Properties

Label 165.2.r.a.29.8
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 29.8
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.413334 + 0.568905i) q^{2} +(1.71421 + 0.247937i) q^{3} +(0.465226 + 1.43182i) q^{4} +(2.00721 - 0.985452i) q^{5} +(-0.849595 + 0.872744i) q^{6} +(-0.615368 - 1.89391i) q^{7} +(-2.34444 - 0.761754i) q^{8} +(2.87705 + 0.850033i) q^{9} +O(q^{10})\) \(q+(-0.413334 + 0.568905i) q^{2} +(1.71421 + 0.247937i) q^{3} +(0.465226 + 1.43182i) q^{4} +(2.00721 - 0.985452i) q^{5} +(-0.849595 + 0.872744i) q^{6} +(-0.615368 - 1.89391i) q^{7} +(-2.34444 - 0.761754i) q^{8} +(2.87705 + 0.850033i) 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} +(3.68511 - 1.19161i) q^{15} +(-1.03355 + 0.750920i) q^{16} +(2.51291 + 3.45873i) q^{17} +(-1.67277 + 1.28542i) 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} +(-3.83000 - 1.88708i) q^{24} +(3.05777 - 3.95601i) q^{25} +(2.83880 - 0.922383i) q^{26} +(4.72113 + 2.17047i) q^{27} +(2.42545 - 1.76219i) q^{28} +(2.26468 + 6.96997i) q^{29} +(-0.845266 + 2.58901i) q^{30} +(-5.24479 - 3.81056i) q^{31} -5.82855i q^{32} +(-5.74054 + 0.214872i) q^{33} -3.00636 q^{34} +(-3.10153 - 3.19505i) q^{35} +(0.121388 + 4.51488i) q^{36} +(-5.66863 + 1.84185i) q^{37} +(-0.154024 + 0.111905i) q^{38} +(-5.26807 - 5.12834i) q^{39} +(-5.45645 + 0.781331i) q^{40} +(2.95108 - 9.08248i) q^{41} +(2.17571 + 1.07200i) q^{42} +1.68949 q^{43} +(-2.37285 - 4.39334i) q^{44} +(6.61251 - 1.12901i) q^{45} +(1.78087 - 2.45116i) q^{46} +(-0.0723398 + 0.222639i) q^{47} +(-1.95791 + 1.03098i) q^{48} +(2.45491 - 1.78359i) q^{49} +(0.986717 + 3.37473i) q^{50} +(3.45012 + 6.55204i) 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} +(0.420643 + 0.207255i) q^{57} +(-4.90132 - 1.59253i) q^{58} +(10.0360 - 3.26089i) q^{59} +(3.42058 + 4.72204i) q^{60} +(5.68030 + 7.81826i) q^{61} +(4.33570 - 1.40875i) q^{62} +(-0.160564 - 5.97196i) q^{63} +(1.24878 + 0.907295i) q^{64} +(-9.35149 - 1.62385i) q^{65} +(2.25052 - 3.35464i) q^{66} +0.901700i q^{67} +(-3.78319 + 5.20712i) q^{68} +(-7.38579 - 1.06825i) q^{69} +(3.09965 - 0.443851i) q^{70} +(-0.309146 - 0.425503i) q^{71} +(-6.09756 - 4.18446i) q^{72} +(3.18366 + 9.79830i) q^{73} +(1.29520 - 3.98621i) q^{74} +(6.22251 - 6.02332i) 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} +(7.55489 + 4.89118i) q^{81} +(3.94729 + 5.43298i) q^{82} +(1.18199 + 1.62687i) q^{83} +(4.59464 - 2.41941i) 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} +(-2.09088 + 4.22855i) q^{90} +(-2.61205 + 8.03907i) q^{91} +(-2.00445 - 6.16907i) q^{92} +(-8.04591 - 7.83249i) q^{93} +(-0.0967600 - 0.133179i) q^{94} +(0.599274 - 0.0858125i) q^{95} +(1.44511 - 9.99138i) q^{96} +(1.94083 - 2.67133i) q^{97} +2.13383i q^{98} +(-9.89379 - 1.05496i) 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 −0.929750 0.368191i \(-0.879977\pi\)
0.637479 + 0.770468i \(0.279977\pi\)
\(3\) 1.71421 + 0.247937i 0.989702 + 0.143146i
\(4\) 0.465226 + 1.43182i 0.232613 + 0.715909i
\(5\) 2.00721 0.985452i 0.897651 0.440707i
\(6\) −0.849595 + 0.872744i −0.346846 + 0.356296i
\(7\) −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
\(9\) 2.87705 + 0.850033i 0.959018 + 0.283344i
\(10\) −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
\(15\) 3.68511 1.19161i 0.951492 0.307673i
\(16\) −1.03355 + 0.750920i −0.258388 + 0.187730i
\(17\) 2.51291 + 3.45873i 0.609471 + 0.838864i 0.996534 0.0831888i \(-0.0265105\pi\)
−0.387063 + 0.922053i \(0.626510\pi\)
\(18\) −1.67277 + 1.28542i −0.394276 + 0.302977i
\(19\) 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 \(-0.648290\pi\)
−0.449198 + 0.893432i \(0.648290\pi\)
\(24\) −3.83000 1.88708i −0.781795 0.385199i
\(25\) 3.05777 3.95601i 0.611554 0.791203i
\(26\) 2.83880 0.922383i 0.556735 0.180894i
\(27\) 4.72113 + 2.17047i 0.908582 + 0.417706i
\(28\) 2.42545 1.76219i 0.458366 0.333023i
\(29\) 2.26468 + 6.96997i 0.420540 + 1.29429i 0.907200 + 0.420699i \(0.138215\pi\)
−0.486660 + 0.873591i \(0.661785\pi\)
\(30\) −0.845266 + 2.58901i −0.154324 + 0.472687i
\(31\) −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
\(33\) −5.74054 + 0.214872i −0.999300 + 0.0374044i
\(34\) −3.00636 −0.515586
\(35\) −3.10153 3.19505i −0.524254 0.540063i
\(36\) 0.121388 + 4.51488i 0.0202313 + 0.752479i
\(37\) −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
\(39\) −5.26807 5.12834i −0.843566 0.821191i
\(40\) −5.45645 + 0.781331i −0.862740 + 0.123539i
\(41\) 2.95108 9.08248i 0.460881 1.41844i −0.403210 0.915108i \(-0.632105\pi\)
0.864090 0.503337i \(-0.167895\pi\)
\(42\) 2.17571 + 1.07200i 0.335719 + 0.165413i
\(43\) 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
\(45\) 6.61251 1.12901i 0.985735 0.168302i
\(46\) 1.78087 2.45116i 0.262575 0.361404i
\(47\) −0.0723398 + 0.222639i −0.0105518 + 0.0324752i −0.956194 0.292734i \(-0.905435\pi\)
0.945642 + 0.325210i \(0.105435\pi\)
\(48\) −1.95791 + 1.03098i −0.282600 + 0.148809i
\(49\) 2.45491 1.78359i 0.350701 0.254799i
\(50\) 0.986717 + 3.37473i 0.139543 + 0.477260i
\(51\) 3.45012 + 6.55204i 0.483114 + 0.917469i
\(52\) 1.97474 6.07763i 0.273848 0.842816i
\(53\) −5.61095 4.07659i −0.770723 0.559963i 0.131458 0.991322i \(-0.458034\pi\)
−0.902180 + 0.431359i \(0.858034\pi\)
\(54\) −3.18619 + 1.78875i −0.433586 + 0.243418i
\(55\) −5.95982 + 4.41367i −0.803622 + 0.595140i
\(56\) 4.90891i 0.655981i
\(57\) 0.420643 + 0.207255i 0.0557156 + 0.0274516i
\(58\) −4.90132 1.59253i −0.643574 0.209110i
\(59\) 10.0360 3.26089i 1.30657 0.424531i 0.428710 0.903442i \(-0.358968\pi\)
0.877864 + 0.478911i \(0.158968\pi\)
\(60\) 3.42058 + 4.72204i 0.441595 + 0.609613i
\(61\) 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
\(63\) −0.160564 5.97196i −0.0202291 0.752396i
\(64\) 1.24878 + 0.907295i 0.156098 + 0.113412i
\(65\) −9.35149 1.62385i −1.15991 0.201414i
\(66\) 2.25052 3.35464i 0.277020 0.412927i
\(67\) 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
\(69\) −7.38579 1.06825i −0.889145 0.128602i
\(70\) 3.09965 0.443851i 0.370479 0.0530504i
\(71\) −0.309146 0.425503i −0.0366889 0.0504979i 0.790278 0.612748i \(-0.209936\pi\)
−0.826967 + 0.562250i \(0.809936\pi\)
\(72\) −6.09756 4.18446i −0.718604 0.493143i
\(73\) 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
\(75\) 6.22251 6.02332i 0.718514 0.695513i
\(76\) 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
\(81\) 7.55489 + 4.89118i 0.839432 + 0.543465i
\(82\) 3.94729 + 5.43298i 0.435905 + 0.599972i
\(83\) 1.18199 + 1.62687i 0.129740 + 0.178572i 0.868945 0.494909i \(-0.164799\pi\)
−0.739205 + 0.673480i \(0.764799\pi\)
\(84\) 4.59464 2.41941i 0.501317 0.263980i
\(85\) 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 \(0.317669\pi\)
−0.541995 + 0.840382i \(0.682331\pi\)
\(90\) −2.09088 + 4.22855i −0.220398 + 0.445728i
\(91\) −2.61205 + 8.03907i −0.273817 + 0.842724i
\(92\) −2.00445 6.16907i −0.208979 0.643170i
\(93\) −8.04591 7.83249i −0.834322 0.812192i
\(94\) −0.0967600 0.133179i −0.00998003 0.0137363i
\(95\) 0.599274 0.0858125i 0.0614842 0.00880417i
\(96\) 1.44511 9.99138i 0.147491 1.01974i
\(97\) 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
\(99\) −9.89379 1.05496i −0.994363 0.106027i
\(100\) 7.08684 + 2.53773i 0.708684 + 0.253773i
\(101\) −1.38290 1.00474i −0.137604 0.0999752i 0.516854 0.856074i \(-0.327103\pi\)
−0.654458 + 0.756098i \(0.727103\pi\)
\(102\) −5.15354 0.745387i −0.510276 0.0738043i
\(103\) 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
\(105\) −4.52451 6.24599i −0.441547 0.609546i
\(106\) 4.63839 1.50710i 0.450520 0.146383i
\(107\) 3.00951 + 0.977849i 0.290940 + 0.0945322i 0.450851 0.892599i \(-0.351121\pi\)
−0.159911 + 0.987131i \(0.551121\pi\)
\(108\) −0.911318 + 7.76956i −0.0876917 + 0.747626i
\(109\) 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 \(-0.782212\pi\)
0.998439 0.0558532i \(-0.0177879\pi\)
\(114\) −0.291775 + 0.153640i −0.0273272 + 0.0143897i
\(115\) −8.64818 + 4.24588i −0.806447 + 0.395930i
\(116\) −8.92613 + 6.48522i −0.828771 + 0.602137i
\(117\) −7.75909 10.0972i −0.717328 0.933487i
\(118\) −2.29307 + 7.05735i −0.211095 + 0.649682i
\(119\) 5.00415 6.88762i 0.458729 0.631387i
\(120\) −9.54723 0.0134851i −0.871539 0.00123101i
\(121\) 10.2867 3.89669i 0.935153 0.354244i
\(122\) −6.79571 −0.615254
\(123\) 7.31065 14.8376i 0.659179 1.33786i
\(124\) 3.01602 9.28235i 0.270847 0.833580i
\(125\) 2.23912 10.9538i 0.200273 0.979740i
\(126\) 3.46385 + 2.37707i 0.308584 + 0.211766i
\(127\) −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
\(129\) 2.89614 + 0.418886i 0.254991 + 0.0368809i
\(130\) 4.78911 4.64892i 0.420032 0.407737i
\(131\) −15.8485 −1.38469 −0.692345 0.721567i \(-0.743422\pi\)
−0.692345 + 0.721567i \(0.743422\pi\)
\(132\) −2.97831 8.11945i −0.259228 0.706707i
\(133\) 0.539138i 0.0467492i
\(134\) −0.512982 0.372703i −0.0443149 0.0321966i
\(135\) 11.6152 0.295871i 0.999676 0.0254645i
\(136\) −3.25667 10.0230i −0.279257 0.859464i
\(137\) −10.2568 + 7.45199i −0.876296 + 0.636667i −0.932269 0.361766i \(-0.882174\pi\)
0.0559727 + 0.998432i \(0.482174\pi\)
\(138\) 3.66053 3.76027i 0.311605 0.320095i
\(139\) −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
\(141\) −0.179206 + 0.363715i −0.0150919 + 0.0306303i
\(142\) 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
\(147\) 4.65045 2.44880i 0.383563 0.201974i
\(148\) −5.27438 7.25957i −0.433552 0.596733i
\(149\) 7.06258 5.13126i 0.578589 0.420370i −0.259626 0.965709i \(-0.583599\pi\)
0.838215 + 0.545340i \(0.183599\pi\)
\(150\) 0.854722 + 6.02966i 0.0697878 + 0.492320i
\(151\) −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
\(156\) 4.89200 9.92875i 0.391673 0.794936i
\(157\) 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
\(159\) −8.60762 8.37931i −0.682629 0.664522i
\(160\) −5.74375 11.6991i −0.454084 0.924896i
\(161\) 2.65135 + 8.16002i 0.208956 + 0.643100i
\(162\) −5.90531 + 2.27632i −0.463965 + 0.178845i
\(163\) −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
\(165\) −11.3107 + 6.08832i −0.880538 + 0.473975i
\(166\) −1.41409 −0.109754
\(167\) −3.15252 + 4.33906i −0.243949 + 0.335767i −0.913381 0.407107i \(-0.866538\pi\)
0.669432 + 0.742874i \(0.266538\pi\)
\(168\) −1.21710 + 8.41492i −0.0939012 + 0.649225i
\(169\) 1.55048 + 4.77189i 0.119268 + 0.367069i
\(170\) −6.03439 + 2.96262i −0.462816 + 0.227223i
\(171\) 0.669686 + 0.459573i 0.0512122 + 0.0351444i
\(172\) 0.785994 + 2.41904i 0.0599315 + 0.184450i
\(173\) 15.5063 + 5.03829i 1.17892 + 0.383054i 0.831965 0.554828i \(-0.187216\pi\)
0.346954 + 0.937882i \(0.387216\pi\)
\(174\) −8.00706 3.94516i −0.607013 0.299082i
\(175\) −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 0.318534 0.947911i \(-0.396809\pi\)
−0.299469 + 0.954106i \(0.596809\pi\)
\(180\) 4.69284 + 8.94267i 0.349784 + 0.666548i
\(181\) −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
\(183\) 7.79881 + 14.8105i 0.576505 + 1.09483i
\(184\) 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
\(189\) 1.20543 10.2770i 0.0876820 0.747544i
\(190\) −0.198881 + 0.376399i −0.0144283 + 0.0273068i
\(191\) 3.78974 1.23136i 0.274216 0.0890981i −0.168681 0.985671i \(-0.553951\pi\)
0.442897 + 0.896573i \(0.353951\pi\)
\(192\) 1.91573 + 1.86492i 0.138256 + 0.134589i
\(193\) 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
\(195\) −15.6278 5.10221i −1.11913 0.365377i
\(196\) 3.69587 + 2.68521i 0.263991 + 0.191800i
\(197\) 5.69572i 0.405803i −0.979199 0.202902i \(-0.934963\pi\)
0.979199 0.202902i \(-0.0650371\pi\)
\(198\) 4.68961 5.19258i 0.333276 0.369020i
\(199\) 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
\(201\) −0.223565 + 1.54571i −0.0157690 + 0.109026i
\(202\) 1.14320 0.371449i 0.0804354 0.0261350i
\(203\) 11.8069 8.57819i 0.828680 0.602071i
\(204\) −7.77624 + 7.98812i −0.544446 + 0.559280i
\(205\) −3.02692 21.1386i −0.211409 1.47638i
\(206\) −1.28847 + 3.96551i −0.0897722 + 0.276290i
\(207\) −12.3960 3.66242i −0.861579 0.254556i
\(208\) 5.42278 0.376002
\(209\) −0.889990 0.119168i −0.0615619 0.00824303i
\(210\) 5.42350 + 0.00766047i 0.374257 + 0.000528623i
\(211\) −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
\(213\) −0.424444 0.806051i −0.0290824 0.0552297i
\(214\) −1.80023 + 1.30795i −0.123061 + 0.0894094i
\(215\) 3.39116 1.66491i 0.231275 0.113546i
\(216\) −9.41504 8.68486i −0.640612 0.590930i
\(217\) −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
\(222\) 3.20857 6.51209i 0.215345 0.437063i
\(223\) −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
\(225\) 12.1601 8.78246i 0.810674 0.585498i
\(226\) 3.17807 + 4.37424i 0.211402 + 0.290970i
\(227\) 1.32797 0.431484i 0.0881405 0.0286386i −0.264615 0.964354i \(-0.585245\pi\)
0.352755 + 0.935716i \(0.385245\pi\)
\(228\) −0.101058 + 0.698705i −0.00669272 + 0.0462729i
\(229\) 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
\(231\) 3.93949 + 10.7398i 0.259200 + 0.706629i
\(232\) 18.0658i 1.18608i
\(233\) −9.20055 + 12.6635i −0.602748 + 0.829611i −0.995956 0.0898380i \(-0.971365\pi\)
0.393208 + 0.919449i \(0.371365\pi\)
\(234\) 8.95145 0.240671i 0.585174 0.0157331i
\(235\) 0.0741990 + 0.518170i 0.00484021 + 0.0338017i
\(236\) 9.33799 + 12.8526i 0.607852 + 0.836636i
\(237\) 0.272503 0.279928i 0.0177009 0.0181833i
\(238\) 1.85002 + 5.69377i 0.119919 + 0.369072i
\(239\) −5.67665 + 17.4709i −0.367192 + 1.13010i 0.581405 + 0.813614i \(0.302503\pi\)
−0.948597 + 0.316487i \(0.897497\pi\)
\(240\) −2.91395 + 3.99882i −0.188095 + 0.258123i
\(241\) 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
\(246\) 5.41946 + 10.2920i 0.345532 + 0.656191i
\(247\) −0.675481 0.929720i −0.0429798 0.0591567i
\(248\) 9.39337 + 12.9289i 0.596480 + 0.820984i
\(249\) 1.62282 + 3.08185i 0.102842 + 0.195304i
\(250\) 5.30618 + 5.80143i 0.335592 + 0.366915i
\(251\) 6.58509 9.06359i 0.415647 0.572089i −0.548937 0.835863i \(-0.684967\pi\)
0.964584 + 0.263775i \(0.0849675\pi\)
\(252\) 8.47606 3.00821i 0.533942 0.189499i
\(253\) 14.0563 2.57311i 0.883712 0.161770i
\(254\) 7.07508i 0.443930i
\(255\) 13.3818 + 9.75138i 0.838003 + 0.610655i
\(256\) −3.25123 + 10.0063i −0.203202 + 0.625391i
\(257\) 1.92104 + 5.91235i 0.119831 + 0.368802i 0.992924 0.118752i \(-0.0378893\pi\)
−0.873093 + 0.487554i \(0.837889\pi\)
\(258\) −1.43538 + 1.47449i −0.0893629 + 0.0917978i
\(259\) 6.97659 + 9.60245i 0.433504 + 0.596667i
\(260\) −2.02549 14.1451i −0.125616 0.877241i
\(261\) 0.590906 + 21.9780i 0.0365762 + 1.36041i
\(262\) 6.55072 9.01629i 0.404705 0.557028i
\(263\) 24.0702i 1.48423i −0.670272 0.742116i \(-0.733822\pi\)
0.670272 0.742116i \(-0.266178\pi\)
\(264\) 13.6220 + 3.86913i 0.838378 + 0.238128i
\(265\) −15.2796 2.65325i −0.938620 0.162988i
\(266\) 0.306719 + 0.222844i 0.0188061 + 0.0136634i
\(267\) −3.93136 + 27.1811i −0.240595 + 1.66345i
\(268\) −1.29107 + 0.419494i −0.0788647 + 0.0256247i
\(269\) −14.8417 20.4278i −0.904912 1.24550i −0.968875 0.247552i \(-0.920374\pi\)
0.0639625 0.997952i \(-0.479626\pi\)
\(270\) −4.63262 + 6.73023i −0.281932 + 0.409589i
\(271\) 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
\(273\) −6.47080 + 13.1331i −0.391630 + 0.794849i
\(274\) 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
\(279\) −11.8504 15.4214i −0.709467 0.923257i
\(280\) 4.83749 + 9.85320i 0.289096 + 0.588842i
\(281\) 11.0817 8.05131i 0.661078 0.480301i −0.205949 0.978563i \(-0.566028\pi\)
0.867027 + 0.498262i \(0.166028\pi\)
\(282\) −0.132847 0.252287i −0.00791095 0.0150235i
\(283\) 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
\(285\) 1.04856 + 0.00148105i 0.0621113 + 8.77296e-5i
\(286\) −8.71049 + 4.70455i −0.515062 + 0.278186i
\(287\) −19.0174 −1.12256
\(288\) 4.95446 16.7691i 0.291944 0.988126i
\(289\) −0.394774 + 1.21499i −0.0232220 + 0.0714700i
\(290\) −11.4073 + 1.63346i −0.669861 + 0.0959202i
\(291\) 3.98932 4.09802i 0.233858 0.240230i
\(292\) −12.5483 + 9.11684i −0.734331 + 0.533523i
\(293\) −23.2050 + 7.53977i −1.35565 + 0.440478i −0.894589 0.446889i \(-0.852532\pi\)
−0.461063 + 0.887367i \(0.652532\pi\)
\(294\) −0.529055 + 3.65784i −0.0308551 + 0.213329i
\(295\) 16.9309 16.4353i 0.985753 0.956897i
\(296\) 14.6928 0.854001
\(297\) −16.6985 4.26145i −0.968945 0.247275i
\(298\) 6.13886i 0.355615i
\(299\) 14.7957 + 10.7497i 0.855660 + 0.621673i
\(300\) 11.5192 + 6.10730i 0.665059 + 0.352605i
\(301\) −1.03966 3.19974i −0.0599249 0.184430i
\(302\) 10.7632 7.81992i 0.619353 0.449986i
\(303\) −2.12148 2.06521i −0.121876 0.118643i
\(304\) −0.328949 + 0.106882i −0.0188665 + 0.00613011i
\(305\) 19.1061 + 10.0952i 1.09401 + 0.578051i
\(306\) −8.64946 2.55550i −0.494457 0.146088i
\(307\) −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 0.244417 0.969670i \(-0.421403\pi\)
−0.372220 + 0.928144i \(0.621403\pi\)
\(312\) 8.44413 + 16.0360i 0.478055 + 0.907862i
\(313\) −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
\(315\) −6.20736 11.8287i −0.349745 0.666474i
\(316\) 0.322945 + 0.104931i 0.0181671 + 0.00590284i
\(317\) 20.0536 + 14.5698i 1.12632 + 0.818319i 0.985155 0.171667i \(-0.0549152\pi\)
0.141165 + 0.989986i \(0.454915\pi\)
\(318\) 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
\(321\) 4.91649 + 2.42241i 0.274412 + 0.135206i
\(322\) −5.73817 1.86444i −0.319776 0.103901i
\(323\) 0.357675 + 1.10081i 0.0199016 + 0.0612507i
\(324\) −3.48855 + 13.0927i −0.193808 + 0.727374i
\(325\) −20.3706 + 5.95603i −1.12996 + 0.330381i
\(326\) −4.90077 15.0830i −0.271429 0.835372i
\(327\) 0.893459 6.17730i 0.0494084 0.341605i
\(328\) −13.8372 + 19.0453i −0.764033 + 1.05160i
\(329\) 0.466174 0.0257010
\(330\) 1.21143 8.95123i 0.0666868 0.492749i
\(331\) 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
\(333\) −17.8746 + 0.480580i −0.979521 + 0.0263356i
\(334\) −1.16548 3.58696i −0.0637720 0.196270i
\(335\) 0.888582 + 1.80990i 0.0485484 + 0.0988854i
\(336\) 3.15742 + 3.07367i 0.172251 + 0.167683i
\(337\) −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
\(339\) 5.88601 11.9462i 0.319684 0.648827i
\(340\) −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
\(345\) −15.8775 + 5.13414i −0.854817 + 0.276413i
\(346\) −9.27557 + 6.73910i −0.498658 + 0.362296i
\(347\) 9.19468 + 12.6554i 0.493596 + 0.679377i 0.981046 0.193774i \(-0.0620729\pi\)
−0.487450 + 0.873151i \(0.662073\pi\)
\(348\) −16.9092 + 8.90393i −0.906429 + 0.477301i
\(349\) −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 \(-0.663312\pi\)
−0.490846 + 0.871246i \(0.663312\pi\)
\(354\) −5.68059 + 11.5293i −0.301920 + 0.612774i
\(355\) −1.03983 0.549424i −0.0551886 0.0291604i
\(356\) −22.7033 + 7.37676i −1.20327 + 0.390967i
\(357\) 10.2859 10.5661i 0.544386 0.559219i
\(358\) −0.152584 + 0.110859i −0.00806432 + 0.00585907i
\(359\) −5.34445 16.4485i −0.282069 0.868120i −0.987262 0.159104i \(-0.949139\pi\)
0.705192 0.709016i \(-0.250861\pi\)
\(360\) −16.3627 2.39023i −0.862388 0.125976i
\(361\) −15.3120 11.1248i −0.805896 0.585518i
\(362\) 0.150359i 0.00790271i
\(363\) 18.5997 4.12930i 0.976231 0.216732i
\(364\) −12.7257 −0.667007
\(365\) 16.0460 + 16.5299i 0.839887 + 0.865214i
\(366\) −11.6493 1.68491i −0.608918 0.0880714i
\(367\) −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
\(369\) 16.2108 23.6223i 0.843901 1.22973i
\(370\) −1.32848 9.27751i −0.0690646 0.482315i
\(371\) −4.26789 + 13.1352i −0.221578 + 0.681947i
\(372\) 7.47154 15.1642i 0.387381 0.786225i
\(373\) 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
\(375\) 6.55419 18.2220i 0.338457 0.940982i
\(376\) 0.339192 0.466858i 0.0174925 0.0240764i
\(377\) 9.61288 29.5854i 0.495089 1.52373i
\(378\) 5.34841 + 4.93362i 0.275092 + 0.253758i
\(379\) 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
\(381\) −15.4194 + 8.11942i −0.789959 + 0.415970i
\(382\) −0.865899 + 2.66496i −0.0443032 + 0.136351i
\(383\) −6.84780 4.97522i −0.349906 0.254222i 0.398924 0.916984i \(-0.369384\pi\)
−0.748830 + 0.662763i \(0.769384\pi\)
\(384\) 18.0451 3.10721i 0.920858 0.158564i
\(385\) 12.0266 + 8.57132i 0.612931 + 0.436835i
\(386\) 11.3891i 0.579689i
\(387\) 4.86075 + 1.43612i 0.247086 + 0.0730021i
\(388\) 4.72778 + 1.53615i 0.240017 + 0.0779861i
\(389\) −25.0694 + 8.14555i −1.27107 + 0.412996i −0.865427 0.501036i \(-0.832952\pi\)
−0.405643 + 0.914031i \(0.632952\pi\)
\(390\) 9.36219 6.78184i 0.474073 0.343412i
\(391\) −10.8270 14.9021i −0.547547 0.753633i
\(392\) −7.11404 + 2.31149i −0.359313 + 0.116748i
\(393\) −27.1677 3.92942i −1.37043 0.198213i
\(394\) 3.24032 + 2.35423i 0.163245 + 0.118605i
\(395\) 0.0862861 0.496907i 0.00434153 0.0250021i
\(396\) −3.09234 14.6569i −0.155396 0.736537i
\(397\) 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
\(399\) 0.133672 0.924198i 0.00669198 0.0462678i
\(400\) −0.189717 + 6.38489i −0.00948585 + 0.319245i
\(401\) −20.7738 28.5926i −1.03739 1.42785i −0.899249 0.437436i \(-0.855887\pi\)
−0.138143 0.990412i \(-0.544113\pi\)
\(402\) −0.786953 0.766079i −0.0392497 0.0382086i
\(403\) 8.50354 + 26.1712i 0.423591 + 1.30368i
\(404\) 0.795240 2.44750i 0.0395647 0.121768i
\(405\) 19.9843 + 2.37264i 0.993026 + 0.117898i
\(406\) 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
\(411\) −19.4299 + 10.2313i −0.958408 + 0.504671i
\(412\) 5.24700 + 7.22188i 0.258501 + 0.355796i
\(413\) −12.3516 17.0006i −0.607785 0.836544i
\(414\) 7.20724 5.53833i 0.354216 0.272194i
\(415\) 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 \(0.0132072\pi\)
−0.999139 + 0.0414797i \(0.986793\pi\)
\(420\) 6.83819 9.38407i 0.333670 0.457896i
\(421\) 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
\(423\) −0.397376 + 0.579054i −0.0193211 + 0.0281546i
\(424\) 10.0492 + 13.8315i 0.488030 + 0.671716i
\(425\) 21.3667 + 0.634877i 1.03644 + 0.0307960i
\(426\) 0.634003 + 0.0916996i 0.0307176 + 0.00444286i
\(427\) 11.3116 15.5691i 0.547407 0.753440i
\(428\) 4.76399i 0.230276i
\(429\) 20.2493 + 13.5846i 0.977646 + 0.655871i
\(430\) −0.454504 + 2.61741i −0.0219181 + 0.126223i
\(431\) 14.8290 + 10.7739i 0.714287 + 0.518960i 0.884554 0.466438i \(-0.154463\pi\)
−0.170267 + 0.985398i \(0.554463\pi\)
\(432\) −6.50939 + 1.30190i −0.313183 + 0.0626378i
\(433\) −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
\(435\) 16.6511 + 22.9865i 0.798359 + 1.10212i
\(436\) 5.15967 1.67648i 0.247103 0.0802887i
\(437\) −1.10939 0.360464i −0.0530695 0.0172433i
\(438\) −11.2562 5.54606i −0.537843 0.265001i
\(439\) 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 \(0.219467\pi\)
−0.998130 + 0.0611190i \(0.980533\pi\)
\(444\) −7.24151 13.7522i −0.343667 0.652649i
\(445\) 15.6256 + 31.8269i 0.740725 + 1.50874i
\(446\) 8.98775 6.52999i 0.425582 0.309204i
\(447\) 13.3790 7.04501i 0.632805 0.333217i
\(448\) 0.949872 2.92341i 0.0448772 0.138118i
\(449\) −4.40619 + 6.06460i −0.207941 + 0.286206i −0.900231 0.435414i \(-0.856602\pi\)
0.692289 + 0.721620i \(0.256602\pi\)
\(450\) −0.0297974 + 10.5480i −0.00140466 + 0.497239i
\(451\) −4.20349 + 31.3932i −0.197935 + 1.47825i
\(452\) 11.5756 0.544471
\(453\) −29.3946 14.4830i −1.38108 0.680473i
\(454\) −0.303422 + 0.933836i −0.0142403 + 0.0438271i
\(455\) 2.67918 + 18.7101i 0.125602 + 0.877145i
\(456\) −0.828294 0.806324i −0.0387884 0.0377596i
\(457\) 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
\(459\) 4.35674 + 21.7833i 0.203355 + 1.01676i
\(460\) −10.1027 10.4073i −0.471040 0.485244i
\(461\) 9.37436 0.436607 0.218304 0.975881i \(-0.429948\pi\)
0.218304 + 0.975881i \(0.429948\pi\)
\(462\) −7.73827 2.19794i −0.360017 0.102257i
\(463\) 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
\(465\) −23.8684 7.79259i −1.10687 0.361373i
\(466\) −3.40141 10.4685i −0.157567 0.484943i
\(467\) −22.5665 + 16.3955i −1.04425 + 0.758694i −0.971111 0.238627i \(-0.923303\pi\)
−0.0731419 + 0.997322i \(0.523303\pi\)
\(468\) 10.8476 15.8071i 0.501432 0.730683i
\(469\) 1.70774 0.554877i 0.0788560 0.0256219i
\(470\) −0.325459 0.171965i −0.0150123 0.00793216i
\(471\) 22.2062 + 10.9413i 1.02321 + 0.504146i
\(472\) −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
\(477\) −12.6778 16.4981i −0.580475 0.755395i
\(478\) −7.59295 10.4508i −0.347294 0.478009i
\(479\) 7.89453 5.73571i 0.360710 0.262071i −0.392638 0.919693i \(-0.628437\pi\)
0.753348 + 0.657622i \(0.228437\pi\)
\(480\) −6.94538 21.4789i −0.317012 0.980372i
\(481\) 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
\(486\) −10.6873 + 2.43796i −0.484788 + 0.110588i
\(487\) 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
\(489\) −27.2477 + 27.9901i −1.23218 + 1.26576i
\(490\) 2.10279 + 4.28304i 0.0949942 + 0.193488i
\(491\) −6.27879 19.3241i −0.283358 0.872086i −0.986886 0.161419i \(-0.948393\pi\)
0.703528 0.710667i \(-0.251607\pi\)
\(492\) 24.6459 + 3.56468i 1.11112 + 0.160708i
\(493\) −18.4163 + 25.3478i −0.829427 + 1.14161i
\(494\) 0.808121 0.0363591
\(495\) −20.8985 + 7.63234i −0.939318 + 0.343048i
\(496\) 8.28220 0.371882
\(497\) −0.615625 + 0.847335i −0.0276145 + 0.0380082i
\(498\) −2.42405 0.350604i −0.108624 0.0157109i
\(499\) 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
\(501\) −6.47990 + 6.65646i −0.289500 + 0.297389i
\(502\) 2.43449 + 7.49258i 0.108656 + 0.334410i
\(503\) 18.9478 + 6.15652i 0.844841 + 0.274505i 0.699284 0.714844i \(-0.253502\pi\)
0.145557 + 0.989350i \(0.453502\pi\)
\(504\) −4.17273 + 14.1232i −0.185868 + 0.629097i
\(505\) −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 −0.285160 0.958480i \(-0.592047\pi\)
−0.794079 + 0.607814i \(0.792047\pi\)
\(510\) −11.0788 + 3.58242i −0.490576 + 0.158632i
\(511\) 16.5980 12.0591i 0.734251 0.533464i
\(512\) 8.07895 + 11.1197i 0.357042 + 0.491427i
\(513\) 1.03404 + 0.953846i 0.0456540 + 0.0421133i
\(514\) −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
\(519\) 25.3319 + 12.4813i 1.11195 + 0.547867i
\(520\) 20.6870 + 10.9306i 0.907186 + 0.479337i
\(521\) −2.77739 + 0.902428i −0.121680 + 0.0395361i −0.369224 0.929341i \(-0.620376\pi\)
0.247544 + 0.968877i \(0.420376\pi\)
\(522\) −12.7477 8.74809i −0.557950 0.382893i
\(523\) 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
\(525\) −15.2367 8.07831i −0.664986 0.352566i
\(526\) 13.6937 + 9.94902i 0.597072 + 0.433798i
\(527\) 27.7159i 1.20732i
\(528\) 5.77180 4.53277i 0.251186 0.197264i
\(529\) −4.43631 −0.192883
\(530\) 7.82503 7.59598i 0.339898 0.329948i
\(531\) 31.6459 0.850840i 1.37332 0.0369233i
\(532\) 0.771948 0.250821i 0.0334682 0.0108745i
\(533\) −32.7946 + 23.8267i −1.42049 + 1.03205i
\(534\) −13.8385 13.4714i −0.598850 0.582965i
\(535\) 7.00433 1.00298i 0.302824 0.0433626i
\(536\) 0.686874 2.11398i 0.0296684 0.0913100i
\(537\) 0.416712 + 0.205318i 0.0179824 + 0.00886014i
\(538\) 17.7560 0.765517
\(539\) −6.94374 + 7.28492i −0.299088 + 0.313784i
\(540\) 5.82732 + 16.4932i 0.250768 + 0.709753i
\(541\) −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
\(543\) −0.327692 + 0.172554i −0.0140626 + 0.00740499i
\(544\) 20.1594 14.6466i 0.864325 0.627969i
\(545\) −3.55115 7.23313i −0.152115 0.309833i
\(546\) −4.79686 9.10960i −0.205287 0.389855i
\(547\) −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
\(552\) 16.5018 + 8.13060i 0.702363 + 0.346061i
\(553\) −0.427169 0.138796i −0.0181651 0.00590220i
\(554\) −6.54199 + 2.12562i −0.277943 + 0.0903090i
\(555\) −18.6948 + 13.5422i −0.793549 + 0.574836i
\(556\) −13.4913 18.5692i −0.572159 0.787510i
\(557\) 9.96646 3.23830i 0.422292 0.137211i −0.0901589 0.995927i \(-0.528737\pi\)
0.512451 + 0.858716i \(0.328737\pi\)
\(558\) 13.6715 0.367576i 0.578762 0.0155607i
\(559\) −5.80176 4.21523i −0.245388 0.178285i
\(560\) 5.60482 + 0.973257i 0.236847 + 0.0411276i
\(561\) −15.1687 19.3150i −0.640421 0.815481i
\(562\) 9.63230i 0.406314i
\(563\) 21.2655 29.2694i 0.896232 1.23356i −0.0754225 0.997152i \(-0.524031\pi\)
0.971654 0.236406i \(-0.0759695\pi\)
\(564\) −0.604145 0.0873811i −0.0254391 0.00367941i
\(565\) −2.43706 17.0192i −0.102528 0.716005i
\(566\) 12.3393 + 16.9836i 0.518659 + 0.713873i
\(567\) 4.61441 17.3181i 0.193787 0.727294i
\(568\) 0.400645 + 1.23306i 0.0168107 + 0.0517379i
\(569\) −0.102235 + 0.314646i −0.00428590 + 0.0131907i −0.953177 0.302414i \(-0.902207\pi\)
0.948891 + 0.315605i \(0.102207\pi\)
\(570\) −0.434247 + 0.595918i −0.0181886 + 0.0249603i
\(571\) 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
\(576\) 2.82159 + 3.67185i 0.117566 + 0.152994i
\(577\) −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
\(579\) 24.8213 13.0702i 1.03154 0.543179i
\(580\) −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
\(585\) −25.5244 12.6210i −1.05531 0.521814i
\(586\) 5.30201 16.3179i 0.219024 0.674086i
\(587\) 4.29831 + 13.2288i 0.177410 + 0.546012i 0.999735 0.0230056i \(-0.00732356\pi\)
−0.822325 + 0.569018i \(0.807324\pi\)
\(588\) 5.66975 + 5.51936i 0.233816 + 0.227614i
\(589\) −1.03166 1.41996i −0.0425088 0.0585084i
\(590\) 2.35201 + 16.4253i 0.0968305 + 0.676219i
\(591\) 1.41218 9.76368i 0.0580892 0.401624i
\(592\) 4.47575 6.16034i 0.183952 0.253188i
\(593\) 21.9317i 0.900628i 0.892870 + 0.450314i \(0.148688\pi\)
−0.892870 + 0.450314i \(0.851312\pi\)
\(594\) 9.32642 7.73846i 0.382667 0.317513i
\(595\) 3.25695 18.7562i 0.133522 0.768930i
\(596\) 10.6327 + 7.72513i 0.435534 + 0.316434i
\(597\) 20.9754 + 3.03379i 0.858465 + 0.124165i
\(598\) −12.2312 + 3.97414i −0.500169 + 0.162515i
\(599\) 9.26009 + 12.7454i 0.378357 + 0.520764i 0.955148 0.296128i \(-0.0956954\pi\)
−0.576791 + 0.816892i \(0.695695\pi\)
\(600\) −19.1766 + 9.38127i −0.782880 + 0.382989i
\(601\) −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
\(603\) −0.766475 + 2.59424i −0.0312133 + 0.105646i
\(604\) 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
\(609\) 22.3663 11.7775i 0.906330 0.477248i
\(610\) −13.6404 + 6.69684i −0.552284 + 0.271147i
\(611\) 0.803895 0.584064i 0.0325221 0.0236287i
\(612\) −15.3107 + 11.7653i −0.618898 + 0.475585i
\(613\) 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
\(615\) 0.0522419 36.9865i 0.00210660 1.49144i
\(616\) −2.93165 16.0149i −0.118119 0.645258i
\(617\) −4.13390 −0.166425 −0.0832123 0.996532i \(-0.526518\pi\)
−0.0832123 + 0.996532i \(0.526518\pi\)
\(618\) −3.19191 + 6.47828i −0.128398 + 0.260595i
\(619\) −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
\(621\) −20.3413 9.35158i −0.816267 0.375266i
\(622\) 1.34820 0.979527i 0.0540580 0.0392755i
\(623\) 30.0304 9.75746i 1.20314 0.390924i
\(624\) 9.29580 + 1.34451i 0.372130 + 0.0538233i
\(625\) −6.30009 24.1932i −0.252003 0.967726i
\(626\) 10.2751 0.410677
\(627\) −1.49609 0.424941i −0.0597480 0.0169705i
\(628\) 21.5174i 0.858639i
\(629\) −20.6152 14.9778i −0.821983 0.597205i
\(630\) 9.29514 + 1.35782i 0.370327 + 0.0540967i
\(631\) −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
\(633\) −4.43958 + 4.56054i −0.176457 + 0.181265i
\(634\) −16.5776 + 5.38640i −0.658382 + 0.213921i
\(635\) −10.5102 + 19.8915i −0.417086 + 0.789370i
\(636\) 7.99315 16.2228i 0.316949 0.643277i
\(637\) −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 0.755666 0.654957i \(-0.227313\pi\)
0.226372 + 0.974041i \(0.427313\pi\)
\(642\) −3.41027 + 1.79576i −0.134593 + 0.0708728i
\(643\) −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
\(645\) 6.22596 2.01322i 0.245147 0.0792704i
\(646\) −0.774096 0.251519i −0.0304564 0.00989588i
\(647\) −17.6799 12.8452i −0.695070 0.504998i 0.183253 0.983066i \(-0.441337\pi\)
−0.878323 + 0.478068i \(0.841337\pi\)
\(648\) −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
\(651\) −9.88283 + 20.0581i −0.387339 + 0.786138i
\(652\) −32.2915 10.4921i −1.26463 0.410904i
\(653\) 0.796398 + 2.45106i 0.0311654 + 0.0959174i 0.965429 0.260665i \(-0.0839419\pi\)
−0.934264 + 0.356583i \(0.883942\pi\)
\(654\) 3.14500 + 3.06158i 0.122979 + 0.119717i
\(655\) −31.8112 + 15.6179i −1.24297 + 0.610243i
\(656\) 3.77012 + 11.6032i 0.147199 + 0.453031i
\(657\) 0.830689 + 30.8965i 0.0324083 + 1.20539i
\(658\) −0.192685 + 0.265209i −0.00751166 + 0.0103389i
\(659\) −35.4001 −1.37899 −0.689496 0.724290i \(-0.742168\pi\)
−0.689496 + 0.724290i \(0.742168\pi\)
\(660\) −13.9794 13.3624i −0.544148 0.520132i
\(661\) −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
\(663\) 4.49931 31.1079i 0.174739 1.20813i
\(664\) −1.53182 4.71447i −0.0594463 0.182957i
\(665\) −0.531295 1.08216i −0.0206027 0.0419645i
\(666\) 7.11477 10.3676i 0.275692 0.401736i
\(667\) −9.75751 30.0305i −0.377812 1.16279i
\(668\) −7.67938 2.49518i −0.297124 0.0965415i
\(669\) −24.5458 12.0940i −0.948997 0.467581i
\(670\) −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
\(675\) 23.0225 12.0401i 0.886137 0.463423i
\(676\) −6.11116 + 4.44001i −0.235044 + 0.170770i
\(677\) −24.4276 33.6218i −0.938830 1.29219i −0.956314 0.292342i \(-0.905565\pi\)
0.0174834 0.999847i \(-0.494435\pi\)
\(678\) 4.36336 + 8.28634i 0.167574 + 0.318235i
\(679\) −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 \(-0.438932\pi\)
0.190677 + 0.981653i \(0.438932\pi\)
\(684\) −0.346469 + 1.17267i −0.0132476 + 0.0448383i
\(685\) −13.2439 + 25.0653i −0.506024 + 0.957695i
\(686\) 13.3639 4.34220i 0.510237 0.165786i
\(687\) 13.0723 + 12.7255i 0.498738 + 0.485509i
\(688\) −1.74618 + 1.26867i −0.0665724 + 0.0483676i
\(689\) 9.09720 + 27.9983i 0.346576 + 1.06665i
\(690\) 3.64188 11.1549i 0.138644 0.424661i
\(691\) 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
\(693\) 4.09033 + 19.3871i 0.155379 + 0.736456i
\(694\) −11.0002 −0.417561
\(695\) −24.4613 + 23.7453i −0.927870 + 0.900709i
\(696\) 4.47917 30.9686i 0.169783 1.17386i
\(697\) 38.8296 12.6165i 1.47078 0.477884i
\(698\) 17.3316 12.5922i 0.656013 0.476621i
\(699\) −18.9114 + 19.4267i −0.715296 + 0.734786i
\(700\) 0.445210 14.9835i 0.0168274 0.566322i
\(701\) −0.379885 + 1.16917i −0.0143481 + 0.0441588i −0.957974 0.286854i \(-0.907390\pi\)
0.943626 + 0.331013i \(0.107390\pi\)
\(702\) 15.4044 + 1.80683i 0.581400 + 0.0681945i
\(703\) −1.61369 −0.0608614
\(704\) −4.61590 2.21419i −0.173968 0.0834503i
\(705\) −0.00128061 + 0.906651i −4.82305e−5 + 0.0341465i
\(706\) 7.62366 10.4931i 0.286920 0.394912i
\(707\) −1.05189 + 3.23738i −0.0395603 + 0.121754i
\(708\) 12.8207 + 24.3474i 0.481830 + 0.915032i
\(709\) 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
\(711\) 0.536532 0.412292i 0.0201215 0.0154622i
\(712\) 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
\(717\) −14.0627 + 28.5415i −0.525180 + 1.06590i
\(718\) 11.5667 + 3.75825i 0.431665 + 0.140257i
\(719\) 21.3753 6.94525i 0.797164 0.259014i 0.118012 0.993012i \(-0.462348\pi\)
0.679152 + 0.733998i \(0.262348\pi\)
\(720\) −5.98659 + 6.13236i −0.223107 + 0.228540i
\(721\) −6.94037 9.55259i −0.258473 0.355757i
\(722\) 12.6580 4.11282i 0.471080 0.153063i
\(723\) −0.434888 + 3.00678i −0.0161737 + 0.111823i
\(724\) −0.260428 0.189212i −0.00967872 0.00703200i
\(725\) 34.4981 + 12.3535i 1.28123 + 0.458796i
\(726\) −5.33870 + 12.2882i −0.198138 + 0.456059i
\(727\) 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
\(729\) 17.5782 + 20.4941i 0.651043 + 0.759041i
\(730\) −16.0363 + 2.29630i −0.593530 + 0.0849900i
\(731\) 4.24554 + 5.84348i 0.157027 + 0.216129i
\(732\) −17.5778 + 18.0567i −0.649693 + 0.667395i
\(733\) 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
\(735\) 6.92125 9.49805i 0.255294 0.350341i
\(736\) 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
\(741\) −0.927407 1.76121i −0.0340691 0.0646998i
\(742\) −5.70863 7.85726i −0.209570 0.288449i
\(743\) 29.3251 + 40.3625i 1.07583 + 1.48076i 0.864026 + 0.503447i \(0.167935\pi\)
0.211807 + 0.977311i \(0.432065\pi\)
\(744\) 12.8967 + 24.4918i 0.472816 + 0.897913i
\(745\) 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
\(750\) 7.65754 + 11.2605i 0.279614 + 0.411175i
\(751\) 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
\(753\) 13.5354 13.9042i 0.493259 0.506699i
\(754\) 12.8580 + 17.6975i 0.468259 + 0.644503i
\(755\) −41.8773 + 5.99659i −1.52407 + 0.218238i
\(756\) 15.2756 3.05518i 0.555569 0.111116i
\(757\) −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
\(759\) 24.7335 0.925788i 0.897768 0.0336040i
\(760\) −1.47033 0.255317i −0.0533344 0.00926132i
\(761\) −39.8694 28.9668i −1.44526 1.05005i −0.986909 0.161276i \(-0.948439\pi\)
−0.458354 0.888770i \(-0.651561\pi\)
\(762\) 1.75417 12.1282i 0.0635469 0.439358i
\(763\) −6.82484 + 2.21753i −0.247076 + 0.0802798i
\(764\) 3.52617 + 4.85335i 0.127572 + 0.175588i
\(765\) 20.5216 + 20.0338i 0.741960 + 0.724323i
\(766\) 5.66085 1.83932i 0.204535 0.0664574i
\(767\) −42.5997 13.8415i −1.53819 0.499787i
\(768\) −8.05422 + 16.3468i −0.290632 + 0.589863i
\(769\) 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 −0.999470 0.0325533i \(-0.989636\pi\)
0.827723 + 0.561138i \(0.189636\pi\)
\(774\) −2.82613