Properties

Label 552.2.t.a.451.4
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.4
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29729 + 0.563056i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.36593 - 1.46090i) q^{4} +(0.355055 + 2.46946i) q^{5} +(-1.27508 - 0.611705i) q^{6} +(-0.661764 + 1.44906i) q^{7} +(-0.949449 + 2.66431i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-1.29729 + 0.563056i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.36593 - 1.46090i) q^{4} +(0.355055 + 2.46946i) q^{5} +(-1.27508 - 0.611705i) q^{6} +(-0.661764 + 1.44906i) q^{7} +(-0.949449 + 2.66431i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-1.85106 - 3.00370i) q^{10} +(-0.328891 + 1.12010i) q^{11} +(1.99857 + 0.0756203i) q^{12} +(-3.21886 + 1.47000i) q^{13} +(0.0425983 - 2.25246i) q^{14} +(-1.63378 + 1.88549i) q^{15} +(-0.268443 - 3.99098i) q^{16} +(-0.248908 + 0.387309i) q^{17} +(-0.372701 - 1.36422i) q^{18} +(-3.28099 - 5.10531i) q^{19} +(4.09261 + 2.85442i) q^{20} +(-1.52849 + 0.448805i) q^{21} +(-0.204012 - 1.63828i) q^{22} +(4.16216 + 2.38252i) q^{23} +(-2.63531 + 1.02721i) q^{24} +(-1.17471 + 0.344926i) q^{25} +(3.34810 - 3.71942i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(1.21300 + 2.94609i) q^{28} +(-3.40681 + 5.30111i) q^{29} +(1.05786 - 3.36594i) q^{30} +(-0.449612 - 0.389591i) q^{31} +(2.59540 + 5.02632i) q^{32} +(-1.06189 + 0.484951i) q^{33} +(0.104830 - 0.642602i) q^{34} +(-3.81336 - 1.11970i) q^{35} +(1.25163 + 1.55994i) q^{36} +(0.0548572 - 0.381540i) q^{37} +(7.13098 + 4.77570i) q^{38} +(-3.21886 - 1.47000i) q^{39} +(-6.91652 - 1.39865i) q^{40} +(-0.738033 - 5.13313i) q^{41} +(1.73020 - 1.44286i) q^{42} +(2.16580 - 1.87668i) q^{43} +(1.18711 + 2.01046i) q^{44} -2.49486 q^{45} +(-6.74104 - 0.747291i) q^{46} +0.152392i q^{47} +(2.84039 - 2.81641i) q^{48} +(2.92218 + 3.37238i) q^{49} +(1.32973 - 1.10890i) q^{50} +(-0.455709 + 0.0655210i) q^{51} +(-2.24922 + 6.71035i) q^{52} +(-3.00967 + 6.59027i) q^{53} +(0.786941 - 1.17504i) q^{54} +(-2.88282 - 0.414487i) q^{55} +(-3.23243 - 3.13895i) q^{56} +(1.70975 - 5.82287i) q^{57} +(1.43481 - 8.79531i) q^{58} +(0.844965 + 1.85022i) q^{59} +(0.522861 + 4.96224i) q^{60} +(-6.17484 + 7.12615i) q^{61} +(0.802641 + 0.252257i) q^{62} +(-1.34013 - 0.861251i) q^{63} +(-6.19709 - 5.05925i) q^{64} +(-4.77298 - 7.42691i) q^{65} +(1.10453 - 1.22703i) q^{66} +(0.430258 + 1.46532i) q^{67} +(0.225826 + 0.892668i) q^{68} +(0.925049 + 4.70577i) q^{69} +(5.57750 - 0.694554i) q^{70} +(-0.422371 - 1.43846i) q^{71} +(-2.50207 - 1.31896i) q^{72} +(-9.07676 + 5.83328i) q^{73} +(0.143663 + 0.525857i) q^{74} +(-1.02995 - 0.661908i) q^{75} +(-11.9400 - 2.18034i) q^{76} +(-1.40545 - 1.21783i) q^{77} +(5.00349 + 0.0946252i) q^{78} +(-3.40708 - 7.46047i) q^{79} +(9.76026 - 2.07993i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(3.84769 + 6.24362i) q^{82} +(4.37321 + 0.628773i) q^{83} +(-1.43216 + 2.84601i) q^{84} +(-1.04482 - 0.477153i) q^{85} +(-1.75300 + 3.65406i) q^{86} +(-6.23730 + 0.896788i) q^{87} +(-2.67203 - 1.93975i) q^{88} +(-2.04054 + 1.76814i) q^{89} +(3.23656 - 1.40474i) q^{90} -5.63711i q^{91} +(9.16586 - 2.82613i) q^{92} -0.594922i q^{93} +(-0.0858055 - 0.197698i) q^{94} +(11.4424 - 9.91493i) q^{95} +(-2.09902 + 5.25301i) q^{96} +(10.0554 - 1.44575i) q^{97} +(-5.68976 - 2.72961i) q^{98} +(-1.06189 - 0.484951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29729 + 0.563056i −0.917324 + 0.398141i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) 1.36593 1.46090i 0.682967 0.730449i
\(5\) 0.355055 + 2.46946i 0.158785 + 1.10438i 0.900876 + 0.434077i \(0.142925\pi\)
−0.742090 + 0.670300i \(0.766166\pi\)
\(6\) −1.27508 0.611705i −0.520547 0.249727i
\(7\) −0.661764 + 1.44906i −0.250123 + 0.547693i −0.992494 0.122296i \(-0.960974\pi\)
0.742370 + 0.669990i \(0.233701\pi\)
\(8\) −0.949449 + 2.66431i −0.335681 + 0.941976i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) −1.85106 3.00370i −0.585355 0.949852i
\(11\) −0.328891 + 1.12010i −0.0991645 + 0.337723i −0.994099 0.108474i \(-0.965404\pi\)
0.894935 + 0.446197i \(0.147222\pi\)
\(12\) 1.99857 + 0.0756203i 0.576937 + 0.0218297i
\(13\) −3.21886 + 1.47000i −0.892750 + 0.407705i −0.808333 0.588725i \(-0.799630\pi\)
−0.0844167 + 0.996431i \(0.526903\pi\)
\(14\) 0.0425983 2.25246i 0.0113849 0.601997i
\(15\) −1.63378 + 1.88549i −0.421841 + 0.486830i
\(16\) −0.268443 3.99098i −0.0671108 0.997746i
\(17\) −0.248908 + 0.387309i −0.0603691 + 0.0939362i −0.870126 0.492829i \(-0.835963\pi\)
0.809757 + 0.586766i \(0.199599\pi\)
\(18\) −0.372701 1.36422i −0.0878466 0.321550i
\(19\) −3.28099 5.10531i −0.752710 1.17124i −0.980306 0.197484i \(-0.936723\pi\)
0.227597 0.973756i \(-0.426913\pi\)
\(20\) 4.09261 + 2.85442i 0.915136 + 0.638269i
\(21\) −1.52849 + 0.448805i −0.333544 + 0.0979373i
\(22\) −0.204012 1.63828i −0.0434955 0.349283i
\(23\) 4.16216 + 2.38252i 0.867871 + 0.496790i
\(24\) −2.63531 + 1.02721i −0.537930 + 0.209678i
\(25\) −1.17471 + 0.344926i −0.234942 + 0.0689851i
\(26\) 3.34810 3.71942i 0.656617 0.729438i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 1.21300 + 2.94609i 0.229236 + 0.556759i
\(29\) −3.40681 + 5.30111i −0.632629 + 0.984391i 0.365925 + 0.930644i \(0.380753\pi\)
−0.998555 + 0.0537464i \(0.982884\pi\)
\(30\) 1.05786 3.36594i 0.193138 0.614533i
\(31\) −0.449612 0.389591i −0.0807528 0.0699727i 0.613549 0.789657i \(-0.289741\pi\)
−0.694302 + 0.719684i \(0.744287\pi\)
\(32\) 2.59540 + 5.02632i 0.458806 + 0.888537i
\(33\) −1.06189 + 0.484951i −0.184852 + 0.0844191i
\(34\) 0.104830 0.642602i 0.0179782 0.110205i
\(35\) −3.81336 1.11970i −0.644576 0.189264i
\(36\) 1.25163 + 1.55994i 0.208606 + 0.259990i
\(37\) 0.0548572 0.381540i 0.00901847 0.0627248i −0.984815 0.173606i \(-0.944458\pi\)
0.993834 + 0.110881i \(0.0353672\pi\)
\(38\) 7.13098 + 4.77570i 1.15680 + 0.774721i
\(39\) −3.21886 1.47000i −0.515429 0.235389i
\(40\) −6.91652 1.39865i −1.09360 0.221146i
\(41\) −0.738033 5.13313i −0.115261 0.801661i −0.962662 0.270707i \(-0.912743\pi\)
0.847400 0.530954i \(-0.178166\pi\)
\(42\) 1.73020 1.44286i 0.266975 0.222638i
\(43\) 2.16580 1.87668i 0.330281 0.286190i −0.473895 0.880581i \(-0.657152\pi\)
0.804176 + 0.594391i \(0.202607\pi\)
\(44\) 1.18711 + 2.01046i 0.178963 + 0.303088i
\(45\) −2.49486 −0.371911
\(46\) −6.74104 0.747291i −0.993911 0.110182i
\(47\) 0.152392i 0.0222287i 0.999938 + 0.0111144i \(0.00353788\pi\)
−0.999938 + 0.0111144i \(0.996462\pi\)
\(48\) 2.84039 2.81641i 0.409975 0.406514i
\(49\) 2.92218 + 3.37238i 0.417454 + 0.481768i
\(50\) 1.32973 1.10890i 0.188052 0.156822i
\(51\) −0.455709 + 0.0655210i −0.0638120 + 0.00917478i
\(52\) −2.24922 + 6.71035i −0.311911 + 0.930557i
\(53\) −3.00967 + 6.59027i −0.413410 + 0.905243i 0.582322 + 0.812958i \(0.302144\pi\)
−0.995733 + 0.0922845i \(0.970583\pi\)
\(54\) 0.786941 1.17504i 0.107089 0.159903i
\(55\) −2.88282 0.414487i −0.388719 0.0558894i
\(56\) −3.23243 3.13895i −0.431952 0.419460i
\(57\) 1.70975 5.82287i 0.226462 0.771258i
\(58\) 1.43481 8.79531i 0.188400 1.15488i
\(59\) 0.844965 + 1.85022i 0.110005 + 0.240878i 0.956626 0.291319i \(-0.0940941\pi\)
−0.846621 + 0.532196i \(0.821367\pi\)
\(60\) 0.522861 + 4.96224i 0.0675010 + 0.640622i
\(61\) −6.17484 + 7.12615i −0.790608 + 0.912410i −0.997827 0.0658847i \(-0.979013\pi\)
0.207220 + 0.978294i \(0.433558\pi\)
\(62\) 0.802641 + 0.252257i 0.101935 + 0.0320366i
\(63\) −1.34013 0.861251i −0.168841 0.108507i
\(64\) −6.19709 5.05925i −0.774637 0.632407i
\(65\) −4.77298 7.42691i −0.592016 0.921194i
\(66\) 1.10453 1.22703i 0.135959 0.151037i
\(67\) 0.430258 + 1.46532i 0.0525643 + 0.179018i 0.981591 0.190995i \(-0.0611715\pi\)
−0.929027 + 0.370013i \(0.879353\pi\)
\(68\) 0.225826 + 0.892668i 0.0273854 + 0.108252i
\(69\) 0.925049 + 4.70577i 0.111363 + 0.566508i
\(70\) 5.57750 0.694554i 0.666639 0.0830151i
\(71\) −0.422371 1.43846i −0.0501262 0.170714i 0.930626 0.365973i \(-0.119264\pi\)
−0.980752 + 0.195258i \(0.937445\pi\)
\(72\) −2.50207 1.31896i −0.294872 0.155440i
\(73\) −9.07676 + 5.83328i −1.06235 + 0.682733i −0.950416 0.310982i \(-0.899342\pi\)
−0.111938 + 0.993715i \(0.535706\pi\)
\(74\) 0.143663 + 0.525857i 0.0167005 + 0.0611296i
\(75\) −1.02995 0.661908i −0.118928 0.0764305i
\(76\) −11.9400 2.18034i −1.36961 0.250102i
\(77\) −1.40545 1.21783i −0.160165 0.138784i
\(78\) 5.00349 + 0.0946252i 0.566534 + 0.0107142i
\(79\) −3.40708 7.46047i −0.383327 0.839369i −0.998692 0.0511267i \(-0.983719\pi\)
0.615365 0.788242i \(-0.289009\pi\)
\(80\) 9.76026 2.07993i 1.09123 0.232543i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 3.84769 + 6.24362i 0.424906 + 0.689493i
\(83\) 4.37321 + 0.628773i 0.480022 + 0.0690168i 0.378079 0.925773i \(-0.376585\pi\)
0.101944 + 0.994790i \(0.467494\pi\)
\(84\) −1.43216 + 2.84601i −0.156261 + 0.310525i
\(85\) −1.04482 0.477153i −0.113327 0.0517545i
\(86\) −1.75300 + 3.65406i −0.189031 + 0.394028i
\(87\) −6.23730 + 0.896788i −0.668708 + 0.0961458i
\(88\) −2.67203 1.93975i −0.284839 0.206778i
\(89\) −2.04054 + 1.76814i −0.216297 + 0.187423i −0.756270 0.654260i \(-0.772980\pi\)
0.539972 + 0.841683i \(0.318435\pi\)
\(90\) 3.23656 1.40474i 0.341163 0.148073i
\(91\) 5.63711i 0.590930i
\(92\) 9.16586 2.82613i 0.955607 0.294644i
\(93\) 0.594922i 0.0616906i
\(94\) −0.0858055 0.197698i −0.00885017 0.0203909i
\(95\) 11.4424 9.91493i 1.17397 1.01725i
\(96\) −2.09902 + 5.25301i −0.214230 + 0.536133i
\(97\) 10.0554 1.44575i 1.02097 0.146794i 0.388559 0.921424i \(-0.372973\pi\)
0.632414 + 0.774630i \(0.282064\pi\)
\(98\) −5.68976 2.72961i −0.574753 0.275732i
\(99\) −1.06189 0.484951i −0.106724 0.0487394i
\(100\) −1.10068 + 2.18728i −0.110068 + 0.218728i
\(101\) −9.63045 1.38465i −0.958266 0.137778i −0.354603 0.935017i \(-0.615384\pi\)
−0.603663 + 0.797239i \(0.706293\pi\)
\(102\) 0.554295 0.341590i 0.0548834 0.0338224i
\(103\) 13.5263 + 3.97169i 1.33279 + 0.391342i 0.869091 0.494652i \(-0.164704\pi\)
0.463697 + 0.885994i \(0.346523\pi\)
\(104\) −0.860401 9.97172i −0.0843692 0.977808i
\(105\) −1.65100 3.61520i −0.161122 0.352807i
\(106\) 0.193735 10.2441i 0.0188172 0.994997i
\(107\) 13.4928 + 11.6916i 1.30440 + 1.13027i 0.983056 + 0.183308i \(0.0586806\pi\)
0.321346 + 0.946962i \(0.395865\pi\)
\(108\) −0.359277 + 1.96747i −0.0345714 + 0.189319i
\(109\) 14.7043 + 9.44990i 1.40842 + 0.905136i 0.999971 0.00764466i \(-0.00243340\pi\)
0.408449 + 0.912781i \(0.366070\pi\)
\(110\) 3.97324 1.08548i 0.378834 0.103496i
\(111\) 0.324273 0.208397i 0.0307786 0.0197802i
\(112\) 5.96082 + 2.25210i 0.563244 + 0.212803i
\(113\) 0.223923 + 0.762610i 0.0210649 + 0.0717403i 0.969355 0.245665i \(-0.0790065\pi\)
−0.948290 + 0.317406i \(0.897188\pi\)
\(114\) 1.06056 + 8.51665i 0.0993306 + 0.797658i
\(115\) −4.40574 + 11.1242i −0.410838 + 1.03734i
\(116\) 3.09089 + 12.2180i 0.286982 + 1.13441i
\(117\) −0.996949 3.39530i −0.0921679 0.313895i
\(118\) −2.13794 1.92451i −0.196814 0.177165i
\(119\) −0.396515 0.616990i −0.0363485 0.0565594i
\(120\) −3.47232 6.14308i −0.316978 0.560784i
\(121\) 8.10733 + 5.21027i 0.737030 + 0.473661i
\(122\) 3.99815 12.7215i 0.361976 1.15175i
\(123\) 3.39605 3.91926i 0.306212 0.353387i
\(124\) −1.18329 + 0.124681i −0.106263 + 0.0111967i
\(125\) 3.91313 + 8.56857i 0.350001 + 0.766396i
\(126\) 2.22348 + 0.362724i 0.198083 + 0.0323140i
\(127\) 4.87351 16.5976i 0.432454 1.47280i −0.398867 0.917009i \(-0.630596\pi\)
0.831320 0.555794i \(-0.187585\pi\)
\(128\) 10.8881 + 3.07402i 0.962380 + 0.271707i
\(129\) 2.83659 + 0.407841i 0.249748 + 0.0359084i
\(130\) 10.3737 + 6.94741i 0.909836 + 0.609328i
\(131\) −1.65327 + 3.62015i −0.144446 + 0.316294i −0.968002 0.250942i \(-0.919260\pi\)
0.823556 + 0.567235i \(0.191987\pi\)
\(132\) −0.742015 + 2.21373i −0.0645841 + 0.192680i
\(133\) 9.56914 1.37584i 0.829750 0.119300i
\(134\) −1.38323 1.65869i −0.119493 0.143289i
\(135\) −1.63378 1.88549i −0.140614 0.162277i
\(136\) −0.795585 1.03090i −0.0682208 0.0883988i
\(137\) 11.1642i 0.953822i 0.878951 + 0.476911i \(0.158244\pi\)
−0.878951 + 0.476911i \(0.841756\pi\)
\(138\) −3.84967 5.58391i −0.327706 0.475334i
\(139\) 17.1416 1.45393 0.726964 0.686676i \(-0.240931\pi\)
0.726964 + 0.686676i \(0.240931\pi\)
\(140\) −6.84457 + 4.04149i −0.578472 + 0.341568i
\(141\) −0.115171 + 0.0997958i −0.00969911 + 0.00840432i
\(142\) 1.35788 + 1.62829i 0.113950 + 0.136643i
\(143\) −0.587897 4.08891i −0.0491624 0.341932i
\(144\) 3.98856 + 0.302265i 0.332380 + 0.0251887i
\(145\) −14.3005 6.53081i −1.18759 0.542354i
\(146\) 8.49074 12.6782i 0.702699 1.04925i
\(147\) −0.635051 + 4.41687i −0.0523781 + 0.364298i
\(148\) −0.482460 0.601300i −0.0396580 0.0494265i
\(149\) −3.16139 0.928269i −0.258991 0.0760467i 0.149659 0.988738i \(-0.452182\pi\)
−0.408651 + 0.912691i \(0.634001\pi\)
\(150\) 1.70884 + 0.278769i 0.139526 + 0.0227614i
\(151\) 8.13086 3.71324i 0.661680 0.302179i −0.0561247 0.998424i \(-0.517874\pi\)
0.717804 + 0.696245i \(0.245147\pi\)
\(152\) 16.7173 3.89433i 1.35595 0.315872i
\(153\) −0.347943 0.301494i −0.0281295 0.0243744i
\(154\) 2.50898 + 0.788530i 0.202179 + 0.0635416i
\(155\) 0.802444 1.24863i 0.0644538 0.100292i
\(156\) −6.54427 + 2.69449i −0.523961 + 0.215732i
\(157\) 20.2001 12.9818i 1.61214 1.03606i 0.651355 0.758773i \(-0.274201\pi\)
0.960787 0.277287i \(-0.0894354\pi\)
\(158\) 8.62065 + 7.76003i 0.685822 + 0.617355i
\(159\) −6.95151 + 2.04115i −0.551290 + 0.161873i
\(160\) −11.4908 + 8.19385i −0.908427 + 0.647781i
\(161\) −6.20678 + 4.45456i −0.489163 + 0.351069i
\(162\) 1.40337 0.174759i 0.110259 0.0137304i
\(163\) −12.4413 + 3.65310i −0.974478 + 0.286133i −0.729943 0.683508i \(-0.760453\pi\)
−0.244535 + 0.969640i \(0.578635\pi\)
\(164\) −8.50709 5.93334i −0.664292 0.463316i
\(165\) −1.57460 2.45012i −0.122582 0.190742i
\(166\) −6.02737 + 1.64666i −0.467815 + 0.127806i
\(167\) 13.6472 21.2354i 1.05605 1.64325i 0.347349 0.937736i \(-0.387082\pi\)
0.708701 0.705509i \(-0.249282\pi\)
\(168\) 0.255468 4.49849i 0.0197098 0.347066i
\(169\) −0.313064 + 0.361296i −0.0240819 + 0.0277920i
\(170\) 1.62410 + 0.0307147i 0.124563 + 0.00235571i
\(171\) 5.52028 2.52103i 0.422146 0.192788i
\(172\) 0.216710 5.72743i 0.0165240 0.436712i
\(173\) −2.52431 + 8.59702i −0.191920 + 0.653619i 0.806161 + 0.591696i \(0.201541\pi\)
−0.998081 + 0.0619229i \(0.980277\pi\)
\(174\) 7.58666 4.67535i 0.575143 0.354437i
\(175\) 0.277562 1.93048i 0.0209817 0.145931i
\(176\) 4.55859 + 1.01192i 0.343617 + 0.0762760i
\(177\) −0.844965 + 1.85022i −0.0635115 + 0.139071i
\(178\) 1.65162 3.44274i 0.123794 0.258044i
\(179\) −1.44381 10.0420i −0.107916 0.750571i −0.969877 0.243596i \(-0.921673\pi\)
0.861961 0.506975i \(-0.169236\pi\)
\(180\) −3.40781 + 3.64473i −0.254003 + 0.271662i
\(181\) 8.90279 + 10.2744i 0.661739 + 0.763688i 0.983060 0.183283i \(-0.0586724\pi\)
−0.321321 + 0.946970i \(0.604127\pi\)
\(182\) 3.17401 + 7.31298i 0.235273 + 0.542074i
\(183\) −9.42924 −0.697030
\(184\) −10.2995 + 8.82721i −0.759292 + 0.650751i
\(185\) 0.961676 0.0707038
\(186\) 0.334975 + 0.771788i 0.0245615 + 0.0565903i
\(187\) −0.351961 0.406185i −0.0257379 0.0297032i
\(188\) 0.222630 + 0.208158i 0.0162369 + 0.0151815i
\(189\) −0.226710 1.57680i −0.0164907 0.114696i
\(190\) −9.26153 + 19.3053i −0.671902 + 1.40055i
\(191\) 5.97983 13.0940i 0.432685 0.947449i −0.560198 0.828359i \(-0.689275\pi\)
0.992883 0.119090i \(-0.0379977\pi\)
\(192\) −0.234704 7.99656i −0.0169383 0.577102i
\(193\) −1.03961 + 7.23064i −0.0748327 + 0.520473i 0.917583 + 0.397544i \(0.130138\pi\)
−0.992416 + 0.122928i \(0.960772\pi\)
\(194\) −12.2308 + 7.53733i −0.878119 + 0.541149i
\(195\) 2.48724 8.47077i 0.178115 0.606604i
\(196\) 8.91821 + 0.337440i 0.637015 + 0.0241029i
\(197\) −19.0765 + 8.71195i −1.35914 + 0.620700i −0.955711 0.294308i \(-0.904911\pi\)
−0.403434 + 0.915009i \(0.632183\pi\)
\(198\) 1.65064 + 0.0312167i 0.117306 + 0.00221847i
\(199\) −5.48953 + 6.33526i −0.389143 + 0.449095i −0.916192 0.400740i \(-0.868753\pi\)
0.527049 + 0.849835i \(0.323298\pi\)
\(200\) 0.196338 3.45728i 0.0138832 0.244466i
\(201\) −0.825658 + 1.28475i −0.0582374 + 0.0906192i
\(202\) 13.2732 3.62619i 0.933896 0.255138i
\(203\) −5.42712 8.44476i −0.380909 0.592706i
\(204\) −0.526749 + 0.755241i −0.0368798 + 0.0528775i
\(205\) 12.4140 3.64509i 0.867034 0.254584i
\(206\) −19.7839 + 2.46364i −1.37841 + 0.171650i
\(207\) −2.95061 + 3.78073i −0.205081 + 0.262779i
\(208\) 6.73083 + 12.4518i 0.466699 + 0.863376i
\(209\) 6.79755 1.99594i 0.470197 0.138062i
\(210\) 4.17739 + 3.76036i 0.288268 + 0.259489i
\(211\) 4.16764 2.67838i 0.286912 0.184387i −0.389266 0.921125i \(-0.627271\pi\)
0.676178 + 0.736738i \(0.263635\pi\)
\(212\) 5.51668 + 13.3987i 0.378887 + 0.920226i
\(213\) 0.810524 1.26120i 0.0555362 0.0864160i
\(214\) −24.0872 7.57020i −1.64657 0.517489i
\(215\) 5.40336 + 4.68203i 0.368506 + 0.319312i
\(216\) −0.641707 2.75467i −0.0436626 0.187432i
\(217\) 0.862078 0.393698i 0.0585217 0.0267260i
\(218\) −24.3966 3.97992i −1.65235 0.269554i
\(219\) −10.3525 3.03977i −0.699558 0.205409i
\(220\) −4.54327 + 3.64534i −0.306307 + 0.245769i
\(221\) 0.231855 1.61259i 0.0155963 0.108474i
\(222\) −0.303337 + 0.452936i −0.0203586 + 0.0303991i
\(223\) 0.923694 + 0.421837i 0.0618551 + 0.0282483i 0.446102 0.894982i \(-0.352812\pi\)
−0.384247 + 0.923230i \(0.625539\pi\)
\(224\) −9.00098 + 0.434650i −0.601403 + 0.0290413i
\(225\) −0.174236 1.21184i −0.0116158 0.0807893i
\(226\) −0.719886 0.863247i −0.0478861 0.0574224i
\(227\) −14.9638 + 12.9662i −0.993185 + 0.860600i −0.990237 0.139396i \(-0.955484\pi\)
−0.00294808 + 0.999996i \(0.500938\pi\)
\(228\) −6.17121 10.4514i −0.408699 0.692163i
\(229\) −3.05617 −0.201957 −0.100979 0.994889i \(-0.532197\pi\)
−0.100979 + 0.994889i \(0.532197\pi\)
\(230\) −0.548031 16.9121i −0.0361361 1.11515i
\(231\) 1.85967i 0.122357i
\(232\) −10.8892 14.1099i −0.714910 0.926363i
\(233\) 8.31228 + 9.59288i 0.544555 + 0.628450i 0.959606 0.281348i \(-0.0907815\pi\)
−0.415050 + 0.909798i \(0.636236\pi\)
\(234\) 3.20508 + 3.84335i 0.209522 + 0.251248i
\(235\) −0.376327 + 0.0541077i −0.0245489 + 0.00352960i
\(236\) 3.85714 + 1.29287i 0.251079 + 0.0841585i
\(237\) 3.40708 7.46047i 0.221314 0.484610i
\(238\) 0.861796 + 0.577156i 0.0558620 + 0.0374114i
\(239\) −22.2208 3.19486i −1.43734 0.206658i −0.620811 0.783961i \(-0.713196\pi\)
−0.816531 + 0.577302i \(0.804106\pi\)
\(240\) 7.96352 + 6.01425i 0.514043 + 0.388218i
\(241\) 8.46626 28.8334i 0.545360 1.85732i 0.0314049 0.999507i \(-0.490002\pi\)
0.513955 0.857817i \(-0.328180\pi\)
\(242\) −13.4513 2.19435i −0.864679 0.141058i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) 1.97614 + 18.7547i 0.126509 + 1.20064i
\(245\) −7.29042 + 8.41359i −0.465768 + 0.537525i
\(246\) −2.19891 + 6.99659i −0.140198 + 0.446086i
\(247\) 18.0658 + 11.6102i 1.14950 + 0.738740i
\(248\) 1.46488 0.828009i 0.0930197 0.0525786i
\(249\) 2.38865 + 3.71681i 0.151375 + 0.235543i
\(250\) −9.90107 8.91262i −0.626198 0.563684i
\(251\) −4.99982 17.0278i −0.315586 1.07479i −0.952673 0.303995i \(-0.901679\pi\)
0.637088 0.770791i \(-0.280139\pi\)
\(252\) −3.08873 + 0.781383i −0.194572 + 0.0492225i
\(253\) −4.03756 + 3.87845i −0.253839 + 0.243836i
\(254\) 3.02304 + 24.2761i 0.189683 + 1.52322i
\(255\) −0.323603 1.10209i −0.0202648 0.0690156i
\(256\) −15.8559 + 2.14271i −0.990992 + 0.133919i
\(257\) 6.88489 4.42465i 0.429468 0.276002i −0.307998 0.951387i \(-0.599659\pi\)
0.737465 + 0.675385i \(0.236022\pi\)
\(258\) −3.90953 + 1.06807i −0.243397 + 0.0664954i
\(259\) 0.516572 + 0.331981i 0.0320982 + 0.0206283i
\(260\) −17.3695 3.17183i −1.07721 0.196709i
\(261\) −4.76231 4.12656i −0.294779 0.255428i
\(262\) 0.106422 5.62727i 0.00657477 0.347654i
\(263\) 7.81443 + 17.1112i 0.481859 + 1.05512i 0.981948 + 0.189150i \(0.0605731\pi\)
−0.500090 + 0.865974i \(0.666700\pi\)
\(264\) −0.283844 3.28965i −0.0174694 0.202464i
\(265\) −17.3430 5.09237i −1.06537 0.312822i
\(266\) −11.6393 + 7.17283i −0.713651 + 0.439794i
\(267\) −2.67255 0.384254i −0.163557 0.0235160i
\(268\) 2.72839 + 1.37297i 0.166663 + 0.0838677i
\(269\) −24.1204 11.0154i −1.47065 0.671622i −0.490781 0.871283i \(-0.663289\pi\)
−0.979865 + 0.199661i \(0.936016\pi\)
\(270\) 3.18113 + 1.52611i 0.193597 + 0.0928764i
\(271\) −9.68007 + 1.39178i −0.588023 + 0.0845449i −0.429903 0.902875i \(-0.641452\pi\)
−0.158120 + 0.987420i \(0.550543\pi\)
\(272\) 1.61256 + 0.889418i 0.0977758 + 0.0539289i
\(273\) 4.26024 3.69152i 0.257842 0.223421i
\(274\) −6.28608 14.4832i −0.379756 0.874964i
\(275\) 1.42924i 0.0861862i
\(276\) 8.13821 + 5.07638i 0.489863 + 0.305562i
\(277\) 27.1057i 1.62862i −0.580428 0.814312i \(-0.697115\pi\)
0.580428 0.814312i \(-0.302885\pi\)
\(278\) −22.2376 + 9.65166i −1.33372 + 0.578868i
\(279\) 0.449612 0.389591i 0.0269176 0.0233242i
\(280\) 6.60383 9.09687i 0.394654 0.543642i
\(281\) 27.6574 3.97653i 1.64990 0.237220i 0.746304 0.665605i \(-0.231826\pi\)
0.903596 + 0.428385i \(0.140917\pi\)
\(282\) 0.0932192 0.194312i 0.00555112 0.0115711i
\(283\) 8.58107 + 3.91884i 0.510092 + 0.232951i 0.653798 0.756669i \(-0.273175\pi\)
−0.143706 + 0.989620i \(0.545902\pi\)
\(284\) −2.67838 1.34781i −0.158933 0.0799777i
\(285\) 14.9864 + 2.15472i 0.887718 + 0.127635i
\(286\) 3.06496 + 4.97350i 0.181235 + 0.294089i
\(287\) 7.92662 + 2.32747i 0.467894 + 0.137386i
\(288\) −5.34452 + 1.85366i −0.314929 + 0.109228i
\(289\) 6.97400 + 15.2709i 0.410235 + 0.898290i
\(290\) 22.2291 + 0.420394i 1.30534 + 0.0246864i
\(291\) 7.67752 + 6.65261i 0.450064 + 0.389983i
\(292\) −3.87644 + 21.2281i −0.226851 + 1.24228i
\(293\) −13.2940 8.54354i −0.776644 0.499119i 0.0912742 0.995826i \(-0.470906\pi\)
−0.867918 + 0.496707i \(0.834542\pi\)
\(294\) −1.66310 6.08755i −0.0969941 0.355033i
\(295\) −4.26903 + 2.74354i −0.248552 + 0.159735i
\(296\) 0.964457 + 0.508410i 0.0560579 + 0.0295507i
\(297\) −0.328891 1.12010i −0.0190842 0.0649948i
\(298\) 4.62392 0.575807i 0.267856 0.0333556i
\(299\) −16.8997 1.55060i −0.977335 0.0896733i
\(300\) −2.37382 + 0.600526i −0.137053 + 0.0346714i
\(301\) 1.28617 + 4.38029i 0.0741335 + 0.252476i
\(302\) −8.45734 + 9.39529i −0.486665 + 0.540638i
\(303\) −5.26016 8.18497i −0.302188 0.470214i
\(304\) −19.4945 + 14.4648i −1.11808 + 0.829616i
\(305\) −19.7902 12.7184i −1.13318 0.728251i
\(306\) 0.621142 + 0.195215i 0.0355083 + 0.0111597i
\(307\) −10.1858 + 11.7551i −0.581335 + 0.670897i −0.967891 0.251369i \(-0.919119\pi\)
0.386556 + 0.922266i \(0.373665\pi\)
\(308\) −3.69886 + 0.389741i −0.210762 + 0.0222076i
\(309\) 5.85626 + 12.8234i 0.333151 + 0.729499i
\(310\) −0.337957 + 2.07165i −0.0191947 + 0.117662i
\(311\) 4.21937 14.3699i 0.239259 0.814840i −0.749068 0.662493i \(-0.769499\pi\)
0.988327 0.152348i \(-0.0486833\pi\)
\(312\) 6.97268 7.18034i 0.394750 0.406506i
\(313\) −4.90386 0.705069i −0.277183 0.0398528i 0.00232165 0.999997i \(-0.499261\pi\)
−0.279504 + 0.960144i \(0.590170\pi\)
\(314\) −18.8959 + 28.2150i −1.06636 + 1.59226i
\(315\) 1.65100 3.61520i 0.0930236 0.203693i
\(316\) −15.5528 5.21312i −0.874916 0.293261i
\(317\) 20.4943 2.94664i 1.15108 0.165500i 0.459754 0.888047i \(-0.347938\pi\)
0.691322 + 0.722547i \(0.257029\pi\)
\(318\) 7.86886 6.56205i 0.441264 0.367982i
\(319\) −4.81730 5.55946i −0.269717 0.311270i
\(320\) 10.2933 17.0998i 0.575414 0.955907i
\(321\) 17.8536i 0.996489i
\(322\) 5.54384 9.27364i 0.308946 0.516800i
\(323\) 2.79400 0.155462
\(324\) −1.72219 + 1.01689i −0.0956771 + 0.0564940i
\(325\) 3.27418 2.83709i 0.181619 0.157373i
\(326\) 14.0831 11.7443i 0.779991 0.650456i
\(327\) 2.48753 + 17.3012i 0.137561 + 0.956757i
\(328\) 14.3770 + 2.90730i 0.793836 + 0.160529i
\(329\) −0.220826 0.100848i −0.0121745 0.00555992i
\(330\) 3.42227 + 2.29194i 0.188390 + 0.126167i
\(331\) −4.14372 + 28.8202i −0.227759 + 1.58410i 0.479755 + 0.877403i \(0.340726\pi\)
−0.707514 + 0.706699i \(0.750183\pi\)
\(332\) 6.89210 5.52995i 0.378253 0.303496i
\(333\) 0.369850 + 0.108598i 0.0202676 + 0.00595112i
\(334\) −5.74763 + 35.2327i −0.314497 + 1.92785i
\(335\) −3.46579 + 1.58277i −0.189356 + 0.0864762i
\(336\) 2.20149 + 5.97970i 0.120101 + 0.326219i
\(337\) 19.7582 + 17.1206i 1.07630 + 0.932617i 0.997930 0.0643070i \(-0.0204837\pi\)
0.0783678 + 0.996925i \(0.475029\pi\)
\(338\) 0.202706 0.644979i 0.0110258 0.0350822i
\(339\) −0.429704 + 0.668633i −0.0233383 + 0.0363152i
\(340\) −2.12423 + 0.874615i −0.115202 + 0.0474326i
\(341\) 0.584255 0.375478i 0.0316392 0.0203333i
\(342\) −5.74194 + 6.37874i −0.310488 + 0.344923i
\(343\) −17.5200 + 5.14434i −0.945991 + 0.277768i
\(344\) 2.94373 + 7.55217i 0.158715 + 0.407186i
\(345\) −11.2923 + 3.95518i −0.607956 + 0.212940i
\(346\) −1.56583 12.5742i −0.0841798 0.675992i
\(347\) 18.2402 5.35580i 0.979185 0.287515i 0.247297 0.968940i \(-0.420458\pi\)
0.731888 + 0.681425i \(0.238639\pi\)
\(348\) −7.20963 + 10.3370i −0.386477 + 0.554122i
\(349\) 1.36890 + 2.13004i 0.0732753 + 0.114019i 0.875957 0.482389i \(-0.160231\pi\)
−0.802682 + 0.596407i \(0.796594\pi\)
\(350\) 0.726892 + 2.66068i 0.0388540 + 0.142220i
\(351\) 1.91313 2.97689i 0.102115 0.158895i
\(352\) −6.48359 + 1.25399i −0.345577 + 0.0668381i
\(353\) −3.55220 + 4.09946i −0.189065 + 0.218192i −0.842366 0.538906i \(-0.818838\pi\)
0.653301 + 0.757098i \(0.273383\pi\)
\(354\) 0.0543911 2.87603i 0.00289085 0.152859i
\(355\) 3.40227 1.55376i 0.180574 0.0824652i
\(356\) −0.204177 + 5.39619i −0.0108214 + 0.285998i
\(357\) 0.206628 0.703709i 0.0109359 0.0372442i
\(358\) 7.52724 + 12.2144i 0.397827 + 0.645551i
\(359\) −4.82189 + 33.5370i −0.254490 + 1.77001i 0.316049 + 0.948743i \(0.397644\pi\)
−0.570538 + 0.821271i \(0.693265\pi\)
\(360\) 2.36874 6.64707i 0.124843 0.350331i
\(361\) −7.40647 + 16.2179i −0.389814 + 0.853574i
\(362\) −17.3346 8.31608i −0.911085 0.437084i
\(363\) 1.37152 + 9.53911i 0.0719860 + 0.500674i
\(364\) −8.23524 7.69992i −0.431644 0.403586i
\(365\) −17.6278 20.3436i −0.922681 1.06483i
\(366\) 12.2325 5.30920i 0.639402 0.277516i
\(367\) −0.148696 −0.00776187 −0.00388093 0.999992i \(-0.501235\pi\)
−0.00388093 + 0.999992i \(0.501235\pi\)
\(368\) 8.39129 17.2507i 0.437426 0.899254i
\(369\) 5.18592 0.269968
\(370\) −1.24757 + 0.541478i −0.0648583 + 0.0281501i
\(371\) −7.55800 8.72240i −0.392392 0.452844i
\(372\) −0.869121 0.812625i −0.0450618 0.0421327i
\(373\) −2.10294 14.6263i −0.108886 0.757319i −0.968972 0.247170i \(-0.920499\pi\)
0.860086 0.510149i \(-0.170410\pi\)
\(374\) 0.685301 + 0.328766i 0.0354361 + 0.0170001i
\(375\) −3.91313 + 8.56857i −0.202073 + 0.442479i
\(376\) −0.406021 0.144689i −0.0209389 0.00746176i
\(377\) 3.17341 22.0715i 0.163439 1.13674i
\(378\) 1.18194 + 1.91792i 0.0607924 + 0.0986474i
\(379\) 3.30513 11.2562i 0.169773 0.578194i −0.830018 0.557737i \(-0.811670\pi\)
0.999791 0.0204566i \(-0.00651200\pi\)
\(380\) 1.14493 30.2594i 0.0587337 1.55227i
\(381\) 15.7351 7.18599i 0.806135 0.368150i
\(382\) −0.384927 + 20.3537i −0.0196946 + 1.04139i
\(383\) 9.84466 11.3613i 0.503039 0.580537i −0.446264 0.894901i \(-0.647246\pi\)
0.949303 + 0.314364i \(0.101791\pi\)
\(384\) 4.80699 + 10.2417i 0.245306 + 0.522646i
\(385\) 2.50836 3.90309i 0.127838 0.198920i
\(386\) −2.72258 9.96561i −0.138576 0.507236i
\(387\) 1.54935 + 2.41083i 0.0787578 + 0.122550i
\(388\) 11.6230 16.6647i 0.590066 0.846024i
\(389\) −4.68156 + 1.37463i −0.237364 + 0.0696964i −0.398251 0.917276i \(-0.630383\pi\)
0.160887 + 0.986973i \(0.448565\pi\)
\(390\) 1.54284 + 12.3895i 0.0781248 + 0.627368i
\(391\) −1.95877 + 1.01901i −0.0990591 + 0.0515337i
\(392\) −11.7595 + 4.58369i −0.593945 + 0.231512i
\(393\) −3.81858 + 1.12124i −0.192622 + 0.0565589i
\(394\) 19.8425 22.0431i 0.999650 1.11051i
\(395\) 17.2136 11.0625i 0.866112 0.556617i
\(396\) −2.15894 + 0.888907i −0.108491 + 0.0446693i
\(397\) 5.15396 8.01972i 0.258670 0.402498i −0.687492 0.726192i \(-0.741288\pi\)
0.946162 + 0.323694i \(0.104925\pi\)
\(398\) 3.55442 11.3096i 0.178167 0.566899i
\(399\) 7.30624 + 6.33090i 0.365770 + 0.316941i
\(400\) 1.69194 + 4.59565i 0.0845968 + 0.229782i
\(401\) −3.96461 + 1.81058i −0.197983 + 0.0904159i −0.511939 0.859022i \(-0.671073\pi\)
0.313956 + 0.949437i \(0.398345\pi\)
\(402\) 0.347734 2.13159i 0.0173434 0.106314i
\(403\) 2.01994 + 0.593107i 0.100620 + 0.0295448i
\(404\) −15.1774 + 12.1778i −0.755104 + 0.605866i
\(405\) 0.355055 2.46946i 0.0176428 0.122709i
\(406\) 11.7954 + 7.89955i 0.585397 + 0.392048i
\(407\) 0.409321 + 0.186931i 0.0202893 + 0.00926582i
\(408\) 0.258104 1.27636i 0.0127781 0.0631891i
\(409\) −3.34599 23.2718i −0.165448 1.15072i −0.888148 0.459557i \(-0.848008\pi\)
0.722700 0.691162i \(-0.242901\pi\)
\(410\) −14.0522 + 11.7185i −0.693991 + 0.578738i
\(411\) −8.43734 + 7.31100i −0.416183 + 0.360625i
\(412\) 24.2783 14.3355i 1.19611 0.706260i
\(413\) −3.24024 −0.159442
\(414\) 1.69903 6.56607i 0.0835030 0.322705i
\(415\) 11.0227i 0.541084i
\(416\) −15.7429 12.3638i −0.771860 0.606183i
\(417\) 11.2253 + 12.9547i 0.549707 + 0.634395i
\(418\) −7.69459 + 6.41673i −0.376355 + 0.313852i
\(419\) 38.5245 5.53898i 1.88204 0.270597i 0.896888 0.442259i \(-0.145823\pi\)
0.985156 + 0.171662i \(0.0549135\pi\)
\(420\) −7.53659 2.52617i −0.367748 0.123265i
\(421\) 12.2693 26.8659i 0.597967 1.30936i −0.332540 0.943089i \(-0.607905\pi\)
0.930506 0.366276i \(-0.119367\pi\)
\(422\) −3.89857 + 5.82125i −0.189779 + 0.283374i
\(423\) −0.150841 0.0216877i −0.00733416 0.00105449i
\(424\) −14.7010 14.2758i −0.713942 0.693295i
\(425\) 0.158802 0.540830i 0.00770303 0.0262341i
\(426\) −0.341360 + 2.09252i −0.0165389 + 0.101383i
\(427\) −6.23993 13.6635i −0.301971 0.661225i
\(428\) 35.5106 3.74167i 1.71647 0.180861i
\(429\) 2.70520 3.12197i 0.130608 0.150730i
\(430\) −9.64598 3.03157i −0.465170 0.146195i
\(431\) −4.91567 3.15911i −0.236780 0.152169i 0.416870 0.908966i \(-0.363127\pi\)
−0.653650 + 0.756797i \(0.726763\pi\)
\(432\) 2.38352 + 3.21230i 0.114677 + 0.154552i
\(433\) −9.33229 14.5213i −0.448481 0.697850i 0.541239 0.840869i \(-0.317955\pi\)
−0.989720 + 0.143019i \(0.954319\pi\)
\(434\) −0.896693 + 0.996140i −0.0430427 + 0.0478163i
\(435\) −4.42917 15.0844i −0.212362 0.723239i
\(436\) 33.8905 8.57358i 1.62306 0.410600i
\(437\) −1.49249 29.0662i −0.0713955 1.39042i
\(438\) 15.1418 1.88557i 0.723503 0.0900962i
\(439\) 2.62016 + 8.92345i 0.125054 + 0.425893i 0.998091 0.0617598i \(-0.0196713\pi\)
−0.873038 + 0.487653i \(0.837853\pi\)
\(440\) 3.84141 7.28719i 0.183132 0.347403i
\(441\) −3.75392 + 2.41250i −0.178758 + 0.114881i
\(442\) 0.607194 + 2.22254i 0.0288813 + 0.105716i
\(443\) −3.70422 2.38056i −0.175993 0.113104i 0.449679 0.893190i \(-0.351539\pi\)
−0.625671 + 0.780087i \(0.715175\pi\)
\(444\) 0.138488 0.758386i 0.00657236 0.0359914i
\(445\) −5.09086 4.41126i −0.241330 0.209114i
\(446\) −1.43582 0.0271540i −0.0679880 0.00128578i
\(447\) −1.36873 2.99711i −0.0647389 0.141758i
\(448\) 11.4322 5.63193i 0.540119 0.266084i
\(449\) −37.6331 11.0501i −1.77602 0.521486i −0.781301 0.624154i \(-0.785444\pi\)
−0.994716 + 0.102669i \(0.967262\pi\)
\(450\) 0.908370 + 1.47401i 0.0428210 + 0.0694853i
\(451\) 5.99236 + 0.861571i 0.282169 + 0.0405698i
\(452\) 1.41996 + 0.714548i 0.0667893 + 0.0336095i
\(453\) 8.13086 + 3.71324i 0.382021 + 0.174463i
\(454\) 12.1117 25.2465i 0.568433 1.18488i
\(455\) 13.9206 2.00148i 0.652609 0.0938310i
\(456\) 13.8906 + 10.0838i 0.650488 + 0.472218i
\(457\) −6.17266 + 5.34864i −0.288745 + 0.250199i −0.787173 0.616732i \(-0.788456\pi\)
0.498428 + 0.866931i \(0.333911\pi\)
\(458\) 3.96475 1.72080i 0.185260 0.0804075i
\(459\) 0.460395i 0.0214894i
\(460\) 10.2334 + 21.6313i 0.477135 + 1.00856i
\(461\) 10.0301i 0.467147i −0.972339 0.233573i \(-0.924958\pi\)
0.972339 0.233573i \(-0.0750419\pi\)
\(462\) 1.04710 + 2.41254i 0.0487155 + 0.112241i
\(463\) −24.1947 + 20.9648i −1.12442 + 0.974318i −0.999840 0.0178915i \(-0.994305\pi\)
−0.124583 + 0.992209i \(0.539759\pi\)
\(464\) 22.0712 + 12.1735i 1.02463 + 0.565140i
\(465\) 1.46914 0.211230i 0.0681296 0.00979556i
\(466\) −16.1848 7.76449i −0.749746 0.359683i
\(467\) 14.7942 + 6.75629i 0.684595 + 0.312644i 0.727178 0.686449i \(-0.240832\pi\)
−0.0425833 + 0.999093i \(0.513559\pi\)
\(468\) −6.32195 3.18131i −0.292232 0.147056i
\(469\) −2.40807 0.346228i −0.111194 0.0159873i
\(470\) 0.457741 0.282087i 0.0211140 0.0130117i
\(471\) 23.0392 + 6.76493i 1.06159 + 0.311711i
\(472\) −5.73180 + 0.494563i −0.263827 + 0.0227641i
\(473\) 1.38975 + 3.04314i 0.0639009 + 0.139924i
\(474\) −0.219317 + 11.5968i −0.0100736 + 0.532658i
\(475\) 5.61516 + 4.86556i 0.257641 + 0.223247i
\(476\) −1.44297 0.263500i −0.0661386 0.0120775i
\(477\) −6.09486 3.91693i −0.279065 0.179344i
\(478\) 30.6257 8.36687i 1.40079 0.382692i
\(479\) −18.7818 + 12.0703i −0.858163 + 0.551508i −0.894111 0.447846i \(-0.852191\pi\)
0.0359476 + 0.999354i \(0.488555\pi\)
\(480\) −13.7174 3.31833i −0.626110 0.151460i
\(481\) 0.384287 + 1.30876i 0.0175220 + 0.0596745i
\(482\) 5.25163 + 42.1724i 0.239205 + 1.92090i
\(483\) −7.43111 1.77366i −0.338127 0.0807041i
\(484\) 18.6858 4.72710i 0.849352 0.214868i
\(485\) 7.14045 + 24.3181i 0.324231 + 1.10423i
\(486\) 1.05109 + 0.946157i 0.0476784 + 0.0429185i
\(487\) 13.7834 + 21.4474i 0.624586 + 0.971874i 0.999004 + 0.0446144i \(0.0142059\pi\)
−0.374419 + 0.927260i \(0.622158\pi\)
\(488\) −13.1236 23.2176i −0.594076 1.05101i
\(489\) −10.9081 7.01024i −0.493283 0.317014i
\(490\) 4.72048 15.0198i 0.213249 0.678526i
\(491\) −25.9708 + 29.9719i −1.17204 + 1.35261i −0.248727 + 0.968574i \(0.580012\pi\)
−0.923318 + 0.384037i \(0.874533\pi\)
\(492\) −1.08684 10.3147i −0.0489986 0.465024i
\(493\) −1.20518 2.63898i −0.0542786 0.118854i
\(494\) −29.9739 4.88975i −1.34859 0.220000i
\(495\) 0.820536 2.79449i 0.0368804 0.125603i
\(496\) −1.43416 + 1.89898i −0.0643955 + 0.0852666i
\(497\) 2.36393 + 0.339882i 0.106037 + 0.0152458i
\(498\) −5.19155 3.47685i −0.232639 0.155801i
\(499\) −11.6268 + 25.4590i −0.520485 + 1.13970i 0.448771 + 0.893647i \(0.351862\pi\)
−0.969256 + 0.246056i \(0.920865\pi\)
\(500\) 17.8629 + 5.98742i 0.798853 + 0.267766i
\(501\) 24.9856 3.59239i 1.11628 0.160496i
\(502\) 16.0739 + 19.2749i 0.717411 + 0.860280i
\(503\) 8.02013 + 9.25572i 0.357600 + 0.412692i 0.905834 0.423633i \(-0.139245\pi\)
−0.548234 + 0.836325i \(0.684700\pi\)
\(504\) 3.56703 2.75281i 0.158888 0.122620i
\(505\) 24.2737i 1.08016i
\(506\) 3.05411 7.30486i 0.135772 0.324741i
\(507\) −0.478062 −0.0212315
\(508\) −17.5906 29.7910i −0.780455 1.32176i
\(509\) −3.99714 + 3.46354i −0.177170 + 0.153519i −0.738932 0.673780i \(-0.764669\pi\)
0.561761 + 0.827299i \(0.310124\pi\)
\(510\) 1.04035 + 1.24753i 0.0460674 + 0.0552415i
\(511\) −2.44610 17.0130i −0.108209 0.752611i
\(512\) 19.3632 11.7075i 0.855743 0.517402i
\(513\) 5.52028 + 2.52103i 0.243726 + 0.111306i
\(514\) −6.44039 + 9.61665i −0.284073 + 0.424172i
\(515\) −5.00534 + 34.8129i −0.220562 + 1.53404i
\(516\) 4.47042 3.58689i 0.196799 0.157904i
\(517\) −0.170695 0.0501205i −0.00750715 0.00220430i
\(518\) −0.857069 0.139817i −0.0376575 0.00614320i
\(519\) −8.15026 + 3.72210i −0.357757 + 0.163382i
\(520\) 24.3193 5.66523i 1.06647 0.248437i
\(521\) 4.39269 + 3.80629i 0.192447 + 0.166756i 0.745755 0.666221i \(-0.232089\pi\)
−0.553308 + 0.832977i \(0.686635\pi\)
\(522\) 8.50159 + 2.67191i 0.372105 + 0.116946i
\(523\) 9.34854 14.5466i 0.408783 0.636079i −0.574427 0.818556i \(-0.694775\pi\)
0.983210 + 0.182477i \(0.0584115\pi\)
\(524\) 3.03041 + 7.36013i 0.132384 + 0.321529i
\(525\) 1.64073 1.05443i 0.0716072 0.0460191i
\(526\) −19.7722 17.7983i −0.862109 0.776043i
\(527\) 0.262804 0.0771663i 0.0114479 0.00336142i
\(528\) 2.22049 + 4.10782i 0.0966343 + 0.178770i
\(529\) 11.6472 + 19.8329i 0.506400 + 0.862299i
\(530\) 25.3662 3.15880i 1.10184 0.137210i
\(531\) −1.95163 + 0.573052i −0.0846937 + 0.0248683i
\(532\) 11.0609 15.8588i 0.479550 0.687568i
\(533\) 9.92134 + 15.4379i 0.429741 + 0.668690i
\(534\) 3.68343 1.00630i 0.159398 0.0435470i
\(535\) −24.0813 + 37.4712i −1.04112 + 1.62002i
\(536\) −4.31258 0.244910i −0.186275 0.0105785i
\(537\) 6.64370 7.66724i 0.286697 0.330866i
\(538\) 37.4935 + 0.709071i 1.61646 + 0.0305702i
\(539\) −4.73848 + 2.16399i −0.204101 + 0.0932097i
\(540\) −4.98614 0.188662i −0.214569 0.00811871i
\(541\) −7.73400 + 26.3396i −0.332511 + 1.13243i 0.608360 + 0.793661i \(0.291828\pi\)
−0.940871 + 0.338766i \(0.889990\pi\)
\(542\) 11.7742 7.25598i 0.505747 0.311671i
\(543\) −1.93476 + 13.4566i −0.0830285 + 0.577476i
\(544\) −2.59275 0.245873i −0.111163 0.0105417i
\(545\) −18.1153 + 39.6670i −0.775975 + 1.69915i
\(546\) −3.44825 + 7.18774i −0.147571 + 0.307607i
\(547\) −6.03953 42.0059i −0.258232 1.79604i −0.545416 0.838165i \(-0.683628\pi\)
0.287185 0.957875i \(-0.407281\pi\)
\(548\) 16.3098 + 15.2496i 0.696718 + 0.651430i
\(549\) −6.17484 7.12615i −0.263536 0.304137i
\(550\) 0.804740 + 1.85414i 0.0343142 + 0.0790606i
\(551\) 38.2415 1.62914
\(552\) −13.4159 2.00327i −0.571019 0.0852650i
\(553\) 13.0654 0.555596
\(554\) 15.2620 + 35.1640i 0.648422 + 1.49398i
\(555\) 0.629764 + 0.726786i 0.0267320 + 0.0308504i
\(556\) 23.4142 25.0421i 0.992985 1.06202i
\(557\) −1.84560 12.8364i −0.0782006 0.543897i −0.990831 0.135110i \(-0.956861\pi\)
0.912630 0.408787i \(-0.134048\pi\)
\(558\) −0.363917 + 0.758571i −0.0154058 + 0.0321129i
\(559\) −4.21268 + 9.22448i −0.178177 + 0.390154i
\(560\) −3.44505 + 15.5196i −0.145580 + 0.655824i
\(561\) 0.0764885 0.531989i 0.00322935 0.0224606i
\(562\) −33.6407 + 20.7314i −1.41905 + 0.874501i
\(563\) −0.615411 + 2.09590i −0.0259365 + 0.0883316i −0.971444 0.237268i \(-0.923748\pi\)
0.945508 + 0.325600i \(0.105566\pi\)
\(564\) −0.0115240 + 0.304567i −0.000485246 + 0.0128246i
\(565\) −1.80373 + 0.823736i −0.0758835 + 0.0346549i
\(566\) −13.3387 0.252259i −0.560667 0.0106032i
\(567\) 1.04320 1.20392i 0.0438105 0.0505600i
\(568\) 4.23353 + 0.240421i 0.177635 + 0.0100878i
\(569\) 7.37674 11.4784i 0.309249 0.481201i −0.651489 0.758658i \(-0.725855\pi\)
0.960738 + 0.277457i \(0.0894917\pi\)
\(570\) −20.6550 + 5.64289i −0.865142 + 0.236355i
\(571\) −8.79013 13.6777i −0.367856 0.572395i 0.607146 0.794590i \(-0.292314\pi\)
−0.975002 + 0.222195i \(0.928678\pi\)
\(572\) −6.77651 4.72633i −0.283340 0.197618i
\(573\) 13.8117 4.05549i 0.576994 0.169421i
\(574\) −11.5936 + 1.44373i −0.483909 + 0.0602602i
\(575\) −5.71112 1.36313i −0.238170 0.0568464i
\(576\) 5.88970 5.41401i 0.245404 0.225584i
\(577\) 16.9510 4.97727i 0.705680 0.207206i 0.0908485 0.995865i \(-0.471042\pi\)
0.614832 + 0.788658i \(0.289224\pi\)
\(578\) −17.6457 15.8841i −0.733965 0.660692i
\(579\) −6.14535 + 3.94938i −0.255392 + 0.164130i
\(580\) −29.0744 + 11.9709i −1.20725 + 0.497064i
\(581\) −3.80516 + 5.92095i −0.157865 + 0.245642i
\(582\) −13.7058 4.30750i −0.568123 0.178552i
\(583\) −6.39191 5.53862i −0.264726 0.229386i
\(584\) −6.92374 29.7217i −0.286506 1.22989i
\(585\) 8.03058 3.66744i 0.332024 0.151630i
\(586\) 22.0567 + 3.59819i 0.911154 + 0.148640i
\(587\) −33.9337 9.96384i −1.40060 0.411252i −0.507707 0.861530i \(-0.669507\pi\)
−0.892888 + 0.450278i \(0.851325\pi\)
\(588\) 5.58516 + 6.96091i 0.230328 + 0.287063i
\(589\) −0.513814 + 3.57366i −0.0211713 + 0.147250i
\(590\) 3.99341 5.96287i 0.164406 0.245488i
\(591\) −19.0765 8.71195i −0.784702 0.358362i
\(592\) −1.53745 0.116512i −0.0631886 0.00478862i
\(593\) −3.63057 25.2512i −0.149090 1.03694i −0.917714 0.397241i \(-0.869968\pi\)
0.768624 0.639700i \(-0.220942\pi\)
\(594\) 1.05735 + 1.26791i 0.0433835 + 0.0520231i
\(595\) 1.38285 1.19824i 0.0566912 0.0491232i
\(596\) −5.67436 + 3.35052i −0.232431 + 0.137242i
\(597\) −8.38275 −0.343083
\(598\) 22.7969 7.50391i 0.932236 0.306858i
\(599\) 23.7787i 0.971571i 0.874078 + 0.485786i \(0.161466\pi\)
−0.874078 + 0.485786i \(0.838534\pi\)
\(600\) 2.74141 2.11565i 0.111918 0.0863712i
\(601\) 14.8985 + 17.1938i 0.607722 + 0.701348i 0.973327 0.229422i \(-0.0736835\pi\)
−0.365605 + 0.930770i \(0.619138\pi\)
\(602\) −4.13489 4.95833i −0.168525 0.202086i
\(603\) −1.51164 + 0.217341i −0.0615587 + 0.00885081i
\(604\) 5.68156 16.9504i 0.231179 0.689702i
\(605\) −9.98800 + 21.8707i −0.406070 + 0.889169i
\(606\) 11.4326 + 7.65653i 0.464416 + 0.311025i
\(607\) −24.1431 3.47125i −0.979938 0.140894i −0.366313 0.930492i \(-0.619380\pi\)
−0.613625 + 0.789598i \(0.710289\pi\)
\(608\) 17.1455 29.7416i 0.695341 1.20618i
\(609\) 2.82812 9.63168i 0.114601 0.390295i
\(610\) 32.8348 + 5.35646i 1.32944 + 0.216877i
\(611\) −0.224017 0.490529i −0.00906277 0.0198447i
\(612\) −0.915720 + 0.0964875i −0.0370158 + 0.00390028i
\(613\) −18.9974 + 21.9241i −0.767297 + 0.885508i −0.996124 0.0879594i \(-0.971965\pi\)
0.228827 + 0.973467i \(0.426511\pi\)
\(614\) 6.59522 20.9849i 0.266161 0.846883i
\(615\) 10.8842 + 6.99487i 0.438895 + 0.282061i
\(616\) 4.57906 2.58828i 0.184496 0.104285i
\(617\) 10.5219 + 16.3723i 0.423594 + 0.659126i 0.985810 0.167865i \(-0.0536873\pi\)
−0.562216 + 0.826991i \(0.690051\pi\)
\(618\) −14.8176 13.3383i −0.596051 0.536546i
\(619\) −4.09735 13.9543i −0.164686 0.560870i −0.999939 0.0110043i \(-0.996497\pi\)
0.835253 0.549866i \(-0.185321\pi\)
\(620\) −0.728030 2.87783i −0.0292384 0.115576i
\(621\) −4.78952 + 0.245933i −0.192197 + 0.00986894i
\(622\) 2.61728 + 21.0177i 0.104944 + 0.842732i
\(623\) −1.21179 4.12696i −0.0485492 0.165343i
\(624\) −5.00267 + 13.2410i −0.200267 + 0.530065i
\(625\) −24.9201 + 16.0152i −0.996804 + 0.640607i
\(626\) 6.75873 1.84647i 0.270133 0.0737998i
\(627\) 5.95988 + 3.83018i 0.238015 + 0.152963i
\(628\) 8.62691 47.2425i 0.344251 1.88518i
\(629\) 0.134119 + 0.116215i 0.00534769 + 0.00463380i
\(630\) −0.106276 + 5.61957i −0.00423416 + 0.223889i
\(631\) −14.7655 32.3319i −0.587805 1.28711i −0.936759 0.349974i \(-0.886190\pi\)
0.348954 0.937140i \(-0.386537\pi\)
\(632\) 23.1119 1.99419i 0.919341 0.0793245i
\(633\) 4.75341 + 1.39573i 0.188931 + 0.0554751i
\(634\) −24.9280 + 15.3621i −0.990017 + 0.610107i
\(635\) 42.7176 + 6.14186i 1.69520 + 0.243732i
\(636\) −6.51340 + 12.9435i −0.258273 + 0.513244i
\(637\) −14.3635 6.55958i −0.569102 0.259900i
\(638\) 9.37974 + 4.49984i 0.371347 + 0.178150i
\(639\) 1.48393 0.213357i 0.0587035 0.00844028i
\(640\) −3.72530 + 27.9791i −0.147255 + 1.10597i
\(641\) −0.308165 + 0.267026i −0.0121718 + 0.0105469i −0.660925 0.750452i \(-0.729836\pi\)
0.648754 + 0.760999i \(0.275291\pi\)
\(642\) −10.0526 23.1613i −0.396743 0.914104i
\(643\) 33.5810i 1.32431i −0.749369 0.662153i \(-0.769643\pi\)
0.749369 0.662153i \(-0.230357\pi\)
\(644\) −1.97040 + 15.1521i −0.0776448 + 0.597077i
\(645\) 7.14966i 0.281518i
\(646\) −3.62463 + 1.57318i −0.142609 + 0.0618958i
\(647\) −21.9978 + 19.0612i −0.864821 + 0.749372i −0.969489 0.245136i \(-0.921167\pi\)
0.104668 + 0.994507i \(0.466622\pi\)
\(648\) 1.66161 2.28890i 0.0652743 0.0899163i
\(649\) −2.35033 + 0.337926i −0.0922585 + 0.0132648i
\(650\) −2.65012 + 5.52408i −0.103946 + 0.216672i
\(651\) 0.862078 + 0.393698i 0.0337875 + 0.0154302i
\(652\) −11.6572 + 23.1654i −0.456532 + 0.907226i
\(653\) 32.1023 + 4.61561i 1.25626 + 0.180623i 0.738118 0.674672i \(-0.235715\pi\)
0.518142 + 0.855295i \(0.326624\pi\)
\(654\) −12.9686 21.0440i −0.507112 0.822887i
\(655\) −9.52681 2.79732i −0.372243 0.109300i
\(656\) −20.2881 + 4.32343i −0.792118 + 0.168802i
\(657\) −4.48215 9.81453i −0.174865 0.382901i
\(658\) 0.343259 + 0.00649165i 0.0133816 + 0.000253071i
\(659\) −23.7816 20.6068i −0.926398 0.802729i 0.0542457 0.998528i \(-0.482725\pi\)
−0.980644 + 0.195799i \(0.937270\pi\)
\(660\) −5.73017 1.04638i −0.223047 0.0407303i
\(661\) −8.43733 5.42234i −0.328174 0.210905i 0.366170 0.930548i \(-0.380669\pi\)
−0.694344 + 0.719643i \(0.744305\pi\)
\(662\) −10.8518 39.7214i −0.421767 1.54382i
\(663\) 1.37054 0.880795i 0.0532275 0.0342073i
\(664\) −5.82739 + 11.0546i −0.226147 + 0.429002i
\(665\) 6.79514 + 23.1421i 0.263504 + 0.897413i
\(666\) −0.540950 + 0.0673633i −0.0209614 + 0.00261028i
\(667\) −26.8097 + 13.9473i −1.03808 + 0.540040i
\(668\) −12.3816 48.9433i −0.479059 1.89367i
\(669\) 0.286088 + 0.974326i 0.0110608 + 0.0376696i
\(670\) 3.60495 4.00476i 0.139272 0.154717i
\(671\) −5.95115 9.26017i −0.229742 0.357485i
\(672\) −6.22288 6.51785i −0.240053 0.251432i
\(673\) 18.9734 + 12.1935i 0.731371 + 0.470023i 0.852575 0.522604i \(-0.175039\pi\)
−0.121205 + 0.992628i \(0.538676\pi\)
\(674\) −35.2720 11.0854i −1.35863 0.426994i
\(675\) 0.801747 0.925266i 0.0308593 0.0356135i
\(676\) 0.100190 + 0.950861i 0.00385347 + 0.0365716i
\(677\) −3.46712 7.59194i −0.133252 0.291782i 0.831230 0.555928i \(-0.187637\pi\)
−0.964483 + 0.264146i \(0.914910\pi\)
\(678\) 0.180974 1.10936i 0.00695027 0.0426047i
\(679\) −4.55933 + 15.5277i −0.174971 + 0.595897i
\(680\) 2.26329 2.33069i 0.0867931 0.0893779i
\(681\) −19.5985 2.81783i −0.751015 0.107980i
\(682\) −0.546534 + 0.816073i −0.0209279 + 0.0312491i
\(683\) −14.1890 + 31.0696i −0.542927 + 1.18884i 0.417080 + 0.908870i \(0.363053\pi\)
−0.960007 + 0.279975i \(0.909674\pi\)
\(684\) 3.85738 11.5081i 0.147491 0.440024i
\(685\) −27.5696 + 3.96391i −1.05338 + 0.151453i
\(686\) 19.8320 16.5385i 0.757190 0.631441i
\(687\) −2.00137 2.30970i −0.0763569 0.0881205i
\(688\) −8.07117 8.13988i −0.307711 0.310330i
\(689\) 25.6373i 0.976705i
\(690\) 12.4224 11.4892i 0.472912 0.437387i
\(691\) 14.1716 0.539112 0.269556 0.962985i \(-0.413123\pi\)
0.269556 + 0.962985i \(0.413123\pi\)
\(692\) 9.11131 + 15.4307i 0.346360 + 0.586588i
\(693\) 1.40545 1.21783i 0.0533885 0.0462614i
\(694\) −20.6472 + 17.2183i −0.783759 + 0.653598i
\(695\) 6.08619 + 42.3304i 0.230862 + 1.60568i
\(696\) 3.53268 17.4695i 0.133906 0.662181i
\(697\) 2.17181 + 0.991832i 0.0822632 + 0.0375683i
\(698\) −2.97519 1.99252i −0.112613 0.0754181i
\(699\) −1.80643 + 12.5640i −0.0683255 + 0.475214i
\(700\) −2.44111 3.04240i −0.0922652 0.114992i
\(701\) 24.4946 + 7.19226i 0.925148 + 0.271648i 0.709404 0.704802i \(-0.248964\pi\)
0.215744 + 0.976450i \(0.430782\pi\)
\(702\) −0.805733 + 4.93910i −0.0304104 + 0.186414i
\(703\) −2.12787 + 0.971765i −0.0802541 + 0.0366508i
\(704\) 7.70504 5.27742i 0.290395 0.198900i
\(705\) −0.287334 0.248976i −0.0108216 0.00937698i
\(706\) 2.30002 7.31829i 0.0865624 0.275428i
\(707\) 8.37953 13.0388i 0.315145 0.490374i
\(708\) 1.54881 + 3.76168i 0.0582078 + 0.141373i
\(709\) 25.1352 16.1534i 0.943974 0.606655i 0.0244548 0.999701i \(-0.492215\pi\)
0.919519 + 0.393046i \(0.128579\pi\)
\(710\) −3.53888 + 3.93135i −0.132812 + 0.147541i
\(711\) 7.86941 2.31067i 0.295126 0.0866568i
\(712\) −2.77348 7.11540i −0.103941 0.266661i
\(713\) −0.943151 2.69275i −0.0353213 0.100844i
\(714\) 0.128171 + 1.02926i 0.00479669 + 0.0385190i
\(715\) 9.88868 2.90358i 0.369816 0.108588i
\(716\) −16.6424 11.6074i −0.621956 0.433788i
\(717\) −12.1370 18.8855i −0.453264 0.705293i
\(718\) −12.6278 46.2223i −0.471266 1.72500i
\(719\) 15.7938 24.5757i 0.589011 0.916519i −0.410977 0.911646i \(-0.634812\pi\)
0.999988 0.00487329i \(-0.00155122\pi\)
\(720\) 0.669727 + 9.95692i 0.0249593 + 0.371073i
\(721\) −14.7064 + 16.9721i −0.547697 + 0.632076i
\(722\) 0.476760 25.2096i 0.0177432 0.938205i
\(723\) 27.3351 12.4835i 1.01660 0.464267i
\(724\) 27.1704 + 1.02805i 1.00978 + 0.0382073i
\(725\) 2.17353 7.40235i 0.0807228 0.274917i
\(726\) −7.15032 11.6028i −0.265373 0.430619i
\(727\) 1.10257 7.66855i 0.0408921 0.284411i −0.959107 0.283044i \(-0.908656\pi\)
0.999999 0.00136696i \(-0.000435117\pi\)
\(728\) 15.0190 + 5.35215i 0.556641 + 0.198364i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 34.3230 + 16.4661i 1.27035 + 0.609438i
\(731\) 0.187768 + 1.30595i 0.00694484 + 0.0483024i
\(732\) −12.8797 + 13.7752i −0.476049 + 0.509145i
\(733\) 0.886967 + 1.02361i 0.0327609 + 0.0378081i 0.771894 0.635752i \(-0.219310\pi\)
−0.739133 + 0.673560i \(0.764764\pi\)
\(734\) 0.192902 0.0837242i 0.00712015 0.00309032i
\(735\) −11.1328 −0.410639
\(736\) −1.17284 + 27.1040i −0.0432314 + 0.999065i
\(737\) −1.78282 −0.0656709
\(738\) −6.72765 + 2.91996i −0.247648 + 0.107485i
\(739\) −32.3937 37.3843i −1.19162 1.37520i −0.909436 0.415843i \(-0.863486\pi\)
−0.282184 0.959360i \(-0.591059\pi\)
\(740\) 1.31359 1.40491i 0.0482884 0.0516455i
\(741\) 3.05620 + 21.2563i 0.112272 + 0.780870i
\(742\) 14.7161 + 7.05992i 0.540246 + 0.259178i
\(743\) 1.62522 3.55874i 0.0596236 0.130557i −0.877475 0.479623i \(-0.840774\pi\)
0.937098 + 0.349065i \(0.113501\pi\)
\(744\) 1.58506 + 0.564849i 0.0581110 + 0.0207084i
\(745\) 1.16986 8.13652i 0.0428602 0.298099i
\(746\) 10.9635 + 17.7905i 0.401404 + 0.651355i
\(747\) −1.24475 + 4.23922i −0.0455429 + 0.155105i
\(748\) −1.07415 0.0406429i −0.0392748 0.00148605i
\(749\) −25.8709 + 11.8148i −0.945302 + 0.431705i
\(750\) 0.251892 13.3193i 0.00919778 0.486350i
\(751\) 5.40945 6.24284i 0.197394 0.227804i −0.648420 0.761283i \(-0.724570\pi\)
0.845814 + 0.533478i \(0.179115\pi\)
\(752\) 0.608195 0.0409087i 0.0221786 0.00149179i
\(753\) 9.59459 14.9295i 0.349646 0.544060i
\(754\) 8.31068 + 30.4200i 0.302657 + 1.10783i
\(755\) 12.0566 + 18.7604i 0.438784 + 0.682762i
\(756\) −2.61322 1.82261i −0.0950419 0.0662877i
\(757\) −14.4573 + 4.24506i −0.525461 + 0.154289i −0.533695 0.845677i \(-0.679197\pi\)
0.00823426 + 0.999966i \(0.497379\pi\)
\(758\) 2.05018 + 16.4636i 0.0744657 + 0.597984i
\(759\) −5.57518 0.511539i −0.202366 0.0185677i
\(760\) 15.5524 + 39.8999i 0.564146 + 1.44732i
\(761\) 44.8587 13.1717i 1.62613 0.477474i 0.663470 0.748203i \(-0.269083\pi\)
0.962656 + 0.270729i \(0.0872647\pi\)
\(762\) −16.3669 + 18.1821i −0.592912 + 0.658668i
\(763\) −23.4243 + 15.0539i −0.848016 + 0.544986i
\(764\) −10.9609 26.6215i −0.396553 0.963131i
\(765\) 0.620990 0.966279i 0.0224519 0.0349359i
\(766\) −6.37432 + 20.2821i −0.230314 + 0.732821i
\(767\) −5.43964 4.71348i −0.196414 0.170194i
\(768\) −12.0027 10.5799i −0.433112 0.381769i
\(769\) −21.0832 + 9.62838i −0.760280 + 0.347208i −0.757541 0.652788i \(-0.773599\pi\)
−0.00273933 + 0.999996i \(0.500872\pi\)
\(770\) −1.05642 + 6.47579i −0.0380707 + 0.233371i
\(771\) 7.85258 + 2.30572i 0.282804 + 0.0830386i
\(772\) 9.14318 + 11.3953i 0.329070 + 0.410127i
\(773\) 0.00105957 0.00736947i 3.81101e−5 0.000265061i