Properties

Label 690.2.r.b.169.10
Level $690$
Weight $2$
Character 690.169
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 169.10
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(0.670880 + 2.13305i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.0999940 - 0.155594i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(0.670880 + 2.13305i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.0999940 - 0.155594i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(0.360487 + 2.20682i) q^{10} +(-0.591841 - 4.11635i) q^{11} +(-0.989821 + 0.142315i) q^{12} +(3.08583 + 4.80164i) q^{13} +(0.121120 - 0.139779i) q^{14} +(-1.49636 - 1.66160i) q^{15} +(0.841254 + 0.540641i) q^{16} +(1.78801 + 6.08939i) q^{17} +(0.755750 - 0.654861i) q^{18} +(2.06044 + 0.605000i) q^{19} +(0.0427543 + 2.23566i) q^{20} +(-0.0263218 + 0.183072i) q^{21} -4.15868i q^{22} +(-4.79536 - 0.0673348i) q^{23} -1.00000 q^{24} +(-4.09984 + 2.86205i) q^{25} +(2.37107 + 5.19193i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(0.139779 - 0.121120i) q^{28} +(4.70792 - 1.38237i) q^{29} +(-1.24466 - 1.85764i) q^{30} +(-2.03747 + 4.46145i) q^{31} +(0.755750 + 0.654861i) q^{32} +(2.24835 + 3.49850i) q^{33} +(0.903197 + 6.28187i) q^{34} +(0.398974 + 0.108908i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-4.72024 - 4.09011i) q^{37} +(1.95337 + 0.892074i) q^{38} +(-4.80164 - 3.08583i) q^{39} +(-0.275848 + 2.21899i) q^{40} +(-1.65444 - 1.90933i) q^{41} +(-0.0521077 + 0.177463i) q^{42} +(-4.80047 + 2.19230i) q^{43} +(0.591841 - 4.11635i) q^{44} +(2.05139 + 0.889836i) q^{45} +(-4.73697 - 0.749100i) q^{46} +2.44178i q^{47} +(-0.989821 - 0.142315i) q^{48} +(2.89369 + 6.33631i) q^{49} +(-4.46542 + 2.24945i) q^{50} +(-4.15605 - 4.79634i) q^{51} +(1.60805 + 5.47652i) q^{52} +(6.66112 - 10.3649i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(8.38334 - 4.02401i) q^{55} +(0.155594 - 0.0999940i) q^{56} +(-2.12557 + 0.305611i) q^{57} +(4.85673 - 0.698293i) q^{58} +(9.13926 - 5.87345i) q^{59} +(-0.967617 - 2.01587i) q^{60} +(-5.02703 + 11.0077i) q^{61} +(-2.65167 + 4.12607i) q^{62} +(-0.0521077 - 0.177463i) q^{63} +(0.654861 + 0.755750i) q^{64} +(-8.17194 + 9.80357i) q^{65} +(1.72758 + 3.78287i) q^{66} +(8.92008 + 1.28251i) q^{67} +6.34647i q^{68} +(4.38998 - 1.93081i) q^{69} +(0.379414 + 0.164579i) q^{70} +(0.970226 - 6.74807i) q^{71} +(0.909632 - 0.415415i) q^{72} +(4.11019 - 13.9980i) q^{73} +(-4.09011 - 4.72024i) q^{74} +(2.54041 - 4.30655i) q^{75} +(1.80653 + 1.16099i) q^{76} +(-0.699658 - 0.319523i) q^{77} +(-4.31361 - 3.73776i) q^{78} +(13.8198 - 8.88145i) q^{79} +(-0.588836 + 2.15714i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-1.36588 - 2.12535i) q^{82} +(-0.426230 - 0.369330i) q^{83} +(-0.0768329 + 0.168241i) q^{84} +(-11.7895 + 7.89917i) q^{85} +(-5.06361 + 1.48681i) q^{86} +(-3.70822 + 3.21319i) q^{87} +(1.17163 - 3.99022i) q^{88} +(-7.29980 - 15.9843i) q^{89} +(1.90387 + 1.17272i) q^{90} +1.05567 q^{91} +(-4.58214 - 1.41562i) q^{92} -4.90467i q^{93} +(-0.347502 + 2.41693i) q^{94} +(0.0918117 + 4.80092i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(1.35952 - 1.17803i) q^{97} +(1.96249 + 6.68363i) q^{98} +(-3.49850 - 2.24835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.989821 + 0.142315i 0.699909 + 0.100632i
\(3\) −0.909632 + 0.415415i −0.525176 + 0.239840i
\(4\) 0.959493 + 0.281733i 0.479746 + 0.140866i
\(5\) 0.670880 + 2.13305i 0.300027 + 0.953931i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) 0.0999940 0.155594i 0.0377942 0.0588089i −0.821842 0.569715i \(-0.807054\pi\)
0.859637 + 0.510906i \(0.170690\pi\)
\(8\) 0.909632 + 0.415415i 0.321603 + 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) 0.360487 + 2.20682i 0.113996 + 0.697857i
\(11\) −0.591841 4.11635i −0.178447 1.24113i −0.860358 0.509690i \(-0.829760\pi\)
0.681911 0.731435i \(-0.261149\pi\)
\(12\) −0.989821 + 0.142315i −0.285737 + 0.0410828i
\(13\) 3.08583 + 4.80164i 0.855855 + 1.33174i 0.942055 + 0.335458i \(0.108891\pi\)
−0.0862003 + 0.996278i \(0.527473\pi\)
\(14\) 0.121120 0.139779i 0.0323706 0.0373576i
\(15\) −1.49636 1.66160i −0.386358 0.429023i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 1.78801 + 6.08939i 0.433656 + 1.47690i 0.829463 + 0.558562i \(0.188647\pi\)
−0.395808 + 0.918333i \(0.629535\pi\)
\(18\) 0.755750 0.654861i 0.178132 0.154352i
\(19\) 2.06044 + 0.605000i 0.472698 + 0.138797i 0.509400 0.860530i \(-0.329867\pi\)
−0.0367026 + 0.999326i \(0.511685\pi\)
\(20\) 0.0427543 + 2.23566i 0.00956015 + 0.499909i
\(21\) −0.0263218 + 0.183072i −0.00574389 + 0.0399496i
\(22\) 4.15868i 0.886633i
\(23\) −4.79536 0.0673348i −0.999901 0.0140403i
\(24\) −1.00000 −0.204124
\(25\) −4.09984 + 2.86205i −0.819968 + 0.572410i
\(26\) 2.37107 + 5.19193i 0.465006 + 1.01822i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 0.139779 0.121120i 0.0264158 0.0228894i
\(29\) 4.70792 1.38237i 0.874239 0.256700i 0.186322 0.982489i \(-0.440343\pi\)
0.687917 + 0.725789i \(0.258525\pi\)
\(30\) −1.24466 1.85764i −0.227242 0.339157i
\(31\) −2.03747 + 4.46145i −0.365941 + 0.801299i 0.633675 + 0.773599i \(0.281546\pi\)
−0.999616 + 0.0277001i \(0.991182\pi\)
\(32\) 0.755750 + 0.654861i 0.133599 + 0.115764i
\(33\) 2.24835 + 3.49850i 0.391388 + 0.609011i
\(34\) 0.903197 + 6.28187i 0.154897 + 1.07733i
\(35\) 0.398974 + 0.108908i 0.0674389 + 0.0184088i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) −4.72024 4.09011i −0.776003 0.672410i 0.173967 0.984751i \(-0.444341\pi\)
−0.949970 + 0.312341i \(0.898887\pi\)
\(38\) 1.95337 + 0.892074i 0.316878 + 0.144713i
\(39\) −4.80164 3.08583i −0.768878 0.494128i
\(40\) −0.275848 + 2.21899i −0.0436155 + 0.350853i
\(41\) −1.65444 1.90933i −0.258380 0.298187i 0.611707 0.791084i \(-0.290483\pi\)
−0.870087 + 0.492898i \(0.835938\pi\)
\(42\) −0.0521077 + 0.177463i −0.00804040 + 0.0273831i
\(43\) −4.80047 + 2.19230i −0.732066 + 0.334323i −0.746331 0.665575i \(-0.768186\pi\)
0.0142653 + 0.999898i \(0.495459\pi\)
\(44\) 0.591841 4.11635i 0.0892234 0.620563i
\(45\) 2.05139 + 0.889836i 0.305803 + 0.132649i
\(46\) −4.73697 0.749100i −0.698428 0.110449i
\(47\) 2.44178i 0.356171i 0.984015 + 0.178085i \(0.0569903\pi\)
−0.984015 + 0.178085i \(0.943010\pi\)
\(48\) −0.989821 0.142315i −0.142868 0.0205414i
\(49\) 2.89369 + 6.33631i 0.413385 + 0.905187i
\(50\) −4.46542 + 2.24945i −0.631506 + 0.318120i
\(51\) −4.15605 4.79634i −0.581964 0.671622i
\(52\) 1.60805 + 5.47652i 0.222997 + 0.759457i
\(53\) 6.66112 10.3649i 0.914975 1.42373i 0.00920600 0.999958i \(-0.497070\pi\)
0.905769 0.423771i \(-0.139294\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 8.38334 4.02401i 1.13041 0.542597i
\(56\) 0.155594 0.0999940i 0.0207921 0.0133623i
\(57\) −2.12557 + 0.305611i −0.281539 + 0.0404791i
\(58\) 4.85673 0.698293i 0.637721 0.0916904i
\(59\) 9.13926 5.87345i 1.18983 0.764657i 0.212662 0.977126i \(-0.431787\pi\)
0.977168 + 0.212468i \(0.0681502\pi\)
\(60\) −0.967617 2.01587i −0.124919 0.260247i
\(61\) −5.02703 + 11.0077i −0.643646 + 1.40939i 0.253362 + 0.967372i \(0.418464\pi\)
−0.897007 + 0.442016i \(0.854263\pi\)
\(62\) −2.65167 + 4.12607i −0.336762 + 0.524012i
\(63\) −0.0521077 0.177463i −0.00656496 0.0223582i
\(64\) 0.654861 + 0.755750i 0.0818576 + 0.0944687i
\(65\) −8.17194 + 9.80357i −1.01360 + 1.21598i
\(66\) 1.72758 + 3.78287i 0.212650 + 0.465639i
\(67\) 8.92008 + 1.28251i 1.08976 + 0.156684i 0.663692 0.748006i \(-0.268989\pi\)
0.426070 + 0.904690i \(0.359898\pi\)
\(68\) 6.34647i 0.769623i
\(69\) 4.38998 1.93081i 0.528492 0.232443i
\(70\) 0.379414 + 0.164579i 0.0453486 + 0.0196710i
\(71\) 0.970226 6.74807i 0.115145 0.800848i −0.847639 0.530574i \(-0.821976\pi\)
0.962783 0.270274i \(-0.0871145\pi\)
\(72\) 0.909632 0.415415i 0.107201 0.0489571i
\(73\) 4.11019 13.9980i 0.481061 1.63834i −0.259054 0.965863i \(-0.583411\pi\)
0.740115 0.672481i \(-0.234771\pi\)
\(74\) −4.09011 4.72024i −0.475466 0.548717i
\(75\) 2.54041 4.30655i 0.293341 0.497277i
\(76\) 1.80653 + 1.16099i 0.207223 + 0.133174i
\(77\) −0.699658 0.319523i −0.0797335 0.0364131i
\(78\) −4.31361 3.73776i −0.488420 0.423218i
\(79\) 13.8198 8.88145i 1.55485 0.999241i 0.570853 0.821052i \(-0.306613\pi\)
0.983996 0.178189i \(-0.0570238\pi\)
\(80\) −0.588836 + 2.15714i −0.0658338 + 0.241176i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −1.36588 2.12535i −0.150836 0.234705i
\(83\) −0.426230 0.369330i −0.0467848 0.0405393i 0.631155 0.775657i \(-0.282581\pi\)
−0.677939 + 0.735118i \(0.737127\pi\)
\(84\) −0.0768329 + 0.168241i −0.00838316 + 0.0183566i
\(85\) −11.7895 + 7.89917i −1.27875 + 0.856785i
\(86\) −5.06361 + 1.48681i −0.546023 + 0.160327i
\(87\) −3.70822 + 3.21319i −0.397563 + 0.344490i
\(88\) 1.17163 3.99022i 0.124897 0.425359i
\(89\) −7.29980 15.9843i −0.773777 1.69434i −0.718154 0.695884i \(-0.755013\pi\)
−0.0556235 0.998452i \(-0.517715\pi\)
\(90\) 1.90387 + 1.17272i 0.200686 + 0.123616i
\(91\) 1.05567 0.110664
\(92\) −4.58214 1.41562i −0.477721 0.147588i
\(93\) 4.90467i 0.508591i
\(94\) −0.347502 + 2.41693i −0.0358421 + 0.249287i
\(95\) 0.0918117 + 4.80092i 0.00941969 + 0.492564i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) 1.35952 1.17803i 0.138038 0.119611i −0.583105 0.812397i \(-0.698162\pi\)
0.721143 + 0.692786i \(0.243617\pi\)
\(98\) 1.96249 + 6.68363i 0.198241 + 0.675148i
\(99\) −3.49850 2.24835i −0.351613 0.225968i
\(100\) −4.74010 + 1.59106i −0.474010 + 0.159106i
\(101\) −8.09171 + 9.33833i −0.805155 + 0.929198i −0.998652 0.0519026i \(-0.983471\pi\)
0.193497 + 0.981101i \(0.438017\pi\)
\(102\) −3.43116 5.33899i −0.339736 0.528639i
\(103\) 15.1799 2.18255i 1.49572 0.215053i 0.654633 0.755946i \(-0.272823\pi\)
0.841091 + 0.540894i \(0.181914\pi\)
\(104\) 0.812294 + 5.64963i 0.0796520 + 0.553992i
\(105\) −0.408161 + 0.0666737i −0.0398325 + 0.00650668i
\(106\) 8.06840 9.31143i 0.783672 0.904406i
\(107\) −11.0425 5.04296i −1.06752 0.487521i −0.197383 0.980327i \(-0.563244\pi\)
−0.870139 + 0.492806i \(0.835971\pi\)
\(108\) −0.540641 + 0.841254i −0.0520232 + 0.0809497i
\(109\) 1.95728 0.574709i 0.187473 0.0550472i −0.186648 0.982427i \(-0.559762\pi\)
0.374122 + 0.927380i \(0.377944\pi\)
\(110\) 8.87068 2.78997i 0.845786 0.266014i
\(111\) 5.99277 + 1.75964i 0.568809 + 0.167017i
\(112\) 0.168241 0.0768329i 0.0158972 0.00726003i
\(113\) −4.31566 0.620498i −0.405983 0.0583715i −0.0637014 0.997969i \(-0.520291\pi\)
−0.342281 + 0.939597i \(0.611200\pi\)
\(114\) −2.14743 −0.201125
\(115\) −3.07348 10.2739i −0.286604 0.958049i
\(116\) 4.90668 0.455574
\(117\) 5.64963 + 0.812294i 0.522308 + 0.0750966i
\(118\) 9.88211 4.51301i 0.909722 0.415456i
\(119\) 1.12626 + 0.330700i 0.103244 + 0.0303152i
\(120\) −0.670880 2.13305i −0.0612427 0.194720i
\(121\) −6.03961 + 1.77339i −0.549056 + 0.161217i
\(122\) −6.54242 + 10.1802i −0.592323 + 0.921672i
\(123\) 2.29810 + 1.04951i 0.207212 + 0.0946307i
\(124\) −3.21188 + 3.70670i −0.288435 + 0.332872i
\(125\) −8.85541 6.82509i −0.792052 0.610454i
\(126\) −0.0263218 0.183072i −0.00234493 0.0163094i
\(127\) −3.81477 + 0.548481i −0.338506 + 0.0486699i −0.309472 0.950909i \(-0.600152\pi\)
−0.0290343 + 0.999578i \(0.509243\pi\)
\(128\) 0.540641 + 0.841254i 0.0477863 + 0.0743570i
\(129\) 3.45595 3.98838i 0.304279 0.351157i
\(130\) −9.48396 + 8.54079i −0.831798 + 0.749077i
\(131\) −14.9138 9.58452i −1.30303 0.837404i −0.309488 0.950903i \(-0.600158\pi\)
−0.993538 + 0.113500i \(0.963794\pi\)
\(132\) 1.17163 + 3.99022i 0.101978 + 0.347304i
\(133\) 0.300166 0.260095i 0.0260277 0.0225531i
\(134\) 8.64676 + 2.53892i 0.746967 + 0.219329i
\(135\) −2.23566 + 0.0427543i −0.192415 + 0.00367970i
\(136\) −0.903197 + 6.28187i −0.0774485 + 0.538666i
\(137\) 15.3728i 1.31338i −0.754159 0.656692i \(-0.771955\pi\)
0.754159 0.656692i \(-0.228045\pi\)
\(138\) 4.62008 1.28640i 0.393288 0.109506i
\(139\) −20.3326 −1.72458 −0.862292 0.506411i \(-0.830972\pi\)
−0.862292 + 0.506411i \(0.830972\pi\)
\(140\) 0.352130 + 0.216900i 0.0297604 + 0.0183314i
\(141\) −1.01435 2.22112i −0.0854240 0.187052i
\(142\) 1.92070 6.54131i 0.161182 0.548934i
\(143\) 17.9389 15.5442i 1.50013 1.29987i
\(144\) 0.959493 0.281733i 0.0799577 0.0234777i
\(145\) 6.10712 + 9.11485i 0.507169 + 0.756947i
\(146\) 6.06048 13.2706i 0.501569 1.09828i
\(147\) −5.26439 4.56162i −0.434200 0.376236i
\(148\) −3.37672 5.25428i −0.277565 0.431899i
\(149\) −0.587150 4.08372i −0.0481012 0.334551i −0.999635 0.0270077i \(-0.991402\pi\)
0.951534 0.307543i \(-0.0995069\pi\)
\(150\) 3.12743 3.90117i 0.255354 0.318529i
\(151\) 4.85872 3.12251i 0.395397 0.254106i −0.327801 0.944747i \(-0.606308\pi\)
0.723198 + 0.690641i \(0.242671\pi\)
\(152\) 1.62292 + 1.40627i 0.131636 + 0.114063i
\(153\) 5.77295 + 2.63642i 0.466716 + 0.213142i
\(154\) −0.647064 0.415843i −0.0521419 0.0335096i
\(155\) −10.8834 1.35295i −0.874176 0.108671i
\(156\) −3.73776 4.31361i −0.299261 0.345365i
\(157\) 0.368706 1.25570i 0.0294260 0.100216i −0.943471 0.331456i \(-0.892460\pi\)
0.972897 + 0.231240i \(0.0742784\pi\)
\(158\) 14.9431 6.82429i 1.18881 0.542911i
\(159\) −1.75343 + 12.1954i −0.139056 + 0.967156i
\(160\) −0.889836 + 2.05139i −0.0703477 + 0.162176i
\(161\) −0.489984 + 0.739395i −0.0386162 + 0.0582725i
\(162\) 1.00000i 0.0785674i
\(163\) −10.8526 1.56037i −0.850043 0.122218i −0.296495 0.955035i \(-0.595818\pi\)
−0.553549 + 0.832817i \(0.686727\pi\)
\(164\) −1.04951 2.29810i −0.0819526 0.179451i
\(165\) −5.95412 + 7.14293i −0.463527 + 0.556076i
\(166\) −0.369330 0.426230i −0.0286656 0.0330819i
\(167\) −1.16885 3.98074i −0.0904485 0.308039i 0.901826 0.432099i \(-0.142227\pi\)
−0.992275 + 0.124060i \(0.960409\pi\)
\(168\) −0.0999940 + 0.155594i −0.00771471 + 0.0120043i
\(169\) −8.13304 + 17.8089i −0.625618 + 1.36991i
\(170\) −12.7936 + 6.14095i −0.981227 + 0.470990i
\(171\) 1.80653 1.16099i 0.138149 0.0887829i
\(172\) −5.22366 + 0.751050i −0.398301 + 0.0572670i
\(173\) 3.34992 0.481646i 0.254690 0.0366189i −0.0137871 0.999905i \(-0.504389\pi\)
0.268477 + 0.963286i \(0.413480\pi\)
\(174\) −4.12776 + 2.65275i −0.312925 + 0.201104i
\(175\) 0.0353574 + 0.924097i 0.00267277 + 0.0698552i
\(176\) 1.72758 3.78287i 0.130221 0.285144i
\(177\) −5.87345 + 9.13926i −0.441475 + 0.686949i
\(178\) −4.95069 16.8605i −0.371070 1.26375i
\(179\) 8.95399 + 10.3335i 0.669252 + 0.772358i 0.984259 0.176731i \(-0.0565523\pi\)
−0.315007 + 0.949089i \(0.602007\pi\)
\(180\) 1.71760 + 1.43173i 0.128022 + 0.106715i
\(181\) 5.36838 + 11.7551i 0.399028 + 0.873750i 0.997368 + 0.0725077i \(0.0231002\pi\)
−0.598339 + 0.801243i \(0.704173\pi\)
\(182\) 1.04492 + 0.150237i 0.0774550 + 0.0111363i
\(183\) 12.1012i 0.894549i
\(184\) −4.33404 2.05331i −0.319510 0.151372i
\(185\) 5.55771 12.8125i 0.408611 0.941994i
\(186\) 0.698008 4.85475i 0.0511804 0.355967i
\(187\) 24.0078 10.9640i 1.75563 0.801768i
\(188\) −0.687930 + 2.34287i −0.0501725 + 0.170872i
\(189\) 0.121120 + 0.139779i 0.00881015 + 0.0101675i
\(190\) −0.592364 + 4.76512i −0.0429746 + 0.345698i
\(191\) 6.04059 + 3.88205i 0.437082 + 0.280895i 0.740620 0.671924i \(-0.234532\pi\)
−0.303539 + 0.952819i \(0.598168\pi\)
\(192\) −0.909632 0.415415i −0.0656470 0.0299800i
\(193\) 16.1673 + 14.0091i 1.16375 + 1.00840i 0.999759 + 0.0219343i \(0.00698247\pi\)
0.163992 + 0.986462i \(0.447563\pi\)
\(194\) 1.51333 0.972558i 0.108651 0.0698256i
\(195\) 3.36091 12.3124i 0.240680 0.881708i
\(196\) 0.991336 + 6.89489i 0.0708097 + 0.492492i
\(197\) 1.88225 + 2.92883i 0.134104 + 0.208671i 0.901811 0.432131i \(-0.142238\pi\)
−0.767706 + 0.640802i \(0.778602\pi\)
\(198\) −3.14292 2.72335i −0.223357 0.193540i
\(199\) 1.52492 3.33910i 0.108098 0.236703i −0.847851 0.530235i \(-0.822104\pi\)
0.955949 + 0.293533i \(0.0948309\pi\)
\(200\) −4.91828 + 0.900276i −0.347775 + 0.0636591i
\(201\) −8.64676 + 2.53892i −0.609896 + 0.179082i
\(202\) −9.33833 + 8.09171i −0.657042 + 0.569330i
\(203\) 0.255676 0.870752i 0.0179449 0.0611148i
\(204\) −2.63642 5.77295i −0.184586 0.404188i
\(205\) 2.96277 4.80994i 0.206929 0.335941i
\(206\) 15.3360 1.06851
\(207\) −3.19118 + 3.58000i −0.221802 + 0.248827i
\(208\) 5.70772i 0.395759i
\(209\) 1.27094 8.83956i 0.0879125 0.611445i
\(210\) −0.413496 + 0.00790760i −0.0285339 + 0.000545677i
\(211\) 3.81638 + 1.12059i 0.262731 + 0.0771447i 0.410445 0.911885i \(-0.365373\pi\)
−0.147714 + 0.989030i \(0.547192\pi\)
\(212\) 9.31143 8.06840i 0.639512 0.554140i
\(213\) 1.92070 + 6.54131i 0.131604 + 0.448203i
\(214\) −10.2124 6.56314i −0.698109 0.448647i
\(215\) −7.89685 8.76890i −0.538560 0.598034i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) 0.490438 + 0.763136i 0.0332931 + 0.0518051i
\(218\) 2.01915 0.290310i 0.136754 0.0196622i
\(219\) 2.07623 + 14.4405i 0.140298 + 0.975797i
\(220\) 9.17745 1.49915i 0.618743 0.101072i
\(221\) −23.7216 + 27.3762i −1.59569 + 1.84152i
\(222\) 5.68135 + 2.59459i 0.381307 + 0.174137i
\(223\) 0.314846 0.489911i 0.0210837 0.0328068i −0.830552 0.556941i \(-0.811975\pi\)
0.851635 + 0.524135i \(0.175611\pi\)
\(224\) 0.177463 0.0521077i 0.0118572 0.00348159i
\(225\) −0.521832 + 4.97269i −0.0347888 + 0.331513i
\(226\) −4.18342 1.22836i −0.278277 0.0817096i
\(227\) −12.8057 + 5.84818i −0.849946 + 0.388158i −0.792265 0.610177i \(-0.791098\pi\)
−0.0576817 + 0.998335i \(0.518371\pi\)
\(228\) −2.12557 0.305611i −0.140769 0.0202396i
\(229\) 17.8580 1.18009 0.590045 0.807370i \(-0.299110\pi\)
0.590045 + 0.807370i \(0.299110\pi\)
\(230\) −1.58007 10.6068i −0.104187 0.699389i
\(231\) 0.769166 0.0506074
\(232\) 4.85673 + 0.698293i 0.318860 + 0.0458452i
\(233\) 22.0576 10.0734i 1.44504 0.659927i 0.470144 0.882590i \(-0.344202\pi\)
0.974896 + 0.222662i \(0.0714748\pi\)
\(234\) 5.47652 + 1.60805i 0.358011 + 0.105122i
\(235\) −5.20846 + 1.63815i −0.339762 + 0.106861i
\(236\) 10.4238 3.06070i 0.678531 0.199235i
\(237\) −8.88145 + 13.8198i −0.576912 + 0.897693i
\(238\) 1.06773 + 0.487618i 0.0692109 + 0.0316076i
\(239\) −3.83403 + 4.42470i −0.248003 + 0.286210i −0.866078 0.499908i \(-0.833367\pi\)
0.618076 + 0.786119i \(0.287913\pi\)
\(240\) −0.360487 2.20682i −0.0232693 0.142450i
\(241\) −2.80219 19.4896i −0.180505 1.25544i −0.855573 0.517682i \(-0.826795\pi\)
0.675068 0.737755i \(-0.264114\pi\)
\(242\) −6.23052 + 0.895814i −0.400513 + 0.0575851i
\(243\) 0.540641 + 0.841254i 0.0346821 + 0.0539664i
\(244\) −7.92462 + 9.14550i −0.507322 + 0.585481i
\(245\) −11.5744 + 10.4233i −0.739459 + 0.665921i
\(246\) 2.12535 + 1.36588i 0.135507 + 0.0870851i
\(247\) 3.45317 + 11.7604i 0.219720 + 0.748298i
\(248\) −3.70670 + 3.21188i −0.235376 + 0.203954i
\(249\) 0.541138 + 0.158892i 0.0342932 + 0.0100694i
\(250\) −7.79396 8.01587i −0.492933 0.506968i
\(251\) −1.40565 + 9.77652i −0.0887239 + 0.617089i 0.896142 + 0.443768i \(0.146359\pi\)
−0.984866 + 0.173320i \(0.944550\pi\)
\(252\) 0.184955i 0.0116510i
\(253\) 2.56092 + 19.7792i 0.161004 + 1.24351i
\(254\) −3.85400 −0.241821
\(255\) 7.44264 12.0829i 0.466076 0.756658i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −2.48459 + 8.46173i −0.154984 + 0.527828i −0.999976 0.00695146i \(-0.997787\pi\)
0.844991 + 0.534780i \(0.179605\pi\)
\(258\) 3.98838 3.45595i 0.248306 0.215158i
\(259\) −1.10839 + 0.325453i −0.0688721 + 0.0202227i
\(260\) −10.6029 + 7.10415i −0.657564 + 0.440581i
\(261\) 2.03831 4.46327i 0.126168 0.276270i
\(262\) −13.3980 11.6094i −0.827731 0.717233i
\(263\) −9.20762 14.3273i −0.567766 0.883461i 0.432065 0.901842i \(-0.357785\pi\)
−0.999831 + 0.0183814i \(0.994149\pi\)
\(264\) 0.591841 + 4.11635i 0.0364253 + 0.253344i
\(265\) 26.5777 + 7.25492i 1.63266 + 0.445666i
\(266\) 0.334126 0.214730i 0.0204866 0.0131659i
\(267\) 13.2803 + 11.5074i 0.812739 + 0.704242i
\(268\) 8.19743 + 3.74364i 0.500738 + 0.228679i
\(269\) 13.6032 + 8.74224i 0.829401 + 0.533024i 0.885087 0.465425i \(-0.154098\pi\)
−0.0556866 + 0.998448i \(0.517735\pi\)
\(270\) −2.21899 0.275848i −0.135043 0.0167876i
\(271\) 7.00171 + 8.08040i 0.425324 + 0.490850i 0.927451 0.373944i \(-0.121995\pi\)
−0.502128 + 0.864793i \(0.667449\pi\)
\(272\) −1.78801 + 6.08939i −0.108414 + 0.369224i
\(273\) −0.960271 + 0.438541i −0.0581183 + 0.0265417i
\(274\) 2.18777 15.2163i 0.132168 0.919250i
\(275\) 14.2076 + 15.1825i 0.856753 + 0.915538i
\(276\) 4.75613 0.615801i 0.286285 0.0370669i
\(277\) 9.05454i 0.544035i 0.962292 + 0.272017i \(0.0876908\pi\)
−0.962292 + 0.272017i \(0.912309\pi\)
\(278\) −20.1256 2.89362i −1.20705 0.173548i
\(279\) 2.03747 + 4.46145i 0.121980 + 0.267100i
\(280\) 0.317677 + 0.264806i 0.0189849 + 0.0158252i
\(281\) 3.11410 + 3.59386i 0.185772 + 0.214392i 0.840994 0.541044i \(-0.181971\pi\)
−0.655223 + 0.755436i \(0.727425\pi\)
\(282\) −0.687930 2.34287i −0.0409656 0.139516i
\(283\) −8.81608 + 13.7181i −0.524062 + 0.815456i −0.997874 0.0651699i \(-0.979241\pi\)
0.473813 + 0.880626i \(0.342877\pi\)
\(284\) 2.83208 6.20138i 0.168053 0.367984i
\(285\) −2.07789 4.32893i −0.123083 0.256424i
\(286\) 19.9685 12.8330i 1.18076 0.758829i
\(287\) −0.462514 + 0.0664994i −0.0273013 + 0.00392534i
\(288\) 0.989821 0.142315i 0.0583258 0.00838598i
\(289\) −19.5824 + 12.5849i −1.15191 + 0.740287i
\(290\) 4.74779 + 9.89121i 0.278800 + 0.580832i
\(291\) −0.747289 + 1.63634i −0.0438069 + 0.0959237i
\(292\) 7.88739 12.2730i 0.461575 0.718224i
\(293\) −5.50485 18.7478i −0.321597 1.09526i −0.948662 0.316291i \(-0.897562\pi\)
0.627065 0.778967i \(-0.284256\pi\)
\(294\) −4.56162 5.26439i −0.266039 0.307026i
\(295\) 18.6597 + 15.5542i 1.08641 + 0.905598i
\(296\) −2.59459 5.68135i −0.150807 0.330222i
\(297\) 4.11635 + 0.591841i 0.238855 + 0.0343421i
\(298\) 4.12571i 0.238996i
\(299\) −14.4743 23.2334i −0.837072 1.34362i
\(300\) 3.65080 3.41638i 0.210779 0.197245i
\(301\) −0.138910 + 0.966141i −0.00800665 + 0.0556874i
\(302\) 5.25364 2.39926i 0.302313 0.138062i
\(303\) 3.48119 11.8559i 0.199989 0.681101i
\(304\) 1.40627 + 1.62292i 0.0806549 + 0.0930807i
\(305\) −26.8525 3.33811i −1.53757 0.191139i
\(306\) 5.33899 + 3.43116i 0.305210 + 0.196146i
\(307\) −22.1282 10.1056i −1.26292 0.576757i −0.332450 0.943121i \(-0.607875\pi\)
−0.930472 + 0.366364i \(0.880602\pi\)
\(308\) −0.581297 0.503697i −0.0331225 0.0287008i
\(309\) −12.9015 + 8.29129i −0.733941 + 0.471675i
\(310\) −10.5801 2.88804i −0.600908 0.164030i
\(311\) −0.824021 5.73119i −0.0467259 0.324986i −0.999756 0.0221089i \(-0.992962\pi\)
0.953030 0.302877i \(-0.0979471\pi\)
\(312\) −3.08583 4.80164i −0.174701 0.271839i
\(313\) −9.56643 8.28936i −0.540727 0.468542i 0.341159 0.940006i \(-0.389181\pi\)
−0.881886 + 0.471463i \(0.843726\pi\)
\(314\) 0.543658 1.19044i 0.0306804 0.0671807i
\(315\) 0.343579 0.230205i 0.0193585 0.0129706i
\(316\) 15.7622 4.62820i 0.886693 0.260357i
\(317\) −4.65999 + 4.03790i −0.261731 + 0.226791i −0.775834 0.630937i \(-0.782670\pi\)
0.514103 + 0.857729i \(0.328125\pi\)
\(318\) −3.47117 + 11.8217i −0.194653 + 0.662928i
\(319\) −8.47666 18.5613i −0.474602 1.03923i
\(320\) −1.17272 + 1.90387i −0.0655571 + 0.106430i
\(321\) 12.1396 0.677564
\(322\) −0.590224 + 0.662137i −0.0328919 + 0.0368994i
\(323\) 13.6286i 0.758315i
\(324\) 0.142315 0.989821i 0.00790638 0.0549901i
\(325\) −26.3939 10.8542i −1.46407 0.602081i
\(326\) −10.5201 3.08898i −0.582654 0.171083i
\(327\) −1.54166 + 1.33586i −0.0852541 + 0.0738731i
\(328\) −0.711770 2.42407i −0.0393009 0.133847i
\(329\) 0.379926 + 0.244164i 0.0209460 + 0.0134612i
\(330\) −6.91006 + 6.22286i −0.380386 + 0.342557i
\(331\) 1.18166 1.36370i 0.0649497 0.0749560i −0.722345 0.691533i \(-0.756936\pi\)
0.787295 + 0.616577i \(0.211481\pi\)
\(332\) −0.304912 0.474453i −0.0167342 0.0260390i
\(333\) −6.18220 + 0.888866i −0.338782 + 0.0487096i
\(334\) −0.590436 4.10657i −0.0323072 0.224702i
\(335\) 3.24864 + 19.8874i 0.177492 + 1.08657i
\(336\) −0.121120 + 0.139779i −0.00660761 + 0.00762559i
\(337\) −11.5701 5.28387i −0.630262 0.287831i 0.0745587 0.997217i \(-0.476245\pi\)
−0.704820 + 0.709386i \(0.748972\pi\)
\(338\) −10.5847 + 16.4702i −0.575733 + 0.895858i
\(339\) 4.18342 1.22836i 0.227212 0.0667156i
\(340\) −13.5374 + 4.25772i −0.734167 + 0.230907i
\(341\) 19.5707 + 5.74648i 1.05981 + 0.311189i
\(342\) 1.95337 0.892074i 0.105626 0.0482378i
\(343\) 2.55675 + 0.367605i 0.138051 + 0.0198488i
\(344\) −5.27738 −0.284537
\(345\) 7.06368 + 8.06873i 0.380296 + 0.434406i
\(346\) 3.38437 0.181945
\(347\) 6.77192 + 0.973654i 0.363535 + 0.0522685i 0.321662 0.946854i \(-0.395758\pi\)
0.0418731 + 0.999123i \(0.486667\pi\)
\(348\) −4.46327 + 2.03831i −0.239256 + 0.109265i
\(349\) −8.48265 2.49073i −0.454066 0.133326i 0.0466992 0.998909i \(-0.485130\pi\)
−0.500765 + 0.865583i \(0.666948\pi\)
\(350\) −0.0965152 + 0.919723i −0.00515895 + 0.0491613i
\(351\) −5.47652 + 1.60805i −0.292315 + 0.0858314i
\(352\) 2.24835 3.49850i 0.119837 0.186471i
\(353\) −4.36065 1.99144i −0.232094 0.105994i 0.295974 0.955196i \(-0.404356\pi\)
−0.528067 + 0.849202i \(0.677083\pi\)
\(354\) −7.11431 + 8.21036i −0.378122 + 0.436376i
\(355\) 15.0449 2.45760i 0.798500 0.130436i
\(356\) −2.50080 17.3934i −0.132542 0.921851i
\(357\) −1.16186 + 0.167050i −0.0614922 + 0.00884125i
\(358\) 7.39224 + 11.5026i 0.390692 + 0.607929i
\(359\) 14.6981 16.9625i 0.775735 0.895246i −0.221058 0.975261i \(-0.570951\pi\)
0.996794 + 0.0800143i \(0.0254966\pi\)
\(360\) 1.49636 + 1.66160i 0.0788649 + 0.0875740i
\(361\) −12.1044 7.77904i −0.637075 0.409423i
\(362\) 3.64081 + 12.3995i 0.191357 + 0.651701i
\(363\) 4.75713 4.12208i 0.249685 0.216353i
\(364\) 1.01291 + 0.297417i 0.0530908 + 0.0155889i
\(365\) 32.6160 0.623741i 1.70720 0.0326481i
\(366\) 1.72218 11.9781i 0.0900200 0.626103i
\(367\) 11.7148i 0.611507i −0.952111 0.305753i \(-0.901092\pi\)
0.952111 0.305753i \(-0.0989083\pi\)
\(368\) −3.99771 2.64921i −0.208395 0.138100i
\(369\) −2.52640 −0.131519
\(370\) 7.32455 11.8911i 0.380785 0.618191i
\(371\) −0.946642 2.07286i −0.0491472 0.107617i
\(372\) 1.38181 4.70600i 0.0716433 0.243995i
\(373\) −6.68549 + 5.79301i −0.346162 + 0.299951i −0.810537 0.585688i \(-0.800824\pi\)
0.464375 + 0.885639i \(0.346279\pi\)
\(374\) 25.3238 7.43574i 1.30946 0.384493i
\(375\) 10.8904 + 2.52965i 0.562378 + 0.130630i
\(376\) −1.01435 + 2.22112i −0.0523113 + 0.114546i
\(377\) 21.1655 + 18.3400i 1.09008 + 0.944558i
\(378\) 0.0999940 + 0.155594i 0.00514314 + 0.00800288i
\(379\) 2.68086 + 18.6458i 0.137707 + 0.957770i 0.935119 + 0.354335i \(0.115293\pi\)
−0.797412 + 0.603435i \(0.793798\pi\)
\(380\) −1.26448 + 4.63231i −0.0648665 + 0.237633i
\(381\) 3.24219 2.08363i 0.166103 0.106748i
\(382\) 5.42663 + 4.70220i 0.277651 + 0.240586i
\(383\) 11.0887 + 5.06402i 0.566604 + 0.258760i 0.678056 0.735010i \(-0.262823\pi\)
−0.111452 + 0.993770i \(0.535550\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) 0.212173 1.70677i 0.0108134 0.0869851i
\(386\) 14.0091 + 16.1673i 0.713044 + 0.822896i
\(387\) −1.48681 + 5.06361i −0.0755788 + 0.257398i
\(388\) 1.63634 0.747289i 0.0830723 0.0379379i
\(389\) 1.27432 8.86309i 0.0646106 0.449377i −0.931677 0.363288i \(-0.881654\pi\)
0.996287 0.0860886i \(-0.0274368\pi\)
\(390\) 5.07894 11.7088i 0.257182 0.592896i
\(391\) −8.16411 29.3212i −0.412877 1.48284i
\(392\) 6.96579i 0.351826i
\(393\) 17.5476 + 2.52297i 0.885161 + 0.127267i
\(394\) 1.44627 + 3.16689i 0.0728621 + 0.159546i
\(395\) 28.2160 + 23.5200i 1.41970 + 1.18342i
\(396\) −2.72335 3.14292i −0.136854 0.157938i
\(397\) −1.35070 4.60006i −0.0677897 0.230870i 0.918629 0.395121i \(-0.129297\pi\)
−0.986419 + 0.164251i \(0.947479\pi\)
\(398\) 1.98460 3.08810i 0.0994789 0.154792i
\(399\) −0.164993 + 0.361285i −0.00825999 + 0.0180869i
\(400\) −4.99634 + 0.191168i −0.249817 + 0.00955840i
\(401\) −4.96815 + 3.19283i −0.248097 + 0.159442i −0.658779 0.752336i \(-0.728927\pi\)
0.410682 + 0.911779i \(0.365291\pi\)
\(402\) −8.92008 + 1.28251i −0.444893 + 0.0639660i
\(403\) −27.7096 + 3.98403i −1.38031 + 0.198459i
\(404\) −10.3948 + 6.68036i −0.517163 + 0.332360i
\(405\) 2.01587 0.967617i 0.100169 0.0480813i
\(406\) 0.376994 0.825503i 0.0187099 0.0409690i
\(407\) −14.0427 + 21.8508i −0.696070 + 1.08311i
\(408\) −1.78801 6.08939i −0.0885196 0.301470i
\(409\) 22.3285 + 25.7684i 1.10407 + 1.27417i 0.958585 + 0.284805i \(0.0919289\pi\)
0.145485 + 0.989360i \(0.453526\pi\)
\(410\) 3.61714 4.33934i 0.178638 0.214305i
\(411\) 6.38608 + 13.9836i 0.315002 + 0.689758i
\(412\) 15.1799 + 2.18255i 0.747862 + 0.107526i
\(413\) 2.00932i 0.0988722i
\(414\) −3.66819 + 3.08940i −0.180281 + 0.151836i
\(415\) 0.501852 1.15695i 0.0246350 0.0567924i
\(416\) −0.812294 + 5.64963i −0.0398260 + 0.276996i
\(417\) 18.4951 8.44645i 0.905711 0.413624i
\(418\) 2.51600 8.56871i 0.123062 0.419109i
\(419\) −6.56746 7.57925i −0.320841 0.370271i 0.572302 0.820043i \(-0.306051\pi\)
−0.893143 + 0.449772i \(0.851505\pi\)
\(420\) −0.410412 0.0510194i −0.0200261 0.00248949i
\(421\) −31.0905 19.9807i −1.51526 0.973798i −0.992623 0.121243i \(-0.961312\pi\)
−0.522637 0.852556i \(-0.675052\pi\)
\(422\) 3.61806 + 1.65231i 0.176124 + 0.0804334i
\(423\) 1.84538 + 1.59903i 0.0897253 + 0.0777474i
\(424\) 10.3649 6.66112i 0.503364 0.323493i
\(425\) −24.7587 19.8482i −1.20097 0.962778i
\(426\) 0.970226 + 6.74807i 0.0470076 + 0.326945i
\(427\) 1.21005 + 1.88288i 0.0585585 + 0.0911188i
\(428\) −9.17447 7.94972i −0.443465 0.384264i
\(429\) −9.86053 + 21.5915i −0.476071 + 1.04245i
\(430\) −6.56852 9.80348i −0.316762 0.472766i
\(431\) 16.5380 4.85600i 0.796609 0.233905i 0.141993 0.989868i \(-0.454649\pi\)
0.654615 + 0.755962i \(0.272831\pi\)
\(432\) −0.755750 + 0.654861i −0.0363610 + 0.0315070i
\(433\) −4.13586 + 14.0854i −0.198757 + 0.676903i 0.798440 + 0.602074i \(0.205659\pi\)
−0.997196 + 0.0748281i \(0.976159\pi\)
\(434\) 0.376840 + 0.825165i 0.0180889 + 0.0396092i
\(435\) −9.34168 5.75417i −0.447899 0.275891i
\(436\) 2.03991 0.0976940
\(437\) −9.83982 3.03993i −0.470702 0.145420i
\(438\) 14.5890i 0.697088i
\(439\) −4.13157 + 28.7357i −0.197189 + 1.37148i 0.615202 + 0.788369i \(0.289074\pi\)
−0.812392 + 0.583112i \(0.801835\pi\)
\(440\) 9.29738 0.177801i 0.443235 0.00847634i
\(441\) 6.68363 + 1.96249i 0.318268 + 0.0934519i
\(442\) −27.3762 + 23.7216i −1.30215 + 1.12832i
\(443\) 6.97586 + 23.7576i 0.331433 + 1.12876i 0.941670 + 0.336538i \(0.109256\pi\)
−0.610237 + 0.792219i \(0.708926\pi\)
\(444\) 5.25428 + 3.37672i 0.249357 + 0.160252i
\(445\) 29.1982 26.2944i 1.38413 1.24648i
\(446\) 0.381363 0.440117i 0.0180581 0.0208401i
\(447\) 2.23053 + 3.47077i 0.105500 + 0.164162i
\(448\) 0.183072 0.0263218i 0.00864934 0.00124359i
\(449\) 3.94484 + 27.4370i 0.186169 + 1.29483i 0.841816 + 0.539764i \(0.181487\pi\)
−0.655647 + 0.755067i \(0.727604\pi\)
\(450\) −1.22421 + 4.84782i −0.0577097 + 0.228528i
\(451\) −6.88029 + 7.94028i −0.323980 + 0.373893i
\(452\) −3.96603 1.81122i −0.186546 0.0851928i
\(453\) −3.12251 + 4.85872i −0.146708 + 0.228282i
\(454\) −13.5077 + 3.96621i −0.633947 + 0.186143i
\(455\) 0.708228 + 2.25180i 0.0332023 + 0.105566i
\(456\) −2.06044 0.605000i −0.0964890 0.0283317i
\(457\) −1.56167 + 0.713192i −0.0730520 + 0.0333617i −0.451606 0.892217i \(-0.649149\pi\)
0.378554 + 0.925579i \(0.376421\pi\)
\(458\) 17.6762 + 2.54146i 0.825956 + 0.118755i
\(459\) −6.34647 −0.296228
\(460\) −0.0544845 10.7237i −0.00254035 0.499994i
\(461\) −26.5370 −1.23595 −0.617976 0.786197i \(-0.712047\pi\)
−0.617976 + 0.786197i \(0.712047\pi\)
\(462\) 0.761337 + 0.109464i 0.0354206 + 0.00509272i
\(463\) −5.78109 + 2.64014i −0.268670 + 0.122698i −0.545195 0.838309i \(-0.683544\pi\)
0.276525 + 0.961007i \(0.410817\pi\)
\(464\) 4.70792 + 1.38237i 0.218560 + 0.0641750i
\(465\) 10.4619 3.29045i 0.485160 0.152591i
\(466\) 23.2666 6.83170i 1.07781 0.316473i
\(467\) 11.6970 18.2009i 0.541274 0.842239i −0.457625 0.889145i \(-0.651300\pi\)
0.998899 + 0.0469063i \(0.0149362\pi\)
\(468\) 5.19193 + 2.37107i 0.239997 + 0.109603i
\(469\) 1.09151 1.25966i 0.0504011 0.0581659i
\(470\) −5.38858 + 0.880230i −0.248556 + 0.0406020i
\(471\) 0.186249 + 1.29539i 0.00858189 + 0.0596884i
\(472\) 10.7533 1.54609i 0.494960 0.0711645i
\(473\) 11.8654 + 18.4629i 0.545572 + 0.848926i
\(474\) −10.7578 + 12.4152i −0.494123 + 0.570248i
\(475\) −10.1790 + 3.41668i −0.467045 + 0.156768i
\(476\) 0.987471 + 0.634609i 0.0452607 + 0.0290873i
\(477\) −3.47117 11.8217i −0.158934 0.541279i
\(478\) −4.42470 + 3.83403i −0.202381 + 0.175364i
\(479\) 0.980297 + 0.287841i 0.0447909 + 0.0131518i 0.304051 0.952656i \(-0.401661\pi\)
−0.259260 + 0.965807i \(0.583479\pi\)
\(480\) −0.0427543 2.23566i −0.00195146 0.102043i
\(481\) 5.07340 35.2863i 0.231327 1.60892i
\(482\) 19.6900i 0.896857i
\(483\) 0.138550 0.876124i 0.00630422 0.0398650i
\(484\) −6.29459 −0.286118
\(485\) 3.42487 + 2.10961i 0.155515 + 0.0957923i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) 7.17898 24.4493i 0.325310 1.10791i −0.620775 0.783989i \(-0.713182\pi\)
0.946086 0.323917i \(-0.105000\pi\)
\(488\) −9.14550 + 7.92462i −0.413997 + 0.358731i
\(489\) 10.5201 3.08898i 0.475735 0.139689i
\(490\) −12.9399 + 8.67001i −0.584567 + 0.391671i
\(491\) −18.2594 + 39.9826i −0.824037 + 1.80439i −0.295935 + 0.955208i \(0.595631\pi\)
−0.528102 + 0.849181i \(0.677096\pi\)
\(492\) 1.90933 + 1.65444i 0.0860791 + 0.0745880i
\(493\) 16.8356 + 26.1967i 0.758237 + 1.17984i
\(494\) 1.74434 + 12.1322i 0.0784817 + 0.545852i
\(495\) 2.44878 8.97087i 0.110064 0.403210i
\(496\) −4.12607 + 2.65167i −0.185266 + 0.119063i
\(497\) −0.952940 0.825728i −0.0427452 0.0370389i
\(498\) 0.513017 + 0.234287i 0.0229888 + 0.0104987i
\(499\) −21.9644 14.1157i −0.983262 0.631904i −0.0529206 0.998599i \(-0.516853\pi\)
−0.930341 + 0.366695i \(0.880489\pi\)
\(500\) −6.57385 9.04348i −0.293992 0.404437i
\(501\) 2.71689 + 3.13545i 0.121382 + 0.140082i
\(502\) −2.78269 + 9.47697i −0.124197 + 0.422978i
\(503\) −20.5470 + 9.38350i −0.916146 + 0.418390i −0.816970 0.576680i \(-0.804348\pi\)
−0.0991757 + 0.995070i \(0.531621\pi\)
\(504\) 0.0263218 0.183072i 0.00117247 0.00815468i
\(505\) −25.3477 10.9951i −1.12796 0.489278i
\(506\) −0.280024 + 19.9423i −0.0124486 + 0.886545i
\(507\) 19.5781i 0.869494i
\(508\) −3.81477 0.548481i −0.169253 0.0243349i
\(509\) −7.69332 16.8460i −0.341000 0.746686i 0.658985 0.752156i \(-0.270986\pi\)
−0.999985 + 0.00546993i \(0.998259\pi\)
\(510\) 9.08646 10.9007i 0.402355 0.482690i
\(511\) −1.76701 2.03924i −0.0781679 0.0902105i
\(512\) 0.281733 + 0.959493i 0.0124509 + 0.0424040i
\(513\) −1.16099 + 1.80653i −0.0512588 + 0.0797603i
\(514\) −3.66353 + 8.02201i −0.161591 + 0.353836i
\(515\) 14.8394 + 30.9154i 0.653903 + 1.36230i
\(516\) 4.43962 2.85317i 0.195443 0.125604i
\(517\) 10.0512 1.44515i 0.442053 0.0635576i
\(518\) −1.14343 + 0.164400i −0.0502393 + 0.00722332i
\(519\) −2.84712 + 1.82973i −0.124975 + 0.0803162i
\(520\) −11.5060 + 5.52289i −0.504572 + 0.242195i
\(521\) −16.8644 + 36.9279i −0.738843 + 1.61784i 0.0466049 + 0.998913i \(0.485160\pi\)
−0.785448 + 0.618928i \(0.787567\pi\)
\(522\) 2.65275 4.12776i 0.116108 0.180667i
\(523\) −1.56545 5.33142i −0.0684522 0.233127i 0.918160 0.396209i \(-0.129675\pi\)
−0.986612 + 0.163082i \(0.947856\pi\)
\(524\) −11.6094 13.3980i −0.507160 0.585294i
\(525\) −0.416046 0.825900i −0.0181577 0.0360452i
\(526\) −7.07490 15.4919i −0.308480 0.675478i
\(527\) −30.8105 4.42988i −1.34213 0.192969i
\(528\) 4.15868i 0.180983i
\(529\) 22.9909 + 0.645789i 0.999606 + 0.0280778i
\(530\) 25.2747 + 10.9635i 1.09786 + 0.476223i
\(531\) 1.54609 10.7533i 0.0670945 0.466653i
\(532\) 0.361285 0.164993i 0.0156637 0.00715336i
\(533\) 4.06259 13.8359i 0.175970 0.599299i
\(534\) 11.5074 + 13.2803i 0.497975 + 0.574693i
\(535\) 3.34868 26.9375i 0.144776 1.16461i
\(536\) 7.58121 + 4.87215i 0.327459 + 0.210445i
\(537\) −12.4375 5.68002i −0.536718 0.245111i
\(538\) 12.2206 + 10.5892i 0.526866 + 0.456532i
\(539\) 24.3698 15.6615i 1.04968 0.674590i
\(540\) −2.15714 0.588836i −0.0928287 0.0253394i
\(541\) 5.33096 + 37.0777i 0.229196 + 1.59409i 0.701508 + 0.712661i \(0.252510\pi\)
−0.472312 + 0.881431i \(0.656581\pi\)
\(542\) 5.78048 + 8.99461i 0.248293 + 0.386351i
\(543\) −9.76650 8.46272i −0.419121 0.363170i
\(544\) −2.63642 + 5.77295i −0.113036 + 0.247513i
\(545\) 2.53899 + 3.78942i 0.108758 + 0.162321i
\(546\) −1.01291 + 0.297417i −0.0433485 + 0.0127283i
\(547\) 17.3837 15.0630i 0.743272 0.644049i −0.198577 0.980085i \(-0.563632\pi\)
0.941849 + 0.336037i \(0.109087\pi\)
\(548\) 4.33101 14.7501i 0.185012 0.630091i
\(549\) 5.02703 + 11.0077i 0.214549 + 0.469796i
\(550\) 11.9023 + 17.0499i 0.507517 + 0.727010i
\(551\) 10.5367 0.448880
\(552\) 4.79536 + 0.0673348i 0.204104 + 0.00286596i
\(553\) 3.03837i 0.129204i
\(554\) −1.28860 + 8.96238i −0.0547472 + 0.380775i
\(555\) 0.267034 + 13.9634i 0.0113349 + 0.592714i
\(556\) −19.5089 5.72834i −0.827363 0.242936i
\(557\) 32.8176 28.4366i 1.39053 1.20490i 0.438560 0.898702i \(-0.355489\pi\)
0.951968 0.306197i \(-0.0990567\pi\)
\(558\) 1.38181 + 4.70600i 0.0584965 + 0.199221i
\(559\) −25.3401 16.2851i −1.07177 0.688786i
\(560\) 0.276758 + 0.307321i 0.0116952 + 0.0129867i
\(561\) −17.2837 + 19.9464i −0.729718 + 0.842139i
\(562\) 2.57094 + 4.00046i 0.108449 + 0.168749i
\(563\) 8.62933 1.24071i 0.363683 0.0522897i 0.0419488 0.999120i \(-0.486643\pi\)
0.321734 + 0.946830i \(0.395734\pi\)
\(564\) −0.347502 2.41693i −0.0146325 0.101771i
\(565\) −1.57173 9.62181i −0.0661234 0.404793i
\(566\) −10.6786 + 12.3238i −0.448856 + 0.518008i
\(567\) −0.168241 0.0768329i −0.00706544 0.00322668i
\(568\) 3.68580 5.73521i 0.154653 0.240644i
\(569\) 10.8087 3.17371i 0.453123 0.133049i −0.0472042 0.998885i \(-0.515031\pi\)
0.500327 + 0.865836i \(0.333213\pi\)
\(570\) −1.44067 4.58058i −0.0603429 0.191859i
\(571\) 2.70273 + 0.793593i 0.113106 + 0.0332108i 0.337796 0.941219i \(-0.390319\pi\)
−0.224690 + 0.974430i \(0.572137\pi\)
\(572\) 21.5915 9.86053i 0.902788 0.412289i
\(573\) −7.10738 1.02189i −0.296915 0.0426899i
\(574\) −0.467270 −0.0195035
\(575\) 19.8529 13.4485i 0.827924 0.560841i
\(576\) 1.00000 0.0416667
\(577\) 18.7407 + 2.69451i 0.780187 + 0.112174i 0.520890 0.853624i \(-0.325600\pi\)
0.259297 + 0.965798i \(0.416509\pi\)
\(578\) −21.1741 + 9.66990i −0.880728 + 0.402215i
\(579\) −20.5259 6.02695i −0.853028 0.250472i
\(580\) 3.29179 + 10.4662i 0.136684 + 0.434586i
\(581\) −0.100086 + 0.0293879i −0.00415227 + 0.00121922i
\(582\) −0.972558 + 1.51333i −0.0403138 + 0.0627295i
\(583\) −46.6079 21.2851i −1.93030 0.881539i
\(584\) 9.55374 11.0256i 0.395337 0.456243i
\(585\) 2.05756 + 12.5959i 0.0850695 + 0.520777i
\(586\) −2.78073 19.3404i −0.114871 0.798944i
\(587\) 39.3061 5.65137i 1.62234 0.233257i 0.729614 0.683860i \(-0.239700\pi\)
0.892725 + 0.450603i \(0.148791\pi\)
\(588\) −3.76599 5.86000i −0.155307 0.241662i
\(589\) −6.89727 + 7.95988i −0.284197 + 0.327981i
\(590\) 16.2562 + 18.0514i 0.669258 + 0.743164i
\(591\) −2.92883 1.88225i −0.120476 0.0774253i
\(592\) −1.75964 5.99277i −0.0723206 0.246301i
\(593\) −0.702890 + 0.609058i −0.0288643 + 0.0250110i −0.669173 0.743106i \(-0.733352\pi\)
0.640309 + 0.768117i \(0.278806\pi\)
\(594\) 3.99022 + 1.17163i 0.163721 + 0.0480727i
\(595\) 0.0501854 + 2.62424i 0.00205740 + 0.107583i
\(596\) 0.587150 4.08372i 0.0240506 0.167276i
\(597\) 3.67083i 0.150237i
\(598\) −11.0206 25.0568i −0.450664 1.02465i
\(599\) −2.79655 −0.114264 −0.0571320 0.998367i \(-0.518196\pi\)
−0.0571320 + 0.998367i \(0.518196\pi\)
\(600\) 4.09984 2.86205i 0.167375 0.116843i
\(601\) 5.59738 + 12.2565i 0.228322 + 0.499955i 0.988770 0.149443i \(-0.0477482\pi\)
−0.760449 + 0.649398i \(0.775021\pi\)
\(602\) −0.274992 + 0.936538i −0.0112079 + 0.0381704i
\(603\) 6.81067 5.90148i 0.277352 0.240327i
\(604\) 5.54162 1.62717i 0.225485 0.0662084i
\(605\) −7.83460 11.6931i −0.318522 0.475392i
\(606\) 5.13302 11.2398i 0.208515 0.456584i
\(607\) 0.220457 + 0.191027i 0.00894807 + 0.00775354i 0.659323 0.751860i \(-0.270843\pi\)
−0.650375 + 0.759613i \(0.725388\pi\)
\(608\) 1.16099 + 1.80653i 0.0470842 + 0.0732645i
\(609\) 0.129153 + 0.898276i 0.00523352 + 0.0364000i
\(610\) −26.1041 7.12564i −1.05692 0.288509i
\(611\) −11.7246 + 7.53493i −0.474326 + 0.304830i
\(612\) 4.79634 + 4.15605i 0.193881 + 0.167999i
\(613\) −19.1566 8.74852i −0.773727 0.353349i −0.0108905 0.999941i \(-0.503467\pi\)
−0.762836 + 0.646591i \(0.776194\pi\)
\(614\) −20.4648 13.1519i −0.825890 0.530768i
\(615\) −0.696904 + 5.60606i −0.0281019 + 0.226058i
\(616\) −0.503697 0.581297i −0.0202945 0.0234211i
\(617\) −0.289794 + 0.986949i −0.0116667 + 0.0397331i −0.965121 0.261806i \(-0.915682\pi\)
0.953454 + 0.301539i \(0.0975002\pi\)
\(618\) −13.9502 + 6.37082i −0.561158 + 0.256272i
\(619\) 5.53263 38.4803i 0.222375 1.54665i −0.506642 0.862157i \(-0.669113\pi\)
0.729017 0.684496i \(-0.239978\pi\)
\(620\) −10.0614 4.36435i −0.404075 0.175277i
\(621\) 1.41562 4.58214i 0.0568067 0.183875i
\(622\) 5.79012i 0.232163i
\(623\) −3.21700 0.462535i −0.128886 0.0185311i
\(624\) −2.37107 5.19193i −0.0949189 0.207843i
\(625\) 8.61736 23.4679i 0.344694 0.938715i
\(626\) −8.28936 9.56643i −0.331309 0.382352i
\(627\) 2.51600 + 8.56871i 0.100479 + 0.342201i
\(628\) 0.707542 1.10096i 0.0282340 0.0439330i
\(629\) 16.4665 36.0565i 0.656561 1.43767i
\(630\) 0.372844 0.178965i 0.0148545 0.00713015i
\(631\) 5.06079 3.25237i 0.201467 0.129475i −0.436017 0.899938i \(-0.643611\pi\)
0.637484 + 0.770463i \(0.279975\pi\)
\(632\) 16.2604 2.33790i 0.646805 0.0929965i
\(633\) −3.93702 + 0.566057i −0.156482 + 0.0224988i
\(634\) −5.18721 + 3.33362i −0.206010 + 0.132395i
\(635\) −3.72920 7.76915i −0.147989 0.308309i
\(636\) −5.11824 + 11.2074i −0.202951 + 0.444402i
\(637\) −21.4952 + 33.4472i −0.851672 + 1.32523i
\(638\) −5.74883 19.5787i −0.227598 0.775129i
\(639\) −4.46449 5.15229i −0.176612 0.203822i
\(640\) −1.43173 + 1.71760i −0.0565943 + 0.0678940i
\(641\) −7.44370 16.2994i −0.294008 0.643789i 0.703769 0.710429i \(-0.251499\pi\)
−0.997777 + 0.0666405i \(0.978772\pi\)
\(642\) 12.0160 + 1.72764i 0.474234 + 0.0681845i
\(643\) 7.08335i 0.279340i −0.990198 0.139670i \(-0.955396\pi\)
0.990198 0.139670i \(-0.0446042\pi\)
\(644\) −0.678448 + 0.571400i −0.0267346 + 0.0225163i
\(645\) 10.8260 + 4.69600i 0.426272 + 0.184905i
\(646\) −1.93955 + 13.4899i −0.0763106 + 0.530752i
\(647\) −44.8445 + 20.4798i −1.76302 + 0.805144i −0.779013 + 0.627008i \(0.784279\pi\)
−0.984006 + 0.178135i \(0.942994\pi\)
\(648\) 0.281733 0.959493i 0.0110675 0.0376924i
\(649\) −29.5861 34.1442i −1.16136 1.34028i
\(650\) −24.5806 14.4999i −0.964129 0.568734i
\(651\) −0.763136 0.490438i −0.0299097 0.0192218i
\(652\) −9.97341 4.55471i −0.390589 0.178376i
\(653\) 15.7791 + 13.6727i 0.617484 + 0.535053i 0.906464 0.422282i \(-0.138771\pi\)
−0.288981 + 0.957335i \(0.593316\pi\)
\(654\) −1.71608 + 1.10286i −0.0671041 + 0.0431252i
\(655\) 10.4389 38.2420i 0.407883 1.49424i
\(656\) −0.359545 2.50069i −0.0140379 0.0976354i
\(657\) −7.88739 12.2730i −0.307716 0.478816i
\(658\) 0.341311 + 0.295748i 0.0133057 + 0.0115294i
\(659\) −14.0680 + 30.8046i −0.548010 + 1.19998i 0.409695 + 0.912223i \(0.365635\pi\)
−0.957705 + 0.287752i \(0.907092\pi\)
\(660\) −7.72533 + 5.17612i −0.300708 + 0.201480i
\(661\) 19.3339 5.67694i 0.752001 0.220808i 0.116802 0.993155i \(-0.462736\pi\)
0.635200 + 0.772348i \(0.280918\pi\)
\(662\) 1.36370 1.18166i 0.0530019 0.0459264i
\(663\) 10.2055 34.7566i 0.396347 1.34983i
\(664\) −0.234287 0.513017i −0.00909210 0.0199089i
\(665\) 0.756173 + 0.465778i 0.0293231 + 0.0180621i
\(666\) −6.24577 −0.242019
\(667\) −22.6693 + 6.31196i −0.877757 + 0.244400i
\(668\) 4.14880i 0.160522i
\(669\) −0.0828782 + 0.576430i −0.00320426 + 0.0222861i
\(670\) 0.385293 + 20.1473i 0.0148852 + 0.778359i
\(671\) 48.2866 + 14.1782i 1.86408 + 0.547344i
\(672\) −0.139779 + 0.121120i −0.00539211 + 0.00467229i
\(673\) 1.15615 + 3.93749i 0.0445664 + 0.151779i 0.978770 0.204960i \(-0.0657066\pi\)
−0.934204 + 0.356740i \(0.883888\pi\)
\(674\) −10.7003 6.87668i −0.412161 0.264880i
\(675\) −1.59106 4.74010i −0.0612398 0.182446i
\(676\) −12.8209 + 14.7961i −0.493113 + 0.569083i
\(677\) −17.4042 27.0814i −0.668896 1.04082i −0.995417 0.0956330i \(-0.969512\pi\)
0.326520 0.945190i \(-0.394124\pi\)
\(678\) 4.31566 0.620498i 0.165742 0.0238301i
\(679\) −0.0473502 0.329328i −0.00181713 0.0126384i
\(680\) −14.0055 + 2.28782i −0.537087 + 0.0877338i
\(681\) 9.21908 10.6394i 0.353276 0.407702i
\(682\) 18.5537 + 8.47320i 0.710458 + 0.324455i
\(683\) −4.65261 + 7.23960i −0.178027 + 0.277016i −0.918786 0.394755i \(-0.870829\pi\)
0.740759 + 0.671770i \(0.234466\pi\)
\(684\) 2.06044 0.605000i 0.0787830 0.0231328i
\(685\) 32.7909 10.3133i 1.25288 0.394050i
\(686\) 2.47841 + 0.727726i 0.0946260 + 0.0277847i
\(687\) −16.2442 + 7.41848i −0.619755 + 0.283033i
\(688\) −5.22366 0.751050i −0.199150 0.0286335i
\(689\) 70.3236 2.67912
\(690\) 5.84349 + 8.99187i 0.222458 + 0.342314i
\(691\) −46.7648 −1.77902 −0.889509 0.456918i \(-0.848953\pi\)
−0.889509 + 0.456918i \(0.848953\pi\)
\(692\) 3.34992 + 0.481646i 0.127345 + 0.0183095i
\(693\) −0.699658 + 0.319523i −0.0265778 + 0.0121377i
\(694\) 6.56442 + 1.92749i 0.249182 + 0.0731664i
\(695\) −13.6407 43.3704i −0.517422 1.64513i
\(696\) −4.70792 + 1.38237i −0.178453 + 0.0523986i
\(697\) 8.66849 13.4884i 0.328343 0.510911i
\(698\) −8.04184 3.67259i −0.304388 0.139009i
\(699\) −15.8796 + 18.3261i −0.600623 + 0.693156i
\(700\) −0.226423 + 0.896626i −0.00855799 + 0.0338893i
\(701\) −3.69931 25.7292i −0.139721 0.971780i −0.932216 0.361902i \(-0.882127\pi\)
0.792495 0.609878i \(-0.208782\pi\)
\(702\) −5.64963 + 0.812294i −0.213231 + 0.0306581i
\(703\) −7.25126 11.2832i −0.273486 0.425553i
\(704\) 2.72335 3.14292i 0.102640 0.118453i
\(705\) 4.05727 3.65378i 0.152806 0.137609i
\(706\) −4.03285 2.59176i −0.151778 0.0975420i
\(707\) 0.643863 + 2.19280i 0.0242150 + 0.0824686i
\(708\) −8.21036 + 7.11431i −0.308564 + 0.267372i
\(709\) 31.3771 + 9.21313i 1.17839 + 0.346007i 0.811553 0.584279i \(-0.198623\pi\)
0.366837 + 0.930285i \(0.380441\pi\)
\(710\) 15.2415 0.291476i 0.572004 0.0109389i
\(711\) 2.33790 16.2604i 0.0876779 0.609813i
\(712\) 17.5723i 0.658550i
\(713\) 10.0708 21.2570i 0.377156 0.796082i
\(714\) −1.17381 −0.0439287
\(715\) 45.1914 + 27.8364i 1.69006 + 1.04102i
\(716\) 5.68002 + 12.4375i 0.212272 + 0.464811i
\(717\) 1.64947 5.61757i 0.0616004 0.209792i
\(718\) 16.9625 14.6981i 0.633035 0.548528i
\(719\) 21.6091 6.34500i 0.805883 0.236629i 0.147256 0.989098i \(-0.452956\pi\)
0.658627 + 0.752470i \(0.271138\pi\)
\(720\) 1.24466 + 1.85764i 0.0463856 + 0.0692302i
\(721\) 1.17831 2.58015i 0.0438827 0.0960897i
\(722\) −10.8741 9.42250i −0.404694 0.350669i
\(723\) 10.6452 + 16.5643i 0.395901 + 0.616034i
\(724\) 1.83912 + 12.7914i 0.0683505 + 0.475388i
\(725\) −15.3453 + 19.1418i −0.569911 + 0.710909i
\(726\) 5.29535 3.40311i 0.196529 0.126301i
\(727\) 13.3300 + 11.5505i 0.494384 + 0.428386i 0.866033 0.499988i \(-0.166662\pi\)
−0.371649 + 0.928373i \(0.621208\pi\)
\(728\) 0.960271 + 0.438541i 0.0355900 + 0.0162534i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 32.3727 + 4.02434i 1.19817 + 0.148948i
\(731\) −21.9331 25.3121i −0.811224 0.936203i
\(732\) 3.40931 11.6110i 0.126012 0.429157i
\(733\) −28.5202 + 13.0248i −1.05342 + 0.481080i −0.865398 0.501085i \(-0.832935\pi\)
−0.188021 + 0.982165i \(0.560207\pi\)
\(734\) 1.66719 11.5955i 0.0615370 0.428000i
\(735\) 6.19841 14.2895i 0.228632 0.527078i
\(736\) −3.58000 3.19118i −0.131960 0.117628i
\(737\) 37.4772i 1.38049i
\(738\) −2.50069 0.359545i −0.0920516 0.0132350i
\(739\) −0.546267 1.19616i −0.0200947 0.0440013i 0.899319 0.437294i \(-0.144063\pi\)
−0.919413 + 0.393293i \(0.871336\pi\)
\(740\) 8.94228 10.7277i 0.328725 0.394359i
\(741\) −8.02658 9.26316i −0.294864 0.340291i
\(742\) −0.642008 2.18648i −0.0235689 0.0802682i
\(743\) −21.8748 + 34.0379i −0.802510 + 1.24873i 0.162550 + 0.986700i \(0.448028\pi\)
−0.965060 + 0.262029i \(0.915608\pi\)
\(744\) 2.03747 4.46145i 0.0746974 0.163565i
\(745\) 8.31688 3.99211i 0.304707 0.146260i
\(746\) −7.44188 + 4.78260i −0.272466 + 0.175104i
\(747\) −0.558243 + 0.0802632i −0.0204250 + 0.00293668i
\(748\) 26.1243 3.75610i 0.955198 0.137337i
\(749\) −1.88884 + 1.21388i −0.0690167 + 0.0443543i
\(750\) 10.4195 + 4.05377i 0.380468 + 0.148023i
\(751\) 19.8169 43.3930i 0.723130 1.58343i −0.0863344 0.996266i \(-0.527515\pi\)
0.809465 0.587168i \(-0.199757\pi\)
\(752\) −1.32013 + 2.05416i −0.0481401 + 0.0749075i
\(753\) −2.78269 9.47697i −0.101407 0.345360i
\(754\) 18.3400 + 21.1655i 0.667904 + 0.770802i
\(755\) 9.92010 + 8.26908i 0.361029 + 0.300942i
\(756\) 0.0768329 + 0.168241i 0.00279439 + 0.00611885i
\(757\) −16.6307 2.39113i −0.604453 0.0869072i −0.166708 0.986006i \(-0.553314\pi\)
−0.437745 + 0.899099i \(0.644223\pi\)
\(758\) 18.8375i 0.684210i
\(759\) −10.5461 16.9280i −0.382798 0.614446i
\(760\) −1.91086 + 4.40521i −0.0693141 + 0.159794i
\(761\) 1.37004 9.52885i 0.0496640 0.345421i −0.949805 0.312842i \(-0.898719\pi\)
0.999469 0.0325786i \(-0.0103719\pi\)
\(762\) 3.50572 1.60101i 0.126999 0.0579985i
\(763\) 0.106295 0.362008i 0.00384814 0.0131056i
\(764\) 4.70220 + 5.42663i 0.170120 + 0.196329i
\(765\) −1.75066 + 14.0827i −0.0632954 + 0.509163i
\(766\) 10.2551 + 6.59056i 0.370532 + 0.238127i
\(767\) 56.4044 + 25.7590i 2.03664 + 0.930104i
\(768\) −0.755750 0.654861i −0.0272708 0.0236303i
\(769\) 3.62571 2.33011i 0.130747 0.0840257i −0.473633 0.880723i \(-0.657058\pi\)
0.604379 + 0.796697i \(0.293421\pi\)
\(770\) 0.452913 1.65920i 0.0163218 0.0597935i
\(771\) −1.25507 8.72920i −0.0452002 0.314374i
\(772\) 11.5656 + 17.9965i 0.416256 + 0.647708i
\(773\) −6.71972 5.82267i −0.241691 0.209427i 0.525589 0.850739i \(-0.323845\pi\)