Properties

Label 690.2.n.a.89.13
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.13
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.0575173 + 1.73110i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.22287 - 1.87206i) q^{5} +(1.70529 - 0.303292i) q^{6} +(1.08447 - 0.696948i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.99338 + 0.199136i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.0575173 + 1.73110i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.22287 - 1.87206i) q^{5} +(1.70529 - 0.303292i) q^{6} +(1.08447 - 0.696948i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.99338 + 0.199136i) q^{9} +(-1.67897 + 1.47684i) q^{10} +(-0.894396 + 6.22066i) q^{11} +(-0.542893 - 1.64477i) q^{12} +(1.25371 - 1.95081i) q^{13} +(-0.844191 - 0.974248i) q^{14} +(3.17037 - 2.22458i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.0693233 - 0.236094i) q^{17} +(0.623112 + 2.93458i) q^{18} +(1.55224 + 5.28644i) q^{19} +(1.70075 + 1.45170i) q^{20} +(1.26886 + 1.83724i) q^{21} +6.28463 q^{22} +(-0.433107 + 4.77623i) q^{23} +(-1.55077 + 0.771443i) q^{24} +(-2.00918 + 4.57856i) q^{25} +(-2.10938 - 0.963320i) q^{26} +(-0.516895 - 5.17038i) q^{27} +(-0.844191 + 0.974248i) q^{28} +(1.83687 - 6.25580i) q^{29} +(-2.65313 - 2.82151i) q^{30} +(3.36003 + 7.35743i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-10.8200 - 1.19049i) q^{33} +(-0.243556 - 0.0350181i) q^{34} +(-2.63089 - 1.17792i) q^{35} +(2.81603 - 1.03440i) q^{36} +(0.444500 + 0.512980i) q^{37} +(5.01173 - 2.28878i) q^{38} +(3.44915 + 2.05809i) q^{39} +(1.19488 - 1.89004i) q^{40} +(2.46674 + 2.13745i) q^{41} +(1.63796 - 1.51741i) q^{42} +(-3.28717 + 7.19790i) q^{43} +(-0.894396 - 6.22066i) q^{44} +(4.03331 + 5.36026i) q^{45} +(4.78926 - 0.251030i) q^{46} -0.182036 q^{47} +(0.984288 + 1.42519i) q^{48} +(-2.21756 + 4.85578i) q^{49} +(4.81789 + 1.33713i) q^{50} +(0.412688 + 0.106426i) q^{51} +(-0.653319 + 2.22500i) q^{52} +(3.24409 + 5.04791i) q^{53} +(-5.04419 + 1.24746i) q^{54} +(12.7392 - 5.93270i) q^{55} +(1.08447 + 0.696948i) q^{56} +(-9.06206 + 2.99114i) q^{57} +(-6.45354 - 0.927879i) q^{58} +(-5.43699 + 8.46012i) q^{59} +(-2.41521 + 3.02766i) q^{60} +(2.48161 - 1.13331i) q^{61} +(6.80436 - 4.37290i) q^{62} +(-3.10745 + 2.30219i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-5.18515 + 0.0385728i) q^{65} +(0.361475 + 10.8793i) q^{66} +(0.138700 + 0.964679i) q^{67} +0.246061i q^{68} +(-8.29303 - 0.475033i) q^{69} +(-0.791511 + 2.77175i) q^{70} +(-7.87233 + 1.13187i) q^{71} +(-1.42464 - 2.64015i) q^{72} +(-2.31983 - 7.90061i) q^{73} +(0.444500 - 0.512980i) q^{74} +(-8.04148 - 3.21474i) q^{75} +(-2.97873 - 4.63499i) q^{76} +(3.36553 + 7.36948i) q^{77} +(1.54627 - 3.70694i) q^{78} +(-1.97047 + 3.06611i) q^{79} +(-2.04085 - 0.913740i) q^{80} +(8.92069 - 1.19218i) q^{81} +(1.76463 - 2.74583i) q^{82} +(1.81014 - 1.56849i) q^{83} +(-1.73507 - 1.40534i) q^{84} +(-0.526753 + 0.158934i) q^{85} +(7.59245 + 2.22934i) q^{86} +(10.9350 + 2.81998i) q^{87} +(-6.03006 + 1.77059i) q^{88} +(7.11816 - 15.5866i) q^{89} +(4.73170 - 4.75510i) q^{90} -2.98937i q^{91} +(-0.930058 - 4.70478i) q^{92} +(-12.5432 + 6.23971i) q^{93} +(0.0259065 + 0.180183i) q^{94} +(7.99833 - 9.37051i) q^{95} +(1.27061 - 1.17710i) q^{96} +(-5.26602 + 6.07732i) q^{97} +(5.12195 + 1.50394i) q^{98} +(1.43851 - 18.7989i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.0575173 + 1.73110i 0.0332077 + 0.999448i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.22287 1.87206i −0.546884 0.837208i
\(6\) 1.70529 0.303292i 0.696182 0.123819i
\(7\) 1.08447 0.696948i 0.409892 0.263422i −0.319406 0.947618i \(-0.603483\pi\)
0.729298 + 0.684196i \(0.239847\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −2.99338 + 0.199136i −0.997795 + 0.0663787i
\(10\) −1.67897 + 1.47684i −0.530936 + 0.467019i
\(11\) −0.894396 + 6.22066i −0.269671 + 1.87560i 0.181831 + 0.983330i \(0.441798\pi\)
−0.451501 + 0.892270i \(0.649111\pi\)
\(12\) −0.542893 1.64477i −0.156720 0.474804i
\(13\) 1.25371 1.95081i 0.347717 0.541058i −0.622710 0.782452i \(-0.713968\pi\)
0.970427 + 0.241395i \(0.0776048\pi\)
\(14\) −0.844191 0.974248i −0.225619 0.260379i
\(15\) 3.17037 2.22458i 0.818586 0.574384i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.0693233 0.236094i 0.0168134 0.0572611i −0.950659 0.310238i \(-0.899591\pi\)
0.967472 + 0.252977i \(0.0814096\pi\)
\(18\) 0.623112 + 2.93458i 0.146869 + 0.691686i
\(19\) 1.55224 + 5.28644i 0.356108 + 1.21279i 0.921633 + 0.388062i \(0.126855\pi\)
−0.565525 + 0.824731i \(0.691326\pi\)
\(20\) 1.70075 + 1.45170i 0.380300 + 0.324610i
\(21\) 1.26886 + 1.83724i 0.276888 + 0.400918i
\(22\) 6.28463 1.33989
\(23\) −0.433107 + 4.77623i −0.0903091 + 0.995914i
\(24\) −1.55077 + 0.771443i −0.316549 + 0.157470i
\(25\) −2.00918 + 4.57856i −0.401836 + 0.915712i
\(26\) −2.10938 0.963320i −0.413683 0.188923i
\(27\) −0.516895 5.17038i −0.0994765 0.995040i
\(28\) −0.844191 + 0.974248i −0.159537 + 0.184116i
\(29\) 1.83687 6.25580i 0.341098 1.16167i −0.593162 0.805083i \(-0.702121\pi\)
0.934261 0.356591i \(-0.116061\pi\)
\(30\) −2.65313 2.82151i −0.484393 0.515135i
\(31\) 3.36003 + 7.35743i 0.603479 + 1.32143i 0.926946 + 0.375195i \(0.122424\pi\)
−0.323467 + 0.946239i \(0.604849\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −10.8200 1.19049i −1.88352 0.207238i
\(34\) −0.243556 0.0350181i −0.0417695 0.00600555i
\(35\) −2.63089 1.17792i −0.444702 0.199104i
\(36\) 2.81603 1.03440i 0.469338 0.172401i
\(37\) 0.444500 + 0.512980i 0.0730753 + 0.0843334i 0.791110 0.611674i \(-0.209504\pi\)
−0.718035 + 0.696007i \(0.754958\pi\)
\(38\) 5.01173 2.28878i 0.813010 0.371289i
\(39\) 3.44915 + 2.05809i 0.552306 + 0.329558i
\(40\) 1.19488 1.89004i 0.188928 0.298842i
\(41\) 2.46674 + 2.13745i 0.385241 + 0.333813i 0.825854 0.563884i \(-0.190694\pi\)
−0.440613 + 0.897697i \(0.645239\pi\)
\(42\) 1.63796 1.51741i 0.252743 0.234142i
\(43\) −3.28717 + 7.19790i −0.501289 + 1.09767i 0.474759 + 0.880116i \(0.342535\pi\)
−0.976048 + 0.217554i \(0.930192\pi\)
\(44\) −0.894396 6.22066i −0.134835 0.937800i
\(45\) 4.03331 + 5.36026i 0.601250 + 0.799061i
\(46\) 4.78926 0.251030i 0.706137 0.0370124i
\(47\) −0.182036 −0.0265527 −0.0132764 0.999912i \(-0.504226\pi\)
−0.0132764 + 0.999912i \(0.504226\pi\)
\(48\) 0.984288 + 1.42519i 0.142070 + 0.205709i
\(49\) −2.21756 + 4.85578i −0.316795 + 0.693683i
\(50\) 4.81789 + 1.33713i 0.681353 + 0.189099i
\(51\) 0.412688 + 0.106426i 0.0577878 + 0.0149026i
\(52\) −0.653319 + 2.22500i −0.0905991 + 0.308552i
\(53\) 3.24409 + 5.04791i 0.445611 + 0.693384i 0.989299 0.145904i \(-0.0466089\pi\)
−0.543688 + 0.839287i \(0.682973\pi\)
\(54\) −5.04419 + 1.24746i −0.686427 + 0.169757i
\(55\) 12.7392 5.93270i 1.71775 0.799965i
\(56\) 1.08447 + 0.696948i 0.144919 + 0.0931336i
\(57\) −9.06206 + 2.99114i −1.20030 + 0.396186i
\(58\) −6.45354 0.927879i −0.847392 0.121837i
\(59\) −5.43699 + 8.46012i −0.707835 + 1.10141i 0.282030 + 0.959406i \(0.408992\pi\)
−0.989866 + 0.142008i \(0.954644\pi\)
\(60\) −2.41521 + 3.02766i −0.311802 + 0.390870i
\(61\) 2.48161 1.13331i 0.317738 0.145106i −0.250161 0.968204i \(-0.580484\pi\)
0.567899 + 0.823098i \(0.307756\pi\)
\(62\) 6.80436 4.37290i 0.864155 0.555359i
\(63\) −3.10745 + 2.30219i −0.391502 + 0.290049i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −5.18515 + 0.0385728i −0.643139 + 0.00478437i
\(66\) 0.361475 + 10.8793i 0.0444945 + 1.33915i
\(67\) 0.138700 + 0.964679i 0.0169449 + 0.117854i 0.996538 0.0831353i \(-0.0264934\pi\)
−0.979593 + 0.200990i \(0.935584\pi\)
\(68\) 0.246061i 0.0298392i
\(69\) −8.29303 0.475033i −0.998363 0.0571873i
\(70\) −0.791511 + 2.77175i −0.0946036 + 0.331287i
\(71\) −7.87233 + 1.13187i −0.934274 + 0.134328i −0.592606 0.805492i \(-0.701901\pi\)
−0.341668 + 0.939821i \(0.610992\pi\)
\(72\) −1.42464 2.64015i −0.167895 0.311145i
\(73\) −2.31983 7.90061i −0.271516 0.924697i −0.976508 0.215482i \(-0.930868\pi\)
0.704992 0.709215i \(-0.250950\pi\)
\(74\) 0.444500 0.512980i 0.0516720 0.0596327i
\(75\) −8.04148 3.21474i −0.928551 0.371206i
\(76\) −2.97873 4.63499i −0.341683 0.531670i
\(77\) 3.36553 + 7.36948i 0.383538 + 0.839831i
\(78\) 1.54627 3.70694i 0.175081 0.419728i
\(79\) −1.97047 + 3.06611i −0.221695 + 0.344964i −0.934229 0.356673i \(-0.883911\pi\)
0.712534 + 0.701637i \(0.247547\pi\)
\(80\) −2.04085 0.913740i −0.228174 0.102159i
\(81\) 8.92069 1.19218i 0.991188 0.132465i
\(82\) 1.76463 2.74583i 0.194871 0.303226i
\(83\) 1.81014 1.56849i 0.198688 0.172164i −0.549834 0.835274i \(-0.685309\pi\)
0.748522 + 0.663109i \(0.230764\pi\)
\(84\) −1.73507 1.40534i −0.189312 0.153335i
\(85\) −0.526753 + 0.158934i −0.0571344 + 0.0172389i
\(86\) 7.59245 + 2.22934i 0.818715 + 0.240396i
\(87\) 10.9350 + 2.81998i 1.17236 + 0.302334i
\(88\) −6.03006 + 1.77059i −0.642806 + 0.188745i
\(89\) 7.11816 15.5866i 0.754524 1.65218i −0.00353850 0.999994i \(-0.501126\pi\)
0.758062 0.652182i \(-0.226146\pi\)
\(90\) 4.73170 4.75510i 0.498765 0.501232i
\(91\) 2.98937i 0.313371i
\(92\) −0.930058 4.70478i −0.0969652 0.490508i
\(93\) −12.5432 + 6.23971i −1.30066 + 0.647027i
\(94\) 0.0259065 + 0.180183i 0.00267205 + 0.0185845i
\(95\) 7.99833 9.37051i 0.820611 0.961394i
\(96\) 1.27061 1.17710i 0.129681 0.120137i
\(97\) −5.26602 + 6.07732i −0.534684 + 0.617058i −0.957246 0.289276i \(-0.906585\pi\)
0.422562 + 0.906334i \(0.361131\pi\)
\(98\) 5.12195 + 1.50394i 0.517395 + 0.151921i
\(99\) 1.43851 18.7989i 0.144576 1.88936i
\(100\) 0.637866 4.95915i 0.0637866 0.495915i
\(101\) 8.69786 7.53674i 0.865469 0.749933i −0.104148 0.994562i \(-0.533211\pi\)
0.969617 + 0.244629i \(0.0786660\pi\)
\(102\) 0.0466110 0.423633i 0.00461517 0.0419459i
\(103\) 1.26519 8.79960i 0.124663 0.867050i −0.827501 0.561464i \(-0.810238\pi\)
0.952164 0.305586i \(-0.0988525\pi\)
\(104\) 2.29533 + 0.330019i 0.225076 + 0.0323610i
\(105\) 1.88776 4.62208i 0.184227 0.451069i
\(106\) 4.53485 3.92947i 0.440463 0.381664i
\(107\) 13.4769 6.15471i 1.30287 0.594999i 0.361495 0.932374i \(-0.382266\pi\)
0.941370 + 0.337375i \(0.109539\pi\)
\(108\) 1.95262 + 4.81532i 0.187891 + 0.463354i
\(109\) 2.90431 9.89119i 0.278183 0.947404i −0.695314 0.718706i \(-0.744735\pi\)
0.973497 0.228698i \(-0.0734469\pi\)
\(110\) −7.68528 11.7652i −0.732763 1.12177i
\(111\) −0.862451 + 0.798977i −0.0818602 + 0.0758355i
\(112\) 0.535518 1.17262i 0.0506017 0.110802i
\(113\) −3.59329 + 0.516638i −0.338029 + 0.0486012i −0.309239 0.950984i \(-0.600074\pi\)
−0.0287895 + 0.999585i \(0.509165\pi\)
\(114\) 4.25036 + 8.54414i 0.398083 + 0.800232i
\(115\) 9.47101 5.02991i 0.883176 0.469042i
\(116\) 6.51991i 0.605358i
\(117\) −3.36436 + 6.08919i −0.311035 + 0.562945i
\(118\) 9.14777 + 4.17765i 0.842120 + 0.384583i
\(119\) −0.0893657 0.304352i −0.00819214 0.0278999i
\(120\) 3.34057 + 1.95975i 0.304951 + 0.178900i
\(121\) −27.3423 8.02842i −2.48566 0.729856i
\(122\) −1.47495 2.29507i −0.133536 0.207785i
\(123\) −3.55824 + 4.39311i −0.320836 + 0.396113i
\(124\) −5.29675 6.11278i −0.475662 0.548943i
\(125\) 11.0283 1.83768i 0.986399 0.164367i
\(126\) 2.72099 + 2.74819i 0.242405 + 0.244828i
\(127\) −12.7204 1.82891i −1.12875 0.162290i −0.447461 0.894304i \(-0.647672\pi\)
−0.681290 + 0.732014i \(0.738581\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −12.6493 5.27640i −1.11371 0.464561i
\(130\) 0.776104 + 5.12688i 0.0680688 + 0.449657i
\(131\) −10.6094 16.5086i −0.926951 1.44236i −0.896608 0.442824i \(-0.853977\pi\)
−0.0303425 0.999540i \(-0.509660\pi\)
\(132\) 10.7171 1.90608i 0.932805 0.165903i
\(133\) 5.36774 + 4.65117i 0.465442 + 0.403308i
\(134\) 0.935121 0.274576i 0.0807822 0.0237198i
\(135\) −9.04714 + 7.29035i −0.778654 + 0.627454i
\(136\) 0.243556 0.0350181i 0.0208848 0.00300278i
\(137\) 7.93214i 0.677688i 0.940843 + 0.338844i \(0.110036\pi\)
−0.940843 + 0.338844i \(0.889964\pi\)
\(138\) 0.710023 + 8.27622i 0.0604412 + 0.704519i
\(139\) 7.60519 0.645064 0.322532 0.946559i \(-0.395466\pi\)
0.322532 + 0.946559i \(0.395466\pi\)
\(140\) 2.85618 + 0.388993i 0.241391 + 0.0328759i
\(141\) −0.0104702 0.315122i −0.000881754 0.0265381i
\(142\) 2.24070 + 7.63112i 0.188035 + 0.640389i
\(143\) 11.0140 + 9.54371i 0.921039 + 0.798085i
\(144\) −2.41053 + 1.78587i −0.200878 + 0.148822i
\(145\) −13.9575 + 4.21131i −1.15910 + 0.349730i
\(146\) −7.49005 + 3.42059i −0.619881 + 0.283090i
\(147\) −8.53337 3.55952i −0.703821 0.293584i
\(148\) −0.571017 0.366971i −0.0469373 0.0301648i
\(149\) 0.597972 4.15899i 0.0489878 0.340718i −0.950557 0.310550i \(-0.899487\pi\)
0.999545 0.0301676i \(-0.00960410\pi\)
\(150\) −2.03759 + 8.41714i −0.166369 + 0.687256i
\(151\) −3.33889 2.14577i −0.271715 0.174620i 0.397687 0.917521i \(-0.369813\pi\)
−0.669402 + 0.742901i \(0.733449\pi\)
\(152\) −4.16390 + 3.60804i −0.337737 + 0.292650i
\(153\) −0.160497 + 0.720523i −0.0129754 + 0.0582508i
\(154\) 6.81551 4.38006i 0.549209 0.352955i
\(155\) 9.66464 15.2873i 0.776283 1.22791i
\(156\) −3.88927 1.00298i −0.311391 0.0803028i
\(157\) 5.56583 1.63428i 0.444202 0.130429i −0.0519798 0.998648i \(-0.516553\pi\)
0.496182 + 0.868219i \(0.334735\pi\)
\(158\) 3.31532 + 1.51406i 0.263753 + 0.120452i
\(159\) −8.55182 + 5.90618i −0.678204 + 0.468391i
\(160\) −0.613996 + 2.15012i −0.0485406 + 0.169982i
\(161\) 2.85909 + 5.48155i 0.225328 + 0.432006i
\(162\) −2.44959 8.66022i −0.192458 0.680412i
\(163\) 7.37131 1.05983i 0.577365 0.0830126i 0.152555 0.988295i \(-0.451250\pi\)
0.424810 + 0.905282i \(0.360341\pi\)
\(164\) −2.96901 1.35590i −0.231841 0.105878i
\(165\) 11.0028 + 21.7115i 0.856566 + 1.69023i
\(166\) −1.81014 1.56849i −0.140494 0.121739i
\(167\) −21.9863 6.45577i −1.70135 0.499562i −0.720359 0.693601i \(-0.756023\pi\)
−0.980994 + 0.194039i \(0.937841\pi\)
\(168\) −1.14411 + 1.91741i −0.0882698 + 0.147932i
\(169\) 3.16652 + 6.93371i 0.243578 + 0.533362i
\(170\) 0.232282 + 0.498773i 0.0178152 + 0.0382542i
\(171\) −5.69917 15.5152i −0.435827 1.18648i
\(172\) 1.12613 7.83244i 0.0858670 0.597218i
\(173\) −2.83697 + 19.7316i −0.215691 + 1.50016i 0.538006 + 0.842941i \(0.319178\pi\)
−0.753697 + 0.657222i \(0.771732\pi\)
\(174\) 1.23506 11.2251i 0.0936294 0.850970i
\(175\) 1.01212 + 6.36561i 0.0765088 + 0.481195i
\(176\) 2.61073 + 5.71670i 0.196791 + 0.430913i
\(177\) −14.9580 8.92534i −1.12431 0.670870i
\(178\) −16.4410 4.82750i −1.23230 0.361837i
\(179\) 16.8971 + 14.6414i 1.26295 + 1.09435i 0.991254 + 0.131969i \(0.0421299\pi\)
0.271696 + 0.962383i \(0.412416\pi\)
\(180\) −5.38009 4.00682i −0.401009 0.298651i
\(181\) 4.91707 + 2.24555i 0.365483 + 0.166910i 0.589687 0.807632i \(-0.299251\pi\)
−0.224204 + 0.974542i \(0.571978\pi\)
\(182\) −2.95894 + 0.425432i −0.219332 + 0.0315351i
\(183\) 2.10461 + 4.23072i 0.155577 + 0.312744i
\(184\) −4.52454 + 1.59015i −0.333553 + 0.117228i
\(185\) 0.416762 1.45944i 0.0306409 0.107300i
\(186\) 7.96127 + 11.5275i 0.583749 + 0.845236i
\(187\) 1.40666 + 0.642398i 0.102865 + 0.0469768i
\(188\) 0.174663 0.0512856i 0.0127386 0.00374038i
\(189\) −4.16404 5.24688i −0.302890 0.381655i
\(190\) −10.4134 6.58335i −0.755468 0.477607i
\(191\) 19.6467 12.6261i 1.42158 0.913595i 0.421605 0.906780i \(-0.361467\pi\)
0.999977 0.00681553i \(-0.00216947\pi\)
\(192\) −1.34594 1.09016i −0.0971349 0.0786754i
\(193\) −4.12080 + 3.57070i −0.296622 + 0.257024i −0.790438 0.612542i \(-0.790147\pi\)
0.493816 + 0.869566i \(0.335602\pi\)
\(194\) 6.76489 + 4.34753i 0.485691 + 0.312135i
\(195\) −0.365009 8.97377i −0.0261389 0.642625i
\(196\) 0.759703 5.28385i 0.0542645 0.377418i
\(197\) 2.40604 + 1.54627i 0.171423 + 0.110167i 0.623539 0.781792i \(-0.285694\pi\)
−0.452116 + 0.891959i \(0.649331\pi\)
\(198\) −18.8123 + 1.25150i −1.33693 + 0.0889400i
\(199\) 12.8219 5.85556i 0.908919 0.415089i 0.0946055 0.995515i \(-0.469841\pi\)
0.814313 + 0.580426i \(0.197114\pi\)
\(200\) −4.99945 + 0.0743868i −0.353514 + 0.00525994i
\(201\) −1.66197 + 0.295589i −0.117227 + 0.0208492i
\(202\) −8.69786 7.53674i −0.611979 0.530283i
\(203\) −2.36794 8.06445i −0.166197 0.566013i
\(204\) −0.425955 + 0.0141528i −0.0298228 + 0.000990891i
\(205\) 0.984910 7.23170i 0.0687891 0.505083i
\(206\) −8.89009 −0.619402
\(207\) 0.345335 14.3833i 0.0240024 0.999712i
\(208\) 2.31893i 0.160789i
\(209\) −34.2735 + 4.92779i −2.37075 + 0.340862i
\(210\) −4.84369 1.21076i −0.334246 0.0835502i
\(211\) −20.6808 + 6.07243i −1.42372 + 0.418043i −0.900762 0.434313i \(-0.856991\pi\)
−0.522962 + 0.852356i \(0.675173\pi\)
\(212\) −4.53485 3.92947i −0.311455 0.269877i
\(213\) −2.41217 13.5627i −0.165279 0.929298i
\(214\) −8.01004 12.4639i −0.547555 0.852012i
\(215\) 17.4947 2.64833i 1.19313 0.180614i
\(216\) 4.48842 2.61804i 0.305398 0.178135i
\(217\) 8.77160 + 5.63717i 0.595455 + 0.382676i
\(218\) −10.2038 1.46709i −0.691091 0.0993639i
\(219\) 13.5433 4.47027i 0.915171 0.302073i
\(220\) −10.5517 + 9.28142i −0.711395 + 0.625753i
\(221\) −0.373663 0.431230i −0.0251353 0.0290076i
\(222\) 0.913584 + 0.739966i 0.0613157 + 0.0496633i
\(223\) 3.09550 + 4.81670i 0.207290 + 0.322550i 0.929295 0.369338i \(-0.120416\pi\)
−0.722005 + 0.691888i \(0.756779\pi\)
\(224\) −1.23690 0.363186i −0.0826436 0.0242664i
\(225\) 5.10249 14.1055i 0.340166 0.940365i
\(226\) 1.02276 + 3.48319i 0.0680329 + 0.231699i
\(227\) 3.34827 + 1.52911i 0.222233 + 0.101490i 0.523420 0.852075i \(-0.324656\pi\)
−0.301188 + 0.953565i \(0.597383\pi\)
\(228\) 7.85228 5.42305i 0.520030 0.359151i
\(229\) 15.5478i 1.02743i 0.857961 + 0.513714i \(0.171731\pi\)
−0.857961 + 0.513714i \(0.828269\pi\)
\(230\) −6.32658 8.65878i −0.417162 0.570943i
\(231\) −12.5637 + 6.24993i −0.826631 + 0.411215i
\(232\) 6.45354 0.927879i 0.423696 0.0609183i
\(233\) −6.70270 + 14.6769i −0.439108 + 0.961513i 0.552653 + 0.833412i \(0.313616\pi\)
−0.991761 + 0.128101i \(0.959112\pi\)
\(234\) 6.50601 + 2.46353i 0.425311 + 0.161046i
\(235\) 0.222607 + 0.340782i 0.0145213 + 0.0222302i
\(236\) 2.83326 9.64920i 0.184430 0.628109i
\(237\) −5.42106 3.23471i −0.352136 0.210117i
\(238\) −0.288536 + 0.131770i −0.0187030 + 0.00854137i
\(239\) −14.7856 + 12.8118i −0.956398 + 0.828724i −0.985296 0.170858i \(-0.945346\pi\)
0.0288972 + 0.999582i \(0.490800\pi\)
\(240\) 1.46439 3.58547i 0.0945257 0.231441i
\(241\) −8.77817 1.26211i −0.565452 0.0812997i −0.146340 0.989234i \(-0.546749\pi\)
−0.419112 + 0.907935i \(0.637658\pi\)
\(242\) −4.05549 + 28.2065i −0.260697 + 1.81318i
\(243\) 2.57687 + 15.3740i 0.165307 + 0.986242i
\(244\) −2.06180 + 1.78656i −0.131993 + 0.114373i
\(245\) 11.8021 1.78659i 0.754007 0.114141i
\(246\) 4.85478 + 2.89682i 0.309530 + 0.184694i
\(247\) 12.2589 + 3.59954i 0.780016 + 0.229033i
\(248\) −5.29675 + 6.11278i −0.336344 + 0.388162i
\(249\) 2.81933 + 3.04331i 0.178667 + 0.192862i
\(250\) −3.38846 10.6545i −0.214305 0.673850i
\(251\) −1.86497 12.9712i −0.117716 0.818734i −0.960060 0.279794i \(-0.909734\pi\)
0.842344 0.538940i \(-0.181175\pi\)
\(252\) 2.33298 3.08441i 0.146964 0.194299i
\(253\) −29.3240 6.96606i −1.84358 0.437952i
\(254\) 12.8512i 0.806355i
\(255\) −0.305428 0.902719i −0.0191267 0.0565305i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 0.0327583 0.00961870i 0.00204341 0.000599998i −0.280711 0.959792i \(-0.590570\pi\)
0.282754 + 0.959192i \(0.408752\pi\)
\(258\) −3.42251 + 13.2715i −0.213076 + 0.826247i
\(259\) 0.839568 + 0.246519i 0.0521682 + 0.0153180i
\(260\) 4.96425 1.49784i 0.307870 0.0928919i
\(261\) −4.25270 + 19.0918i −0.263236 + 1.18175i
\(262\) −14.8307 + 12.8509i −0.916243 + 0.793929i
\(263\) 0.153594 0.238997i 0.00947100 0.0147372i −0.836486 0.547989i \(-0.815394\pi\)
0.845957 + 0.533251i \(0.179030\pi\)
\(264\) −3.41189 10.3368i −0.209987 0.636184i
\(265\) 5.48286 12.2461i 0.336810 0.752269i
\(266\) 3.83992 5.97503i 0.235441 0.366353i
\(267\) 27.3913 + 11.4257i 1.67632 + 0.699243i
\(268\) −0.404863 0.886527i −0.0247310 0.0541532i
\(269\) 13.2214 + 20.5729i 0.806123 + 1.25435i 0.963738 + 0.266851i \(0.0859830\pi\)
−0.157615 + 0.987501i \(0.550381\pi\)
\(270\) 8.50369 + 7.91753i 0.517518 + 0.481845i
\(271\) 0.830102 0.957988i 0.0504251 0.0581936i −0.729977 0.683472i \(-0.760469\pi\)
0.780402 + 0.625278i \(0.215015\pi\)
\(272\) −0.0693233 0.236094i −0.00420334 0.0143153i
\(273\) 5.17489 0.171941i 0.313199 0.0104063i
\(274\) 7.85140 1.12886i 0.474320 0.0681970i
\(275\) −26.6847 16.5935i −1.60915 1.00062i
\(276\) 8.09094 1.88063i 0.487017 0.113200i
\(277\) 28.7488i 1.72735i −0.504050 0.863675i \(-0.668157\pi\)
0.504050 0.863675i \(-0.331843\pi\)
\(278\) −1.08233 7.52778i −0.0649139 0.451486i
\(279\) −11.5230 21.3545i −0.689863 1.27846i
\(280\) −0.0214429 2.88247i −0.00128146 0.172260i
\(281\) 8.76713 10.1178i 0.523003 0.603577i −0.431377 0.902172i \(-0.641972\pi\)
0.954380 + 0.298594i \(0.0965177\pi\)
\(282\) −0.310425 + 0.0552102i −0.0184855 + 0.00328772i
\(283\) −11.5584 + 7.42815i −0.687077 + 0.441558i −0.837046 0.547133i \(-0.815719\pi\)
0.149968 + 0.988691i \(0.452083\pi\)
\(284\) 7.23456 3.30391i 0.429292 0.196051i
\(285\) 16.6813 + 13.3069i 0.988115 + 0.788233i
\(286\) 7.87911 12.2601i 0.465901 0.724957i
\(287\) 4.16480 + 0.598808i 0.245841 + 0.0353465i
\(288\) 2.11075 + 2.13184i 0.124377 + 0.125620i
\(289\) 14.2504 + 9.15816i 0.838257 + 0.538715i
\(290\) 6.15480 + 13.2161i 0.361422 + 0.776074i
\(291\) −10.8233 8.76644i −0.634473 0.513898i
\(292\) 4.45172 + 6.92701i 0.260517 + 0.405373i
\(293\) 6.72038 22.8875i 0.392609 1.33710i −0.491930 0.870635i \(-0.663708\pi\)
0.884538 0.466467i \(-0.154474\pi\)
\(294\) −2.30886 + 8.95309i −0.134656 + 0.522155i
\(295\) 22.4865 0.167279i 1.30922 0.00973938i
\(296\) −0.281971 + 0.617431i −0.0163892 + 0.0358874i
\(297\) 32.6255 + 1.40894i 1.89312 + 0.0817549i
\(298\) −4.20175 −0.243401
\(299\) 8.77454 + 6.83293i 0.507445 + 0.395158i
\(300\) 8.62144 + 0.818970i 0.497759 + 0.0472832i
\(301\) 1.45172 + 10.0969i 0.0836756 + 0.581976i
\(302\) −1.64876 + 3.61028i −0.0948753 + 0.207748i
\(303\) 13.5471 + 14.6233i 0.778260 + 0.840088i
\(304\) 4.16390 + 3.60804i 0.238816 + 0.206935i
\(305\) −5.15631 3.25982i −0.295250 0.186657i
\(306\) 0.736030 + 0.0563218i 0.0420761 + 0.00321970i
\(307\) 11.3141 5.16696i 0.645728 0.294894i −0.0655033 0.997852i \(-0.520865\pi\)
0.711231 + 0.702958i \(0.248138\pi\)
\(308\) −5.30543 6.12279i −0.302305 0.348878i
\(309\) 15.3057 + 1.68404i 0.870712 + 0.0958015i
\(310\) −16.5072 7.39066i −0.937543 0.419761i
\(311\) −12.5793 1.80863i −0.713305 0.102558i −0.223897 0.974613i \(-0.571878\pi\)
−0.489408 + 0.872055i \(0.662787\pi\)
\(312\) −0.439273 + 3.99242i −0.0248689 + 0.226026i
\(313\) 1.20283 + 1.38814i 0.0679879 + 0.0784622i 0.788725 0.614747i \(-0.210742\pi\)
−0.720737 + 0.693209i \(0.756196\pi\)
\(314\) −2.40974 5.27660i −0.135990 0.297776i
\(315\) 8.10984 + 3.00205i 0.456938 + 0.169146i
\(316\) 1.02683 3.49705i 0.0577635 0.196724i
\(317\) 0.159009 0.183506i 0.00893083 0.0103067i −0.751267 0.659999i \(-0.770557\pi\)
0.760197 + 0.649692i \(0.225102\pi\)
\(318\) 7.06312 + 7.62424i 0.396080 + 0.427546i
\(319\) 37.2724 + 17.0217i 2.08685 + 0.953033i
\(320\) 2.21561 + 0.301752i 0.123857 + 0.0168685i
\(321\) 11.4296 + 22.9759i 0.637936 + 1.28239i
\(322\) 5.01886 3.61010i 0.279690 0.201183i
\(323\) 1.35570 0.0754333
\(324\) −8.22346 + 3.65714i −0.456859 + 0.203174i
\(325\) 6.41297 + 9.65972i 0.355728 + 0.535825i
\(326\) −2.09809 7.14545i −0.116203 0.395750i
\(327\) 17.2896 + 4.45873i 0.956119 + 0.246568i
\(328\) −0.919566 + 3.13176i −0.0507746 + 0.172922i
\(329\) −0.197413 + 0.126870i −0.0108837 + 0.00699456i
\(330\) 19.9246 13.9807i 1.09681 0.769610i
\(331\) −7.53043 8.69058i −0.413910 0.477677i 0.510062 0.860138i \(-0.329622\pi\)
−0.923972 + 0.382460i \(0.875077\pi\)
\(332\) −1.29492 + 2.01493i −0.0710679 + 0.110584i
\(333\) −1.43271 1.44703i −0.0785121 0.0792967i
\(334\) −3.26108 + 22.6813i −0.178438 + 1.24107i
\(335\) 1.63632 1.43933i 0.0894018 0.0786390i
\(336\) 2.06072 + 0.859586i 0.112421 + 0.0468943i
\(337\) 11.1770 + 24.4741i 0.608848 + 1.33319i 0.923359 + 0.383938i \(0.125432\pi\)
−0.314511 + 0.949254i \(0.601840\pi\)
\(338\) 6.41249 4.12106i 0.348794 0.224156i
\(339\) −1.10103 6.19062i −0.0597995 0.336228i
\(340\) 0.460639 0.300900i 0.0249817 0.0163186i
\(341\) −48.7733 + 14.3211i −2.64122 + 0.775533i
\(342\) −14.5463 + 7.84921i −0.786571 + 0.424437i
\(343\) 2.26356 + 15.7434i 0.122221 + 0.850066i
\(344\) −7.91298 −0.426639
\(345\) 9.25200 + 16.1059i 0.498111 + 0.867113i
\(346\) 19.9345 1.07168
\(347\) −4.13815 28.7814i −0.222147 1.54507i −0.729893 0.683561i \(-0.760430\pi\)
0.507746 0.861507i \(-0.330479\pi\)
\(348\) −11.2866 + 0.375008i −0.605024 + 0.0201025i
\(349\) 24.8039 7.28308i 1.32772 0.389854i 0.460449 0.887686i \(-0.347688\pi\)
0.867274 + 0.497832i \(0.165870\pi\)
\(350\) 6.15678 1.90774i 0.329094 0.101973i
\(351\) −10.7345 5.47379i −0.572964 0.292169i
\(352\) 5.28697 3.39773i 0.281796 0.181100i
\(353\) 15.1427 + 33.1580i 0.805967 + 1.76482i 0.623851 + 0.781544i \(0.285567\pi\)
0.182116 + 0.983277i \(0.441705\pi\)
\(354\) −6.70575 + 16.0759i −0.356407 + 0.854427i
\(355\) 11.7458 + 13.3533i 0.623400 + 0.708720i
\(356\) −2.43857 + 16.9606i −0.129244 + 0.898913i
\(357\) 0.521722 0.172206i 0.0276124 0.00911411i
\(358\) 12.0877 18.8088i 0.638855 0.994077i
\(359\) −19.8702 22.9315i −1.04871 1.21028i −0.977086 0.212844i \(-0.931727\pi\)
−0.0716239 0.997432i \(-0.522818\pi\)
\(360\) −3.20037 + 5.89556i −0.168674 + 0.310723i
\(361\) −9.55323 + 6.13949i −0.502802 + 0.323131i
\(362\) 1.52292 5.18659i 0.0800429 0.272601i
\(363\) 12.3253 47.7939i 0.646910 2.50853i
\(364\) 0.842203 + 2.86828i 0.0441435 + 0.150339i
\(365\) −11.9535 + 14.0043i −0.625677 + 0.733017i
\(366\) 3.88814 2.68528i 0.203236 0.140362i
\(367\) −30.6724 −1.60109 −0.800543 0.599275i \(-0.795456\pi\)
−0.800543 + 0.599275i \(0.795456\pi\)
\(368\) 2.21787 + 4.25218i 0.115615 + 0.221660i
\(369\) −7.80955 5.90698i −0.406549 0.307505i
\(370\) −1.50389 0.204820i −0.0781836 0.0106481i
\(371\) 7.03626 + 3.21335i 0.365305 + 0.166829i
\(372\) 10.2771 9.52077i 0.532845 0.493629i
\(373\) 7.37935 8.51622i 0.382088 0.440953i −0.531830 0.846851i \(-0.678496\pi\)
0.913919 + 0.405898i \(0.133041\pi\)
\(374\) 0.435671 1.48376i 0.0225280 0.0767234i
\(375\) 3.81552 + 18.9853i 0.197033 + 0.980397i
\(376\) −0.0756206 0.165586i −0.00389984 0.00853945i
\(377\) −9.90099 11.4264i −0.509927 0.588487i
\(378\) −4.60087 + 4.86837i −0.236643 + 0.250402i
\(379\) 18.8303 + 2.70738i 0.967246 + 0.139069i 0.607794 0.794095i \(-0.292055\pi\)
0.359452 + 0.933164i \(0.382964\pi\)
\(380\) −5.03436 + 11.2443i −0.258257 + 0.576822i
\(381\) 2.43438 22.1254i 0.124717 1.13352i
\(382\) −15.2936 17.6498i −0.782490 0.903042i
\(383\) −17.6547 + 8.06263i −0.902113 + 0.411981i −0.811802 0.583932i \(-0.801513\pi\)
−0.0903107 + 0.995914i \(0.528786\pi\)
\(384\) −0.887514 + 1.48739i −0.0452908 + 0.0759029i
\(385\) 9.68047 15.3124i 0.493363 0.780391i
\(386\) 4.12080 + 3.57070i 0.209743 + 0.181744i
\(387\) 8.40640 22.2007i 0.427322 1.12852i
\(388\) 3.34054 7.31475i 0.169590 0.371350i
\(389\) 0.957239 + 6.65775i 0.0485340 + 0.337561i 0.999592 + 0.0285499i \(0.00908896\pi\)
−0.951058 + 0.309011i \(0.900002\pi\)
\(390\) −8.83049 + 1.63840i −0.447149 + 0.0829634i
\(391\) 1.09761 + 0.433358i 0.0555087 + 0.0219159i
\(392\) −5.33818 −0.269619
\(393\) 27.9678 19.3155i 1.41079 0.974337i
\(394\) 1.18811 2.60161i 0.0598564 0.131067i
\(395\) 8.14954 0.0606252i 0.410048 0.00305038i
\(396\) 3.91603 + 18.4427i 0.196788 + 0.926782i
\(397\) −3.69826 + 12.5951i −0.185610 + 0.632131i 0.813136 + 0.582074i \(0.197759\pi\)
−0.998746 + 0.0500572i \(0.984060\pi\)
\(398\) −7.62070 11.8580i −0.381991 0.594390i
\(399\) −7.74289 + 9.55959i −0.387629 + 0.478578i
\(400\) 0.785125 + 4.93797i 0.0392563 + 0.246899i
\(401\) 18.6090 + 11.9593i 0.929289 + 0.597218i 0.915339 0.402685i \(-0.131923\pi\)
0.0139502 + 0.999903i \(0.495559\pi\)
\(402\) 0.529104 + 1.60299i 0.0263893 + 0.0799499i
\(403\) 18.5655 + 2.66931i 0.924812 + 0.132968i
\(404\) −6.22219 + 9.68191i −0.309565 + 0.481693i
\(405\) −13.1407 15.2421i −0.652965 0.757388i
\(406\) −7.64537 + 3.49152i −0.379433 + 0.173281i
\(407\) −3.58863 + 2.30627i −0.177882 + 0.114318i
\(408\) 0.0746284 + 0.419605i 0.00369465 + 0.0207735i
\(409\) 1.77718 2.05098i 0.0878759 0.101414i −0.710109 0.704092i \(-0.751354\pi\)
0.797985 + 0.602678i \(0.205900\pi\)
\(410\) −7.29825 + 0.0542924i −0.360435 + 0.00268131i
\(411\) −13.7313 + 0.456235i −0.677314 + 0.0225044i
\(412\) 1.26519 + 8.79960i 0.0623315 + 0.433525i
\(413\) 12.9641i 0.637920i
\(414\) −14.2861 + 1.70514i −0.702123 + 0.0838033i
\(415\) −5.14987 1.47061i −0.252797 0.0721896i
\(416\) −2.29533 + 0.330019i −0.112538 + 0.0161805i
\(417\) 0.437431 + 13.1653i 0.0214211 + 0.644708i
\(418\) 9.75526 + 33.2234i 0.477145 + 1.62501i
\(419\) 3.90481 4.50640i 0.190763 0.220152i −0.652309 0.757953i \(-0.726200\pi\)
0.843072 + 0.537801i \(0.180745\pi\)
\(420\) −0.509105 + 4.96670i −0.0248418 + 0.242350i
\(421\) −0.630107 0.980466i −0.0307095 0.0477850i 0.825559 0.564315i \(-0.190860\pi\)
−0.856269 + 0.516530i \(0.827223\pi\)
\(422\) 8.95380 + 19.6061i 0.435864 + 0.954409i
\(423\) 0.544904 0.0362500i 0.0264942 0.00176253i
\(424\) −3.24409 + 5.04791i −0.157547 + 0.245148i
\(425\) 0.941685 + 0.791755i 0.0456784 + 0.0384058i
\(426\) −13.0813 + 4.31779i −0.633792 + 0.209197i
\(427\) 1.90138 2.95860i 0.0920142 0.143177i
\(428\) −11.1970 + 9.70230i −0.541230 + 0.468978i
\(429\) −15.8876 + 19.6153i −0.767059 + 0.947034i
\(430\) −5.11112 16.9397i −0.246480 0.816904i
\(431\) 2.76353 + 0.811446i 0.133115 + 0.0390860i 0.347611 0.937639i \(-0.386993\pi\)
−0.214497 + 0.976725i \(0.568811\pi\)
\(432\) −3.23016 4.07015i −0.155411 0.195825i
\(433\) 19.7842 5.80915i 0.950766 0.279170i 0.230660 0.973034i \(-0.425911\pi\)
0.720106 + 0.693864i \(0.244093\pi\)
\(434\) 4.33146 9.48457i 0.207917 0.455274i
\(435\) −8.09298 23.9195i −0.388029 1.14685i
\(436\) 10.3088i 0.493700i
\(437\) −25.9216 + 5.12427i −1.24000 + 0.245127i
\(438\) −6.35218 12.7693i −0.303519 0.610138i
\(439\) 2.54426 + 17.6957i 0.121431 + 0.844571i 0.955937 + 0.293572i \(0.0948441\pi\)
−0.834506 + 0.550999i \(0.814247\pi\)
\(440\) 10.6886 + 9.12341i 0.509559 + 0.434941i
\(441\) 5.67105 14.9768i 0.270050 0.713182i
\(442\) −0.373663 + 0.431230i −0.0177733 + 0.0205115i
\(443\) −19.8673 5.83357i −0.943924 0.277161i −0.226669 0.973972i \(-0.572784\pi\)
−0.717255 + 0.696811i \(0.754602\pi\)
\(444\) 0.602418 1.00959i 0.0285895 0.0479132i
\(445\) −37.8836 + 5.73479i −1.79585 + 0.271855i
\(446\) 4.32713 3.74948i 0.204896 0.177543i
\(447\) 7.23400 + 0.795933i 0.342156 + 0.0376463i
\(448\) −0.183460 + 1.27599i −0.00866768 + 0.0602850i
\(449\) 27.5767 + 3.96493i 1.30142 + 0.187116i 0.757952 0.652311i \(-0.226200\pi\)
0.543472 + 0.839427i \(0.317109\pi\)
\(450\) −14.6881 3.04314i −0.692402 0.143455i
\(451\) −15.5026 + 13.4331i −0.729987 + 0.632538i
\(452\) 3.30219 1.50806i 0.155322 0.0709331i
\(453\) 3.52249 5.90335i 0.165501 0.277364i
\(454\) 1.03703 3.53181i 0.0486703 0.165756i
\(455\) −5.59627 + 3.65561i −0.262357 + 0.171378i
\(456\) −6.48535 7.00058i −0.303704 0.327832i
\(457\) 12.6846 27.7754i 0.593361 1.29928i −0.340029 0.940415i \(-0.610437\pi\)
0.933390 0.358864i \(-0.116836\pi\)
\(458\) 15.3896 2.21268i 0.719107 0.103392i
\(459\) −1.25653 0.236392i −0.0586496 0.0110338i
\(460\) −7.67028 + 7.49446i −0.357628 + 0.349431i
\(461\) 1.99913i 0.0931087i 0.998916 + 0.0465543i \(0.0148241\pi\)
−0.998916 + 0.0465543i \(0.985176\pi\)
\(462\) 7.97431 + 11.5464i 0.370999 + 0.537186i
\(463\) −33.3228 15.2180i −1.54864 0.707240i −0.556324 0.830966i \(-0.687789\pi\)
−0.992316 + 0.123725i \(0.960516\pi\)
\(464\) −1.83687 6.25580i −0.0852745 0.290418i
\(465\) 27.0197 + 15.8511i 1.25301 + 0.735079i
\(466\) 15.4814 + 4.54574i 0.717160 + 0.210577i
\(467\) 7.72391 + 12.0186i 0.357420 + 0.556157i 0.972675 0.232172i \(-0.0745832\pi\)
−0.615255 + 0.788328i \(0.710947\pi\)
\(468\) 1.51256 6.79038i 0.0699180 0.313885i
\(469\) 0.822748 + 0.949501i 0.0379910 + 0.0438439i
\(470\) 0.305633 0.268839i 0.0140978 0.0124006i
\(471\) 3.14922 + 9.54099i 0.145108 + 0.439626i
\(472\) −9.95420 1.43120i −0.458179 0.0658762i
\(473\) −41.8357 26.8862i −1.92361 1.23623i
\(474\) −2.43029 + 5.82623i −0.111627 + 0.267607i
\(475\) −27.3230 3.51440i −1.25367 0.161252i
\(476\) 0.171492 + 0.266846i 0.00786030 + 0.0122309i
\(477\) −10.7160 14.4643i −0.490654 0.662276i
\(478\) 14.7856 + 12.8118i 0.676276 + 0.585996i
\(479\) 28.4537 8.35476i 1.30008 0.381739i 0.442817 0.896612i \(-0.353979\pi\)
0.857266 + 0.514873i \(0.172161\pi\)
\(480\) −3.75738 0.939216i −0.171500 0.0428692i
\(481\) 1.55800 0.224007i 0.0710387 0.0102138i
\(482\) 8.86844i 0.403946i
\(483\) −9.32463 + 5.26465i −0.424286 + 0.239550i
\(484\) 28.4966 1.29530
\(485\) 17.8167 + 2.42652i 0.809016 + 0.110183i
\(486\) 14.8508 4.73859i 0.673645 0.214947i
\(487\) −0.555668 1.89243i −0.0251797 0.0857542i 0.945945 0.324328i \(-0.105138\pi\)
−0.971124 + 0.238574i \(0.923320\pi\)
\(488\) 2.06180 + 1.78656i 0.0933332 + 0.0808737i
\(489\) 2.25865 + 12.6995i 0.102140 + 0.574290i
\(490\) −3.44802 11.4277i −0.155766 0.516251i
\(491\) −4.38831 + 2.00408i −0.198042 + 0.0904426i −0.511967 0.859005i \(-0.671083\pi\)
0.313925 + 0.949448i \(0.398356\pi\)
\(492\) 2.17643 5.21763i 0.0981208 0.235229i
\(493\) −1.34962 0.867346i −0.0607837 0.0390633i
\(494\) 1.81828 12.6464i 0.0818082 0.568989i
\(495\) −36.9518 + 20.2957i −1.66086 + 0.912222i
\(496\) 6.80436 + 4.37290i 0.305525 + 0.196349i
\(497\) −7.74847 + 6.71409i −0.347566 + 0.301168i
\(498\) 2.61110 3.22374i 0.117006 0.144459i
\(499\) 12.1326 7.79717i 0.543131 0.349049i −0.240131 0.970740i \(-0.577190\pi\)
0.783262 + 0.621691i \(0.213554\pi\)
\(500\) −10.0638 + 4.87027i −0.450068 + 0.217805i
\(501\) 9.91096 38.4318i 0.442789 1.71700i
\(502\) −12.5737 + 3.69198i −0.561193 + 0.164781i
\(503\) 34.2837 + 15.6568i 1.52863 + 0.698103i 0.989555 0.144153i \(-0.0460458\pi\)
0.539077 + 0.842256i \(0.318773\pi\)
\(504\) −3.38503 1.87028i −0.150781 0.0833087i
\(505\) −24.7455 7.06642i −1.10116 0.314452i
\(506\) −2.72192 + 30.0169i −0.121004 + 1.33441i
\(507\) −11.8208 + 5.88036i −0.524979 + 0.261156i
\(508\) 12.7204 1.82891i 0.564375 0.0811449i
\(509\) 15.2350 + 6.95758i 0.675279 + 0.308389i 0.723377 0.690453i \(-0.242589\pi\)
−0.0480985 + 0.998843i \(0.515316\pi\)
\(510\) −0.850064 + 0.430790i −0.0376415 + 0.0190757i
\(511\) −8.02211 6.95120i −0.354877 0.307503i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 26.5306 10.7582i 1.17135 0.474986i
\(514\) −0.0141828 0.0310560i −0.000625576 0.00136982i
\(515\) −18.0205 + 8.39225i −0.794078 + 0.369807i
\(516\) 13.6235 + 1.49895i 0.599740 + 0.0659874i
\(517\) 0.162813 1.13239i 0.00716049 0.0498023i
\(518\) 0.124527 0.866106i 0.00547141 0.0380545i
\(519\) −34.3204 3.77616i −1.50650 0.165755i
\(520\) −2.18908 4.70056i −0.0959974 0.206133i
\(521\) −1.98564 4.34794i −0.0869924 0.190487i 0.861136 0.508375i \(-0.169754\pi\)
−0.948128 + 0.317888i \(0.897026\pi\)
\(522\) 19.5027 + 1.49237i 0.853610 + 0.0653191i
\(523\) 13.9264 + 4.08917i 0.608960 + 0.178807i 0.571651 0.820497i \(-0.306303\pi\)
0.0373093 + 0.999304i \(0.488121\pi\)
\(524\) 14.8307 + 12.8509i 0.647882 + 0.561393i
\(525\) −10.9613 + 2.11820i −0.478389 + 0.0924460i
\(526\) −0.258423 0.118018i −0.0112678 0.00514581i
\(527\) 1.96997 0.283239i 0.0858133 0.0123381i
\(528\) −9.74599 + 4.84823i −0.424140 + 0.210992i
\(529\) −22.6248 4.13724i −0.983689 0.179880i
\(530\) −12.9017 3.68426i −0.560414 0.160034i
\(531\) 14.5903 26.4071i 0.633164 1.14597i
\(532\) −6.46069 2.95050i −0.280107 0.127920i
\(533\) 7.26233 2.13241i 0.314567 0.0923651i
\(534\) 7.41123 28.7386i 0.320715 1.24364i
\(535\) −28.0025 17.7032i −1.21065 0.765375i
\(536\) −0.819885 + 0.526908i −0.0354136 + 0.0227590i
\(537\) −24.3738 + 30.0927i −1.05181 + 1.29859i
\(538\) 18.4819 16.0146i 0.796811 0.690440i
\(539\) −28.2228 18.1377i −1.21564 0.781246i
\(540\) 6.62674 9.54392i 0.285169 0.410705i
\(541\) 2.93302 20.3996i 0.126101 0.877048i −0.824330 0.566110i \(-0.808448\pi\)
0.950430 0.310938i \(-0.100643\pi\)
\(542\) −1.06637 0.685316i −0.0458046 0.0294369i
\(543\) −3.60444 + 8.64107i −0.154681 + 0.370824i
\(544\) −0.223825 + 0.102217i −0.00959640 + 0.00438253i
\(545\) −22.0684 + 6.65859i −0.945308 + 0.285223i
\(546\) −0.906654 5.09775i −0.0388012 0.218163i
\(547\) 4.68351 + 4.05828i 0.200252 + 0.173520i 0.749214 0.662328i \(-0.230431\pi\)
−0.548962 + 0.835847i \(0.684977\pi\)
\(548\) −2.23474 7.61083i −0.0954634 0.325119i
\(549\) −7.20273 + 3.88662i −0.307405 + 0.165877i
\(550\) −12.6270 + 28.7745i −0.538415 + 1.22695i
\(551\) 35.9222 1.53034
\(552\) −3.01294 7.74094i −0.128239 0.329476i
\(553\) 4.69842i 0.199797i
\(554\) −28.4562 + 4.09138i −1.20899 + 0.173826i
\(555\) 2.55039 + 0.637511i 0.108258 + 0.0270608i
\(556\) −7.29713 + 2.14263i −0.309467 + 0.0908678i
\(557\) −0.332356 0.287988i −0.0140824 0.0122024i 0.647791 0.761818i \(-0.275693\pi\)
−0.661873 + 0.749616i \(0.730238\pi\)
\(558\) −19.4973 + 14.4448i −0.825385 + 0.611495i
\(559\) 9.92059 + 15.4367i 0.419596 + 0.652904i
\(560\) −2.85008 + 0.431443i −0.120438 + 0.0182318i
\(561\) −1.03115 + 2.47200i −0.0435350 + 0.104368i
\(562\) −11.2625 7.23798i −0.475080 0.305316i
\(563\) −30.8547 4.43624i −1.30037 0.186965i −0.542880 0.839810i \(-0.682666\pi\)
−0.757492 + 0.652845i \(0.773575\pi\)
\(564\) 0.0988263 + 0.299408i 0.00416134 + 0.0126073i
\(565\) 5.36130 + 6.09506i 0.225552 + 0.256421i
\(566\) 8.99748 + 10.3836i 0.378192 + 0.436457i
\(567\) 8.84335 7.51014i 0.371386 0.315396i
\(568\) −4.29987 6.69073i −0.180419 0.280737i
\(569\) −15.1172 4.43880i −0.633745 0.186084i −0.0509468 0.998701i \(-0.516224\pi\)
−0.582798 + 0.812617i \(0.698042\pi\)
\(570\) 10.7975 18.4053i 0.452256 0.770912i
\(571\) 10.4927 + 35.7349i 0.439106 + 1.49546i 0.820825 + 0.571180i \(0.193514\pi\)
−0.381719 + 0.924278i \(0.624668\pi\)
\(572\) −13.2567 6.05411i −0.554289 0.253135i
\(573\) 22.9871 + 33.2840i 0.960299 + 1.39046i
\(574\) 4.20763i 0.175623i
\(575\) −20.9981 11.5793i −0.875680 0.482891i
\(576\) 1.80975 2.39265i 0.0754063 0.0996939i
\(577\) −15.4156 + 2.21643i −0.641761 + 0.0922713i −0.455510 0.890231i \(-0.650543\pi\)
−0.186251 + 0.982502i \(0.559634\pi\)
\(578\) 7.03690 15.4087i 0.292697 0.640916i
\(579\) −6.41824 6.92813i −0.266733 0.287923i
\(580\) 12.2056 7.97299i 0.506811 0.331061i
\(581\) 0.869886 2.96256i 0.0360889 0.122908i
\(582\) −7.13689 + 11.9607i −0.295834 + 0.495788i
\(583\) −34.3029 + 15.6656i −1.42068 + 0.648802i
\(584\) 6.22296 5.39223i 0.257508 0.223132i
\(585\) 15.5135 1.14801i 0.641403 0.0474645i
\(586\) −23.6110 3.39474i −0.975360 0.140236i
\(587\) −2.40652 + 16.7377i −0.0993278 + 0.690840i 0.877931 + 0.478788i \(0.158924\pi\)
−0.977258 + 0.212052i \(0.931985\pi\)
\(588\) 9.19054 + 1.01121i 0.379012 + 0.0417014i
\(589\) −33.6791 + 29.1831i −1.38772 + 1.20247i
\(590\) −3.36574 22.2338i −0.138565 0.915353i
\(591\) −2.53835 + 4.25402i −0.104414 + 0.174987i
\(592\) 0.651275 + 0.191232i 0.0267672 + 0.00785957i
\(593\) 1.86022 2.14680i 0.0763899 0.0881586i −0.716268 0.697825i \(-0.754151\pi\)
0.792658 + 0.609667i \(0.208697\pi\)
\(594\) −3.24849 32.4939i −0.133287 1.33324i
\(595\) −0.460480 + 0.539480i −0.0188779 + 0.0221165i
\(596\) 0.597972 + 4.15899i 0.0244939 + 0.170359i
\(597\) 10.8740 + 21.8591i 0.445043 + 0.894633i
\(598\) 5.51463 9.65766i 0.225510 0.394931i
\(599\) 8.90466i 0.363834i −0.983314 0.181917i \(-0.941770\pi\)
0.983314 0.181917i \(-0.0582303\pi\)
\(600\) −0.416325 8.65024i −0.0169964 0.353145i
\(601\) 6.76727 14.8183i 0.276043 0.604449i −0.719936 0.694041i \(-0.755829\pi\)
0.995979 + 0.0895914i \(0.0285561\pi\)
\(602\) 9.78754 2.87388i 0.398910 0.117131i
\(603\) −0.607285 2.86003i −0.0247305 0.116470i
\(604\) 3.80817 + 1.11818i 0.154952 + 0.0454981i
\(605\) 18.4064 + 61.0039i 0.748326 + 2.48016i
\(606\) 12.5465 15.4903i 0.509668 0.629251i
\(607\) 30.7899 26.6796i 1.24972 1.08289i 0.256516 0.966540i \(-0.417425\pi\)
0.993208 0.116352i \(-0.0371201\pi\)
\(608\) 2.97873 4.63499i 0.120803 0.187974i
\(609\) 13.8241 4.56297i 0.560182 0.184901i
\(610\) −2.49282 + 5.56775i −0.100931 + 0.225432i
\(611\) −0.228221 + 0.355119i −0.00923283 + 0.0143666i
\(612\) −0.0489996 0.736554i −0.00198069 0.0297734i
\(613\) −9.77007 21.3935i −0.394609 0.864074i −0.997789 0.0664684i \(-0.978827\pi\)
0.603179 0.797606i \(-0.293900\pi\)
\(614\) −6.72453 10.4636i −0.271380 0.422275i
\(615\) 12.5754 + 1.28903i 0.507089 + 0.0519785i
\(616\) −5.30543 + 6.12279i −0.213762 + 0.246694i
\(617\) −2.58807 8.81415i −0.104192 0.354844i 0.890851 0.454296i \(-0.150109\pi\)
−0.995042 + 0.0994519i \(0.968291\pi\)
\(618\) −0.511334 15.3896i −0.0205689 0.619060i
\(619\) 44.0020 6.32653i 1.76859 0.254285i 0.820355 0.571855i \(-0.193776\pi\)
0.948235 + 0.317570i \(0.102867\pi\)
\(620\) −4.96622 + 17.3909i −0.199448 + 0.698437i
\(621\) 24.9188 0.229484i 0.999958 0.00920888i
\(622\) 12.7086i 0.509570i
\(623\) −3.14360 21.8642i −0.125946 0.875972i
\(624\) 4.01430 0.133379i 0.160700 0.00533943i
\(625\) −16.9264 18.3983i −0.677055 0.735932i
\(626\) 1.20283 1.38814i 0.0480747 0.0554811i
\(627\) −10.5018 59.0473i −0.419401 2.35812i
\(628\) −4.87995 + 3.13615i −0.194731 + 0.125146i
\(629\) 0.151925 0.0693820i 0.00605766 0.00276644i
\(630\) 1.81734 8.45453i 0.0724046 0.336836i
\(631\) −14.0369 + 21.8418i −0.558800 + 0.869509i −0.999605 0.0280933i \(-0.991056\pi\)
0.440806 + 0.897603i \(0.354693\pi\)
\(632\) −3.60759 0.518693i −0.143502 0.0206325i
\(633\) −11.7015 35.4511i −0.465091 1.40906i
\(634\) −0.204268 0.131275i −0.00811250 0.00521359i
\(635\) 12.1315 + 26.0498i 0.481425 + 1.03375i
\(636\) 6.54145 8.07627i 0.259385 0.320245i
\(637\) 6.69254 + 10.4138i 0.265168 + 0.412609i
\(638\) 11.5440 39.3154i 0.457033 1.55651i
\(639\) 23.3395 4.95579i 0.923297 0.196048i
\(640\) −0.0166338 2.23601i −0.000657511 0.0883859i
\(641\) −13.0538 + 28.5838i −0.515594 + 1.12899i 0.455487 + 0.890243i \(0.349465\pi\)
−0.971081 + 0.238751i \(0.923262\pi\)
\(642\) 21.1154 14.5830i 0.833359 0.575546i
\(643\) 45.0590 1.77695 0.888477 0.458922i \(-0.151764\pi\)
0.888477 + 0.458922i \(0.151764\pi\)
\(644\) −4.28761 4.45401i −0.168956 0.175512i
\(645\) 5.59075 + 30.1326i 0.220136 + 1.18647i
\(646\) −0.192936 1.34190i −0.00759098 0.0527965i
\(647\) −16.8740 + 36.9490i −0.663387 + 1.45262i 0.215944 + 0.976406i \(0.430717\pi\)
−0.879332 + 0.476210i \(0.842010\pi\)
\(648\) 4.79023 + 7.61929i 0.188178 + 0.299314i
\(649\) −47.7647 41.3884i −1.87493 1.62464i
\(650\) 8.64874 7.72242i 0.339231 0.302898i
\(651\) −9.25396 + 15.5087i −0.362691 + 0.607835i
\(652\) −6.77413 + 3.09364i −0.265295 + 0.121156i
\(653\) −31.5683 36.4317i −1.23536 1.42568i −0.868708 0.495325i \(-0.835049\pi\)
−0.366654 0.930357i \(-0.619497\pi\)
\(654\) 1.95278 17.7482i 0.0763596 0.694009i
\(655\) −17.9311 + 40.0493i −0.700625 + 1.56486i
\(656\) 3.23075 + 0.464511i 0.126139 + 0.0181361i
\(657\) 8.51744 + 23.1876i 0.332297 + 0.904635i
\(658\) 0.153673 + 0.177348i 0.00599081 + 0.00691376i
\(659\) −8.60340 18.8388i −0.335141 0.733856i 0.664772 0.747046i \(-0.268529\pi\)
−0.999913 + 0.0131899i \(0.995801\pi\)
\(660\) −16.6739 17.7321i −0.649032 0.690223i
\(661\) 4.81472 16.3974i 0.187271 0.637786i −0.811314 0.584610i \(-0.801247\pi\)
0.998585 0.0531759i \(-0.0169344\pi\)
\(662\) −7.53043 + 8.69058i −0.292678 + 0.337769i
\(663\) 0.725008 0.671649i 0.0281570 0.0260847i
\(664\) 2.17871 + 0.994983i 0.0845503 + 0.0386128i
\(665\) 2.14321 15.7365i 0.0831100 0.610234i
\(666\) −1.22840 + 1.62406i −0.0475997 + 0.0629311i
\(667\) 29.0836 + 11.4828i 1.12612 + 0.444614i
\(668\) 22.9145 0.886590
\(669\) −8.16012 + 5.63566i −0.315488 + 0.217887i
\(670\) −1.65755 1.41483i −0.0640369 0.0546595i
\(671\) 4.83042 + 16.4509i 0.186476 + 0.635080i
\(672\) 0.557566 2.16208i 0.0215086 0.0834039i
\(673\) 1.35231 4.60555i 0.0521278 0.177531i −0.929314 0.369290i \(-0.879601\pi\)
0.981442 + 0.191759i \(0.0614191\pi\)
\(674\) 22.6344 14.5462i 0.871844 0.560300i
\(675\) 24.7114 + 8.02159i 0.951143 + 0.308751i
\(676\) −4.99170 5.76073i −0.191989 0.221567i
\(677\) 14.2467 22.1682i 0.547543 0.851994i −0.451648 0.892196i \(-0.649164\pi\)
0.999192 + 0.0402020i \(0.0128001\pi\)
\(678\) −5.97092 + 1.97084i −0.229312 + 0.0756895i
\(679\) −1.47528 + 10.2608i −0.0566162 + 0.393774i
\(680\) −0.363393 0.413128i −0.0139355 0.0158427i
\(681\) −2.45444 + 5.88413i −0.0940545 + 0.225480i
\(682\) 21.1165 + 46.2387i 0.808594 + 1.77057i
\(683\) 30.9376 19.8824i 1.18379 0.760778i 0.207714 0.978190i \(-0.433398\pi\)
0.976080 + 0.217411i \(0.0697612\pi\)
\(684\) 9.83947 + 13.2811i 0.376221 + 0.507817i
\(685\) 14.8494 9.69997i 0.567366 0.370617i
\(686\) 15.2611 4.48105i 0.582670 0.171087i
\(687\) −26.9147 + 0.894269i −1.02686 + 0.0341185i
\(688\) 1.12613 + 7.83244i 0.0429335 + 0.298609i
\(689\) 13.9147 0.530107
\(690\) 14.6253 11.4499i 0.556775 0.435892i
\(691\) 3.45706 0.131513 0.0657564 0.997836i \(-0.479054\pi\)
0.0657564 + 0.997836i \(0.479054\pi\)
\(692\) −2.83697 19.7316i −0.107845 0.750081i
\(693\) −11.5419 21.3895i −0.438439 0.812520i
\(694\) −27.8996 + 8.19205i −1.05905 + 0.310966i
\(695\) −9.30016 14.2373i −0.352775 0.540053i
\(696\) 1.97744 + 11.1183i 0.0749546 + 0.421439i
\(697\) 0.675640 0.434207i 0.0255917 0.0164468i
\(698\) −10.7389 23.5149i −0.406474 0.890054i
\(699\) −25.7926 10.7588i −0.975565 0.406937i
\(700\) −2.76452 5.82262i −0.104489 0.220074i
\(701\) 3.10574 21.6009i 0.117302 0.815855i −0.843204 0.537595i \(-0.819333\pi\)
0.960506 0.278260i \(-0.0897578\pi\)
\(702\) −3.89040 + 11.4042i −0.146834 + 0.430424i
\(703\) −2.02187 + 3.14609i −0.0762563 + 0.118657i
\(704\) −4.11556 4.74961i −0.155111 0.179008i
\(705\) −0.577122 + 0.404954i −0.0217357 + 0.0152515i
\(706\) 30.6654 19.7075i 1.15411 0.741701i
\(707\) 4.17987 14.2353i 0.157200 0.535375i
\(708\) 16.8666 + 4.34965i 0.633887 + 0.163470i
\(709\) −0.653430 2.22538i −0.0245401 0.0835759i 0.946313 0.323253i \(-0.104777\pi\)
−0.970853 + 0.239677i \(0.922958\pi\)
\(710\) 11.5458 13.5266i 0.433306 0.507643i
\(711\) 5.28779 9.57042i 0.198308 0.358919i
\(712\) 17.1351 0.642164
\(713\) −36.5961 + 12.8617i −1.37053 + 0.481675i
\(714\) −0.244702 0.491904i −0.00915774 0.0184090i
\(715\) 4.39763 32.2896i 0.164462 1.20756i
\(716\) −20.3376 9.28789i −0.760053 0.347105i
\(717\) −23.0288 24.8583i −0.860027 0.928351i
\(718\) −19.8702 + 22.9315i −0.741550 + 0.855794i
\(719\) −10.3905 + 35.3868i −0.387500 + 1.31971i 0.502828 + 0.864386i \(0.332293\pi\)
−0.890329 + 0.455319i \(0.849525\pi\)
\(720\) 6.29101 + 2.32877i 0.234452 + 0.0867880i
\(721\) −4.76080 10.4247i −0.177301 0.388236i
\(722\) 7.43657 + 8.58225i 0.276760 + 0.319398i
\(723\) 1.67994 15.2684i 0.0624775 0.567840i
\(724\) −5.35053 0.769291i −0.198851 0.0285905i
\(725\) 24.9520 + 20.9793i 0.926692 + 0.779150i
\(726\) −49.0615 5.39807i −1.82084 0.200341i
\(727\) −3.70264 4.27308i −0.137323 0.158480i 0.682922 0.730491i \(-0.260709\pi\)
−0.820246 + 0.572011i \(0.806163\pi\)
\(728\) 2.71923 1.24183i 0.100781 0.0460253i
\(729\) −26.4656 + 5.34509i −0.980209 + 0.197966i
\(730\) 15.5629 + 9.83885i 0.576008 + 0.364152i
\(731\) 1.47150 + 1.27506i 0.0544254 + 0.0471599i
\(732\) −3.21129 3.46641i −0.118693 0.128122i
\(733\) −12.2467 + 26.8165i −0.452341 + 0.990489i 0.536826 + 0.843693i \(0.319623\pi\)
−0.989167 + 0.146796i \(0.953104\pi\)
\(734\) 4.36514 + 30.3602i 0.161120 + 1.12062i
\(735\) 3.77158 + 20.3278i 0.139117 + 0.749801i
\(736\) 3.89326 2.80045i 0.143508 0.103226i
\(737\) −6.12500 −0.225617
\(738\) −4.73544 + 8.57071i −0.174314 + 0.315492i
\(739\) 14.0481 30.7609i 0.516766 1.13156i −0.453883 0.891061i \(-0.649962\pi\)
0.970649 0.240499i \(-0.0773110\pi\)
\(740\) 0.0112906 + 1.51773i 0.000415049 + 0.0557930i
\(741\) −5.52605 + 21.4284i −0.203005 + 0.787192i
\(742\) 2.17928 7.42195i 0.0800039 0.272468i
\(743\) 13.7622 + 21.4143i 0.504885 + 0.785616i 0.996357 0.0852770i \(-0.0271775\pi\)
−0.491472 + 0.870893i \(0.663541\pi\)
\(744\) −10.8865 8.81759i −0.399117 0.323269i
\(745\) −8.51709 + 3.96646i −0.312042 + 0.145320i
\(746\) −9.47973 6.09225i −0.347078 0.223053i
\(747\) −5.10609 + 5.05556i −0.186822 + 0.184973i
\(748\) −1.53066 0.220076i −0.0559665 0.00804677i
\(749\) 10.3259 16.0673i 0.377299 0.587088i
\(750\) 18.2491 6.47857i 0.666361 0.236564i
\(751\) 37.5031 17.1271i 1.36851 0.624977i 0.410537 0.911844i \(-0.365341\pi\)
0.957970 + 0.286867i \(0.0926138\pi\)
\(752\) −0.153139 + 0.0984162i −0.00558439 + 0.00358887i
\(753\) 22.3471 3.97452i 0.814373 0.144839i
\(754\) −9.90099 + 11.4264i −0.360573 + 0.416123i
\(755\) 0.0660188 + 8.87458i 0.00240267 + 0.322979i
\(756\) 5.47359 + 3.86120i 0.199072 + 0.140431i
\(757\) 2.88087 + 20.0369i 0.104707 + 0.728253i 0.972766 + 0.231791i \(0.0744587\pi\)
−0.868058 + 0.496462i \(0.834632\pi\)
\(758\) 19.0239i 0.690980i
\(759\) 10.3723 51.1633i 0.376490 1.85711i
\(760\) 11.8463 + 3.38288i 0.429712 + 0.122710i
\(761\) 16.1644 2.32409i 0.585958 0.0842481i 0.157041 0.987592i \(-0.449804\pi\)
0.428917 + 0.903344i \(0.358895\pi\)
\(762\) −22.2466 + 0.739166i −0.805910 + 0.0267772i
\(763\) −3.74399 12.7509i −0.135542 0.461613i
\(764\) −15.2936 + 17.6498i −0.553304 + 0.638547i
\(765\) 1.54513 0.580647i 0.0558641 0.0209934i
\(766\) 10.4931 + 16.3276i 0.379131 + 0.589939i
\(767\) 9.68769 + 21.2131i 0.349802 + 0.765960i
\(768\) 1.59855 + 0.666803i 0.0576828 + 0.0240612i
\(769\) −10.8173 + 16.8321i −0.390082 + 0.606980i −0.979644 0.200744i \(-0.935664\pi\)
0.589562 + 0.807723i \(0.299300\pi\)
\(770\) −16.5342 7.40276i −0.595851 0.266777i
\(771\) 0.0185351 + 0.0561545i 0.000667524 + 0.00202235i
\(772\) 2.94790 4.58702i 0.106097 0.165091i
\(773\) 11.3512 9.83588i 0.408275 0.353772i −0.426381 0.904543i \(-0.640212\pi\)