Properties

Label 690.2.n.a.89.6
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 89.6
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.34594 + 1.09016i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.02703 - 0.944001i) q^{5} +(1.27061 + 1.17710i) q^{6} +(-1.08447 + 0.696948i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.623112 - 2.93458i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.34594 + 1.09016i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.02703 - 0.944001i) q^{5} +(1.27061 + 1.17710i) q^{6} +(-1.08447 + 0.696948i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.623112 - 2.93458i) q^{9} +(-0.645916 + 2.14075i) q^{10} +(0.894396 - 6.22066i) q^{11} +(0.984288 - 1.42519i) q^{12} +(-1.25371 + 1.95081i) q^{13} +(0.844191 + 0.974248i) q^{14} +(3.75738 - 0.939216i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.0693233 - 0.236094i) q^{17} +(-2.99338 - 0.199136i) q^{18} +(1.55224 + 5.28644i) q^{19} +(2.21088 + 0.334681i) q^{20} +(0.699852 - 2.12030i) q^{21} -6.28463 q^{22} +(-0.433107 + 4.77623i) q^{23} +(-1.55077 - 0.771443i) q^{24} +(3.21772 + 3.82704i) q^{25} +(2.10938 + 0.963320i) q^{26} +(2.36048 + 4.62905i) q^{27} +(0.844191 - 0.974248i) q^{28} +(-1.83687 + 6.25580i) q^{29} +(-1.46439 - 3.58547i) q^{30} +(3.36003 + 7.35743i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(5.57770 + 9.34767i) q^{33} +(-0.243556 - 0.0350181i) q^{34} +(2.85618 - 0.388993i) q^{35} +(0.228894 + 2.99126i) q^{36} +(-0.444500 - 0.512980i) q^{37} +(5.01173 - 2.28878i) q^{38} +(-0.439273 - 3.99242i) q^{39} +(0.0166338 - 2.23601i) q^{40} +(-2.46674 - 2.13745i) q^{41} +(-2.19831 - 0.390979i) 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} +(-0.542893 + 1.64477i) q^{48} +(-2.21756 + 4.85578i) q^{49} +(3.33016 - 3.72962i) q^{50} +(0.164074 + 0.393341i) q^{51} +(0.653319 - 2.22500i) q^{52} +(3.24409 + 5.04791i) q^{53} +(4.24601 - 2.99524i) q^{54} +(-7.68528 + 11.7652i) q^{55} +(-1.08447 - 0.696948i) q^{56} +(-7.85228 - 5.42305i) q^{57} +(6.45354 + 0.927879i) q^{58} +(5.43699 - 8.46012i) q^{59} +(-3.34057 + 1.95975i) q^{60} +(2.48161 - 1.13331i) q^{61} +(6.80436 - 4.37290i) q^{62} +(1.36950 + 3.61674i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(4.38288 - 2.77085i) q^{65} +(8.45874 - 6.85124i) q^{66} +(-0.138700 - 0.964679i) q^{67} +0.246061i q^{68} +(-4.62391 - 6.90068i) q^{69} +(-0.791511 - 2.77175i) q^{70} +(7.87233 - 1.13187i) q^{71} +(2.92823 - 0.652264i) q^{72} +(2.31983 + 7.90061i) q^{73} +(-0.444500 + 0.512980i) q^{74} +(-8.50294 - 1.64315i) q^{75} +(-2.97873 - 4.63499i) q^{76} +(3.36553 + 7.36948i) q^{77} +(-3.88927 + 1.00298i) q^{78} +(-1.97047 + 3.06611i) q^{79} +(-2.21561 + 0.301752i) q^{80} +(-8.22346 - 3.65714i) q^{81} +(-1.76463 + 2.74583i) q^{82} +(1.81014 - 1.56849i) q^{83} +(-0.0741465 + 2.23158i) q^{84} +(-0.363393 + 0.413128i) q^{85} +(-7.59245 - 2.22934i) q^{86} +(-4.34750 - 10.4224i) q^{87} +(6.03006 - 1.77059i) q^{88} +(-7.11816 + 15.5866i) q^{89} +(5.87970 + 3.22941i) q^{90} -2.98937i q^{91} +(-0.930058 - 4.70478i) q^{92} +(-12.5432 - 6.23971i) q^{93} +(0.0259065 + 0.180183i) q^{94} +(1.84397 - 12.1811i) q^{95} +(1.70529 + 0.303292i) q^{96} +(5.26602 - 6.07732i) q^{97} +(5.12195 + 1.50394i) q^{98} +(-17.6977 - 6.50084i) 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
\(3\) −1.34594 + 1.09016i −0.777079 + 0.629403i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −2.02703 0.944001i −0.906517 0.422170i
\(6\) 1.27061 + 1.17710i 0.518724 + 0.480547i
\(7\) −1.08447 + 0.696948i −0.409892 + 0.263422i −0.729298 0.684196i \(-0.760153\pi\)
0.319406 + 0.947618i \(0.396517\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.623112 2.93458i 0.207704 0.978192i
\(10\) −0.645916 + 2.14075i −0.204257 + 0.676963i
\(11\) 0.894396 6.22066i 0.269671 1.87560i −0.181831 0.983330i \(-0.558202\pi\)
0.451501 0.892270i \(-0.350889\pi\)
\(12\) 0.984288 1.42519i 0.284139 0.411418i
\(13\) −1.25371 + 1.95081i −0.347717 + 0.541058i −0.970427 0.241395i \(-0.922395\pi\)
0.622710 + 0.782452i \(0.286032\pi\)
\(14\) 0.844191 + 0.974248i 0.225619 + 0.260379i
\(15\) 3.75738 0.939216i 0.970150 0.242505i
\(16\) 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 \(0.0814096\pi\)
\(18\) −2.99338 0.199136i −0.705547 0.0469368i
\(19\) 1.55224 + 5.28644i 0.356108 + 1.21279i 0.921633 + 0.388062i \(0.126855\pi\)
−0.565525 + 0.824731i \(0.691326\pi\)
\(20\) 2.21088 + 0.334681i 0.494368 + 0.0748370i
\(21\) 0.699852 2.12030i 0.152720 0.462687i
\(22\) −6.28463 −1.33989
\(23\) −0.433107 + 4.77623i −0.0903091 + 0.995914i
\(24\) −1.55077 0.771443i −0.316549 0.157470i
\(25\) 3.21772 + 3.82704i 0.643545 + 0.765409i
\(26\) 2.10938 + 0.963320i 0.413683 + 0.188923i
\(27\) 2.36048 + 4.62905i 0.454274 + 0.890862i
\(28\) 0.844191 0.974248i 0.159537 0.184116i
\(29\) −1.83687 + 6.25580i −0.341098 + 1.16167i 0.593162 + 0.805083i \(0.297879\pi\)
−0.934261 + 0.356591i \(0.883939\pi\)
\(30\) −1.46439 3.58547i −0.267359 0.654614i
\(31\) 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
\(33\) 5.57770 + 9.34767i 0.970953 + 1.62722i
\(34\) −0.243556 0.0350181i −0.0417695 0.00600555i
\(35\) 2.85618 0.388993i 0.482783 0.0657519i
\(36\) 0.228894 + 2.99126i 0.0381490 + 0.498543i
\(37\) −0.444500 0.512980i −0.0730753 0.0843334i 0.718035 0.696007i \(-0.245042\pi\)
−0.791110 + 0.611674i \(0.790496\pi\)
\(38\) 5.01173 2.28878i 0.813010 0.371289i
\(39\) −0.439273 3.99242i −0.0703399 0.639299i
\(40\) 0.0166338 2.23601i 0.00263004 0.353544i
\(41\) −2.46674 2.13745i −0.385241 0.333813i 0.440613 0.897697i \(-0.354761\pi\)
−0.825854 + 0.563884i \(0.809306\pi\)
\(42\) −2.19831 0.390979i −0.339207 0.0603293i
\(43\) 3.28717 7.19790i 0.501289 1.09767i −0.474759 0.880116i \(-0.657465\pi\)
0.976048 0.217554i \(-0.0698079\pi\)
\(44\) 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 \(0.504226\pi\)
\(48\) −0.542893 + 1.64477i −0.0783599 + 0.237402i
\(49\) −2.21756 + 4.85578i −0.316795 + 0.693683i
\(50\) 3.33016 3.72962i 0.470956 0.527447i
\(51\) 0.164074 + 0.393341i 0.0229750 + 0.0550788i
\(52\) 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 \(0.682973\pi\)
\(54\) 4.24601 2.99524i 0.577808 0.407600i
\(55\) −7.68528 + 11.7652i −1.03628 + 1.58642i
\(56\) −1.08447 0.696948i −0.144919 0.0931336i
\(57\) −7.85228 5.42305i −1.04006 0.718301i
\(58\) 6.45354 + 0.927879i 0.847392 + 0.121837i
\(59\) 5.43699 8.46012i 0.707835 1.10141i −0.282030 0.959406i \(-0.591008\pi\)
0.989866 0.142008i \(-0.0453558\pi\)
\(60\) −3.34057 + 1.95975i −0.431265 + 0.253002i
\(61\) 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
\(63\) 1.36950 + 3.61674i 0.172541 + 0.455667i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 4.38288 2.77085i 0.543629 0.343682i
\(66\) 8.45874 6.85124i 1.04120 0.843329i
\(67\) −0.138700 0.964679i −0.0169449 0.117854i 0.979593 0.200990i \(-0.0644157\pi\)
−0.996538 + 0.0831353i \(0.973507\pi\)
\(68\) 0.246061i 0.0298392i
\(69\) −4.62391 6.90068i −0.556654 0.830745i
\(70\) −0.791511 2.77175i −0.0946036 0.331287i
\(71\) 7.87233 1.13187i 0.934274 0.134328i 0.341668 0.939821i \(-0.389008\pi\)
0.592606 + 0.805492i \(0.298099\pi\)
\(72\) 2.92823 0.652264i 0.345096 0.0768700i
\(73\) 2.31983 + 7.90061i 0.271516 + 0.924697i 0.976508 + 0.215482i \(0.0691323\pi\)
−0.704992 + 0.709215i \(0.749050\pi\)
\(74\) −0.444500 + 0.512980i −0.0516720 + 0.0596327i
\(75\) −8.50294 1.64315i −0.981836 0.189734i
\(76\) −2.97873 4.63499i −0.341683 0.531670i
\(77\) 3.36553 + 7.36948i 0.383538 + 0.839831i
\(78\) −3.88927 + 1.00298i −0.440373 + 0.113565i
\(79\) −1.97047 + 3.06611i −0.221695 + 0.344964i −0.934229 0.356673i \(-0.883911\pi\)
0.712534 + 0.701637i \(0.247547\pi\)
\(80\) −2.21561 + 0.301752i −0.247713 + 0.0337369i
\(81\) −8.22346 3.65714i −0.913718 0.406349i
\(82\) −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 \(0.230764\pi\)
\(84\) −0.0741465 + 2.23158i −0.00809004 + 0.243485i
\(85\) −0.363393 + 0.413128i −0.0394155 + 0.0448100i
\(86\) −7.59245 2.22934i −0.818715 0.240396i
\(87\) −4.34750 10.4224i −0.466100 1.11740i
\(88\) 6.03006 1.77059i 0.642806 0.188745i
\(89\) −7.11816 + 15.5866i −0.754524 + 1.65218i 0.00353850 + 0.999994i \(0.498874\pi\)
−0.758062 + 0.652182i \(0.773854\pi\)
\(90\) 5.87970 + 3.22941i 0.619775 + 0.340410i
\(91\) 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
\(95\) 1.84397 12.1811i 0.189187 1.24976i
\(96\) 1.70529 + 0.303292i 0.174045 + 0.0309547i
\(97\) 5.26602 6.07732i 0.534684 0.617058i −0.422562 0.906334i \(-0.638869\pi\)
0.957246 + 0.289276i \(0.0934146\pi\)
\(98\) 5.12195 + 1.50394i 0.517395 + 0.151921i
\(99\) −17.6977 6.50084i −1.77869 0.653359i
\(100\) −4.16559 2.76548i −0.416559 0.276548i
\(101\) −8.69786 + 7.53674i −0.865469 + 0.749933i −0.969617 0.244629i \(-0.921334\pi\)
0.104148 + 0.994562i \(0.466789\pi\)
\(102\) 0.365987 0.218382i 0.0362381 0.0216231i
\(103\) −1.26519 + 8.79960i −0.124663 + 0.867050i 0.827501 + 0.561464i \(0.189762\pi\)
−0.952164 + 0.305586i \(0.901148\pi\)
\(104\) −2.29533 0.330019i −0.225076 0.0323610i
\(105\) −3.42019 + 3.63725i −0.333776 + 0.354959i
\(106\) 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 \(0.109539\pi\)
\(108\) −3.56902 3.77652i −0.343429 0.363396i
\(109\) 2.90431 9.89119i 0.278183 0.947404i −0.695314 0.718706i \(-0.744735\pi\)
0.973497 0.228698i \(-0.0734469\pi\)
\(110\) 12.7392 + 5.93270i 1.21463 + 0.565661i
\(111\) 1.15750 + 0.205866i 0.109865 + 0.0195399i
\(112\) −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
\(115\) 5.38669 9.27273i 0.502312 0.864687i
\(116\) 6.51991i 0.605358i
\(117\) 4.94360 + 4.89468i 0.457036 + 0.452513i
\(118\) −9.14777 4.17765i −0.842120 0.384583i
\(119\) 0.0893657 + 0.304352i 0.00819214 + 0.0278999i
\(120\) 2.41521 + 3.02766i 0.220478 + 0.276387i
\(121\) −27.3423 8.02842i −2.48566 0.729856i
\(122\) −1.47495 2.29507i −0.133536 0.207785i
\(123\) 5.65024 + 0.187735i 0.509465 + 0.0169275i
\(124\) −5.29675 6.11278i −0.475662 0.548943i
\(125\) −2.90970 10.7951i −0.260251 0.965541i
\(126\) 3.38503 1.87028i 0.301562 0.166617i
\(127\) 12.7204 + 1.82891i 1.12875 + 0.162290i 0.681290 0.732014i \(-0.261419\pi\)
0.447461 + 0.894304i \(0.352328\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 3.42251 + 13.2715i 0.301335 + 1.16849i
\(130\) −3.36640 3.94394i −0.295253 0.345906i
\(131\) 10.6094 + 16.5086i 0.926951 + 1.44236i 0.896608 + 0.442824i \(0.146023\pi\)
0.0303425 + 0.999540i \(0.490340\pi\)
\(132\) −7.98531 7.39761i −0.695032 0.643879i
\(133\) −5.36774 4.65117i −0.465442 0.403308i
\(134\) −0.935121 + 0.274576i −0.0807822 + 0.0237198i
\(135\) −0.414934 11.6115i −0.0357118 0.999362i
\(136\) 0.243556 0.0350181i 0.0208848 0.00300278i
\(137\) 7.93214i 0.677688i 0.940843 + 0.338844i \(0.110036\pi\)
−0.940843 + 0.338844i \(0.889964\pi\)
\(138\) −6.17239 + 5.55892i −0.525429 + 0.473207i
\(139\) 7.60519 0.645064 0.322532 0.946559i \(-0.395466\pi\)
0.322532 + 0.946559i \(0.395466\pi\)
\(140\) −2.63089 + 1.17792i −0.222351 + 0.0995520i
\(141\) 0.245010 0.198448i 0.0206336 0.0167124i
\(142\) −2.24070 7.63112i −0.188035 0.640389i
\(143\) 11.0140 + 9.54371i 0.921039 + 0.798085i
\(144\) −1.06236 2.80560i −0.0885297 0.233800i
\(145\) 9.62888 10.9467i 0.799635 0.909075i
\(146\) 7.49005 3.42059i 0.619881 0.283090i
\(147\) −2.30886 8.95309i −0.190432 0.738438i
\(148\) 0.571017 + 0.366971i 0.0469373 + 0.0301648i
\(149\) −0.597972 + 4.15899i −0.0489878 + 0.340718i 0.950557 + 0.310550i \(0.100513\pi\)
−0.999545 + 0.0301676i \(0.990396\pi\)
\(150\) −0.416325 + 8.65024i −0.0339928 + 0.706289i
\(151\) −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
\(153\) −0.649638 0.350547i −0.0525201 0.0283401i
\(154\) 6.81551 4.38006i 0.549209 0.352955i
\(155\) 0.134541 18.0856i 0.0108066 1.45267i
\(156\) 1.54627 + 3.70694i 0.123801 + 0.296793i
\(157\) −5.56583 + 1.63428i −0.444202 + 0.130429i −0.496182 0.868219i \(-0.665265\pi\)
0.0519798 + 0.998648i \(0.483447\pi\)
\(158\) 3.31532 + 1.51406i 0.263753 + 0.120452i
\(159\) −9.86938 3.25761i −0.782693 0.258345i
\(160\) 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 −0.424810 0.905282i \(-0.639659\pi\)
−0.152555 + 0.988295i \(0.548750\pi\)
\(164\) 2.96901 + 1.35590i 0.231841 + 0.105878i
\(165\) −2.48196 24.2134i −0.193221 1.88501i
\(166\) −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 \(0.937841\pi\)
\(168\) 2.21942 0.244195i 0.171232 0.0188401i
\(169\) 3.16652 + 6.93371i 0.243578 + 0.533362i
\(170\) 0.460639 + 0.300900i 0.0353294 + 0.0230780i
\(171\) 16.4807 1.26112i 1.26031 0.0964401i
\(172\) −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 \(0.771732\pi\)
\(174\) −9.69762 + 5.78651i −0.735175 + 0.438674i
\(175\) −6.15678 1.90774i −0.465409 0.144211i
\(176\) −2.61073 5.71670i −0.196791 0.430913i
\(177\) 1.90500 + 17.3140i 0.143189 + 1.30140i
\(178\) 16.4410 + 4.82750i 1.23230 + 0.361837i
\(179\) −16.8971 14.6414i −1.26295 1.09435i −0.991254 0.131969i \(-0.957870\pi\)
−0.271696 0.962383i \(-0.587584\pi\)
\(180\) 2.35977 6.27945i 0.175887 0.468042i
\(181\) 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
\(186\) −4.39112 + 13.3035i −0.321972 + 0.975459i
\(187\) −1.40666 0.642398i −0.102865 0.0469768i
\(188\) 0.174663 0.0512856i 0.0127386 0.00374038i
\(189\) −5.78608 3.37495i −0.420876 0.245492i
\(190\) −12.3196 0.0916462i −0.893754 0.00664872i
\(191\) −19.6467 + 12.6261i −1.42158 + 0.913595i −0.421605 + 0.906780i \(0.638533\pi\)
−0.999977 + 0.00681553i \(0.997831\pi\)
\(192\) 0.0575173 1.73110i 0.00415096 0.124931i
\(193\) 4.12080 3.57070i 0.296622 0.257024i −0.493816 0.869566i \(-0.664398\pi\)
0.790438 + 0.612542i \(0.209853\pi\)
\(194\) −6.76489 4.34753i −0.485691 0.312135i
\(195\) −2.87843 + 8.50744i −0.206129 + 0.609230i
\(196\) 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 \(0.649331\pi\)
\(198\) −3.91603 + 18.4427i −0.278300 + 1.31067i
\(199\) 12.8219 5.85556i 0.908919 0.415089i 0.0946055 0.995515i \(-0.469841\pi\)
0.814313 + 0.580426i \(0.197114\pi\)
\(200\) −2.14451 + 4.51676i −0.151640 + 0.319383i
\(201\) 1.23833 + 1.14720i 0.0873454 + 0.0809170i
\(202\) 8.69786 + 7.53674i 0.611979 + 0.530283i
\(203\) −2.36794 8.06445i −0.166197 0.566013i
\(204\) −0.268245 0.331183i −0.0187809 0.0231875i
\(205\) 2.98242 + 6.66128i 0.208301 + 0.465244i
\(206\) 8.89009 0.619402
\(207\) 13.7463 + 4.24711i 0.955437 + 0.295195i
\(208\) 2.31893i 0.160789i
\(209\) 34.2735 4.92779i 2.37075 0.340862i
\(210\) 4.08697 + 2.86774i 0.282028 + 0.197893i
\(211\) −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
\(213\) −9.36177 + 10.1055i −0.641458 + 0.692418i
\(214\) −8.01004 12.4639i −0.547555 0.852012i
\(215\) −13.4580 + 11.4873i −0.917830 + 0.783427i
\(216\) −3.23016 + 4.07015i −0.219784 + 0.276938i
\(217\) −8.77160 5.63717i −0.595455 0.382676i
\(218\) −10.2038 1.46709i −0.691091 0.0993639i
\(219\) −11.7353 8.10478i −0.792996 0.547670i
\(220\) 4.05934 13.4538i 0.273681 0.907055i
\(221\) 0.373663 + 0.431230i 0.0251353 + 0.0290076i
\(222\) 0.0390410 1.17502i 0.00262026 0.0788619i
\(223\) −3.09550 4.81670i −0.207290 0.322550i 0.722005 0.691888i \(-0.243221\pi\)
−0.929295 + 0.369338i \(0.879584\pi\)
\(224\) 1.23690 + 0.363186i 0.0826436 + 0.0242664i
\(225\) 13.2357 7.05798i 0.882383 0.470532i
\(226\) 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 \(0.597383\pi\)
\(228\) 9.06206 + 2.99114i 0.600150 + 0.198093i
\(229\) 15.5478i 1.02743i 0.857961 + 0.513714i \(0.171731\pi\)
−0.857961 + 0.513714i \(0.828269\pi\)
\(230\) −9.94495 4.01222i −0.655751 0.264558i
\(231\) −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 \(0.959112\pi\)
\(234\) 4.14131 5.58987i 0.270726 0.365421i
\(235\) 0.368994 + 0.171842i 0.0240705 + 0.0112098i
\(236\) −2.83326 + 9.64920i −0.184430 + 0.628109i
\(237\) −0.690408 6.27491i −0.0448468 0.407600i
\(238\) 0.288536 0.131770i 0.0187030 0.00854137i
\(239\) 14.7856 12.8118i 0.956398 0.828724i −0.0288972 0.999582i \(-0.509200\pi\)
0.985296 + 0.170858i \(0.0546541\pi\)
\(240\) 2.65313 2.82151i 0.171259 0.182128i
\(241\) −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
\(243\) 15.0551 4.04258i 0.965788 0.259332i
\(244\) −2.06180 + 1.78656i −0.131993 + 0.114373i
\(245\) 9.07893 7.74945i 0.580032 0.495094i
\(246\) −0.618289 5.61945i −0.0394207 0.358283i
\(247\) −12.2589 3.59954i −0.780016 0.229033i
\(248\) −5.29675 + 6.11278i −0.336344 + 0.388162i
\(249\) −0.726432 + 4.08443i −0.0460358 + 0.258840i
\(250\) −10.2711 + 4.41638i −0.649602 + 0.279316i
\(251\) 1.86497 + 12.9712i 0.117716 + 0.818734i 0.960060 + 0.279794i \(0.0902660\pi\)
−0.842344 + 0.538940i \(0.818825\pi\)
\(252\) −2.33298 3.08441i −0.146964 0.194299i
\(253\) 29.3240 + 6.96606i 1.84358 + 0.437952i
\(254\) 12.8512i 0.806355i
\(255\) 0.0387309 0.952202i 0.00242542 0.0596292i
\(256\) 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 \(0.408752\pi\)
\(258\) 12.6493 5.27640i 0.787513 0.328495i
\(259\) 0.839568 + 0.246519i 0.0521682 + 0.0153180i
\(260\) −3.42470 + 3.89342i −0.212391 + 0.241459i
\(261\) 17.2136 + 9.28850i 1.06549 + 0.574944i
\(262\) 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 \(0.179030\pi\)
\(264\) −6.18588 + 8.95682i −0.380715 + 0.551254i
\(265\) −1.81065 13.2947i −0.111228 0.816687i
\(266\) −3.83992 + 5.97503i −0.235441 + 0.366353i
\(267\) −7.41123 28.7386i −0.453560 1.75877i
\(268\) 0.404863 + 0.886527i 0.0247310 + 0.0541532i
\(269\) −13.2214 20.5729i −0.806123 1.25435i −0.963738 0.266851i \(-0.914017\pi\)
0.157615 0.987501i \(-0.449619\pi\)
\(270\) −11.4343 + 2.06320i −0.695869 + 0.125563i
\(271\) 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
\(273\) 3.25889 + 4.02352i 0.197237 + 0.243514i
\(274\) 7.85140 1.12886i 0.474320 0.0681970i
\(275\) 26.6847 16.5935i 1.60915 1.00062i
\(276\) 6.38076 + 5.31845i 0.384077 + 0.320133i
\(277\) 28.7488i 1.72735i 0.504050 + 0.863675i \(0.331843\pi\)
−0.504050 + 0.863675i \(0.668157\pi\)
\(278\) −1.08233 7.52778i −0.0649139 0.451486i
\(279\) 23.6846 5.27575i 1.41796 0.315851i
\(280\) 1.54034 + 2.43648i 0.0920530 + 0.145608i
\(281\) −8.76713 + 10.1178i −0.523003 + 0.603577i −0.954380 0.298594i \(-0.903482\pi\)
0.431377 + 0.902172i \(0.358028\pi\)
\(282\) −0.231297 0.214274i −0.0137735 0.0127598i
\(283\) 11.5584 7.42815i 0.687077 0.441558i −0.149968 0.988691i \(-0.547917\pi\)
0.837046 + 0.547133i \(0.184281\pi\)
\(284\) −7.23456 + 3.30391i −0.429292 + 0.196051i
\(285\) 10.7975 + 18.4053i 0.639587 + 1.09023i
\(286\) 7.87911 12.2601i 0.465901 0.724957i
\(287\) 4.16480 + 0.598808i 0.245841 + 0.0353465i
\(288\) −2.62586 + 1.45082i −0.154730 + 0.0854905i
\(289\) 14.2504 + 9.15816i 0.838257 + 0.538715i
\(290\) −12.2056 7.97299i −0.716739 0.468190i
\(291\) −0.462522 + 13.9205i −0.0271135 + 0.816034i
\(292\) −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 \(-0.154474\pi\)
\(294\) −8.53337 + 3.55952i −0.497676 + 0.207595i
\(295\) −19.0073 + 12.0164i −1.10665 + 0.699623i
\(296\) 0.281971 0.617431i 0.0163892 0.0358874i
\(297\) 30.9070 10.5435i 1.79341 0.611798i
\(298\) 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
\(303\) 3.49057 19.6260i 0.200528 1.12749i
\(304\) 4.16390 + 3.60804i 0.238816 + 0.206935i
\(305\) −6.10016 0.0453796i −0.349294 0.00259843i
\(306\) −0.254526 + 0.692914i −0.0145503 + 0.0396112i
\(307\) −11.3141 + 5.16696i −0.645728 + 0.294894i −0.711231 0.702958i \(-0.751862\pi\)
0.0655033 + 0.997852i \(0.479135\pi\)
\(308\) −5.30543 6.12279i −0.302305 0.348878i
\(309\) −7.89008 13.2230i −0.448851 0.752230i
\(310\) −17.9207 + 2.44068i −1.01783 + 0.138621i
\(311\) 12.5793 + 1.80863i 0.713305 + 0.102558i 0.489408 0.872055i \(-0.337213\pi\)
0.223897 + 0.974613i \(0.428122\pi\)
\(312\) 3.44915 2.05809i 0.195270 0.116516i
\(313\) −1.20283 1.38814i −0.0679879 0.0784622i 0.720737 0.693209i \(-0.243804\pi\)
−0.788725 + 0.614747i \(0.789258\pi\)
\(314\) 2.40974 + 5.27660i 0.135990 + 0.297776i
\(315\) 0.638190 8.62406i 0.0359579 0.485911i
\(316\) 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 \(0.225102\pi\)
\(318\) −1.81990 + 10.2325i −0.102055 + 0.573812i
\(319\) 37.2724 + 17.0217i 2.08685 + 0.953033i
\(320\) 2.04085 0.913740i 0.114087 0.0510796i
\(321\) −11.4296 + 22.9759i −0.637936 + 1.28239i
\(322\) −5.01886 + 3.61010i −0.279690 + 0.201183i
\(323\) 1.35570 0.0754333
\(324\) 8.92069 + 1.19218i 0.495594 + 0.0662323i
\(325\) −11.4999 + 1.47917i −0.637902 + 0.0820495i
\(326\) 2.09809 + 7.14545i 0.116203 + 0.395750i
\(327\) 6.87392 + 16.4791i 0.380129 + 0.911297i
\(328\) 0.919566 3.13176i 0.0507746 0.172922i
\(329\) 0.197413 0.126870i 0.0108837 0.00699456i
\(330\) −23.6137 + 5.90263i −1.29989 + 0.324929i
\(331\) −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
\(333\) −1.78235 + 0.984774i −0.0976722 + 0.0539653i
\(334\) −3.26108 + 22.6813i −0.178438 + 1.24107i
\(335\) −0.629509 + 2.08637i −0.0343938 + 0.113991i
\(336\) −0.557566 2.16208i −0.0304177 0.117951i
\(337\) −11.1770 24.4741i −0.608848 1.33319i −0.923359 0.383938i \(-0.874568\pi\)
0.314511 0.949254i \(-0.398160\pi\)
\(338\) 6.41249 4.12106i 0.348794 0.224156i
\(339\) 4.27314 4.61262i 0.232085 0.250523i
\(340\) 0.232282 0.498773i 0.0125972 0.0270498i
\(341\) 48.7733 14.3211i 2.64122 0.775533i
\(342\) −3.59373 16.1335i −0.194327 0.872398i
\(343\) −2.26356 15.7434i −0.122221 0.850066i
\(344\) 7.91298 0.426639
\(345\) 2.85857 + 18.3529i 0.153900 + 0.988086i
\(346\) 19.9345 1.07168
\(347\) −4.13815 28.7814i −0.222147 1.54507i −0.729893 0.683561i \(-0.760430\pi\)
0.507746 0.861507i \(-0.330479\pi\)
\(348\) 7.10773 + 8.77541i 0.381014 + 0.470411i
\(349\) 24.8039 7.28308i 1.32772 0.389854i 0.460449 0.887686i \(-0.347688\pi\)
0.867274 + 0.497832i \(0.165870\pi\)
\(350\) −1.01212 + 6.36561i −0.0540999 + 0.340256i
\(351\) −11.9898 1.19865i −0.639967 0.0639790i
\(352\) −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 \(0.441705\pi\)
\(354\) 16.8666 4.34965i 0.896452 0.231181i
\(355\) −17.0260 5.13715i −0.903644 0.272652i
\(356\) 2.43857 16.9606i 0.129244 0.898913i
\(357\) −0.452072 0.312216i −0.0239262 0.0165242i
\(358\) −12.0877 + 18.8088i −0.638855 + 0.994077i
\(359\) 19.8702 + 22.9315i 1.04871 + 1.21028i 0.977086 + 0.212844i \(0.0682727\pi\)
0.0716239 + 0.997432i \(0.477182\pi\)
\(360\) −6.55136 1.44210i −0.345287 0.0760051i
\(361\) −9.55323 + 6.13949i −0.502802 + 0.323131i
\(362\) 1.52292 5.18659i 0.0800429 0.272601i
\(363\) 45.5533 19.0016i 2.39093 0.997326i
\(364\) 0.842203 + 2.86828i 0.0441435 + 0.150339i
\(365\) 2.75582 18.2047i 0.144246 0.952879i
\(366\) 4.48718 + 1.48109i 0.234549 + 0.0774181i
\(367\) 30.6724 1.60109 0.800543 0.599275i \(-0.204544\pi\)
0.800543 + 0.599275i \(0.204544\pi\)
\(368\) 2.21787 + 4.25218i 0.115615 + 0.221660i
\(369\) −7.80955 + 5.90698i −0.406549 + 0.307505i
\(370\) 1.38527 0.620219i 0.0720167 0.0322436i
\(371\) −7.03626 3.21335i −0.365305 0.166829i
\(372\) 13.7930 + 2.45314i 0.715134 + 0.127189i
\(373\) −7.37935 + 8.51622i −0.382088 + 0.440953i −0.913919 0.405898i \(-0.866959\pi\)
0.531830 + 0.846851i \(0.321504\pi\)
\(374\) −0.435671 + 1.48376i −0.0225280 + 0.0767234i
\(375\) 15.6846 + 11.3575i 0.809950 + 0.586499i
\(376\) −0.0756206 0.165586i −0.00389984 0.00853945i
\(377\) −9.90099 11.4264i −0.509927 0.588487i
\(378\) −2.51715 + 6.20749i −0.129468 + 0.319279i
\(379\) 18.8303 + 2.70738i 0.967246 + 0.139069i 0.607794 0.794095i \(-0.292055\pi\)
0.359452 + 0.933164i \(0.382964\pi\)
\(380\) 1.66254 + 12.2072i 0.0852866 + 0.626216i
\(381\) −19.1147 + 11.4056i −0.979274 + 0.584327i
\(382\) 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 \(0.528786\pi\)
\(384\) −1.72166 + 0.189429i −0.0878581 + 0.00966674i
\(385\) 0.134761 18.1152i 0.00686805 0.923239i
\(386\) −4.12080 3.57070i −0.209743 0.181744i
\(387\) −19.0745 14.1316i −0.969612 0.718347i
\(388\) −3.34054 + 7.31475i −0.169590 + 0.371350i
\(389\) −0.957239 6.65775i −0.0485340 0.337561i −0.999592 0.0285499i \(-0.990911\pi\)
0.951058 0.309011i \(-0.0999980\pi\)
\(390\) 8.83049 + 1.63840i 0.447149 + 0.0829634i
\(391\) 1.09761 + 0.433358i 0.0555087 + 0.0219159i
\(392\) −5.33818 −0.269619
\(393\) −32.2767 10.6536i −1.62814 0.537405i
\(394\) 1.18811 2.60161i 0.0598564 0.131067i
\(395\) 6.88861 4.35497i 0.346603 0.219122i
\(396\) 18.8123 + 1.25150i 0.945354 + 0.0628901i
\(397\) 3.69826 12.5951i 0.185610 0.632131i −0.813136 0.582074i \(-0.802241\pi\)
0.998746 0.0500572i \(-0.0159404\pi\)
\(398\) −7.62070 11.8580i −0.381991 0.594390i
\(399\) 12.2952 + 0.408519i 0.615528 + 0.0204515i
\(400\) 4.77598 + 1.47988i 0.238799 + 0.0739940i
\(401\) −18.6090 11.9593i −0.929289 0.597218i −0.0139502 0.999903i \(-0.504441\pi\)
−0.915339 + 0.402685i \(0.868077\pi\)
\(402\) 0.959286 1.38899i 0.0478448 0.0692767i
\(403\) −18.5655 2.66931i −0.924812 0.132968i
\(404\) 6.22219 9.68191i 0.309565 0.481693i
\(405\) 13.2169 + 15.1761i 0.656752 + 0.754106i
\(406\) −7.64537 + 3.49152i −0.379433 + 0.173281i
\(407\) −3.58863 + 2.30627i −0.177882 + 0.114318i
\(408\) −0.289637 + 0.312647i −0.0143392 + 0.0154783i
\(409\) 1.77718 2.05098i 0.0878759 0.101414i −0.710109 0.704092i \(-0.751354\pi\)
0.797985 + 0.602678i \(0.205900\pi\)
\(410\) 6.16903 3.90006i 0.304667 0.192610i
\(411\) −8.64728 10.6762i −0.426539 0.526617i
\(412\) −1.26519 8.79960i −0.0623315 0.433525i
\(413\) 12.9641i 0.637920i
\(414\) 2.24758 14.2109i 0.110462 0.698425i
\(415\) −5.14987 + 1.47061i −0.252797 + 0.0721896i
\(416\) 2.29533 0.330019i 0.112538 0.0161805i
\(417\) −10.2361 + 8.29086i −0.501266 + 0.406005i
\(418\) −9.75526 33.2234i −0.477145 1.62501i
\(419\) −3.90481 + 4.50640i −0.190763 + 0.220152i −0.843072 0.537801i \(-0.819255\pi\)
0.652309 + 0.757953i \(0.273800\pi\)
\(420\) 2.25691 4.45349i 0.110126 0.217308i
\(421\) −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
\(423\) −0.113429 + 0.534199i −0.00551511 + 0.0259737i
\(424\) −3.24409 + 5.04791i −0.157547 + 0.245148i
\(425\) 1.12660 0.494380i 0.0546483 0.0239810i
\(426\) 11.3350 + 7.82832i 0.549181 + 0.379283i
\(427\) −1.90138 + 2.95860i −0.0920142 + 0.143177i
\(428\) −11.1970 + 9.70230i −0.541230 + 0.468978i
\(429\) −25.2284 0.838237i −1.21804 0.0404705i
\(430\) 13.2856 + 11.6862i 0.640691 + 0.563560i
\(431\) −2.76353 0.811446i −0.133115 0.0390860i 0.214497 0.976725i \(-0.431189\pi\)
−0.347611 + 0.937639i \(0.613007\pi\)
\(432\) 4.48842 + 2.61804i 0.215949 + 0.125960i
\(433\) −19.7842 + 5.80915i −0.950766 + 0.279170i −0.720106 0.693864i \(-0.755907\pi\)
−0.230660 + 0.973034i \(0.574089\pi\)
\(434\) −4.33146 + 9.48457i −0.207917 + 0.455274i
\(435\) −1.02626 + 25.2306i −0.0492053 + 1.20972i
\(436\) 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 \(0.814247\pi\)
\(440\) −13.8946 2.10335i −0.662397 0.100273i
\(441\) 12.8679 + 9.53330i 0.612756 + 0.453967i
\(442\) 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 \(0.754602\pi\)
\(444\) −1.16861 + 0.128578i −0.0554598 + 0.00610206i
\(445\) 29.1425 24.8750i 1.38149 1.17919i
\(446\) −4.32713 + 3.74948i −0.204896 + 0.177543i
\(447\) −3.72912 6.24963i −0.176381 0.295598i
\(448\) 0.183460 1.27599i 0.00866768 0.0602850i
\(449\) −27.5767 3.96493i −1.30142 0.187116i −0.543472 0.839427i \(-0.682891\pi\)
−0.757952 + 0.652311i \(0.773800\pi\)
\(450\) −8.86978 12.0966i −0.418125 0.570238i
\(451\) −15.5026 + 13.4331i −0.729987 + 0.632538i
\(452\) 3.30219 1.50806i 0.155322 0.0709331i
\(453\) 6.83317 0.751831i 0.321050 0.0353241i
\(454\) 1.03703 3.53181i 0.0486703 0.165756i
\(455\) −2.82197 + 6.05956i −0.132296 + 0.284076i
\(456\) 1.67103 9.39551i 0.0782530 0.439985i
\(457\) −12.6846 + 27.7754i −0.593361 + 1.29928i 0.340029 + 0.940415i \(0.389563\pi\)
−0.933390 + 0.358864i \(0.883164\pi\)
\(458\) 15.3896 2.21268i 0.719107 0.103392i
\(459\) 1.25653 0.236392i 0.0586496 0.0110338i
\(460\) −2.55606 + 10.4147i −0.119177 + 0.485589i
\(461\) 1.99913i 0.0931087i −0.998916 0.0465543i \(-0.985176\pi\)
0.998916 0.0465543i \(-0.0148241\pi\)
\(462\) −4.39831 + 13.3253i −0.204628 + 0.619948i
\(463\) 33.3228 + 15.2180i 1.54864 + 0.707240i 0.992316 0.123725i \(-0.0394842\pi\)
0.556324 + 0.830966i \(0.312211\pi\)
\(464\) 1.83687 + 6.25580i 0.0852745 + 0.290418i
\(465\) 19.5351 + 24.4888i 0.905919 + 1.13564i
\(466\) 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 \(0.710947\pi\)
\(468\) −6.12234 3.30364i −0.283005 0.152711i
\(469\) 0.822748 + 0.949501i 0.0379910 + 0.0438439i
\(470\) 0.117580 0.389693i 0.00542357 0.0179752i
\(471\) 5.70966 8.26728i 0.263087 0.380936i
\(472\) 9.95420 + 1.43120i 0.458179 + 0.0658762i
\(473\) −41.8357 26.8862i −1.92361 1.23623i
\(474\) −6.11279 + 1.57639i −0.280770 + 0.0724062i
\(475\) −15.2368 + 22.9508i −0.699111 + 1.05306i
\(476\) −0.171492 0.266846i −0.00786030 0.0122309i
\(477\) 16.8349 6.37463i 0.770817 0.291874i
\(478\) −14.7856 12.8118i −0.676276 0.585996i
\(479\) −28.4537 + 8.35476i −1.30008 + 0.381739i −0.857266 0.514873i \(-0.827839\pi\)
−0.442817 + 0.896612i \(0.646021\pi\)
\(480\) −3.17037 2.22458i −0.144707 0.101538i
\(481\) 1.55800 0.224007i 0.0710387 0.0102138i
\(482\) 8.86844i 0.403946i
\(483\) 9.82392 + 4.26097i 0.447004 + 0.193881i
\(484\) 28.4966 1.29530
\(485\) −16.4114 + 7.34779i −0.745203 + 0.333646i
\(486\) −6.14401 14.3266i −0.278698 0.649867i
\(487\) 0.555668 + 1.89243i 0.0251797 + 0.0857542i 0.971124 0.238574i \(-0.0766800\pi\)
−0.945945 + 0.324328i \(0.894862\pi\)
\(488\) 2.06180 + 1.78656i 0.0933332 + 0.0808737i
\(489\) 8.76595 9.46236i 0.396410 0.427903i
\(490\) −8.96264 7.88366i −0.404891 0.356148i
\(491\) 4.38831 2.00408i 0.198042 0.0904426i −0.313925 0.949448i \(-0.601644\pi\)
0.511967 + 0.859005i \(0.328917\pi\)
\(492\) −5.47426 + 1.41173i −0.246799 + 0.0636456i
\(493\) 1.34962 + 0.867346i 0.0607837 + 0.0390633i
\(494\) −1.81828 + 12.6464i −0.0818082 + 0.568989i
\(495\) 29.7370 + 29.8841i 1.33658 + 1.34319i
\(496\) 6.80436 + 4.37290i 0.305525 + 0.196349i
\(497\) −7.74847 + 6.71409i −0.347566 + 0.301168i
\(498\) 4.14624 + 0.137763i 0.185798 + 0.00617331i
\(499\) 12.1326 7.79717i 0.543131 0.349049i −0.240131 0.970740i \(-0.577190\pi\)
0.783262 + 0.621691i \(0.213554\pi\)
\(500\) 5.83316 + 9.53804i 0.260867 + 0.426554i
\(501\) 36.6301 15.2795i 1.63651 0.682637i
\(502\) 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 \(0.318773\pi\)
\(504\) −2.72099 + 2.74819i −0.121203 + 0.122414i
\(505\) 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 0.0480985 0.998843i \(-0.484684\pi\)
−0.723377 + 0.690453i \(0.757411\pi\)
\(510\) −0.948022 + 0.0971757i −0.0419791 + 0.00430301i
\(511\) −8.02211 6.95120i −0.354877 0.307503i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −20.8072 + 19.6639i −0.918661 + 0.868184i
\(514\) −0.0141828 0.0310560i −0.000625576 0.00136982i
\(515\) 10.8714 16.6427i 0.479052 0.733366i
\(516\) −7.02288 11.7697i −0.309165 0.518131i
\(517\) −0.162813 + 1.13239i −0.00716049 + 0.0498023i
\(518\) 0.124527 0.866106i 0.00547141 0.0380545i
\(519\) −17.6921 29.6502i −0.776598 1.30150i
\(520\) 4.34117 + 2.83575i 0.190373 + 0.124356i
\(521\) 1.98564 + 4.34794i 0.0869924 + 0.190487i 0.948128 0.317888i \(-0.102974\pi\)
−0.861136 + 0.508375i \(0.830246\pi\)
\(522\) 6.74421 18.3602i 0.295186 0.803606i
\(523\) −13.9264 4.08917i −0.608960 0.178807i −0.0373093 0.999304i \(-0.511879\pi\)
−0.571651 + 0.820497i \(0.693697\pi\)
\(524\) −14.8307 12.8509i −0.647882 0.561393i
\(525\) 10.3664 4.14416i 0.452427 0.180866i
\(526\) −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
\(531\) −21.4390 21.2268i −0.930373 0.921167i
\(532\) 6.46069 + 2.95050i 0.280107 + 0.127920i
\(533\) 7.26233 2.13241i 0.314567 0.0923651i
\(534\) −27.3913 + 11.4257i −1.18534 + 0.494439i
\(535\) −33.1283 0.246444i −1.43226 0.0106547i
\(536\) 0.819885 0.526908i 0.0354136 0.0227590i
\(537\) 38.7040 + 1.28598i 1.67020 + 0.0554940i
\(538\) −18.4819 + 16.0146i −0.796811 + 0.690440i
\(539\) 28.2228 + 18.1377i 1.21564 + 0.781246i
\(540\) 3.66947 + 11.0243i 0.157909 + 0.474410i
\(541\) 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
\(543\) −9.06608 + 2.33800i −0.389063 + 0.100333i
\(544\) −0.223825 + 0.102217i −0.00959640 + 0.00438253i
\(545\) −15.2244 + 17.3081i −0.652143 + 0.741397i
\(546\) 3.51878 3.79832i 0.150590 0.162553i
\(547\) −4.68351 4.05828i −0.200252 0.173520i 0.548962 0.835847i \(-0.315023\pi\)
−0.749214 + 0.662328i \(0.769569\pi\)
\(548\) −2.23474 7.61083i −0.0954634 0.325119i
\(549\) −1.77947 7.98866i −0.0759461 0.340948i
\(550\) −20.2222 24.0516i −0.862278 1.02556i
\(551\) −35.9222 −1.53034
\(552\) 4.35624 7.07271i 0.185414 0.301034i
\(553\) 4.69842i 0.199797i
\(554\) 28.4562 4.09138i 1.20899 0.173826i
\(555\) −2.15195 1.50998i −0.0913452 0.0640950i
\(556\) −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 \(0.730238\pi\)
\(558\) −8.59272 22.6927i −0.363759 0.960659i
\(559\) 9.92059 + 15.4367i 0.419596 + 0.652904i
\(560\) 2.19247 1.87141i 0.0926486 0.0790815i
\(561\) 2.59359 0.668847i 0.109501 0.0282387i
\(562\) 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 \(0.773575\pi\)
\(564\) −0.179176 + 0.259437i −0.00754467 + 0.0109243i
\(565\) 7.77143 + 2.34483i 0.326947 + 0.0986478i
\(566\) −8.99748 10.3836i −0.378192 0.436457i
\(567\) 11.4670 1.76526i 0.481567 0.0741340i
\(568\) 4.29987 + 6.69073i 0.180419 + 0.280737i
\(569\) 15.1172 + 4.43880i 0.633745 + 0.186084i 0.582798 0.812617i \(-0.301958\pi\)
0.0509468 + 0.998701i \(0.483776\pi\)
\(570\) 16.6813 13.3069i 0.698702 0.557365i
\(571\) 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
\(573\) 12.6787 38.4120i 0.529662 1.60468i
\(574\) 4.20763i 0.175623i
\(575\) −19.6725 + 13.7111i −0.820399 + 0.571792i
\(576\) 1.80975 + 2.39265i 0.0754063 + 0.0996939i
\(577\) 15.4156 2.21643i 0.641761 0.0922713i 0.186251 0.982502i \(-0.440366\pi\)
0.455510 + 0.890231i \(0.349457\pi\)
\(578\) 7.03690 15.4087i 0.292697 0.640916i
\(579\) −1.65373 + 9.29827i −0.0687268 + 0.386423i
\(580\) −6.15480 + 13.2161i −0.255564 + 0.548767i
\(581\) −0.869886 + 2.96256i −0.0360889 + 0.122908i
\(582\) 13.8446 1.52328i 0.573879 0.0631420i
\(583\) 34.3029 15.6656i 1.42068 0.648802i
\(584\) −6.22296 + 5.39223i −0.257508 + 0.223132i
\(585\) −5.40026 14.5884i −0.223273 0.603158i
\(586\) −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 \(0.931985\pi\)
\(588\) 4.73771 + 7.93994i 0.195380 + 0.327438i
\(589\) −33.6791 + 29.1831i −1.38772 + 1.20247i
\(590\) 14.5991 + 17.1037i 0.601036 + 0.704149i
\(591\) −4.92407 + 0.541779i −0.202549 + 0.0222858i
\(592\) −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 \(0.208697\pi\)
\(594\) −14.8347 29.0919i −0.608677 1.19365i
\(595\) 0.106161 0.701292i 0.00435218 0.0287502i
\(596\) −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 \(0.0582303\pi\)
−0.983314 + 0.181917i \(0.941770\pi\)
\(600\) −2.03759 8.41714i −0.0831844 0.343628i
\(601\) 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
\(603\) −2.91735 0.194078i −0.118804 0.00790346i
\(604\) 3.80817 + 1.11818i 0.154952 + 0.0454981i
\(605\) 47.8448 + 42.0850i 1.94517 + 1.71100i
\(606\) −19.9230 0.661962i −0.809318 0.0268904i
\(607\) −30.7899 + 26.6796i −1.24972 + 1.08289i −0.256516 + 0.966540i \(0.582575\pi\)
−0.993208 + 0.116352i \(0.962880\pi\)
\(608\) 2.97873 4.63499i 0.120803 0.187974i
\(609\) 11.9786 + 8.27285i 0.485398 + 0.335233i
\(610\) 0.823226 + 6.04453i 0.0333314 + 0.244736i
\(611\) 0.228221 0.355119i 0.00923283 0.0143666i
\(612\) 0.722084 + 0.153323i 0.0291885 + 0.00619773i
\(613\) 9.77007 + 21.3935i 0.394609 + 0.864074i 0.997789 + 0.0664684i \(0.0211732\pi\)
−0.603179 + 0.797606i \(0.706100\pi\)
\(614\) 6.72453 + 10.4636i 0.271380 + 0.422275i
\(615\) −11.2760 5.71438i −0.454692 0.230426i
\(616\) −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 \(0.968291\pi\)
\(618\) −11.9655 + 9.69160i −0.481324 + 0.389853i
\(619\) 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
\(621\) −23.1318 + 9.26932i −0.928247 + 0.371965i
\(622\) 12.7086i 0.509570i
\(623\) −3.14360 21.8642i −0.125946 0.875972i
\(624\) −2.52800 3.12115i −0.101201 0.124946i
\(625\) −4.29251 + 24.6287i −0.171700 + 0.985149i
\(626\) −1.20283 + 1.38814i −0.0480747 + 0.0554811i
\(627\) −40.7580 + 43.9960i −1.62772 + 1.75703i
\(628\) 4.87995 3.13615i 0.194731 0.125146i
\(629\) −0.151925 + 0.0693820i −0.00605766 + 0.00276644i
\(630\) −8.62711 + 0.595638i −0.343712 + 0.0237308i
\(631\) −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
\(633\) 21.2152 30.7184i 0.843229 1.22095i
\(634\) −0.204268 0.131275i −0.00811250 0.00521359i
\(635\) −24.0581 15.7153i −0.954717 0.623643i
\(636\) 10.3874 + 0.345131i 0.411886 + 0.0136853i
\(637\) −6.69254 10.4138i −0.265168 0.412609i
\(638\) 11.5440 39.3154i 0.457033 1.55651i
\(639\) 1.58379 23.8072i 0.0626536 0.941800i
\(640\) −1.19488 1.89004i −0.0472319 0.0747104i
\(641\) 13.0538 28.5838i 0.515594 1.12899i −0.455487 0.890243i \(-0.650535\pi\)
0.971081 0.238751i \(-0.0767379\pi\)
\(642\) 24.3686 + 8.04341i 0.961752 + 0.317448i
\(643\) −45.0590 −1.77695 −0.888477 0.458922i \(-0.848236\pi\)
−0.888477 + 0.458922i \(0.848236\pi\)
\(644\) 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 \(0.842010\pi\)
\(648\) −0.0895001 8.99955i −0.00351590 0.353536i
\(649\) −47.7647 41.3884i −1.87493 1.62464i
\(650\) 3.10072 + 11.1724i 0.121620 + 0.438217i
\(651\) 17.9515 1.97514i 0.703573 0.0774118i
\(652\) 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 \(-0.619497\pi\)
\(654\) 15.3331 9.14917i 0.599572 0.357761i
\(655\) −5.92153 43.4788i −0.231373 1.69886i
\(656\) −3.23075 0.464511i −0.126139 0.0181361i
\(657\) 24.6305 1.88475i 0.960926 0.0735310i
\(658\) −0.153673 0.177348i −0.00599081 0.00691376i
\(659\) 8.60340 + 18.8388i 0.335141 + 0.733856i 0.999913 0.0131899i \(-0.00419860\pi\)
−0.664772 + 0.747046i \(0.731471\pi\)
\(660\) 9.20313 + 22.5333i 0.358231 + 0.877109i
\(661\) 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
\(663\) −0.973036 0.173058i −0.0377896 0.00672103i
\(664\) 2.17871 + 0.994983i 0.0845503 + 0.0386128i
\(665\) 6.48987 + 14.4952i 0.251666 + 0.562101i
\(666\) 1.22840 + 1.62406i 0.0475997 + 0.0629311i
\(667\) −29.0836 11.4828i −1.12612 0.444614i
\(668\) 22.9145 0.886590
\(669\) 9.41732 + 3.10840i 0.364095 + 0.120178i
\(670\) 2.15472 + 0.326180i 0.0832442 + 0.0126014i
\(671\) −4.83042 16.4509i −0.186476 0.635080i
\(672\) −2.06072 + 0.859586i −0.0794939 + 0.0331593i
\(673\) −1.35231 + 4.60555i −0.0521278 + 0.177531i −0.981442 0.191759i \(-0.938581\pi\)
0.929314 + 0.369290i \(0.120399\pi\)
\(674\) −22.6344 + 14.5462i −0.871844 + 0.560300i
\(675\) −10.1202 + 23.9287i −0.389528 + 0.921015i
\(676\) −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 \(0.0128001\pi\)
\(678\) −5.17380 3.57320i −0.198699 0.137228i
\(679\) −1.47528 + 10.2608i −0.0566162 + 0.393774i
\(680\) −0.526753 0.158934i −0.0202001 0.00609486i
\(681\) −6.17354 + 1.59206i −0.236571 + 0.0610079i
\(682\) −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 \(0.0697612\pi\)
\(684\) −15.4578 + 5.85318i −0.591044 + 0.223802i
\(685\) 7.48795 16.0787i 0.286100 0.614336i
\(686\) −15.2611 + 4.48105i −0.582670 + 0.171087i
\(687\) −16.9496 20.9264i −0.646666 0.798393i
\(688\) −1.12613 7.83244i −0.0429335 0.298609i
\(689\) −13.9147 −0.530107
\(690\) 17.7593 5.44136i 0.676084 0.207149i
\(691\) 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
\(693\) 23.7234 5.28439i 0.901178 0.200737i
\(694\) −27.8996 + 8.19205i −1.05905 + 0.310966i
\(695\) −15.4160 7.17931i −0.584761 0.272327i
\(696\) 7.67455 8.28425i 0.290903 0.314014i
\(697\) −0.675640 + 0.434207i −0.0255917 + 0.0164468i
\(698\) −10.7389 23.5149i −0.406474 0.890054i
\(699\) −6.97866 27.0612i −0.263957 1.02355i
\(700\) 6.44486 + 0.0958931i 0.243593 + 0.00362442i
\(701\) −3.10574 + 21.6009i −0.117302 + 0.815855i 0.843204 + 0.537595i \(0.180667\pi\)
−0.960506 + 0.278260i \(0.910242\pi\)
\(702\) 0.519877 + 12.0383i 0.0196215 + 0.454357i
\(703\) 2.02187 3.14609i 0.0762563 0.118657i
\(704\) 4.11556 + 4.74961i 0.155111 + 0.179008i
\(705\) −0.683979 + 0.170971i −0.0257601 + 0.00643916i
\(706\) 30.6654 19.7075i 1.15411 0.741701i
\(707\) 4.17987 14.2353i 0.157200 0.535375i
\(708\) −6.70575 16.0759i −0.252017 0.604171i
\(709\) −0.653430 2.22538i −0.0245401 0.0835759i 0.946313 0.323253i \(-0.104777\pi\)
−0.970853 + 0.239677i \(0.922958\pi\)
\(710\) −2.66182 + 17.5838i −0.0998962 + 0.659907i
\(711\) 7.76990 + 7.69301i 0.291394 + 0.288510i
\(712\) −17.1351 −0.642164
\(713\) −36.5961 + 12.8617i −1.37053 + 0.481675i
\(714\) −0.244702 + 0.491904i −0.00915774 + 0.0184090i
\(715\) −13.3165 29.7427i −0.498010 1.11231i
\(716\) 20.3376 + 9.28789i 0.760053 + 0.347105i
\(717\) −5.93364 + 33.3625i −0.221596 + 1.24594i
\(718\) 19.8702 22.9315i 0.741550 0.855794i
\(719\) 10.3905 35.3868i 0.387500 1.31971i −0.502828 0.864386i \(-0.667707\pi\)
0.890329 0.455319i \(-0.150475\pi\)
\(720\) −0.495061 + 6.68991i −0.0184498 + 0.249318i
\(721\) −4.76080 10.4247i −0.177301 0.388236i
\(722\) 7.43657 + 8.58225i 0.276760 + 0.319398i
\(723\) 13.1908 7.87087i 0.490571 0.292721i
\(724\) −5.35053 0.769291i −0.198851 0.0285905i
\(725\) −29.8518 + 13.0997i −1.10867 + 0.486509i
\(726\) −25.2911 42.3854i −0.938642 1.57307i
\(727\) 3.70264 + 4.27308i 0.137323 + 0.158480i 0.820246 0.572011i \(-0.193837\pi\)
−0.682922 + 0.730491i \(0.739291\pi\)
\(728\) 2.71923 1.24183i 0.100781 0.0460253i
\(729\) −15.8563 + 21.8536i −0.587270 + 0.809391i
\(730\) −18.4116 0.136966i −0.681445 0.00506933i
\(731\) −1.47150 1.27506i −0.0544254 0.0471599i
\(732\) 0.827427 4.65229i 0.0305826 0.171953i
\(733\) 12.2467 26.8165i 0.452341 0.990489i −0.536826 0.843693i \(-0.680377\pi\)
0.989167 0.146796i \(-0.0468960\pi\)
\(734\) −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
\(738\) 6.95827 + 6.88941i 0.256137 + 0.253603i
\(739\) 14.0481 30.7609i 0.516766 1.13156i −0.453883 0.891061i \(-0.649962\pi\)
0.970649 0.240499i \(-0.0773110\pi\)
\(740\) −0.811050 1.28290i −0.0298148 0.0471604i
\(741\) 20.4238 8.51938i 0.750289 0.312967i
\(742\) −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 \(0.663541\pi\)
\(744\) 0.465221 14.0017i 0.0170558 0.513328i
\(745\) 5.13820 7.86592i 0.188249 0.288185i
\(746\) 9.47973 + 6.09225i 0.347078 + 0.223053i
\(747\) −3.47494 6.28933i −0.127141 0.230115i
\(748\) 1.53066 + 0.220076i 0.0559665 + 0.00804677i
\(749\) −10.3259 + 16.0673i −0.377299 + 0.587088i
\(750\) 9.00974 17.1413i 0.328989 0.625912i
\(751\) 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
\(753\) −16.6508 15.4253i −0.606788 0.562130i
\(754\) −9.90099 + 11.4264i −0.360573 + 0.416123i
\(755\) 4.74242 + 7.50146i 0.172594 + 0.273006i
\(756\) 6.50254 + 1.60811i 0.236495 + 0.0584865i
\(757\) −2.88087 20.0369i −0.104707 0.728253i −0.972766 0.231791i \(-0.925541\pi\)
0.868058 0.496462i \(-0.165368\pi\)
\(758\) 19.0239i 0.690980i
\(759\) −47.0624 + 22.5919i −1.70826 + 0.820032i
\(760\) 11.8463 3.38288i 0.429712 0.122710i
\(761\) −16.1644 + 2.32409i −0.585958 + 0.0842481i −0.428917 0.903344i \(-0.641105\pi\)
−0.157041 + 0.987592i \(0.550196\pi\)
\(762\) 14.0098 + 17.2969i 0.507522 + 0.626601i
\(763\) 3.74399 + 12.7509i 0.135542 + 0.461613i
\(764\) 15.2936 17.6498i 0.553304 0.638547i
\(765\) 0.985921 + 1.32383i 0.0356460 + 0.0478632i
\(766\) 10.4931 + 16.3276i 0.379131 + 0.589939i
\(767\) 9.68769 + 21.2131i 0.349802 + 0.765960i
\(768\) 0.432518 + 1.67718i 0.0156072 + 0.0605200i
\(769\) −10.8173 + 16.8321i −0.390082 + 0.606980i −0.979644 0.200744i \(-0.935664\pi\)
0.589562 + 0.807723i \(0.299300\pi\)
\(770\) −17.9500 + 2.44468i −0.646875 + 0.0881001i
\(771\) −0.0336048 + 0.0486579i −0.00121025 + 0.00175237i
\(772\) −2.94790 + 4.58702i −0.106097 + 0.165091i
\(773\) 11.3512 9.83588i 0.408275 0.353772i −0.426381