Properties

Label 570.2.bi.a.347.9
Level $570$
Weight $2$
Character 570.347
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 347.9
Character \(\chi\) \(=\) 570.347
Dual form 570.2.bi.a.23.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +O(q^{10})\) \(q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +(-2.09880 + 0.771375i) q^{10} +(4.47974 + 2.58638i) q^{11} +(1.62074 - 0.610909i) q^{12} +(4.74996 + 3.32596i) q^{13} +(1.77323 + 1.48792i) q^{14} +(-3.48595 + 1.68765i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-1.73115 + 3.71246i) q^{17} +(2.68932 - 1.32950i) q^{18} +(-4.35033 - 0.273142i) q^{19} +(0.187889 - 2.22816i) q^{20} +(3.31025 + 2.26208i) q^{21} +(-4.23727 + 2.96697i) q^{22} +(2.89339 + 0.253139i) q^{23} +(-0.131281 + 1.72707i) q^{24} +(0.0314051 + 4.99990i) q^{25} +(-5.02176 + 2.89931i) q^{26} +(4.40855 - 2.75041i) q^{27} +(-2.09791 + 0.978273i) q^{28} +(-3.37172 - 1.22720i) q^{29} +(-0.0563069 - 3.87257i) q^{30} +(-2.06984 - 3.58508i) q^{31} +(-0.819152 - 0.573576i) q^{32} +(-6.79726 + 5.83689i) q^{33} +(-2.63302 - 3.13791i) q^{34} +(4.47442 - 2.60208i) q^{35} +(0.0683842 + 2.99922i) q^{36} +(-4.36608 - 4.36608i) q^{37} +(2.08608 - 3.82731i) q^{38} +(-8.16097 + 5.85413i) q^{39} +(1.93999 + 1.11195i) q^{40} +(-5.60496 - 0.988305i) q^{41} +(-3.44911 + 2.04411i) q^{42} +(10.8143 - 0.946125i) q^{43} +(-0.898239 - 5.09417i) q^{44} +(-0.757773 - 6.66527i) q^{45} +(-1.45222 + 2.51532i) q^{46} +(0.499537 - 0.232938i) q^{47} +(-1.50977 - 0.848872i) q^{48} +(1.42179 + 0.820871i) q^{49} +(-4.54472 - 2.08459i) q^{50} +(-5.07372 - 4.95935i) q^{51} +(-0.505384 - 5.77656i) q^{52} +(-7.02820 - 0.614888i) q^{53} +(0.629582 + 5.15787i) q^{54} +(3.02874 + 11.1630i) q^{55} -2.31479i q^{56} +(2.94263 - 6.95276i) q^{57} +(2.53717 - 2.53717i) q^{58} +(-3.30604 + 1.20330i) q^{59} +(3.53354 + 1.58559i) q^{60} +(-4.90968 + 4.11971i) q^{61} +(4.12394 - 0.360798i) q^{62} +(-5.59623 + 4.11176i) q^{63} +(0.866025 - 0.500000i) q^{64} +(2.29164 + 12.7620i) q^{65} +(-2.41737 - 8.62719i) q^{66} +(5.13504 + 11.0121i) q^{67} +(3.95667 - 1.06019i) q^{68} +(-2.07393 + 4.58324i) q^{69} +(0.467312 + 5.15489i) q^{70} +(-4.62681 + 5.51402i) q^{71} +(-2.74712 - 1.20555i) q^{72} +(5.55173 + 7.92870i) 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} +(-1.85666 - 9.87041i) q^{78} +(0.848542 + 0.149621i) q^{79} +(-1.82764 + 1.28830i) q^{80} +(1.96518 + 8.78283i) q^{81} +(3.26447 - 4.66214i) q^{82} +(4.46320 - 16.6569i) q^{83} +(-0.394939 - 3.98984i) q^{84} +(-8.59723 + 3.15975i) q^{85} +(-3.71282 + 10.2009i) q^{86} +(3.94026 - 4.80602i) q^{87} +(4.99650 + 1.33881i) q^{88} +(-1.20696 - 6.84502i) q^{89} +(6.36103 + 2.13009i) q^{90} +(10.2823 - 8.62789i) q^{91} +(-1.66592 - 2.37918i) q^{92} +(7.04657 - 1.32549i) q^{93} +0.551178i q^{94} +(-6.46953 - 7.29007i) q^{95} +(1.40740 - 1.00957i) q^{96} +(-7.44149 - 3.47002i) q^{97} +(-1.34484 + 0.941664i) q^{98} +(-5.63858 - 14.4576i) 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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.422618 + 0.906308i −0.298836 + 0.640856i
\(3\) −0.573806 + 1.63424i −0.331287 + 0.943530i
\(4\) −0.642788 0.766044i −0.321394 0.383022i
\(5\) 1.58610 + 1.57617i 0.709324 + 0.704883i
\(6\) −1.23863 1.21071i −0.505667 0.494268i
\(7\) 0.599112 2.23592i 0.226443 0.845097i −0.755378 0.655289i \(-0.772547\pi\)
0.981821 0.189808i \(-0.0607865\pi\)
\(8\) 0.965926 0.258819i 0.341506 0.0915064i
\(9\) −2.34149 1.87548i −0.780498 0.625159i
\(10\) −2.09880 + 0.771375i −0.663700 + 0.243930i
\(11\) 4.47974 + 2.58638i 1.35069 + 0.779822i 0.988346 0.152222i \(-0.0486430\pi\)
0.362345 + 0.932044i \(0.381976\pi\)
\(12\) 1.62074 0.610909i 0.467867 0.176354i
\(13\) 4.74996 + 3.32596i 1.31740 + 0.922454i 0.999669 0.0257261i \(-0.00818976\pi\)
0.317732 + 0.948180i \(0.397079\pi\)
\(14\) 1.77323 + 1.48792i 0.473916 + 0.397663i
\(15\) −3.48595 + 1.68765i −0.900068 + 0.435750i
\(16\) −0.173648 + 0.984808i −0.0434120 + 0.246202i
\(17\) −1.73115 + 3.71246i −0.419866 + 0.900405i 0.576650 + 0.816992i \(0.304360\pi\)
−0.996515 + 0.0834129i \(0.973418\pi\)
\(18\) 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
\(21\) 3.31025 + 2.26208i 0.722357 + 0.493626i
\(22\) −4.23727 + 2.96697i −0.903389 + 0.632560i
\(23\) 2.89339 + 0.253139i 0.603313 + 0.0527830i 0.384720 0.923033i \(-0.374298\pi\)
0.218593 + 0.975816i \(0.429853\pi\)
\(24\) −0.131281 + 1.72707i −0.0267977 + 0.352536i
\(25\) 0.0314051 + 4.99990i 0.00628103 + 0.999980i
\(26\) −5.02176 + 2.89931i −0.984848 + 0.568602i
\(27\) 4.40855 2.75041i 0.848425 0.529316i
\(28\) −2.09791 + 0.978273i −0.396468 + 0.184876i
\(29\) −3.37172 1.22720i −0.626112 0.227886i 0.00942624 0.999956i \(-0.496999\pi\)
−0.635538 + 0.772069i \(0.719222\pi\)
\(30\) −0.0563069 3.87257i −0.0102802 0.707032i
\(31\) −2.06984 3.58508i −0.371755 0.643899i 0.618081 0.786115i \(-0.287911\pi\)
−0.989836 + 0.142216i \(0.954577\pi\)
\(32\) −0.819152 0.573576i −0.144807 0.101395i
\(33\) −6.79726 + 5.83689i −1.18325 + 1.01607i
\(34\) −2.63302 3.13791i −0.451559 0.538147i
\(35\) 4.47442 2.60208i 0.756316 0.439832i
\(36\) 0.0683842 + 2.99922i 0.0113974 + 0.499870i
\(37\) −4.36608 4.36608i −0.717779 0.717779i 0.250371 0.968150i \(-0.419447\pi\)
−0.968150 + 0.250371i \(0.919447\pi\)
\(38\) 2.08608 3.82731i 0.338407 0.620871i
\(39\) −8.16097 + 5.85413i −1.30680 + 0.937410i
\(40\) 1.93999 + 1.11195i 0.306740 + 0.175814i
\(41\) −5.60496 0.988305i −0.875347 0.154347i −0.282117 0.959380i \(-0.591037\pi\)
−0.593230 + 0.805033i \(0.702148\pi\)
\(42\) −3.44911 + 2.04411i −0.532210 + 0.315414i
\(43\) 10.8143 0.946125i 1.64916 0.144283i 0.775674 0.631134i \(-0.217410\pi\)
0.873485 + 0.486852i \(0.161855\pi\)
\(44\) −0.898239 5.09417i −0.135415 0.767975i
\(45\) −0.757773 6.66527i −0.112962 0.993599i
\(46\) −1.45222 + 2.51532i −0.214118 + 0.370863i
\(47\) 0.499537 0.232938i 0.0728649 0.0339775i −0.385844 0.922564i \(-0.626090\pi\)
0.458709 + 0.888586i \(0.348312\pi\)
\(48\) −1.50977 0.848872i −0.217917 0.122524i
\(49\) 1.42179 + 0.820871i 0.203113 + 0.117267i
\(50\) −4.54472 2.08459i −0.642721 0.294805i
\(51\) −5.07372 4.95935i −0.710463 0.694448i
\(52\) −0.505384 5.77656i −0.0700841 0.801065i
\(53\) −7.02820 0.614888i −0.965397 0.0844613i −0.406458 0.913670i \(-0.633236\pi\)
−0.558940 + 0.829208i \(0.688792\pi\)
\(54\) 0.629582 + 5.15787i 0.0856752 + 0.701897i
\(55\) 3.02874 + 11.1630i 0.408395 + 1.50522i
\(56\) 2.31479i 0.309327i
\(57\) 2.94263 6.95276i 0.389761 0.920916i
\(58\) 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 \(0.462440\pi\)
\(60\) 3.53354 + 1.58559i 0.456178 + 0.204699i
\(61\) −4.90968 + 4.11971i −0.628620 + 0.527475i −0.900500 0.434856i \(-0.856799\pi\)
0.271880 + 0.962331i \(0.412355\pi\)
\(62\) 4.12394 0.360798i 0.523740 0.0458213i
\(63\) −5.59623 + 4.11176i −0.705058 + 0.518033i
\(64\) 0.866025 0.500000i 0.108253 0.0625000i
\(65\) 2.29164 + 12.7620i 0.284242 + 1.58293i
\(66\) −2.41737 8.62719i −0.297558 1.06193i
\(67\) 5.13504 + 11.0121i 0.627345 + 1.34534i 0.921048 + 0.389448i \(0.127334\pi\)
−0.293704 + 0.955897i \(0.594888\pi\)
\(68\) 3.95667 1.06019i 0.479817 0.128567i
\(69\) −2.07393 + 4.58324i −0.249672 + 0.551757i
\(70\) 0.467312 + 5.15489i 0.0558545 + 0.616127i
\(71\) −4.62681 + 5.51402i −0.549101 + 0.654393i −0.967202 0.254007i \(-0.918251\pi\)
0.418101 + 0.908401i \(0.362696\pi\)
\(72\) −2.74712 1.20555i −0.323751 0.142075i
\(73\) 5.55173 + 7.92870i 0.649781 + 0.927984i 0.999962 0.00869809i \(-0.00276872\pi\)
−0.350181 + 0.936682i \(0.613880\pi\)
\(74\) 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
\(78\) −1.85666 9.87041i −0.210226 1.11760i
\(79\) 0.848542 + 0.149621i 0.0954684 + 0.0168337i 0.221178 0.975233i \(-0.429010\pi\)
−0.125710 + 0.992067i \(0.540121\pi\)
\(80\) −1.82764 + 1.28830i −0.204337 + 0.144037i
\(81\) 1.96518 + 8.78283i 0.218353 + 0.975870i
\(82\) 3.26447 4.66214i 0.360500 0.514847i
\(83\) 4.46320 16.6569i 0.489900 1.82833i −0.0670023 0.997753i \(-0.521343\pi\)
0.556902 0.830578i \(-0.311990\pi\)
\(84\) −0.394939 3.98984i −0.0430914 0.435327i
\(85\) −8.59723 + 3.15975i −0.932500 + 0.342723i
\(86\) −3.71282 + 10.2009i −0.400364 + 1.09999i
\(87\) 3.94026 4.80602i 0.422440 0.515260i
\(88\) 4.99650 + 1.33881i 0.532628 + 0.142717i
\(89\) −1.20696 6.84502i −0.127938 0.725570i −0.979520 0.201349i \(-0.935468\pi\)
0.851582 0.524221i \(-0.175644\pi\)
\(90\) 6.36103 + 2.13009i 0.670512 + 0.224531i
\(91\) 10.2823 8.62789i 1.07788 0.904449i
\(92\) −1.66592 2.37918i −0.173684 0.248046i
\(93\) 7.04657 1.32549i 0.730695 0.137447i
\(94\) 0.551178i 0.0568496i
\(95\) −6.46953 7.29007i −0.663760 0.747946i
\(96\) 1.40740 1.00957i 0.143642 0.103039i
\(97\) −7.44149 3.47002i −0.755569 0.352328i 0.00636721 0.999980i \(-0.497973\pi\)
−0.761936 + 0.647652i \(0.775751\pi\)
\(98\) −1.34484 + 0.941664i −0.135849 + 0.0951225i
\(99\) −5.63858 14.4576i −0.566699 1.45305i
\(100\) 3.80996 3.23793i 0.380996 0.323793i
\(101\) 3.02182 0.532828i 0.300682 0.0530184i −0.0212718 0.999774i \(-0.506772\pi\)
0.321954 + 0.946755i \(0.395660\pi\)
\(102\) 6.63895 2.50244i 0.657354 0.247778i
\(103\) −1.64192 6.12774i −0.161784 0.603785i −0.998429 0.0560391i \(-0.982153\pi\)
0.836645 0.547746i \(-0.184514\pi\)
\(104\) 5.44893 + 1.98325i 0.534311 + 0.194473i
\(105\) 1.68498 + 8.80538i 0.164437 + 0.859317i
\(106\) 3.52752 6.10985i 0.342623 0.593441i
\(107\) 18.1010 + 4.85015i 1.74989 + 0.468882i 0.984603 0.174806i \(-0.0559297\pi\)
0.765288 + 0.643688i \(0.222596\pi\)
\(108\) −4.94069 1.60922i −0.475418 0.154847i
\(109\) 2.25897 2.69213i 0.216370 0.257859i −0.646932 0.762548i \(-0.723948\pi\)
0.863302 + 0.504688i \(0.168393\pi\)
\(110\) −11.3972 1.97274i −1.08668 0.188093i
\(111\) 9.64051 4.62995i 0.915037 0.439455i
\(112\) 2.09791 + 0.978273i 0.198234 + 0.0924381i
\(113\) 5.50212 + 5.50212i 0.517596 + 0.517596i 0.916843 0.399248i \(-0.130729\pi\)
−0.399248 + 0.916843i \(0.630729\pi\)
\(114\) 5.05774 + 5.60529i 0.473700 + 0.524984i
\(115\) 4.19020 + 4.96196i 0.390738 + 0.462705i
\(116\) 1.22720 + 3.37172i 0.113943 + 0.313056i
\(117\) −4.88424 16.6961i −0.451548 1.54356i
\(118\) 0.306632 3.50482i 0.0282278 0.322645i
\(119\) 7.26360 + 6.09489i 0.665854 + 0.558717i
\(120\) −2.93037 + 2.53238i −0.267505 + 0.231173i
\(121\) 7.87869 + 13.6463i 0.716244 + 1.24057i
\(122\) −1.65881 6.19075i −0.150181 0.560484i
\(123\) 4.83129 8.59276i 0.435623 0.774783i
\(124\) −1.41586 + 3.89003i −0.127148 + 0.349335i
\(125\) −7.83086 + 7.97983i −0.700413 + 0.713737i
\(126\) −1.36145 6.80961i −0.121288 0.606648i
\(127\) 3.58920 5.12591i 0.318490 0.454851i −0.627703 0.778453i \(-0.716005\pi\)
0.946193 + 0.323602i \(0.104894\pi\)
\(128\) 0.0871557 + 0.996195i 0.00770355 + 0.0880520i
\(129\) −4.65909 + 18.2160i −0.410210 + 1.60383i
\(130\) −12.5348 3.31653i −1.09937 0.290879i
\(131\) −6.73041 18.4916i −0.588038 1.61562i −0.774086 0.633081i \(-0.781790\pi\)
0.186047 0.982541i \(-0.440432\pi\)
\(132\) 8.84052 + 1.45513i 0.769468 + 0.126652i
\(133\) −3.21706 + 9.56334i −0.278954 + 0.829247i
\(134\) −12.1505 −1.04965
\(135\) 11.3275 + 2.58619i 0.974914 + 0.222584i
\(136\) −0.711306 + 4.03402i −0.0609940 + 0.345914i
\(137\) 0.283838 3.24428i 0.0242499 0.277177i −0.974383 0.224897i \(-0.927795\pi\)
0.998632 0.0522805i \(-0.0166490\pi\)
\(138\) −3.27735 3.81658i −0.278986 0.324889i
\(139\) 0.515750 0.0909406i 0.0437453 0.00771348i −0.151733 0.988422i \(-0.548485\pi\)
0.195478 + 0.980708i \(0.437374\pi\)
\(140\) −4.86941 1.75502i −0.411541 0.148327i
\(141\) 0.0940394 + 0.950025i 0.00791954 + 0.0800065i
\(142\) −3.04202 6.52364i −0.255281 0.547452i
\(143\) 12.6764 + 27.1846i 1.06005 + 2.27329i
\(144\) 2.25358 1.98025i 0.187798 0.165021i
\(145\) −3.41359 7.26085i −0.283483 0.602980i
\(146\) −9.53211 + 1.68077i −0.788883 + 0.139101i
\(147\) −2.15733 + 1.85253i −0.177934 + 0.152794i
\(148\) −0.538149 + 6.15107i −0.0442356 + 0.505615i
\(149\) 0.700477 3.97260i 0.0573853 0.325448i −0.942578 0.333985i \(-0.891606\pi\)
0.999964 + 0.00853717i \(0.00271750\pi\)
\(150\) 6.01451 6.23103i 0.491083 0.508761i
\(151\) 5.20148 0.423290 0.211645 0.977347i \(-0.432118\pi\)
0.211645 + 0.977347i \(0.432118\pi\)
\(152\) −4.27279 + 0.862114i −0.346569 + 0.0699267i
\(153\) 11.0161 5.44597i 0.890600 0.440281i
\(154\) 4.09530 + 11.2517i 0.330008 + 0.906690i
\(155\) 2.36770 8.94869i 0.190178 0.718776i
\(156\) 9.73029 + 2.48871i 0.779047 + 0.199256i
\(157\) −0.172128 1.96743i −0.0137373 0.157018i 0.986228 0.165394i \(-0.0528895\pi\)
−0.999965 + 0.00837553i \(0.997334\pi\)
\(158\) −0.494212 + 0.705808i −0.0393174 + 0.0561510i
\(159\) 5.03770 11.1329i 0.399516 0.882900i
\(160\) −0.395203 2.20087i −0.0312435 0.173994i
\(161\) 2.29946 6.31771i 0.181223 0.497906i
\(162\) −8.79047 1.93073i −0.690644 0.151692i
\(163\) −3.21309 11.9914i −0.251669 0.939240i −0.969914 0.243449i \(-0.921721\pi\)
0.718245 0.695790i \(-0.244946\pi\)
\(164\) 2.84571 + 4.92892i 0.222213 + 0.384884i
\(165\) −19.9810 1.45574i −1.55552 0.113329i
\(166\) 13.2100 + 11.0845i 1.02530 + 0.860327i
\(167\) −0.00634494 + 0.0725230i −0.000490986 + 0.00561200i −0.996436 0.0843494i \(-0.973119\pi\)
0.995945 + 0.0899614i \(0.0286744\pi\)
\(168\) 3.78293 + 1.32824i 0.291859 + 0.102476i
\(169\) 7.05385 + 19.3803i 0.542604 + 1.49079i
\(170\) 0.769642 9.12710i 0.0590289 0.700017i
\(171\) 9.67400 + 8.79851i 0.739789 + 0.672839i
\(172\) −7.67604 7.67604i −0.585293 0.585293i
\(173\) −11.6062 5.41205i −0.882401 0.411470i −0.0720401 0.997402i \(-0.522951\pi\)
−0.810361 + 0.585932i \(0.800729\pi\)
\(174\) 2.69051 + 5.60220i 0.203967 + 0.424702i
\(175\) 11.1982 + 2.92528i 0.846503 + 0.221131i
\(176\) −3.32498 + 3.96256i −0.250630 + 0.298689i
\(177\) −0.0694568 6.09332i −0.00522069 0.458002i
\(178\) 6.71378 + 1.79895i 0.503219 + 0.134837i
\(179\) 6.93997 12.0204i 0.518717 0.898445i −0.481046 0.876695i \(-0.659743\pi\)
0.999763 0.0217495i \(-0.00692364\pi\)
\(180\) −4.61880 + 4.86484i −0.344265 + 0.362604i
\(181\) 22.2735 + 8.10689i 1.65558 + 0.602580i 0.989658 0.143445i \(-0.0458179\pi\)
0.665918 + 0.746025i \(0.268040\pi\)
\(182\) 3.47403 + 12.9652i 0.257512 + 0.961048i
\(183\) −3.91540 10.3875i −0.289435 0.767868i
\(184\) 2.86031 0.504351i 0.210865 0.0371812i
\(185\) −0.0433605 13.8067i −0.00318793 1.01509i
\(186\) −1.77671 + 6.94654i −0.130275 + 0.509345i
\(187\) −17.3569 + 12.1534i −1.26926 + 0.888748i
\(188\) −0.499537 0.232938i −0.0364324 0.0169887i
\(189\) −3.50846 11.5049i −0.255203 0.836861i
\(190\) 9.34119 2.78247i 0.677681 0.201861i
\(191\) 5.89868i 0.426813i −0.976963 0.213407i \(-0.931544\pi\)
0.976963 0.213407i \(-0.0684560\pi\)
\(192\) 0.320190 + 1.70220i 0.0231077 + 0.122846i
\(193\) −2.95088 4.21429i −0.212409 0.303351i 0.698783 0.715334i \(-0.253725\pi\)
−0.911192 + 0.411982i \(0.864836\pi\)
\(194\) 6.28982 5.27779i 0.451583 0.378923i
\(195\) −22.1712 3.57783i −1.58771 0.256214i
\(196\) −0.285085 1.61680i −0.0203632 0.115486i
\(197\) 13.7096 + 3.67348i 0.976769 + 0.261724i 0.711683 0.702500i \(-0.247933\pi\)
0.265086 + 0.964225i \(0.414600\pi\)
\(198\) 15.4860 + 0.999766i 1.10054 + 0.0710502i
\(199\) 7.74313 21.2741i 0.548896 1.50808i −0.286307 0.958138i \(-0.592428\pi\)
0.835203 0.549941i \(-0.185350\pi\)
\(200\) 1.32440 + 4.82141i 0.0936496 + 0.340925i
\(201\) −20.9430 + 2.07307i −1.47720 + 0.146223i
\(202\) −0.794169 + 2.96388i −0.0558775 + 0.208538i
\(203\) −4.76396 + 6.80364i −0.334365 + 0.477522i
\(204\) −0.537761 + 7.07450i −0.0376508 + 0.495314i
\(205\) −7.33227 10.4019i −0.512108 0.726499i
\(206\) 6.24753 + 1.10161i 0.435286 + 0.0767527i
\(207\) −6.30009 6.01920i −0.437887 0.418363i
\(208\) −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 \(0.401059\pi\)
\(212\) 4.04661 + 5.77915i 0.277922 + 0.396914i
\(213\) −6.35634 10.7253i −0.435530 0.734886i
\(214\) −12.0456 + 14.3553i −0.823417 + 0.981310i
\(215\) 18.6437 + 15.5444i 1.27149 + 1.06012i
\(216\) 3.54647 3.79770i 0.241307 0.258401i
\(217\) −9.25600 + 2.48014i −0.628338 + 0.168363i
\(218\) 1.48522 + 3.18506i 0.100592 + 0.215720i
\(219\) −16.1430 + 4.52334i −1.09085 + 0.305659i
\(220\) 6.60456 9.49561i 0.445279 0.640194i
\(221\) −20.5704 + 11.8763i −1.38371 + 0.798887i
\(222\) 0.121899 + 10.6940i 0.00818132 + 0.717732i
\(223\) −20.7792 + 1.81795i −1.39148 + 0.121739i −0.758119 0.652117i \(-0.773881\pi\)
−0.633362 + 0.773855i \(0.718326\pi\)
\(224\) −1.77323 + 1.48792i −0.118479 + 0.0994158i
\(225\) 9.30366 11.7661i 0.620244 0.784409i
\(226\) −7.31191 + 2.66132i −0.486381 + 0.177028i
\(227\) 1.75161 1.75161i 0.116259 0.116259i −0.646584 0.762843i \(-0.723803\pi\)
0.762843 + 0.646584i \(0.223803\pi\)
\(228\) −7.21761 + 2.21497i −0.477998 + 0.146690i
\(229\) 28.3541i 1.87369i −0.349742 0.936846i \(-0.613731\pi\)
0.349742 0.936846i \(-0.386269\pi\)
\(230\) −6.26792 + 1.70060i −0.413294 + 0.112134i
\(231\) 8.97848 + 18.6951i 0.590741 + 1.23005i
\(232\) −3.57445 0.312724i −0.234674 0.0205313i
\(233\) 1.71266 + 19.5758i 0.112200 + 1.28245i 0.818486 + 0.574527i \(0.194814\pi\)
−0.706286 + 0.707927i \(0.749631\pi\)
\(234\) 17.1960 + 2.62947i 1.12414 + 0.171894i
\(235\) 1.15946 + 0.417891i 0.0756349 + 0.0272602i
\(236\) 3.04686 + 1.75910i 0.198334 + 0.114508i
\(237\) −0.731415 + 1.30087i −0.0475105 + 0.0845006i
\(238\) −8.59358 + 4.00725i −0.557039 + 0.259751i
\(239\) −9.44652 + 16.3619i −0.611045 + 1.05836i 0.380020 + 0.924978i \(0.375917\pi\)
−0.991065 + 0.133382i \(0.957416\pi\)
\(240\) −1.05668 3.72605i −0.0682087 0.240515i
\(241\) −2.11022 11.9677i −0.135932 0.770906i −0.974207 0.225658i \(-0.927547\pi\)
0.838275 0.545248i \(-0.183564\pi\)
\(242\) −15.6974 + 1.37335i −1.00907 + 0.0882820i
\(243\) −15.4809 1.82807i −0.993100 0.117271i
\(244\) 6.31176 + 1.11293i 0.404069 + 0.0712483i
\(245\) 0.961268 + 3.54296i 0.0614132 + 0.226351i
\(246\) 5.74589 + 8.01009i 0.366345 + 0.510705i
\(247\) −19.7554 15.7664i −1.25701 1.00319i
\(248\) −2.92720 2.92720i −0.185877 0.185877i
\(249\) 24.6604 + 16.8518i 1.56279 + 1.06794i
\(250\) −3.92271 10.4696i −0.248094 0.662155i
\(251\) 7.18179 + 8.55893i 0.453311 + 0.540235i 0.943496 0.331383i \(-0.107515\pi\)
−0.490185 + 0.871618i \(0.663071\pi\)
\(252\) 6.74698 + 1.64397i 0.425020 + 0.103560i
\(253\) 12.3069 + 8.61738i 0.773728 + 0.541770i
\(254\) 3.12879 + 5.41923i 0.196318 + 0.340033i
\(255\) −0.230647 15.8630i −0.0144437 0.993381i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 0.596715 0.278253i 0.0372221 0.0173569i −0.403918 0.914795i \(-0.632352\pi\)
0.441140 + 0.897438i \(0.354574\pi\)
\(258\) −14.5403 11.9210i −0.905239 0.742168i
\(259\) −12.3780 + 7.14642i −0.769129 + 0.444057i
\(260\) 8.30323 9.95876i 0.514945 0.617616i
\(261\) 5.59326 + 9.19706i 0.346214 + 0.569284i
\(262\) 19.6035 + 1.71508i 1.21111 + 0.105958i
\(263\) 18.3184 12.8267i 1.12956 0.790926i 0.149330 0.988787i \(-0.452288\pi\)
0.980230 + 0.197861i \(0.0633996\pi\)
\(264\) −5.05495 + 7.39727i −0.311111 + 0.455270i
\(265\) −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
\(268\) 5.13504 11.0121i 0.313672 0.672672i
\(269\) 3.24394 18.3973i 0.197786 1.12170i −0.710608 0.703588i \(-0.751580\pi\)
0.908395 0.418114i \(-0.137309\pi\)
\(270\) −7.13108 + 9.17321i −0.433984 + 0.558264i
\(271\) −14.9483 12.5431i −0.908042 0.761938i 0.0637034 0.997969i \(-0.479709\pi\)
−0.971746 + 0.236031i \(0.924153\pi\)
\(272\) −3.35545 2.34951i −0.203454 0.142460i
\(273\) 8.20000 + 21.7545i 0.496287 + 1.31664i
\(274\) 2.82036 + 1.62834i 0.170384 + 0.0983713i
\(275\) −12.7909 + 22.4795i −0.771323 + 1.35556i
\(276\) 4.84407 1.35733i 0.291578 0.0817014i
\(277\) −19.3101 + 5.17413i −1.16023 + 0.310884i −0.787059 0.616878i \(-0.788397\pi\)
−0.373174 + 0.927761i \(0.621731\pi\)
\(278\) −0.135545 + 0.505861i −0.00812945 + 0.0303395i
\(279\) −1.87720 + 12.2764i −0.112385 + 0.734967i
\(280\) 3.64849 3.67148i 0.218039 0.219413i
\(281\) −4.93989 5.88714i −0.294689 0.351197i 0.598302 0.801271i \(-0.295842\pi\)
−0.892992 + 0.450073i \(0.851398\pi\)
\(282\) −0.900758 0.316269i −0.0536393 0.0188336i
\(283\) −6.69696 + 14.3617i −0.398093 + 0.853713i 0.600446 + 0.799666i \(0.294990\pi\)
−0.998538 + 0.0540471i \(0.982788\pi\)
\(284\) 7.19804 0.427125
\(285\) 15.6260 6.38969i 0.925604 0.378492i
\(286\) −29.9949 −1.77363
\(287\) −5.56777 + 11.9401i −0.328655 + 0.704803i
\(288\) 0.842309 + 2.87933i 0.0496336 + 0.169666i
\(289\) 0.141889 + 0.169096i 0.00834639 + 0.00994684i
\(290\) 8.02321 0.0251972i 0.471139 0.00147963i
\(291\) 9.94083 10.1701i 0.582742 0.596180i
\(292\) 2.50515 9.34935i 0.146603 0.547129i
\(293\) −2.51097 + 0.672813i −0.146693 + 0.0393062i −0.331418 0.943484i \(-0.607527\pi\)
0.184725 + 0.982790i \(0.440860\pi\)
\(294\) −0.767232 2.73812i −0.0447459 0.159690i
\(295\) −7.14029 3.30231i −0.415724 0.192268i
\(296\) −5.34733 3.08728i −0.310807 0.179445i
\(297\) 26.8627 0.918930i 1.55873 0.0533217i
\(298\) 3.30437 + 2.31374i 0.191417 + 0.134031i
\(299\) 12.9015 + 10.8257i 0.746115 + 0.626065i
\(300\) 3.10539 + 8.08434i 0.179290 + 0.466750i
\(301\) 4.36349 24.7466i 0.251508 1.42637i
\(302\) −2.19824 + 4.71414i −0.126495 + 0.271268i
\(303\) −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
\(306\) 0.280119 + 12.2856i 0.0160133 + 0.702318i
\(307\) 18.9477 13.2673i 1.08140 0.757207i 0.109832 0.993950i \(-0.464969\pi\)
0.971572 + 0.236743i \(0.0760799\pi\)
\(308\) −11.9283 1.04359i −0.679677 0.0594640i
\(309\) 10.9564 + 0.832837i 0.623286 + 0.0473785i
\(310\) 7.10964 + 5.92774i 0.403800 + 0.336673i
\(311\) 20.4202 11.7896i 1.15792 0.668527i 0.207117 0.978316i \(-0.433592\pi\)
0.950805 + 0.309789i \(0.100259\pi\)
\(312\) −6.36774 + 7.76687i −0.360502 + 0.439712i
\(313\) −13.9753 + 6.51677i −0.789929 + 0.368350i −0.775340 0.631544i \(-0.782422\pi\)
−0.0145884 + 0.999894i \(0.504644\pi\)
\(314\) 1.85584 + 0.675472i 0.104731 + 0.0381191i
\(315\) −15.3570 2.29893i −0.865267 0.129530i
\(316\) −0.430816 0.746195i −0.0242353 0.0419768i
\(317\) 15.7726 + 11.0441i 0.885880 + 0.620300i 0.925430 0.378918i \(-0.123704\pi\)
−0.0395505 + 0.999218i \(0.512593\pi\)
\(318\) 7.96085 + 9.27069i 0.446423 + 0.519875i
\(319\) −11.9304 14.2181i −0.667973 0.796059i
\(320\) 2.16168 + 0.571951i 0.120842 + 0.0319730i
\(321\) −18.3128 + 26.7984i −1.02212 + 1.49574i
\(322\) 4.75400 + 4.75400i 0.264930 + 0.264930i
\(323\) 8.54511 15.6776i 0.475463 0.872325i
\(324\) 5.46485 7.15091i 0.303603 0.397273i
\(325\) −16.4803 + 23.8538i −0.914162 + 1.32317i
\(326\) 12.2258 + 2.15574i 0.677125 + 0.119395i
\(327\) 3.10338 + 5.23646i 0.171618 + 0.289577i
\(328\) −5.66977 + 0.496040i −0.313060 + 0.0273892i
\(329\) −0.221551 1.25648i −0.0122145 0.0692719i
\(330\) 9.76369 17.4937i 0.537474 0.962999i
\(331\) −9.50400 + 16.4614i −0.522387 + 0.904801i 0.477274 + 0.878755i \(0.341625\pi\)
−0.999661 + 0.0260461i \(0.991708\pi\)
\(332\) −15.6288 + 7.28783i −0.857742 + 0.399972i
\(333\) 2.03466 + 18.4116i 0.111499 + 1.00895i
\(334\) −0.0630467 0.0364000i −0.00344976 0.00199172i
\(335\) −9.21226 + 25.5600i −0.503320 + 1.39649i
\(336\) −2.80253 + 2.86716i −0.152891 + 0.156416i
\(337\) 1.21304 + 13.8651i 0.0660786 + 0.755282i 0.954881 + 0.296990i \(0.0959828\pi\)
−0.888802 + 0.458291i \(0.848462\pi\)
\(338\) −20.5456 1.79751i −1.11753 0.0977715i
\(339\) −12.1489 + 5.83464i −0.659840 + 0.316894i
\(340\) 7.94670 + 4.55481i 0.430970 + 0.247019i
\(341\) 21.4136i 1.15961i
\(342\) −12.0626 + 5.04921i −0.652269 + 0.273030i
\(343\) 14.1448 14.1448i 0.763750 0.763750i
\(344\) 10.2009 3.71282i 0.549995 0.200182i
\(345\) −10.5134 + 4.00060i −0.566023 + 0.215385i
\(346\) 9.80996 8.23153i 0.527387 0.442530i
\(347\) −18.5944 + 1.62680i −0.998198 + 0.0873310i −0.574528 0.818485i \(-0.694814\pi\)
−0.423671 + 0.905816i \(0.639259\pi\)
\(348\) −6.21438 + 0.0708367i −0.333126 + 0.00379725i
\(349\) −21.0223 + 12.1372i −1.12530 + 0.649691i −0.942748 0.333506i \(-0.891768\pi\)
−0.182549 + 0.983197i \(0.558435\pi\)
\(350\) −7.38376 + 8.91272i −0.394679 + 0.476405i
\(351\) 30.0881 + 1.59832i 1.60599 + 0.0853120i
\(352\) −2.18610 4.68811i −0.116520 0.249877i
\(353\) 30.3149 8.12284i 1.61350 0.432335i 0.664415 0.747364i \(-0.268681\pi\)
0.949082 + 0.315028i \(0.102014\pi\)
\(354\) 5.55178 + 2.51220i 0.295074 + 0.133522i
\(355\) −16.0296 + 1.45315i −0.850761 + 0.0771250i
\(356\) −4.46777 + 5.32448i −0.236791 + 0.282197i
\(357\) −14.1284 + 8.37320i −0.747755 + 0.443157i
\(358\) 7.96120 + 11.3698i 0.420763 + 0.600911i
\(359\) −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
\(363\) −26.8222 + 5.04535i −1.40780 + 0.264812i
\(364\) −13.2187 2.33081i −0.692848 0.122168i
\(365\) −3.69135 + 21.3261i −0.193214 + 1.11626i
\(366\) 11.0690 + 0.841400i 0.578586 + 0.0439807i
\(367\) 13.5723 19.3832i 0.708466 1.01179i −0.290032 0.957017i \(-0.593666\pi\)
0.998499 0.0547777i \(-0.0174450\pi\)
\(368\) −0.751724 + 2.80547i −0.0391863 + 0.146245i
\(369\) 11.2704 + 12.8261i 0.586715 + 0.667699i
\(370\) 12.5314 + 5.79566i 0.651478 + 0.301302i
\(371\) −5.58552 + 15.3461i −0.289986 + 0.796729i
\(372\) −5.54483 4.54598i −0.287486 0.235698i
\(373\) −25.2834 6.77467i −1.30913 0.350779i −0.464232 0.885714i \(-0.653670\pi\)
−0.844894 + 0.534934i \(0.820336\pi\)
\(374\) −3.67941 20.8670i −0.190258 1.07901i
\(375\) −8.54757 17.3764i −0.441395 0.897313i
\(376\) 0.422227 0.354290i 0.0217747 0.0182711i
\(377\) −11.9339 17.0433i −0.614626 0.877777i
\(378\) 11.9098 + 1.68245i 0.612572 + 0.0865359i
\(379\) 16.8668i 0.866388i 0.901301 + 0.433194i \(0.142614\pi\)
−0.901301 + 0.433194i \(0.857386\pi\)
\(380\) −1.42599 + 9.64192i −0.0731516 + 0.494620i
\(381\) 6.31747 + 8.80691i 0.323654 + 0.451191i
\(382\) 5.34602 + 2.49289i 0.273526 + 0.127547i
\(383\) −0.172642 + 0.120885i −0.00882160 + 0.00617695i −0.577979 0.816052i \(-0.696158\pi\)
0.569157 + 0.822229i \(0.307270\pi\)
\(384\) −1.67803 0.429189i −0.0856318 0.0219020i
\(385\) 26.7742 0.0840855i 1.36454 0.00428540i
\(386\) 5.06654 0.893368i 0.257880 0.0454712i
\(387\) −27.0959 18.0665i −1.37736 0.918374i
\(388\) 2.12511 + 7.93100i 0.107886 + 0.402636i
\(389\) 6.20438 + 2.25821i 0.314574 + 0.114496i 0.494482 0.869188i \(-0.335358\pi\)
−0.179908 + 0.983683i \(0.557580\pi\)
\(390\) 12.6126 18.5818i 0.638662 0.940928i
\(391\) −5.94865 + 10.3034i −0.300836 + 0.521064i
\(392\) 1.58580 + 0.424914i 0.0800950 + 0.0214614i
\(393\) 34.0818 0.388493i 1.71920 0.0195969i
\(394\) −9.12323 + 10.8726i −0.459622 + 0.547756i
\(395\) 1.11004 + 1.57476i 0.0558523 + 0.0792346i
\(396\) −7.45077 + 13.6126i −0.374415 + 0.684058i
\(397\) 21.7551 + 10.1446i 1.09186 + 0.509141i 0.883271 0.468863i \(-0.155336\pi\)
0.208586 + 0.978004i \(0.433114\pi\)
\(398\) 16.0085 + 16.0085i 0.802432 + 0.802432i
\(399\) −13.7828 10.7450i −0.690005 0.537921i
\(400\) −4.92940 0.837296i −0.246470 0.0418648i
\(401\) −10.6844 29.3553i −0.533556 1.46593i −0.854811 0.518940i \(-0.826327\pi\)
0.321255 0.946993i \(-0.395895\pi\)
\(402\) 6.97205 19.8569i 0.347734 0.990373i
\(403\) 2.09213 23.9132i 0.104216 1.19120i
\(404\) −2.35056 1.97235i −0.116945 0.0981281i
\(405\) −10.7262 + 17.0279i −0.532991 + 0.846121i
\(406\) −4.15286 7.19296i −0.206103 0.356981i
\(407\) −8.26655 30.8512i −0.409758 1.52924i
\(408\) −6.18441 3.47719i −0.306174 0.172147i
\(409\) 2.27562 6.25221i 0.112522 0.309152i −0.870631 0.491937i \(-0.836289\pi\)
0.983153 + 0.182785i \(0.0585113\pi\)
\(410\) 12.5261 2.24927i 0.618618 0.111083i
\(411\) 5.13907 + 2.32545i 0.253491 + 0.114706i
\(412\) −3.63872 + 5.19663i −0.179267 + 0.256019i
\(413\) 0.709789 + 8.11293i 0.0349265 + 0.399211i
\(414\) 8.11778 3.16600i 0.398967 0.155600i
\(415\) 33.3331 19.3847i 1.63626 0.951557i
\(416\) −1.98325 5.44893i −0.0972367 0.267156i
\(417\) −0.147321 + 0.895042i −0.00721436 + 0.0438304i
\(418\) 19.2439 11.7499i 0.941252 0.574708i
\(419\) −23.2872 −1.13766 −0.568828 0.822457i \(-0.692603\pi\)
−0.568828 + 0.822457i \(0.692603\pi\)
\(420\) 5.66223 6.95076i 0.276289 0.339162i
\(421\) −1.03138 + 5.84926i −0.0502665 + 0.285075i −0.999571 0.0292820i \(-0.990678\pi\)
0.949305 + 0.314357i \(0.101789\pi\)
\(422\) 0.0967822 1.10623i 0.00471128 0.0538502i
\(423\) −1.60653 0.391447i −0.0781122 0.0190328i
\(424\) −6.94786 + 1.22510i −0.337418 + 0.0594959i
\(425\) −18.6163 8.53899i −0.903024 0.414202i
\(426\) 12.4067 1.22810i 0.601108 0.0595014i
\(427\) 6.26988 + 13.4458i 0.303421 + 0.650688i
\(428\) −7.91968 16.9838i −0.382812 0.820943i
\(429\) −51.7000 + 5.11759i −2.49610 + 0.247079i
\(430\) −21.9672 + 10.3276i −1.05935 + 0.498040i
\(431\) 0.952481 0.167948i 0.0458794 0.00808978i −0.150661 0.988585i \(-0.548140\pi\)
0.196541 + 0.980496i \(0.437029\pi\)
\(432\) 1.94308 + 4.81917i 0.0934867 + 0.231863i
\(433\) −0.895747 + 10.2384i −0.0430469 + 0.492028i 0.943816 + 0.330470i \(0.107207\pi\)
−0.986863 + 0.161558i \(0.948348\pi\)
\(434\) 1.66399 9.43693i 0.0798739 0.452987i
\(435\) 13.8247 1.41231i 0.662844 0.0677152i
\(436\) −3.51433 −0.168306
\(437\) −12.5181 1.89154i −0.598820 0.0904848i
\(438\) 2.72280 16.5422i 0.130101 0.790417i
\(439\) −11.6084 31.8939i −0.554041 1.52222i −0.828144 0.560515i \(-0.810603\pi\)
0.274103 0.961700i \(-0.411619\pi\)
\(440\) 5.81474 + 9.99878i 0.277207 + 0.476673i
\(441\) −1.78959 4.58860i −0.0852184 0.218505i
\(442\) −2.07018 23.6622i −0.0984683 1.12550i
\(443\) 16.3882 23.4048i 0.778627 1.11199i −0.212249 0.977216i \(-0.568079\pi\)
0.990876 0.134779i \(-0.0430323\pi\)
\(444\) −9.74355 4.40899i −0.462408 0.209241i
\(445\) 8.87452 12.7592i 0.420693 0.604845i
\(446\) 7.13407 19.6007i 0.337808 0.928119i
\(447\) 6.09025 + 3.42425i 0.288059 + 0.161962i
\(448\) −0.599112 2.23592i −0.0283054 0.105637i
\(449\) 6.97536 + 12.0817i 0.329188 + 0.570170i 0.982351 0.187047i \(-0.0598917\pi\)
−0.653163 + 0.757217i \(0.726558\pi\)
\(450\) 6.73184 + 13.4046i 0.317342 + 0.631897i
\(451\) −22.5526 18.9239i −1.06196 0.891091i
\(452\) 0.678173 7.75156i 0.0318986 0.364603i
\(453\) −2.98464 + 8.50048i −0.140231 + 0.399387i
\(454\) 0.847237 + 2.32777i 0.0397628 + 0.109247i
\(455\) 29.9077 + 2.52197i 1.40210 + 0.118232i
\(456\) 1.04285 7.47746i 0.0488361 0.350164i
\(457\) 19.8917 + 19.8917i 0.930497 + 0.930497i 0.997737 0.0672403i \(-0.0214194\pi\)
−0.0672403 + 0.997737i \(0.521419\pi\)
\(458\) 25.6975 + 11.9830i 1.20077 + 0.559927i
\(459\) 2.57892 + 21.1279i 0.120374 + 0.986167i
\(460\) 1.10767 6.39937i 0.0516454 0.298372i
\(461\) 2.98083 3.55241i 0.138831 0.165452i −0.692149 0.721755i \(-0.743336\pi\)
0.830980 + 0.556302i \(0.187780\pi\)
\(462\) −20.7380 + 0.236389i −0.964817 + 0.0109978i
\(463\) −7.83870 2.10037i −0.364295 0.0976126i 0.0720280 0.997403i \(-0.477053\pi\)
−0.436323 + 0.899790i \(0.643720\pi\)
\(464\) 1.79405 3.10739i 0.0832868 0.144257i
\(465\) 13.2657 + 9.00421i 0.615183 + 0.417560i
\(466\) −18.4655 6.72089i −0.855398 0.311339i
\(467\) −0.187171 0.698530i −0.00866122 0.0323241i 0.961460 0.274945i \(-0.0886596\pi\)
−0.970121 + 0.242621i \(0.921993\pi\)
\(468\) −9.65046 + 14.4736i −0.446092 + 0.669043i
\(469\) 27.6986 4.88402i 1.27900 0.225523i
\(470\) −0.868747 + 0.874221i −0.0400723 + 0.0403248i
\(471\) 3.31403 + 0.847627i 0.152702 + 0.0390566i
\(472\) −2.88195 + 2.01796i −0.132652 + 0.0928842i
\(473\) 50.8920 + 23.7313i 2.34002 + 1.09117i
\(474\) −0.869879 1.21266i −0.0399548 0.0556993i
\(475\) 1.22906 21.7598i 0.0563932 0.998409i
\(476\) 9.48196i 0.434605i
\(477\) 15.3033 + 14.6210i 0.700688 + 0.669448i
\(478\) −10.8366 15.4763i −0.495655 0.707868i
\(479\) −4.54804 + 3.81626i −0.207805 + 0.174369i −0.740750 0.671781i \(-0.765530\pi\)
0.532945 + 0.846150i \(0.321085\pi\)
\(480\) 3.82352 + 0.617014i 0.174519 + 0.0281627i
\(481\) −6.21730 35.2601i −0.283485 1.60772i
\(482\) 11.7382 + 3.14525i 0.534661 + 0.143262i
\(483\) 9.00523 + 7.38302i 0.409752 + 0.335939i
\(484\) 5.38934 14.8071i 0.244970 0.673049i
\(485\) −6.33359 17.2328i −0.287594 0.782502i
\(486\) 8.19930 13.2579i 0.371928 0.601390i
\(487\) −6.18452 + 23.0809i −0.280247 + 1.04590i 0.671996 + 0.740555i \(0.265437\pi\)
−0.952243 + 0.305342i \(0.901229\pi\)
\(488\) −3.67613 + 5.25005i −0.166410 + 0.237659i
\(489\) 21.4406 + 1.62978i 0.969575 + 0.0737013i
\(490\) −3.61726 0.626113i −0.163411 0.0282849i
\(491\) −14.1292 2.49136i −0.637643 0.112434i −0.154525 0.987989i \(-0.549385\pi\)
−0.483118 + 0.875555i \(0.660496\pi\)
\(492\) −9.68793 + 1.82234i −0.436766 + 0.0821573i
\(493\) 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
\(497\) 9.55691 + 13.6487i 0.428686 + 0.612227i
\(498\) −25.6948 + 15.2280i −1.15141 + 0.682384i
\(499\) 2.50137 2.98101i 0.111977 0.133448i −0.707145 0.707069i \(-0.750017\pi\)
0.819121 + 0.573620i \(0.194462\pi\)
\(500\) 11.1465 + 0.869453i 0.498486 + 0.0388831i
\(501\) −0.114879 0.0519833i −0.00513243 0.00232244i
\(502\) −10.7922 + 2.89176i −0.481679 + 0.129065i
\(503\) −11.7008 25.0925i −0.521714 1.11882i −0.973917 0.226904i \(-0.927140\pi\)
0.452203 0.891915i \(-0.350638\pi\)
\(504\) −4.34134 + 5.42007i −0.193378 + 0.241429i
\(505\) 5.63272 + 3.91777i 0.250653 + 0.174338i
\(506\) −13.0111 + 7.51197i −0.578415 + 0.333948i
\(507\) −35.7197 + 0.407163i −1.58637 + 0.0180827i
\(508\) −6.23377 + 0.545384i −0.276579 + 0.0241975i
\(509\) −2.86744 + 2.40606i −0.127097 + 0.106647i −0.704120 0.710081i \(-0.748659\pi\)
0.577024 + 0.816727i \(0.304214\pi\)
\(510\) 14.4743 + 6.49497i 0.640931 + 0.287602i
\(511\) 21.0540 7.66304i 0.931375 0.338993i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −19.9299 + 10.7610i −0.879926 + 0.475110i
\(514\) 0.658402i 0.0290409i
\(515\) 7.05409 12.3071i 0.310840 0.542317i
\(516\) 16.9491 8.13995i 0.746141 0.358341i
\(517\) 2.84026 + 0.248490i 0.124914 + 0.0109286i
\(518\) −1.24570 14.2384i −0.0547330 0.625601i
\(519\) 15.5043 15.8618i 0.680562 0.696257i
\(520\) 5.51660 + 11.7340i 0.241919 + 0.514571i
\(521\) −18.4177 10.6335i −0.806896 0.465862i 0.0389809 0.999240i \(-0.487589\pi\)
−0.845877 + 0.533378i \(0.820922\pi\)
\(522\) −10.6992 + 1.18236i −0.468290 + 0.0517507i
\(523\) −21.7311 + 10.1334i −0.950236 + 0.443102i −0.835009 0.550237i \(-0.814537\pi\)
−0.115227 + 0.993339i \(0.536760\pi\)
\(524\) −9.83919 + 17.0420i −0.429827 + 0.744483i
\(525\) −11.2062 + 16.6220i −0.489079 + 0.725443i
\(526\) 3.88323 + 22.0229i 0.169317 + 0.960243i
\(527\) 16.8927 1.47792i 0.735856 0.0643791i
\(528\) −4.56788 7.70756i −0.198792 0.335429i
\(529\) −14.3430 2.52905i −0.623607 0.109959i
\(530\) 15.2251 4.13085i 0.661337 0.179433i
\(531\) 9.99781 + 3.38288i 0.433868 + 0.146804i
\(532\) 9.39383 3.68278i 0.407274 0.159669i
\(533\) −23.3363 23.3363i −1.01081 1.01081i
\(534\) −6.79233 + 9.93968i −0.293933 + 0.430132i
\(535\) 21.0653 + 36.2230i 0.910733 + 1.56606i
\(536\) 7.81021 + 9.30785i 0.337350 + 0.402038i
\(537\) 15.6620 + 18.2389i 0.675865 + 0.787069i
\(538\) 15.3026 + 10.7150i 0.659744 + 0.461958i
\(539\) 4.24616 + 7.35457i 0.182895 + 0.316784i
\(540\) −5.30002 10.3397i −0.228077 0.444951i
\(541\) 16.2609 + 5.91850i 0.699112 + 0.254456i 0.667032 0.745029i \(-0.267565\pi\)
0.0320804 + 0.999485i \(0.489787\pi\)
\(542\) 17.6853 8.24679i 0.759649 0.354230i
\(543\) −26.0293 + 31.7485i −1.11702 + 1.36246i
\(544\) 3.54746 2.04812i 0.152096 0.0878126i
\(545\) 7.82618 0.709476i 0.335237 0.0303906i
\(546\) −23.1818 1.76214i −0.992088 0.0754126i
\(547\) 21.6612 + 1.89511i 0.926165 + 0.0810289i 0.540249 0.841505i \(-0.318330\pi\)
0.385916 + 0.922534i \(0.373886\pi\)
\(548\) −2.66771 + 1.86795i −0.113959 + 0.0797949i
\(549\) 19.2224 0.438283i 0.820392 0.0187055i
\(550\) −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
\(553\) 0.842912 1.80763i 0.0358442 0.0768682i
\(554\) 3.47146 19.6876i 0.147488 0.836446i
\(555\) 22.5883 + 7.85150i 0.958822 + 0.333278i
\(556\) −0.401182 0.336632i −0.0170139 0.0142764i
\(557\) 6.07927 + 4.25675i 0.257587 + 0.180364i 0.695236 0.718782i \(-0.255300\pi\)
−0.437649 + 0.899146i \(0.644189\pi\)
\(558\) −10.3328 6.88954i −0.437424 0.291657i
\(559\) 54.5140 + 31.4737i 2.30570 + 1.33120i
\(560\) 1.78557 + 4.85829i 0.0754542 + 0.205300i
\(561\) −9.90216 35.3391i −0.418070 1.49202i
\(562\) 7.42325 1.98905i 0.313131 0.0839031i
\(563\) −9.17460 + 34.2401i −0.386663 + 1.44305i 0.448865 + 0.893600i \(0.351828\pi\)
−0.835528 + 0.549447i \(0.814838\pi\)
\(564\) 0.667314 0.682702i 0.0280990 0.0287470i
\(565\) 0.0546427 + 17.3991i 0.00229884 + 0.731987i
\(566\) −10.1858 12.1390i −0.428143 0.510241i
\(567\) 20.8150 + 0.867929i 0.874149 + 0.0364496i
\(568\) −3.04202 + 6.52364i −0.127640 + 0.273726i
\(569\) −13.2833 −0.556863 −0.278432 0.960456i \(-0.589815\pi\)
−0.278432 + 0.960456i \(0.589815\pi\)
\(570\) −0.812810 + 16.8624i −0.0340449 + 0.706287i
\(571\) −16.2415 −0.679686 −0.339843 0.940482i \(-0.610374\pi\)
−0.339843 + 0.940482i \(0.610374\pi\)
\(572\) 12.6764 27.1846i 0.530026 1.13664i
\(573\) 9.63987 + 3.38470i 0.402711 + 0.141398i
\(574\) −8.46838 10.0922i −0.353463 0.421241i
\(575\) −1.17480 + 14.4746i −0.0489926 + 0.603633i
\(576\) −2.96553 0.453464i −0.123564 0.0188943i
\(577\) −2.16816 + 8.09167i −0.0902616 + 0.336861i −0.996258 0.0864235i \(-0.972456\pi\)
0.905997 + 0.423284i \(0.139123\pi\)
\(578\) −0.213218 + 0.0571316i −0.00886870 + 0.00237636i
\(579\) 8.58041 2.40426i 0.356590 0.0999178i
\(580\) −3.36792 + 7.28214i −0.139845 + 0.302375i
\(581\) −34.5695 19.9587i −1.43418 0.828026i
\(582\) 5.01604 + 13.3075i 0.207922 + 0.551614i
\(583\) −29.8941 20.9321i −1.23809 0.866919i
\(584\) 7.41466 + 6.22164i 0.306821 + 0.257453i
\(585\) 18.5690 34.1801i 0.767734 1.41317i
\(586\) 0.451407 2.56006i 0.0186475 0.105755i
\(587\) −6.57581 + 14.1019i −0.271413 + 0.582047i −0.994018 0.109214i \(-0.965167\pi\)
0.722605 + 0.691261i \(0.242944\pi\)
\(588\) 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
\(591\) −13.8700 + 20.2969i −0.570536 + 0.834905i
\(592\) 5.05791 3.54159i 0.207879 0.145558i
\(593\) −45.9303 4.01838i −1.88613 0.165015i −0.914984 0.403490i \(-0.867797\pi\)
−0.971149 + 0.238474i \(0.923353\pi\)
\(594\) −10.5198 + 24.7342i −0.431634 + 1.01486i
\(595\) 1.91423 + 21.1157i 0.0784757 + 0.865660i
\(596\) −3.49345 + 2.01694i −0.143097 + 0.0826172i
\(597\) 30.3239 + 24.8613i 1.24108 + 1.01751i
\(598\) −15.2638 + 7.11764i −0.624184 + 0.291062i
\(599\) 19.3155 + 7.03025i 0.789208 + 0.287248i 0.705007 0.709201i \(-0.250944\pi\)
0.0842012 + 0.996449i \(0.473166\pi\)
\(600\) −8.63929 0.602155i −0.352698 0.0245829i
\(601\) −14.2130 24.6176i −0.579759 1.00417i −0.995507 0.0946922i \(-0.969813\pi\)
0.415747 0.909480i \(-0.363520\pi\)
\(602\) 20.5839 + 14.4130i 0.838939 + 0.587431i
\(603\) 8.62932 35.4154i 0.351413 1.44223i
\(604\) −3.34345 3.98456i −0.136043 0.162130i
\(605\) −9.01244 + 34.0624i −0.366408 + 1.38484i
\(606\) −4.38800 2.99856i −0.178250 0.121808i
\(607\) −15.9044 15.9044i −0.645540 0.645540i 0.306372 0.951912i \(-0.400885\pi\)
−0.951912 + 0.306372i \(0.900885\pi\)
\(608\) 3.40692 + 2.71899i 0.138169 + 0.110270i
\(609\) −8.38521 11.6894i −0.339786 0.473680i
\(610\) 7.12662 12.4337i 0.288548 0.503425i
\(611\) 3.14752 + 0.554992i 0.127335 + 0.0224526i
\(612\) −11.2529 4.93823i −0.454871 0.199616i
\(613\) 16.1715 1.41482i 0.653161 0.0571442i 0.244241 0.969715i \(-0.421461\pi\)
0.408920 + 0.912570i \(0.365906\pi\)
\(614\) 4.01664 + 22.7795i 0.162098 + 0.919306i
\(615\) 21.2065 6.01404i 0.855129 0.242509i
\(616\) 5.98692 10.3697i 0.241220 0.417805i
\(617\) 26.2585 12.2446i 1.05713 0.492947i 0.185262 0.982689i \(-0.440687\pi\)
0.871868 + 0.489742i \(0.162909\pi\)
\(618\) −5.38517 + 9.57787i −0.216623 + 0.385278i
\(619\) −1.17648 0.679242i −0.0472868 0.0273010i 0.476170 0.879353i \(-0.342025\pi\)
−0.523457 + 0.852052i \(0.675358\pi\)
\(620\) −8.37702 + 3.93835i −0.336429 + 0.158168i
\(621\) 13.4519 6.84201i 0.539805 0.274561i
\(622\) 2.05506 + 23.4895i 0.0824005 + 0.941842i
\(623\) −16.0280 1.40227i −0.642148 0.0561807i
\(624\) −4.34805 9.05355i −0.174061 0.362432i
\(625\) −24.9980 + 0.314045i −0.999921 + 0.0125618i
\(626\) 15.4200i 0.616307i
\(627\) 31.1647 23.5358i 1.24460 0.939929i
\(628\) −1.39650 + 1.39650i −0.0557264 + 0.0557264i
\(629\) 23.7672 8.65057i 0.947662 0.344921i
\(630\) 8.57367 12.9466i 0.341583 0.515804i
\(631\) −13.7029 + 11.4981i −0.545504 + 0.457732i −0.873415 0.486976i \(-0.838100\pi\)
0.327911 + 0.944709i \(0.393655\pi\)
\(632\) 0.858353 0.0750962i 0.0341435 0.00298717i
\(633\) −0.0219226 1.92323i −0.000871346 0.0764416i
\(634\) −16.6752 + 9.62742i −0.662256 + 0.382354i
\(635\) 13.7721 2.47302i 0.546529 0.0981386i
\(636\) −11.7665 + 3.29702i −0.466572 + 0.130735i
\(637\) 4.02326 + 8.62791i 0.159407 + 0.341850i
\(638\) 17.9280 4.80378i 0.709774 0.190183i
\(639\) 21.1751 4.23356i 0.837672 0.167477i
\(640\) −1.43193 + 1.71743i −0.0566020 + 0.0678875i
\(641\) 3.85530 4.59457i 0.152275 0.181474i −0.684514 0.729000i \(-0.739986\pi\)
0.836789 + 0.547525i \(0.184430\pi\)
\(642\) −16.5483 27.9225i −0.653108 1.10201i
\(643\) −7.74680 11.0636i −0.305504 0.436305i 0.636817 0.771015i \(-0.280251\pi\)
−0.942321 + 0.334710i \(0.891362\pi\)
\(644\) −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 −0.976739 0.214432i \(-0.931210\pi\)
0.214432 + 0.976739i \(0.431210\pi\)
\(648\) 4.17138 + 7.97494i 0.163867 + 0.313285i
\(649\) −17.9223 3.16019i −0.703514 0.124048i
\(650\) −14.6540 25.0172i −0.574777 0.981257i
\(651\) 1.25801 16.5497i 0.0493051 0.648632i
\(652\) −7.12062 + 10.1693i −0.278865 + 0.398260i
\(653\) 11.4952 42.9006i 0.449841 1.67883i −0.252987 0.967470i \(-0.581413\pi\)
0.702828 0.711360i \(-0.251920\pi\)
\(654\) −6.05739 + 0.599598i −0.236863 + 0.0234461i
\(655\) 18.4708 39.9378i 0.721714 1.56050i
\(656\) 1.94658 5.34819i 0.0760012 0.208812i
\(657\) 1.87074 28.9771i 0.0729846 1.13051i
\(658\) 1.23239 + 0.330217i 0.0480435 + 0.0128732i
\(659\) −2.31019 13.1017i −0.0899922 0.510371i −0.996167 0.0874685i \(-0.972122\pi\)
0.906175 0.422903i \(-0.138989\pi\)
\(660\) 11.7284 + 16.2421i 0.456527 + 0.632222i
\(661\) 20.0681 16.8391i 0.780557 0.654965i −0.162832 0.986654i \(-0.552063\pi\)
0.943389 + 0.331688i \(0.107618\pi\)
\(662\) −10.9025 15.5704i −0.423739 0.605162i
\(663\) −7.60536 40.4317i −0.295368 1.57024i
\(664\) 17.2445i 0.669216i
\(665\) −20.1760 + 10.0978i −0.782391 + 0.391574i
\(666\) −17.5465 5.93706i −0.679912 0.230056i
\(667\) −9.44503 4.40429i −0.365713 0.170535i
\(668\) 0.0596343 0.0417564i 0.00230732 0.00161560i
\(669\) 8.95229 35.0015i 0.346116 1.35323i
\(670\) −19.2719 19.1512i −0.744539 0.739877i
\(671\) −32.6492 + 5.75693i −1.26041 + 0.222244i
\(672\) −1.41413 3.75167i −0.0545512 0.144724i
\(673\) 5.85979 + 21.8690i 0.225878 + 0.842989i 0.982051 + 0.188617i \(0.0604004\pi\)
−0.756172 + 0.654372i \(0.772933\pi\)
\(674\) −13.0787 4.76027i −0.503774 0.183359i
\(675\) 13.8902 + 21.9559i 0.534634 + 0.845084i
\(676\) 10.3120 17.8610i 0.396617 0.686961i
\(677\) −23.1118 6.19280i −0.888260 0.238009i −0.214292 0.976770i \(-0.568745\pi\)
−0.673968 + 0.738761i \(0.735411\pi\)
\(678\) −0.153617 13.4765i −0.00589961 0.517562i
\(679\) −12.2170 + 14.5596i −0.468844 + 0.558747i
\(680\) −7.48648 + 5.27721i −0.287093 + 0.202372i
\(681\) 1.85747 + 3.86765i 0.0711786 + 0.148209i
\(682\) 19.4073 + 9.04977i 0.743144 + 0.346534i
\(683\) 5.43172 + 5.43172i 0.207839 + 0.207839i 0.803348 0.595509i \(-0.203050\pi\)
−0.595509 + 0.803348i \(0.703050\pi\)
\(684\) 0.521720 13.0663i 0.0199485 0.499602i
\(685\) 5.56371 4.69836i 0.212579 0.179515i
\(686\) 6.84171 + 18.7974i 0.261218 + 0.717690i
\(687\) 46.3375 + 16.2698i 1.76788 + 0.620730i
\(688\) −0.946125 + 10.8143i −0.0360707 + 0.412290i
\(689\) −31.3386 26.2962i −1.19390 1.00180i
\(690\) 0.817380 11.2191i 0.0311171 0.427104i
\(691\) 17.6543 + 30.5781i 0.671600 + 1.16325i 0.977450 + 0.211166i \(0.0677260\pi\)
−0.305850 + 0.952080i \(0.598941\pi\)
\(692\) 3.31443 + 12.3696i 0.125996 + 0.470223i
\(693\) −35.7042 + 3.94566i −1.35629 + 0.149883i
\(694\) 6.38394 17.5397i 0.242331 0.665800i
\(695\) 0.961366 + 0.668666i 0.0364667 + 0.0253640i
\(696\) 2.56211 5.66207i 0.0971165 0.214620i
\(697\) 13.3721 19.0973i 0.506503 0.723362i
\(698\) −2.11566 24.1821i −0.0800788 0.915305i
\(699\) −32.9743 8.43382i −1.24720 0.318996i
\(700\) −4.95715 10.4586i −0.187363 0.395299i
\(701\) 5.16687 + 14.1958i 0.195150 + 0.536170i 0.998215 0.0597213i \(-0.0190212\pi\)
−0.803065 + 0.595891i \(0.796799\pi\)
\(702\) −14.1644 + 26.5936i −0.534600 + 1.00371i
\(703\) 17.8013 + 20.1865i 0.671390 + 0.761347i
\(704\) 5.17275 0.194955
\(705\) −1.34824 + 1.65505i −0.0507777 + 0.0623329i
\(706\) −5.44982 + 30.9075i −0.205107 + 1.16322i
\(707\) 0.619048 7.07576i 0.0232817 0.266111i
\(708\) −4.62311 + 3.96992i −0.173747 + 0.149199i
\(709\) −0.729072 + 0.128555i −0.0273809 + 0.00482798i −0.187322 0.982299i \(-0.559981\pi\)
0.159941 + 0.987127i \(0.448870\pi\)
\(710\) 5.45739 15.1419i 0.204812 0.568264i
\(711\) −1.70624 1.94176i −0.0639892 0.0728216i
\(712\) −2.93746 6.29939i −0.110086 0.236080i
\(713\) −5.08134 10.8970i −0.190298 0.408095i
\(714\) −1.61777 16.3434i −0.0605435 0.611635i
\(715\) −22.7414 + 63.0975i −0.850482 + 2.35971i
\(716\) −13.6691 + 2.41022i −0.510837 + 0.0900743i
\(717\) −21.3187 24.8264i −0.796163 0.927160i
\(718\) 0.101978 1.16562i 0.00380580 0.0435005i
\(719\) 0.826424 4.68688i 0.0308204 0.174791i −0.965512 0.260359i \(-0.916159\pi\)
0.996332 + 0.0855674i \(0.0272703\pi\)
\(720\) 6.69559 + 0.411151i 0.249530 + 0.0153227i
\(721\) −14.6848 −0.546891
\(722\) −10.1205 + 16.0803i −0.376648 + 0.598445i
\(723\) 20.7689 + 3.41851i 0.772405 + 0.127136i
\(724\) −8.10689 22.2735i −0.301290 0.827788i
\(725\) 6.03001 16.8968i 0.223949 0.627531i
\(726\) 6.76289 26.4414i 0.250995 0.981332i
\(727\) 3.64133 + 41.6206i 0.135049 + 1.54362i 0.697376 + 0.716706i \(0.254351\pi\)
−0.562326 + 0.826915i \(0.690094\pi\)
\(728\) 7.69890 10.9952i 0.285340 0.407508i
\(729\) 11.8705 24.2506i 0.439650 0.898169i
\(730\) −17.7680 12.3583i −0.657624 0.457402i
\(731\) −15.2086 + 41.7854i −0.562512 + 1.54549i
\(732\) −5.44053 + 9.67634i −0.201088 + 0.357648i
\(733\) 7.45878 + 27.8366i 0.275496 + 1.02817i 0.955508 + 0.294965i \(0.0953081\pi\)
−0.680011 + 0.733201i \(0.738025\pi\)
\(734\) 11.8313 + 20.4923i 0.436700 + 0.756386i
\(735\) −6.34163 0.462026i −0.233915 0.0170421i
\(736\) −2.22493 1.86694i −0.0820120 0.0688162i
\(737\) −5.47789 + 62.6125i −0.201781 + 2.30636i
\(738\) −16.3875 + 4.79394i −0.603231 + 0.176467i
\(739\) 11.4877 + 31.5622i 0.422582 + 1.16103i 0.950224 + 0.311567i \(0.100854\pi\)
−0.527642 + 0.849467i \(0.676924\pi\)
\(740\) −10.5487 + 8.90798i −0.387777 + 0.327464i
\(741\) 37.1020 23.2383i 1.36297 0.853680i
\(742\) −11.5477 11.5477i −0.423930 0.423930i
\(743\) −5.50639 2.56767i −0.202010 0.0941987i 0.318981 0.947761i \(-0.396659\pi\)
−0.520990 + 0.853563i \(0.674437\pi\)
\(744\) 6.46340 3.10411i 0.236960 0.113802i
\(745\) 7.37250 5.19686i 0.270108 0.190398i
\(746\) 16.8252 20.0515i 0.616013 0.734136i
\(747\) −41.6902 + 30.6314i −1.52536 + 1.12074i
\(748\) 20.4669 + 5.48409i 0.748344 + 0.200518i
\(749\) 21.6891 37.5666i 0.792502 1.37265i
\(750\) 19.3607 0.403147i 0.706954 0.0147209i
\(751\) −14.0849 5.12648i −0.513965 0.187068i 0.0719996 0.997405i \(-0.477062\pi\)
−0.585964 + 0.810337i \(0.699284\pi\)
\(752\) 0.142655 + 0.532397i 0.00520210 + 0.0194145i
\(753\) −18.1083 + 6.82562i −0.659904 + 0.248739i
\(754\) 20.4900 3.61294i 0.746202 0.131575i
\(755\) 8.25005 + 8.19839i 0.300250 + 0.298370i
\(756\) −6.55810 + 10.0829i −0.238516 + 0.366711i
\(757\) 9.45559 6.62087i 0.343669 0.240640i −0.388980 0.921246i \(-0.627172\pi\)
0.732649 + 0.680606i \(0.238284\pi\)
\(758\) −15.2865 7.12821i −0.555230 0.258908i
\(759\) −21.1447 + 15.1677i −0.767503 + 0.550554i
\(760\) −8.13590 5.36723i −0.295120 0.194690i
\(761\) 46.5945i 1.68905i 0.535518 + 0.844524i \(0.320116\pi\)
−0.535518 + 0.844524i \(0.679884\pi\)
\(762\) −10.6516 + 2.00362i −0.385868 + 0.0725834i
\(763\) −4.66601 6.66375i −0.168921 0.241244i
\(764\) −4.51865 + 3.79160i −0.163479 + 0.137175i
\(765\) 26.0564 + 8.72537i 0.942070 + 0.315467i
\(766\) −0.0365976 0.207555i −0.00132233 0.00749928i
\(767\) −19.7056 5.28011i −0.711530 0.190654i
\(768\) 1.09815 1.33943i 0.0396259 0.0483326i
\(769\) −0.628159 + 1.72585i −0.0226520 + 0.0622359i −0.950503 0.310715i \(-0.899432\pi\)
0.927851 + 0.372950i \(0.121654\pi\)
\(770\) −11.2391 + 24.3012i −0.405027 + 0.875754i
\(771\) 0.112334 + 1.13484i 0.00404559 + 0.0408703i
\(772\) −1.33155 + 4.96940i −0.0479234 + 0.178853i
\(773\) 24.1390 34.4741i 0.868221 1.23995i −0.101279 0.994858i \(-0.532294\pi\)