Properties

Label 165.2.r.a.29.14
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.14
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.413334 - 0.568905i) q^{2} +(1.53256 + 0.807004i) q^{3} +(0.465226 + 1.43182i) q^{4} +(-2.00721 + 0.985452i) q^{5} +(1.09257 - 0.538320i) q^{6} +(-0.615368 - 1.89391i) q^{7} +(2.34444 + 0.761754i) q^{8} +(1.69749 + 2.47357i) q^{9} +O(q^{10})\) \(q+(0.413334 - 0.568905i) q^{2} +(1.53256 + 0.807004i) q^{3} +(0.465226 + 1.43182i) q^{4} +(-2.00721 + 0.985452i) q^{5} +(1.09257 - 0.538320i) q^{6} +(-0.615368 - 1.89391i) q^{7} +(2.34444 + 0.761754i) q^{8} +(1.69749 + 2.47357i) q^{9} +(-0.269018 + 1.54923i) q^{10} +(3.26241 - 0.597209i) q^{11} +(-0.442496 + 2.56979i) q^{12} +(-3.43403 - 2.49497i) q^{13} +(-1.33181 - 0.432730i) q^{14} +(-3.87143 - 0.109561i) q^{15} +(-1.03355 + 0.750920i) q^{16} +(-2.51291 - 3.45873i) q^{17} +(2.10885 + 0.0566991i) q^{18} +(0.257486 + 0.0836623i) q^{19} +(-2.34479 - 2.41550i) q^{20} +(0.585303 - 3.39914i) q^{21} +(1.00871 - 2.10285i) q^{22} +4.30856 q^{23} +(2.97826 + 3.05941i) q^{24} +(3.05777 - 3.95601i) q^{25} +(-2.83880 + 0.922383i) q^{26} +(0.605325 + 5.16077i) q^{27} +(2.42545 - 1.76219i) q^{28} +(-2.26468 - 6.96997i) q^{29} +(-1.66252 + 2.15719i) q^{30} +(-5.24479 - 3.81056i) q^{31} +5.82855i q^{32} +(5.48180 + 1.71752i) q^{33} -3.00636 q^{34} +(3.10153 + 3.19505i) q^{35} +(-2.75198 + 3.58126i) q^{36} +(-5.66863 + 1.84185i) q^{37} +(0.154024 - 0.111905i) q^{38} +(-3.24941 - 6.59498i) q^{39} +(-5.45645 + 0.781331i) q^{40} +(-2.95108 + 9.08248i) q^{41} +(-1.69186 - 1.73796i) q^{42} +1.68949 q^{43} +(2.37285 + 4.39334i) q^{44} +(-5.84479 - 3.29217i) q^{45} +(1.78087 - 2.45116i) q^{46} +(0.0723398 - 0.222639i) q^{47} +(-2.18998 + 0.316750i) q^{48} +(2.45491 - 1.78359i) q^{49} +(-0.986717 - 3.37473i) q^{50} +(-1.05998 - 7.32864i) q^{51} +(1.97474 - 6.07763i) q^{52} +(5.61095 + 4.07659i) q^{53} +(3.18619 + 1.78875i) q^{54} +(-5.95982 + 4.41367i) q^{55} -4.90891i q^{56} +(0.327097 + 0.336010i) q^{57} +(-4.90132 - 1.59253i) q^{58} +(-10.0360 + 3.26089i) q^{59} +(-1.64422 - 5.59416i) q^{60} +(5.68030 + 7.81826i) q^{61} +(-4.33570 + 1.40875i) q^{62} +(3.64013 - 4.73704i) q^{63} +(1.24878 + 0.907295i) q^{64} +(9.35149 + 1.62385i) q^{65} +(3.24292 - 2.40871i) q^{66} +0.901700i q^{67} +(3.78319 - 5.20712i) q^{68} +(6.60313 + 3.47703i) q^{69} +(3.09965 - 0.443851i) q^{70} +(0.309146 + 0.425503i) q^{71} +(2.09541 + 7.09219i) q^{72} +(3.18366 + 9.79830i) q^{73} +(-1.29520 + 3.98621i) q^{74} +(7.87874 - 3.59520i) q^{75} +0.407595i q^{76} +(-3.13864 - 5.81121i) q^{77} +(-5.09501 - 0.877318i) q^{78} +(0.132574 - 0.182473i) q^{79} +(1.33456 - 2.52577i) q^{80} +(-3.23707 + 8.39770i) q^{81} +(3.94729 + 5.43298i) q^{82} +(-1.18199 - 1.62687i) q^{83} +(5.13924 - 0.743318i) q^{84} +(8.45235 + 4.46603i) q^{85} +(0.698323 - 0.961159i) q^{86} +(2.15403 - 12.5095i) q^{87} +(8.10345 + 1.08504i) q^{88} -15.8563i q^{89} +(-4.28878 + 1.96437i) q^{90} +(-2.61205 + 8.03907i) q^{91} +(2.00445 + 6.16907i) q^{92} +(-4.96282 - 10.0725i) q^{93} +(-0.0967600 - 0.133179i) q^{94} +(-0.599274 + 0.0858125i) q^{95} +(-4.70366 + 8.93261i) q^{96} +(1.94083 - 2.67133i) q^{97} -2.13383i q^{98} +(7.01514 + 7.05604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.413334 0.568905i 0.292271 0.402277i −0.637479 0.770468i \(-0.720023\pi\)
0.929750 + 0.368191i \(0.120023\pi\)
\(3\) 1.53256 + 0.807004i 0.884825 + 0.465924i
\(4\) 0.465226 + 1.43182i 0.232613 + 0.715909i
\(5\) −2.00721 + 0.985452i −0.897651 + 0.440707i
\(6\) 1.09257 0.538320i 0.446039 0.219768i
\(7\) −0.615368 1.89391i −0.232587 0.715830i −0.997432 0.0716158i \(-0.977184\pi\)
0.764845 0.644214i \(-0.222816\pi\)
\(8\) 2.34444 + 0.761754i 0.828884 + 0.269321i
\(9\) 1.69749 + 2.47357i 0.565829 + 0.824522i
\(10\) −0.269018 + 1.54923i −0.0850711 + 0.489910i
\(11\) 3.26241 0.597209i 0.983655 0.180065i
\(12\) −0.442496 + 2.56979i −0.127738 + 0.741834i
\(13\) −3.43403 2.49497i −0.952429 0.691980i −0.00104920 0.999999i \(-0.500334\pi\)
−0.951380 + 0.308019i \(0.900334\pi\)
\(14\) −1.33181 0.432730i −0.355940 0.115652i
\(15\) −3.87143 0.109561i −0.999600 0.0282884i
\(16\) −1.03355 + 0.750920i −0.258388 + 0.187730i
\(17\) −2.51291 3.45873i −0.609471 0.838864i 0.387063 0.922053i \(-0.373490\pi\)
−0.996534 + 0.0831888i \(0.973490\pi\)
\(18\) 2.10885 + 0.0566991i 0.497062 + 0.0133641i
\(19\) 0.257486 + 0.0836623i 0.0590714 + 0.0191935i 0.338404 0.941001i \(-0.390113\pi\)
−0.279332 + 0.960195i \(0.590113\pi\)
\(20\) −2.34479 2.41550i −0.524312 0.540122i
\(21\) 0.585303 3.39914i 0.127724 0.741752i
\(22\) 1.00871 2.10285i 0.215058 0.448329i
\(23\) 4.30856 0.898397 0.449198 0.893432i \(-0.351710\pi\)
0.449198 + 0.893432i \(0.351710\pi\)
\(24\) 2.97826 + 3.05941i 0.607934 + 0.624499i
\(25\) 3.05777 3.95601i 0.611554 0.791203i
\(26\) −2.83880 + 0.922383i −0.556735 + 0.180894i
\(27\) 0.605325 + 5.16077i 0.116495 + 0.993191i
\(28\) 2.42545 1.76219i 0.458366 0.333023i
\(29\) −2.26468 6.96997i −0.420540 1.29429i −0.907200 0.420699i \(-0.861785\pi\)
0.486660 0.873591i \(-0.338215\pi\)
\(30\) −1.66252 + 2.15719i −0.303534 + 0.393848i
\(31\) −5.24479 3.81056i −0.941992 0.684397i 0.00690742 0.999976i \(-0.497801\pi\)
−0.948899 + 0.315579i \(0.897801\pi\)
\(32\) 5.82855i 1.03035i
\(33\) 5.48180 + 1.71752i 0.954259 + 0.298982i
\(34\) −3.00636 −0.515586
\(35\) 3.10153 + 3.19505i 0.524254 + 0.540063i
\(36\) −2.75198 + 3.58126i −0.458664 + 0.596877i
\(37\) −5.66863 + 1.84185i −0.931917 + 0.302798i −0.735346 0.677692i \(-0.762980\pi\)
−0.196571 + 0.980490i \(0.562980\pi\)
\(38\) 0.154024 0.111905i 0.0249859 0.0181533i
\(39\) −3.24941 6.59498i −0.520323 1.05604i
\(40\) −5.45645 + 0.781331i −0.862740 + 0.123539i
\(41\) −2.95108 + 9.08248i −0.460881 + 1.41844i 0.403210 + 0.915108i \(0.367895\pi\)
−0.864090 + 0.503337i \(0.832105\pi\)
\(42\) −1.69186 1.73796i −0.261060 0.268173i
\(43\) 1.68949 0.257645 0.128822 0.991668i \(-0.458880\pi\)
0.128822 + 0.991668i \(0.458880\pi\)
\(44\) 2.37285 + 4.39334i 0.357721 + 0.662322i
\(45\) −5.84479 3.29217i −0.871290 0.490768i
\(46\) 1.78087 2.45116i 0.262575 0.361404i
\(47\) 0.0723398 0.222639i 0.0105518 0.0324752i −0.945642 0.325210i \(-0.894565\pi\)
0.956194 + 0.292734i \(0.0945652\pi\)
\(48\) −2.18998 + 0.316750i −0.316096 + 0.0457189i
\(49\) 2.45491 1.78359i 0.350701 0.254799i
\(50\) −0.986717 3.37473i −0.139543 0.477260i
\(51\) −1.05998 7.32864i −0.148427 1.02622i
\(52\) 1.97474 6.07763i 0.273848 0.842816i
\(53\) 5.61095 + 4.07659i 0.770723 + 0.559963i 0.902180 0.431359i \(-0.141966\pi\)
−0.131458 + 0.991322i \(0.541966\pi\)
\(54\) 3.18619 + 1.78875i 0.433586 + 0.243418i
\(55\) −5.95982 + 4.41367i −0.803622 + 0.595140i
\(56\) 4.90891i 0.655981i
\(57\) 0.327097 + 0.336010i 0.0433251 + 0.0445056i
\(58\) −4.90132 1.59253i −0.643574 0.209110i
\(59\) −10.0360 + 3.26089i −1.30657 + 0.424531i −0.877864 0.478911i \(-0.841032\pi\)
−0.428710 + 0.903442i \(0.641032\pi\)
\(60\) −1.64422 5.59416i −0.212268 0.722203i
\(61\) 5.68030 + 7.81826i 0.727288 + 1.00103i 0.999250 + 0.0387180i \(0.0123274\pi\)
−0.271962 + 0.962308i \(0.587673\pi\)
\(62\) −4.33570 + 1.40875i −0.550634 + 0.178912i
\(63\) 3.64013 4.73704i 0.458613 0.596811i
\(64\) 1.24878 + 0.907295i 0.156098 + 0.113412i
\(65\) 9.35149 + 1.62385i 1.15991 + 0.201414i
\(66\) 3.24292 2.40871i 0.399176 0.296492i
\(67\) 0.901700i 0.110160i 0.998482 + 0.0550801i \(0.0175414\pi\)
−0.998482 + 0.0550801i \(0.982459\pi\)
\(68\) 3.78319 5.20712i 0.458780 0.631456i
\(69\) 6.60313 + 3.47703i 0.794924 + 0.418585i
\(70\) 3.09965 0.443851i 0.370479 0.0530504i
\(71\) 0.309146 + 0.425503i 0.0366889 + 0.0504979i 0.826967 0.562250i \(-0.190064\pi\)
−0.790278 + 0.612748i \(0.790064\pi\)
\(72\) 2.09541 + 7.09219i 0.246946 + 0.835823i
\(73\) 3.18366 + 9.79830i 0.372619 + 1.14680i 0.945071 + 0.326866i \(0.105992\pi\)
−0.572451 + 0.819939i \(0.694008\pi\)
\(74\) −1.29520 + 3.98621i −0.150564 + 0.463387i
\(75\) 7.87874 3.59520i 0.909759 0.415138i
\(76\) 0.407595i 0.0467544i
\(77\) −3.13864 5.81121i −0.357682 0.662249i
\(78\) −5.09501 0.877318i −0.576896 0.0993367i
\(79\) 0.132574 0.182473i 0.0149158 0.0205298i −0.801494 0.598003i \(-0.795961\pi\)
0.816410 + 0.577473i \(0.195961\pi\)
\(80\) 1.33456 2.52577i 0.149208 0.282390i
\(81\) −3.23707 + 8.39770i −0.359674 + 0.933078i
\(82\) 3.94729 + 5.43298i 0.435905 + 0.599972i
\(83\) −1.18199 1.62687i −0.129740 0.178572i 0.739205 0.673480i \(-0.235201\pi\)
−0.868945 + 0.494909i \(0.835201\pi\)
\(84\) 5.13924 0.743318i 0.560737 0.0811027i
\(85\) 8.45235 + 4.46603i 0.916786 + 0.484409i
\(86\) 0.698323 0.961159i 0.0753021 0.103644i
\(87\) 2.15403 12.5095i 0.230937 1.34116i
\(88\) 8.10345 + 1.08504i 0.863831 + 0.115665i
\(89\) 15.8563i 1.68076i −0.541995 0.840382i \(-0.682331\pi\)
0.541995 0.840382i \(-0.317669\pi\)
\(90\) −4.28878 + 1.96437i −0.452077 + 0.207062i
\(91\) −2.61205 + 8.03907i −0.273817 + 0.842724i
\(92\) 2.00445 + 6.16907i 0.208979 + 0.643170i
\(93\) −4.96282 10.0725i −0.514620 1.04447i
\(94\) −0.0967600 0.133179i −0.00998003 0.0137363i
\(95\) −0.599274 + 0.0858125i −0.0614842 + 0.00880417i
\(96\) −4.70366 + 8.93261i −0.480066 + 0.911681i
\(97\) 1.94083 2.67133i 0.197062 0.271232i −0.699038 0.715084i \(-0.746388\pi\)
0.896100 + 0.443852i \(0.146388\pi\)
\(98\) 2.13383i 0.215549i
\(99\) 7.01514 + 7.05604i 0.705049 + 0.709159i
\(100\) 7.08684 + 2.53773i 0.708684 + 0.253773i
\(101\) 1.38290 + 1.00474i 0.137604 + 0.0999752i 0.654458 0.756098i \(-0.272897\pi\)
−0.516854 + 0.856074i \(0.672897\pi\)
\(102\) −4.60743 2.42614i −0.456203 0.240224i
\(103\) 5.63920 1.83229i 0.555647 0.180541i −0.0177148 0.999843i \(-0.505639\pi\)
0.573361 + 0.819303i \(0.305639\pi\)
\(104\) −6.15032 8.46519i −0.603089 0.830080i
\(105\) 2.17486 + 7.39956i 0.212245 + 0.722123i
\(106\) 4.63839 1.50710i 0.450520 0.146383i
\(107\) −3.00951 0.977849i −0.290940 0.0945322i 0.159911 0.987131i \(-0.448879\pi\)
−0.450851 + 0.892599i \(0.648879\pi\)
\(108\) −7.10767 + 3.26764i −0.683936 + 0.314429i
\(109\) 3.60358i 0.345160i −0.984996 0.172580i \(-0.944790\pi\)
0.984996 0.172580i \(-0.0552103\pi\)
\(110\) 0.0475657 + 5.21489i 0.00453521 + 0.497221i
\(111\) −10.1739 1.75186i −0.965664 0.166279i
\(112\) 2.05819 + 1.49536i 0.194481 + 0.141298i
\(113\) −2.37599 + 7.31255i −0.223515 + 0.687907i 0.774924 + 0.632054i \(0.217788\pi\)
−0.998439 + 0.0558532i \(0.982212\pi\)
\(114\) 0.326358 0.0472031i 0.0305662 0.00442098i
\(115\) −8.64818 + 4.24588i −0.806447 + 0.395930i
\(116\) 8.92613 6.48522i 0.828771 0.602137i
\(117\) 0.342248 12.7295i 0.0316409 1.17684i
\(118\) −2.29307 + 7.05735i −0.211095 + 0.649682i
\(119\) −5.00415 + 6.88762i −0.458729 + 0.631387i
\(120\) −8.99288 3.20594i −0.820934 0.292661i
\(121\) 10.2867 3.89669i 0.935153 0.354244i
\(122\) 6.79571 0.615254
\(123\) −11.8523 + 11.5379i −1.06869 + 1.04034i
\(124\) 3.01602 9.28235i 0.270847 0.833580i
\(125\) −2.23912 + 10.9538i −0.200273 + 0.979740i
\(126\) −1.19034 4.02887i −0.106044 0.358920i
\(127\) −8.13967 + 5.91381i −0.722279 + 0.524766i −0.887111 0.461555i \(-0.847292\pi\)
0.164833 + 0.986322i \(0.447292\pi\)
\(128\) −10.0542 + 3.26682i −0.888677 + 0.288749i
\(129\) 2.58925 + 1.36342i 0.227970 + 0.120043i
\(130\) 4.78911 4.64892i 0.420032 0.407737i
\(131\) 15.8485 1.38469 0.692345 0.721567i \(-0.256578\pi\)
0.692345 + 0.721567i \(0.256578\pi\)
\(132\) 0.0910953 + 8.64797i 0.00792883 + 0.752709i
\(133\) 0.539138i 0.0467492i
\(134\) 0.512982 + 0.372703i 0.0443149 + 0.0321966i
\(135\) −6.30071 9.76223i −0.542278 0.840199i
\(136\) −3.25667 10.0230i −0.279257 0.859464i
\(137\) 10.2568 7.45199i 0.876296 0.636667i −0.0559727 0.998432i \(-0.517826\pi\)
0.932269 + 0.361766i \(0.117826\pi\)
\(138\) 4.70739 2.31938i 0.400720 0.197439i
\(139\) −14.4997 + 4.71125i −1.22985 + 0.399603i −0.850661 0.525715i \(-0.823798\pi\)
−0.379192 + 0.925318i \(0.623798\pi\)
\(140\) −3.13182 + 5.92724i −0.264687 + 0.500943i
\(141\) 0.290536 0.282829i 0.0244675 0.0238185i
\(142\) 0.369851 0.0310372
\(143\) −12.6933 6.08879i −1.06146 0.509170i
\(144\) −3.61190 1.28188i −0.300991 0.106824i
\(145\) 11.4142 + 11.7584i 0.947902 + 0.976485i
\(146\) 6.89022 + 2.23877i 0.570238 + 0.185282i
\(147\) 5.20166 0.752347i 0.429026 0.0620526i
\(148\) −5.27438 7.25957i −0.433552 0.596733i
\(149\) −7.06258 + 5.13126i −0.578589 + 0.420370i −0.838215 0.545340i \(-0.816401\pi\)
0.259626 + 0.965709i \(0.416401\pi\)
\(150\) 1.21122 5.96827i 0.0988958 0.487307i
\(151\) −17.9932 5.84634i −1.46426 0.475768i −0.534895 0.844919i \(-0.679649\pi\)
−0.929370 + 0.369150i \(0.879649\pi\)
\(152\) 0.539930 + 0.392282i 0.0437941 + 0.0318183i
\(153\) 4.28975 12.0870i 0.346806 0.977176i
\(154\) −4.60333 0.616378i −0.370947 0.0496691i
\(155\) 14.2825 + 2.48011i 1.14720 + 0.199207i
\(156\) 7.93109 7.72072i 0.634996 0.618152i
\(157\) 13.5930 + 4.41663i 1.08484 + 0.352486i 0.796250 0.604968i \(-0.206814\pi\)
0.288589 + 0.957453i \(0.406814\pi\)
\(158\) −0.0490124 0.150845i −0.00389921 0.0120005i
\(159\) 5.30929 + 10.7757i 0.421054 + 0.854567i
\(160\) −5.74375 11.6991i −0.454084 0.924896i
\(161\) −2.65135 8.16002i −0.208956 0.643100i
\(162\) 3.43951 + 5.31264i 0.270233 + 0.417400i
\(163\) −13.2562 + 18.2456i −1.03831 + 1.42910i −0.139780 + 0.990183i \(0.544640\pi\)
−0.898525 + 0.438922i \(0.855360\pi\)
\(164\) −14.3774 −1.12268
\(165\) −12.6956 + 1.95462i −0.988355 + 0.152167i
\(166\) −1.41409 −0.109754
\(167\) 3.15252 4.33906i 0.243949 0.335767i −0.669432 0.742874i \(-0.733462\pi\)
0.913381 + 0.407107i \(0.133462\pi\)
\(168\) 3.96151 7.52321i 0.305637 0.580428i
\(169\) 1.55048 + 4.77189i 0.119268 + 0.367069i
\(170\) 6.03439 2.96262i 0.462816 0.227223i
\(171\) 0.230135 + 0.778925i 0.0175989 + 0.0595659i
\(172\) 0.785994 + 2.41904i 0.0599315 + 0.184450i
\(173\) −15.5063 5.03829i −1.17892 0.383054i −0.346954 0.937882i \(-0.612784\pi\)
−0.831965 + 0.554828i \(0.812784\pi\)
\(174\) −6.22639 6.39604i −0.472021 0.484883i
\(175\) −9.37398 3.35673i −0.708606 0.253745i
\(176\) −2.92342 + 3.06706i −0.220361 + 0.231188i
\(177\) −18.0123 3.10157i −1.35389 0.233128i
\(178\) −9.02072 6.55394i −0.676132 0.491239i
\(179\) −0.255080 0.0828804i −0.0190655 0.00619477i 0.299469 0.954106i \(-0.403191\pi\)
−0.318534 + 0.947911i \(0.603191\pi\)
\(180\) 1.99464 9.90028i 0.148672 0.737923i
\(181\) −0.172984 + 0.125680i −0.0128578 + 0.00934174i −0.594196 0.804321i \(-0.702529\pi\)
0.581338 + 0.813662i \(0.302529\pi\)
\(182\) 3.49382 + 4.80883i 0.258979 + 0.356454i
\(183\) 2.39604 + 16.5660i 0.177120 + 1.22459i
\(184\) 10.1012 + 3.28206i 0.744667 + 0.241957i
\(185\) 9.56307 9.28313i 0.703091 0.682510i
\(186\) −7.78159 1.33993i −0.570574 0.0982481i
\(187\) −10.2637 9.78306i −0.750559 0.715408i
\(188\) 0.352433 0.0257038
\(189\) 9.40153 4.32221i 0.683861 0.314394i
\(190\) −0.198881 + 0.376399i −0.0144283 + 0.0273068i
\(191\) −3.78974 + 1.23136i −0.274216 + 0.0890981i −0.442897 0.896573i \(-0.646049\pi\)
0.168681 + 0.985671i \(0.446049\pi\)
\(192\) 1.18165 + 2.39826i 0.0852781 + 0.173080i
\(193\) 13.1028 9.51974i 0.943160 0.685246i −0.00601903 0.999982i \(-0.501916\pi\)
0.949179 + 0.314736i \(0.101916\pi\)
\(194\) −0.717520 2.20830i −0.0515149 0.158547i
\(195\) 13.0213 + 10.0353i 0.932473 + 0.718646i
\(196\) 3.69587 + 2.68521i 0.263991 + 0.191800i
\(197\) 5.69572i 0.405803i 0.979199 + 0.202902i \(0.0650371\pi\)
−0.979199 + 0.202902i \(0.934963\pi\)
\(198\) 6.91381 1.07445i 0.491343 0.0763579i
\(199\) 12.2362 0.867398 0.433699 0.901058i \(-0.357208\pi\)
0.433699 + 0.901058i \(0.357208\pi\)
\(200\) 10.1823 6.94536i 0.719995 0.491111i
\(201\) −0.727676 + 1.38191i −0.0513263 + 0.0974724i
\(202\) 1.14320 0.371449i 0.0804354 0.0261350i
\(203\) −11.8069 + 8.57819i −0.828680 + 0.602071i
\(204\) 10.0001 4.92718i 0.700150 0.344971i
\(205\) −3.02692 21.1386i −0.211409 1.47638i
\(206\) 1.28847 3.96551i 0.0897722 0.276290i
\(207\) 7.31373 + 10.6575i 0.508339 + 0.740748i
\(208\) 5.42278 0.376002
\(209\) 0.889990 + 0.119168i 0.0615619 + 0.00824303i
\(210\) 5.10859 + 1.82120i 0.352526 + 0.125675i
\(211\) −2.15988 + 2.97283i −0.148693 + 0.204658i −0.876866 0.480736i \(-0.840370\pi\)
0.728173 + 0.685393i \(0.240370\pi\)
\(212\) −3.22658 + 9.93039i −0.221602 + 0.682022i
\(213\) 0.130402 + 0.901591i 0.00893502 + 0.0617760i
\(214\) −1.80023 + 1.30795i −0.123061 + 0.0894094i
\(215\) −3.39116 + 1.66491i −0.231275 + 0.113546i
\(216\) −2.51209 + 12.5602i −0.170926 + 0.854615i
\(217\) −3.98938 + 12.2780i −0.270817 + 0.833488i
\(218\) −2.05009 1.48948i −0.138850 0.100880i
\(219\) −3.02812 + 17.5857i −0.204621 + 1.18833i
\(220\) −9.09224 6.48003i −0.612999 0.436883i
\(221\) 18.1470i 1.22070i
\(222\) −5.20186 + 5.06388i −0.349126 + 0.339865i
\(223\) −15.0251 4.88195i −1.00616 0.326920i −0.240833 0.970567i \(-0.577421\pi\)
−0.765323 + 0.643647i \(0.777421\pi\)
\(224\) 11.0387 3.58670i 0.737557 0.239647i
\(225\) 14.9760 + 0.848314i 0.998400 + 0.0565542i
\(226\) 3.17807 + 4.37424i 0.211402 + 0.290970i
\(227\) −1.32797 + 0.431484i −0.0881405 + 0.0286386i −0.352755 0.935716i \(-0.614755\pi\)
0.264615 + 0.964354i \(0.414755\pi\)
\(228\) −0.328931 + 0.624665i −0.0217840 + 0.0413694i
\(229\) 8.52126 + 6.19106i 0.563101 + 0.409117i 0.832593 0.553886i \(-0.186856\pi\)
−0.269492 + 0.963003i \(0.586856\pi\)
\(230\) −1.15908 + 6.67496i −0.0764276 + 0.440134i
\(231\) −0.120495 11.4389i −0.00792796 0.752627i
\(232\) 18.0658i 1.18608i
\(233\) 9.20055 12.6635i 0.602748 0.829611i −0.393208 0.919449i \(-0.628635\pi\)
0.995956 + 0.0898380i \(0.0286349\pi\)
\(234\) −7.10041 5.45624i −0.464168 0.356685i
\(235\) 0.0741990 + 0.518170i 0.00484021 + 0.0338017i
\(236\) −9.33799 12.8526i −0.607852 0.836636i
\(237\) 0.350435 0.172663i 0.0227632 0.0112157i
\(238\) 1.85002 + 5.69377i 0.119919 + 0.369072i
\(239\) 5.67665 17.4709i 0.367192 1.13010i −0.581405 0.813614i \(-0.697497\pi\)
0.948597 0.316487i \(-0.102503\pi\)
\(240\) 4.08360 2.79390i 0.263595 0.180346i
\(241\) 1.75403i 0.112987i 0.998403 + 0.0564935i \(0.0179920\pi\)
−0.998403 + 0.0564935i \(0.982008\pi\)
\(242\) 2.03499 7.46278i 0.130814 0.479725i
\(243\) −11.7380 + 10.2577i −0.752992 + 0.658029i
\(244\) −8.55170 + 11.7704i −0.547467 + 0.753523i
\(245\) −3.16986 + 5.99924i −0.202515 + 0.383277i
\(246\) 1.66503 + 11.5118i 0.106158 + 0.733969i
\(247\) −0.675481 0.929720i −0.0429798 0.0591567i
\(248\) −9.39337 12.9289i −0.596480 0.820984i
\(249\) −0.498580 3.44714i −0.0315962 0.218454i
\(250\) 5.30618 + 5.80143i 0.335592 + 0.366915i
\(251\) −6.58509 + 9.06359i −0.415647 + 0.572089i −0.964584 0.263775i \(-0.915033\pi\)
0.548937 + 0.835863i \(0.315033\pi\)
\(252\) 8.47606 + 3.00821i 0.533942 + 0.189499i
\(253\) 14.0563 2.57311i 0.883712 0.161770i
\(254\) 7.07508i 0.443930i
\(255\) 9.34963 + 13.6655i 0.585497 + 0.855770i
\(256\) −3.25123 + 10.0063i −0.203202 + 0.625391i
\(257\) −1.92104 5.91235i −0.119831 0.368802i 0.873093 0.487554i \(-0.162111\pi\)
−0.992924 + 0.118752i \(0.962111\pi\)
\(258\) 1.84588 0.909485i 0.114920 0.0566221i
\(259\) 6.97659 + 9.60245i 0.433504 + 0.596667i
\(260\) 2.02549 + 14.1451i 0.125616 + 0.877241i
\(261\) 13.3964 17.4333i 0.829217 1.07909i
\(262\) 6.55072 9.01629i 0.404705 0.557028i
\(263\) 24.0702i 1.48423i 0.670272 + 0.742116i \(0.266178\pi\)
−0.670272 + 0.742116i \(0.733822\pi\)
\(264\) 11.5434 + 8.20241i 0.710448 + 0.504823i
\(265\) −15.2796 2.65325i −0.938620 0.162988i
\(266\) −0.306719 0.222844i −0.0188061 0.0136634i
\(267\) 12.7961 24.3007i 0.783108 1.48718i
\(268\) −1.29107 + 0.419494i −0.0788647 + 0.0256247i
\(269\) 14.8417 + 20.4278i 0.904912 + 1.24550i 0.968875 + 0.247552i \(0.0796262\pi\)
−0.0639625 + 0.997952i \(0.520374\pi\)
\(270\) −8.15807 0.450554i −0.496485 0.0274199i
\(271\) 21.3742 6.94489i 1.29839 0.421872i 0.423368 0.905958i \(-0.360848\pi\)
0.875020 + 0.484086i \(0.160848\pi\)
\(272\) 5.19446 + 1.68778i 0.314960 + 0.102337i
\(273\) −10.4907 + 10.2124i −0.634926 + 0.618084i
\(274\) 8.91530i 0.538593i
\(275\) 7.61314 14.7323i 0.459090 0.888390i
\(276\) −1.90652 + 11.0721i −0.114759 + 0.666461i
\(277\) 7.91369 + 5.74963i 0.475488 + 0.345462i 0.799576 0.600565i \(-0.205058\pi\)
−0.324088 + 0.946027i \(0.605058\pi\)
\(278\) −3.31298 + 10.1963i −0.198699 + 0.611533i
\(279\) 0.522715 19.4417i 0.0312941 1.16395i
\(280\) 4.83749 + 9.85320i 0.289096 + 0.588842i
\(281\) −11.0817 + 8.05131i −0.661078 + 0.480301i −0.867027 0.498262i \(-0.833972\pi\)
0.205949 + 0.978563i \(0.433972\pi\)
\(282\) −0.0408148 0.282190i −0.00243049 0.0168042i
\(283\) 9.22512 28.3920i 0.548376 1.68773i −0.164448 0.986386i \(-0.552584\pi\)
0.712824 0.701343i \(-0.247416\pi\)
\(284\) −0.465420 + 0.640595i −0.0276176 + 0.0380123i
\(285\) −0.987674 0.352103i −0.0585048 0.0208568i
\(286\) −8.71049 + 4.70455i −0.515062 + 0.278186i
\(287\) 19.0174 1.12256
\(288\) −14.4173 + 9.89389i −0.849548 + 0.583003i
\(289\) −0.394774 + 1.21499i −0.0232220 + 0.0714700i
\(290\) 11.4073 1.63346i 0.669861 0.0959202i
\(291\) 5.13022 2.52771i 0.300739 0.148177i
\(292\) −12.5483 + 9.11684i −0.734331 + 0.533523i
\(293\) 23.2050 7.53977i 1.35565 0.440478i 0.461063 0.887367i \(-0.347468\pi\)
0.894589 + 0.446889i \(0.147468\pi\)
\(294\) 1.72201 3.27022i 0.100430 0.190723i
\(295\) 16.9309 16.4353i 0.985753 0.956897i
\(296\) −14.6928 −0.854001
\(297\) 5.05688 + 16.4751i 0.293430 + 0.955981i
\(298\) 6.13886i 0.355615i
\(299\) −14.7957 10.7497i −0.855660 0.621673i
\(300\) 8.81306 + 9.60834i 0.508822 + 0.554738i
\(301\) −1.03966 3.19974i −0.0599249 0.184430i
\(302\) −10.7632 + 7.81992i −0.619353 + 0.449986i
\(303\) 1.30856 + 2.65583i 0.0751746 + 0.152574i
\(304\) −0.328949 + 0.106882i −0.0188665 + 0.00613011i
\(305\) −19.1061 10.0952i −1.09401 0.578051i
\(306\) −5.10326 7.43643i −0.291734 0.425112i
\(307\) −7.28242 −0.415630 −0.207815 0.978168i \(-0.566635\pi\)
−0.207815 + 0.978168i \(0.566635\pi\)
\(308\) 6.86041 7.19749i 0.390908 0.410115i
\(309\) 10.1211 + 1.74277i 0.575768 + 0.0991425i
\(310\) 7.31439 7.10028i 0.415429 0.403269i
\(311\) 2.25383 + 0.732315i 0.127803 + 0.0415258i 0.372220 0.928144i \(-0.378597\pi\)
−0.244417 + 0.969670i \(0.578597\pi\)
\(312\) −2.59430 17.9368i −0.146873 1.01547i
\(313\) −8.58863 11.8212i −0.485458 0.668175i 0.494084 0.869414i \(-0.335503\pi\)
−0.979542 + 0.201239i \(0.935503\pi\)
\(314\) 8.13109 5.90758i 0.458864 0.333384i
\(315\) −2.63837 + 13.0954i −0.148655 + 0.737842i
\(316\) 0.322945 + 0.104931i 0.0181671 + 0.00590284i
\(317\) −20.0536 14.5698i −1.12632 0.818319i −0.141165 0.989986i \(-0.545085\pi\)
−0.985155 + 0.171667i \(0.945085\pi\)
\(318\) 8.32485 + 1.43347i 0.466834 + 0.0803850i
\(319\) −11.5508 21.3864i −0.646723 1.19741i
\(320\) −3.40067 0.590514i −0.190103 0.0330107i
\(321\) −3.82313 3.92730i −0.213386 0.219200i
\(322\) −5.73817 1.86444i −0.319776 0.103901i
\(323\) −0.357675 1.10081i −0.0199016 0.0612507i
\(324\) −13.5299 0.728065i −0.751664 0.0404480i
\(325\) −20.3706 + 5.95603i −1.12996 + 0.330381i
\(326\) 4.90077 + 15.0830i 0.271429 + 0.835372i
\(327\) 2.90810 5.52270i 0.160818 0.305406i
\(328\) −13.8372 + 19.0453i −0.764033 + 1.05160i
\(329\) −0.466174 −0.0257010
\(330\) −4.13554 + 8.03053i −0.227654 + 0.442066i
\(331\) 10.2699 0.564483 0.282242 0.959343i \(-0.408922\pi\)
0.282242 + 0.959343i \(0.408922\pi\)
\(332\) 1.77948 2.44925i 0.0976619 0.134420i
\(333\) −14.1784 10.8952i −0.776970 0.597054i
\(334\) −1.16548 3.58696i −0.0637720 0.196270i
\(335\) −0.888582 1.80990i −0.0485484 0.0988854i
\(336\) 1.94754 + 3.95270i 0.106247 + 0.215638i
\(337\) −2.70961 8.33932i −0.147602 0.454272i 0.849735 0.527211i \(-0.176762\pi\)
−0.997336 + 0.0729391i \(0.976762\pi\)
\(338\) 3.35562 + 1.09031i 0.182522 + 0.0593049i
\(339\) −9.54262 + 9.28950i −0.518284 + 0.504536i
\(340\) −2.46229 + 14.1799i −0.133537 + 0.769015i
\(341\) −19.3864 9.29939i −1.04983 0.503590i
\(342\) 0.538257 + 0.191031i 0.0291056 + 0.0103298i
\(343\) −16.1660 11.7453i −0.872883 0.634187i
\(344\) 3.96090 + 1.28697i 0.213558 + 0.0693890i
\(345\) −16.6803 0.472049i −0.898037 0.0254142i
\(346\) −9.27557 + 6.73910i −0.498658 + 0.362296i
\(347\) −9.19468 12.6554i −0.493596 0.679377i 0.487450 0.873151i \(-0.337927\pi\)
−0.981046 + 0.193774i \(0.937927\pi\)
\(348\) 18.9134 2.73556i 1.01387 0.146642i
\(349\) −28.9739 9.41418i −1.55094 0.503929i −0.596567 0.802563i \(-0.703469\pi\)
−0.954368 + 0.298633i \(0.903469\pi\)
\(350\) −5.78424 + 3.94546i −0.309181 + 0.210893i
\(351\) 10.7973 19.2325i 0.576316 1.02656i
\(352\) 3.48086 + 19.0151i 0.185531 + 1.01351i
\(353\) 18.4443 0.981692 0.490846 0.871246i \(-0.336688\pi\)
0.490846 + 0.871246i \(0.336688\pi\)
\(354\) −9.20959 + 8.96531i −0.489484 + 0.476501i
\(355\) −1.03983 0.549424i −0.0551886 0.0291604i
\(356\) 22.7033 7.37676i 1.20327 0.390967i
\(357\) −13.2275 + 6.51733i −0.700073 + 0.344933i
\(358\) −0.152584 + 0.110859i −0.00806432 + 0.00585907i
\(359\) 5.34445 + 16.4485i 0.282069 + 0.868120i 0.987262 + 0.159104i \(0.0508606\pi\)
−0.705192 + 0.709016i \(0.749139\pi\)
\(360\) −11.1949 12.1706i −0.590025 0.641446i
\(361\) −15.3120 11.1248i −0.805896 0.585518i
\(362\) 0.150359i 0.00790271i
\(363\) 18.9096 + 2.32949i 0.992497 + 0.122266i
\(364\) −12.7257 −0.667007
\(365\) −16.0460 16.5299i −0.839887 0.865214i
\(366\) 10.4148 + 5.48417i 0.544392 + 0.286662i
\(367\) −2.16652 + 0.703945i −0.113091 + 0.0367456i −0.365016 0.931001i \(-0.618937\pi\)
0.251925 + 0.967747i \(0.418937\pi\)
\(368\) −4.45313 + 3.23539i −0.232135 + 0.168656i
\(369\) −27.4755 + 8.11771i −1.43032 + 0.422591i
\(370\) −1.32848 9.27751i −0.0690646 0.482315i
\(371\) 4.26789 13.1352i 0.221578 0.681947i
\(372\) 12.1131 11.7918i 0.628037 0.611378i
\(373\) 29.7264 1.53917 0.769587 0.638542i \(-0.220462\pi\)
0.769587 + 0.638542i \(0.220462\pi\)
\(374\) −9.80798 + 1.79542i −0.507159 + 0.0928392i
\(375\) −12.2714 + 14.9804i −0.633691 + 0.773586i
\(376\) 0.339192 0.466858i 0.0174925 0.0240764i
\(377\) −9.61288 + 29.5854i −0.495089 + 1.52373i
\(378\) 1.42705 7.13509i 0.0733993 0.366990i
\(379\) 16.8851 12.2677i 0.867328 0.630151i −0.0625406 0.998042i \(-0.519920\pi\)
0.929869 + 0.367892i \(0.119920\pi\)
\(380\) −0.401665 0.818128i −0.0206050 0.0419691i
\(381\) −17.2470 + 2.49454i −0.883591 + 0.127799i
\(382\) −0.865899 + 2.66496i −0.0443032 + 0.136351i
\(383\) 6.84780 + 4.97522i 0.349906 + 0.254222i 0.748830 0.662763i \(-0.230616\pi\)
−0.398924 + 0.916984i \(0.630616\pi\)
\(384\) −18.0451 3.10721i −0.920858 0.158564i
\(385\) 12.0266 + 8.57132i 0.612931 + 0.436835i
\(386\) 11.3891i 0.579689i
\(387\) 2.86789 + 4.17906i 0.145783 + 0.212434i
\(388\) 4.72778 + 1.53615i 0.240017 + 0.0779861i
\(389\) 25.0694 8.14555i 1.27107 0.412996i 0.405643 0.914031i \(-0.367048\pi\)
0.865427 + 0.501036i \(0.167048\pi\)
\(390\) 11.0913 3.25992i 0.561630 0.165073i
\(391\) −10.8270 14.9021i −0.547547 0.753633i
\(392\) 7.11404 2.31149i 0.359313 0.116748i
\(393\) 24.2888 + 12.7898i 1.22521 + 0.645160i
\(394\) 3.24032 + 2.35423i 0.163245 + 0.118605i
\(395\) −0.0862861 + 0.496907i −0.00434153 + 0.0250021i
\(396\) −6.83934 + 13.3271i −0.343690 + 0.669710i
\(397\) 19.7388i 0.990662i 0.868704 + 0.495331i \(0.164953\pi\)
−0.868704 + 0.495331i \(0.835047\pi\)
\(398\) 5.05761 6.96121i 0.253515 0.348934i
\(399\) 0.435087 0.826263i 0.0217816 0.0413649i
\(400\) −0.189717 + 6.38489i −0.00948585 + 0.319245i
\(401\) 20.7738 + 28.5926i 1.03739 + 1.42785i 0.899249 + 0.437436i \(0.144113\pi\)
0.138143 + 0.990412i \(0.455887\pi\)
\(402\) 0.485403 + 0.985168i 0.0242097 + 0.0491357i
\(403\) 8.50354 + 26.1712i 0.423591 + 1.30368i
\(404\) −0.795240 + 2.44750i −0.0395647 + 0.121768i
\(405\) −1.77806 20.0459i −0.0883524 0.996089i
\(406\) 10.2626i 0.509326i
\(407\) −17.3934 + 9.39423i −0.862161 + 0.465655i
\(408\) 3.09755 17.9890i 0.153352 0.890588i
\(409\) 3.86369 5.31791i 0.191047 0.262954i −0.702739 0.711448i \(-0.748040\pi\)
0.893786 + 0.448495i \(0.148040\pi\)
\(410\) −13.2770 7.01525i −0.655703 0.346459i
\(411\) 21.7329 3.14336i 1.07201 0.155051i
\(412\) 5.24700 + 7.22188i 0.258501 + 0.355796i
\(413\) 12.3516 + 17.0006i 0.607785 + 0.836544i
\(414\) 9.08612 + 0.244292i 0.446559 + 0.0120063i
\(415\) 3.97569 + 2.10067i 0.195159 + 0.103118i
\(416\) 14.5421 20.0154i 0.712983 0.981337i
\(417\) −26.0238 4.48107i −1.27439 0.219439i
\(418\) 0.435658 0.457064i 0.0213087 0.0223557i
\(419\) 1.69814i 0.0829594i −0.999139 0.0414797i \(-0.986793\pi\)
0.999139 0.0414797i \(-0.0132072\pi\)
\(420\) −9.58302 + 6.55647i −0.467604 + 0.319923i
\(421\) 5.97401 18.3861i 0.291155 0.896084i −0.693330 0.720620i \(-0.743857\pi\)
0.984486 0.175464i \(-0.0561427\pi\)
\(422\) 0.798503 + 2.45754i 0.0388705 + 0.119631i
\(423\) 0.673509 0.198990i 0.0327471 0.00967521i
\(424\) 10.0492 + 13.8315i 0.488030 + 0.671716i
\(425\) −21.3667 0.634877i −1.03644 0.0307960i
\(426\) 0.566819 + 0.298471i 0.0274625 + 0.0144610i
\(427\) 11.3116 15.5691i 0.547407 0.753440i
\(428\) 4.76399i 0.230276i
\(429\) −14.5395 19.5750i −0.701974 0.945088i
\(430\) −0.454504 + 2.61741i −0.0219181 + 0.126223i
\(431\) −14.8290 10.7739i −0.714287 0.518960i 0.170267 0.985398i \(-0.445537\pi\)
−0.884554 + 0.466438i \(0.845537\pi\)
\(432\) −4.50097 4.87938i −0.216553 0.234759i
\(433\) −6.21706 + 2.02005i −0.298773 + 0.0970772i −0.454568 0.890712i \(-0.650206\pi\)
0.155795 + 0.987789i \(0.450206\pi\)
\(434\) 5.33610 + 7.34451i 0.256141 + 0.352548i
\(435\) 8.00392 + 27.2319i 0.383759 + 1.30567i
\(436\) 5.15967 1.67648i 0.247103 0.0802887i
\(437\) 1.10939 + 0.360464i 0.0530695 + 0.0172433i
\(438\) 8.75298 + 8.99148i 0.418234 + 0.429630i
\(439\) 6.71248i 0.320369i −0.987087 0.160185i \(-0.948791\pi\)
0.987087 0.160185i \(-0.0512090\pi\)
\(440\) −17.3346 + 5.80766i −0.826393 + 0.276870i
\(441\) 8.57902 + 3.04475i 0.408525 + 0.144988i
\(442\) 10.3239 + 7.50078i 0.491059 + 0.356776i
\(443\) 4.76834 14.6754i 0.226551 0.697252i −0.771580 0.636133i \(-0.780533\pi\)
0.998130 0.0611190i \(-0.0194669\pi\)
\(444\) −2.22482 15.3822i −0.105585 0.730006i
\(445\) 15.6256 + 31.8269i 0.740725 + 1.50874i
\(446\) −8.98775 + 6.52999i −0.425582 + 0.309204i
\(447\) −14.9648 + 2.16444i −0.707810 + 0.102375i
\(448\) 0.949872 2.92341i 0.0448772 0.138118i
\(449\) 4.40619 6.06460i 0.207941 0.286206i −0.692289 0.721620i \(-0.743398\pi\)
0.900231 + 0.435414i \(0.143398\pi\)
\(450\) 6.67269 8.16928i 0.314554 0.385104i
\(451\) −4.20349 + 31.3932i −0.197935 + 1.47825i
\(452\) −11.5756 −0.544471
\(453\) −22.8576 23.4804i −1.07395 1.10321i
\(454\) −0.303422 + 0.933836i −0.0142403 + 0.0438271i
\(455\) −2.67918 18.7101i −0.125602 0.877145i
\(456\) 0.510903 + 1.03692i 0.0239252 + 0.0485583i
\(457\) 29.4978 21.4314i 1.37985 1.00252i 0.382954 0.923767i \(-0.374907\pi\)
0.996894 0.0787515i \(-0.0250934\pi\)
\(458\) 7.04425 2.28882i 0.329156 0.106949i
\(459\) 16.3286 15.0622i 0.762153 0.703044i
\(460\) −10.1027 10.4073i −0.471040 0.485244i
\(461\) −9.37436 −0.436607 −0.218304 0.975881i \(-0.570052\pi\)
−0.218304 + 0.975881i \(0.570052\pi\)
\(462\) −6.55747 4.65955i −0.305081 0.216782i
\(463\) 0.0632711i 0.00294046i −0.999999 0.00147023i \(-0.999532\pi\)
0.999999 0.00147023i \(-0.000467989\pi\)
\(464\) 7.57456 + 5.50324i 0.351640 + 0.255481i
\(465\) 19.8874 + 15.3270i 0.922254 + 0.710771i
\(466\) −3.40141 10.4685i −0.157567 0.484943i
\(467\) 22.5665 16.3955i 1.04425 0.758694i 0.0731419 0.997322i \(-0.476697\pi\)
0.971111 + 0.238627i \(0.0766974\pi\)
\(468\) 18.3855 5.43205i 0.849872 0.251097i
\(469\) 1.70774 0.554877i 0.0788560 0.0256219i
\(470\) 0.325459 + 0.171965i 0.0150123 + 0.00793216i
\(471\) 17.2679 + 17.7384i 0.795661 + 0.817341i
\(472\) −26.0127 −1.19733
\(473\) 5.51181 1.00898i 0.253433 0.0463929i
\(474\) 0.0466177 0.270732i 0.00214122 0.0124351i
\(475\) 1.11830 0.762799i 0.0513113 0.0349996i
\(476\) −12.1899 3.96073i −0.558722 0.181540i
\(477\) −0.559207 + 20.7990i −0.0256043 + 0.952322i
\(478\) −7.59295 10.4508i −0.347294 0.478009i
\(479\) −7.89453 + 5.73571i −0.360710 + 0.262071i −0.753348 0.657622i \(-0.771563\pi\)
0.392638 + 0.919693i \(0.371563\pi\)
\(480\) 0.638580 22.5648i 0.0291470 1.02994i
\(481\) 24.0616 + 7.81809i 1.09712 + 0.356474i
\(482\) 0.997876 + 0.724999i 0.0454520 + 0.0330228i
\(483\) 2.52181 14.6454i 0.114746 0.666388i
\(484\) 10.3650 + 12.9158i 0.471135 + 0.587083i
\(485\) −1.26319 + 7.27451i −0.0573586 + 0.330318i
\(486\) 0.983931 + 10.9176i 0.0446320 + 0.495234i
\(487\) 11.8791 + 3.85975i 0.538293 + 0.174902i 0.565531 0.824727i \(-0.308671\pi\)
−0.0272380 + 0.999629i \(0.508671\pi\)
\(488\) 7.36152 + 22.6564i 0.333240 + 1.02561i
\(489\) −35.0402 + 17.2647i −1.58457 + 0.780735i
\(490\) 2.10279 + 4.28304i 0.0949942 + 0.193488i
\(491\) 6.27879 + 19.3241i 0.283358 + 0.872086i 0.986886 + 0.161419i \(0.0516069\pi\)
−0.703528 + 0.710667i \(0.748393\pi\)
\(492\) −22.0342 11.6026i −0.993378 0.523086i
\(493\) −18.4163 + 25.3478i −0.829427 + 1.14161i
\(494\) −0.808121 −0.0363591
\(495\) −21.0342 7.24986i −0.945419 0.325857i
\(496\) 8.28220 0.371882
\(497\) 0.615625 0.847335i 0.0276145 0.0380082i
\(498\) −2.16717 1.14117i −0.0971134 0.0511372i
\(499\) 12.5106 + 38.5036i 0.560050 + 1.72366i 0.682220 + 0.731147i \(0.261015\pi\)
−0.122170 + 0.992509i \(0.538985\pi\)
\(500\) −16.7256 + 1.88999i −0.747991 + 0.0845229i
\(501\) 8.33307 4.10579i 0.372294 0.183433i
\(502\) 2.43449 + 7.49258i 0.108656 + 0.334410i
\(503\) −18.9478 6.15652i −0.844841 0.274505i −0.145557 0.989350i \(-0.546498\pi\)
−0.699284 + 0.714844i \(0.746498\pi\)
\(504\) 12.1425 8.33282i 0.540871 0.371173i
\(505\) −3.76590 0.653935i −0.167580 0.0290997i
\(506\) 4.34609 9.06026i 0.193207 0.402777i
\(507\) −1.47473 + 8.56446i −0.0654950 + 0.380361i
\(508\) −12.2543 8.90326i −0.543696 0.395018i
\(509\) 24.3487 + 7.91139i 1.07924 + 0.350666i 0.794079 0.607814i \(-0.207953\pi\)
0.285160 + 0.958480i \(0.407953\pi\)
\(510\) 11.6389 + 0.329379i 0.515380 + 0.0145851i
\(511\) 16.5980 12.0591i 0.734251 0.533464i
\(512\) −8.07895 11.1197i −0.357042 0.491427i
\(513\) −0.275899 + 1.37947i −0.0121813 + 0.0609051i
\(514\) −4.15760 1.35088i −0.183384 0.0595850i
\(515\) −9.51341 + 9.23494i −0.419211 + 0.406940i
\(516\) −0.747592 + 4.34163i −0.0329109 + 0.191130i
\(517\) 0.103040 0.769543i 0.00453171 0.0338445i
\(518\) 8.34654 0.366726
\(519\) −19.6984 20.2351i −0.864663 0.888223i
\(520\) 20.6870 + 10.9306i 0.907186 + 0.479337i
\(521\) 2.77739 0.902428i 0.121680 0.0395361i −0.247544 0.968877i \(-0.579624\pi\)
0.369224 + 0.929341i \(0.379624\pi\)
\(522\) −4.38069 14.8270i −0.191737 0.648962i
\(523\) 18.1007 13.1509i 0.791488 0.575050i −0.116917 0.993142i \(-0.537301\pi\)
0.908405 + 0.418092i \(0.137301\pi\)
\(524\) 7.37313 + 22.6922i 0.322097 + 0.991312i
\(525\) −11.6573 12.7092i −0.508766 0.554677i
\(526\) 13.6937 + 9.94902i 0.597072 + 0.433798i
\(527\) 27.7159i 1.20732i
\(528\) −6.95545 + 2.34124i −0.302697 + 0.101890i
\(529\) −4.43631 −0.192883
\(530\) −7.82503 + 7.59598i −0.339898 + 0.329948i
\(531\) −25.1020 19.2894i −1.08933 0.837087i
\(532\) 0.771948 0.250821i 0.0334682 0.0108745i
\(533\) 32.7946 23.8267i 1.42049 1.03205i
\(534\) −8.53575 17.3241i −0.369378 0.749686i
\(535\) 7.00433 1.00298i 0.302824 0.0433626i
\(536\) −0.686874 + 2.11398i −0.0296684 + 0.0913100i
\(537\) −0.324040 0.332870i −0.0139834 0.0143644i
\(538\) 17.7560 0.765517
\(539\) 6.94374 7.28492i 0.299088 0.313784i
\(540\) 11.0465 13.5631i 0.475365 0.583663i
\(541\) −11.8895 + 16.3644i −0.511168 + 0.703562i −0.984116 0.177528i \(-0.943190\pi\)
0.472948 + 0.881090i \(0.343190\pi\)
\(542\) 4.88368 15.0304i 0.209772 0.645612i
\(543\) −0.366533 + 0.0530138i −0.0157294 + 0.00227504i
\(544\) 20.1594 14.6466i 0.864325 0.627969i
\(545\) 3.55115 + 7.23313i 0.152115 + 0.309833i
\(546\) 1.47375 + 10.1894i 0.0630705 + 0.436064i
\(547\) −6.37562 + 19.6221i −0.272602 + 0.838982i 0.717242 + 0.696824i \(0.245404\pi\)
−0.989844 + 0.142158i \(0.954596\pi\)
\(548\) 15.4416 + 11.2190i 0.659633 + 0.479251i
\(549\) −9.69675 + 27.3220i −0.413847 + 1.16607i
\(550\) −5.23450 10.4205i −0.223200 0.444332i
\(551\) 1.98414i 0.0845271i
\(552\) 12.8320 + 13.1816i 0.546166 + 0.561048i
\(553\) −0.427169 0.138796i −0.0181651 0.00590220i
\(554\) 6.54199 2.12562i 0.277943 0.0903090i
\(555\) 22.1475 6.50954i 0.940110 0.276314i
\(556\) −13.4913 18.5692i −0.572159 0.787510i
\(557\) −9.96646 + 3.23830i −0.422292 + 0.137211i −0.512451 0.858716i \(-0.671263\pi\)
0.0901589 + 0.995927i \(0.471263\pi\)
\(558\) −10.8444 8.33329i −0.459082 0.352776i
\(559\) −5.80176 4.21523i −0.245388 0.178285i
\(560\) −5.60482 0.973257i −0.236847 0.0411276i
\(561\) −7.83484 23.2760i −0.330787 0.982715i
\(562\) 9.63230i 0.406314i
\(563\) −21.2655 + 29.2694i −0.896232 + 1.23356i 0.0754225 + 0.997152i \(0.475969\pi\)
−0.971654 + 0.236406i \(0.924031\pi\)
\(564\) 0.540125 + 0.284415i 0.0227434 + 0.0119760i
\(565\) −2.43706 17.0192i −0.102528 0.716005i
\(566\) −12.3393 16.9836i −0.518659 0.713873i
\(567\) 17.8965 + 0.963033i 0.751581 + 0.0404436i
\(568\) 0.400645 + 1.23306i 0.0168107 + 0.0517379i
\(569\) 0.102235 0.314646i 0.00428590 0.0131907i −0.948891 0.315605i \(-0.897793\pi\)
0.953177 + 0.302414i \(0.0977926\pi\)
\(570\) −0.608553 + 0.416357i −0.0254895 + 0.0174393i
\(571\) 23.8700i 0.998927i 0.866335 + 0.499463i \(0.166469\pi\)
−0.866335 + 0.499463i \(0.833531\pi\)
\(572\) 2.81281 21.0071i 0.117610 0.878351i
\(573\) −6.80172 1.17120i −0.284146 0.0489275i
\(574\) 7.86052 10.8191i 0.328092 0.451580i
\(575\) 13.1746 17.0447i 0.549418 0.710814i
\(576\) −0.124458 + 4.62908i −0.00518577 + 0.192878i
\(577\) −10.2076 14.0496i −0.424950 0.584893i 0.541835 0.840485i \(-0.317730\pi\)
−0.966785 + 0.255592i \(0.917730\pi\)
\(578\) 0.528040 + 0.726785i 0.0219636 + 0.0302303i
\(579\) 27.7633 4.01557i 1.15380 0.166881i
\(580\) −11.5257 + 21.8135i −0.478580 + 0.905754i
\(581\) −2.35378 + 3.23970i −0.0976511 + 0.134405i
\(582\) 0.682464 3.96339i 0.0282890 0.164288i
\(583\) 20.7398 + 9.94862i 0.858955 + 0.412030i
\(584\) 25.3967i 1.05092i
\(585\) 11.8573 + 25.8880i 0.490241 + 1.07034i
\(586\) 5.30201 16.3179i 0.219024 0.674086i
\(587\) −4.29831 13.2288i −0.177410 0.546012i 0.822325 0.569018i \(-0.192676\pi\)
−0.999735 + 0.0230056i \(0.992676\pi\)
\(588\) 3.49717 + 7.09782i 0.144221 + 0.292709i
\(589\) −1.03166 1.41996i −0.0425088 0.0585084i
\(590\) −2.35201 16.4253i −0.0968305 0.676219i
\(591\) −4.59647 + 8.72904i −0.189073 + 0.359065i
\(592\) 4.47575 6.16034i 0.183952 0.253188i
\(593\) 21.9317i 0.900628i −0.892870 0.450314i \(-0.851312\pi\)
0.892870 0.450314i \(-0.148688\pi\)
\(594\) 11.4629 + 3.93282i 0.470330 + 0.161365i
\(595\) 3.25695 18.7562i 0.133522 0.768930i
\(596\) −10.6327 7.72513i −0.435534 0.316434i
\(597\) 18.7527 + 9.87463i 0.767495 + 0.404142i
\(598\) −12.2312 + 3.97414i −0.500169 + 0.162515i
\(599\) −9.26009 12.7454i −0.378357 0.520764i 0.576791 0.816892i \(-0.304305\pi\)
−0.955148 + 0.296128i \(0.904305\pi\)
\(600\) 21.2099 2.42706i 0.865889 0.0990843i
\(601\) −32.7170 + 10.6304i −1.33455 + 0.433623i −0.887469 0.460868i \(-0.847538\pi\)
−0.447086 + 0.894491i \(0.647538\pi\)
\(602\) −2.25007 0.731093i −0.0917061 0.0297971i
\(603\) −2.23042 + 1.53062i −0.0908295 + 0.0623319i
\(604\) 28.4828i 1.15895i
\(605\) −16.8075 + 17.9585i −0.683323 + 0.730116i
\(606\) 2.05179 + 0.353301i 0.0833482 + 0.0143519i
\(607\) −10.7163 7.78585i −0.434962 0.316018i 0.348668 0.937246i \(-0.386634\pi\)
−0.783630 + 0.621228i \(0.786634\pi\)
\(608\) −0.487630 + 1.50077i −0.0197760 + 0.0608643i
\(609\) −25.0174 + 3.61841i −1.01376 + 0.146625i
\(610\) −13.6404 + 6.69684i −0.552284 + 0.271147i
\(611\) −0.803895 + 0.584064i −0.0325221 + 0.0236287i
\(612\) 19.3021 + 0.518960i 0.780241 + 0.0209777i
\(613\) 1.14046 3.50996i 0.0460626 0.141766i −0.925380 0.379041i \(-0.876254\pi\)
0.971443 + 0.237275i \(0.0762541\pi\)
\(614\) −3.01007 + 4.14301i −0.121477 + 0.167198i
\(615\) 12.4200 34.8389i 0.500822 1.40484i
\(616\) −2.93165 16.0149i −0.118119 0.645258i
\(617\) 4.13390 0.166425 0.0832123 0.996532i \(-0.473482\pi\)
0.0832123 + 0.996532i \(0.473482\pi\)
\(618\) 5.17485 5.03759i 0.208163 0.202642i
\(619\) −9.56349 + 29.4334i −0.384389 + 1.18303i 0.552533 + 0.833491i \(0.313661\pi\)
−0.936922 + 0.349537i \(0.886339\pi\)
\(620\) 3.09353 + 21.6038i 0.124239 + 0.867628i
\(621\) 2.60808 + 22.2355i 0.104659 + 0.892280i
\(622\) 1.34820 0.979527i 0.0540580 0.0392755i
\(623\) −30.0304 + 9.75746i −1.20314 + 0.390924i
\(624\) 8.31074 + 4.37621i 0.332696 + 0.175188i
\(625\) −6.30009 24.1932i −0.252003 0.967726i
\(626\) −10.2751 −0.410677
\(627\) 1.26780 + 0.900858i 0.0506309 + 0.0359768i
\(628\) 21.5174i 0.858639i
\(629\) 20.6152 + 14.9778i 0.821983 + 0.597205i
\(630\) 6.35951 + 6.91375i 0.253369 + 0.275451i
\(631\) −6.88264 21.1826i −0.273993 0.843265i −0.989484 0.144643i \(-0.953797\pi\)
0.715491 0.698622i \(-0.246203\pi\)
\(632\) 0.449812 0.326808i 0.0178926 0.0129997i
\(633\) −5.70924 + 2.81300i −0.226922 + 0.111807i
\(634\) −16.5776 + 5.38640i −0.658382 + 0.213921i
\(635\) 10.5102 19.8915i 0.417086 0.789370i
\(636\) −12.9588 + 12.6151i −0.513850 + 0.500220i
\(637\) −12.8803 −0.510334
\(638\) −16.9412 2.26839i −0.670708 0.0898066i
\(639\) −0.527738 + 1.48698i −0.0208770 + 0.0588240i
\(640\) 16.9616 16.4651i 0.670468 0.650842i
\(641\) −24.8632 8.07855i −0.982038 0.319083i −0.226372 0.974041i \(-0.572687\pi\)
−0.755666 + 0.654957i \(0.772687\pi\)
\(642\) −3.81449 + 0.551712i −0.150546 + 0.0217743i
\(643\) −12.0799 16.6265i −0.476385 0.655687i 0.501421 0.865204i \(-0.332811\pi\)
−0.977805 + 0.209517i \(0.932811\pi\)
\(644\) 10.4502 7.59250i 0.411795 0.299187i
\(645\) −6.54074 0.185102i −0.257542 0.00728836i
\(646\) −0.774096 0.251519i −0.0304564 0.00989588i
\(647\) 17.6799 + 12.8452i 0.695070 + 0.504998i 0.878323 0.478068i \(-0.158663\pi\)
−0.183253 + 0.983066i \(0.558663\pi\)
\(648\) −13.9861 + 17.2220i −0.549425 + 0.676546i
\(649\) −30.7941 + 16.6319i −1.20877 + 0.652861i
\(650\) −5.03145 + 14.0508i −0.197350 + 0.551117i
\(651\) −16.0224 + 15.5974i −0.627968 + 0.611311i
\(652\) −32.2915 10.4921i −1.26463 0.410904i
\(653\) −0.796398 2.45106i −0.0311654 0.0959174i 0.934264 0.356583i \(-0.116058\pi\)
−0.965429 + 0.260665i \(0.916058\pi\)
\(654\) −1.93988 3.93715i −0.0758552 0.153955i
\(655\) −31.8112 + 15.6179i −1.24297 + 0.610243i
\(656\) −3.77012 11.6032i −0.147199 0.453031i
\(657\) −18.8325 + 24.5075i −0.734727 + 0.956129i
\(658\) −0.192685 + 0.265209i −0.00751166 + 0.0103389i
\(659\) 35.4001 1.37899 0.689496 0.724290i \(-0.257832\pi\)
0.689496 + 0.724290i \(0.257832\pi\)
\(660\) −8.70501 17.2685i −0.338842 0.672176i
\(661\) −15.6254 −0.607759 −0.303879 0.952710i \(-0.598282\pi\)
−0.303879 + 0.952710i \(0.598282\pi\)
\(662\) 4.24489 5.84258i 0.164982 0.227078i
\(663\) −14.6447 + 27.8114i −0.568754 + 1.08011i
\(664\) −1.53182 4.71447i −0.0594463 0.182957i
\(665\) 0.531295 + 1.08216i 0.0206027 + 0.0419645i
\(666\) −12.0587 + 3.56278i −0.467267 + 0.138055i
\(667\) −9.75751 30.0305i −0.377812 1.16279i
\(668\) 7.67938 + 2.49518i 0.297124 + 0.0965415i
\(669\) −19.0871 19.6072i −0.737952 0.758059i
\(670\) −1.39694 0.242574i −0.0539686 0.00937145i
\(671\) 23.2006 + 22.1141i 0.895650 + 0.853704i
\(672\) 19.8120 + 3.41147i 0.764266 + 0.131600i
\(673\) −10.9648 7.96638i −0.422661 0.307081i 0.356047 0.934468i \(-0.384124\pi\)
−0.778708 + 0.627387i \(0.784124\pi\)
\(674\) −5.86425 1.90541i −0.225883 0.0733937i
\(675\) 22.2670 + 13.3858i 0.857059 + 0.515219i
\(676\) −6.11116 + 4.44001i −0.235044 + 0.170770i
\(677\) 24.4276 + 33.6218i 0.938830 + 1.29219i 0.956314 + 0.292342i \(0.0944346\pi\)
−0.0174834 + 0.999847i \(0.505565\pi\)
\(678\) 1.34056 + 9.26851i 0.0514838 + 0.355955i
\(679\) −6.25358 2.03191i −0.239990 0.0779775i
\(680\) 16.4140 + 16.9089i 0.629447 + 0.648428i
\(681\) −2.38341 0.410403i −0.0913323 0.0157267i
\(682\) −13.3035 + 7.18525i −0.509418 + 0.275138i
\(683\) −9.96643 −0.381355 −0.190677 0.981653i \(-0.561068\pi\)
−0.190677 + 0.981653i \(0.561068\pi\)
\(684\) −1.00821 + 0.691888i −0.0385500 + 0.0264550i
\(685\) −13.2439 + 25.0653i −0.506024 + 0.957695i
\(686\) −13.3639 + 4.34220i −0.510237 + 0.165786i
\(687\) 8.06315 + 16.3649i 0.307628 + 0.624359i
\(688\) −1.74618 + 1.26867i −0.0665724 + 0.0483676i
\(689\) −9.09720 27.9983i −0.346576 1.06665i
\(690\) −7.16308 + 9.29439i −0.272694 + 0.353832i
\(691\) 17.8614 + 12.9771i 0.679480 + 0.493671i 0.873185 0.487389i \(-0.162051\pi\)
−0.193705 + 0.981060i \(0.562051\pi\)
\(692\) 24.5461i 0.933102i
\(693\) 9.04660 17.6281i 0.343652 0.669636i
\(694\) −11.0002 −0.417561
\(695\) 24.4613 23.7453i 0.927870 0.900709i
\(696\) 14.5792 27.6869i 0.552622 1.04947i
\(697\) 38.8296 12.6165i 1.47078 0.477884i
\(698\) −17.3316 + 12.5922i −0.656013 + 0.476621i
\(699\) 24.3199 11.9827i 0.919862 0.453226i
\(700\) 0.445210 14.9835i 0.0168274 0.566322i
\(701\) 0.379885 1.16917i 0.0143481 0.0441588i −0.943626 0.331013i \(-0.892610\pi\)
0.957974 + 0.286854i \(0.0926096\pi\)
\(702\) −6.47861 14.0921i −0.244519 0.531871i
\(703\) −1.61369 −0.0608614
\(704\) 4.61590 + 2.21419i 0.173968 + 0.0834503i
\(705\) −0.304451 + 0.854007i −0.0114663 + 0.0321638i
\(706\) 7.62366 10.4931i 0.286920 0.394912i
\(707\) 1.05189 3.23738i 0.0395603 0.121754i
\(708\) −3.93891 27.2333i −0.148033 1.02349i
\(709\) 35.8795 26.0680i 1.34748 0.979003i 0.348349 0.937365i \(-0.386742\pi\)
0.999133 0.0416377i \(-0.0132575\pi\)
\(710\) −0.742368 + 0.364470i −0.0278606 + 0.0136783i
\(711\) 0.676403 + 0.0181859i 0.0253671 + 0.000682025i
\(712\) 12.0786 37.1741i 0.452664 1.39316i
\(713\) −22.5975 16.4180i −0.846283 0.614860i
\(714\) −1.75963 + 10.2190i −0.0658525 + 0.382437i
\(715\) 31.4782 0.287117i 1.17722 0.0107376i
\(716\) 0.403786i 0.0150902i
\(717\) 22.7989 22.1942i 0.851442 0.828858i
\(718\) 11.5667 + 3.75825i 0.431665 + 0.140257i
\(719\) −21.3753 + 6.94525i −0.797164 + 0.259014i −0.679152 0.733998i \(-0.737652\pi\)
−0.118012 + 0.993012i \(0.537652\pi\)
\(720\) 8.51306 0.986339i 0.317263 0.0367587i
\(721\) −6.94037 9.55259i −0.258473 0.355757i
\(722\) −12.6580 + 4.11282i −0.471080 + 0.153063i
\(723\) −1.41551 + 2.68816i −0.0526434 + 0.0999736i
\(724\) −0.260428 0.189212i −0.00967872 0.00703200i
\(725\) −34.4981 12.3535i −1.28123 0.458796i
\(726\) 9.14124 9.79492i 0.339263 0.363524i
\(727\) 11.9207i 0.442113i −0.975261 0.221057i \(-0.929049\pi\)
0.975261 0.221057i \(-0.0709506\pi\)
\(728\) −12.2476 + 16.8574i −0.453926 + 0.624775i
\(729\) −26.2672 + 6.24789i −0.972858 + 0.231403i
\(730\) −16.0363 + 2.29630i −0.593530 + 0.0849900i
\(731\) −4.24554 5.84348i −0.157027 0.216129i
\(732\) −22.6048 + 11.1376i −0.835497 + 0.411658i
\(733\) 10.7613 + 33.1199i 0.397478 + 1.22331i 0.927015 + 0.375025i \(0.122366\pi\)
−0.529537 + 0.848287i \(0.677634\pi\)
\(734\) −0.495018 + 1.52351i −0.0182714 + 0.0562337i
\(735\) −9.69942 + 6.63611i −0.357769 + 0.244776i
\(736\) 25.1127i 0.925665i
\(737\) 0.538503 + 2.94172i 0.0198360 + 0.108360i
\(738\) −6.73836 + 18.9863i −0.248042 + 0.698895i
\(739\) 2.07357 2.85403i 0.0762775 0.104987i −0.769173 0.639040i \(-0.779332\pi\)
0.845451 + 0.534053i \(0.179332\pi\)
\(740\) 17.7407 + 9.37381i 0.652163 + 0.344588i
\(741\) −0.284928 1.96997i −0.0104671 0.0723686i
\(742\) −5.70863 7.85726i −0.209570 0.288449i
\(743\) −29.3251 40.3625i −1.07583 1.48076i −0.864026 0.503447i \(-0.832065\pi\)
−0.211807 0.977311i \(-0.567935\pi\)
\(744\) −3.96227 27.3948i −0.145264 1.00434i
\(745\) 9.11945 17.2593i 0.334111 0.632334i
\(746\) 12.2869 16.9115i 0.449856 0.619174i
\(747\) 2.01775 5.68531i 0.0738257 0.208015i
\(748\) 9.23261 19.2471i 0.337577 0.703745i
\(749\) 6.30147i 0.230251i
\(750\) 3.45027 + 13.1732i 0.125986 + 0.481016i
\(751\) 5.26337 16.1990i 0.192063 0.591109i −0.807935 0.589271i \(-0.799415\pi\)
0.999998 0.00183792i \(-0.000585028\pi\)
\(752\) 0.0924172 + 0.284431i 0.00337011 + 0.0103721i
\(753\) −17.4064 + 8.57632i −0.634325 + 0.312538i
\(754\) 12.8580 + 17.6975i 0.468259 + 0.644503i
\(755\) 41.8773 5.99659i 1.52407 0.218238i
\(756\) 10.5624 + 11.4505i 0.384153 + 0.416450i
\(757\) −5.56375 + 7.65784i −0.202218 + 0.278329i −0.898067 0.439859i \(-0.855028\pi\)
0.695849 + 0.718188i \(0.255028\pi\)
\(758\) 14.6767i 0.533081i
\(759\) 23.6187 + 7.40005i 0.857303 + 0.268605i
\(760\) −1.47033 0.255317i −0.0533344 0.00926132i
\(761\) 39.8694 + 28.9668i 1.44526 + 1.05005i 0.986909 + 0.161276i \(0.0515608\pi\)
0.458354 + 0.888770i \(0.348439\pi\)
\(762\) −5.70962 + 10.8430i −0.206838 + 0.392800i
\(763\) −6.82484 + 2.21753i −0.247076 + 0.0802798i
\(764\) −3.52617 4.85335i −0.127572 0.175588i
\(765\) 3.30073 + 28.4885i 0.119338 + 1.03000i
\(766\) 5.66085 1.83932i 0.204535 0.0664574i
\(767\) 42.5997 + 13.8415i 1.53819 + 0.499787i
\(768\) −13.0578 + 12.7114i −0.471183 + 0.458685i
\(769\) 14.5213i 0.523650i −0.965115 0.261825i \(-0.915676\pi\)
0.965115 0.261825i \(-0.0843244\pi\)
\(770\) 9.84726 3.29916i 0.354871 0.118894i
\(771\) 1.82718 10.6113i 0.0658043 0.382158i
\(772\) 19.7263 + 14.3320i 0.709965 + 0.515820i
\(773\) 4.77507 14.6962i 0.171747 0.528584i −0.827723 0.561138i \(-0.810364\pi\)
0.999470 + 0.0325533i \(0.0103639\pi\)
\(774\) 3.56289