Properties

Label 370.2.x.a.49.16
Level $370$
Weight $2$
Character 370.49
Analytic conductor $2.954$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 49.16
Character \(\chi\) \(=\) 370.49
Dual form 370.2.x.a.219.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.642788 + 0.766044i) q^{2} +(0.958481 - 1.14227i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-0.774702 - 2.09758i) q^{5} +1.49113 q^{6} +(-1.14359 - 3.14198i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.134843 + 0.764731i) q^{9} +O(q^{10})\) \(q+(0.642788 + 0.766044i) q^{2} +(0.958481 - 1.14227i) q^{3} +(-0.173648 + 0.984808i) q^{4} +(-0.774702 - 2.09758i) q^{5} +1.49113 q^{6} +(-1.14359 - 3.14198i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.134843 + 0.764731i) q^{9} +(1.10887 - 1.94175i) q^{10} +(-2.82853 - 4.89915i) q^{11} +(0.958481 + 1.14227i) q^{12} +(7.01795 + 1.23745i) q^{13} +(1.67181 - 2.89566i) q^{14} +(-3.13854 - 1.12557i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.135980 - 0.0239769i) q^{17} +(-0.499143 + 0.594855i) q^{18} +(2.40473 + 2.01781i) q^{19} +(2.20024 - 0.398692i) q^{20} +(-4.68510 - 1.70524i) q^{21} +(1.93483 - 5.31589i) q^{22} +(-4.10254 - 2.36860i) q^{23} +(-0.258932 + 1.46848i) q^{24} +(-3.79967 + 3.25000i) q^{25} +(3.56311 + 6.17149i) q^{26} +(4.87685 + 2.81565i) q^{27} +(3.29282 - 0.580614i) q^{28} +(3.66896 + 6.35483i) q^{29} +(-1.15518 - 3.12776i) q^{30} -2.49268 q^{31} +(-0.342020 - 0.939693i) q^{32} +(-8.30726 - 1.46479i) q^{33} +(0.105774 + 0.0887545i) q^{34} +(-5.70460 + 4.83286i) q^{35} -0.776528 q^{36} +(3.63280 - 4.87881i) q^{37} +3.13915i q^{38} +(8.14008 - 6.83034i) q^{39} +(1.71970 + 1.42921i) q^{40} +(0.125638 - 0.712527i) q^{41} +(-1.70524 - 4.68510i) q^{42} +11.3402i q^{43} +(5.31589 - 1.93483i) q^{44} +(1.49962 - 0.875282i) q^{45} +(-0.822607 - 4.66523i) q^{46} +(2.72976 + 1.57603i) q^{47} +(-1.29136 + 0.745565i) q^{48} +(-3.20191 + 2.68673i) q^{49} +(-4.93203 - 0.821661i) q^{50} +(0.102946 - 0.178307i) q^{51} +(-2.43731 + 6.69645i) q^{52} +(1.74669 - 4.79900i) q^{53} +(0.977865 + 5.54575i) q^{54} +(-8.08509 + 9.72844i) q^{55} +(2.56136 + 2.14924i) q^{56} +(4.60977 - 0.812826i) q^{57} +(-2.50972 + 6.89540i) q^{58} +(-1.05245 - 0.383059i) q^{59} +(1.65347 - 2.89541i) q^{60} +(-1.68674 + 9.56600i) q^{61} +(-1.60227 - 1.90951i) q^{62} +(2.24856 - 1.29821i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.84116 - 15.6794i) q^{65} +(-4.21770 - 7.30528i) q^{66} +(-3.86242 - 10.6119i) q^{67} +0.138078i q^{68} +(-6.63779 + 2.41596i) q^{69} +(-7.36903 - 1.26348i) q^{70} +(9.39674 + 7.88480i) q^{71} +(-0.499143 - 0.594855i) q^{72} -1.50737i q^{73} +(6.07250 - 0.353151i) q^{74} +(0.0704694 + 7.45532i) q^{75} +(-2.40473 + 2.01781i) q^{76} +(-12.1584 + 14.4898i) q^{77} +(10.4647 + 1.84521i) q^{78} +(2.72882 - 0.993208i) q^{79} +(0.0105676 + 2.23604i) q^{80} +(5.70151 - 2.07518i) q^{81} +(0.626586 - 0.361760i) q^{82} +(-11.8068 + 2.08186i) q^{83} +(2.49289 - 4.31781i) q^{84} +(-0.155637 - 0.266653i) q^{85} +(-8.68713 + 7.28937i) q^{86} +(10.7756 + 1.90003i) q^{87} +(4.89915 + 2.82853i) q^{88} +(6.23421 + 2.26907i) q^{89} +(1.63444 + 0.586156i) q^{90} +(-4.13758 - 23.4654i) q^{91} +(3.04502 - 3.62891i) q^{92} +(-2.38919 + 2.84732i) q^{93} +(0.547349 + 3.10417i) q^{94} +(2.36956 - 6.60730i) q^{95} +(-1.40120 - 0.509997i) q^{96} +(3.46305 + 1.99939i) q^{97} +(-4.11630 - 0.725815i) q^{98} +(3.36513 - 2.82368i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 12 q^{9} + O(q^{10}) \) \( 108 q - 12 q^{9} + 12 q^{11} - 6 q^{14} + 6 q^{19} - 24 q^{21} + 30 q^{25} + 48 q^{26} + 24 q^{30} - 192 q^{31} + 12 q^{34} + 30 q^{35} + 84 q^{36} + 24 q^{39} + 12 q^{40} - 108 q^{41} + 6 q^{44} - 30 q^{45} - 54 q^{46} + 60 q^{49} - 12 q^{50} + 30 q^{55} - 48 q^{59} + 24 q^{61} + 54 q^{64} - 6 q^{65} - 120 q^{69} - 12 q^{70} + 12 q^{71} - 60 q^{74} - 156 q^{75} - 6 q^{76} + 12 q^{80} + 120 q^{81} - 24 q^{84} - 30 q^{85} + 12 q^{86} + 54 q^{89} + 18 q^{90} - 138 q^{91} + 6 q^{94} + 84 q^{95} - 90 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 + 0.766044i 0.454519 + 0.541675i
\(3\) 0.958481 1.14227i 0.553379 0.659491i −0.414752 0.909934i \(-0.636132\pi\)
0.968131 + 0.250443i \(0.0805762\pi\)
\(4\) −0.173648 + 0.984808i −0.0868241 + 0.492404i
\(5\) −0.774702 2.09758i −0.346457 0.938066i
\(6\) 1.49113 0.608752
\(7\) −1.14359 3.14198i −0.432235 1.18756i −0.944438 0.328691i \(-0.893393\pi\)
0.512203 0.858865i \(-0.328830\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 0.134843 + 0.764731i 0.0449476 + 0.254910i
\(10\) 1.10887 1.94175i 0.350655 0.614036i
\(11\) −2.82853 4.89915i −0.852833 1.47715i −0.878641 0.477483i \(-0.841549\pi\)
0.0258078 0.999667i \(-0.491784\pi\)
\(12\) 0.958481 + 1.14227i 0.276689 + 0.329746i
\(13\) 7.01795 + 1.23745i 1.94643 + 0.343208i 0.999781 + 0.0209434i \(0.00666697\pi\)
0.946650 + 0.322265i \(0.104444\pi\)
\(14\) 1.67181 2.89566i 0.446810 0.773898i
\(15\) −3.13854 1.12557i −0.810368 0.290620i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 0.135980 0.0239769i 0.0329799 0.00581525i −0.157134 0.987577i \(-0.550225\pi\)
0.190114 + 0.981762i \(0.439114\pi\)
\(18\) −0.499143 + 0.594855i −0.117649 + 0.140209i
\(19\) 2.40473 + 2.01781i 0.551682 + 0.462916i 0.875510 0.483200i \(-0.160525\pi\)
−0.323828 + 0.946116i \(0.604970\pi\)
\(20\) 2.20024 0.398692i 0.491988 0.0891502i
\(21\) −4.68510 1.70524i −1.02237 0.372113i
\(22\) 1.93483 5.31589i 0.412506 1.13335i
\(23\) −4.10254 2.36860i −0.855438 0.493888i 0.00704366 0.999975i \(-0.497758\pi\)
−0.862482 + 0.506088i \(0.831091\pi\)
\(24\) −0.258932 + 1.46848i −0.0528543 + 0.299752i
\(25\) −3.79967 + 3.25000i −0.759935 + 0.649999i
\(26\) 3.56311 + 6.17149i 0.698783 + 1.21033i
\(27\) 4.87685 + 2.81565i 0.938550 + 0.541872i
\(28\) 3.29282 0.580614i 0.622285 0.109726i
\(29\) 3.66896 + 6.35483i 0.681309 + 1.18006i 0.974581 + 0.224033i \(0.0719225\pi\)
−0.293272 + 0.956029i \(0.594744\pi\)
\(30\) −1.15518 3.12776i −0.210906 0.571049i
\(31\) −2.49268 −0.447699 −0.223849 0.974624i \(-0.571862\pi\)
−0.223849 + 0.974624i \(0.571862\pi\)
\(32\) −0.342020 0.939693i −0.0604612 0.166116i
\(33\) −8.30726 1.46479i −1.44611 0.254988i
\(34\) 0.105774 + 0.0887545i 0.0181400 + 0.0152213i
\(35\) −5.70460 + 4.83286i −0.964254 + 0.816902i
\(36\) −0.776528 −0.129421
\(37\) 3.63280 4.87881i 0.597229 0.802071i
\(38\) 3.13915i 0.509237i
\(39\) 8.14008 6.83034i 1.30346 1.09373i
\(40\) 1.71970 + 1.42921i 0.271909 + 0.225977i
\(41\) 0.125638 0.712527i 0.0196213 0.111278i −0.973424 0.229010i \(-0.926451\pi\)
0.993045 + 0.117732i \(0.0375623\pi\)
\(42\) −1.70524 4.68510i −0.263124 0.722926i
\(43\) 11.3402i 1.72937i 0.502313 + 0.864686i \(0.332483\pi\)
−0.502313 + 0.864686i \(0.667517\pi\)
\(44\) 5.31589 1.93483i 0.801401 0.291686i
\(45\) 1.49962 0.875282i 0.223550 0.130479i
\(46\) −0.822607 4.66523i −0.121287 0.687851i
\(47\) 2.72976 + 1.57603i 0.398176 + 0.229887i 0.685697 0.727887i \(-0.259498\pi\)
−0.287520 + 0.957774i \(0.592831\pi\)
\(48\) −1.29136 + 0.745565i −0.186391 + 0.107613i
\(49\) −3.20191 + 2.68673i −0.457416 + 0.383818i
\(50\) −4.93203 0.821661i −0.697494 0.116200i
\(51\) 0.102946 0.178307i 0.0144153 0.0249680i
\(52\) −2.43731 + 6.69645i −0.337994 + 0.928631i
\(53\) 1.74669 4.79900i 0.239927 0.659194i −0.760030 0.649888i \(-0.774816\pi\)
0.999957 0.00930546i \(-0.00296206\pi\)
\(54\) 0.977865 + 5.54575i 0.133071 + 0.754680i
\(55\) −8.08509 + 9.72844i −1.09019 + 1.31178i
\(56\) 2.56136 + 2.14924i 0.342276 + 0.287204i
\(57\) 4.60977 0.812826i 0.610579 0.107661i
\(58\) −2.50972 + 6.89540i −0.329542 + 0.905410i
\(59\) −1.05245 0.383059i −0.137017 0.0498701i 0.272602 0.962127i \(-0.412116\pi\)
−0.409618 + 0.912257i \(0.634338\pi\)
\(60\) 1.65347 2.89541i 0.213462 0.373796i
\(61\) −1.68674 + 9.56600i −0.215966 + 1.22480i 0.663258 + 0.748391i \(0.269173\pi\)
−0.879223 + 0.476410i \(0.841938\pi\)
\(62\) −1.60227 1.90951i −0.203488 0.242507i
\(63\) 2.24856 1.29821i 0.283292 0.163559i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −2.84116 15.6794i −0.352403 1.94479i
\(66\) −4.21770 7.30528i −0.519164 0.899218i
\(67\) −3.86242 10.6119i −0.471869 1.29645i −0.916248 0.400612i \(-0.868798\pi\)
0.444378 0.895839i \(-0.353425\pi\)
\(68\) 0.138078i 0.0167444i
\(69\) −6.63779 + 2.41596i −0.799096 + 0.290847i
\(70\) −7.36903 1.26348i −0.880768 0.151015i
\(71\) 9.39674 + 7.88480i 1.11519 + 0.935754i 0.998351 0.0573976i \(-0.0182803\pi\)
0.116836 + 0.993151i \(0.462725\pi\)
\(72\) −0.499143 0.594855i −0.0588246 0.0701044i
\(73\) 1.50737i 0.176425i −0.996102 0.0882123i \(-0.971885\pi\)
0.996102 0.0882123i \(-0.0281154\pi\)
\(74\) 6.07250 0.353151i 0.705914 0.0410530i
\(75\) 0.0704694 + 7.45532i 0.00813710 + 0.860866i
\(76\) −2.40473 + 2.01781i −0.275841 + 0.231458i
\(77\) −12.1584 + 14.4898i −1.38557 + 1.65126i
\(78\) 10.4647 + 1.84521i 1.18489 + 0.208929i
\(79\) 2.72882 0.993208i 0.307016 0.111745i −0.183918 0.982942i \(-0.558878\pi\)
0.490934 + 0.871197i \(0.336656\pi\)
\(80\) 0.0105676 + 2.23604i 0.00118149 + 0.249997i
\(81\) 5.70151 2.07518i 0.633501 0.230575i
\(82\) 0.626586 0.361760i 0.0691949 0.0399497i
\(83\) −11.8068 + 2.08186i −1.29597 + 0.228514i −0.778747 0.627338i \(-0.784145\pi\)
−0.517221 + 0.855852i \(0.673033\pi\)
\(84\) 2.49289 4.31781i 0.271996 0.471112i
\(85\) −0.155637 0.266653i −0.0168812 0.0289226i
\(86\) −8.68713 + 7.28937i −0.936758 + 0.786033i
\(87\) 10.7756 + 1.90003i 1.15526 + 0.203704i
\(88\) 4.89915 + 2.82853i 0.522251 + 0.301522i
\(89\) 6.23421 + 2.26907i 0.660825 + 0.240521i 0.650593 0.759427i \(-0.274521\pi\)
0.0102326 + 0.999948i \(0.496743\pi\)
\(90\) 1.63444 + 0.586156i 0.172285 + 0.0617863i
\(91\) −4.13758 23.4654i −0.433736 2.45984i
\(92\) 3.04502 3.62891i 0.317465 0.378340i
\(93\) −2.38919 + 2.84732i −0.247747 + 0.295254i
\(94\) 0.547349 + 3.10417i 0.0564547 + 0.320170i
\(95\) 2.36956 6.60730i 0.243112 0.677895i
\(96\) −1.40120 0.509997i −0.143010 0.0520513i
\(97\) 3.46305 + 1.99939i 0.351619 + 0.203007i 0.665398 0.746489i \(-0.268262\pi\)
−0.313779 + 0.949496i \(0.601595\pi\)
\(98\) −4.11630 0.725815i −0.415809 0.0733184i
\(99\) 3.36513 2.82368i 0.338208 0.283790i
\(100\) −2.54082 4.30630i −0.254082 0.430630i
\(101\) −1.51494 + 2.62395i −0.150742 + 0.261093i −0.931500 0.363740i \(-0.881500\pi\)
0.780758 + 0.624833i \(0.214833\pi\)
\(102\) 0.202764 0.0357527i 0.0200766 0.00354005i
\(103\) 3.10870 1.79481i 0.306310 0.176848i −0.338964 0.940799i \(-0.610077\pi\)
0.645274 + 0.763951i \(0.276743\pi\)
\(104\) −6.69645 + 2.43731i −0.656641 + 0.238998i
\(105\) 0.0526875 + 11.1484i 0.00514177 + 1.08797i
\(106\) 4.79900 1.74669i 0.466120 0.169654i
\(107\) −3.60254 0.635224i −0.348270 0.0614095i −0.00322317 0.999995i \(-0.501026\pi\)
−0.345047 + 0.938585i \(0.612137\pi\)
\(108\) −3.61973 + 4.31382i −0.348309 + 0.415098i
\(109\) −4.08455 + 3.42734i −0.391229 + 0.328280i −0.817092 0.576508i \(-0.804415\pi\)
0.425863 + 0.904788i \(0.359971\pi\)
\(110\) −12.6494 + 0.0597812i −1.20607 + 0.00569992i
\(111\) −2.09096 8.82589i −0.198465 0.837716i
\(112\) 3.34362i 0.315942i
\(113\) −9.78768 11.6645i −0.920748 1.09730i −0.994981 0.100064i \(-0.968095\pi\)
0.0742331 0.997241i \(-0.476349\pi\)
\(114\) 3.58576 + 3.00881i 0.335837 + 0.281801i
\(115\) −1.79008 + 10.4404i −0.166926 + 0.973568i
\(116\) −6.89540 + 2.50972i −0.640221 + 0.233022i
\(117\) 5.53371i 0.511592i
\(118\) −0.383059 1.05245i −0.0352635 0.0968856i
\(119\) −0.230839 0.399826i −0.0211610 0.0366520i
\(120\) 3.28084 0.594502i 0.299499 0.0542703i
\(121\) −10.5011 + 18.1885i −0.954648 + 1.65350i
\(122\) −8.41220 + 4.85679i −0.761605 + 0.439713i
\(123\) −0.693479 0.826456i −0.0625289 0.0745191i
\(124\) 0.432850 2.45481i 0.0388711 0.220449i
\(125\) 9.76074 + 5.45234i 0.873027 + 0.487672i
\(126\) 2.43983 + 0.888027i 0.217358 + 0.0791117i
\(127\) −3.44142 + 9.45523i −0.305377 + 0.839016i 0.688165 + 0.725554i \(0.258416\pi\)
−0.993542 + 0.113462i \(0.963806\pi\)
\(128\) 0.984808 0.173648i 0.0870455 0.0153485i
\(129\) 12.9537 + 10.8694i 1.14051 + 0.956998i
\(130\) 10.1848 12.2550i 0.893269 1.07483i
\(131\) −2.34890 13.3213i −0.205224 1.16389i −0.897086 0.441856i \(-0.854320\pi\)
0.691862 0.722030i \(-0.256791\pi\)
\(132\) 2.88508 7.92669i 0.251114 0.689930i
\(133\) 3.58988 9.86313i 0.311282 0.855242i
\(134\) 5.64648 9.77999i 0.487781 0.844862i
\(135\) 2.12794 12.4109i 0.183144 1.06816i
\(136\) −0.105774 + 0.0887545i −0.00907000 + 0.00761064i
\(137\) −16.0503 + 9.26667i −1.37127 + 0.791705i −0.991088 0.133206i \(-0.957473\pi\)
−0.380184 + 0.924911i \(0.624139\pi\)
\(138\) −6.11742 3.53190i −0.520750 0.300655i
\(139\) −0.581335 3.29692i −0.0493082 0.279641i 0.950177 0.311709i \(-0.100902\pi\)
−0.999486 + 0.0320688i \(0.989790\pi\)
\(140\) −3.76884 6.45716i −0.318525 0.545729i
\(141\) 4.41667 1.60754i 0.371951 0.135379i
\(142\) 12.2666i 1.02939i
\(143\) −13.7880 37.8822i −1.15301 3.16787i
\(144\) 0.134843 0.764731i 0.0112369 0.0637276i
\(145\) 10.4874 12.6190i 0.870932 1.04795i
\(146\) 1.15471 0.968921i 0.0955649 0.0801885i
\(147\) 6.23263i 0.514059i
\(148\) 4.17386 + 4.42481i 0.343089 + 0.363717i
\(149\) 6.77763 0.555245 0.277622 0.960690i \(-0.410454\pi\)
0.277622 + 0.960690i \(0.410454\pi\)
\(150\) −5.66581 + 4.84617i −0.462612 + 0.395688i
\(151\) 3.58050 + 3.00440i 0.291377 + 0.244495i 0.776745 0.629816i \(-0.216870\pi\)
−0.485367 + 0.874310i \(0.661314\pi\)
\(152\) −3.09146 0.545107i −0.250750 0.0442140i
\(153\) 0.0366718 + 0.100755i 0.00296474 + 0.00814555i
\(154\) −18.9150 −1.52422
\(155\) 1.93109 + 5.22860i 0.155109 + 0.419971i
\(156\) 5.31306 + 9.20249i 0.425385 + 0.736789i
\(157\) 0.992123 0.174938i 0.0791800 0.0139616i −0.133918 0.990992i \(-0.542756\pi\)
0.213098 + 0.977031i \(0.431645\pi\)
\(158\) 2.51489 + 1.45197i 0.200074 + 0.115513i
\(159\) −3.80760 6.59495i −0.301962 0.523014i
\(160\) −1.70612 + 1.44540i −0.134880 + 0.114269i
\(161\) −2.75049 + 15.5988i −0.216769 + 1.22936i
\(162\) 5.25454 + 3.03371i 0.412836 + 0.238351i
\(163\) 0.269121 0.739404i 0.0210792 0.0579146i −0.928707 0.370815i \(-0.879078\pi\)
0.949786 + 0.312900i \(0.101301\pi\)
\(164\) 0.679886 + 0.247458i 0.0530902 + 0.0193232i
\(165\) 3.36313 + 18.5599i 0.261819 + 1.44489i
\(166\) −9.18408 7.70636i −0.712823 0.598130i
\(167\) 11.1646 13.3055i 0.863945 1.02961i −0.135302 0.990804i \(-0.543200\pi\)
0.999247 0.0388049i \(-0.0123551\pi\)
\(168\) 4.91003 0.865771i 0.378817 0.0667957i
\(169\) 35.5044 + 12.9225i 2.73111 + 0.994041i
\(170\) 0.104227 0.290627i 0.00799382 0.0222900i
\(171\) −1.21882 + 2.11106i −0.0932054 + 0.161436i
\(172\) −11.1680 1.96921i −0.851549 0.150151i
\(173\) 7.13241 + 8.50008i 0.542267 + 0.646249i 0.965694 0.259681i \(-0.0836175\pi\)
−0.423427 + 0.905930i \(0.639173\pi\)
\(174\) 5.47090 + 9.47588i 0.414748 + 0.718365i
\(175\) 14.5567 + 8.22183i 1.10038 + 0.621512i
\(176\) 0.982337 + 5.57111i 0.0740465 + 0.419938i
\(177\) −1.44631 + 0.835026i −0.108711 + 0.0627644i
\(178\) 2.26907 + 6.23421i 0.170074 + 0.467274i
\(179\) 0.409033 0.0305725 0.0152863 0.999883i \(-0.495134\pi\)
0.0152863 + 0.999883i \(0.495134\pi\)
\(180\) 0.601578 + 1.62883i 0.0448390 + 0.121406i
\(181\) 2.31319 13.1188i 0.171938 0.975111i −0.769680 0.638430i \(-0.779584\pi\)
0.941619 0.336681i \(-0.109305\pi\)
\(182\) 15.3159 18.2528i 1.13529 1.35299i
\(183\) 9.31027 + 11.0956i 0.688235 + 0.820207i
\(184\) 4.73720 0.349231
\(185\) −13.0480 3.84046i −0.959310 0.282356i
\(186\) −3.71692 −0.272537
\(187\) −0.502089 0.598367i −0.0367164 0.0437569i
\(188\) −2.02610 + 2.41461i −0.147769 + 0.176104i
\(189\) 3.26961 18.5429i 0.237829 1.34880i
\(190\) 6.58461 2.43190i 0.477698 0.176429i
\(191\) 21.1703 1.53183 0.765914 0.642943i \(-0.222287\pi\)
0.765914 + 0.642943i \(0.222287\pi\)
\(192\) −0.509997 1.40120i −0.0368059 0.101123i
\(193\) 20.0713 11.5882i 1.44476 0.834134i 0.446600 0.894734i \(-0.352635\pi\)
0.998162 + 0.0606001i \(0.0193014\pi\)
\(194\) 0.694381 + 3.93803i 0.0498537 + 0.282734i
\(195\) −20.6333 11.7830i −1.47758 0.843797i
\(196\) −2.08990 3.61981i −0.149279 0.258558i
\(197\) −11.1575 13.2970i −0.794941 0.947374i 0.204563 0.978853i \(-0.434423\pi\)
−0.999504 + 0.0314795i \(0.989978\pi\)
\(198\) 4.32613 + 0.762813i 0.307444 + 0.0542107i
\(199\) −10.5716 + 18.3106i −0.749404 + 1.29801i 0.198705 + 0.980059i \(0.436327\pi\)
−0.948109 + 0.317946i \(0.897007\pi\)
\(200\) 1.66562 4.71442i 0.117777 0.333360i
\(201\) −15.8237 5.75937i −1.11612 0.406235i
\(202\) −2.98385 + 0.526132i −0.209943 + 0.0370186i
\(203\) 15.7710 18.7951i 1.10690 1.31916i
\(204\) 0.157722 + 0.132345i 0.0110428 + 0.00926598i
\(205\) −1.59191 + 0.288461i −0.111184 + 0.0201470i
\(206\) 3.37314 + 1.22772i 0.235018 + 0.0855395i
\(207\) 1.25815 3.45673i 0.0874472 0.240259i
\(208\) −6.17149 3.56311i −0.427916 0.247057i
\(209\) 3.08370 17.4885i 0.213304 1.20971i
\(210\) −8.50631 + 7.20642i −0.586991 + 0.497290i
\(211\) 7.20646 + 12.4819i 0.496113 + 0.859293i 0.999990 0.00448258i \(-0.00142685\pi\)
−0.503877 + 0.863775i \(0.668094\pi\)
\(212\) 4.42278 + 2.55350i 0.303758 + 0.175375i
\(213\) 18.0132 3.17621i 1.23424 0.217630i
\(214\) −1.82906 3.16802i −0.125032 0.216561i
\(215\) 23.7871 8.78531i 1.62226 0.599153i
\(216\) −5.63130 −0.383161
\(217\) 2.85060 + 7.83195i 0.193511 + 0.531667i
\(218\) −5.25099 0.925892i −0.355642 0.0627093i
\(219\) −1.72183 1.44479i −0.116351 0.0976297i
\(220\) −8.17668 9.65159i −0.551272 0.650710i
\(221\) 0.983970 0.0661890
\(222\) 5.41698 7.27494i 0.363564 0.488262i
\(223\) 0.0356996i 0.00239062i −0.999999 0.00119531i \(-0.999620\pi\)
0.999999 0.00119531i \(-0.000380479\pi\)
\(224\) −2.56136 + 2.14924i −0.171138 + 0.143602i
\(225\) −2.99773 2.46749i −0.199849 0.164499i
\(226\) 2.64413 14.9956i 0.175885 0.997493i
\(227\) 2.43716 + 6.69604i 0.161760 + 0.444432i 0.993920 0.110104i \(-0.0351182\pi\)
−0.832160 + 0.554535i \(0.812896\pi\)
\(228\) 4.68088i 0.309999i
\(229\) −7.03299 + 2.55980i −0.464753 + 0.169156i −0.563774 0.825929i \(-0.690651\pi\)
0.0990209 + 0.995085i \(0.468429\pi\)
\(230\) −9.14842 + 5.33965i −0.603229 + 0.352086i
\(231\) 4.89771 + 27.7763i 0.322246 + 1.82755i
\(232\) −6.35483 3.66896i −0.417215 0.240879i
\(233\) −11.0358 + 6.37154i −0.722981 + 0.417413i −0.815849 0.578265i \(-0.803730\pi\)
0.0928677 + 0.995678i \(0.470397\pi\)
\(234\) −4.23907 + 3.55700i −0.277117 + 0.232528i
\(235\) 1.19109 6.94684i 0.0776982 0.453162i
\(236\) 0.559995 0.969940i 0.0364526 0.0631377i
\(237\) 1.48100 4.06902i 0.0962015 0.264312i
\(238\) 0.157903 0.433836i 0.0102354 0.0281214i
\(239\) −0.813870 4.61569i −0.0526449 0.298564i 0.947105 0.320924i \(-0.103993\pi\)
−0.999750 + 0.0223595i \(0.992882\pi\)
\(240\) 2.56430 + 2.13113i 0.165525 + 0.137564i
\(241\) 6.20570 + 5.20720i 0.399744 + 0.335425i 0.820395 0.571798i \(-0.193754\pi\)
−0.420651 + 0.907223i \(0.638198\pi\)
\(242\) −20.6832 + 3.64701i −1.32957 + 0.234438i
\(243\) −2.68369 + 7.37337i −0.172159 + 0.473002i
\(244\) −9.12777 3.32224i −0.584346 0.212685i
\(245\) 8.11615 + 4.63486i 0.518522 + 0.296110i
\(246\) 0.187342 1.06247i 0.0119445 0.0677407i
\(247\) 14.3793 + 17.1366i 0.914934 + 1.09038i
\(248\) 2.15873 1.24634i 0.137079 0.0791427i
\(249\) −8.93856 + 15.4820i −0.566458 + 0.981135i
\(250\) 2.09735 + 10.9819i 0.132648 + 0.694553i
\(251\) −13.2897 23.0184i −0.838838 1.45291i −0.890867 0.454265i \(-0.849902\pi\)
0.0520285 0.998646i \(-0.483431\pi\)
\(252\) 0.888027 + 2.43983i 0.0559404 + 0.153695i
\(253\) 26.7986i 1.68481i
\(254\) −9.45523 + 3.44142i −0.593274 + 0.215934i
\(255\) −0.453766 0.0778019i −0.0284159 0.00487214i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −9.29444 11.0767i −0.579771 0.690944i 0.393834 0.919181i \(-0.371148\pi\)
−0.973606 + 0.228237i \(0.926704\pi\)
\(258\) 16.9098i 1.05276i
\(259\) −19.4835 5.83483i −1.21065 0.362559i
\(260\) 15.9345 0.0753067i 0.988217 0.00467032i
\(261\) −4.36500 + 3.66267i −0.270187 + 0.226714i
\(262\) 8.69485 10.3621i 0.537170 0.640174i
\(263\) 1.45171 + 0.255976i 0.0895165 + 0.0157842i 0.218227 0.975898i \(-0.429973\pi\)
−0.128710 + 0.991682i \(0.541084\pi\)
\(264\) 7.92669 2.88508i 0.487854 0.177564i
\(265\) −11.4195 + 0.0539684i −0.701491 + 0.00331525i
\(266\) 9.86313 3.58988i 0.604747 0.220110i
\(267\) 8.56726 4.94631i 0.524308 0.302709i
\(268\) 11.1214 1.96100i 0.679347 0.119787i
\(269\) −6.84388 + 11.8539i −0.417279 + 0.722748i −0.995665 0.0930155i \(-0.970349\pi\)
0.578386 + 0.815763i \(0.303683\pi\)
\(270\) 10.8751 6.34745i 0.661837 0.386293i
\(271\) 3.33551 2.79883i 0.202618 0.170017i −0.535833 0.844324i \(-0.680002\pi\)
0.738451 + 0.674308i \(0.235558\pi\)
\(272\) −0.135980 0.0239769i −0.00824499 0.00145381i
\(273\) −30.7696 17.7649i −1.86226 1.07518i
\(274\) −17.4156 6.33877i −1.05212 0.382939i
\(275\) 26.6697 + 9.42248i 1.60824 + 0.568197i
\(276\) −1.22661 6.95648i −0.0738335 0.418731i
\(277\) −4.59741 + 5.47898i −0.276232 + 0.329200i −0.886267 0.463174i \(-0.846711\pi\)
0.610036 + 0.792374i \(0.291155\pi\)
\(278\) 2.15191 2.56454i 0.129063 0.153811i
\(279\) −0.336120 1.90623i −0.0201230 0.114123i
\(280\) 2.52390 7.03768i 0.150832 0.420582i
\(281\) −22.0861 8.03867i −1.31754 0.479547i −0.414874 0.909879i \(-0.636174\pi\)
−0.902671 + 0.430332i \(0.858397\pi\)
\(282\) 4.07043 + 2.35006i 0.242390 + 0.139944i
\(283\) −14.6716 2.58699i −0.872134 0.153781i −0.280370 0.959892i \(-0.590457\pi\)
−0.591764 + 0.806111i \(0.701568\pi\)
\(284\) −9.39674 + 7.88480i −0.557594 + 0.467877i
\(285\) −5.27616 9.03965i −0.312533 0.535463i
\(286\) 20.1567 34.9124i 1.19189 2.06442i
\(287\) −2.38242 + 0.420085i −0.140630 + 0.0247968i
\(288\) 0.672493 0.388264i 0.0396271 0.0228787i
\(289\) −15.9569 + 5.80782i −0.938639 + 0.341637i
\(290\) 16.4079 0.0775440i 0.963506 0.00455354i
\(291\) 5.60311 2.03937i 0.328460 0.119550i
\(292\) 1.48447 + 0.261753i 0.0868722 + 0.0153179i
\(293\) −11.8507 + 14.1231i −0.692325 + 0.825081i −0.991635 0.129075i \(-0.958799\pi\)
0.299309 + 0.954156i \(0.403244\pi\)
\(294\) −4.77447 + 4.00626i −0.278453 + 0.233650i
\(295\) 0.0118356 + 2.50435i 0.000689093 + 0.145809i
\(296\) −0.706693 + 6.04157i −0.0410757 + 0.351159i
\(297\) 31.8566i 1.84851i
\(298\) 4.35657 + 5.19196i 0.252370 + 0.300762i
\(299\) −25.8604 21.6994i −1.49554 1.25491i
\(300\) −7.35430 1.22520i −0.424600 0.0707372i
\(301\) 35.6308 12.9685i 2.05372 0.747495i
\(302\) 4.67402i 0.268959i
\(303\) 1.54523 + 4.24548i 0.0887710 + 0.243896i
\(304\) −1.56957 2.71858i −0.0900212 0.155921i
\(305\) 21.3722 3.87272i 1.22377 0.221751i
\(306\) −0.0536106 + 0.0928562i −0.00306471 + 0.00530824i
\(307\) −5.71031 + 3.29685i −0.325905 + 0.188161i −0.654021 0.756476i \(-0.726919\pi\)
0.328117 + 0.944637i \(0.393586\pi\)
\(308\) −12.1584 14.4898i −0.692787 0.825631i
\(309\) 0.929468 5.27128i 0.0528756 0.299872i
\(310\) −2.76406 + 4.84018i −0.156988 + 0.274903i
\(311\) −17.0333 6.19961i −0.965870 0.351548i −0.189539 0.981873i \(-0.560699\pi\)
−0.776331 + 0.630325i \(0.782922\pi\)
\(312\) −3.63435 + 9.98529i −0.205754 + 0.565306i
\(313\) 5.11718 0.902298i 0.289240 0.0510009i −0.0271454 0.999631i \(-0.508642\pi\)
0.316386 + 0.948631i \(0.397531\pi\)
\(314\) 0.771735 + 0.647562i 0.0435515 + 0.0365441i
\(315\) −4.46506 3.71081i −0.251578 0.209081i
\(316\) 0.504265 + 2.85983i 0.0283671 + 0.160878i
\(317\) −4.24029 + 11.6501i −0.238158 + 0.654335i 0.761820 + 0.647789i \(0.224306\pi\)
−0.999979 + 0.00654629i \(0.997916\pi\)
\(318\) 2.60455 7.15594i 0.146056 0.401285i
\(319\) 20.7555 35.9496i 1.16209 2.01279i
\(320\) −2.20391 0.377878i −0.123202 0.0211240i
\(321\) −4.17856 + 3.50623i −0.233224 + 0.195699i
\(322\) −13.7173 + 7.91971i −0.764437 + 0.441348i
\(323\) 0.375375 + 0.216723i 0.0208864 + 0.0120588i
\(324\) 1.05360 + 5.97524i 0.0585331 + 0.331958i
\(325\) −30.6877 + 18.1064i −1.70225 + 1.00436i
\(326\) 0.739404 0.269121i 0.0409518 0.0149052i
\(327\) 7.95071i 0.439675i
\(328\) 0.247458 + 0.679886i 0.0136636 + 0.0375404i
\(329\) 1.83013 10.3792i 0.100898 0.572222i
\(330\) −12.0559 + 14.5064i −0.663657 + 0.798550i
\(331\) −15.8033 + 13.2605i −0.868625 + 0.728863i −0.963808 0.266597i \(-0.914101\pi\)
0.0951829 + 0.995460i \(0.469656\pi\)
\(332\) 11.9890i 0.657980i
\(333\) 4.22083 + 2.12024i 0.231300 + 0.116189i
\(334\) 17.3691 0.950394
\(335\) −19.2671 + 16.3228i −1.05267 + 0.891809i
\(336\) 3.81933 + 3.20480i 0.208361 + 0.174836i
\(337\) −14.2335 2.50976i −0.775351 0.136715i −0.228048 0.973650i \(-0.573234\pi\)
−0.547303 + 0.836935i \(0.684345\pi\)
\(338\) 12.9225 + 35.5044i 0.702893 + 1.93118i
\(339\) −22.7054 −1.23319
\(340\) 0.289628 0.106969i 0.0157073 0.00580120i
\(341\) 7.05062 + 12.2120i 0.381812 + 0.661319i
\(342\) −2.40060 + 0.423291i −0.129810 + 0.0228890i
\(343\) −8.16634 4.71484i −0.440941 0.254577i
\(344\) −5.67012 9.82094i −0.305713 0.529510i
\(345\) 10.2100 + 12.0516i 0.549687 + 0.648839i
\(346\) −1.92681 + 10.9275i −0.103586 + 0.587465i
\(347\) 13.7528 + 7.94018i 0.738289 + 0.426251i 0.821447 0.570285i \(-0.193167\pi\)
−0.0831581 + 0.996536i \(0.526501\pi\)
\(348\) −3.74232 + 10.2819i −0.200609 + 0.551170i
\(349\) 7.76936 + 2.82781i 0.415884 + 0.151369i 0.541483 0.840712i \(-0.317863\pi\)
−0.125599 + 0.992081i \(0.540085\pi\)
\(350\) 3.05855 + 16.4359i 0.163487 + 0.878538i
\(351\) 30.7413 + 25.7950i 1.64085 + 1.37683i
\(352\) −3.63628 + 4.33356i −0.193815 + 0.230979i
\(353\) −16.0844 + 2.83612i −0.856088 + 0.150951i −0.584432 0.811443i \(-0.698683\pi\)
−0.271657 + 0.962394i \(0.587571\pi\)
\(354\) −1.56934 0.571192i −0.0834093 0.0303585i
\(355\) 9.25932 25.8188i 0.491434 1.37032i
\(356\) −3.31715 + 5.74548i −0.175809 + 0.304510i
\(357\) −0.677965 0.119544i −0.0358817 0.00632691i
\(358\) 0.262921 + 0.313337i 0.0138958 + 0.0165604i
\(359\) 8.50582 + 14.7325i 0.448920 + 0.777553i 0.998316 0.0580097i \(-0.0184754\pi\)
−0.549396 + 0.835562i \(0.685142\pi\)
\(360\) −0.861069 + 1.50783i −0.0453823 + 0.0794695i
\(361\) −1.58814 9.00681i −0.0835865 0.474042i
\(362\) 11.5365 6.66058i 0.606343 0.350072i
\(363\) 10.7111 + 29.4285i 0.562186 + 1.54459i
\(364\) 23.8274 1.24889
\(365\) −3.16183 + 1.16777i −0.165498 + 0.0611236i
\(366\) −2.51516 + 14.2642i −0.131469 + 0.745600i
\(367\) −2.09436 + 2.49596i −0.109324 + 0.130288i −0.817932 0.575315i \(-0.804879\pi\)
0.708607 + 0.705603i \(0.249324\pi\)
\(368\) 3.04502 + 3.62891i 0.158732 + 0.189170i
\(369\) 0.561833 0.0292479
\(370\) −5.44514 12.4640i −0.283079 0.647971i
\(371\) −17.0758 −0.886534
\(372\) −2.38919 2.84732i −0.123874 0.147627i
\(373\) 0.0108459 0.0129257i 0.000561581 0.000669266i −0.765764 0.643122i \(-0.777639\pi\)
0.766325 + 0.642453i \(0.222083\pi\)
\(374\) 0.135639 0.769245i 0.00701371 0.0397767i
\(375\) 15.5835 5.92347i 0.804730 0.305887i
\(376\) −3.15205 −0.162555
\(377\) 17.8848 + 49.1381i 0.921114 + 2.53074i
\(378\) 16.3063 9.41446i 0.838707 0.484228i
\(379\) 2.92880 + 16.6100i 0.150442 + 0.853200i 0.962835 + 0.270090i \(0.0870534\pi\)
−0.812393 + 0.583111i \(0.801835\pi\)
\(380\) 6.09545 + 3.48091i 0.312690 + 0.178567i
\(381\) 7.50191 + 12.9937i 0.384335 + 0.665687i
\(382\) 13.6080 + 16.2174i 0.696246 + 0.829753i
\(383\) 11.5857 + 2.04287i 0.592001 + 0.104386i 0.461619 0.887078i \(-0.347269\pi\)
0.130381 + 0.991464i \(0.458380\pi\)
\(384\) 0.745565 1.29136i 0.0380470 0.0658993i
\(385\) 39.8125 + 14.2779i 2.02903 + 0.727667i
\(386\) 21.7786 + 7.92677i 1.10850 + 0.403462i
\(387\) −8.67224 + 1.52915i −0.440835 + 0.0777311i
\(388\) −2.57037 + 3.06325i −0.130491 + 0.155513i
\(389\) 9.86642 + 8.27891i 0.500248 + 0.419758i 0.857682 0.514181i \(-0.171904\pi\)
−0.357434 + 0.933938i \(0.616348\pi\)
\(390\) −4.23655 23.3800i −0.214526 1.18389i
\(391\) −0.614654 0.223716i −0.0310844 0.0113138i
\(392\) 1.42958 3.92773i 0.0722045 0.198380i
\(393\) −17.4679 10.0851i −0.881139 0.508726i
\(394\) 3.01419 17.0943i 0.151853 0.861200i
\(395\) −4.19735 4.95447i −0.211192 0.249286i
\(396\) 2.19643 + 3.80433i 0.110375 + 0.191175i
\(397\) −20.8488 12.0370i −1.04637 0.604122i −0.124739 0.992190i \(-0.539809\pi\)
−0.921631 + 0.388068i \(0.873143\pi\)
\(398\) −20.8221 + 3.67149i −1.04372 + 0.184035i
\(399\) −7.82555 13.5542i −0.391767 0.678561i
\(400\) 4.68209 1.75443i 0.234104 0.0877217i
\(401\) −37.6805 −1.88168 −0.940838 0.338857i \(-0.889960\pi\)
−0.940838 + 0.338857i \(0.889960\pi\)
\(402\) −5.75937 15.8237i −0.287251 0.789217i
\(403\) −17.4935 3.08458i −0.871415 0.153654i
\(404\) −2.32102 1.94757i −0.115475 0.0968951i
\(405\) −8.76982 10.3517i −0.435776 0.514381i
\(406\) 24.5352 1.21766
\(407\) −34.1775 3.99780i −1.69412 0.198164i
\(408\) 0.205892i 0.0101932i
\(409\) 17.3019 14.5180i 0.855523 0.717869i −0.105476 0.994422i \(-0.533637\pi\)
0.960999 + 0.276553i \(0.0891921\pi\)
\(410\) −1.24424 1.03406i −0.0614485 0.0510685i
\(411\) −4.79888 + 27.2158i −0.236711 + 1.34246i
\(412\) 1.22772 + 3.37314i 0.0604856 + 0.166183i
\(413\) 3.74482i 0.184271i
\(414\) 3.45673 1.25815i 0.169889 0.0618345i
\(415\) 13.5136 + 23.1529i 0.663359 + 1.13653i
\(416\) −1.23745 7.01795i −0.0606712 0.344084i
\(417\) −4.32317 2.49599i −0.211707 0.122229i
\(418\) 15.3792 8.87917i 0.752220 0.434294i
\(419\) −19.6144 + 16.4585i −0.958228 + 0.804049i −0.980664 0.195699i \(-0.937302\pi\)
0.0224356 + 0.999748i \(0.492858\pi\)
\(420\) −10.9882 1.88401i −0.536169 0.0919305i
\(421\) 8.31845 14.4080i 0.405416 0.702202i −0.588954 0.808167i \(-0.700460\pi\)
0.994370 + 0.105965i \(0.0337933\pi\)
\(422\) −4.92951 + 13.5437i −0.239965 + 0.659297i
\(423\) −0.837149 + 2.30005i −0.0407036 + 0.111832i
\(424\) 0.886820 + 5.02940i 0.0430678 + 0.244249i
\(425\) −0.438754 + 0.533038i −0.0212827 + 0.0258562i
\(426\) 14.0118 + 11.7573i 0.678872 + 0.569642i
\(427\) 31.9851 5.63984i 1.54787 0.272931i
\(428\) 1.25115 3.43750i 0.0604765 0.166158i
\(429\) −56.4873 20.5597i −2.72723 0.992632i
\(430\) 22.0200 + 12.5749i 1.06190 + 0.606414i
\(431\) −1.34319 + 7.61758i −0.0646990 + 0.366926i 0.935218 + 0.354071i \(0.115203\pi\)
−0.999917 + 0.0128547i \(0.995908\pi\)
\(432\) −3.61973 4.31382i −0.174154 0.207549i
\(433\) 22.0535 12.7326i 1.05983 0.611891i 0.134442 0.990921i \(-0.457076\pi\)
0.925384 + 0.379031i \(0.123743\pi\)
\(434\) −4.16729 + 7.21796i −0.200036 + 0.346473i
\(435\) −4.36241 24.0746i −0.209162 1.15429i
\(436\) −2.66600 4.61764i −0.127678 0.221145i
\(437\) −5.08611 13.9740i −0.243302 0.668465i
\(438\) 2.24769i 0.107399i
\(439\) −15.6477 + 5.69531i −0.746826 + 0.271822i −0.687269 0.726403i \(-0.741191\pi\)
−0.0595563 + 0.998225i \(0.518969\pi\)
\(440\) 2.13768 12.4676i 0.101910 0.594371i
\(441\) −2.48638 2.08632i −0.118399 0.0993485i
\(442\) 0.632484 + 0.753765i 0.0300842 + 0.0358529i
\(443\) 2.22290i 0.105613i −0.998605 0.0528066i \(-0.983183\pi\)
0.998605 0.0528066i \(-0.0168167\pi\)
\(444\) 9.05490 0.526595i 0.429726 0.0249911i
\(445\) −0.0701084 14.8346i −0.00332346 0.703228i
\(446\) 0.0273475 0.0229473i 0.00129494 0.00108658i
\(447\) 6.49622 7.74190i 0.307261 0.366179i
\(448\) −3.29282 0.580614i −0.155571 0.0274314i
\(449\) −22.0146 + 8.01265i −1.03893 + 0.378140i −0.804475 0.593986i \(-0.797553\pi\)
−0.234457 + 0.972127i \(0.575331\pi\)
\(450\) −0.0366980 3.88247i −0.00172996 0.183021i
\(451\) −3.84615 + 1.39988i −0.181108 + 0.0659180i
\(452\) 13.1869 7.61347i 0.620260 0.358107i
\(453\) 6.86369 1.21025i 0.322484 0.0568627i
\(454\) −3.56289 + 6.17110i −0.167215 + 0.289624i
\(455\) −46.0151 + 26.8576i −2.15722 + 1.25910i
\(456\) −3.58576 + 3.00881i −0.167919 + 0.140901i
\(457\) 0.210195 + 0.0370631i 0.00983251 + 0.00173374i 0.178562 0.983929i \(-0.442855\pi\)
−0.168730 + 0.985662i \(0.553967\pi\)
\(458\) −6.48164 3.74218i −0.302867 0.174860i
\(459\) 0.730663 + 0.265940i 0.0341044 + 0.0124130i
\(460\) −9.97090 3.57584i −0.464896 0.166724i
\(461\) −2.16113 12.2564i −0.100654 0.570836i −0.992868 0.119223i \(-0.961960\pi\)
0.892214 0.451613i \(-0.149151\pi\)
\(462\) −18.1297 + 21.6061i −0.843470 + 1.00521i
\(463\) −13.1550 + 15.6775i −0.611364 + 0.728595i −0.979560 0.201153i \(-0.935531\pi\)
0.368196 + 0.929748i \(0.379976\pi\)
\(464\) −1.27422 7.22645i −0.0591541 0.335479i
\(465\) 7.82339 + 2.80568i 0.362801 + 0.130110i
\(466\) −11.9746 4.35839i −0.554712 0.201899i
\(467\) 15.5660 + 8.98704i 0.720309 + 0.415871i 0.814866 0.579649i \(-0.196810\pi\)
−0.0945573 + 0.995519i \(0.530144\pi\)
\(468\) −5.44964 0.960919i −0.251910 0.0444185i
\(469\) −28.9254 + 24.2713i −1.33565 + 1.12074i
\(470\) 6.08720 3.55291i 0.280782 0.163884i
\(471\) 0.751104 1.30095i 0.0346090 0.0599446i
\(472\) 1.10298 0.194484i 0.0507686 0.00895187i
\(473\) 55.5576 32.0762i 2.55454 1.47487i
\(474\) 4.06902 1.48100i 0.186896 0.0680248i
\(475\) −15.6950 + 0.148353i −0.720138 + 0.00680691i
\(476\) 0.433836 0.157903i 0.0198849 0.00723749i
\(477\) 3.90548 + 0.688641i 0.178819 + 0.0315307i
\(478\) 3.01268 3.59037i 0.137797 0.164220i
\(479\) 17.6053 14.7726i 0.804407 0.674978i −0.144859 0.989452i \(-0.546273\pi\)
0.949266 + 0.314475i \(0.101828\pi\)
\(480\) 0.0157576 + 3.33423i 0.000719233 + 0.152186i
\(481\) 31.5321 29.7438i 1.43774 1.35620i
\(482\) 8.10096i 0.368989i
\(483\) 15.1818 + 18.0929i 0.690794 + 0.823257i
\(484\) −16.0887 13.5000i −0.731303 0.613636i
\(485\) 1.51105 8.81295i 0.0686133 0.400175i
\(486\) −7.37337 + 2.68369i −0.334463 + 0.121735i
\(487\) 1.94363i 0.0880743i −0.999030 0.0440372i \(-0.985978\pi\)
0.999030 0.0440372i \(-0.0140220\pi\)
\(488\) −3.32224 9.12777i −0.150391 0.413195i
\(489\) −0.586654 1.01611i −0.0265294 0.0459503i
\(490\) 1.66645 + 9.19656i 0.0752827 + 0.415458i
\(491\) 5.05071 8.74808i 0.227935 0.394795i −0.729261 0.684236i \(-0.760136\pi\)
0.957196 + 0.289441i \(0.0934692\pi\)
\(492\) 0.934322 0.539431i 0.0421225 0.0243194i
\(493\) 0.651274 + 0.776158i 0.0293319 + 0.0349564i
\(494\) −3.88455 + 22.0304i −0.174774 + 0.991194i
\(495\) −8.52986 4.87111i −0.383389 0.218940i
\(496\) 2.34236 + 0.852548i 0.105175 + 0.0382805i
\(497\) 14.0279 38.5413i 0.629236 1.72881i
\(498\) −17.6055 + 3.10433i −0.788923 + 0.139108i
\(499\) −25.2719 21.2056i −1.13132 0.949294i −0.132204 0.991223i \(-0.542205\pi\)
−0.999121 + 0.0419285i \(0.986650\pi\)
\(500\) −7.06444 + 8.66566i −0.315931 + 0.387540i
\(501\) −4.49741 25.5061i −0.200930 1.13953i
\(502\) 9.09069 24.9765i 0.405737 1.11475i
\(503\) −6.91386 + 18.9957i −0.308274 + 0.846976i 0.684719 + 0.728807i \(0.259925\pi\)
−0.992993 + 0.118169i \(0.962297\pi\)
\(504\) −1.29821 + 2.24856i −0.0578268 + 0.100159i
\(505\) 6.67757 + 1.14492i 0.297148 + 0.0509484i
\(506\) −20.5289 + 17.2258i −0.912622 + 0.765781i
\(507\) 48.7913 28.1697i 2.16690 1.25106i
\(508\) −8.71399 5.03102i −0.386621 0.223216i
\(509\) −1.51799 8.60895i −0.0672837 0.381585i −0.999791 0.0204343i \(-0.993495\pi\)
0.932507 0.361151i \(-0.117616\pi\)
\(510\) −0.232076 0.397615i −0.0102765 0.0176067i
\(511\) −4.73613 + 1.72381i −0.209514 + 0.0762569i
\(512\) 1.00000i 0.0441942i
\(513\) 6.04605 + 16.6114i 0.266940 + 0.733411i
\(514\) 2.51088 14.2399i 0.110750 0.628095i
\(515\) −6.17308 5.13031i −0.272018 0.226068i
\(516\) −12.9537 + 10.8694i −0.570253 + 0.478499i
\(517\) 17.8313i 0.784222i
\(518\) −8.05402 18.6758i −0.353873 0.820567i
\(519\) 16.5457 0.726275
\(520\) 10.3002 + 12.1582i 0.451694 + 0.533170i
\(521\) 20.6943 + 17.3645i 0.906632 + 0.760755i 0.971475 0.237141i \(-0.0762103\pi\)
−0.0648433 + 0.997895i \(0.520655\pi\)
\(522\) −5.61154 0.989466i −0.245610 0.0433078i
\(523\) −5.40489 14.8498i −0.236339 0.649336i −0.999993 0.00371069i \(-0.998819\pi\)
0.763654 0.645626i \(-0.223403\pi\)
\(524\) 13.5268 0.590920
\(525\) 23.3439 8.74721i 1.01881 0.381760i
\(526\) 0.737054 + 1.27662i 0.0321371 + 0.0556631i
\(527\) −0.338954 + 0.0597668i −0.0147651 + 0.00260348i
\(528\) 7.30528 + 4.21770i 0.317921 + 0.183552i
\(529\) −0.279451 0.484024i −0.0121501 0.0210445i
\(530\) −7.38162 8.71312i −0.320637 0.378474i
\(531\) 0.151023 0.856492i 0.00655382 0.0371686i
\(532\) 9.08991 + 5.24806i 0.394097 + 0.227532i
\(533\) 1.76344 4.84501i 0.0763831 0.209861i
\(534\) 9.29603 + 3.38348i 0.402278 + 0.146417i
\(535\) 1.45846 + 8.04871i 0.0630547 + 0.347976i
\(536\) 8.65091 + 7.25897i 0.373662 + 0.313540i
\(537\) 0.392050 0.467227i 0.0169182 0.0201623i
\(538\) −13.4798 + 2.37685i −0.581156 + 0.102473i
\(539\) 22.2194 + 8.08719i 0.957056 + 0.348340i
\(540\) 11.8528 + 4.25074i 0.510063 + 0.182923i
\(541\) 10.8447 18.7835i 0.466249 0.807567i −0.533008 0.846110i \(-0.678938\pi\)
0.999257 + 0.0385432i \(0.0122717\pi\)
\(542\) 4.28805 + 0.756099i 0.184188 + 0.0324772i
\(543\) −12.7681 15.2164i −0.547930 0.652998i
\(544\) −0.0690388 0.119579i −0.00296001 0.00512689i
\(545\) 10.3534 + 5.91249i 0.443492 + 0.253263i
\(546\) −6.16967 34.9900i −0.264038 1.49743i
\(547\) 15.0366 8.68141i 0.642920 0.371190i −0.142818 0.989749i \(-0.545616\pi\)
0.785739 + 0.618559i \(0.212283\pi\)
\(548\) −6.33877 17.4156i −0.270779 0.743959i
\(549\) −7.54287 −0.321922
\(550\) 9.92492 + 26.4868i 0.423200 + 1.12940i
\(551\) −3.99996 + 22.6849i −0.170404 + 0.966409i
\(552\) 4.54052 5.41118i 0.193257 0.230315i
\(553\) −6.24127 7.43806i −0.265406 0.316299i
\(554\) −7.15230 −0.303872
\(555\) −16.8931 + 11.2234i −0.717073 + 0.476406i
\(556\) 3.34778 0.141977
\(557\) 15.6215 + 18.6169i 0.661903 + 0.788825i 0.987657 0.156629i \(-0.0500627\pi\)
−0.325754 + 0.945454i \(0.605618\pi\)
\(558\) 1.24420 1.48279i 0.0526714 0.0627713i
\(559\) −14.0330 + 79.5853i −0.593534 + 3.36610i
\(560\) 7.01351 2.59031i 0.296375 0.109461i
\(561\) −1.16474 −0.0491754
\(562\) −8.03867 22.0861i −0.339091 0.931645i
\(563\) −13.8213 + 7.97975i −0.582499 + 0.336306i −0.762126 0.647429i \(-0.775844\pi\)
0.179627 + 0.983735i \(0.442511\pi\)
\(564\) 0.816168 + 4.62872i 0.0343669 + 0.194904i
\(565\) −16.8847 + 29.5670i −0.710344 + 1.24389i
\(566\) −7.44895 12.9020i −0.313103 0.542310i
\(567\) −13.0403 15.5409i −0.547642 0.652655i
\(568\) −12.0802 2.13007i −0.506875 0.0893757i
\(569\) 11.2203 19.4342i 0.470380 0.814722i −0.529046 0.848593i \(-0.677450\pi\)
0.999426 + 0.0338710i \(0.0107835\pi\)
\(570\) 3.53332 9.85235i 0.147995 0.412670i
\(571\) 11.5205 + 4.19311i 0.482117 + 0.175476i 0.571634 0.820509i \(-0.306310\pi\)
−0.0895164 + 0.995985i \(0.528532\pi\)
\(572\) 39.7009 7.00035i 1.65998 0.292699i
\(573\) 20.2913 24.1822i 0.847682 1.01023i
\(574\) −1.85320 1.55502i −0.0773509 0.0649051i
\(575\) 23.2863 4.33332i 0.971104 0.180712i
\(576\) 0.729698 + 0.265588i 0.0304041 + 0.0110662i
\(577\) −7.13398 + 19.6004i −0.296991 + 0.815977i 0.698008 + 0.716090i \(0.254070\pi\)
−0.994999 + 0.0998864i \(0.968152\pi\)
\(578\) −14.7059 8.49047i −0.611686 0.353157i
\(579\) 6.00109 34.0339i 0.249397 1.41440i
\(580\) 10.6062 + 12.5194i 0.440399 + 0.519838i
\(581\) 20.0433 + 34.7160i 0.831536 + 1.44026i
\(582\) 5.16386 + 2.98135i 0.214049 + 0.123581i
\(583\) −28.4516 + 5.01679i −1.17835 + 0.207774i
\(584\) 0.753687 + 1.30542i 0.0311878 + 0.0540188i
\(585\) 11.6074 4.28698i 0.479907 0.177245i
\(586\) −18.4364 −0.761602
\(587\) 5.55602 + 15.2650i 0.229321 + 0.630056i 0.999974 0.00719995i \(-0.00229184\pi\)
−0.770653 + 0.637255i \(0.780070\pi\)
\(588\) −6.13794 1.08229i −0.253125 0.0446327i
\(589\) −5.99422 5.02975i −0.246988 0.207247i
\(590\) −1.91083 + 1.61883i −0.0786678 + 0.0666462i
\(591\) −25.8831 −1.06469
\(592\) −5.08237 + 3.34209i −0.208884 + 0.137359i
\(593\) 30.0756i 1.23505i 0.786549 + 0.617527i \(0.211866\pi\)
−0.786549 + 0.617527i \(0.788134\pi\)
\(594\) 24.4035 20.4770i 1.00129 0.840182i
\(595\) −0.659834 + 0.793950i −0.0270506 + 0.0325488i
\(596\) −1.17692 + 6.67466i −0.0482086 + 0.273405i
\(597\) 10.7830 + 29.6261i 0.441319 + 1.21251i
\(598\) 33.7583i 1.38048i
\(599\) 24.9359 9.07593i 1.01885 0.370833i 0.222027 0.975040i \(-0.428733\pi\)
0.796827 + 0.604208i \(0.206510\pi\)
\(600\) −3.78869 6.42126i −0.154673 0.262147i
\(601\) −3.10228 17.5939i −0.126544 0.717669i −0.980379 0.197124i \(-0.936840\pi\)
0.853834 0.520545i \(-0.174271\pi\)
\(602\) 32.8375 + 18.9587i 1.33836 + 0.772701i
\(603\) 7.59444 4.38465i 0.309269 0.178557i
\(604\) −3.58050 + 3.00440i −0.145689 + 0.122247i
\(605\) 46.2870 + 7.93629i 1.88184 + 0.322656i
\(606\) −2.25897 + 3.91265i −0.0917644 + 0.158941i
\(607\) 0.856994 2.35457i 0.0347843 0.0955691i −0.921085 0.389362i \(-0.872695\pi\)
0.955869 + 0.293793i \(0.0949177\pi\)
\(608\) 1.07365 2.94983i 0.0435423 0.119632i
\(609\) −6.35296 36.0295i −0.257435 1.45999i
\(610\) 16.7044 + 13.8827i 0.676343 + 0.562094i
\(611\) 17.2071 + 14.4384i 0.696123 + 0.584117i
\(612\) −0.105592 + 0.0186188i −0.00426831 + 0.000752618i
\(613\) −5.15650 + 14.1674i −0.208269 + 0.572214i −0.999213 0.0396746i \(-0.987368\pi\)
0.790944 + 0.611889i \(0.209590\pi\)
\(614\) −6.19605 2.25518i −0.250052 0.0910116i
\(615\) −1.19632 + 2.09488i −0.0482402 + 0.0844739i
\(616\) 3.28456 18.6277i 0.132339 0.750531i
\(617\) −13.4625 16.0440i −0.541979 0.645906i 0.423651 0.905826i \(-0.360748\pi\)
−0.965630 + 0.259920i \(0.916304\pi\)
\(618\) 4.63548 2.67630i 0.186466 0.107656i
\(619\) −8.92145 + 15.4524i −0.358583 + 0.621085i −0.987724 0.156206i \(-0.950073\pi\)
0.629141 + 0.777291i \(0.283407\pi\)
\(620\) −5.48449 + 0.993812i −0.220263 + 0.0399125i
\(621\) −13.3383 23.1026i −0.535248 0.927076i
\(622\) −6.19961 17.0333i −0.248582 0.682973i
\(623\) 22.1826i 0.888728i
\(624\) −9.98529 + 3.63435i −0.399731 + 0.145490i
\(625\) 3.87504 24.6979i 0.155002 0.987914i
\(626\) 3.98046 + 3.34001i 0.159091 + 0.133493i
\(627\) −17.0210 20.2849i −0.679754 0.810099i
\(628\) 1.00743i 0.0402008i
\(629\) 0.377009 0.750523i 0.0150323 0.0299253i
\(630\) −0.0274378 5.80570i −0.00109315 0.231305i
\(631\) 24.8139 20.8214i 0.987828 0.828886i 0.00257581 0.999997i \(-0.499180\pi\)
0.985252 + 0.171111i \(0.0547356\pi\)
\(632\) −1.86662 + 2.22455i −0.0742502 + 0.0884879i
\(633\) 21.1650 + 3.73197i 0.841235 + 0.148332i
\(634\) −11.6501 + 4.24029i −0.462685 + 0.168403i
\(635\) 22.4992 0.106331i 0.892852 0.00421963i
\(636\) 7.15594 2.60455i 0.283752 0.103277i
\(637\) −25.7956 + 14.8931i −1.02206 + 0.590086i
\(638\) 40.8804 7.20832i 1.61847 0.285380i
\(639\) −4.76267 + 8.24919i −0.188408 + 0.326333i
\(640\) −1.12717 1.93119i −0.0445554 0.0763368i
\(641\) 23.5043 19.7225i 0.928364 0.778990i −0.0471587 0.998887i \(-0.515017\pi\)
0.975523 + 0.219897i \(0.0705722\pi\)
\(642\) −5.37185 0.947203i −0.212010 0.0373831i
\(643\) −30.7826 17.7723i −1.21395 0.700872i −0.250330 0.968161i \(-0.580539\pi\)
−0.963617 + 0.267289i \(0.913872\pi\)
\(644\) −14.8842 5.41740i −0.586519 0.213475i
\(645\) 12.7642 35.5919i 0.502591 1.40143i
\(646\) 0.0752671 + 0.426861i 0.00296134 + 0.0167946i
\(647\) 11.3726 13.5534i 0.447104 0.532838i −0.494672 0.869080i \(-0.664712\pi\)
0.941775 + 0.336242i \(0.109156\pi\)
\(648\) −3.90006 + 4.64791i −0.153209 + 0.182587i
\(649\) 1.10021 + 6.23959i 0.0431870 + 0.244925i
\(650\) −33.5960 11.8695i −1.31774 0.465562i
\(651\) 11.6785 + 4.25061i 0.457715 + 0.166595i
\(652\) 0.681439 + 0.393429i 0.0266872 + 0.0154079i
\(653\) 22.2014 + 3.91471i 0.868810 + 0.153195i 0.590246 0.807223i \(-0.299031\pi\)
0.278564 + 0.960418i \(0.410142\pi\)
\(654\) −6.09059 + 5.11062i −0.238161 + 0.199841i
\(655\) −26.1227 + 15.2470i −1.02070 + 0.595751i
\(656\) −0.361760 + 0.626586i −0.0141243 + 0.0244641i
\(657\) 1.15274 0.203258i 0.0449725 0.00792986i
\(658\) 9.12728 5.26964i 0.355818 0.205432i
\(659\) −0.951109 + 0.346176i −0.0370500 + 0.0134851i −0.360479 0.932767i \(-0.617387\pi\)
0.323429 + 0.946253i \(0.395164\pi\)
\(660\) −18.8619 + 0.0891417i −0.734200 + 0.00346983i
\(661\) −44.5422 + 16.2120i −1.73249 + 0.630575i −0.998803 0.0489115i \(-0.984425\pi\)
−0.733688 + 0.679487i \(0.762203\pi\)
\(662\) −20.3163 3.58231i −0.789614 0.139230i
\(663\) 0.943116 1.12396i 0.0366276 0.0436511i
\(664\) 9.18408 7.70636i 0.356412 0.299065i
\(665\) −23.4698 + 0.110918i −0.910119 + 0.00430123i
\(666\) 1.08890 + 4.59621i 0.0421940 + 0.178100i
\(667\) 34.7613i 1.34596i
\(668\) 11.1646 + 13.3055i 0.431972 + 0.514805i
\(669\) −0.0407787 0.0342174i −0.00157659 0.00132292i
\(670\) −24.8886 4.26736i −0.961532 0.164862i
\(671\) 51.6363 18.7941i 1.99340 0.725538i
\(672\) 4.98578i 0.192331i
\(673\) 14.0556 + 38.6174i 0.541803 + 1.48859i 0.844527 + 0.535513i \(0.179882\pi\)
−0.302724 + 0.953078i \(0.597896\pi\)
\(674\) −7.22656 12.5168i −0.278357 0.482128i
\(675\) −27.6813 + 5.15119i −1.06545 + 0.198269i
\(676\) −18.8915 + 32.7210i −0.726596 + 1.25850i
\(677\) −4.53682 + 2.61934i −0.174364 + 0.100669i −0.584642 0.811291i \(-0.698765\pi\)
0.410278 + 0.911961i \(0.365432\pi\)
\(678\) −14.5947 17.3933i −0.560507 0.667986i
\(679\) 2.32175 13.1673i 0.0891005 0.505314i
\(680\) 0.268113 + 0.153110i 0.0102816 + 0.00587150i
\(681\) 9.98467 + 3.63412i 0.382614 + 0.139260i
\(682\) −4.82291 + 13.2508i −0.184679 + 0.507401i
\(683\) −7.74707 + 1.36602i −0.296434 + 0.0522692i −0.319887 0.947456i \(-0.603645\pi\)
0.0234535 + 0.999725i \(0.492534\pi\)
\(684\) −1.86734 1.56688i −0.0713995 0.0599113i
\(685\) 31.8718 + 26.4879i 1.21776 + 1.01205i
\(686\) −1.63745 9.28641i −0.0625180 0.354557i
\(687\) −3.81700 + 10.4871i −0.145628 + 0.400108i
\(688\) 3.87859 10.6563i 0.147870 0.406269i
\(689\) 18.1968 31.5177i 0.693242 1.20073i
\(690\) −2.66925 + 15.5679i −0.101617 + 0.592661i
\(691\) −25.0725 + 21.0383i −0.953802 + 0.800335i −0.979934 0.199324i \(-0.936125\pi\)
0.0261319 + 0.999659i \(0.491681\pi\)
\(692\) −9.60947 + 5.54803i −0.365297 + 0.210904i
\(693\) −12.7202 7.34404i −0.483202 0.278977i
\(694\) 2.75760 + 15.6391i 0.104677 + 0.593652i
\(695\) −6.46518 + 3.77352i −0.245238 + 0.143138i
\(696\) −10.2819 + 3.74232i −0.389736 + 0.141852i
\(697\) 0.0999018i 0.00378405i
\(698\) 2.82781 + 7.76936i 0.107034 + 0.294075i
\(699\) −3.29959 + 18.7129i −0.124802 + 0.707788i
\(700\) −10.6247 + 12.9078i −0.401575 + 0.487869i
\(701\) −8.61383 + 7.22786i −0.325340 + 0.272993i −0.790798 0.612077i \(-0.790334\pi\)
0.465458 + 0.885070i \(0.345890\pi\)
\(702\) 40.1299i 1.51460i
\(703\) 18.5804 4.40192i 0.700772 0.166021i
\(704\) −5.65705 −0.213208
\(705\) −6.79354 8.01896i −0.255860 0.302011i
\(706\) −12.5115 10.4984i −0.470876 0.395112i
\(707\) 9.97685 + 1.75919i 0.375218 + 0.0661611i
\(708\) −0.571192 1.56934i −0.0214667 0.0589793i
\(709\) 40.3433 1.51512 0.757562 0.652764i \(-0.226390\pi\)
0.757562 + 0.652764i \(0.226390\pi\)
\(710\) 25.7301 9.50294i 0.965633 0.356639i
\(711\) 1.12750 + 1.95289i 0.0422845 + 0.0732389i
\(712\) −6.53352 + 1.15204i −0.244854 + 0.0431744i
\(713\) 10.2263 + 5.90417i 0.382979 + 0.221113i
\(714\) −0.344212 0.596192i −0.0128818 0.0223119i
\(715\) −68.7793 + 58.2688i −2.57220 + 2.17913i
\(716\) −0.0710278 + 0.402818i −0.00265443 + 0.0150540i
\(717\) −6.05245 3.49438i −0.226033 0.130500i
\(718\) −5.81833 + 15.9857i −0.217138 + 0.596582i
\(719\) −8.23089 2.99580i −0.306961 0.111725i 0.183947 0.982936i \(-0.441113\pi\)
−0.490908 + 0.871212i \(0.663335\pi\)
\(720\) −1.70855 + 0.309596i −0.0636738 + 0.0115379i
\(721\) −9.19432 7.71495i −0.342414 0.287320i
\(722\) 5.87878 7.00605i 0.218785 0.260738i
\(723\) 11.8961 2.09760i 0.442420 0.0780105i
\(724\) 12.5178 + 4.55610i 0.465220 + 0.169326i
\(725\) −34.5940 12.2222i −1.28479 0.453920i
\(726\) −15.6586 + 27.1214i −0.581144 + 1.00657i
\(727\) 34.5223 + 6.08722i 1.28036 + 0.225762i 0.772134 0.635460i \(-0.219189\pi\)
0.508229 + 0.861222i \(0.330300\pi\)
\(728\) 15.3159 + 18.2528i 0.567646 + 0.676495i
\(729\) 14.9513 + 25.8964i 0.553751 + 0.959124i
\(730\) −2.92695 1.67148i −0.108331 0.0618643i
\(731\) 0.271904 + 1.54204i 0.0100567 + 0.0570346i
\(732\) −12.5437 + 7.24211i −0.463628 + 0.267676i
\(733\) −15.6867 43.0988i −0.579401 1.59189i −0.789194 0.614144i \(-0.789501\pi\)
0.209793 0.977746i \(-0.432721\pi\)
\(734\) −3.25824 −0.120264
\(735\) 13.0734 4.82843i 0.482221 0.178099i
\(736\) −0.822607 + 4.66523i −0.0303217 + 0.171963i
\(737\) −41.0644 + 48.9386i −1.51263 + 1.80268i
\(738\) 0.361140 + 0.430389i 0.0132937 + 0.0158428i
\(739\) 30.1300 1.10835 0.554176 0.832400i \(-0.313033\pi\)
0.554176 + 0.832400i \(0.313033\pi\)
\(740\) 6.04788 12.1829i 0.222325 0.447852i
\(741\) 33.3570 1.22540
\(742\) −10.9761 13.0809i −0.402947 0.480213i
\(743\) 1.75996 2.09744i 0.0645667 0.0769476i −0.732794 0.680450i \(-0.761784\pi\)
0.797361 + 0.603503i \(0.206229\pi\)
\(744\) 0.645436 3.66045i 0.0236628 0.134199i
\(745\) −5.25064 14.2166i −0.192369 0.520856i
\(746\) 0.0168733 0.000617774
\(747\) −3.18413 8.74833i −0.116501 0.320085i
\(748\) 0.676463 0.390556i 0.0247339 0.0142801i
\(749\) 2.12395 + 12.0455i 0.0776074 + 0.440134i
\(750\) 14.5545 + 8.13015i 0.531457 + 0.296871i
\(751\) −2.41852 4.18900i −0.0882530 0.152859i 0.818520 0.574478i \(-0.194795\pi\)
−0.906773 + 0.421620i \(0.861462\pi\)
\(752\) −2.02610 2.41461i −0.0738843 0.0880519i
\(753\) −39.0312 6.88226i −1.42238 0.250803i
\(754\) −26.1458 + 45.2859i −0.952175 + 1.64922i
\(755\) 3.52814 9.83790i 0.128402 0.358038i
\(756\) 17.6934 + 6.43987i 0.643503 + 0.234216i
\(757\) −4.91644 + 0.866900i −0.178691 + 0.0315080i −0.262278 0.964992i \(-0.584474\pi\)
0.0835866 + 0.996501i \(0.473362\pi\)
\(758\) −10.8414 + 12.9203i −0.393779 + 0.469287i
\(759\) 30.6113 + 25.6860i 1.11112 + 0.932341i
\(760\) 1.25155 + 6.90687i 0.0453986 + 0.250539i
\(761\) −5.83843 2.12501i −0.211643 0.0770317i 0.234023 0.972231i \(-0.424811\pi\)
−0.445666 + 0.895199i \(0.647033\pi\)
\(762\) −5.13161 + 14.0990i −0.185899 + 0.510752i
\(763\) 15.4397 + 8.91409i 0.558953 + 0.322712i
\(764\) −3.67618 + 20.8487i −0.133000 + 0.754278i
\(765\) 0.182932 0.154977i 0.00661391 0.00560320i
\(766\) 5.88220 + 10.1883i 0.212533 + 0.368117i
\(767\) −6.91201 3.99065i −0.249578 0.144094i
\(768\) 1.46848 0.258932i 0.0529891 0.00934341i
\(769\) 18.0218 + 31.2147i 0.649883 + 1.12563i 0.983150 + 0.182798i \(0.0585156\pi\)
−0.333267 + 0.942832i \(0.608151\pi\)
\(770\) 14.6535 + 39.6758i 0.528076 + 1.42982i
\(771\) −21.5611 −0.776505
\(772\) 7.92677 + 21.7786i 0.285291 + 0.783829i
\(773\) −6.47064 1.14095i −0.232733 0.0410371i 0.0560653 0.998427i \(-0.482145\pi\)
−0.288798 +