.575132i 0.232019 0.0493171i
\(137\) −7.95044 0.835625i −0.679252 0.0713923i −0.241382 0.970430i \(-0.577601\pi\)
−0.437871 + 0.899038i \(0.644267\pi\)
\(138\) 0.238407 0.392190i 0.0202945 0.0333855i
\(139\) 13.4844 + 4.38135i 1.14373 + 0.371621i 0.818779 0.574109i \(-0.194651\pi\)
0.324954 + 0.945730i \(0.394651\pi\)
\(140\) −0.745461 + 9.94146i −0.0630029 + 0.840207i
\(141\) −2.08313 + 5.95021i −0.175431 + 0.501098i
\(142\) 1.61686 + 0.933496i 0.135684 + 0.0783372i
\(143\) 8.85538 + 14.9742i 0.740524 + 1.25221i
\(144\) 2.95963 0.490514i 0.246636 0.0408762i
\(145\) −18.6287 + 1.95796i −1.54703 + 0.162600i
\(146\) −13.5209 + 4.39320i −1.11900 + 0.363584i
\(147\) −0.450326 12.1160i −0.0371423 0.999310i
\(148\) 3.37728 + 2.45374i 0.277611 + 0.201696i
\(149\) −20.2342 + 9.00883i −1.65765 + 0.738032i −0.999885 0.0151921i \(-0.995164\pi\)
−0.657763 + 0.753225i \(0.728497\pi\)
\(150\) −11.5959 10.9254i −0.946798 0.892055i
\(151\) 5.87033 + 5.28567i 0.477721 + 0.430142i 0.872485 0.488641i \(-0.162507\pi\)
−0.394764 + 0.918782i \(0.629174\pi\)
\(152\) 7.23146 0.760057i 0.586549 0.0616488i
\(153\) 2.91842 7.76860i 0.235940 0.628054i
\(154\) 5.60390 6.75250i 0.451575 0.544132i
\(155\) 20.4848i 1.64538i
\(156\) −5.92502 6.88721i −0.474381 0.551418i
\(157\) −8.99385 + 9.98869i −0.717788 + 0.797184i −0.986101 0.166148i \(-0.946867\pi\)
0.268313 + 0.963332i \(0.413534\pi\)
\(158\) 0.246620 + 1.16026i 0.0196200 + 0.0923050i
\(159\) −2.36729 + 3.89430i −0.187738 + 0.308838i
\(160\) 2.21481 3.04843i 0.175096 0.241000i
\(161\) 0.236467 + 0.660002i 0.0186362 + 0.0520155i
\(162\) 3.54248 8.27350i 0.278324 0.650028i
\(163\) 1.75110 + 16.6606i 0.137157 + 1.30496i 0.819140 + 0.573593i \(0.194451\pi\)
−0.681984 + 0.731367i \(0.738882\pi\)
\(164\) 3.57109 + 6.18531i 0.278855 + 0.482992i
\(165\) 4.24298 + 21.2260i 0.330316 + 1.65244i
\(166\) −0.891822 + 1.54468i −0.0692188 + 0.119891i
\(167\) −20.3525 + 14.7870i −1.57492 + 1.14425i −0.652683 + 0.757631i \(0.726357\pi\)
−0.922240 + 0.386617i \(0.873643\pi\)
\(168\) −2.26235 + 3.98519i −0.174544 + 0.307464i
\(169\) −4.48482 + 13.8029i −0.344986 + 1.06176i
\(170\) −4.23956 9.52220i −0.325159 0.730319i
\(171\) 9.76383 19.5067i 0.746659 1.49172i
\(172\) −1.11602 5.25046i −0.0850956 0.400344i
\(173\) 10.3111 + 2.19169i 0.783937 + 0.166631i 0.582457 0.812862i \(-0.302091\pi\)
0.201480 + 0.979493i \(0.435425\pi\)
\(174\) −8.12653 2.84505i −0.616071 0.215682i
\(175\) 24.1164 3.26568i 1.82303 0.246862i
\(176\) −3.14341 + 1.05781i −0.236943 + 0.0797357i
\(177\) −1.49740 18.1930i −0.112551 1.36747i
\(178\) 0.237276 0.532931i 0.0177846 0.0399449i
\(179\) 9.55734 + 8.60547i 0.714349 + 0.643203i 0.943953 0.330081i \(-0.107076\pi\)
−0.229603 + 0.973284i \(0.573743\pi\)
\(180\) −4.12655 10.5241i −0.307575 0.784420i
\(181\) 10.5832 + 7.68916i 0.786645 + 0.571531i 0.906966 0.421204i \(-0.138392\pi\)
−0.120321 + 0.992735i \(0.538392\pi\)
\(182\) 13.8716 0.414533i 1.02823 0.0307273i
\(183\) −1.81770 6.05672i −0.134368 0.447725i
\(184\) 0.0550935 0.259194i 0.00406155 0.0191081i
\(185\) 6.39797 14.3701i 0.470388 1.05651i
\(186\) 4.02329 8.51333i 0.295002 0.624227i
\(187\) −1.81357 + 8.99351i −0.132622 + 0.657671i
\(188\) 3.63980i 0.265460i
\(189\) 6.41754 + 12.1579i 0.466808 + 0.884359i
\(190\) −8.46667 26.0577i −0.614237 1.89043i
\(191\) 16.7393 15.0722i 1.21122 1.09058i 0.217802 0.975993i \(-0.430111\pi\)
0.993413 0.114590i \(-0.0365555\pi\)
\(192\) 1.51919 0.831909i 0.109638 0.0600379i
\(193\) 3.31851 + 0.348790i 0.238872 + 0.0251065i 0.223208 0.974771i \(-0.428347\pi\)
0.0156640 + 0.999877i \(0.495014\pi\)
\(194\) −2.71701 3.01755i −0.195070 0.216647i
\(195\) −20.7426 + 27.2336i −1.48541 + 1.95024i
\(196\) −2.55680 6.51635i −0.182628 0.465453i
\(197\) 1.43581 0.102297 0.0511485 0.998691i \(-0.483712\pi\)
0.0511485 + 0.998691i \(0.483712\pi\)
\(198\) −2.40551 + 9.65471i −0.170952 + 0.686131i
\(199\) −10.4515 18.1025i −0.740885 1.28325i −0.952093 0.305809i \(-0.901073\pi\)
0.211209 0.977441i \(-0.432260\pi\)
\(200\) −8.40310 3.74130i −0.594189 0.264550i
\(201\) 5.86633 + 14.0204i 0.413779 + 0.988919i
\(202\) −2.51313 + 7.73463i −0.176823 + 0.544206i
\(203\) 11.1887 6.91341i 0.785290 0.485226i
\(204\) 0.108267 4.79003i 0.00758020 0.335369i
\(205\) 19.9997 18.0078i 1.39684 1.25772i
\(206\) 2.90213 3.22315i 0.202201 0.224567i
\(207\) −0.566130 0.558078i −0.0393487 0.0387891i
\(208\) −4.54256 2.62265i −0.314970 0.181848i
\(209\) −7.21212 + 23.0125i −0.498873 + 1.59181i
\(210\) 16.4607 + 5.21631i 1.13590 + 0.359959i
\(211\) −3.29041 4.52886i −0.226521 0.311779i 0.680595 0.732660i \(-0.261721\pi\)
−0.907116 + 0.420880i \(0.861721\pi\)
\(212\) −0.547057 + 2.57370i −0.0375720 + 0.176763i
\(213\) 2.21753 2.35362i 0.151943 0.161267i
\(214\) −0.858629 + 8.16931i −0.0586947 + 0.558442i
\(215\) −18.4774 + 8.22668i −1.26015 + 0.561055i
\(216\) 0.352009 5.18422i 0.0239512 0.352741i
\(217\) 6.24013 + 12.9593i 0.423608 + 0.879732i
\(218\) 3.38266 + 4.65583i 0.229103 + 0.315333i
\(219\) 2.01988 + 24.5410i 0.136491 + 1.65833i
\(220\) 6.36144 + 10.7570i 0.428888 + 0.725239i
\(221\) −12.5658 + 7.25485i −0.845266 + 0.488014i
\(222\) 5.48129 4.71552i 0.367880 0.316485i
\(223\) −5.92954 18.2493i −0.397072 1.22206i −0.927336 0.374229i \(-0.877908\pi\)
0.530265 0.847832i \(-0.322092\pi\)
\(224\) −0.472535 + 2.60321i −0.0315726 + 0.173934i
\(225\) −23.0349 + 15.1947i −1.53566 + 1.01298i
\(226\) −4.05841 9.11533i −0.269961 0.606343i
\(227\) 8.27141 1.75814i 0.548993 0.116692i 0.0749394 0.997188i \(-0.476124\pi\)
0.474053 + 0.880496i \(0.342790\pi\)
\(228\) 1.59915 12.4923i 0.105906 0.827324i
\(229\) −2.17655 20.7085i −0.143830 1.36845i −0.793655 0.608369i \(-0.791824\pi\)
0.649824 0.760084i \(-0.274842\pi\)
\(230\) −0.998482 −0.0658379
\(231\) −9.15016 12.1357i −0.602036 0.798469i
\(232\) −4.97108 −0.326367
\(233\) −0.484382 4.60859i −0.0317329 0.301919i −0.998864 0.0476422i \(-0.984829\pi\)
0.967132 0.254277i \(-0.0818374\pi\)
\(234\) −13.9693 + 7.24419i −0.913199 + 0.473567i
\(235\) 13.4153 2.85151i 0.875118 0.186012i
\(236\) −4.28671 9.62811i −0.279041 0.626737i
\(237\) 2.05399 + 0.0464255i 0.133421 + 0.00301566i
\(238\) 5.58275 + 4.73256i 0.361876 + 0.306766i
\(239\) 2.97902 + 9.16848i 0.192697 + 0.593060i 0.999996 + 0.00291718i \(0.000928569\pi\)
−0.807299 + 0.590143i \(0.799071\pi\)
\(240\) −4.25636 4.94757i −0.274747 0.319364i
\(241\) 6.38371 3.68564i 0.411211 0.237413i −0.280099 0.959971i \(-0.590367\pi\)
0.691310 + 0.722558i \(0.257034\pi\)
\(242\) 0.920839 10.9614i 0.0591938 0.704625i
\(243\) −12.5351 9.26669i −0.804126 0.594459i
\(244\) −2.14596 2.95366i −0.137381 0.189089i
\(245\) −22.0144 + 14.5287i −1.40645 + 0.928207i
\(246\) 11.8485 3.55590i 0.755435 0.226716i
\(247\) −34.8427 + 15.5130i −2.21699 + 0.987068i
\(248\) 0.568259 5.40663i 0.0360845 0.343321i
\(249\) 2.24855 + 2.11854i 0.142496 + 0.134257i
\(250\) −3.28908 + 15.4739i −0.208020 + 0.978657i
\(251\) 0.509553 + 0.701340i 0.0321627 + 0.0442682i 0.824796 0.565431i \(-0.191290\pi\)
−0.792633 + 0.609699i \(0.791290\pi\)
\(252\) 5.81646 + 5.40081i 0.366403 + 0.340219i
\(253\) 0.716371 + 0.509117i 0.0450379 + 0.0320079i
\(254\) −5.30898 3.06514i −0.333115 0.192324i
\(255\) −17.7396 + 3.35359i −1.11089 + 0.210010i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 11.2013 10.0857i 0.698720 0.629131i −0.241220 0.970471i \(-0.577547\pi\)
0.939940 + 0.341340i \(0.110881\pi\)
\(258\) −9.29485 0.210087i −0.578672 0.0130795i
\(259\) 0.329913 + 11.0399i 0.0204998 + 0.685986i
\(260\) −6.10761 + 18.7973i −0.378778 + 1.16576i
\(261\) −8.03254 + 12.5651i −0.497202 + 0.777763i
\(262\) 7.71509 + 3.43498i 0.476640 + 0.212214i
\(263\) −2.39857 4.15444i −0.147902 0.256174i 0.782550 0.622588i \(-0.213919\pi\)
−0.930452 + 0.366414i \(0.880585\pi\)
\(264\) 0.531047 + 5.71996i 0.0326837 + 0.352039i
\(265\) 9.91454 0.609045
\(266\) 13.2941 + 13.9058i 0.815111 + 0.852617i
\(267\) −0.803818 0.612230i −0.0491928 0.0374679i
\(268\) 5.87140 + 6.52084i 0.358653 + 0.398324i
\(269\) −27.7083 2.91226i −1.68941 0.177564i −0.789531 0.613711i \(-0.789676\pi\)
−0.899875 + 0.436148i \(0.856343\pi\)
\(270\) −19.3834 + 2.76404i −1.17963 + 0.168214i
\(271\) 0.729017 0.656410i 0.0442847 0.0398741i −0.646691 0.762752i \(-0.723848\pi\)
0.690976 + 0.722878i \(0.257181\pi\)
\(272\) −0.854812 2.63084i −0.0518306 0.159518i
\(273\) 4.82637 23.5475i 0.292105 1.42516i
\(274\) 7.99424i 0.482950i
\(275\) 22.4568 20.6494i 1.35420 1.24520i
\(276\) −0.414962 0.196106i −0.0249778 0.0118042i
\(277\) −2.07442 + 4.65921i −0.124640 + 0.279945i −0.965078 0.261961i \(-0.915631\pi\)
0.840439 + 0.541907i \(0.182297\pi\)
\(278\) 2.94784 13.8685i 0.176800 0.831778i
\(279\) −12.7478 10.1727i −0.763193 0.609023i
\(280\) 9.96492 0.297788i 0.595518 0.0177963i
\(281\) −18.2736 13.2765i −1.09011 0.792010i −0.110691 0.993855i \(-0.535306\pi\)
−0.979418 + 0.201844i \(0.935306\pi\)
\(282\) 6.13536 + 1.44975i 0.365355 + 0.0863314i
\(283\) 3.34226 + 3.00939i 0.198677 + 0.178890i 0.762464 0.647031i \(-0.223989\pi\)
−0.563787 + 0.825920i \(0.690656\pi\)
\(284\) 0.759374 1.70558i 0.0450606 0.101208i
\(285\) −47.2961 + 3.89276i −2.80158 + 0.230587i
\(286\) 13.9666 10.3721i 0.825860 0.613315i
\(287\) −7.16680 + 17.4846i −0.423043 + 1.03208i
\(288\) −0.797192 2.89214i −0.0469750 0.170421i
\(289\) 9.14370 + 1.94355i 0.537864 + 0.114327i
\(290\) 3.89447 + 18.3220i 0.228691 + 1.07591i
\(291\) −6.16867 + 3.37798i −0.361614 + 0.198020i
\(292\) 5.78245 + 12.9876i 0.338392 + 0.760041i
\(293\) 6.18542 19.0368i 0.361356 1.11214i −0.590876 0.806763i \(-0.701218\pi\)
0.952232 0.305377i \(-0.0987824\pi\)
\(294\) −12.0025 + 1.71433i −0.700003 + 0.0999815i
\(295\) −32.1283 + 23.3426i −1.87058 + 1.35906i
\(296\) 2.08728 3.61527i 0.121320 0.210133i
\(297\) 15.3162 + 7.90033i 0.888734 + 0.458424i
\(298\) 11.0745 + 19.1816i 0.641530 + 1.11116i
\(299\) 0.145287 + 1.38231i 0.00840215 + 0.0799412i
\(300\) −9.65345 + 12.6743i −0.557342 + 0.731754i
\(301\) 9.18333 10.8331i 0.529318 0.624409i
\(302\) 4.64310 6.39068i 0.267180 0.367742i
\(303\) 12.0367 + 7.31696i 0.691492 + 0.420348i
\(304\) −1.51179 7.11240i −0.0867069 0.407924i
\(305\) −9.20520 + 10.2234i −0.527088 + 0.585391i
\(306\) −8.03110 2.09039i −0.459107 0.119500i
\(307\) 29.0371i 1.65724i −0.559814 0.828618i \(-0.689128\pi\)
0.559814 0.828618i \(-0.310872\pi\)
\(308\) −7.30128 4.86738i −0.416029 0.277345i
\(309\) −4.27710 6.17572i −0.243316 0.351325i
\(310\) −20.3725 + 2.14124i −1.15708 + 0.121614i
\(311\) −11.5574 10.4063i −0.655359 0.590088i 0.272891 0.962045i \(-0.412020\pi\)
−0.928250 + 0.371957i \(0.878687\pi\)
\(312\) −6.23015 + 6.61247i −0.352713 + 0.374358i
\(313\) 23.6254 10.5187i 1.33538 0.594551i 0.390092 0.920776i \(-0.372443\pi\)
0.945292 + 0.326224i \(0.105777\pi\)
\(314\) 10.8741 + 7.90048i 0.613660 + 0.445850i
\(315\) 15.3492 25.6690i 0.864827 1.44629i
\(316\) 1.12812 0.366549i 0.0634617 0.0206200i
\(317\) 3.28013 0.344755i 0.184230 0.0193634i −0.0119639 0.999928i \(-0.503808\pi\)
0.196194 + 0.980565i \(0.437142\pi\)
\(318\) 4.12042 + 1.94726i 0.231061 + 0.109197i
\(319\) 6.54812 15.1311i 0.366624 0.847178i
\(320\) −3.26324 1.88403i −0.182421 0.105321i
\(321\) 13.4284 + 4.70121i 0.749503 + 0.262396i
\(322\) 0.631669 0.304161i 0.0352015 0.0169502i
\(323\) −19.1296 6.21559i −1.06440 0.345845i
\(324\) −8.59847 2.65826i −0.477693 0.147681i
\(325\) 47.9837 + 5.04329i 2.66166 + 0.279752i
\(326\) 16.3863 3.48302i 0.907554 0.192907i
\(327\) 9.19535 3.84748i 0.508504 0.212766i
\(328\) 5.77815 4.19807i 0.319045 0.231800i
\(329\) −7.61828 + 5.89056i −0.420009 + 0.324757i
\(330\) 20.6662 6.43846i 1.13764 0.354425i
\(331\) 8.44348 14.6245i 0.464095 0.803837i −0.535065 0.844811i \(-0.679713\pi\)
0.999160 + 0.0409742i \(0.0130462\pi\)
\(332\) 1.62944 + 0.725474i 0.0894272 + 0.0398155i
\(333\) −5.76540 11.1177i −0.315942 0.609244i
\(334\) 16.8334 + 18.6953i 0.921081 + 1.02296i
\(335\) 19.4343 26.7490i 1.06181 1.46145i
\(336\) 4.19984 + 1.83339i 0.229120 + 0.100020i
\(337\) −5.08135 1.65103i −0.276799 0.0899373i 0.167328 0.985901i \(-0.446486\pi\)
−0.444127 + 0.895964i \(0.646486\pi\)
\(338\) 14.1960 + 3.01746i 0.772162 + 0.164128i
\(339\) −16.9816 + 3.21029i −0.922312 + 0.174359i
\(340\) −9.02688 + 5.21167i −0.489551 + 0.282643i
\(341\) 15.7083 + 8.85153i 0.850651 + 0.479337i
\(342\) −20.4205 7.67133i −1.10421 0.414818i
\(343\) 9.50118 15.8974i 0.513016 0.858379i
\(344\) −5.10504 + 1.65873i −0.275245 + 0.0894326i
\(345\) −0.397700 + 1.68307i −0.0214115 + 0.0906135i
\(346\) 1.10188 10.4837i 0.0592375 0.563607i
\(347\) −3.33343 + 31.7155i −0.178948 + 1.70258i 0.424707 + 0.905331i \(0.360377\pi\)
−0.603655 + 0.797246i \(0.706290\pi\)
\(348\) −1.98001 + 8.37941i −0.106139 + 0.449183i
\(349\) 4.33484 1.40848i 0.232039 0.0753940i −0.190690 0.981650i \(-0.561072\pi\)
0.422728 + 0.906256i \(0.361072\pi\)
\(350\) −5.76864 23.6429i −0.308347 1.26377i
\(351\) 6.64700 + 26.4324i 0.354791 + 1.41086i
\(352\) 1.38059 + 3.01562i 0.0735859 + 0.160733i
\(353\) 17.4540 10.0770i 0.928981 0.536347i 0.0424916 0.999097i \(-0.486470\pi\)
0.886489 + 0.462750i \(0.153137\pi\)
\(354\) −17.9369 + 3.39089i −0.953334 + 0.180224i
\(355\) −6.88122 1.46265i −0.365217 0.0776293i
\(356\) −0.554814 0.180270i −0.0294051 0.00955429i
\(357\) 10.2010 7.52546i 0.539893 0.398289i
\(358\) 7.55932 10.4045i 0.399522 0.549895i
\(359\) −1.17775 1.30802i −0.0621593 0.0690349i 0.711263 0.702926i \(-0.248123\pi\)
−0.773422 + 0.633891i \(0.781457\pi\)
\(360\) −10.0351 + 5.20401i −0.528896 + 0.274275i
\(361\) −30.9434 13.7769i −1.62860 0.725099i
\(362\) 6.54079 11.3290i 0.343776 0.595438i
\(363\) −18.1101 5.91817i −0.950533 0.310624i
\(364\) −1.86224 13.7522i −0.0976077 0.720814i
\(365\) 43.3386 31.4873i 2.26844 1.64812i
\(366\) −5.83354 + 2.44084i −0.304924 + 0.127585i
\(367\) −34.4953 + 7.33219i −1.80064 + 0.382737i −0.981592 0.190990i \(-0.938830\pi\)
−0.819046 + 0.573728i \(0.805497\pi\)
\(368\) −0.263533 0.0276985i −0.0137376 0.00144388i
\(369\) −1.27460 21.3886i −0.0663533 1.11345i
\(370\) −14.9601 4.86084i −0.777739 0.252703i
\(371\) −6.27223 + 3.02020i −0.325638 + 0.156801i
\(372\) −8.88724 3.11136i −0.460782 0.161317i
\(373\) 12.5257 + 7.23170i 0.648555 + 0.374443i 0.787902 0.615800i \(-0.211167\pi\)
−0.139347 + 0.990244i \(0.544500\pi\)
\(374\) 9.13381 + 0.863561i 0.472298 + 0.0446537i
\(375\) 24.7733 + 11.7075i 1.27929 + 0.604574i
\(376\) 3.61986 0.380463i 0.186680 0.0196209i
\(377\) 24.7986 8.05756i 1.27719 0.414985i
\(378\) 11.4205 7.65324i 0.587407 0.393640i
\(379\) 2.51776 + 1.82926i 0.129328 + 0.0939626i 0.650569 0.759447i \(-0.274531\pi\)
−0.521240 + 0.853410i \(0.674531\pi\)
\(380\) −25.0300 + 11.1441i −1.28401 + 0.571679i
\(381\) −7.28129 + 7.72812i −0.373032 + 0.395924i
\(382\) −16.7393 15.0722i −0.856458 0.771159i
\(383\) 1.22492 0.128744i 0.0625904 0.00657852i −0.0731815 0.997319i \(-0.523315\pi\)
0.135772 + 0.990740i \(0.456649\pi\)
\(384\) −0.986150 1.42391i −0.0503243 0.0726634i
\(385\) −12.2198 + 30.7237i −0.622779 + 1.56583i
\(386\) 3.33679i 0.169838i
\(387\) −4.05632 + 15.5840i −0.206194 + 0.792180i
\(388\) −2.71701 + 3.01755i −0.137935 + 0.153193i
\(389\) 3.55370 + 16.7188i 0.180180 + 0.847679i 0.971641 + 0.236460i \(0.0759872\pi\)
−0.791462 + 0.611219i \(0.790679\pi\)
\(390\) 29.2526 + 17.7822i 1.48126 + 0.900439i
\(391\) −0.430852 + 0.593017i −0.0217891 + 0.0299902i
\(392\) −6.21339 + 3.22394i −0.313824 + 0.162833i
\(393\) 8.86306 11.6366i 0.447082 0.586990i
\(394\) −0.150083 1.42794i −0.00756106 0.0719387i
\(395\) −2.23480 3.87078i −0.112445 0.194760i
\(396\) 9.85327 + 1.38314i 0.495145 + 0.0695055i
\(397\) −19.1196 + 33.1161i −0.959586 + 1.66205i −0.236080 + 0.971734i \(0.575863\pi\)
−0.723506 + 0.690318i \(0.757471\pi\)
\(398\) −16.9108 + 12.2864i −0.847663 + 0.615863i
\(399\) 28.7351 16.8702i 1.43855 0.844564i
\(400\) −2.84244 + 8.74814i −0.142122 + 0.437407i
\(401\) 4.79892 + 10.7785i 0.239647 + 0.538255i 0.992827 0.119559i \(-0.0381480\pi\)
−0.753181 + 0.657814i \(0.771481\pi\)
\(402\) 13.3303 7.29972i 0.664857 0.364077i
\(403\) 5.92873 + 27.8925i 0.295331 + 1.38942i
\(404\) 7.95495 + 1.69088i 0.395773 + 0.0841243i
\(405\) −3.06135 + 33.7742i −0.152120 + 1.67825i
\(406\) −8.04507 10.4047i −0.399270 0.516377i
\(407\) 8.25479 + 11.1155i 0.409175 + 0.550974i
\(408\) −4.77510 + 0.393020i −0.236403 + 0.0194574i
\(409\) −4.96097 + 11.1425i −0.245304 + 0.550963i −0.993672 0.112322i \(-0.964171\pi\)
0.748368 + 0.663284i \(0.230838\pi\)
\(410\) −19.9997 18.0078i −0.987714 0.889341i
\(411\) 13.4753 + 3.18415i 0.664689 + 0.157062i
\(412\) −3.50884 2.54932i −0.172868 0.125596i
\(413\) 13.2146 24.5542i 0.650249 1.20823i
\(414\) −0.495844 + 0.621363i −0.0243694 + 0.0305383i
\(415\) 1.39735 6.57403i 0.0685933 0.322706i
\(416\) −2.13346 + 4.79182i −0.104601 + 0.234938i
\(417\) −22.2031 10.4929i −1.08729 0.513839i
\(418\) 23.6403 + 4.76715i 1.15628 + 0.233169i
\(419\) 28.4492i 1.38984i 0.719089 + 0.694918i \(0.244559\pi\)
−0.719089 + 0.694918i \(0.755441\pi\)
\(420\) 3.46712 16.9158i 0.169178 0.825406i
\(421\) −2.09064 6.43434i −0.101892 0.313590i 0.887097 0.461584i \(-0.152719\pi\)
−0.988988 + 0.147993i \(0.952719\pi\)
\(422\) −4.16011 + 3.74578i −0.202511 + 0.182342i
\(423\) 4.88749 9.76451i 0.237638 0.474767i
\(424\) 2.61679 + 0.275035i 0.127082 + 0.0133569i
\(425\) 17.0258 + 18.9091i 0.825874 + 0.917226i
\(426\) −2.57252 1.95937i −0.124639 0.0949316i
\(427\) 2.70919 9.27175i 0.131107 0.448691i
\(428\) 8.21431 0.397053
\(429\) −11.9206 27.6737i −0.575531 1.33610i
\(430\) 10.1130 + 17.5163i 0.487694 + 0.844710i
\(431\) 0.804251 + 0.358076i 0.0387394 + 0.0172479i 0.426015 0.904716i \(-0.359917\pi\)
−0.387275 + 0.921964i \(0.626584\pi\)
\(432\) −5.19261 + 0.191817i −0.249830 + 0.00922881i
\(433\) 5.24575 16.1447i 0.252094 0.775867i −0.742294 0.670075i \(-0.766262\pi\)
0.994388 0.105792i \(-0.0337379\pi\)
\(434\) 12.2360 7.56056i 0.587347 0.362918i
\(435\) 32.4354 + 0.733123i 1.55516 + 0.0351505i
\(436\) 4.27674 3.85080i 0.204819 0.184420i
\(437\) −1.28927 + 1.43188i −0.0616742 + 0.0684961i
\(438\) 24.1955 4.57405i 1.15610 0.218557i
\(439\) 6.60866 + 3.81551i 0.315414 + 0.182104i 0.649347 0.760493i \(-0.275042\pi\)
−0.333933 + 0.942597i \(0.608376\pi\)
\(440\) 10.0332 7.45101i 0.478312 0.355213i
\(441\) −1.89096 + 20.9147i −0.0900455 + 0.995938i
\(442\) 8.52859 + 11.7386i 0.405664 + 0.558348i
\(443\) 1.76987 8.32660i 0.0840892 0.395609i −0.915894 0.401420i \(-0.868517\pi\)
0.999983 + 0.00581181i \(0.00184997\pi\)
\(444\) −5.26264 4.95836i −0.249754 0.235313i
\(445\) −0.229771 + 2.18612i −0.0108922 + 0.103632i
\(446\) −17.5295 + 7.80463i −0.830045 + 0.369560i
\(447\) 36.7442 11.0274i 1.73794 0.521579i
\(448\) 2.63834 + 0.197836i 0.124650 + 0.00934689i
\(449\) −12.2986 16.9275i −0.580405 0.798859i 0.413334 0.910579i \(-0.364364\pi\)
−0.993740 + 0.111720i \(0.964364\pi\)
\(450\) 17.5193 + 21.3204i 0.825866 + 1.00505i
\(451\) 5.16696 + 23.1175i 0.243303 + 1.08856i
\(452\) −8.64118 + 4.98899i −0.406447 + 0.234662i
\(453\) −8.92296 10.3720i −0.419237 0.487319i
\(454\) −2.61311 8.04232i −0.122639 0.377445i
\(455\) −49.2281 + 17.6376i −2.30785 + 0.826861i
\(456\) −12.5910 0.284590i −0.589629 0.0133271i
\(457\) −12.2510 27.5163i −0.573079 1.28716i −0.934901 0.354909i \(-0.884512\pi\)
0.361822 0.932247i \(-0.382155\pi\)
\(458\) −20.3675 + 4.32925i −0.951711 + 0.202292i
\(459\) −6.72246 + 12.7049i −0.313777 + 0.593012i
\(460\) 0.104370 + 0.993012i 0.00486626 + 0.0462994i
\(461\) 29.4709 1.37260 0.686299 0.727320i \(-0.259234\pi\)
0.686299 + 0.727320i \(0.259234\pi\)
\(462\) −11.1127 + 10.3686i −0.517011 + 0.482389i
\(463\) 5.36167 0.249178 0.124589 0.992208i \(-0.460239\pi\)
0.124589 + 0.992208i \(0.460239\pi\)
\(464\) 0.519619 + 4.94385i 0.0241227 + 0.229512i
\(465\) −4.50515 + 35.1935i −0.208921 + 1.63206i
\(466\) −4.53271 + 0.963458i −0.209974 + 0.0446313i
\(467\) −9.42414 21.1670i −0.436097 0.979491i −0.989226 0.146395i \(-0.953233\pi\)
0.553129 0.833096i \(-0.313434\pi\)
\(468\) 8.66469 + 13.1355i 0.400525 + 0.607189i
\(469\) −4.14633 + 22.8423i −0.191460 + 1.05476i
\(470\) −4.23817 13.0437i −0.195492 0.601663i
\(471\) 17.6485 15.1829i 0.813200 0.699591i
\(472\) −9.12728 + 5.26964i −0.420117 + 0.242555i
\(473\) 1.67570 17.7238i 0.0770489 0.814941i
\(474\) −0.168530 2.04759i −0.00774082 0.0940491i
\(475\) 39.3133 + 54.1101i 1.80382 + 2.48274i
\(476\) 4.12308 6.04685i 0.188981 0.277157i
\(477\) 4.92354 6.16990i 0.225433 0.282500i
\(478\) 8.80687 3.92107i 0.402817 0.179346i
\(479\) −2.40215 + 22.8549i −0.109757 + 1.04427i 0.791555 + 0.611098i \(0.209272\pi\)
−0.901312 + 0.433171i \(0.857395\pi\)
\(480\) −4.47555 + 4.75020i −0.204280 + 0.216816i
\(481\) −4.55260 + 21.4183i −0.207581 + 0.976590i
\(482\) −4.33273 5.96349i −0.197350 0.271629i
\(483\) −0.261106 1.18591i −0.0118807 0.0539608i
\(484\) −10.9976 + 0.229982i −0.499891 + 0.0104537i
\(485\) 13.2504 + 7.65014i 0.601671 + 0.347375i
\(486\) −7.90566 + 13.4351i −0.358608 + 0.609426i
\(487\) 14.7364 16.3664i 0.667769 0.741633i −0.310134 0.950693i \(-0.600374\pi\)
0.977903 + 0.209060i \(0.0670405\pi\)
\(488\) −2.71317 + 2.44295i −0.122819 + 0.110587i
\(489\) 0.655668 29.0086i 0.0296503 1.31181i
\(490\) 16.7503 + 20.3751i 0.756700 + 0.920455i
\(491\) −0.700532 + 2.15602i −0.0316146 + 0.0972997i −0.965619 0.259963i \(-0.916290\pi\)
0.934004 + 0.357262i \(0.116290\pi\)
\(492\) −4.77493 11.4119i −0.215271 0.514490i
\(493\) 12.5623 + 5.59309i 0.565777 + 0.251900i
\(494\) 19.0701 + 33.0303i 0.858003 + 1.48610i
\(495\) −2.62142 37.4000i −0.117824 1.68101i
\(496\) −5.43641 −0.244102
\(497\) 4.79882 1.17086i 0.215257 0.0525205i
\(498\) 1.87190 2.45768i 0.0838816 0.110131i
\(499\) −28.0074 31.1053i −1.25378 1.39247i −0.886745 0.462259i \(-0.847039\pi\)
−0.367036 0.930207i \(-0.619627\pi\)
\(500\) 15.7330 + 1.65360i 0.703599 + 0.0739512i
\(501\) 38.2183 20.9284i 1.70747 0.935012i
\(502\) 0.644235 0.580072i 0.0287536 0.0258899i
\(503\) 5.45642 + 16.7931i 0.243290 + 0.748769i 0.995913 + 0.0903177i \(0.0287882\pi\)
−0.752623 + 0.658452i \(0.771212\pi\)
\(504\) 4.76324 6.34914i 0.212172 0.282813i
\(505\) 30.6444i 1.36366i
\(506\) 0.431447 0.765664i 0.0191802 0.0340379i
\(507\) 10.7407 22.7274i 0.477010 1.00936i
\(508\) −2.49341 + 5.60029i −0.110627 + 0.248473i
\(509\) 7.31258 34.4030i 0.324124 1.52489i −0.450681 0.892685i \(-0.648819\pi\)
0.774805 0.632200i \(-0.217848\pi\)
\(510\) 5.18950 + 17.2918i 0.229795 + 0.765695i
\(511\) −17.8255 + 33.1217i −0.788554 + 1.46522i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) −21.0646 + 31.3659i −0.930026 + 1.38484i
\(514\) −11.2013 10.0857i −0.494070 0.444862i
\(515\) −6.64720 + 14.9298i −0.292910 + 0.657888i
\(516\) 0.762640 + 9.26589i 0.0335733 + 0.407908i
\(517\) −3.61018 + 11.5194i −0.158775 + 0.506622i
\(518\) 10.9449 1.48209i 0.480893 0.0651192i
\(519\) −17.2328 6.03307i −0.756434 0.264822i
\(520\) 19.3327 + 4.10930i 0.847797 + 0.180205i
\(521\) −2.21277 10.4102i −0.0969430 0.456081i −0.999666 0.0258580i \(-0.991768\pi\)
0.902723 0.430223i \(-0.141565\pi\)
\(522\) 13.3359 + 6.67512i 0.583698 + 0.292162i
\(523\) −11.5357 25.9096i −0.504420 1.13295i −0.968920 0.247373i \(-0.920433\pi\)
0.464500 0.885573i \(-0.346234\pi\)
\(524\) 2.60971 8.03187i 0.114006 0.350874i
\(525\) −42.1510 + 0.306698i −1.83962 + 0.0133854i
\(526\) −3.88096 + 2.81968i −0.169218 + 0.122944i
\(527\) −7.51918 + 13.0236i −0.327541 + 0.567317i
\(528\) 5.63312 1.12604i 0.245150 0.0490045i
\(529\) −11.4649 19.8578i −0.498474 0.863382i
\(530\) −1.03635 9.86023i −0.0450162 0.428301i
\(531\) −1.42856 + 31.5856i −0.0619942 + 1.37070i
\(532\) 12.4400 14.6748i 0.539341 0.636233i
\(533\) −22.0201 + 30.3081i −0.953798 + 1.31279i
\(534\) −0.524854 + 0.863410i −0.0227127 + 0.0373634i
\(535\) −6.43530 30.2757i −0.278222 1.30893i
\(536\) 5.87140 6.52084i 0.253606 0.281658i
\(537\) −14.5272 16.8864i −0.626897 0.728701i
\(538\) 27.8609i 1.20117i
\(539\) −1.62854 23.1592i −0.0701464 0.997537i
\(540\) 4.77501 + 18.9883i 0.205484 + 0.817125i
\(541\) 26.4809 2.78325i 1.13850 0.119661i 0.483539 0.875323i \(-0.339351\pi\)
0.654962 + 0.755662i \(0.272685\pi\)
\(542\) −0.729017 0.656410i −0.0313140 0.0281952i
\(543\) −16.4913 15.5378i −0.707708 0.666789i
\(544\) −2.52708 + 1.12513i −0.108348 + 0.0482394i
\(545\) −17.5435 12.7461i −0.751481 0.545983i
\(546\) −23.9230 2.33855i −1.02381 0.100081i
\(547\) 27.6539 8.98531i 1.18240 0.384184i 0.349141 0.937070i \(-0.386474\pi\)
0.833257 + 0.552886i \(0.186474\pi\)
\(548\) 7.95044 0.835625i 0.339626 0.0356961i
\(549\) 1.79083 + 10.8054i 0.0764309 + 0.461163i
\(550\) −22.8836 20.1753i −0.975760 0.860279i
\(551\) 31.3035 + 18.0731i 1.33357 + 0.769939i
\(552\) −0.151656 + 0.433188i −0.00645491 + 0.0184377i
\(553\) 2.59293 + 1.76800i 0.110263 + 0.0751830i
\(554\) 4.85053 + 1.57603i 0.206079 + 0.0669592i
\(555\) −14.1523 + 23.2811i −0.600730 + 0.988229i
\(556\) −14.1007 1.48204i −0.598002 0.0628525i
\(557\) 2.89594 0.615550i 0.122705 0.0260817i −0.146150 0.989262i \(-0.546688\pi\)
0.268855 + 0.963181i \(0.413355\pi\)
\(558\) −8.78444 + 13.7413i −0.371875 + 0.581717i
\(559\) 22.7783 16.5494i 0.963418 0.699964i
\(560\) −1.33778 9.87921i −0.0565313 0.417473i
\(561\) 5.09369 15.0523i 0.215056 0.635508i
\(562\) −11.2937 + 19.5612i −0.476395 + 0.825140i
\(563\) −35.8135 15.9452i −1.50936 0.672010i −0.525474 0.850810i \(-0.676112\pi\)
−0.983886 + 0.178800i \(0.942779\pi\)
\(564\) 0.800489 6.25329i 0.0337067 0.263311i
\(565\) 25.1578 + 27.9405i 1.05839 + 1.17547i
\(566\) 2.64354 3.63852i 0.111116 0.152938i
\(567\) −8.35169 22.2991i −0.350738 0.936474i
\(568\) −1.77561 0.576932i −0.0745031 0.0242075i
\(569\) 3.31602 + 0.704842i 0.139015 + 0.0295485i 0.276894 0.960901i \(-0.410695\pi\)
−0.137879 + 0.990449i \(0.544028\pi\)
\(570\) 8.81522 + 46.6301i 0.369229 + 1.95312i
\(571\) 31.0407 17.9213i 1.29901 0.749985i 0.318778 0.947829i \(-0.396728\pi\)
0.980233 + 0.197845i \(0.0633942\pi\)
\(572\) −11.7752 12.8059i −0.492345 0.535440i
\(573\) −32.0735 + 22.2130i −1.33989 + 0.927962i
\(574\) 18.1380 + 5.29990i 0.757065 + 0.221213i
\(575\) 2.31813 0.753205i 0.0966725 0.0314108i
\(576\) −2.79297 + 1.09514i −0.116374 + 0.0456307i
\(577\) −0.561381 + 5.34118i −0.0233706 + 0.222356i 0.976603 + 0.215051i \(0.0689919\pi\)
−0.999973 + 0.00730493i \(0.997675\pi\)
\(578\) 0.977129 9.29676i 0.0406432 0.386694i
\(579\) −5.62460 1.32906i −0.233751 0.0552339i
\(580\) 17.8146 5.78831i 0.739710 0.240346i
\(581\) 1.11859 + 4.58459i 0.0464071 + 0.190201i
\(582\) 4.00427 + 5.78179i 0.165982 + 0.239663i
\(583\) −4.28410 + 7.60275i −0.177429 + 0.314874i
\(584\) 12.3120 7.10834i 0.509475 0.294145i
\(585\) 41.6258 42.2264i 1.72101 1.74585i
\(586\) −19.5790 4.16165i −0.808802 0.171916i
\(587\) 12.7186 + 4.13251i 0.524951 + 0.170567i 0.559491 0.828836i \(-0.310997\pi\)
−0.0345400 + 0.999403i \(0.510997\pi\)
\(588\) 2.95954 + 11.7576i 0.122049 + 0.484875i
\(589\) −23.2350 + 31.9802i −0.957381 + 1.31772i
\(590\) 26.5730 + 29.5123i 1.09399 + 1.21500i
\(591\) −2.46676 0.315772i −0.101469 0.0129891i
\(592\) −3.81364 1.69794i −0.156740 0.0697850i
\(593\) 2.04859 3.54826i 0.0841254 0.145710i −0.820893 0.571082i \(-0.806524\pi\)
0.905018 + 0.425373i \(0.139857\pi\)
\(594\) 6.25608 16.0581i 0.256690 0.658870i
\(595\) −25.5172 10.4593i −1.04610 0.428788i
\(596\) 17.9190 13.0189i 0.733989 0.533275i
\(597\) 13.9747 + 33.3992i 0.571947 + 1.36694i
\(598\) 1.35955 0.288982i 0.0555963 0.0118173i
\(599\) 2.67862 + 0.281534i 0.109445 + 0.0115032i 0.159093 0.987264i \(-0.449143\pi\)
−0.0496474 + 0.998767i \(0.515810\pi\)
\(600\) 13.6140 + 8.27574i 0.555788 + 0.337856i
\(601\) −27.3236 8.87798i −1.11455 0.362140i −0.306867 0.951753i \(-0.599281\pi\)
−0.807686 + 0.589612i \(0.799281\pi\)
\(602\) −11.7337 8.00066i −0.478229 0.326082i
\(603\) −6.99509 25.3776i −0.284862 1.03345i
\(604\) −6.84101 3.94966i −0.278357 0.160709i
\(605\) 9.46345 + 40.3540i 0.384744 + 1.64062i
\(606\) 6.01869 12.7356i 0.244493 0.517349i
\(607\) −27.4288 + 2.88288i −1.11330 + 0.117012i −0.643271 0.765639i \(-0.722423\pi\)
−0.470028 + 0.882651i \(0.655756\pi\)
\(608\) −6.91541 + 2.24695i −0.280457 + 0.0911260i
\(609\) −20.7429 + 9.41677i −0.840545 + 0.381587i
\(610\) 11.1296 + 8.08613i 0.450625 + 0.327398i
\(611\) −17.4413 + 7.76535i −0.705598 + 0.314152i
\(612\) −1.23946 + 8.20561i −0.0501022 + 0.331692i
\(613\) −12.7310 11.4630i −0.514200 0.462987i 0.370711 0.928748i \(-0.379114\pi\)
−0.884911 + 0.465761i \(0.845781\pi\)
\(614\) −28.8781 + 3.03521i −1.16542 + 0.122491i
\(615\) −38.3205 + 26.5395i −1.54523 + 1.07018i
\(616\) −4.07752 + 7.77006i −0.164288 + 0.313065i
\(617\) 20.8212i 0.838230i 0.907933 + 0.419115i \(0.137660\pi\)
−0.907933 + 0.419115i \(0.862340\pi\)
\(618\) −5.69481 + 4.89921i −0.229079 + 0.197075i
\(619\) −11.4542 + 12.7211i −0.460381 + 0.511305i −0.927977 0.372637i \(-0.878454\pi\)
0.467596 + 0.883942i \(0.345120\pi\)
\(620\) 4.25902 + 20.0371i 0.171046 + 0.804710i
\(621\) 0.849893 + 1.08330i 0.0341050 + 0.0434714i
\(622\) −9.14123 + 12.5818i −0.366530 + 0.504485i
\(623\) −0.520584 1.45300i −0.0208567 0.0582132i
\(624\) 7.22748 + 5.50483i 0.289331 + 0.220369i
\(625\) −1.42344 13.5431i −0.0569375 0.541724i
\(626\) −12.9306 22.3964i −0.516810 0.895142i
\(627\) 17.4517 37.9500i 0.696954 1.51558i
\(628\) 6.72055 11.6403i 0.268179 0.464500i
\(629\) −9.34234 + 6.78761i −0.372504 + 0.270640i
\(630\) −27.1328 12.5819i −1.08100 0.501276i
\(631\) 4.93069 15.1751i 0.196288 0.604112i −0.803671 0.595073i \(-0.797123\pi\)
0.999959 0.00903831i \(-0.00287702\pi\)
\(632\) −0.482461 1.08363i −0.0191913 0.0431043i
\(633\) 4.65701 + 8.50437i 0.185099 + 0.338018i
\(634\) −0.685734 3.22612i −0.0272340 0.128126i
\(635\) 22.5945 + 4.80262i 0.896637 + 0.190586i
\(636\) 1.50589 4.30139i 0.0597123 0.170561i
\(637\) 25.7704 26.1541i 1.02106 1.03626i
\(638\) −15.7327 4.93062i −0.622862 0.195205i
\(639\) −4.32742 + 3.55589i −0.171190 + 0.140669i
\(640\) −1.53261 + 3.44230i −0.0605818 + 0.136069i
\(641\) −10.6874 9.62296i −0.422126 0.380084i 0.430513 0.902584i \(-0.358333\pi\)
−0.852639 + 0.522500i \(0.824999\pi\)
\(642\) 3.27180 13.8463i 0.129128 0.546470i
\(643\) 12.1756 + 8.84606i 0.480157 + 0.348854i 0.801386 0.598147i \(-0.204096\pi\)
−0.321229 + 0.947001i \(0.604096\pi\)
\(644\) −0.368522 0.596415i −0.0145218 0.0235021i
\(645\) 33.5541 10.0700i 1.32119 0.396507i
\(646\) −4.18195 + 19.6745i −0.164537 + 0.774084i
\(647\) −4.33708 + 9.74124i −0.170508 + 0.382968i −0.978506 0.206218i \(-0.933885\pi\)
0.807998 + 0.589185i \(0.200551\pi\)
\(648\) −1.74491 + 8.82923i −0.0685466 + 0.346845i
\(649\) −4.01700 34.7233i −0.157681 1.36301i
\(650\) 48.2480i 1.89244i
\(651\) −7.87065 23.6368i −0.308475 0.926399i
\(652\) −5.17677 15.9325i −0.202738 0.623964i
\(653\) −14.7932 + 13.3198i −0.578901 + 0.521245i −0.905739 0.423836i \(-0.860683\pi\)
0.326838 + 0.945080i \(0.394017\pi\)
\(654\) −4.78758 8.74281i −0.187209 0.341871i
\(655\) −31.6478 3.32632i −1.23658 0.129970i
\(656\) −4.77905 5.30767i −0.186591 0.207230i
\(657\) 1.92702 42.6065i 0.0751801 1.66224i
\(658\) 6.65462 + 6.96082i 0.259424 + 0.271361i
\(659\) 9.69431 0.377637 0.188818 0.982012i \(-0.439534\pi\)
0.188818 + 0.982012i \(0.439534\pi\)
\(660\) −8.56339 19.8800i −0.333330 0.773827i
\(661\) 1.99317 + 3.45228i 0.0775255 + 0.134278i 0.902182 0.431356i \(-0.141965\pi\)
−0.824656 + 0.565634i \(0.808631\pi\)
\(662\) −15.4270 6.86854i −0.599587 0.266953i
\(663\) 23.1839 9.70052i 0.900389 0.376737i
\(664\) 0.551176 1.69635i 0.0213898 0.0658310i
\(665\) −63.8330 34.3537i −2.47534 1.33218i
\(666\) −10.4541 + 6.89593i −0.405088 + 0.267212i
\(667\) 0.978916 0.881420i 0.0379038 0.0341287i
\(668\) 16.8334 18.6953i 0.651302 0.723344i
\(669\) 6.17364 + 32.6569i 0.238687 + 1.26259i
\(670\) −28.6339 16.5318i −1.10622 0.638678i
\(671\) −3.86200 11.4764i −0.149091 0.443040i
\(672\) 1.38435 4.36848i 0.0534023 0.168518i
\(673\) −27.7071 38.1355i −1.06803 1.47002i −0.872055 0.489408i \(-0.837213\pi\)
−0.195975 0.980609i \(-0.562787\pi\)
\(674\) −1.11084 + 5.22609i −0.0427879 + 0.201301i
\(675\) 42.9164 21.0390i 1.65185 0.809791i
\(676\) 1.51704 14.4337i 0.0583477 0.555141i
\(677\) 28.8505 12.8451i 1.10882 0.493677i 0.231135 0.972922i \(-0.425756\pi\)
0.877681 + 0.479245i \(0.159089\pi\)
\(678\) 4.96776 + 16.5530i 0.190786 + 0.635713i
\(679\) −10.7130 0.803317i −0.411128 0.0308285i
\(680\) 6.12669 + 8.43266i 0.234948 + 0.323378i
\(681\) −14.5972 + 1.20144i −0.559366 + 0.0460393i
\(682\) 7.16107 16.5475i 0.274212 0.633635i
\(683\) 15.9623 9.21585i 0.610781 0.352635i −0.162490 0.986710i \(-0.551953\pi\)
0.773271 + 0.634076i \(0.218619\pi\)
\(684\) −5.49479 + 21.1105i −0.210098 + 0.807180i
\(685\) −9.30847 28.6485i −0.355658 1.09460i
\(686\) −16.8035 7.78740i −0.641559 0.297324i
\(687\) −0.814968 + 36.0565i −0.0310930 + 1.37564i
\(688\) 2.18326 + 4.90369i 0.0832361 + 0.186951i
\(689\) −13.4998 + 2.86948i −0.514303 + 0.109318i
\(690\) 1.71542 + 0.219593i 0.0653050 + 0.00835976i
\(691\) 2.86914 + 27.2981i 0.109147 + 1.03847i 0.902789 + 0.430083i \(0.141516\pi\)
−0.793642 + 0.608385i \(0.791818\pi\)
\(692\) −10.5414 −0.400725
\(693\) 13.0513 + 22.8618i 0.495778 + 0.868449i
\(694\) 31.8902 1.21053
\(695\) 5.58443 + 53.1323i 0.211830 + 2.01542i
\(696\) 8.54047 + 1.09327i 0.323726 + 0.0414404i
\(697\) −19.3252 + 4.10769i −0.731993 + 0.155590i
\(698\) −1.85387 4.16387i −0.0701702 0.157605i
\(699\) −0.181368 + 8.02423i −0.00685998 + 0.303504i
\(700\) −22.9104 + 8.20840i −0.865933 + 0.310248i
\(701\) 6.68560 + 20.5761i 0.252511 + 0.777150i 0.994310 + 0.106527i \(0.0339732\pi\)
−0.741798 + 0.670623i \(0.766027\pi\)
\(702\) 25.5928 9.37353i 0.965939 0.353781i
\(703\) −26.2877 + 15.1772i −0.991459 + 0.572419i
\(704\) 2.85479 1.68825i 0.107594 0.0636283i
\(705\) −23.6750 + 1.94860i −0.891653 + 0.0733886i
\(706\) −11.8463 16.3050i −0.445841 0.613647i
\(707\) 9.33501 + 19.3866i 0.351079 + 0.729107i
\(708\) 5.24723 + 17.4842i 0.197203 + 0.657095i
\(709\) −5.02191 + 2.23590i −0.188602 + 0.0839709i −0.498865 0.866680i \(-0.666250\pi\)
0.310263 + 0.950651i \(0.399583\pi\)
\(710\) −0.735353 + 6.99641i −0.0275973 + 0.262571i
\(711\) −3.51861 0.531489i −0.131958 0.0199324i
\(712\) −0.121289 + 0.570618i −0.00454548 + 0.0213848i
\(713\) 0.846744 + 1.16544i 0.0317108 + 0.0436462i
\(714\) −8.55052 9.35848i −0.319995 0.350232i
\(715\) −37.9739 + 53.4325i −1.42014 + 1.99826i
\(716\) −11.1377 6.43034i −0.416234 0.240313i
\(717\) −3.10166 16.4069i −0.115834 0.612727i
\(718\) −1.17775 + 1.30802i −0.0439532 + 0.0488150i
\(719\) −7.20815 + 6.49025i −0.268819 + 0.242045i −0.792504 0.609866i \(-0.791223\pi\)
0.523686 + 0.851911i \(0.324557\pi\)
\(720\) 6.22446 + 9.43616i 0.231972 + 0.351665i
\(721\) −0.342764 11.4700i −0.0127652 0.427163i
\(722\) −10.4669 + 32.2139i −0.389539 + 1.19888i
\(723\) −11.7780 + 4.92809i −0.438028 + 0.183278i
\(724\) −11.9506 5.32076i −0.444141 0.197744i
\(725\) −22.8628 39.5996i −0.849104 1.47069i
\(726\) −3.99273 + 18.6295i −0.148184 + 0.691405i
\(727\) 50.8145 1.88460 0.942302 0.334763i \(-0.108656\pi\)
0.942302 + 0.334763i \(0.108656\pi\)
\(728\) −13.4823 + 3.28954i −0.499686 + 0.121918i
\(729\) 19.4977 + 18.6773i 0.722136 + 0.691751i
\(730\) −35.8449 39.8098i −1.32668 1.47343i
\(731\) 14.7671 + 1.55209i 0.546181 + 0.0574059i
\(732\) 3.03724 + 5.54644i 0.112260 + 0.205002i
\(733\) −1.63832 + 1.47515i −0.0605127 + 0.0544859i −0.698832 0.715286i \(-0.746297\pi\)
0.638319 + 0.769772i \(0.279630\pi\)
\(734\) 10.8978 + 33.5399i 0.402244 + 1.23798i
\(735\) 41.0167 20.1193i 1.51292 0.742110i
\(736\) 0.264985i 0.00976748i
\(737\) 12.1143 + 26.4610i 0.446234 + 0.974705i
\(738\) −21.1382 + 3.50334i −0.778108 + 0.128960i
\(739\) 15.9402 35.8022i 0.586369 1.31701i −0.340013 0.940421i \(-0.610432\pi\)
0.926382 0.376585i \(-0.122902\pi\)
\(740\) −3.27045 + 15.3863i −0.120224 + 0.565610i
\(741\) 63.2726 18.9890i 2.32438 0.697577i
\(742\) 3.65928 + 5.92217i 0.134336 + 0.217410i
\(743\) −15.3857 11.1784i −0.564447 0.410095i 0.268637 0.963242i \(-0.413427\pi\)
−0.833084 + 0.553147i \(0.813427\pi\)
\(744\) −2.16535 + 9.16378i −0.0793856 + 0.335960i
\(745\) −62.0222 55.8451i −2.27232 2.04601i
\(746\) 5.88280 13.2130i 0.215385 0.483762i
\(747\) −3.39715 4.13423i −0.124295 0.151264i
\(748\) −0.0959135 9.17405i −0.00350695 0.335436i
\(749\) 13.2938 + 17.1930i 0.485746 + 0.628217i
\(750\) 9.05388 25.8613i 0.330601 0.944322i
\(751\) 1.88501 + 0.400671i 0.0687850 + 0.0146207i 0.242176 0.970232i \(-0.422139\pi\)
−0.173391 + 0.984853i \(0.555472\pi\)
\(752\) −0.756757 3.56026i −0.0275961 0.129829i
\(753\) −0.721185 1.31699i −0.0262814 0.0479937i
\(754\) −10.6056 23.8205i −0.386232 0.867492i
\(755\) −9.19794 + 28.3083i −0.334747 + 1.03025i
\(756\) −8.80508 10.5580i −0.320238 0.383989i
\(757\) −15.2308 + 11.0658i −0.553571 + 0.402193i −0.829100 0.559100i \(-0.811147\pi\)
0.275529 + 0.961293i \(0.411147\pi\)
\(758\) 1.55606 2.69517i 0.0565186 0.0978931i
\(759\) −1.11878 1.03223i −0.0406091 0.0374675i
\(760\) 13.6994 + 23.7280i 0.496928 + 0.860705i
\(761\) 1.66051 + 15.7987i 0.0601935 + 0.572703i 0.982502 + 0.186250i \(0.0596333\pi\)
−0.922309 + 0.386453i \(0.873700\pi\)
\(762\) 8.44689 + 6.43360i 0.305999 + 0.233065i
\(763\) 14.9813 + 2.71940i 0.542359 + 0.0984490i
\(764\) −13.2399 + 18.2231i −0.479001 + 0.659288i
\(765\) 31.2147 1.86017i 1.12857 0.0672544i
\(766\) −0.256078 1.20475i −0.00925246 0.0435294i
\(767\) 36.9907 41.0823i 1.33566 1.48340i
\(768\) −1.31302 + 1.12959i −0.0473797 + 0.0407604i
\(769\) 30.6858i 1.10656i 0.832996 + 0.553279i \(0.186624\pi\)
−0.832996 + 0.553279i \(0.813376\pi\)
\(770\) 31.8327 + 8.94137i 1.14717 + 0.322225i
\(771\) −21.4624 + 14.8641i −0.772948 + 0.535318i
\(772\) −3.31851 + 0.348790i −0.119436 + 0.0125532i
\(773\)