Properties

Label 690.2.w.a.37.4
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.4
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.a.373.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(0.565910 + 2.16327i) q^{5} +(0.841254 + 0.540641i) q^{6} +(1.25538 + 3.36582i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(0.565910 + 2.16327i) q^{5} +(0.841254 + 0.540641i) q^{6} +(1.25538 + 3.36582i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(0.540059 - 2.16987i) q^{10} +(0.643696 - 2.19223i) q^{11} +(-0.479249 - 0.877679i) q^{12} +(2.56028 + 0.954935i) q^{13} +(0.511239 - 3.55575i) q^{14} +(-0.410142 - 2.19813i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(0.483874 - 0.105260i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(-2.66297 + 1.71139i) q^{19} +(-1.51391 + 1.64563i) q^{20} +(-1.01207 - 3.44680i) q^{21} +(-1.61558 + 1.61558i) q^{22} +(-3.80423 + 2.92025i) q^{23} +1.00000i q^{24} +(-4.35949 + 2.44843i) q^{25} +(-1.78945 - 2.06514i) q^{26} +(-0.977147 - 0.212565i) q^{27} +(-2.15279 + 2.87579i) q^{28} +(1.40781 - 2.19060i) q^{29} +(-0.693479 + 2.12581i) q^{30} +(-2.17981 + 2.51564i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-0.798447 + 2.14072i) q^{33} +(-0.475132 - 0.139511i) q^{34} +(-6.57074 + 4.62049i) q^{35} +(0.415415 + 0.909632i) q^{36} +(2.70205 + 3.60952i) q^{37} +(3.15741 - 0.225823i) q^{38} +(-2.48563 - 1.13515i) q^{39} +(2.11739 - 0.718794i) q^{40} +(-1.05283 - 7.32257i) q^{41} +(-0.763601 + 3.51022i) q^{42} +(-0.0953980 + 1.33384i) q^{43} +(2.19223 - 0.643696i) q^{44} +(0.252284 + 2.22179i) q^{45} +(4.73842 - 0.739870i) q^{46} +(6.96281 + 6.96281i) q^{47} +(0.479249 - 0.877679i) q^{48} +(-4.46248 + 3.86676i) q^{49} +(4.99964 - 0.0596573i) q^{50} +(-0.490151 + 0.0704730i) q^{51} +(0.580849 + 2.67012i) q^{52} +(-3.48357 + 1.29930i) q^{53} +(0.755750 + 0.654861i) q^{54} +(5.10666 + 0.151886i) q^{55} +(3.26768 - 1.49230i) q^{56} +(2.77827 - 1.51705i) q^{57} +(-2.28545 + 1.24795i) q^{58} +(1.75019 - 0.799287i) q^{59} +(1.62745 - 1.53343i) q^{60} +(6.99406 + 6.06038i) q^{61} +(3.11880 - 1.16325i) q^{62} +(0.763601 + 3.51022i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-0.616896 + 6.07899i) q^{65} +(1.72672 - 1.49621i) q^{66} +(-3.79946 + 6.95819i) q^{67} +(0.350153 + 0.350153i) q^{68} +(4.00286 - 2.64142i) q^{69} +(7.98137 - 0.906283i) q^{70} +(-8.39210 + 2.46414i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(-2.60192 + 11.9608i) q^{73} +(-0.641676 - 4.46295i) q^{74} +(4.52305 - 2.13119i) q^{75} +(-2.87942 - 1.31499i) q^{76} +(8.18672 - 0.585526i) q^{77} +(1.63757 + 2.18753i) q^{78} +(-3.20130 - 7.00988i) q^{79} +(-2.20287 - 0.383886i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-2.58529 + 6.93143i) q^{82} +(-2.35691 + 1.76436i) q^{83} +(2.35246 - 2.71489i) q^{84} +(0.501536 + 0.987184i) q^{85} +(0.722970 - 1.12496i) q^{86} +(-1.56050 + 2.08459i) q^{87} +(-2.23256 - 0.485664i) q^{88} +(-10.3008 - 11.8878i) q^{89} +(0.843366 - 2.07093i) q^{90} +9.81624i q^{91} +(-4.51339 - 1.62151i) q^{92} +(2.35372 - 2.35372i) q^{93} +(-2.77419 - 9.44804i) q^{94} +(-5.20920 - 4.79224i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(12.4769 + 9.34012i) q^{97} +(5.76977 - 1.25514i) q^{98} +(0.949130 - 2.07830i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) −0.997452 0.0713392i −0.575879 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 0.565910 + 2.16327i 0.253083 + 0.967445i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) 1.25538 + 3.36582i 0.474491 + 1.27216i 0.925197 + 0.379487i \(0.123899\pi\)
−0.450706 + 0.892672i \(0.648828\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 0.540059 2.16987i 0.170782 0.686173i
\(11\) 0.643696 2.19223i 0.194082 0.660981i −0.803738 0.594983i \(-0.797159\pi\)
0.997820 0.0659979i \(-0.0210231\pi\)
\(12\) −0.479249 0.877679i −0.138347 0.253364i
\(13\) 2.56028 + 0.954935i 0.710094 + 0.264851i 0.678449 0.734648i \(-0.262653\pi\)
0.0316453 + 0.999499i \(0.489925\pi\)
\(14\) 0.511239 3.55575i 0.136634 0.950314i
\(15\) −0.410142 2.19813i −0.105898 0.567555i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 0.483874 0.105260i 0.117357 0.0255294i −0.153503 0.988148i \(-0.549056\pi\)
0.270860 + 0.962619i \(0.412692\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) −2.66297 + 1.71139i −0.610927 + 0.392619i −0.809205 0.587527i \(-0.800102\pi\)
0.198278 + 0.980146i \(0.436465\pi\)
\(20\) −1.51391 + 1.64563i −0.338520 + 0.367973i
\(21\) −1.01207 3.44680i −0.220852 0.752153i
\(22\) −1.61558 + 1.61558i −0.344443 + 0.344443i
\(23\) −3.80423 + 2.92025i −0.793236 + 0.608914i
\(24\) 1.00000i 0.204124i
\(25\) −4.35949 + 2.44843i −0.871898 + 0.489687i
\(26\) −1.78945 2.06514i −0.350940 0.405007i
\(27\) −0.977147 0.212565i −0.188052 0.0409082i
\(28\) −2.15279 + 2.87579i −0.406840 + 0.543474i
\(29\) 1.40781 2.19060i 0.261425 0.406785i −0.685584 0.727994i \(-0.740453\pi\)
0.947008 + 0.321209i \(0.104089\pi\)
\(30\) −0.693479 + 2.12581i −0.126611 + 0.388119i
\(31\) −2.17981 + 2.51564i −0.391506 + 0.451822i −0.916948 0.399007i \(-0.869355\pi\)
0.525441 + 0.850830i \(0.323900\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −0.798447 + 2.14072i −0.138992 + 0.372651i
\(34\) −0.475132 0.139511i −0.0814845 0.0239260i
\(35\) −6.57074 + 4.62049i −1.11066 + 0.781005i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 2.70205 + 3.60952i 0.444215 + 0.593401i 0.965636 0.259898i \(-0.0836890\pi\)
−0.521421 + 0.853299i \(0.674598\pi\)
\(38\) 3.15741 0.225823i 0.512200 0.0366333i
\(39\) −2.48563 1.13515i −0.398020 0.181770i
\(40\) 2.11739 0.718794i 0.334789 0.113651i
\(41\) −1.05283 7.32257i −0.164424 1.14359i −0.890169 0.455630i \(-0.849414\pi\)
0.725746 0.687963i \(-0.241495\pi\)
\(42\) −0.763601 + 3.51022i −0.117826 + 0.541638i
\(43\) −0.0953980 + 1.33384i −0.0145481 + 0.203408i 0.984979 + 0.172672i \(0.0552399\pi\)
−0.999528 + 0.0307369i \(0.990215\pi\)
\(44\) 2.19223 0.643696i 0.330491 0.0970408i
\(45\) 0.252284 + 2.22179i 0.0376083 + 0.331205i
\(46\) 4.73842 0.739870i 0.698641 0.109088i
\(47\) 6.96281 + 6.96281i 1.01563 + 1.01563i 0.999876 + 0.0157550i \(0.00501518\pi\)
0.0157550 + 0.999876i \(0.494985\pi\)
\(48\) 0.479249 0.877679i 0.0691736 0.126682i
\(49\) −4.46248 + 3.86676i −0.637498 + 0.552395i
\(50\) 4.99964 0.0596573i 0.707056 0.00843681i
\(51\) −0.490151 + 0.0704730i −0.0686348 + 0.00986820i
\(52\) 0.580849 + 2.67012i 0.0805493 + 0.370279i
\(53\) −3.48357 + 1.29930i −0.478505 + 0.178473i −0.577131 0.816651i \(-0.695828\pi\)
0.0986263 + 0.995125i \(0.468555\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) 5.10666 + 0.151886i 0.688581 + 0.0204803i
\(56\) 3.26768 1.49230i 0.436662 0.199417i
\(57\) 2.77827 1.51705i 0.367991 0.200938i
\(58\) −2.28545 + 1.24795i −0.300095 + 0.163864i
\(59\) 1.75019 0.799287i 0.227856 0.104058i −0.298216 0.954498i \(-0.596392\pi\)
0.526072 + 0.850440i \(0.323664\pi\)
\(60\) 1.62745 1.53343i 0.210102 0.197965i
\(61\) 6.99406 + 6.06038i 0.895497 + 0.775953i 0.975306 0.220857i \(-0.0708856\pi\)
−0.0798089 + 0.996810i \(0.525431\pi\)
\(62\) 3.11880 1.16325i 0.396087 0.147733i
\(63\) 0.763601 + 3.51022i 0.0962047 + 0.442246i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −0.616896 + 6.07899i −0.0765166 + 0.754006i
\(66\) 1.72672 1.49621i 0.212544 0.184171i
\(67\) −3.79946 + 6.95819i −0.464178 + 0.850079i 0.535805 + 0.844341i \(0.320008\pi\)
−0.999984 + 0.00573723i \(0.998174\pi\)
\(68\) 0.350153 + 0.350153i 0.0424623 + 0.0424623i
\(69\) 4.00286 2.64142i 0.481888 0.317989i
\(70\) 7.98137 0.906283i 0.953956 0.108322i
\(71\) −8.39210 + 2.46414i −0.995959 + 0.292440i −0.738797 0.673928i \(-0.764606\pi\)
−0.257163 + 0.966368i \(0.582788\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) −2.60192 + 11.9608i −0.304532 + 1.39991i 0.529555 + 0.848276i \(0.322359\pi\)
−0.834087 + 0.551634i \(0.814005\pi\)
\(74\) −0.641676 4.46295i −0.0745933 0.518808i
\(75\) 4.52305 2.13119i 0.522277 0.246089i
\(76\) −2.87942 1.31499i −0.330292 0.150839i
\(77\) 8.18672 0.585526i 0.932963 0.0667268i
\(78\) 1.63757 + 2.18753i 0.185418 + 0.247690i
\(79\) −3.20130 7.00988i −0.360175 0.788673i −0.999800 0.0199862i \(-0.993638\pi\)
0.639625 0.768687i \(-0.279090\pi\)
\(80\) −2.20287 0.383886i −0.246288 0.0429197i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −2.58529 + 6.93143i −0.285497 + 0.765448i
\(83\) −2.35691 + 1.76436i −0.258704 + 0.193663i −0.720755 0.693190i \(-0.756205\pi\)
0.462051 + 0.886853i \(0.347114\pi\)
\(84\) 2.35246 2.71489i 0.256675 0.296219i
\(85\) 0.501536 + 0.987184i 0.0543993 + 0.107075i
\(86\) 0.722970 1.12496i 0.0779598 0.121308i
\(87\) −1.56050 + 2.08459i −0.167304 + 0.223491i
\(88\) −2.23256 0.485664i −0.237992 0.0517720i
\(89\) −10.3008 11.8878i −1.09188 1.26010i −0.963308 0.268399i \(-0.913505\pi\)
−0.128574 0.991700i \(-0.541040\pi\)
\(90\) 0.843366 2.07093i 0.0888986 0.218295i
\(91\) 9.81624i 1.02902i
\(92\) −4.51339 1.62151i −0.470554 0.169054i
\(93\) 2.35372 2.35372i 0.244070 0.244070i
\(94\) −2.77419 9.44804i −0.286136 0.974491i
\(95\) −5.20920 4.79224i −0.534452 0.491673i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) 12.4769 + 9.34012i 1.26684 + 0.948345i 0.999882 0.0153629i \(-0.00489036\pi\)
0.266959 + 0.963708i \(0.413981\pi\)
\(98\) 5.76977 1.25514i 0.582835 0.126788i
\(99\) 0.949130 2.07830i 0.0953912 0.208878i
\(100\) −4.41667 2.34371i −0.441667 0.234371i
\(101\) 0.146100 1.01615i 0.0145375 0.101111i −0.981261 0.192684i \(-0.938281\pi\)
0.995798 + 0.0915738i \(0.0291898\pi\)
\(102\) 0.463969 + 0.173052i 0.0459398 + 0.0171347i
\(103\) −5.89348 10.7931i −0.580702 1.06348i −0.988617 0.150456i \(-0.951926\pi\)
0.407915 0.913020i \(-0.366256\pi\)
\(104\) 0.769854 2.62188i 0.0754904 0.257097i
\(105\) 6.88362 4.13996i 0.671773 0.404019i
\(106\) 3.68014 + 0.529125i 0.357447 + 0.0513932i
\(107\) −0.00344790 0.0482080i −0.000333321 0.00466044i 0.997283 0.0736692i \(-0.0234709\pi\)
−0.997616 + 0.0690088i \(0.978016\pi\)
\(108\) −0.349464 0.936950i −0.0336272 0.0901580i
\(109\) 5.20839 + 3.34723i 0.498873 + 0.320606i 0.765765 0.643120i \(-0.222360\pi\)
−0.266892 + 0.963726i \(0.585997\pi\)
\(110\) −4.40921 2.58067i −0.420402 0.246057i
\(111\) −2.43767 3.79308i −0.231373 0.360024i
\(112\) −3.58316 0.256273i −0.338577 0.0242155i
\(113\) −3.67817 2.00843i −0.346013 0.188937i 0.296840 0.954927i \(-0.404067\pi\)
−0.642852 + 0.765990i \(0.722249\pi\)
\(114\) −3.16548 −0.296474
\(115\) −8.47014 6.57698i −0.789845 0.613306i
\(116\) 2.60397 0.241773
\(117\) 2.39832 + 1.30958i 0.221725 + 0.121071i
\(118\) −1.91917 0.137262i −0.176674 0.0126359i
\(119\) 0.961736 + 1.49649i 0.0881622 + 0.137183i
\(120\) −2.16327 + 0.565910i −0.197479 + 0.0516603i
\(121\) 4.86228 + 3.12480i 0.442025 + 0.284072i
\(122\) −3.23410 8.67097i −0.292802 0.785032i
\(123\) 0.527758 + 7.37902i 0.0475863 + 0.665344i
\(124\) −3.29479 0.473719i −0.295881 0.0425412i
\(125\) −7.76371 8.04517i −0.694407 0.719582i
\(126\) 1.01207 3.44680i 0.0901625 0.307065i
\(127\) −2.07191 3.79441i −0.183852 0.336700i 0.769456 0.638700i \(-0.220527\pi\)
−0.953308 + 0.302000i \(0.902346\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 0.190310 1.32363i 0.0167559 0.116540i
\(130\) 3.45479 5.03975i 0.303005 0.442016i
\(131\) −6.59436 + 14.4396i −0.576152 + 1.26160i 0.367305 + 0.930101i \(0.380280\pi\)
−0.943457 + 0.331496i \(0.892447\pi\)
\(132\) −2.23256 + 0.485664i −0.194320 + 0.0422716i
\(133\) −9.10326 6.81462i −0.789353 0.590902i
\(134\) 6.66941 4.28617i 0.576150 0.370269i
\(135\) −0.0931406 2.23413i −0.00801626 0.192283i
\(136\) −0.139511 0.475132i −0.0119630 0.0407423i
\(137\) 7.99322 7.99322i 0.682907 0.682907i −0.277747 0.960654i \(-0.589588\pi\)
0.960654 + 0.277747i \(0.0895878\pi\)
\(138\) −4.77913 + 0.399950i −0.406826 + 0.0340460i
\(139\) 17.9085i 1.51898i −0.650519 0.759490i \(-0.725449\pi\)
0.650519 0.759490i \(-0.274551\pi\)
\(140\) −7.43941 3.02964i −0.628745 0.256051i
\(141\) −6.44835 7.44180i −0.543049 0.626712i
\(142\) 8.54651 + 1.85918i 0.717207 + 0.156019i
\(143\) 3.74147 4.99803i 0.312878 0.417956i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) 5.53556 + 1.80580i 0.459704 + 0.149964i
\(146\) 8.01587 9.25080i 0.663398 0.765602i
\(147\) 4.72697 3.53856i 0.389874 0.291856i
\(148\) −1.57568 + 4.22456i −0.129520 + 0.347257i
\(149\) 21.5708 + 6.33375i 1.76715 + 0.518881i 0.993409 0.114626i \(-0.0365671\pi\)
0.773737 + 0.633507i \(0.218385\pi\)
\(150\) −4.99116 0.297165i −0.407527 0.0242634i
\(151\) 5.23075 + 11.4537i 0.425672 + 0.932093i 0.994009 + 0.109297i \(0.0348598\pi\)
−0.568337 + 0.822796i \(0.692413\pi\)
\(152\) 1.89700 + 2.53410i 0.153867 + 0.205542i
\(153\) 0.493929 0.0353265i 0.0399318 0.00285598i
\(154\) −7.46592 3.40957i −0.601621 0.274751i
\(155\) −6.67559 3.29191i −0.536197 0.264412i
\(156\) −0.388885 2.70476i −0.0311357 0.216554i
\(157\) −0.423291 + 1.94584i −0.0337823 + 0.155295i −0.990948 0.134246i \(-0.957139\pi\)
0.957166 + 0.289541i \(0.0935025\pi\)
\(158\) −0.549760 + 7.68665i −0.0437365 + 0.611517i
\(159\) 3.56738 1.04748i 0.282912 0.0830704i
\(160\) 1.74943 + 1.39265i 0.138305 + 0.110099i
\(161\) −14.6048 9.13829i −1.15102 0.720198i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 0.657305 1.20376i 0.0514841 0.0942861i −0.850670 0.525700i \(-0.823803\pi\)
0.902154 + 0.431414i \(0.141985\pi\)
\(164\) 5.59093 4.84457i 0.436579 0.378298i
\(165\) −5.08281 0.515804i −0.395696 0.0401553i
\(166\) 2.91417 0.418995i 0.226184 0.0325203i
\(167\) −0.920977 4.23366i −0.0712673 0.327611i 0.927686 0.373363i \(-0.121795\pi\)
−0.998953 + 0.0457520i \(0.985432\pi\)
\(168\) −3.36582 + 1.25538i −0.259678 + 0.0968550i
\(169\) −4.18161 3.62339i −0.321662 0.278722i
\(170\) 0.0329191 1.10679i 0.00252478 0.0848870i
\(171\) −2.87942 + 1.31499i −0.220195 + 0.100560i
\(172\) −1.17367 + 0.640874i −0.0894917 + 0.0488662i
\(173\) 13.0789 7.14162i 0.994370 0.542967i 0.102247 0.994759i \(-0.467397\pi\)
0.892123 + 0.451792i \(0.149215\pi\)
\(174\) 2.36866 1.08173i 0.179567 0.0820057i
\(175\) −13.7138 11.5995i −1.03667 0.876842i
\(176\) 1.72672 + 1.49621i 0.130156 + 0.112781i
\(177\) −1.80276 + 0.672393i −0.135503 + 0.0505402i
\(178\) 3.34360 + 15.3703i 0.250613 + 1.15205i
\(179\) −13.7258 + 1.97347i −1.02591 + 0.147504i −0.634670 0.772783i \(-0.718864\pi\)
−0.391244 + 0.920287i \(0.627955\pi\)
\(180\) −1.73269 + 1.41343i −0.129147 + 0.105351i
\(181\) 14.8467 12.8647i 1.10355 0.956229i 0.104281 0.994548i \(-0.466746\pi\)
0.999266 + 0.0383190i \(0.0122003\pi\)
\(182\) 4.70443 8.61551i 0.348715 0.638624i
\(183\) −6.54389 6.54389i −0.483739 0.483739i
\(184\) 3.18420 + 3.58621i 0.234742 + 0.264379i
\(185\) −6.27925 + 7.88794i −0.461660 + 0.579933i
\(186\) −3.19384 + 0.937795i −0.234183 + 0.0687624i
\(187\) 0.0807132 1.12852i 0.00590233 0.0825254i
\(188\) −2.09311 + 9.62187i −0.152656 + 0.701747i
\(189\) −0.511239 3.55575i −0.0371872 0.258643i
\(190\) 2.27533 + 6.70255i 0.165070 + 0.486254i
\(191\) 18.7050 + 8.54228i 1.35345 + 0.618098i 0.954317 0.298797i \(-0.0965853\pi\)
0.399129 + 0.916895i \(0.369313\pi\)
\(192\) 0.997452 0.0713392i 0.0719849 0.00514846i
\(193\) −9.48039 12.6643i −0.682414 0.911598i 0.316907 0.948457i \(-0.397356\pi\)
−0.999320 + 0.0368588i \(0.988265\pi\)
\(194\) −6.47450 14.1772i −0.464842 1.01786i
\(195\) 1.04899 6.01949i 0.0751201 0.431065i
\(196\) −5.66553 1.66355i −0.404681 0.118825i
\(197\) −3.26281 + 8.74793i −0.232466 + 0.623264i −0.999839 0.0179360i \(-0.994290\pi\)
0.767374 + 0.641200i \(0.221563\pi\)
\(198\) −1.82906 + 1.36921i −0.129985 + 0.0973059i
\(199\) 8.62482 9.95357i 0.611397 0.705590i −0.362653 0.931924i \(-0.618129\pi\)
0.974050 + 0.226335i \(0.0726743\pi\)
\(200\) 2.75320 + 4.17372i 0.194681 + 0.295126i
\(201\) 4.28617 6.66941i 0.302323 0.470424i
\(202\) −0.615217 + 0.821834i −0.0432865 + 0.0578240i
\(203\) 9.14051 + 1.98840i 0.641538 + 0.139558i
\(204\) −0.324281 0.374240i −0.0227042 0.0262021i
\(205\) 15.2449 6.42146i 1.06475 0.448494i
\(206\) 12.2973i 0.856795i
\(207\) −4.18110 + 2.34913i −0.290607 + 0.163276i
\(208\) −1.93222 + 1.93222i −0.133975 + 0.133975i
\(209\) 2.03760 + 6.93944i 0.140944 + 0.480011i
\(210\) −8.02568 + 0.334590i −0.553825 + 0.0230889i
\(211\) −12.1531 + 7.81033i −0.836655 + 0.537686i −0.887386 0.461027i \(-0.847481\pi\)
0.0507312 + 0.998712i \(0.483845\pi\)
\(212\) −2.97640 2.22811i −0.204420 0.153027i
\(213\) 8.54651 1.85918i 0.585597 0.127389i
\(214\) −0.0200775 + 0.0439635i −0.00137247 + 0.00300528i
\(215\) −2.93944 + 0.548461i −0.200468 + 0.0374047i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −11.2037 4.17876i −0.760556 0.283673i
\(218\) −2.96714 5.43391i −0.200960 0.368031i
\(219\) 3.44857 11.7447i 0.233032 0.793636i
\(220\) 2.63309 + 4.37811i 0.177523 + 0.295172i
\(221\) 1.33937 + 0.192572i 0.0900958 + 0.0129538i
\(222\) 0.321658 + 4.49736i 0.0215882 + 0.301843i
\(223\) −5.37891 14.4214i −0.360199 0.965730i −0.983042 0.183383i \(-0.941295\pi\)
0.622843 0.782347i \(-0.285978\pi\)
\(224\) 3.02205 + 1.94215i 0.201919 + 0.129765i
\(225\) −4.66357 + 1.80309i −0.310904 + 0.120206i
\(226\) 2.26571 + 3.52551i 0.150713 + 0.234514i
\(227\) −18.0623 1.29184i −1.19884 0.0857425i −0.542398 0.840122i \(-0.682484\pi\)
−0.656439 + 0.754379i \(0.727938\pi\)
\(228\) 2.77827 + 1.51705i 0.183996 + 0.100469i
\(229\) 21.1307 1.39635 0.698177 0.715925i \(-0.253995\pi\)
0.698177 + 0.715925i \(0.253995\pi\)
\(230\) 4.28206 + 9.83178i 0.282351 + 0.648289i
\(231\) −8.20763 −0.540022
\(232\) −2.28545 1.24795i −0.150047 0.0819320i
\(233\) 8.89259 + 0.636010i 0.582573 + 0.0416664i 0.359516 0.933139i \(-0.382942\pi\)
0.223057 + 0.974805i \(0.428396\pi\)
\(234\) −1.47734 2.29878i −0.0965766 0.150276i
\(235\) −11.1221 + 19.0028i −0.725528 + 1.23961i
\(236\) 1.61863 + 1.04023i 0.105364 + 0.0677132i
\(237\) 2.69307 + 7.22040i 0.174934 + 0.469015i
\(238\) −0.126904 1.77435i −0.00822596 0.115014i
\(239\) −6.86359 0.986835i −0.443969 0.0638331i −0.0832947 0.996525i \(-0.526544\pi\)
−0.360674 + 0.932692i \(0.617453\pi\)
\(240\) 2.16987 + 0.540059i 0.140065 + 0.0348606i
\(241\) 5.78554 19.7038i 0.372680 1.26923i −0.533306 0.845922i \(-0.679051\pi\)
0.905986 0.423308i \(-0.139131\pi\)
\(242\) −2.76996 5.07281i −0.178060 0.326093i
\(243\) −0.936950 0.349464i −0.0601054 0.0224181i
\(244\) −1.31705 + 9.16027i −0.0843153 + 0.586426i
\(245\) −10.8902 7.46533i −0.695751 0.476942i
\(246\) 3.07318 6.72934i 0.195939 0.429047i
\(247\) −8.45221 + 1.83867i −0.537801 + 0.116992i
\(248\) 2.66474 + 1.99480i 0.169211 + 0.126670i
\(249\) 2.47677 1.59172i 0.156959 0.100871i
\(250\) 2.95840 + 10.7818i 0.187106 + 0.681903i
\(251\) 8.35690 + 28.4610i 0.527483 + 1.79644i 0.601123 + 0.799156i \(0.294720\pi\)
−0.0736408 + 0.997285i \(0.523462\pi\)
\(252\) −2.54015 + 2.54015i −0.160014 + 0.160014i
\(253\) 3.95308 + 10.2195i 0.248528 + 0.642493i
\(254\) 4.32323i 0.271264i
\(255\) −0.429834 1.02045i −0.0269172 0.0639029i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 2.90549 + 0.632050i 0.181239 + 0.0394262i 0.302269 0.953223i \(-0.402256\pi\)
−0.121030 + 0.992649i \(0.538620\pi\)
\(258\) −0.801382 + 1.07052i −0.0498918 + 0.0666477i
\(259\) −8.75686 + 13.6259i −0.544125 + 0.846675i
\(260\) −5.44749 + 2.76758i −0.337839 + 0.171638i
\(261\) 1.70524 1.96795i 0.105552 0.121813i
\(262\) 12.7079 9.51302i 0.785097 0.587716i
\(263\) 7.26378 19.4750i 0.447904 1.20088i −0.495317 0.868712i \(-0.664948\pi\)
0.943221 0.332165i \(-0.107779\pi\)
\(264\) 2.19223 + 0.643696i 0.134922 + 0.0396167i
\(265\) −4.78213 6.80062i −0.293764 0.417759i
\(266\) 4.72385 + 10.3438i 0.289638 + 0.634218i
\(267\) 9.42649 + 12.5923i 0.576892 + 0.770637i
\(268\) −7.90775 + 0.565573i −0.483043 + 0.0345479i
\(269\) 12.3089 + 5.62127i 0.750484 + 0.342735i 0.753664 0.657260i \(-0.228285\pi\)
−0.00317946 + 0.999995i \(0.501012\pi\)
\(270\) −0.988956 + 2.00548i −0.0601859 + 0.122050i
\(271\) −1.77814 12.3672i −0.108014 0.751254i −0.969786 0.243958i \(-0.921554\pi\)
0.861772 0.507296i \(-0.169355\pi\)
\(272\) −0.105260 + 0.483874i −0.00638235 + 0.0293392i
\(273\) 0.700283 9.79123i 0.0423830 0.592592i
\(274\) −10.8462 + 3.18474i −0.655244 + 0.192397i
\(275\) 2.56134 + 11.1330i 0.154454 + 0.671347i
\(276\) 4.38621 + 1.93936i 0.264019 + 0.116736i
\(277\) 0.832642 + 0.832642i 0.0500286 + 0.0500286i 0.731679 0.681650i \(-0.238737\pi\)
−0.681650 + 0.731679i \(0.738737\pi\)
\(278\) −8.58263 + 15.7179i −0.514752 + 0.942698i
\(279\) −2.51564 + 2.17981i −0.150607 + 0.130502i
\(280\) 5.07747 + 6.22438i 0.303437 + 0.371978i
\(281\) 31.3060 4.50112i 1.86756 0.268514i 0.886571 0.462593i \(-0.153081\pi\)
0.980986 + 0.194079i \(0.0621719\pi\)
\(282\) 2.09311 + 9.62187i 0.124643 + 0.572974i
\(283\) 22.3580 8.33911i 1.32905 0.495709i 0.418163 0.908372i \(-0.362674\pi\)
0.910884 + 0.412663i \(0.135401\pi\)
\(284\) −6.61008 5.72767i −0.392236 0.339875i
\(285\) 4.85405 + 5.15165i 0.287529 + 0.305157i
\(286\) −5.67911 + 2.59356i −0.335813 + 0.153361i
\(287\) 23.3247 12.7363i 1.37681 0.751798i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) −15.2407 + 6.96019i −0.896511 + 0.409423i
\(290\) −3.99302 4.23783i −0.234478 0.248854i
\(291\) −11.7788 10.2064i −0.690487 0.598310i
\(292\) −11.4688 + 4.27764i −0.671160 + 0.250330i
\(293\) 0.703753 + 3.23510i 0.0411137 + 0.188997i 0.993124 0.117071i \(-0.0373504\pi\)
−0.952010 + 0.306067i \(0.900987\pi\)
\(294\) −5.84461 + 0.840328i −0.340865 + 0.0490089i
\(295\) 2.71953 + 3.33382i 0.158337 + 0.194103i
\(296\) 3.40756 2.95267i 0.198060 0.171620i
\(297\) −1.09498 + 2.00530i −0.0635370 + 0.116359i
\(298\) −15.8968 15.8968i −0.920875 0.920875i
\(299\) −12.5285 + 3.84387i −0.724544 + 0.222297i
\(300\) 4.23822 + 2.65282i 0.244694 + 0.153161i
\(301\) −4.60922 + 1.35339i −0.265671 + 0.0780080i
\(302\) 0.898276 12.5595i 0.0516900 0.722721i
\(303\) −0.218219 + 1.00314i −0.0125364 + 0.0576287i
\(304\) −0.450495 3.13326i −0.0258376 0.179705i
\(305\) −9.15225 + 18.5597i −0.524057 + 1.06272i
\(306\) −0.450442 0.205710i −0.0257500 0.0117596i
\(307\) 30.4613 2.17863i 1.73852 0.124341i 0.834271 0.551355i \(-0.185889\pi\)
0.904245 + 0.427014i \(0.140435\pi\)
\(308\) 4.91865 + 6.57055i 0.280266 + 0.374392i
\(309\) 5.10849 + 11.1860i 0.290612 + 0.636351i
\(310\) 4.28139 + 6.08851i 0.243166 + 0.345804i
\(311\) 27.5193 + 8.08040i 1.56048 + 0.458198i 0.944211 0.329340i \(-0.106826\pi\)
0.616267 + 0.787538i \(0.288644\pi\)
\(312\) −0.954935 + 2.56028i −0.0540626 + 0.144947i
\(313\) −4.71886 + 3.53249i −0.266726 + 0.199668i −0.724266 0.689520i \(-0.757821\pi\)
0.457541 + 0.889189i \(0.348730\pi\)
\(314\) 1.30405 1.50496i 0.0735921 0.0849298i
\(315\) −7.16143 + 3.63834i −0.403501 + 0.204997i
\(316\) 4.16633 6.48294i 0.234374 0.364694i
\(317\) −7.92341 + 10.5844i −0.445023 + 0.594481i −0.965825 0.259197i \(-0.916542\pi\)
0.520802 + 0.853678i \(0.325633\pi\)
\(318\) −3.63302 0.790315i −0.203730 0.0443187i
\(319\) −3.89609 4.49633i −0.218139 0.251746i
\(320\) −0.868016 2.06072i −0.0485235 0.115198i
\(321\) 0.0483311i 0.00269758i
\(322\) 8.43880 + 15.0198i 0.470276 + 0.837022i
\(323\) −1.10840 + 1.10840i −0.0616731 + 0.0616731i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −13.4996 + 2.10565i −0.748824 + 0.116800i
\(326\) −1.15381 + 0.741506i −0.0639034 + 0.0410682i
\(327\) −4.95633 3.71026i −0.274086 0.205178i
\(328\) −7.22880 + 1.57253i −0.399144 + 0.0868284i
\(329\) −14.6945 + 32.1766i −0.810137 + 1.77395i
\(330\) 4.21388 + 2.88864i 0.231966 + 0.159014i
\(331\) 0.661737 4.60248i 0.0363724 0.252975i −0.963520 0.267636i \(-0.913758\pi\)
0.999893 + 0.0146603i \(0.00466670\pi\)
\(332\) −2.75851 1.02887i −0.151393 0.0564667i
\(333\) 2.16086 + 3.95732i 0.118414 + 0.216860i
\(334\) −1.22066 + 4.15717i −0.0667913 + 0.227470i
\(335\) −17.2026 4.28156i −0.939880 0.233926i
\(336\) 3.55575 + 0.511239i 0.193982 + 0.0278904i
\(337\) −1.57575 22.0319i −0.0858366 1.20015i −0.839674 0.543091i \(-0.817254\pi\)
0.753837 0.657061i \(-0.228201\pi\)
\(338\) 1.93361 + 5.18420i 0.105174 + 0.281983i
\(339\) 3.52551 + 2.26571i 0.191480 + 0.123056i
\(340\) −0.559321 + 0.955631i −0.0303334 + 0.0518264i
\(341\) 4.11172 + 6.39795i 0.222662 + 0.346469i
\(342\) 3.15741 + 0.225823i 0.170733 + 0.0122111i
\(343\) 3.45333 + 1.88566i 0.186462 + 0.101816i
\(344\) 1.33725 0.0720995
\(345\) 7.97937 + 7.16447i 0.429595 + 0.385722i
\(346\) −14.9017 −0.801119
\(347\) 2.25716 + 1.23250i 0.121171 + 0.0661642i 0.538691 0.842503i \(-0.318919\pi\)
−0.417520 + 0.908668i \(0.637101\pi\)
\(348\) −2.59734 0.185765i −0.139232 0.00995807i
\(349\) −3.11855 4.85256i −0.166932 0.259751i 0.747702 0.664035i \(-0.231157\pi\)
−0.914634 + 0.404283i \(0.867521\pi\)
\(350\) 6.47727 + 16.7530i 0.346225 + 0.895485i
\(351\) −2.29878 1.47734i −0.122700 0.0788545i
\(352\) −0.798447 2.14072i −0.0425574 0.114101i
\(353\) −0.0567029 0.792810i −0.00301799 0.0421970i 0.995720 0.0924217i \(-0.0294608\pi\)
−0.998738 + 0.0502247i \(0.984006\pi\)
\(354\) 1.90448 + 0.273824i 0.101222 + 0.0145536i
\(355\) −10.0798 16.7599i −0.534980 0.889524i
\(356\) 4.43158 15.0926i 0.234873 0.799905i
\(357\) −0.852527 1.56129i −0.0451205 0.0826321i
\(358\) 12.9926 + 4.84600i 0.686681 + 0.256119i
\(359\) −2.80497 + 19.5090i −0.148041 + 1.02965i 0.771381 + 0.636373i \(0.219566\pi\)
−0.919422 + 0.393272i \(0.871343\pi\)
\(360\) 2.19813 0.410142i 0.115852 0.0216164i
\(361\) −3.73032 + 8.16827i −0.196333 + 0.429909i
\(362\) −19.1961 + 4.17585i −1.00892 + 0.219478i
\(363\) −4.62697 3.46371i −0.242853 0.181797i
\(364\) −8.25795 + 5.30706i −0.432834 + 0.278166i
\(365\) −27.3470 + 1.14009i −1.43141 + 0.0596752i
\(366\) 2.60728 + 8.87959i 0.136285 + 0.464144i
\(367\) 11.2742 11.2742i 0.588511 0.588511i −0.348717 0.937228i \(-0.613383\pi\)
0.937228 + 0.348717i \(0.113383\pi\)
\(368\) −1.07602 4.67356i −0.0560914 0.243626i
\(369\) 7.39787i 0.385118i
\(370\) 9.29145 3.91375i 0.483040 0.203466i
\(371\) −8.74644 10.0939i −0.454092 0.524050i
\(372\) 3.25260 + 0.707560i 0.168639 + 0.0366853i
\(373\) 6.77994 9.05693i 0.351052 0.468950i −0.589907 0.807471i \(-0.700836\pi\)
0.940959 + 0.338521i \(0.109927\pi\)
\(374\) −0.611681 + 0.951795i −0.0316293 + 0.0492161i
\(375\) 7.16999 + 8.57853i 0.370257 + 0.442993i
\(376\) 6.44835 7.44180i 0.332548 0.383781i
\(377\) 5.69628 4.26418i 0.293373 0.219617i
\(378\) −1.25538 + 3.36582i −0.0645700 + 0.173119i
\(379\) 28.9637 + 8.50452i 1.48777 + 0.436848i 0.921828 0.387599i \(-0.126696\pi\)
0.565939 + 0.824447i \(0.308514\pi\)
\(380\) 1.21518 6.97313i 0.0623375 0.357714i
\(381\) 1.79594 + 3.93255i 0.0920086 + 0.201471i
\(382\) −12.3231 16.4617i −0.630505 0.842256i
\(383\) −30.5319 + 2.18368i −1.56011 + 0.111581i −0.824514 0.565842i \(-0.808551\pi\)
−0.735593 + 0.677423i \(0.763097\pi\)
\(384\) −0.909632 0.415415i −0.0464195 0.0211991i
\(385\) 5.89960 + 17.3787i 0.300671 + 0.885703i
\(386\) 2.25138 + 15.6587i 0.114592 + 0.797006i
\(387\) −0.284252 + 1.30669i −0.0144493 + 0.0664226i
\(388\) −1.11187 + 15.5459i −0.0564464 + 0.789224i
\(389\) −24.0331 + 7.05676i −1.21853 + 0.357792i −0.826909 0.562336i \(-0.809903\pi\)
−0.391618 + 0.920128i \(0.628085\pi\)
\(390\) −3.80552 + 4.78045i −0.192700 + 0.242068i
\(391\) −1.53338 + 1.81347i −0.0775464 + 0.0917111i
\(392\) 4.17526 + 4.17526i 0.210883 + 0.210883i
\(393\) 7.60767 13.9324i 0.383756 0.702797i
\(394\) 7.05614 6.11418i 0.355483 0.308028i
\(395\) 13.3526 10.8923i 0.671844 0.548049i
\(396\) 2.26152 0.325157i 0.113646 0.0163398i
\(397\) 7.27853 + 33.4589i 0.365299 + 1.67925i 0.682494 + 0.730891i \(0.260895\pi\)
−0.317195 + 0.948360i \(0.602741\pi\)
\(398\) −12.3401 + 4.60260i −0.618551 + 0.230708i
\(399\) 8.59392 + 7.44668i 0.430234 + 0.372800i
\(400\) −0.416176 4.98265i −0.0208088 0.249132i
\(401\) 5.51453 2.51840i 0.275382 0.125763i −0.272937 0.962032i \(-0.587995\pi\)
0.548319 + 0.836269i \(0.315268\pi\)
\(402\) −6.95819 + 3.79946i −0.347043 + 0.189500i
\(403\) −7.98321 + 4.35916i −0.397672 + 0.217145i
\(404\) 0.933826 0.426464i 0.0464596 0.0212174i
\(405\) −0.0664776 + 2.23508i −0.00330330 + 0.111062i
\(406\) −7.06950 6.12576i −0.350853 0.304016i
\(407\) 9.65218 3.60008i 0.478441 0.178449i
\(408\) 0.105260 + 0.483874i 0.00521117 + 0.0239554i
\(409\) 34.1575 4.91111i 1.68898 0.242839i 0.770255 0.637736i \(-0.220129\pi\)
0.918725 + 0.394897i \(0.129220\pi\)
\(410\) −16.4576 1.67012i −0.812783 0.0824813i
\(411\) −8.54309 + 7.40263i −0.421399 + 0.365145i
\(412\) 5.89348 10.7931i 0.290351 0.531738i
\(413\) 4.88742 + 4.88742i 0.240494 + 0.240494i
\(414\) 4.79548 0.0579925i 0.235685 0.00285017i
\(415\) −5.15058 4.10016i −0.252832 0.201269i
\(416\) 2.62188 0.769854i 0.128548 0.0377452i
\(417\) −1.27758 + 17.8629i −0.0625633 + 0.874749i
\(418\) 1.53736 7.06712i 0.0751947 0.345664i
\(419\) −4.37719 30.4440i −0.213840 1.48729i −0.760173 0.649721i \(-0.774886\pi\)
0.546333 0.837568i \(-0.316023\pi\)
\(420\) 7.20433 + 3.55264i 0.351535 + 0.173351i
\(421\) 28.3405 + 12.9427i 1.38123 + 0.630788i 0.960980 0.276619i \(-0.0892138\pi\)
0.420254 + 0.907407i \(0.361941\pi\)
\(422\) 14.4096 1.03060i 0.701450 0.0501687i
\(423\) 5.90103 + 7.88285i 0.286918 + 0.383278i
\(424\) 1.54451 + 3.38200i 0.0750079 + 0.164244i
\(425\) −1.85172 + 1.64362i −0.0898218 + 0.0797271i
\(426\) −8.39210 2.46414i −0.406599 0.119388i
\(427\) −11.6179 + 31.1488i −0.562230 + 1.50740i
\(428\) 0.0386910 0.0289638i 0.00187020 0.00140002i
\(429\) −4.08850 + 4.71838i −0.197395 + 0.227805i
\(430\) 2.84274 + 0.927352i 0.137089 + 0.0447209i
\(431\) 5.24188 8.15652i 0.252492 0.392886i −0.691750 0.722137i \(-0.743160\pi\)
0.944242 + 0.329251i \(0.106796\pi\)
\(432\) 0.599278 0.800541i 0.0288328 0.0385161i
\(433\) 3.81680 + 0.830294i 0.183424 + 0.0399014i 0.303339 0.952883i \(-0.401899\pi\)
−0.119915 + 0.992784i \(0.538262\pi\)
\(434\) 7.83058 + 9.03697i 0.375880 + 0.433788i
\(435\) −5.39264 2.19610i −0.258557 0.105295i
\(436\) 6.19122i 0.296506i
\(437\) 5.13286 14.2870i 0.245538 0.683442i
\(438\) −8.65539 + 8.65539i −0.413570 + 0.413570i
\(439\) −7.36099 25.0692i −0.351321 1.19649i −0.925814 0.377980i \(-0.876619\pi\)
0.574493 0.818510i \(-0.305199\pi\)
\(440\) −0.212805 5.10448i −0.0101451 0.243347i
\(441\) −4.96736 + 3.19233i −0.236541 + 0.152016i
\(442\) −1.08325 0.810909i −0.0515248 0.0385710i
\(443\) 38.9885 8.48143i 1.85240 0.402965i 0.858460 0.512881i \(-0.171422\pi\)
0.993941 + 0.109916i \(0.0350582\pi\)
\(444\) 1.87304 4.10139i 0.0888907 0.194643i
\(445\) 19.8871 29.0108i 0.942740 1.37524i
\(446\) −2.19049 + 15.2352i −0.103723 + 0.721409i
\(447\) −21.0640 7.85645i −0.996291 0.371597i
\(448\) −1.72161 3.15290i −0.0813385 0.148960i
\(449\) −7.02416 + 23.9221i −0.331491 + 1.12895i 0.610137 + 0.792296i \(0.291114\pi\)
−0.941627 + 0.336657i \(0.890704\pi\)
\(450\) 4.95725 + 0.652473i 0.233687 + 0.0307579i
\(451\) −16.7304 2.40547i −0.787805 0.113269i
\(452\) −0.298967 4.18011i −0.0140622 0.196616i
\(453\) −4.40032 11.7977i −0.206745 0.554305i
\(454\) 15.2338 + 9.79016i 0.714957 + 0.459475i
\(455\) −21.2352 + 5.55511i −0.995522 + 0.260428i
\(456\) −1.71139 2.66297i −0.0801430 0.124705i
\(457\) 0.556939 + 0.0398331i 0.0260525 + 0.00186331i 0.0843594 0.996435i \(-0.473116\pi\)
−0.0583068 + 0.998299i \(0.518570\pi\)
\(458\) −18.5460 10.1269i −0.866595 0.473197i
\(459\) −0.495191 −0.0231135
\(460\) 0.953601 10.6813i 0.0444619 0.498019i
\(461\) −22.5051 −1.04817 −0.524083 0.851667i \(-0.675592\pi\)
−0.524083 + 0.851667i \(0.675592\pi\)
\(462\) 7.20366 + 3.93350i 0.335145 + 0.183003i
\(463\) −22.4893 1.60847i −1.04517 0.0747518i −0.461819 0.886974i \(-0.652803\pi\)
−0.583348 + 0.812222i \(0.698258\pi\)
\(464\) 1.40781 + 2.19060i 0.0653561 + 0.101696i
\(465\) 6.42374 + 3.75975i 0.297894 + 0.174354i
\(466\) −7.50003 4.81998i −0.347432 0.223281i
\(467\) −3.16895 8.49627i −0.146641 0.393161i 0.842775 0.538266i \(-0.180921\pi\)
−0.989416 + 0.145106i \(0.953648\pi\)
\(468\) 0.194939 + 2.72561i 0.00901107 + 0.125991i
\(469\) −28.1898 4.05308i −1.30168 0.187154i
\(470\) 18.8687 11.3481i 0.870350 0.523448i
\(471\) 0.561027 1.91068i 0.0258508 0.0880396i
\(472\) −0.922108 1.68871i −0.0424435 0.0777294i
\(473\) 2.86267 + 1.06772i 0.131626 + 0.0490938i
\(474\) 1.09672 7.62784i 0.0503739 0.350358i
\(475\) 7.41898 13.9809i 0.340406 0.641487i
\(476\) −0.738974 + 1.61813i −0.0338708 + 0.0741668i
\(477\) −3.63302 + 0.790315i −0.166345 + 0.0361860i
\(478\) 5.55109 + 4.15549i 0.253901 + 0.190068i
\(479\) 3.76994 2.42279i 0.172253 0.110700i −0.451674 0.892183i \(-0.649173\pi\)
0.623926 + 0.781483i \(0.285536\pi\)
\(480\) −1.64563 1.51391i −0.0751122 0.0691000i
\(481\) 3.47115 + 11.8217i 0.158271 + 0.539021i
\(482\) −14.5209 + 14.5209i −0.661407 + 0.661407i
\(483\) 13.9157 + 10.1569i 0.633185 + 0.462155i
\(484\) 5.77980i 0.262718i
\(485\) −13.1444 + 32.2767i −0.596856 + 1.46561i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) 15.4624 + 3.36364i 0.700668 + 0.152421i 0.548768 0.835975i \(-0.315097\pi\)
0.151900 + 0.988396i \(0.451461\pi\)
\(488\) 5.54599 7.40858i 0.251055 0.335371i
\(489\) −0.741506 + 1.15381i −0.0335321 + 0.0521769i
\(490\) 5.98037 + 11.7713i 0.270166 + 0.531773i
\(491\) 0.398271 0.459629i 0.0179737 0.0207428i −0.746692 0.665170i \(-0.768359\pi\)
0.764665 + 0.644428i \(0.222904\pi\)
\(492\) −5.92230 + 4.43338i −0.266998 + 0.199872i
\(493\) 0.450622 1.20816i 0.0202950 0.0544129i
\(494\) 8.29951 + 2.43696i 0.373412 + 0.109644i
\(495\) 5.03306 + 0.877093i 0.226219 + 0.0394224i
\(496\) −1.38278 3.02786i −0.0620886 0.135955i
\(497\) −18.8292 25.1528i −0.844604 1.12826i
\(498\) −2.93664 + 0.210033i −0.131594 + 0.00941178i
\(499\) 22.2689 + 10.1698i 0.996891 + 0.455265i 0.845941 0.533277i \(-0.179040\pi\)
0.150950 + 0.988541i \(0.451767\pi\)
\(500\) 2.57065 10.8808i 0.114963 0.486604i
\(501\) 0.616604 + 4.28858i 0.0275478 + 0.191599i
\(502\) 6.30522 28.9846i 0.281416 1.29365i
\(503\) −1.83382 + 25.6402i −0.0817660 + 1.14324i 0.776529 + 0.630082i \(0.216979\pi\)
−0.858295 + 0.513157i \(0.828476\pi\)
\(504\) 3.44680 1.01207i 0.153533 0.0450812i
\(505\) 2.28088 0.258994i 0.101498 0.0115251i
\(506\) 1.42814 10.8639i 0.0634884 0.482961i
\(507\) 3.91247 + 3.91247i 0.173759 + 0.173759i
\(508\) 2.07191 3.79441i 0.0919259 0.168350i
\(509\) 0.310247 0.268831i 0.0137515 0.0119157i −0.647958 0.761676i \(-0.724377\pi\)
0.661709 + 0.749760i \(0.269831\pi\)
\(510\) −0.111793 + 1.10162i −0.00495027 + 0.0487807i
\(511\) −43.5244 + 6.25786i −1.92540 + 0.276831i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 2.96589 1.10622i 0.130947 0.0488409i
\(514\) −2.24718 1.94719i −0.0991187 0.0858868i
\(515\) 20.0132 18.8571i 0.881888 0.830944i
\(516\) 1.21640 0.555512i 0.0535491 0.0244551i
\(517\) 19.7460 10.7821i 0.868428 0.474198i
\(518\) 14.2159 7.76249i 0.624612 0.341064i
\(519\) −13.5550 + 6.19038i −0.595001 + 0.271728i
\(520\) 6.10751 + 0.181655i 0.267832 + 0.00796608i
\(521\) −29.0454 25.1680i −1.27250 1.10263i −0.989656 0.143464i \(-0.954176\pi\)
−0.282846 0.959165i \(-0.591279\pi\)
\(522\) −2.43979 + 0.909996i −0.106787 + 0.0398294i
\(523\) 4.94763 + 22.7439i 0.216345 + 0.994520i 0.949331 + 0.314277i \(0.101762\pi\)
−0.732987 + 0.680243i \(0.761874\pi\)
\(524\) −15.7126 + 2.25913i −0.686407 + 0.0986904i
\(525\) 12.8514 + 12.5483i 0.560880 + 0.547653i
\(526\) −15.7086 + 13.6116i −0.684928 + 0.593494i
\(527\) −0.789959 + 1.44670i −0.0344112 + 0.0630194i
\(528\) −1.61558 1.61558i −0.0703091 0.0703091i
\(529\) 5.94428 22.2186i 0.258447 0.966025i
\(530\) 0.937989 + 8.26059i 0.0407437 + 0.358817i
\(531\) 1.84613 0.542073i 0.0801152 0.0235240i
\(532\) 0.811226 11.3424i 0.0351711 0.491756i
\(533\) 4.29705 19.7532i 0.186126 0.855606i
\(534\) −2.23858 15.5696i −0.0968727 0.673764i
\(535\) 0.102336 0.0347401i 0.00442436 0.00150195i
\(536\) 7.21152 + 3.29339i 0.311490 + 0.142253i
\(537\) 13.8316 0.989256i 0.596878 0.0426895i
\(538\) −8.10924 10.8327i −0.349614 0.467030i
\(539\) 5.60434 + 12.2718i 0.241396 + 0.528583i
\(540\) 1.82911 1.28622i 0.0787124 0.0553499i
\(541\) 9.69543 + 2.84683i 0.416839 + 0.122395i 0.483425 0.875386i \(-0.339393\pi\)
−0.0665862 + 0.997781i \(0.521211\pi\)
\(542\) −4.36634 + 11.7066i −0.187550 + 0.502842i
\(543\) −15.7266 + 11.7728i −0.674895 + 0.505220i
\(544\) 0.324281 0.374240i 0.0139034 0.0160454i
\(545\) −4.29349 + 13.1614i −0.183913 + 0.563772i
\(546\) −5.30706 + 8.25795i −0.227121 + 0.353408i
\(547\) −10.4406 + 13.9470i −0.446407 + 0.596330i −0.966146 0.257995i \(-0.916938\pi\)
0.519739 + 0.854325i \(0.326029\pi\)
\(548\) 11.0458 + 2.40286i 0.471853 + 0.102645i
\(549\) 6.06038 + 6.99406i 0.258651 + 0.298499i
\(550\) 3.08747 10.9988i 0.131650 0.468988i
\(551\) 8.24282i 0.351156i
\(552\) −2.92025 3.80423i −0.124294 0.161919i
\(553\) 19.5751 19.5751i 0.832418 0.832418i
\(554\) −0.331750 1.12984i −0.0140947 0.0480021i
\(555\) 6.82597 7.41988i 0.289746 0.314956i
\(556\) 15.0656 9.68207i 0.638923 0.410611i
\(557\) −14.0832 10.5425i −0.596723 0.446702i 0.257739 0.966215i \(-0.417022\pi\)
−0.854463 + 0.519513i \(0.826113\pi\)
\(558\) 3.25260 0.707560i 0.137693 0.0299534i
\(559\) −1.51797 + 3.32390i −0.0642035 + 0.140586i
\(560\) −1.47336 7.89638i −0.0622608 0.333683i
\(561\) −0.161015 + 1.11988i −0.00679806 + 0.0472816i
\(562\) −29.6337 11.0528i −1.25002 0.466235i
\(563\) 16.0705 + 29.4310i 0.677292 + 1.24037i 0.959687 + 0.281069i \(0.0906891\pi\)
−0.282396 + 0.959298i \(0.591129\pi\)
\(564\) 2.77419 9.44804i 0.116815 0.397834i
\(565\) 2.26327 9.09346i 0.0952165 0.382565i
\(566\) −23.6197 3.39600i −0.992809 0.142744i
\(567\) 0.256273 + 3.58316i 0.0107624 + 0.150479i
\(568\) 3.05655 + 8.19493i 0.128250 + 0.343852i
\(569\) 4.11379 + 2.64377i 0.172459 + 0.110833i 0.624023 0.781406i \(-0.285497\pi\)
−0.451564 + 0.892239i \(0.649134\pi\)
\(570\) −1.79138 6.84779i −0.0750325 0.286822i
\(571\) −15.2669 23.7558i −0.638901 0.994149i −0.998144 0.0609050i \(-0.980601\pi\)
0.359243 0.933244i \(-0.383035\pi\)
\(572\) 6.22740 + 0.445392i 0.260381 + 0.0186228i
\(573\) −18.0479 9.85492i −0.753963 0.411695i
\(574\) −26.5755 −1.10924
\(575\) 9.43445 22.0452i 0.393444 0.919349i
\(576\) −1.00000 −0.0416667
\(577\) −37.8125 20.6472i −1.57415 0.859554i −0.999142 0.0414089i \(-0.986815\pi\)
−0.575012 0.818145i \(-0.695003\pi\)
\(578\) 16.7121 + 1.19527i 0.695132 + 0.0497168i
\(579\) 8.55278 + 13.3084i 0.355441 + 0.553077i
\(580\) 1.47361 + 5.63310i 0.0611885 + 0.233902i
\(581\) −8.89732 5.71796i −0.369123 0.237221i
\(582\) 5.44662 + 14.6029i 0.225770 + 0.605312i
\(583\) 0.606010 + 8.47312i 0.0250984 + 0.350921i
\(584\) 12.1160 + 1.74201i 0.501363 + 0.0720851i
\(585\) −1.47575 + 5.92932i −0.0610147 + 0.245147i
\(586\) 0.932750 3.17665i 0.0385315 0.131226i
\(587\) −10.6555 19.5141i −0.439800 0.805434i 0.559933 0.828538i \(-0.310827\pi\)
−0.999733 + 0.0231043i \(0.992645\pi\)
\(588\) 5.53242 + 2.06349i 0.228153 + 0.0850967i
\(589\) 1.49955 10.4296i 0.0617878 0.429743i
\(590\) −0.789142 4.22936i −0.0324884 0.174120i
\(591\) 3.87857 8.49288i 0.159543 0.349350i
\(592\) −4.40581 + 0.958425i −0.181078 + 0.0393910i
\(593\) 37.0770 + 27.7555i 1.52257 + 1.13978i 0.946645 + 0.322278i \(0.104449\pi\)
0.575924 + 0.817503i \(0.304642\pi\)
\(594\) 1.92208 1.23524i 0.0788637 0.0506826i
\(595\) −2.69306 + 2.92738i −0.110405 + 0.120011i
\(596\) 6.33375 + 21.5708i 0.259440 + 0.883573i
\(597\) −9.31292 + 9.31292i −0.381152 + 0.381152i
\(598\) 12.8382 + 2.63061i 0.524993 + 0.107573i
\(599\) 20.0505i 0.819242i −0.912256 0.409621i \(-0.865661\pi\)
0.912256 0.409621i \(-0.134339\pi\)
\(600\) −2.44843 4.35949i −0.0999569 0.177976i
\(601\) −23.3465 26.9433i −0.952325 1.09904i −0.994992 0.0999526i \(-0.968131\pi\)
0.0426670 0.999089i \(-0.486415\pi\)
\(602\) 4.69402 + 1.02112i 0.191314 + 0.0416178i
\(603\) −4.75104 + 6.34665i −0.193477 + 0.258456i
\(604\) −6.80755 + 10.5928i −0.276995 + 0.431013i
\(605\) −4.00817 + 12.2868i −0.162955 + 0.499529i
\(606\) 0.672278 0.775851i 0.0273094 0.0315168i
\(607\) 12.1907 9.12584i 0.494805 0.370406i −0.322539 0.946556i \(-0.604536\pi\)
0.817344 + 0.576150i \(0.195446\pi\)
\(608\) −1.10622 + 2.96589i −0.0448632 + 0.120283i
\(609\) −8.97537 2.63541i −0.363700 0.106792i
\(610\) 16.9274 11.9032i 0.685372 0.481948i
\(611\) 11.1777 + 24.4758i 0.452202 + 0.990185i
\(612\) 0.296757 + 0.396421i 0.0119957 + 0.0160244i
\(613\) −30.9991 + 2.21710i −1.25204 + 0.0895478i −0.681560 0.731762i \(-0.738698\pi\)
−0.570482 + 0.821310i \(0.693244\pi\)
\(614\) −27.7793 12.6864i −1.12108 0.511981i
\(615\) −15.6642 + 5.31754i −0.631640 + 0.214424i
\(616\) −1.16807 8.12409i −0.0470628 0.327329i
\(617\) 4.73027 21.7447i 0.190433 0.875408i −0.778414 0.627751i \(-0.783976\pi\)
0.968848 0.247657i \(-0.0796607\pi\)
\(618\) 0.877281 12.2660i 0.0352894 0.493410i
\(619\) 7.60644 2.23345i 0.305729 0.0897700i −0.125270 0.992123i \(-0.539980\pi\)
0.430998 + 0.902353i \(0.358161\pi\)
\(620\) −0.839770 7.39561i −0.0337260 0.297015i
\(621\) 4.33803 2.04487i 0.174079 0.0820577i
\(622\) −20.2806 20.2806i −0.813178 0.813178i
\(623\) 27.0805 49.5943i 1.08496 1.98695i
\(624\) 2.06514 1.78945i 0.0826717 0.0716354i
\(625\) 13.0103 21.3479i 0.520414 0.853914i
\(626\) 5.83459 0.838887i 0.233197 0.0335287i
\(627\) −1.53736 7.06712i −0.0613962 0.282234i
\(628\) −1.86579 + 0.695904i −0.0744532 + 0.0277696i
\(629\) 1.68739 + 1.46213i 0.0672808 + 0.0582991i
\(630\) 8.02911 + 0.238808i 0.319887 + 0.00951435i
\(631\) −16.6491 + 7.60338i −0.662790 + 0.302686i −0.718260 0.695774i \(-0.755061\pi\)
0.0554708 + 0.998460i \(0.482334\pi\)
\(632\) −6.76364 + 3.69323i −0.269043 + 0.146909i
\(633\) 12.6793 6.92344i 0.503958 0.275182i
\(634\) 12.0268 5.49245i 0.477645 0.218133i
\(635\) 7.03583 6.62939i 0.279208 0.263079i
\(636\) 2.80987 + 2.43476i 0.111419 + 0.0965447i
\(637\) −15.1177 + 5.63862i −0.598986 + 0.223410i
\(638\) 1.26466 + 5.81353i 0.0500682 + 0.230160i
\(639\) −8.65737 + 1.24474i −0.342480 + 0.0492412i
\(640\) −0.225757 + 2.22464i −0.00892383 + 0.0879367i
\(641\) 2.01536 1.74632i 0.0796019 0.0689754i −0.614151 0.789189i \(-0.710501\pi\)
0.693753 + 0.720213i \(0.255956\pi\)
\(642\) 0.0231626 0.0424192i 0.000914156 0.00167415i
\(643\) −9.10016 9.10016i −0.358875 0.358875i 0.504523 0.863398i \(-0.331668\pi\)
−0.863398 + 0.504523i \(0.831668\pi\)
\(644\) −0.208327 17.2269i −0.00820924 0.678834i
\(645\) 2.97108 0.337366i 0.116986 0.0132838i
\(646\) 1.50402 0.441620i 0.0591749 0.0173753i
\(647\) 1.69924 23.7584i 0.0668039 0.934041i −0.847962 0.530057i \(-0.822171\pi\)
0.914766 0.403984i \(-0.132375\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −0.625625 4.35132i −0.0245579 0.170804i
\(650\) 12.8575 + 4.62160i 0.504311 + 0.181274i
\(651\) 10.8770 + 4.96738i 0.426305 + 0.194687i
\(652\) 1.36804 0.0978439i 0.0535765 0.00383186i
\(653\) −20.8276 27.8224i −0.815047 1.08877i −0.994472 0.105003i \(-0.966515\pi\)
0.179425 0.983772i \(-0.442576\pi\)
\(654\) 2.57193 + 5.63174i 0.100570 + 0.220218i
\(655\) −34.9687 6.09386i −1.36634 0.238107i
\(656\) 7.09820 + 2.08422i 0.277138 + 0.0813751i
\(657\) −4.27764 + 11.4688i −0.166887 + 0.447440i
\(658\) 28.3177 21.1984i 1.10394 0.826398i
\(659\) −7.71362 + 8.90199i −0.300480 + 0.346772i −0.885831 0.464007i \(-0.846411\pi\)
0.585351 + 0.810780i \(0.300957\pi\)
\(660\) −2.31405 4.55480i −0.0900743 0.177295i
\(661\) 14.0045 21.7914i 0.544711 0.847587i −0.454354 0.890821i \(-0.650130\pi\)
0.999065 + 0.0432344i \(0.0137662\pi\)
\(662\) −2.78653 + 3.72237i −0.108302 + 0.144674i
\(663\) −1.32222 0.287631i −0.0513508 0.0111707i
\(664\) 1.92800 + 2.22503i 0.0748210 + 0.0863480i
\(665\) 9.59025 23.5493i 0.371894 0.913203i
\(666\) 4.50885i 0.174714i
\(667\) 1.04146 + 12.4447i 0.0403255 + 0.481861i
\(668\) 3.06366 3.06366i 0.118537 0.118537i
\(669\) 4.33640 + 14.7684i 0.167655 + 0.570980i
\(670\) 13.0464 + 12.0022i 0.504028 + 0.463684i
\(671\) 17.7878 11.4315i 0.686690 0.441309i
\(672\) −2.87579 2.15279i −0.110936 0.0830458i
\(673\) −25.9720 + 5.64985i −1.00115 + 0.217786i −0.683128 0.730299i \(-0.739381\pi\)
−0.318018 + 0.948085i \(0.603017\pi\)
\(674\) −9.17575 + 20.0921i −0.353437 + 0.773918i
\(675\) 4.78032 1.46580i 0.183994 0.0564188i
\(676\) 0.787437 5.47675i 0.0302860 0.210644i
\(677\) −40.3352 15.0443i −1.55021 0.578198i −0.578771 0.815490i \(-0.696467\pi\)
−0.971438 + 0.237292i \(0.923740\pi\)
\(678\) −2.00843 3.67817i −0.0771333 0.141259i
\(679\) −15.7738 + 53.7205i −0.605342 + 2.06160i
\(680\) 0.948890 0.570683i 0.0363883 0.0218847i
\(681\) 17.9241 + 2.57710i 0.686854 + 0.0987547i
\(682\) −0.542553 7.58589i −0.0207754 0.290479i
\(683\) 11.6262 + 31.1712i 0.444866 + 1.19273i 0.945083 + 0.326831i \(0.105981\pi\)
−0.500217 + 0.865900i \(0.666746\pi\)
\(684\) −2.66297 1.71139i −0.101821 0.0654365i
\(685\) 21.8150 + 12.7681i 0.833507 + 0.487843i
\(686\) −2.12722 3.31001i −0.0812175 0.126377i
\(687\) −21.0768 1.50745i −0.804132 0.0575126i
\(688\) −1.17367 0.640874i −0.0447458 0.0244331i
\(689\) −10.1597 −0.387052
\(690\) −3.56976 10.1122i −0.135898 0.384965i
\(691\) −40.0433 −1.52332 −0.761659 0.647978i \(-0.775615\pi\)
−0.761659 + 0.647978i \(0.775615\pi\)
\(692\) 13.0789 + 7.14162i 0.497185 + 0.271484i
\(693\) 8.18672 + 0.585526i 0.310988 + 0.0222423i
\(694\) −1.39039 2.16348i −0.0527783 0.0821247i
\(695\) 38.7410 10.1346i 1.46953 0.384427i
\(696\) 2.19060 + 1.40781i 0.0830346 + 0.0533631i
\(697\) −1.28021 3.43238i −0.0484915 0.130011i
\(698\) 0.411502 + 5.75355i 0.0155756 + 0.217775i
\(699\) −8.82456 1.26878i −0.333775 0.0479897i
\(700\) 2.34389 17.8080i 0.0885907 0.673078i
\(701\) 0.995671 3.39094i 0.0376060 0.128074i −0.938551 0.345142i \(-0.887831\pi\)
0.976157 + 0.217067i \(0.0696491\pi\)
\(702\) 1.30958 + 2.39832i 0.0494270 + 0.0905187i
\(703\) −13.3728 4.98778i −0.504363 0.188118i
\(704\) −0.325157 + 2.26152i −0.0122548 + 0.0852342i
\(705\) 12.4494 18.1609i 0.468873 0.683980i
\(706\) −0.330186 + 0.723007i −0.0124267 + 0.0272107i
\(707\) 3.60358 0.783911i 0.135527 0.0294820i
\(708\) −1.54030 1.15305i −0.0578879 0.0433343i
\(709\) 6.96510 4.47620i 0.261580 0.168107i −0.403277 0.915078i \(-0.632129\pi\)
0.664857 + 0.746971i \(0.268493\pi\)
\(710\) 0.814644 + 19.5406i 0.0305731 + 0.733344i
\(711\) −2.17111 7.39412i −0.0814230 0.277301i
\(712\) −11.1226 + 11.1226i −0.416838 + 0.416838i
\(713\) 0.946211 15.9357i 0.0354359 0.596796i
\(714\) 1.77888i 0.0665730i
\(715\) 12.9294 + 5.26540i 0.483533 + 0.196915i
\(716\) −9.08091 10.4799i −0.339370 0.391653i
\(717\) 6.77570 + 1.47396i 0.253043 + 0.0550462i
\(718\) 11.8115 15.7784i 0.440802 0.588843i
\(719\) −8.09344 + 12.5936i −0.301834 + 0.469664i −0.958730 0.284318i \(-0.908233\pi\)
0.656896 + 0.753982i \(0.271869\pi\)
\(720\) −2.12581 0.693479i −0.0792244 0.0258445i
\(721\) 28.9290 33.3859i 1.07737 1.24335i
\(722\) 7.18866 5.38136i 0.267534 0.200274i
\(723\) −7.17645 + 19.2408i −0.266895 + 0.715574i
\(724\) 18.8492 + 5.53464i 0.700527 + 0.205693i
\(725\) −0.773810 + 12.9969i −0.0287386 + 0.482691i
\(726\) 2.40102 + 5.25749i 0.0891101 + 0.195124i
\(727\) −1.66468 2.22375i −0.0617395 0.0824744i 0.768609 0.639719i \(-0.220949\pi\)
−0.830348 + 0.557245i \(0.811858\pi\)
\(728\) 9.79123 0.700283i 0.362887 0.0259542i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 24.5483 + 12.1054i 0.908572 + 0.448040i
\(731\) 0.0942398 + 0.655452i 0.00348558 + 0.0242428i
\(732\) 1.96718 9.04297i 0.0727090 0.334238i
\(733\) 0.754236 10.5456i 0.0278584 0.389511i −0.964325 0.264721i \(-0.914720\pi\)
0.992183 0.124789i \(-0.0398255\pi\)
\(734\) −15.2983 + 4.49200i −0.564672 + 0.165803i
\(735\) 10.3299 + 8.22320i 0.381024 + 0.303317i
\(736\) −1.29540 + 4.61757i −0.0477491 + 0.170206i
\(737\) 12.8082 + 12.8082i 0.471797 + 0.471797i
\(738\) −3.54542 + 6.49295i −0.130509 + 0.239009i
\(739\) 31.7877 27.5442i 1.16933 1.01323i 0.169713 0.985494i \(-0.445716\pi\)
0.999615 0.0277350i \(-0.00882947\pi\)
\(740\) −10.0306 1.01790i −0.368731 0.0374189i
\(741\) 8.56185 1.23101i 0.314527 0.0452222i
\(742\) 2.83906 + 13.0509i 0.104225 + 0.479115i
\(743\) 17.3115 6.45685i 0.635097 0.236879i −0.0112330 0.999937i \(-0.503576\pi\)
0.646330 + 0.763058i \(0.276303\pi\)
\(744\) −2.51564 2.17981i −0.0922279 0.0799159i
\(745\) −1.49451 + 50.2478i −0.0547546 + 1.84094i
\(746\) −10.2911 + 4.69980i −0.376785 + 0.172072i
\(747\) −2.58401 + 1.41098i −0.0945440 + 0.0516249i
\(748\) 0.993006 0.542223i 0.0363079 0.0198256i
\(749\) 0.157931 0.0721246i 0.00577066 0.00263537i
\(750\) −2.18170 10.9654i −0.0796644 0.400400i
\(751\) 32.3120 + 27.9985i 1.17908 + 1.02168i 0.999279 + 0.0379761i \(0.0120911\pi\)
0.179802 + 0.983703i \(0.442454\pi\)
\(752\) −9.22606 + 3.44114i −0.336440 + 0.125486i
\(753\) −6.30522 28.9846i −0.229775 1.05626i
\(754\) −7.04311 + 1.01265i −0.256495 + 0.0368784i
\(755\) −21.8174 + 17.7973i −0.794018 + 0.647711i
\(756\) 2.71489 2.35246i 0.0987396 0.0855583i
\(757\) −5.70119 + 10.4409i −0.207213 + 0.379483i −0.960531 0.278174i \(-0.910271\pi\)
0.753317 + 0.657657i \(0.228452\pi\)
\(758\) −21.3451 21.3451i −0.775288 0.775288i
\(759\) −3.21396 10.4754i −0.116659 0.380235i
\(760\) −4.40841 + 5.53780i −0.159910 + 0.200877i
\(761\) −14.1076 + 4.14238i −0.511402 + 0.150161i −0.527245 0.849713i \(-0.676775\pi\)
0.0158431 + 0.999874i \(0.494957\pi\)
\(762\) 0.308416 4.31222i 0.0111727 0.156215i
\(763\) −4.72763 + 21.7325i −0.171152 + 0.786771i
\(764\) 2.92646 + 20.3539i 0.105875 + 0.736380i
\(765\) 0.355940 + 1.04851i 0.0128691 + 0.0379090i
\(766\) 27.8437 + 12.7158i 1.00603 + 0.459441i
\(767\) 5.24426 0.375077i 0.189359 0.0135432i
\(768\) 0.599278 + 0.800541i 0.0216246 + 0.0288870i
\(769\) 2.94494 + 6.44852i 0.106197 + 0.232540i 0.955269 0.295738i \(-0.0955654\pi\)
−0.849072 + 0.528277i \(0.822838\pi\)
\(770\) 3.15079 18.0803i 0.113547 0.651570i
\(771\) −2.85299 0.837715i −0.102748 0.0301696i
\(772\) 5.52842 14.8223i 0.198972 0.533465i
\(773\) 18.9635 14.1959i 0.682071 0.510592i −0.201143