Properties

Label 570.2.bi.a.233.10
Level $570$
Weight $2$
Character 570.233
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 233.10
Character \(\chi\) \(=\) 570.233
Dual form 570.2.bi.a.137.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.906308 - 0.422618i) q^{2} +(-0.0197421 + 1.73194i) q^{3} +(0.642788 + 0.766044i) q^{4} +(1.82764 + 1.28830i) q^{5} +(0.749841 - 1.56133i) q^{6} +(-2.23592 - 0.599112i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.99922 - 0.0683842i) q^{9} +O(q^{10})\) \(q+(-0.906308 - 0.422618i) q^{2} +(-0.0197421 + 1.73194i) q^{3} +(0.642788 + 0.766044i) q^{4} +(1.82764 + 1.28830i) q^{5} +(0.749841 - 1.56133i) q^{6} +(-2.23592 - 0.599112i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.99922 - 0.0683842i) q^{9} +(-1.11195 - 1.93999i) q^{10} +(-4.47974 - 2.58638i) q^{11} +(-1.33943 + 1.09815i) q^{12} +(-3.32596 + 4.74996i) q^{13} +(1.77323 + 1.48792i) q^{14} +(-2.26734 + 3.13993i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-3.71246 - 1.73115i) q^{17} +(2.68932 + 1.32950i) q^{18} +(4.35033 + 0.273142i) q^{19} +(0.187889 + 2.22816i) q^{20} +(1.08177 - 3.86064i) q^{21} +(2.96697 + 4.23727i) q^{22} +(0.253139 - 2.89339i) q^{23} +(1.67803 - 0.429189i) q^{24} +(1.68056 + 4.70911i) q^{25} +(5.02176 - 2.89931i) q^{26} +(0.177648 - 5.19311i) q^{27} +(-0.978273 - 2.09791i) q^{28} +(-3.37172 - 1.22720i) q^{29} +(3.38190 - 1.88752i) q^{30} +(-2.06984 - 3.58508i) q^{31} +(0.573576 - 0.819152i) q^{32} +(4.56788 - 7.70756i) q^{33} +(2.63302 + 3.13791i) q^{34} +(-3.31462 - 3.97550i) q^{35} +(-1.87548 - 2.34149i) q^{36} +(-4.36608 + 4.36608i) q^{37} +(-3.82731 - 2.08608i) q^{38} +(-8.16097 - 5.85413i) q^{39} +(0.771375 - 2.09880i) q^{40} +(5.60496 + 0.988305i) q^{41} +(-2.61199 + 3.04176i) q^{42} +(0.946125 + 10.8143i) q^{43} +(-0.898239 - 5.09417i) q^{44} +(-5.39340 - 3.98888i) q^{45} +(-1.45222 + 2.51532i) q^{46} +(0.232938 + 0.499537i) q^{47} +(-1.70220 - 0.320190i) q^{48} +(-1.42179 - 0.820871i) q^{49} +(0.467056 - 4.97814i) q^{50} +(3.07154 - 6.39558i) q^{51} +(-5.77656 + 0.505384i) q^{52} +(-0.614888 + 7.02820i) q^{53} +(-2.35571 + 4.63148i) q^{54} +(-4.85532 - 10.4982i) q^{55} +2.31479i q^{56} +(-0.558950 + 7.52912i) q^{57} +(2.53717 + 2.53717i) q^{58} +(-3.30604 + 1.20330i) q^{59} +(-3.86275 + 0.281424i) q^{60} +(-4.90968 + 4.11971i) q^{61} +(0.360798 + 4.12394i) q^{62} +(6.66504 + 1.94977i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-12.1980 + 4.39639i) q^{65} +(-7.39727 + 5.05495i) q^{66} +(11.0121 - 5.13504i) q^{67} +(-1.06019 - 3.95667i) q^{68} +(5.00617 + 0.495542i) q^{69} +(1.32395 + 5.00384i) q^{70} +(4.62681 - 5.51402i) q^{71} +(0.710201 + 2.91472i) q^{72} +(-7.92870 + 5.55173i) q^{73} +(5.80220 - 2.11183i) q^{74} +(-8.18907 + 2.81765i) q^{75} +(2.58710 + 3.50812i) q^{76} +(8.46679 + 8.46679i) q^{77} +(4.92229 + 8.75462i) q^{78} +(-0.848542 - 0.149621i) q^{79} +(-1.58610 + 1.57617i) q^{80} +(8.99065 + 0.410198i) q^{81} +(-4.66214 - 3.26447i) q^{82} +(-16.6569 - 4.46320i) q^{83} +(3.65277 - 1.65289i) q^{84} +(-4.55481 - 7.94670i) q^{85} +(3.71282 - 10.2009i) q^{86} +(2.19201 - 5.81538i) q^{87} +(-1.33881 + 4.99650i) q^{88} +(-1.20696 - 6.84502i) q^{89} +(3.20231 + 5.89451i) q^{90} +(10.2823 - 8.62789i) q^{91} +(2.37918 - 1.66592i) q^{92} +(6.24999 - 3.51407i) q^{93} -0.551178i q^{94} +(7.59896 + 6.10375i) q^{95} +(1.40740 + 1.00957i) q^{96} +(-3.47002 + 7.44149i) q^{97} +(0.941664 + 1.34484i) q^{98} +(13.2588 + 8.06346i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.906308 0.422618i −0.640856 0.298836i
\(3\) −0.0197421 + 1.73194i −0.0113981 + 0.999935i
\(4\) 0.642788 + 0.766044i 0.321394 + 0.383022i
\(5\) 1.82764 + 1.28830i 0.817347 + 0.576146i
\(6\) 0.749841 1.56133i 0.306121 0.637409i
\(7\) −2.23592 0.599112i −0.845097 0.226443i −0.189808 0.981821i \(-0.560787\pi\)
−0.655289 + 0.755378i \(0.727453\pi\)
\(8\) −0.258819 0.965926i −0.0915064 0.341506i
\(9\) −2.99922 0.0683842i −0.999740 0.0227947i
\(10\) −1.11195 1.93999i −0.351628 0.613480i
\(11\) −4.47974 2.58638i −1.35069 0.779822i −0.362345 0.932044i \(-0.618024\pi\)
−0.988346 + 0.152222i \(0.951357\pi\)
\(12\) −1.33943 + 1.09815i −0.386661 + 0.317007i
\(13\) −3.32596 + 4.74996i −0.922454 + 1.31740i 0.0257261 + 0.999669i \(0.491810\pi\)
−0.948180 + 0.317732i \(0.897079\pi\)
\(14\) 1.77323 + 1.48792i 0.473916 + 0.397663i
\(15\) −2.26734 + 3.13993i −0.585425 + 0.810727i
\(16\) −0.173648 + 0.984808i −0.0434120 + 0.246202i
\(17\) −3.71246 1.73115i −0.900405 0.419866i −0.0834129 0.996515i \(-0.526582\pi\)
−0.816992 + 0.576650i \(0.804360\pi\)
\(18\) 2.68932 + 1.32950i 0.633878 + 0.313367i
\(19\) 4.35033 + 0.273142i 0.998035 + 0.0626631i
\(20\) 0.187889 + 2.22816i 0.0420134 + 0.498232i
\(21\) 1.08177 3.86064i 0.236061 0.842461i
\(22\) 2.96697 + 4.23727i 0.632560 + 0.903389i
\(23\) 0.253139 2.89339i 0.0527830 0.603313i −0.923033 0.384720i \(-0.874298\pi\)
0.975816 0.218593i \(-0.0701466\pi\)
\(24\) 1.67803 0.429189i 0.342527 0.0876079i
\(25\) 1.68056 + 4.70911i 0.336111 + 0.941822i
\(26\) 5.02176 2.89931i 0.984848 0.568602i
\(27\) 0.177648 5.19311i 0.0341884 0.999415i
\(28\) −0.978273 2.09791i −0.184876 0.396468i
\(29\) −3.37172 1.22720i −0.626112 0.227886i 0.00942624 0.999956i \(-0.496999\pi\)
−0.635538 + 0.772069i \(0.719222\pi\)
\(30\) 3.38190 1.88752i 0.617448 0.344613i
\(31\) −2.06984 3.58508i −0.371755 0.643899i 0.618081 0.786115i \(-0.287911\pi\)
−0.989836 + 0.142216i \(0.954577\pi\)
\(32\) 0.573576 0.819152i 0.101395 0.144807i
\(33\) 4.56788 7.70756i 0.795166 1.34171i
\(34\) 2.63302 + 3.13791i 0.451559 + 0.538147i
\(35\) −3.31462 3.97550i −0.560273 0.671982i
\(36\) −1.87548 2.34149i −0.312579 0.390249i
\(37\) −4.36608 + 4.36608i −0.717779 + 0.717779i −0.968150 0.250371i \(-0.919447\pi\)
0.250371 + 0.968150i \(0.419447\pi\)
\(38\) −3.82731 2.08608i −0.620871 0.338407i
\(39\) −8.16097 5.85413i −1.30680 0.937410i
\(40\) 0.771375 2.09880i 0.121965 0.331850i
\(41\) 5.60496 + 0.988305i 0.875347 + 0.154347i 0.593230 0.805033i \(-0.297852\pi\)
0.282117 + 0.959380i \(0.408963\pi\)
\(42\) −2.61199 + 3.04176i −0.403039 + 0.469353i
\(43\) 0.946125 + 10.8143i 0.144283 + 1.64916i 0.631134 + 0.775674i \(0.282590\pi\)
−0.486852 + 0.873485i \(0.661855\pi\)
\(44\) −0.898239 5.09417i −0.135415 0.767975i
\(45\) −5.39340 3.98888i −0.804001 0.594628i
\(46\) −1.45222 + 2.51532i −0.214118 + 0.370863i
\(47\) 0.232938 + 0.499537i 0.0339775 + 0.0728649i 0.922564 0.385844i \(-0.126090\pi\)
−0.888586 + 0.458709i \(0.848312\pi\)
\(48\) −1.70220 0.320190i −0.245691 0.0462155i
\(49\) −1.42179 0.820871i −0.203113 0.117267i
\(50\) 0.467056 4.97814i 0.0660517 0.704015i
\(51\) 3.07154 6.39558i 0.430101 0.895560i
\(52\) −5.77656 + 0.505384i −0.801065 + 0.0700841i
\(53\) −0.614888 + 7.02820i −0.0844613 + 0.965397i 0.829208 + 0.558940i \(0.188792\pi\)
−0.913670 + 0.406458i \(0.866764\pi\)
\(54\) −2.35571 + 4.63148i −0.320571 + 0.630265i
\(55\) −4.85532 10.4982i −0.654691 1.41558i
\(56\) 2.31479i 0.309327i
\(57\) −0.558950 + 7.52912i −0.0740348 + 0.997256i
\(58\) 2.53717 + 2.53717i 0.333147 + 0.333147i
\(59\) −3.30604 + 1.20330i −0.430409 + 0.156656i −0.548135 0.836390i \(-0.684662\pi\)
0.117726 + 0.993046i \(0.462440\pi\)
\(60\) −3.86275 + 0.281424i −0.498678 + 0.0363317i
\(61\) −4.90968 + 4.11971i −0.628620 + 0.527475i −0.900500 0.434856i \(-0.856799\pi\)
0.271880 + 0.962331i \(0.412355\pi\)
\(62\) 0.360798 + 4.12394i 0.0458213 + 0.523740i
\(63\) 6.66504 + 1.94977i 0.839716 + 0.245648i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) −12.1980 + 4.39639i −1.51298 + 0.545305i
\(66\) −7.39727 + 5.05495i −0.910541 + 0.622222i
\(67\) 11.0121 5.13504i 1.34534 0.627345i 0.389448 0.921048i \(-0.372666\pi\)
0.955897 + 0.293704i \(0.0948879\pi\)
\(68\) −1.06019 3.95667i −0.128567 0.479817i
\(69\) 5.00617 + 0.495542i 0.602672 + 0.0596562i
\(70\) 1.32395 + 5.00384i 0.158242 + 0.598074i
\(71\) 4.62681 5.51402i 0.549101 0.654393i −0.418101 0.908401i \(-0.637304\pi\)
0.967202 + 0.254007i \(0.0817487\pi\)
\(72\) 0.710201 + 2.91472i 0.0836980 + 0.343503i
\(73\) −7.92870 + 5.55173i −0.927984 + 0.649781i −0.936682 0.350181i \(-0.886120\pi\)
0.00869809 + 0.999962i \(0.497231\pi\)
\(74\) 5.80220 2.11183i 0.674492 0.245495i
\(75\) −8.18907 + 2.81765i −0.945592 + 0.325354i
\(76\) 2.58710 + 3.50812i 0.296761 + 0.402409i
\(77\) 8.46679 + 8.46679i 0.964880 + 0.964880i
\(78\) 4.92229 + 8.75462i 0.557340 + 0.991265i
\(79\) −0.848542 0.149621i −0.0954684 0.0168337i 0.125710 0.992067i \(-0.459879\pi\)
−0.221178 + 0.975233i \(0.570990\pi\)
\(80\) −1.58610 + 1.57617i −0.177331 + 0.176221i
\(81\) 8.99065 + 0.410198i 0.998961 + 0.0455776i
\(82\) −4.66214 3.26447i −0.514847 0.360500i
\(83\) −16.6569 4.46320i −1.82833 0.489900i −0.830578 0.556902i \(-0.811990\pi\)
−0.997753 + 0.0670023i \(0.978657\pi\)
\(84\) 3.65277 1.65289i 0.398550 0.180345i
\(85\) −4.55481 7.94670i −0.494039 0.861940i
\(86\) 3.71282 10.2009i 0.400364 1.09999i
\(87\) 2.19201 5.81538i 0.235008 0.623474i
\(88\) −1.33881 + 4.99650i −0.142717 + 0.532628i
\(89\) −1.20696 6.84502i −0.127938 0.725570i −0.979520 0.201349i \(-0.935468\pi\)
0.851582 0.524221i \(-0.175644\pi\)
\(90\) 3.20231 + 5.89451i 0.337553 + 0.621336i
\(91\) 10.2823 8.62789i 1.07788 0.904449i
\(92\) 2.37918 1.66592i 0.248046 0.173684i
\(93\) 6.24999 3.51407i 0.648094 0.364392i
\(94\) 0.551178i 0.0568496i
\(95\) 7.59896 + 6.10375i 0.779637 + 0.626231i
\(96\) 1.40740 + 1.00957i 0.143642 + 0.103039i
\(97\) −3.47002 + 7.44149i −0.352328 + 0.755569i −0.999980 0.00636721i \(-0.997973\pi\)
0.647652 + 0.761936i \(0.275751\pi\)
\(98\) 0.941664 + 1.34484i 0.0951225 + 0.135849i
\(99\) 13.2588 + 8.06346i 1.33256 + 0.810408i
\(100\) −2.52715 + 4.31434i −0.252715 + 0.431434i
\(101\) −3.02182 + 0.532828i −0.300682 + 0.0530184i −0.321954 0.946755i \(-0.604340\pi\)
0.0212718 + 0.999774i \(0.493228\pi\)
\(102\) −5.48665 + 4.49828i −0.543259 + 0.445396i
\(103\) 6.12774 1.64192i 0.603785 0.161784i 0.0560391 0.998429i \(-0.482153\pi\)
0.547746 + 0.836645i \(0.315486\pi\)
\(104\) 5.44893 + 1.98325i 0.534311 + 0.194473i
\(105\) 6.95076 5.66223i 0.678324 0.552577i
\(106\) 3.52752 6.10985i 0.342623 0.593441i
\(107\) −4.85015 + 18.1010i −0.468882 + 1.74989i 0.174806 + 0.984603i \(0.444070\pi\)
−0.643688 + 0.765288i \(0.722596\pi\)
\(108\) 4.09235 3.20198i 0.393786 0.308111i
\(109\) −2.25897 + 2.69213i −0.216370 + 0.257859i −0.863302 0.504688i \(-0.831607\pi\)
0.646932 + 0.762548i \(0.276052\pi\)
\(110\) −0.0363253 + 11.5666i −0.00346348 + 1.10283i
\(111\) −7.47558 7.64797i −0.709551 0.725914i
\(112\) 0.978273 2.09791i 0.0924381 0.198234i
\(113\) 5.50212 5.50212i 0.517596 0.517596i −0.399248 0.916843i \(-0.630729\pi\)
0.916843 + 0.399248i \(0.130729\pi\)
\(114\) 3.68852 6.58747i 0.345462 0.616973i
\(115\) 4.19020 4.96196i 0.390738 0.462705i
\(116\) −1.22720 3.37172i −0.113943 0.313056i
\(117\) 10.3001 14.0187i 0.952245 1.29603i
\(118\) 3.50482 + 0.306632i 0.322645 + 0.0282278i
\(119\) 7.26360 + 6.09489i 0.665854 + 0.558717i
\(120\) 3.61977 + 1.37741i 0.330438 + 0.125740i
\(121\) 7.87869 + 13.6463i 0.716244 + 1.24057i
\(122\) 6.19075 1.65881i 0.560484 0.150181i
\(123\) −1.82234 + 9.68793i −0.164315 + 0.873531i
\(124\) 1.41586 3.89003i 0.127148 0.349335i
\(125\) −2.99530 + 10.7716i −0.267908 + 0.963445i
\(126\) −5.21657 4.58386i −0.464729 0.408363i
\(127\) −5.12591 3.58920i −0.454851 0.318490i 0.323602 0.946193i \(-0.395106\pi\)
−0.778453 + 0.627703i \(0.783995\pi\)
\(128\) 0.996195 0.0871557i 0.0880520 0.00770355i
\(129\) −18.7483 + 1.42513i −1.65070 + 0.125476i
\(130\) 12.9132 + 1.17063i 1.13256 + 0.102671i
\(131\) 6.73041 + 18.4916i 0.588038 + 1.61562i 0.774086 + 0.633081i \(0.218210\pi\)
−0.186047 + 0.982541i \(0.559568\pi\)
\(132\) 8.84052 1.45513i 0.769468 0.126652i
\(133\) −9.56334 3.21706i −0.829247 0.278954i
\(134\) −12.1505 −1.04965
\(135\) 7.01498 9.26229i 0.603753 0.797171i
\(136\) −0.711306 + 4.03402i −0.0609940 + 0.345914i
\(137\) 3.24428 + 0.283838i 0.277177 + 0.0242499i 0.224897 0.974383i \(-0.427795\pi\)
0.0522805 + 0.998632i \(0.483351\pi\)
\(138\) −4.32771 2.56481i −0.368399 0.218331i
\(139\) −0.515750 + 0.0909406i −0.0437453 + 0.00771348i −0.195478 0.980708i \(-0.562626\pi\)
0.151733 + 0.988422i \(0.451515\pi\)
\(140\) 0.914812 5.09455i 0.0773158 0.430568i
\(141\) −0.869765 + 0.393572i −0.0732474 + 0.0331447i
\(142\) −6.52364 + 3.04202i −0.547452 + 0.255281i
\(143\) 27.1846 12.6764i 2.27329 1.06005i
\(144\) 0.588154 2.94178i 0.0490129 0.245148i
\(145\) −4.58128 6.58668i −0.380455 0.546994i
\(146\) 9.53211 1.68077i 0.788883 0.139101i
\(147\) 1.44977 2.44625i 0.119575 0.201763i
\(148\) −6.15107 0.538149i −0.505615 0.0442356i
\(149\) 0.700477 3.97260i 0.0573853 0.325448i −0.942578 0.333985i \(-0.891606\pi\)
0.999964 + 0.00853717i \(0.00271750\pi\)
\(150\) 8.61261 + 0.907191i 0.703216 + 0.0740718i
\(151\) 5.20148 0.423290 0.211645 0.977347i \(-0.432118\pi\)
0.211645 + 0.977347i \(0.432118\pi\)
\(152\) −0.862114 4.27279i −0.0699267 0.346569i
\(153\) 11.0161 + 5.44597i 0.890600 + 0.440281i
\(154\) −4.09530 11.2517i −0.330008 0.906690i
\(155\) 0.835724 9.21882i 0.0671270 0.740474i
\(156\) −0.761252 10.0146i −0.0609489 0.801812i
\(157\) −1.96743 + 0.172128i −0.157018 + 0.0137373i −0.165394 0.986228i \(-0.552890\pi\)
0.00837553 + 0.999965i \(0.497334\pi\)
\(158\) 0.705808 + 0.494212i 0.0561510 + 0.0393174i
\(159\) −12.1603 1.20370i −0.964372 0.0954595i
\(160\) 2.10361 0.758178i 0.166305 0.0599392i
\(161\) −2.29946 + 6.31771i −0.181223 + 0.497906i
\(162\) −7.97494 4.17138i −0.626570 0.327734i
\(163\) 11.9914 3.21309i 0.939240 0.251669i 0.243449 0.969914i \(-0.421721\pi\)
0.695790 + 0.718245i \(0.255054\pi\)
\(164\) 2.84571 + 4.92892i 0.222213 + 0.384884i
\(165\) 18.2781 8.20186i 1.42295 0.638514i
\(166\) 13.2100 + 11.0845i 1.02530 + 0.860327i
\(167\) −0.0725230 0.00634494i −0.00561200 0.000490986i 0.0843494 0.996436i \(-0.473119\pi\)
−0.0899614 + 0.995945i \(0.528674\pi\)
\(168\) −4.00908 0.0456988i −0.309307 0.00352574i
\(169\) −7.05385 19.3803i −0.542604 1.49079i
\(170\) 0.769642 + 9.12710i 0.0590289 + 0.700017i
\(171\) −13.0289 1.11671i −0.996347 0.0853968i
\(172\) −7.67604 + 7.67604i −0.585293 + 0.585293i
\(173\) −5.41205 + 11.6062i −0.411470 + 0.882401i 0.585932 + 0.810361i \(0.300729\pi\)
−0.997402 + 0.0720401i \(0.977049\pi\)
\(174\) −4.44432 + 4.34414i −0.336923 + 0.329328i
\(175\) −0.936297 11.5360i −0.0707774 0.872041i
\(176\) 3.32498 3.96256i 0.250630 0.298689i
\(177\) −2.01877 5.74960i −0.151740 0.432167i
\(178\) −1.79895 + 6.71378i −0.134837 + 0.503219i
\(179\) 6.93997 12.0204i 0.518717 0.898445i −0.481046 0.876695i \(-0.659743\pi\)
0.999763 0.0217495i \(-0.00692364\pi\)
\(180\) −0.411151 6.69559i −0.0306454 0.499060i
\(181\) 22.2735 + 8.10689i 1.65558 + 0.602580i 0.989658 0.143445i \(-0.0458179\pi\)
0.665918 + 0.746025i \(0.268040\pi\)
\(182\) −12.9652 + 3.47403i −0.961048 + 0.257512i
\(183\) −7.03816 8.58460i −0.520276 0.634592i
\(184\) −2.86031 + 0.504351i −0.210865 + 0.0371812i
\(185\) −13.6045 + 2.35480i −1.00022 + 0.173129i
\(186\) −7.14952 + 0.543464i −0.524229 + 0.0398487i
\(187\) 12.1534 + 17.3569i 0.888748 + 1.26926i
\(188\) −0.232938 + 0.499537i −0.0169887 + 0.0364324i
\(189\) −3.50846 + 11.5049i −0.255203 + 0.836861i
\(190\) −4.30744 8.74334i −0.312495 0.634308i
\(191\) 5.89868i 0.426813i 0.976963 + 0.213407i \(0.0684560\pi\)
−0.976963 + 0.213407i \(0.931544\pi\)
\(192\) −0.848872 1.50977i −0.0612621 0.108959i
\(193\) 4.21429 2.95088i 0.303351 0.212409i −0.411982 0.911192i \(-0.635164\pi\)
0.715334 + 0.698783i \(0.246275\pi\)
\(194\) 6.28982 5.27779i 0.451583 0.378923i
\(195\) −7.37346 21.2130i −0.528025 1.51910i
\(196\) −0.285085 1.61680i −0.0203632 0.115486i
\(197\) −3.67348 + 13.7096i −0.261724 + 0.976769i 0.702500 + 0.711683i \(0.252067\pi\)
−0.964225 + 0.265086i \(0.914600\pi\)
\(198\) −8.60883 12.9114i −0.611803 0.917574i
\(199\) −7.74313 + 21.2741i −0.548896 + 1.50808i 0.286307 + 0.958138i \(0.407572\pi\)
−0.835203 + 0.549941i \(0.814650\pi\)
\(200\) 4.11369 2.84210i 0.290882 0.200967i
\(201\) 8.67616 + 19.1737i 0.611969 + 1.35241i
\(202\) 2.96388 + 0.794169i 0.208538 + 0.0558775i
\(203\) 6.80364 + 4.76396i 0.477522 + 0.334365i
\(204\) 6.87364 1.75807i 0.481251 0.123089i
\(205\) 8.97062 + 9.02715i 0.626536 + 0.630483i
\(206\) −6.24753 1.10161i −0.435286 0.0767527i
\(207\) −0.957080 + 8.66060i −0.0665217 + 0.601953i
\(208\) −4.10025 4.10025i −0.284301 0.284301i
\(209\) −18.7819 12.4752i −1.29917 0.862928i
\(210\) −8.69249 + 2.19421i −0.599839 + 0.151415i
\(211\) −1.04348 + 0.379797i −0.0718363 + 0.0261463i −0.377688 0.925933i \(-0.623281\pi\)
0.305852 + 0.952079i \(0.401059\pi\)
\(212\) −5.77915 + 4.04661i −0.396914 + 0.277922i
\(213\) 9.45859 + 8.12221i 0.648092 + 0.556524i
\(214\) 12.0456 14.3553i 0.823417 0.981310i
\(215\) −12.2028 + 20.9835i −0.832227 + 1.43106i
\(216\) −5.06214 + 1.17248i −0.344435 + 0.0797773i
\(217\) 2.48014 + 9.25600i 0.168363 + 0.628338i
\(218\) 3.18506 1.48522i 0.215720 0.100592i
\(219\) −9.45873 13.8416i −0.639162 0.935330i
\(220\) 4.92117 10.4675i 0.331785 0.705720i
\(221\) 20.5704 11.8763i 1.38371 0.798887i
\(222\) 3.54301 + 10.0907i 0.237791 + 0.677246i
\(223\) −1.81795 20.7792i −0.121739 1.39148i −0.773855 0.633362i \(-0.781674\pi\)
0.652117 0.758119i \(-0.273881\pi\)
\(224\) −1.77323 + 1.48792i −0.118479 + 0.0994158i
\(225\) −4.71833 14.2386i −0.314555 0.949239i
\(226\) −7.31191 + 2.66132i −0.486381 + 0.177028i
\(227\) 1.75161 + 1.75161i 0.116259 + 0.116259i 0.762843 0.646584i \(-0.223803\pi\)
−0.646584 + 0.762843i \(0.723803\pi\)
\(228\) −6.12692 + 4.41144i −0.405765 + 0.292155i
\(229\) 28.3541i 1.87369i 0.349742 + 0.936846i \(0.386269\pi\)
−0.349742 + 0.936846i \(0.613731\pi\)
\(230\) −5.89463 + 2.72621i −0.388680 + 0.179761i
\(231\) −14.8311 + 14.4968i −0.975815 + 0.953819i
\(232\) −0.312724 + 3.57445i −0.0205313 + 0.234674i
\(233\) 19.5758 1.71266i 1.28245 0.112200i 0.574527 0.818486i \(-0.305186\pi\)
0.707927 + 0.706286i \(0.249631\pi\)
\(234\) −15.2596 + 8.35227i −0.997553 + 0.546005i
\(235\) −0.217827 + 1.21307i −0.0142095 + 0.0791319i
\(236\) −3.04686 1.75910i −0.198334 0.114508i
\(237\) 0.275886 1.46667i 0.0179207 0.0952704i
\(238\) −4.00725 8.59358i −0.259751 0.557039i
\(239\) −9.44652 + 16.3619i −0.611045 + 1.05836i 0.380020 + 0.924978i \(0.375917\pi\)
−0.991065 + 0.133382i \(0.957416\pi\)
\(240\) −2.69851 2.77814i −0.174188 0.179328i
\(241\) −2.11022 11.9677i −0.135932 0.770906i −0.974207 0.225658i \(-0.927547\pi\)
0.838275 0.545248i \(-0.183564\pi\)
\(242\) −1.37335 15.6974i −0.0882820 1.00907i
\(243\) −0.887933 + 15.5631i −0.0569609 + 0.998376i
\(244\) −6.31176 1.11293i −0.404069 0.0712483i
\(245\) −1.54099 3.33195i −0.0984505 0.212871i
\(246\) 5.74589 8.01009i 0.366345 0.510705i
\(247\) −15.7664 + 19.7554i −1.00319 + 1.25701i
\(248\) −2.92720 + 2.92720i −0.185877 + 0.185877i
\(249\) 8.05883 28.7606i 0.510707 1.82263i
\(250\) 7.26696 8.49655i 0.459603 0.537369i
\(251\) −7.18179 8.55893i −0.453311 0.540235i 0.490185 0.871618i \(-0.336929\pi\)
−0.943496 + 0.331383i \(0.892485\pi\)
\(252\) 2.79059 + 6.35900i 0.175791 + 0.400580i
\(253\) −8.61738 + 12.3069i −0.541770 + 0.773728i
\(254\) 3.12879 + 5.41923i 0.196318 + 0.340033i
\(255\) 13.8531 7.73177i 0.867515 0.484182i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 0.278253 + 0.596715i 0.0173569 + 0.0372221i 0.914795 0.403918i \(-0.132352\pi\)
−0.897438 + 0.441140i \(0.854574\pi\)
\(258\) 17.5940 + 6.63176i 1.09536 + 0.412876i
\(259\) 12.3780 7.14642i 0.769129 0.444057i
\(260\) −11.2086 6.51830i −0.695127 0.404248i
\(261\) 10.0286 + 3.91123i 0.620755 + 0.242099i
\(262\) 1.71508 19.6035i 0.105958 1.21111i
\(263\) −12.8267 18.3184i −0.790926 1.12956i −0.988787 0.149330i \(-0.952288\pi\)
0.197861 0.980230i \(-0.436600\pi\)
\(264\) −8.62719 2.41737i −0.530967 0.148779i
\(265\) −10.1782 + 12.0529i −0.625244 + 0.740402i
\(266\) 7.30774 + 6.95729i 0.448066 + 0.426579i
\(267\) 11.8790 1.95525i 0.726981 0.119659i
\(268\) 11.0121 + 5.13504i 0.672672 + 0.313672i
\(269\) 3.24394 18.3973i 0.197786 1.12170i −0.710608 0.703588i \(-0.751580\pi\)
0.908395 0.418114i \(-0.137309\pi\)
\(270\) −10.2721 + 5.42983i −0.625143 + 0.330449i
\(271\) −14.9483 12.5431i −0.908042 0.761938i 0.0637034 0.997969i \(-0.479709\pi\)
−0.971746 + 0.236031i \(0.924153\pi\)
\(272\) 2.34951 3.35545i 0.142460 0.203454i
\(273\) 14.7400 + 17.9787i 0.892104 + 1.08812i
\(274\) −2.82036 1.62834i −0.170384 0.0983713i
\(275\) 4.65109 25.4421i 0.280471 1.53422i
\(276\) 2.83830 + 4.15348i 0.170845 + 0.250010i
\(277\) 5.17413 + 19.3101i 0.310884 + 1.16023i 0.927761 + 0.373174i \(0.121731\pi\)
−0.616878 + 0.787059i \(0.711603\pi\)
\(278\) 0.505861 + 0.135545i 0.0303395 + 0.00812945i
\(279\) 5.96276 + 10.8940i 0.356981 + 0.652205i
\(280\) −2.98215 + 4.23061i −0.178218 + 0.252827i
\(281\) 4.93989 + 5.88714i 0.294689 + 0.351197i 0.892992 0.450073i \(-0.148602\pi\)
−0.598302 + 0.801271i \(0.704158\pi\)
\(282\) 0.954606 + 0.0108814i 0.0568459 + 0.000647978i
\(283\) −14.3617 6.69696i −0.853713 0.398093i −0.0540471 0.998538i \(-0.517212\pi\)
−0.799666 + 0.600446i \(0.794990\pi\)
\(284\) 7.19804 0.427125
\(285\) −10.7213 + 13.0404i −0.635077 + 0.772449i
\(286\) −29.9949 −1.77363
\(287\) −11.9401 5.56777i −0.704803 0.328655i
\(288\) −1.77630 + 2.41759i −0.104669 + 0.142458i
\(289\) −0.141889 0.169096i −0.00834639 0.00994684i
\(290\) 1.36840 + 7.90569i 0.0803553 + 0.464238i
\(291\) −12.8197 6.15678i −0.751504 0.360917i
\(292\) −9.34935 2.50515i −0.547129 0.146603i
\(293\) 0.672813 + 2.51097i 0.0393062 + 0.146693i 0.982790 0.184725i \(-0.0591396\pi\)
−0.943484 + 0.331418i \(0.892473\pi\)
\(294\) −2.34776 + 1.60435i −0.136924 + 0.0935679i
\(295\) −7.59246 2.05997i −0.442050 0.119936i
\(296\) 5.34733 + 3.08728i 0.310807 + 0.179445i
\(297\) −14.2272 + 22.8043i −0.825544 + 1.32324i
\(298\) −2.31374 + 3.30437i −0.134031 + 0.191417i
\(299\) 12.9015 + 10.8257i 0.746115 + 0.626065i
\(300\) −7.42228 4.46204i −0.428525 0.257616i
\(301\) 4.36349 24.7466i 0.251508 1.42637i
\(302\) −4.71414 2.19824i −0.271268 0.126495i
\(303\) −0.863168 5.24412i −0.0495877 0.301267i
\(304\) −1.02442 + 4.23681i −0.0587545 + 0.242998i
\(305\) −14.2806 + 1.20421i −0.817703 + 0.0689528i
\(306\) −7.68242 9.59134i −0.439175 0.548300i
\(307\) −13.2673 18.9477i −0.757207 1.08140i −0.993950 0.109832i \(-0.964969\pi\)
0.236743 0.971572i \(-0.423920\pi\)
\(308\) −1.04359 + 11.9283i −0.0594640 + 0.679677i
\(309\) 2.72274 + 10.6453i 0.154891 + 0.605589i
\(310\) −4.65347 + 8.00190i −0.264299 + 0.454477i
\(311\) −20.4202 + 11.7896i −1.15792 + 0.668527i −0.950805 0.309789i \(-0.899741\pi\)
−0.207117 + 0.978316i \(0.566408\pi\)
\(312\) −3.54244 + 9.39805i −0.200551 + 0.532060i
\(313\) −6.51677 13.9753i −0.368350 0.789929i −0.999894 0.0145884i \(-0.995356\pi\)
0.631544 0.775340i \(-0.282422\pi\)
\(314\) 1.85584 + 0.675472i 0.104731 + 0.0381191i
\(315\) 9.66941 + 12.1501i 0.544810 + 0.684579i
\(316\) −0.430816 0.746195i −0.0242353 0.0419768i
\(317\) −11.0441 + 15.7726i −0.620300 + 0.885880i −0.999218 0.0395505i \(-0.987407\pi\)
0.378918 + 0.925430i \(0.376296\pi\)
\(318\) 10.5122 + 6.23007i 0.589497 + 0.349365i
\(319\) 11.9304 + 14.2181i 0.667973 + 0.796059i
\(320\) −2.22694 0.201881i −0.124490 0.0112855i
\(321\) −31.2541 8.75752i −1.74443 0.488797i
\(322\) 4.75400 4.75400i 0.264930 0.264930i
\(323\) −15.6776 8.54511i −0.872325 0.475463i
\(324\) 5.46485 + 7.15091i 0.303603 + 0.397273i
\(325\) −27.9575 7.67973i −1.55081 0.425995i
\(326\) −12.2258 2.15574i −0.677125 0.119395i
\(327\) −4.61801 3.96554i −0.255376 0.219295i
\(328\) −0.496040 5.66977i −0.0273892 0.313060i
\(329\) −0.221551 1.25648i −0.0122145 0.0692719i
\(330\) −20.0319 0.291262i −1.10272 0.0160334i
\(331\) −9.50400 + 16.4614i −0.522387 + 0.904801i 0.477274 + 0.878755i \(0.341625\pi\)
−0.999661 + 0.0260461i \(0.991708\pi\)
\(332\) −7.28783 15.6288i −0.399972 0.857742i
\(333\) 13.3934 12.7963i 0.733954 0.701231i
\(334\) 0.0630467 + 0.0364000i 0.00344976 + 0.00199172i
\(335\) 26.7417 + 4.80193i 1.46106 + 0.262357i
\(336\) 3.61414 + 1.73573i 0.197168 + 0.0946916i
\(337\) 13.8651 1.21304i 0.755282 0.0660786i 0.296990 0.954881i \(-0.404017\pi\)
0.458291 + 0.888802i \(0.348462\pi\)
\(338\) −1.79751 + 20.5456i −0.0977715 + 1.11753i
\(339\) 9.42070 + 9.63795i 0.511662 + 0.523462i
\(340\) 3.15975 8.59723i 0.171361 0.466250i
\(341\) 21.4136i 1.15961i
\(342\) 11.3363 + 6.51834i 0.612996 + 0.352472i
\(343\) 14.1448 + 14.1448i 0.763750 + 0.763750i
\(344\) 10.2009 3.71282i 0.549995 0.200182i
\(345\) 8.51108 + 7.35513i 0.458221 + 0.395987i
\(346\) 9.80996 8.23153i 0.527387 0.442530i
\(347\) −1.62680 18.5944i −0.0873310 0.998198i −0.905816 0.423671i \(-0.860741\pi\)
0.818485 0.574528i \(-0.194814\pi\)
\(348\) 5.86383 2.05888i 0.314334 0.110367i
\(349\) 21.0223 12.1372i 1.12530 0.649691i 0.182549 0.983197i \(-0.441565\pi\)
0.942748 + 0.333506i \(0.108232\pi\)
\(350\) −4.02676 + 10.8509i −0.215239 + 0.580004i
\(351\) 24.0762 + 18.1159i 1.28509 + 0.966955i
\(352\) −4.68811 + 2.18610i −0.249877 + 0.116520i
\(353\) −8.12284 30.3149i −0.432335 1.61350i −0.747364 0.664415i \(-0.768681\pi\)
0.315028 0.949082i \(-0.397986\pi\)
\(354\) −0.600260 + 6.06408i −0.0319035 + 0.322302i
\(355\) 15.5599 4.11692i 0.825832 0.218504i
\(356\) 4.46777 5.32448i 0.236791 0.282197i
\(357\) −10.6994 + 12.4598i −0.566271 + 0.659442i
\(358\) −11.3698 + 7.96120i −0.600911 + 0.420763i
\(359\) −1.09951 + 0.400188i −0.0580298 + 0.0211211i −0.370872 0.928684i \(-0.620941\pi\)
0.312842 + 0.949805i \(0.398719\pi\)
\(360\) −2.45705 + 6.24203i −0.129498 + 0.328984i
\(361\) 18.8508 + 2.37652i 0.992147 + 0.125080i
\(362\) −16.7605 16.7605i −0.880914 0.880914i
\(363\) −23.7901 + 13.3760i −1.24865 + 0.702057i
\(364\) 13.2187 + 2.33081i 0.692848 + 0.122168i
\(365\) −21.6431 0.0679712i −1.13285 0.00355778i
\(366\) 2.75073 + 10.7547i 0.143783 + 0.562159i
\(367\) −19.3832 13.5723i −1.01179 0.708466i −0.0547777 0.998499i \(-0.517445\pi\)
−0.957017 + 0.290032i \(0.906334\pi\)
\(368\) 2.80547 + 0.751724i 0.146245 + 0.0391863i
\(369\) −16.7429 3.34744i −0.871602 0.174261i
\(370\) 13.3250 + 3.61532i 0.692734 + 0.187951i
\(371\) 5.58552 15.3461i 0.289986 0.796729i
\(372\) 6.70935 + 2.52897i 0.347863 + 0.131121i
\(373\) 6.77467 25.2834i 0.350779 1.30913i −0.534934 0.844894i \(-0.679664\pi\)
0.885714 0.464232i \(-0.153670\pi\)
\(374\) −3.67941 20.8670i −0.190258 1.07901i
\(375\) −18.5967 5.40033i −0.960328 0.278872i
\(376\) 0.422227 0.354290i 0.0217747 0.0182711i
\(377\) 17.0433 11.9339i 0.877777 0.614626i
\(378\) 8.04195 8.94428i 0.413633 0.460044i
\(379\) 16.8668i 0.866388i −0.901301 0.433194i \(-0.857386\pi\)
0.901301 0.433194i \(-0.142614\pi\)
\(380\) 0.208777 + 9.74456i 0.0107100 + 0.499885i
\(381\) 6.31747 8.80691i 0.323654 0.451191i
\(382\) 2.49289 5.34602i 0.127547 0.273526i
\(383\) 0.120885 + 0.172642i 0.00617695 + 0.00882160i 0.822229 0.569157i \(-0.192730\pi\)
−0.816052 + 0.577979i \(0.803842\pi\)
\(384\) 0.131281 + 1.72707i 0.00669943 + 0.0881341i
\(385\) 4.56648 + 26.3820i 0.232729 + 1.34455i
\(386\) −5.06654 + 0.893368i −0.257880 + 0.0454712i
\(387\) −2.09811 32.4990i −0.106653 1.65202i
\(388\) −7.93100 + 2.12511i −0.402636 + 0.107886i
\(389\) 6.20438 + 2.25821i 0.314574 + 0.114496i 0.494482 0.869188i \(-0.335358\pi\)
−0.179908 + 0.983683i \(0.557580\pi\)
\(390\) −2.28240 + 22.3417i −0.115574 + 1.13132i
\(391\) −5.94865 + 10.3034i −0.300836 + 0.521064i
\(392\) −0.424914 + 1.58580i −0.0214614 + 0.0800950i
\(393\) −32.1592 + 11.2916i −1.62222 + 0.569585i
\(394\) 9.12323 10.8726i 0.459622 0.547756i
\(395\) −1.35807 1.36663i −0.0683322 0.0687627i
\(396\) 2.34566 + 15.3400i 0.117874 + 0.770862i
\(397\) 10.1446 21.7551i 0.509141 1.09186i −0.468863 0.883271i \(-0.655336\pi\)
0.978004 0.208586i \(-0.0668860\pi\)
\(398\) 16.0085 16.0085i 0.802432 0.802432i
\(399\) 5.76055 16.4996i 0.288388 0.826013i
\(400\) −4.92940 + 0.837296i −0.246470 + 0.0418648i
\(401\) 10.6844 + 29.3553i 0.533556 + 1.46593i 0.854811 + 0.518940i \(0.173673\pi\)
−0.321255 + 0.946993i \(0.604105\pi\)
\(402\) 0.239877 21.0440i 0.0119640 1.04958i
\(403\) 23.9132 + 2.09213i 1.19120 + 0.104216i
\(404\) −2.35056 1.97235i −0.116945 0.0981281i
\(405\) 15.9032 + 12.3324i 0.790238 + 0.612800i
\(406\) −4.15286 7.19296i −0.206103 0.356981i
\(407\) 30.8512 8.26655i 1.52924 0.409758i
\(408\) −6.97263 1.31158i −0.345197 0.0649328i
\(409\) −2.27562 + 6.25221i −0.112522 + 0.309152i −0.983153 0.182785i \(-0.941489\pi\)
0.870631 + 0.491937i \(0.163711\pi\)
\(410\) −4.31511 11.9725i −0.213108 0.591281i
\(411\) −0.555638 + 5.61329i −0.0274076 + 0.276883i
\(412\) 5.19663 + 3.63872i 0.256019 + 0.179267i
\(413\) 8.11293 0.709789i 0.399211 0.0349265i
\(414\) 4.52754 7.44469i 0.222516 0.365886i
\(415\) −24.6929 29.6162i −1.21213 1.45380i
\(416\) 1.98325 + 5.44893i 0.0972367 + 0.267156i
\(417\) −0.147321 0.895042i −0.00721436 0.0438304i
\(418\) 11.7499 + 19.2439i 0.574708 + 0.941252i
\(419\) −23.2872 −1.13766 −0.568828 0.822457i \(-0.692603\pi\)
−0.568828 + 0.822457i \(0.692603\pi\)
\(420\) 8.80538 + 1.68498i 0.429659 + 0.0822184i
\(421\) −1.03138 + 5.84926i −0.0502665 + 0.285075i −0.999571 0.0292820i \(-0.990678\pi\)
0.949305 + 0.314357i \(0.101789\pi\)
\(422\) 1.10623 + 0.0967822i 0.0538502 + 0.00471128i
\(423\) −0.664471 1.51415i −0.0323077 0.0736205i
\(424\) 6.94786 1.22510i 0.337418 0.0594959i
\(425\) 1.91318 20.3917i 0.0928027 0.989143i
\(426\) −5.13980 11.3586i −0.249024 0.550326i
\(427\) 13.4458 6.26988i 0.650688 0.303421i
\(428\) −16.9838 + 7.91968i −0.820943 + 0.382812i
\(429\) 21.4180 + 47.3323i 1.03407 + 2.28522i
\(430\) 19.9275 13.8604i 0.960991 0.668405i
\(431\) −0.952481 + 0.167948i −0.0458794 + 0.00808978i −0.196541 0.980496i \(-0.562971\pi\)
0.150661 + 0.988585i \(0.451860\pi\)
\(432\) 5.08337 + 1.07672i 0.244574 + 0.0518039i
\(433\) −10.2384 0.895747i −0.492028 0.0430469i −0.161558 0.986863i \(-0.551652\pi\)
−0.330470 + 0.943816i \(0.607207\pi\)
\(434\) 1.66399 9.43693i 0.0798739 0.452987i
\(435\) 11.4982 7.80446i 0.551295 0.374195i
\(436\) −3.51433 −0.168306
\(437\) 1.89154 12.5181i 0.0904848 0.598820i
\(438\) 2.72280 + 16.5422i 0.130101 + 0.790417i
\(439\) 11.6084 + 31.8939i 0.554041 + 1.52222i 0.828144 + 0.560515i \(0.189397\pi\)
−0.274103 + 0.961700i \(0.588381\pi\)
\(440\) −8.88386 + 7.40702i −0.423521 + 0.353116i
\(441\) 4.20813 + 2.55920i 0.200387 + 0.121867i
\(442\) −23.6622 + 2.07018i −1.12550 + 0.0984683i
\(443\) −23.4048 16.3882i −1.11199 0.778627i −0.134779 0.990876i \(-0.543032\pi\)
−0.977216 + 0.212249i \(0.931921\pi\)
\(444\) 1.05348 10.6427i 0.0499958 0.505078i
\(445\) 6.61255 14.0652i 0.313465 0.666753i
\(446\) −7.13407 + 19.6007i −0.337808 + 0.928119i
\(447\) 6.86647 + 1.29161i 0.324773 + 0.0610911i
\(448\) 2.23592 0.599112i 0.105637 0.0283054i
\(449\) 6.97536 + 12.0817i 0.329188 + 0.570170i 0.982351 0.187047i \(-0.0598917\pi\)
−0.653163 + 0.757217i \(0.726558\pi\)
\(450\) −1.74123 + 14.8986i −0.0820823 + 0.702326i
\(451\) −22.5526 18.9239i −1.06196 0.891091i
\(452\) 7.75156 + 0.678173i 0.364603 + 0.0318986i
\(453\) −0.102688 + 9.00864i −0.00482471 + 0.423263i
\(454\) −0.847237 2.32777i −0.0397628 0.109247i
\(455\) 29.9077 2.52197i 1.40210 0.118232i
\(456\) 7.41723 1.40877i 0.347344 0.0659719i
\(457\) 19.8917 19.8917i 0.930497 0.930497i −0.0672403 0.997737i \(-0.521419\pi\)
0.997737 + 0.0672403i \(0.0214194\pi\)
\(458\) 11.9830 25.6975i 0.559927 1.20077i
\(459\) −9.64957 + 18.9717i −0.450403 + 0.885524i
\(460\) 6.49449 + 0.0203962i 0.302807 + 0.000950979i
\(461\) −2.98083 + 3.55241i −0.138831 + 0.165452i −0.830980 0.556302i \(-0.812220\pi\)
0.692149 + 0.721755i \(0.256664\pi\)
\(462\) 19.5682 6.87067i 0.910393 0.319652i
\(463\) 2.10037 7.83870i 0.0976126 0.364295i −0.899790 0.436323i \(-0.856280\pi\)
0.997403 + 0.0720280i \(0.0229471\pi\)
\(464\) 1.79405 3.10739i 0.0832868 0.144257i
\(465\) 15.9499 + 1.62942i 0.739660 + 0.0755626i
\(466\) −18.4655 6.72089i −0.855398 0.311339i
\(467\) 0.698530 0.187171i 0.0323241 0.00866122i −0.242621 0.970121i \(-0.578007\pi\)
0.274945 + 0.961460i \(0.411340\pi\)
\(468\) 17.3597 1.12073i 0.802455 0.0518058i
\(469\) −27.6986 + 4.88402i −1.27900 + 0.225523i
\(470\) 0.710083 1.00736i 0.0327537 0.0464659i
\(471\) −0.259274 3.41087i −0.0119467 0.157165i
\(472\) 2.01796 + 2.88195i 0.0928842 + 0.132652i
\(473\) 23.7313 50.8920i 1.09117 2.34002i
\(474\) −0.869879 + 1.21266i −0.0399548 + 0.0556993i
\(475\) 6.02472 + 20.9452i 0.276433 + 0.961033i
\(476\) 9.48196i 0.434605i
\(477\) 2.32480 21.0371i 0.106445 0.963221i
\(478\) 15.4763 10.8366i 0.707868 0.495655i
\(479\) −4.54804 + 3.81626i −0.207805 + 0.174369i −0.740750 0.671781i \(-0.765530\pi\)
0.532945 + 0.846150i \(0.321085\pi\)
\(480\) 1.27159 + 3.65829i 0.0580397 + 0.166977i
\(481\) −6.21730 35.2601i −0.283485 1.60772i
\(482\) −3.14525 + 11.7382i −0.143262 + 0.534661i
\(483\) −10.8965 4.10725i −0.495808 0.186886i
\(484\) −5.38934 + 14.8071i −0.244970 + 0.673049i
\(485\) −15.9289 + 9.12995i −0.723292 + 0.414570i
\(486\) 7.38201 13.7297i 0.334855 0.622794i
\(487\) 23.0809 + 6.18452i 1.04590 + 0.280247i 0.740555 0.671996i \(-0.234563\pi\)
0.305342 + 0.952243i \(0.401229\pi\)
\(488\) 5.25005 + 3.67613i 0.237659 + 0.166410i
\(489\) 5.32814 + 20.8318i 0.240947 + 0.942047i
\(490\) −0.0115290 + 3.67103i −0.000520828 + 0.165840i
\(491\) 14.1292 + 2.49136i 0.637643 + 0.112434i 0.483118 0.875555i \(-0.339504\pi\)
0.154525 + 0.987989i \(0.450615\pi\)
\(492\) −8.59276 + 4.83129i −0.387392 + 0.217811i
\(493\) 10.3929 + 10.3929i 0.468072 + 0.468072i
\(494\) 22.6382 11.2413i 1.01854 0.505771i
\(495\) 13.8443 + 31.8185i 0.622254 + 1.43014i
\(496\) 3.89003 1.41586i 0.174668 0.0635738i
\(497\) −13.6487 + 9.55691i −0.612227 + 0.428686i
\(498\) −19.4585 + 22.6601i −0.871958 + 1.01543i
\(499\) −2.50137 + 2.98101i −0.111977 + 0.133448i −0.819121 0.573620i \(-0.805538\pi\)
0.707145 + 0.707069i \(0.249983\pi\)
\(500\) −10.1769 + 4.62934i −0.455125 + 0.207030i
\(501\) 0.0124208 0.125480i 0.000554921 0.00560604i
\(502\) 2.89176 + 10.7922i 0.129065 + 0.481679i
\(503\) −25.0925 + 11.7008i −1.11882 + 0.521714i −0.891915 0.452203i \(-0.850638\pi\)
−0.226904 + 0.973917i \(0.572860\pi\)
\(504\) 0.158295 6.94257i 0.00705102 0.309247i
\(505\) −6.20925 2.91919i −0.276308 0.129902i
\(506\) 13.0111 7.51197i 0.578415 0.333948i
\(507\) 33.7048 11.8342i 1.49688 0.525577i
\(508\) −0.545384 6.23377i −0.0241975 0.276579i
\(509\) −2.86744 + 2.40606i −0.127097 + 0.106647i −0.704120 0.710081i \(-0.748659\pi\)
0.577024 + 0.816727i \(0.304214\pi\)
\(510\) −15.8228 + 1.15278i −0.700644 + 0.0510462i
\(511\) 21.0540 7.66304i 0.931375 0.338993i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 2.19129 22.5433i 0.0967477 0.995309i
\(514\) 0.658402i 0.0290409i
\(515\) 13.3146 + 4.89354i 0.586712 + 0.215635i
\(516\) −13.1429 13.4460i −0.578583 0.591926i
\(517\) 0.248490 2.84026i 0.0109286 0.124914i
\(518\) −14.2384 + 1.24570i −0.625601 + 0.0547330i
\(519\) −19.9943 9.60246i −0.877653 0.421501i
\(520\) 7.40367 + 10.6445i 0.324672 + 0.466794i
\(521\) 18.4177 + 10.6335i 0.806896 + 0.465862i 0.845877 0.533378i \(-0.179078\pi\)
−0.0389809 + 0.999240i \(0.512411\pi\)
\(522\) −7.43604 7.78304i −0.325467 0.340655i
\(523\) −10.1334 21.7311i −0.443102 0.950236i −0.993339 0.115227i \(-0.963240\pi\)
0.550237 0.835009i \(-0.314537\pi\)
\(524\) −9.83919 + 17.0420i −0.429827 + 0.744483i
\(525\) 19.9982 1.39386i 0.872791 0.0608332i
\(526\) 3.88323 + 22.0229i 0.169317 + 0.960243i
\(527\) 1.47792 + 16.8927i 0.0643791 + 0.735856i
\(528\) 6.79726 + 5.83689i 0.295813 + 0.254018i
\(529\) 14.3430 + 2.52905i 0.623607 + 0.109959i
\(530\) 14.3184 6.62210i 0.621951 0.287646i
\(531\) 9.99781 3.38288i 0.433868 0.146804i
\(532\) −3.68278 9.39383i −0.159669 0.407274i
\(533\) −23.3363 + 23.3363i −1.01081 + 1.01081i
\(534\) −11.5923 3.24822i −0.501649 0.140564i
\(535\) −32.1839 + 26.8337i −1.39143 + 1.16012i
\(536\) −7.81021 9.30785i −0.337350 0.402038i
\(537\) 20.6815 + 12.2569i 0.892474 + 0.528924i
\(538\) −10.7150 + 15.3026i −0.461958 + 0.659744i
\(539\) 4.24616 + 7.35457i 0.182895 + 0.316784i
\(540\) 11.6045 0.579903i 0.499377 0.0249551i
\(541\) 16.2609 + 5.91850i 0.699112 + 0.254456i 0.667032 0.745029i \(-0.267565\pi\)
0.0320804 + 0.999485i \(0.489787\pi\)
\(542\) 8.24679 + 17.6853i 0.354230 + 0.759649i
\(543\) −14.4804 + 38.4163i −0.621412 + 1.64860i
\(544\) −3.54746 + 2.04812i −0.152096 + 0.0878126i
\(545\) −7.59686 + 2.01002i −0.325414 + 0.0860999i
\(546\) −5.76084 22.5236i −0.246541 0.963921i
\(547\) 1.89511 21.6612i 0.0810289 0.926165i −0.841505 0.540249i \(-0.818330\pi\)
0.922534 0.385916i \(-0.126114\pi\)
\(548\) 1.86795 + 2.66771i 0.0797949 + 0.113959i
\(549\) 15.0069 12.0202i 0.640481 0.513009i
\(550\) −14.9676 + 21.0928i −0.638222 + 0.899398i
\(551\) −14.3329 6.25970i −0.610601 0.266672i
\(552\) −0.817036 4.96385i −0.0347753 0.211275i
\(553\) 1.80763 + 0.842912i 0.0768682 + 0.0358442i
\(554\) 3.47146 19.6876i 0.147488 0.836446i
\(555\) −3.80979 23.6086i −0.161717 1.00213i
\(556\) −0.401182 0.336632i −0.0170139 0.0142764i
\(557\) −4.25675 + 6.07927i −0.180364 + 0.257587i −0.899146 0.437649i \(-0.855811\pi\)
0.718782 + 0.695236i \(0.244700\pi\)
\(558\) −0.800100 12.3933i −0.0338709 0.524649i
\(559\) −54.5140 31.4737i −2.30570 1.33120i
\(560\) 4.49068 2.57392i 0.189766 0.108768i
\(561\) −30.3010 + 20.7064i −1.27931 + 0.874223i
\(562\) −1.98905 7.42325i −0.0839031 0.313131i
\(563\) 34.2401 + 9.17460i 1.44305 + 0.386663i 0.893600 0.448865i \(-0.148172\pi\)
0.549447 + 0.835528i \(0.314838\pi\)
\(564\) −0.860568 0.413296i −0.0362364 0.0174029i
\(565\) 17.1443 2.96752i 0.721266 0.124844i
\(566\) 10.1858 + 12.1390i 0.428143 + 0.510241i
\(567\) −19.8566 6.30357i −0.833898 0.264725i
\(568\) −6.52364 3.04202i −0.273726 0.127640i
\(569\) −13.2833 −0.556863 −0.278432 0.960456i \(-0.589815\pi\)
−0.278432 + 0.960456i \(0.589815\pi\)
\(570\) 15.2280 7.28762i 0.637829 0.305245i
\(571\) −16.2415 −0.679686 −0.339843 0.940482i \(-0.610374\pi\)
−0.339843 + 0.940482i \(0.610374\pi\)
\(572\) 27.1846 + 12.6764i 1.13664 + 0.530026i
\(573\) −10.2161 0.116452i −0.426786 0.00486486i
\(574\) 8.46838 + 10.0922i 0.353463 + 0.421241i
\(575\) 14.0507 3.67044i 0.585955 0.153068i
\(576\) 2.63159 1.44039i 0.109650 0.0600162i
\(577\) 8.09167 + 2.16816i 0.336861 + 0.0902616i 0.423284 0.905997i \(-0.360877\pi\)
−0.0864235 + 0.996258i \(0.527544\pi\)
\(578\) 0.0571316 + 0.213218i 0.00237636 + 0.00886870i
\(579\) 5.02754 + 7.35715i 0.208938 + 0.305753i
\(580\) 2.10090 7.74330i 0.0872350 0.321523i
\(581\) 34.5695 + 19.9587i 1.43418 + 0.828026i
\(582\) 9.01662 + 10.9978i 0.373751 + 0.455872i
\(583\) 20.9321 29.8941i 0.866919 1.23809i
\(584\) 7.41466 + 6.22164i 0.306821 + 0.257453i
\(585\) 36.8853 12.3516i 1.52502 0.510675i
\(586\) 0.451407 2.56006i 0.0186475 0.105755i
\(587\) −14.1019 6.57581i −0.582047 0.271413i 0.109214 0.994018i \(-0.465167\pi\)
−0.691261 + 0.722605i \(0.742944\pi\)
\(588\) 2.80583 0.461831i 0.115710 0.0190456i
\(589\) −8.02527 16.1616i −0.330676 0.665928i
\(590\) 6.01053 + 5.07568i 0.247449 + 0.208963i
\(591\) −23.6717 6.63289i −0.973722 0.272841i
\(592\) −3.54159 5.05791i −0.145558 0.207879i
\(593\) −4.01838 + 45.9303i −0.165015 + 1.88613i 0.238474 + 0.971149i \(0.423353\pi\)
−0.403490 + 0.914984i \(0.632203\pi\)
\(594\) 22.5317 14.6551i 0.924487 0.601305i
\(595\) 5.42322 + 20.4970i 0.222330 + 0.840295i
\(596\) 3.49345 2.01694i 0.143097 0.0826172i
\(597\) −36.6925 13.8306i −1.50172 0.566050i
\(598\) −7.11764 15.2638i −0.291062 0.624184i
\(599\) 19.3155 + 7.03025i 0.789208 + 0.287248i 0.705007 0.709201i \(-0.250944\pi\)
0.0842012 + 0.996449i \(0.473166\pi\)
\(600\) 4.84113 + 7.18077i 0.197638 + 0.293154i
\(601\) −14.2130 24.6176i −0.579759 1.00417i −0.995507 0.0946922i \(-0.969813\pi\)
0.415747 0.909480i \(-0.363520\pi\)
\(602\) −14.4130 + 20.5839i −0.587431 + 0.838939i
\(603\) −33.3789 + 14.6481i −1.35930 + 0.596515i
\(604\) 3.34345 + 3.98456i 0.136043 + 0.162130i
\(605\) −3.18111 + 35.0907i −0.129331 + 1.42664i
\(606\) −1.43397 + 5.11758i −0.0582509 + 0.207887i
\(607\) −15.9044 + 15.9044i −0.645540 + 0.645540i −0.951912 0.306372i \(-0.900885\pi\)
0.306372 + 0.951912i \(0.400885\pi\)
\(608\) 2.71899 3.40692i 0.110270 0.138169i
\(609\) −8.38521 + 11.6894i −0.339786 + 0.473680i
\(610\) 13.4515 + 4.94385i 0.544636 + 0.200171i
\(611\) −3.14752 0.554992i −0.127335 0.0224526i
\(612\) 2.90916 + 11.9394i 0.117596 + 0.482623i
\(613\) 1.41482 + 16.1715i 0.0571442 + 0.653161i 0.969715 + 0.244241i \(0.0785388\pi\)
−0.912570 + 0.408920i \(0.865906\pi\)
\(614\) 4.01664 + 22.7795i 0.162098 + 0.919306i
\(615\) −15.8116 + 15.3584i −0.637584 + 0.619309i
\(616\) 5.98692 10.3697i 0.241220 0.417805i
\(617\) 12.2446 + 26.2585i 0.492947 + 1.05713i 0.982689 + 0.185262i \(0.0593133\pi\)
−0.489742 + 0.871868i \(0.662909\pi\)
\(618\) 2.03126 10.7986i 0.0817091 0.434383i
\(619\) 1.17648 + 0.679242i 0.0472868 + 0.0273010i 0.523457 0.852052i \(-0.324642\pi\)
−0.476170 + 0.879353i \(0.657975\pi\)
\(620\) 7.59922 5.28554i 0.305192 0.212272i
\(621\) −14.9807 1.82858i −0.601156 0.0733785i
\(622\) 23.4895 2.05506i 0.941842 0.0824005i
\(623\) −1.40227 + 16.0280i −0.0561807 + 0.642148i
\(624\) 7.18233 7.02043i 0.287523 0.281042i
\(625\) −19.3515 + 15.8278i −0.774059 + 0.633114i
\(626\) 15.4200i 0.616307i
\(627\) 21.9771 32.2828i 0.877680 1.28925i
\(628\) −1.39650 1.39650i −0.0557264 0.0557264i
\(629\) 23.7672 8.65057i 0.947662 0.344921i
\(630\) −3.62863 15.0982i −0.144568 0.601525i
\(631\) −13.7029 + 11.4981i −0.545504 + 0.457732i −0.873415 0.486976i \(-0.838100\pi\)
0.327911 + 0.944709i \(0.393655\pi\)
\(632\) 0.0750962 + 0.858353i 0.00298717 + 0.0341435i
\(633\) −0.637184 1.81475i −0.0253258 0.0721297i
\(634\) 16.6752 9.62742i 0.662256 0.382354i
\(635\) −4.74436 13.1635i −0.188274 0.522378i
\(636\) −6.89438 10.0890i −0.273380 0.400056i
\(637\) 8.62791 4.02326i 0.341850 0.159407i
\(638\) −4.80378 17.9280i −0.190183 0.709774i
\(639\) −14.2539 + 16.2214i −0.563875 + 0.641707i
\(640\) 1.93297 + 1.12411i 0.0764074 + 0.0444344i
\(641\) −3.85530 + 4.59457i −0.152275 + 0.181474i −0.836789 0.547525i \(-0.815570\pi\)
0.684514 + 0.729000i \(0.260014\pi\)
\(642\) 24.6247 + 21.1456i 0.971861 + 0.834549i
\(643\) 11.0636 7.74680i 0.436305 0.305504i −0.334710 0.942321i \(-0.608638\pi\)
0.771015 + 0.636817i \(0.219749\pi\)
\(644\) −6.31771 + 2.29946i −0.248953 + 0.0906114i
\(645\) −36.1012 21.5488i −1.42148 0.848485i
\(646\) 10.5974 + 14.3701i 0.416950 + 0.565385i
\(647\) −19.3902 19.3902i −0.762307 0.762307i 0.214432 0.976739i \(-0.431210\pi\)
−0.976739 + 0.214432i \(0.931210\pi\)
\(648\) −1.93073 8.79047i −0.0758462 0.345322i
\(649\) 17.9223 + 3.16019i 0.703514 + 0.124048i
\(650\) 22.0925 + 18.7756i 0.866541 + 0.736438i
\(651\) −16.0798 + 4.11271i −0.630216 + 0.161190i
\(652\) 10.1693 + 7.12062i 0.398260 + 0.278865i
\(653\) −42.9006 11.4952i −1.67883 0.449841i −0.711360 0.702828i \(-0.751920\pi\)
−0.967470 + 0.252987i \(0.918587\pi\)
\(654\) 2.50943 + 5.54565i 0.0981264 + 0.216852i
\(655\) −11.5220 + 42.4669i −0.450203 + 1.65932i
\(656\) −1.94658 + 5.34819i −0.0760012 + 0.208812i
\(657\) 24.1596 16.1087i 0.942555 0.628459i
\(658\) −0.330217 + 1.23239i −0.0128732 + 0.0480435i
\(659\) −2.31019 13.1017i −0.0899922 0.510371i −0.996167 0.0874685i \(-0.972122\pi\)
0.906175 0.422903i \(-0.138989\pi\)
\(660\) 18.0319 + 8.72981i 0.701893 + 0.339807i
\(661\) 20.0681 16.8391i 0.780557 0.654965i −0.162832 0.986654i \(-0.552063\pi\)
0.943389 + 0.331688i \(0.107618\pi\)
\(662\) 15.5704 10.9025i 0.605162 0.423739i
\(663\) 20.1629 + 35.8611i 0.783064 + 1.39273i
\(664\) 17.2445i 0.669216i
\(665\) −13.3338 18.2001i −0.517063 0.705770i
\(666\) −17.5465 + 5.93706i −0.679912 + 0.230056i
\(667\) −4.40429 + 9.44503i −0.170535 + 0.365713i
\(668\) −0.0417564 0.0596343i −0.00161560 0.00230732i
\(669\) 36.0243 2.73835i 1.39278 0.105871i
\(670\) −22.2068 15.6536i −0.857925 0.604750i
\(671\) 32.6492 5.75693i 1.26041 0.222244i
\(672\) −2.54198 3.10050i −0.0980589 0.119605i
\(673\) −21.8690 + 5.85979i −0.842989 + 0.225878i −0.654372 0.756172i \(-0.727067\pi\)
−0.188617 + 0.982051i \(0.560400\pi\)
\(674\) −13.0787 4.76027i −0.503774 0.183359i
\(675\) 24.7535 7.89075i 0.952763 0.303715i
\(676\) 10.3120 17.8610i 0.396617 0.686961i
\(677\) 6.19280 23.1118i 0.238009 0.888260i −0.738761 0.673968i \(-0.764589\pi\)
0.976770 0.214292i \(-0.0687446\pi\)
\(678\) −4.46488 12.7163i −0.171473 0.488367i
\(679\) 12.2170 14.5596i 0.468844 0.558747i
\(680\) −6.49705 + 6.45637i −0.249150 + 0.247590i
\(681\) −3.06827 + 2.99911i −0.117576 + 0.114926i
\(682\) 9.04977 19.4073i 0.346534 0.743144i
\(683\) 5.43172 5.43172i 0.207839 0.207839i −0.595509 0.803348i \(-0.703050\pi\)
0.803348 + 0.595509i \(0.203050\pi\)
\(684\) −7.51939 10.6985i −0.287511 0.409069i
\(685\) 5.56371 + 4.69836i 0.212579 + 0.179515i
\(686\) −6.84171 18.7974i −0.261218 0.717690i
\(687\) −49.1076 0.559769i −1.87357 0.0213565i
\(688\) −10.8143 0.946125i −0.412290 0.0360707i
\(689\) −31.3386 26.2962i −1.19390 1.00180i
\(690\) −4.60525 10.2630i −0.175319 0.390704i
\(691\) 17.6543 + 30.5781i 0.671600 + 1.16325i 0.977450 + 0.211166i \(0.0677260\pi\)
−0.305850 + 0.952080i \(0.598941\pi\)
\(692\) −12.3696 + 3.31443i −0.470223 + 0.125996i
\(693\) −24.8148 25.9728i −0.942635 0.986623i
\(694\) −6.38394 + 17.5397i −0.242331 + 0.665800i
\(695\) −1.05977 0.498234i −0.0401992 0.0188991i
\(696\) −6.18455 0.612186i −0.234425 0.0232048i
\(697\) −19.0973 13.3721i −0.723362 0.506503i
\(698\) −24.1821 + 2.11566i −0.915305 + 0.0800788i
\(699\) 2.57976 + 33.9379i 0.0975753 + 1.28365i
\(700\) 8.23527 8.13246i 0.311264 0.307378i
\(701\) −5.16687 14.1958i −0.195150 0.536170i 0.803065 0.595891i \(-0.203201\pi\)
−0.998215 + 0.0597213i \(0.980979\pi\)
\(702\) −14.1644 26.5936i −0.534600 1.00371i
\(703\) −20.1865 + 17.8013i −0.761347 + 0.671390i
\(704\) 5.17275 0.194955
\(705\) −2.09666 0.401211i −0.0789648 0.0151105i
\(706\) −5.44982 + 30.9075i −0.205107 + 1.16322i
\(707\) 7.07576 + 0.619048i 0.266111 + 0.0232817i
\(708\) 3.10681 5.24224i 0.116761 0.197016i
\(709\) 0.729072 0.128555i 0.0273809 0.00482798i −0.159941 0.987127i \(-0.551130\pi\)
0.187322 + 0.982299i \(0.440019\pi\)
\(710\) −15.8419 2.84469i −0.594537 0.106759i
\(711\) 2.53473 + 0.506773i 0.0950599 + 0.0190055i
\(712\) −6.29939 + 2.93746i −0.236080 + 0.110086i
\(713\) −10.8970 + 5.08134i −0.408095 + 0.190298i
\(714\) 14.9627 6.77066i 0.559963 0.253385i
\(715\) 66.0147 + 11.8541i 2.46881 + 0.443317i
\(716\) 13.6691 2.41022i 0.510837 0.0900743i
\(717\) −28.1512 16.6838i −1.05133 0.623068i
\(718\) 1.16562 + 0.101978i 0.0435005 + 0.00380580i
\(719\) 0.826424 4.68688i 0.0308204 0.174791i −0.965512 0.260359i \(-0.916159\pi\)
0.996332 + 0.0855674i \(0.0272703\pi\)
\(720\) 4.86484 4.61880i 0.181302 0.172133i
\(721\) −14.6848 −0.546891
\(722\) −16.0803 10.1205i −0.598445 0.376648i
\(723\) 20.7689 3.41851i 0.772405 0.127136i
\(724\) 8.10689 + 22.2735i 0.301290 + 0.827788i
\(725\) 0.112685 17.9402i 0.00418501 0.666281i
\(726\) 27.2141 2.06865i 1.01001 0.0767748i
\(727\) 41.6206 3.64133i 1.54362 0.135049i 0.716706 0.697376i \(-0.245649\pi\)
0.826915 + 0.562326i \(0.190094\pi\)
\(728\) −10.9952 7.69890i −0.407508 0.285340i
\(729\) −26.9369 1.84509i −0.997662 0.0683368i
\(730\) 19.5866 + 9.20839i 0.724933 + 0.340818i
\(731\) 15.2086 41.7854i 0.562512 1.54549i
\(732\) 2.05214 10.9096i 0.0758493 0.403231i
\(733\) −27.8366 + 7.45878i −1.02817 + 0.275496i −0.733201 0.680011i \(-0.761975\pi\)
−0.294965 + 0.955508i \(0.595308\pi\)
\(734\) 11.8313 + 20.4923i 0.436700 + 0.756386i
\(735\) 5.80116 2.60313i 0.213979 0.0960178i
\(736\) −2.22493 1.86694i −0.0820120 0.0688162i
\(737\) −62.6125 5.47789i −2.30636 0.201781i
\(738\) 13.7596 + 10.1097i 0.506496 + 0.372142i
\(739\) −11.4877 31.5622i −0.422582 1.16103i −0.950224 0.311567i \(-0.899146\pi\)
0.527642 0.849467i \(-0.323076\pi\)
\(740\) −10.5487 8.90798i −0.387777 0.327464i
\(741\) −33.9039 27.6965i −1.24549 1.01746i
\(742\) −11.5477 + 11.5477i −0.423930 + 0.423930i
\(743\) −2.56767 + 5.50639i −0.0941987 + 0.202010i −0.947761 0.318981i \(-0.896659\pi\)
0.853563 + 0.520990i \(0.174437\pi\)
\(744\) −5.01194 5.12752i −0.183747 0.187984i
\(745\) 6.39813 6.35807i 0.234409 0.232942i
\(746\) −16.8252 + 20.0515i −0.616013 + 0.734136i
\(747\) 49.6525 + 14.5252i 1.81669 + 0.531449i
\(748\) −5.48409 + 20.4669i −0.200518 + 0.748344i
\(749\) 21.6891 37.5666i 0.792502 1.37265i
\(750\) 14.5720 + 12.7537i 0.532095 + 0.465698i
\(751\) −14.0849 5.12648i −0.513965 0.187068i 0.0719996 0.997405i \(-0.477062\pi\)
−0.585964 + 0.810337i \(0.699284\pi\)
\(752\) −0.532397 + 0.142655i −0.0194145 + 0.00520210i
\(753\) 14.9653 12.2695i 0.545366 0.447124i
\(754\) −20.4900 + 3.61294i −0.746202 + 0.131575i
\(755\) 9.50645 + 6.70108i 0.345975 + 0.243877i
\(756\) −11.0685 + 4.70759i −0.402557 + 0.171214i
\(757\) −6.62087 9.45559i −0.240640 0.343669i 0.680606 0.732649i \(-0.261716\pi\)
−0.921246 + 0.388980i \(0.872828\pi\)
\(758\) −7.12821 + 15.2865i −0.258908 + 0.555230i
\(759\) −21.1447 15.1677i −0.767503 0.550554i
\(760\) 3.92901 8.91980i 0.142520 0.323555i
\(761\) 46.5945i 1.68905i −0.535518 0.844524i \(-0.679884\pi\)
0.535518 0.844524i \(-0.320116\pi\)
\(762\) −9.44754 + 5.31189i −0.342248 + 0.192429i
\(763\) 6.66375 4.66601i 0.241244 0.168921i
\(764\) −4.51865 + 3.79160i −0.163479 + 0.137175i
\(765\) 13.1175 + 24.1454i 0.474263 + 0.872978i
\(766\) −0.0365976 0.207555i −0.00132233 0.00749928i
\(767\) 5.28011 19.7056i 0.190654 0.711530i
\(768\) 0.610909 1.62074i 0.0220443 0.0584833i
\(769\) 0.628159 1.72585i 0.0226520 0.0622359i −0.927851 0.372950i \(-0.878346\pi\)
0.950503 + 0.310715i \(0.100568\pi\)
\(770\) 7.01089 25.8401i 0.252655 0.931213i
\(771\) −1.03897 + 0.470136i −0.0374175 + 0.0169315i
\(772\) 4.96940 + 1.33155i 0.178853 + 0.0479234i
\(773\) −34.4741 24.1390i −1.23995 0.868221i −0.245090 0.969500