Properties

Label 690.2.r.b.49.10
Level $690$
Weight $2$
Character 690.49
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
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.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 49.10
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.10

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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 0.859637 0.510906i \(-0.170690\pi\)
−0.821842 + 0.569715i \(0.807054\pi\)
\(8\) 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 0.681911 + 0.731435i \(0.261149\pi\)
−0.860358 + 0.509690i \(0.829760\pi\)
\(12\) −0.989821 0.142315i −0.285737 0.0410828i
\(13\) 3.08583 4.80164i 0.855855 1.33174i −0.0862003 0.996278i \(-0.527473\pi\)
0.942055 0.335458i \(-0.108891\pi\)
\(14\) 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 −0.395808 0.918333i \(-0.629535\pi\)
0.829463 0.558562i \(-0.188647\pi\)
\(18\) 0.755750 + 0.654861i 0.178132 + 0.154352i
\(19\) 2.06044 0.605000i 0.472698 0.138797i −0.0367026 0.999326i \(-0.511685\pi\)
0.509400 + 0.860530i \(0.329867\pi\)
\(20\) 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 0.687917 0.725789i \(-0.258525\pi\)
0.186322 + 0.982489i \(0.440343\pi\)
\(30\) −1.24466 + 1.85764i −0.227242 + 0.339157i
\(31\) −2.03747 4.46145i −0.365941 0.801299i −0.999616 0.0277001i \(-0.991182\pi\)
0.633675 0.773599i \(-0.281546\pi\)
\(32\) 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 −0.949970 0.312341i \(-0.898887\pi\)
0.173967 + 0.984751i \(0.444341\pi\)
\(38\) 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 −0.870087 0.492898i \(-0.835938\pi\)
0.611707 + 0.791084i \(0.290483\pi\)
\(42\) −0.0521077 0.177463i −0.00804040 0.0273831i
\(43\) −4.80047 2.19230i −0.732066 0.334323i 0.0142653 0.999898i \(-0.495459\pi\)
−0.746331 + 0.665575i \(0.768186\pi\)
\(44\) 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 \(-0.943010\pi\)
0.984015 0.178085i \(-0.0569903\pi\)
\(48\) −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 0.905769 + 0.423771i \(0.139294\pi\)
0.00920600 + 0.999958i \(0.497070\pi\)
\(54\) −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 0.977168 0.212468i \(-0.0681502\pi\)
0.212662 + 0.977126i \(0.431787\pi\)
\(60\) −0.967617 + 2.01587i −0.124919 + 0.260247i
\(61\) −5.02703 11.0077i −0.643646 1.40939i −0.897007 0.442016i \(-0.854263\pi\)
0.253362 0.967372i \(-0.418464\pi\)
\(62\) −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 0.426070 0.904690i \(-0.359898\pi\)
0.663692 + 0.748006i \(0.268989\pi\)
\(68\) 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 0.962783 + 0.270274i \(0.0871145\pi\)
−0.847639 + 0.530574i \(0.821976\pi\)
\(72\) 0.909632 + 0.415415i 0.107201 + 0.0489571i
\(73\) 4.11019 + 13.9980i 0.481061 + 1.63834i 0.740115 + 0.672481i \(0.234771\pi\)
−0.259054 + 0.965863i \(0.583411\pi\)
\(74\) −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 0.983996 + 0.178189i \(0.0570238\pi\)
0.570853 + 0.821052i \(0.306613\pi\)
\(80\) −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 −0.677939 0.735118i \(-0.737127\pi\)
0.631155 + 0.775657i \(0.282581\pi\)
\(84\) −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 −0.0556235 + 0.998452i \(0.517715\pi\)
−0.718154 + 0.695884i \(0.755013\pi\)
\(90\) 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 0.721143 0.692786i \(-0.243617\pi\)
−0.583105 + 0.812397i \(0.698162\pi\)
\(98\) 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 0.193497 0.981101i \(-0.438017\pi\)
−0.998652 + 0.0519026i \(0.983471\pi\)
\(102\) −3.43116 + 5.33899i −0.339736 + 0.528639i
\(103\) 15.1799 + 2.18255i 1.49572 + 0.215053i 0.841091 0.540894i \(-0.181914\pi\)
0.654633 + 0.755946i \(0.272823\pi\)
\(104\) 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 −0.870139 0.492806i \(-0.835971\pi\)
−0.197383 + 0.980327i \(0.563244\pi\)
\(108\) −0.540641 0.841254i −0.0520232 0.0809497i
\(109\) 1.95728 + 0.574709i 0.187473 + 0.0550472i 0.374122 0.927380i \(-0.377944\pi\)
−0.186648 + 0.982427i \(0.559762\pi\)
\(110\) 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 −0.342281 0.939597i \(-0.611200\pi\)
−0.0637014 + 0.997969i \(0.520291\pi\)
\(114\) −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 −0.0290343 0.999578i \(-0.509243\pi\)
−0.309472 + 0.950909i \(0.600152\pi\)
\(128\) 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 −0.993538 0.113500i \(-0.963794\pi\)
−0.309488 + 0.950903i \(0.600158\pi\)
\(132\) 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 \(0.228045\pi\)
−0.754159 + 0.656692i \(0.771955\pi\)
\(138\) 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 0.951534 + 0.307543i \(0.0995069\pi\)
−0.999635 + 0.0270077i \(0.991402\pi\)
\(150\) 3.12743 + 3.90117i 0.255354 + 0.318529i
\(151\) 4.85872 + 3.12251i 0.395397 + 0.254106i 0.723198 0.690641i \(-0.242671\pi\)
−0.327801 + 0.944747i \(0.606308\pi\)
\(152\) 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 0.972897 0.231240i \(-0.0742784\pi\)
−0.943471 + 0.331456i \(0.892460\pi\)
\(158\) 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 −0.553549 0.832817i \(-0.686727\pi\)
−0.296495 + 0.955035i \(0.595818\pi\)
\(164\) −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 −0.992275 0.124060i \(-0.960409\pi\)
0.901826 + 0.432099i \(0.142227\pi\)
\(168\) −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 0.268477 0.963286i \(-0.413480\pi\)
−0.0137871 + 0.999905i \(0.504389\pi\)
\(174\) −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 −0.315007 0.949089i \(-0.602007\pi\)
0.984259 + 0.176731i \(0.0565523\pi\)
\(180\) 1.71760 1.43173i 0.128022 0.106715i
\(181\) 5.36838 11.7551i 0.399028 0.873750i −0.598339 0.801243i \(-0.704173\pi\)
0.997368 0.0725077i \(-0.0231002\pi\)
\(182\) 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 −0.303539 0.952819i \(-0.598168\pi\)
0.740620 + 0.671924i \(0.234532\pi\)
\(192\) −0.909632 + 0.415415i −0.0656470 + 0.0299800i
\(193\) 16.1673 14.0091i 1.16375 1.00840i 0.163992 0.986462i \(-0.447563\pi\)
0.999759 0.0219343i \(-0.00698247\pi\)
\(194\) 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 −0.767706 0.640802i \(-0.778602\pi\)
0.901811 + 0.432131i \(0.142238\pi\)
\(198\) −3.14292 + 2.72335i −0.223357 + 0.193540i
\(199\) 1.52492 + 3.33910i 0.108098 + 0.236703i 0.955949 0.293533i \(-0.0948309\pi\)
−0.847851 + 0.530235i \(0.822104\pi\)
\(200\) −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 −0.147714 0.989030i \(-0.547192\pi\)
0.410445 + 0.911885i \(0.365373\pi\)
\(212\) 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 0.851635 0.524135i \(-0.175611\pi\)
−0.830552 + 0.556941i \(0.811975\pi\)
\(224\) 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 −0.0576817 0.998335i \(-0.518371\pi\)
−0.792265 + 0.610177i \(0.791098\pi\)
\(228\) −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 0.974896 0.222662i \(-0.0714748\pi\)
0.470144 + 0.882590i \(0.344202\pi\)
\(234\) 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 0.618076 0.786119i \(-0.287913\pi\)
−0.866078 + 0.499908i \(0.833367\pi\)
\(240\) −0.360487 + 2.20682i −0.0232693 + 0.142450i
\(241\) −2.80219 + 19.4896i −0.180505 + 1.25544i 0.675068 + 0.737755i \(0.264114\pi\)
−0.855573 + 0.517682i \(0.826795\pi\)
\(242\) −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 −0.984866 0.173320i \(-0.944550\pi\)
0.896142 0.443768i \(-0.146359\pi\)
\(252\) 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 0.844991 0.534780i \(-0.179605\pi\)
−0.999976 + 0.00695146i \(0.997787\pi\)
\(258\) 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 −0.999831 0.0183814i \(-0.994149\pi\)
0.432065 + 0.901842i \(0.357785\pi\)
\(264\) 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 −0.0556866 0.998448i \(-0.517735\pi\)
0.885087 + 0.465425i \(0.154098\pi\)
\(270\) −2.21899 + 0.275848i −0.135043 + 0.0167876i
\(271\) 7.00171 8.08040i 0.425324 0.490850i −0.502128 0.864793i \(-0.667449\pi\)
0.927451 + 0.373944i \(0.121995\pi\)
\(272\) −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 \(-0.912309\pi\)
0.962292 0.272017i \(-0.0876908\pi\)
\(278\) −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 −0.655223 0.755436i \(-0.727425\pi\)
0.840994 + 0.541044i \(0.181971\pi\)
\(282\) −0.687930 + 2.34287i −0.0409656 + 0.139516i
\(283\) −8.81608 13.7181i −0.524062 0.815456i 0.473813 0.880626i \(-0.342877\pi\)
−0.997874 + 0.0651699i \(0.979241\pi\)
\(284\) 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 0.627065 + 0.778967i \(0.284256\pi\)
−0.948662 + 0.316291i \(0.897562\pi\)
\(294\) −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 −0.930472 0.366364i \(-0.880602\pi\)
−0.332450 + 0.943121i \(0.607875\pi\)
\(308\) −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 0.953030 + 0.302877i \(0.0979471\pi\)
−0.999756 + 0.0221089i \(0.992962\pi\)
\(312\) −3.08583 + 4.80164i −0.174701 + 0.271839i
\(313\) −9.56643 + 8.28936i −0.540727 + 0.468542i −0.881886 0.471463i \(-0.843726\pi\)
0.341159 + 0.940006i \(0.389181\pi\)
\(314\) 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 0.514103 0.857729i \(-0.328125\pi\)
−0.775834 + 0.630937i \(0.782670\pi\)
\(318\) −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 0.787295 0.616577i \(-0.211481\pi\)
−0.722345 + 0.691533i \(0.756936\pi\)
\(332\) −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 −0.704820 0.709386i \(-0.748972\pi\)
0.0745587 + 0.997217i \(0.476245\pi\)
\(338\) −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 0.0418731 0.999123i \(-0.486667\pi\)
0.321662 + 0.946854i \(0.395758\pi\)
\(348\) −4.46327 2.03831i −0.239256 0.109265i
\(349\) −8.48265 + 2.49073i −0.454066 + 0.133326i −0.500765 0.865583i \(-0.666948\pi\)
0.0466992 + 0.998909i \(0.485130\pi\)
\(350\) −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 −0.528067 0.849202i \(-0.677083\pi\)
0.295974 + 0.955196i \(0.404356\pi\)
\(354\) −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 0.996794 0.0800143i \(-0.0254966\pi\)
−0.221058 + 0.975261i \(0.570951\pi\)
\(360\) 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 \(0.0989083\pi\)
−0.952111 + 0.305753i \(0.901092\pi\)
\(368\) −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 0.464375 0.885639i \(-0.346279\pi\)
−0.810537 + 0.585688i \(0.800824\pi\)
\(374\) 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 −0.797412 0.603435i \(-0.793798\pi\)
0.935119 0.354335i \(-0.115293\pi\)
\(380\) −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 −0.111452 0.993770i \(-0.535550\pi\)
0.678056 + 0.735010i \(0.262823\pi\)
\(384\) −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 0.996287 + 0.0860886i \(0.0274368\pi\)
−0.931677 + 0.363288i \(0.881654\pi\)
\(390\) 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 −0.986419 0.164251i \(-0.947479\pi\)
0.918629 + 0.395121i \(0.129297\pi\)
\(398\) 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 0.410682 0.911779i \(-0.365291\pi\)
−0.658779 + 0.752336i \(0.728927\pi\)
\(402\) −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 0.145485 0.989360i \(-0.453526\pi\)
0.958585 0.284805i \(-0.0919289\pi\)
\(410\) 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 −0.893143 0.449772i \(-0.851505\pi\)
0.572302 + 0.820043i \(0.306051\pi\)
\(420\) −0.410412 + 0.0510194i −0.0200261 + 0.00248949i
\(421\) −31.0905 + 19.9807i −1.51526 + 0.973798i −0.522637 + 0.852556i \(0.675052\pi\)
−0.992623 + 0.121243i \(0.961312\pi\)
\(422\) 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 0.654615 0.755962i \(-0.272831\pi\)
0.141993 + 0.989868i \(0.454649\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −4.13586 14.0854i −0.198757 0.676903i −0.997196 0.0748281i \(-0.976159\pi\)
0.798440 0.602074i \(-0.205659\pi\)
\(434\) 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 −0.812392 0.583112i \(-0.801835\pi\)
0.615202 0.788369i \(-0.289074\pi\)
\(440\) 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 −0.610237 0.792219i \(-0.708926\pi\)
0.941670 0.336538i \(-0.109256\pi\)
\(444\) 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 −0.655647 0.755067i \(-0.727604\pi\)
0.841816 0.539764i \(-0.181487\pi\)
\(450\) −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 0.378554 0.925579i \(-0.376421\pi\)
−0.451606 + 0.892217i \(0.649149\pi\)
\(458\) 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 0.276525 0.961007i \(-0.410817\pi\)
−0.545195 + 0.838309i \(0.683544\pi\)
\(464\) 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 0.998899 0.0469063i \(-0.0149362\pi\)
−0.457625 + 0.889145i \(0.651300\pi\)
\(468\) 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 −0.259260 0.965807i \(-0.583479\pi\)
0.304051 + 0.952656i \(0.401661\pi\)
\(480\) −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 0.946086 + 0.323917i \(0.105000\pi\)
−0.620775 + 0.783989i \(0.713182\pi\)
\(488\) −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 −0.528102 0.849181i \(-0.677096\pi\)
−0.295935 0.955208i \(-0.595631\pi\)
\(492\) 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 −0.930341 0.366695i \(-0.880489\pi\)
−0.0529206 + 0.998599i \(0.516853\pi\)
\(500\) −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 −0.0991757 0.995070i \(-0.531621\pi\)
−0.816970 + 0.576680i \(0.804348\pi\)
\(504\) 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 −0.999985 0.00546993i \(-0.998259\pi\)
0.658985 + 0.752156i \(0.270986\pi\)
\(510\) 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 −0.785448 0.618928i \(-0.787567\pi\)
0.0466049 0.998913i \(-0.485160\pi\)
\(522\) 2.65275 + 4.12776i 0.116108 + 0.180667i
\(523\) −1.56545 + 5.33142i −0.0684522 + 0.233127i −0.986612 0.163082i \(-0.947856\pi\)
0.918160 + 0.396209i \(0.129675\pi\)
\(524\) −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 −0.472312 0.881431i \(-0.656581\pi\)
0.701508 0.712661i \(-0.252510\pi\)
\(542\) 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 0.941849 0.336037i \(-0.109087\pi\)
−0.198577 + 0.980085i \(0.563632\pi\)
\(548\) 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 0.951968 + 0.306197i \(0.0990567\pi\)
0.438560 + 0.898702i \(0.355489\pi\)
\(558\) 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 0.321734 0.946830i \(-0.395734\pi\)
0.0419488 + 0.999120i \(0.486643\pi\)
\(564\) −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 0.500327 0.865836i \(-0.333213\pi\)
−0.0472042 + 0.998885i \(0.515031\pi\)
\(570\) −1.44067 + 4.58058i −0.0603429 + 0.191859i
\(571\) 2.70273 0.793593i 0.113106 0.0332108i −0.224690 0.974430i \(-0.572137\pi\)
0.337796 + 0.941219i \(0.390319\pi\)
\(572\) 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 0.259297 0.965798i \(-0.416509\pi\)
0.520890 + 0.853624i \(0.325600\pi\)
\(578\) −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 0.892725 0.450603i \(-0.148791\pi\)
0.729614 + 0.683860i \(0.239700\pi\)
\(588\) −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 0.640309 0.768117i \(-0.278806\pi\)
−0.669173 + 0.743106i \(0.733352\pi\)
\(594\) 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 −0.760449 0.649398i \(-0.775021\pi\)
0.988770 + 0.149443i \(0.0477482\pi\)
\(602\) −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 −0.650375 0.759613i \(-0.725388\pi\)
0.659323 + 0.751860i \(0.270843\pi\)
\(608\) 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 −0.762836 0.646591i \(-0.776194\pi\)
−0.0108905 + 0.999941i \(0.503467\pi\)
\(614\) −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 0.953454 0.301539i \(-0.0975002\pi\)
−0.965121 + 0.261806i \(0.915682\pi\)
\(618\) −13.9502 6.37082i −0.561158 0.256272i
\(619\) 5.53263 + 38.4803i 0.222375 + 1.54665i 0.729017 + 0.684496i \(0.239978\pi\)
−0.506642 + 0.862157i \(0.669113\pi\)
\(620\) −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 0.637484 0.770463i \(-0.279975\pi\)
−0.436017 + 0.899938i \(0.643611\pi\)
\(632\) 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 −0.997777 0.0666405i \(-0.978772\pi\)
0.703769 + 0.710429i \(0.251499\pi\)
\(642\) 12.0160 1.72764i 0.474234 0.0681845i
\(643\) 7.08335i 0.279340i 0.990198 + 0.139670i \(0.0446042\pi\)
−0.990198 + 0.139670i \(0.955396\pi\)
\(644\) −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 −0.984006 0.178135i \(-0.942994\pi\)
−0.779013 0.627008i \(-0.784279\pi\)
\(648\) 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 −0.288981 0.957335i \(-0.593316\pi\)
0.906464 + 0.422282i \(0.138771\pi\)
\(654\) −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 −0.957705 0.287752i \(-0.907092\pi\)
0.409695 0.912223i \(-0.365635\pi\)
\(660\) −7.72533 5.17612i −0.300708 0.201480i
\(661\) 19.3339 + 5.67694i 0.752001 + 0.220808i 0.635200 0.772348i \(-0.280918\pi\)
0.116802 + 0.993155i \(0.462736\pi\)
\(662\) 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 −0.934204 0.356740i \(-0.883888\pi\)
0.978770 + 0.204960i \(0.0657066\pi\)
\(674\) −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 0.326520 + 0.945190i \(0.394124\pi\)
−0.995417 + 0.0956330i \(0.969512\pi\)
\(678\) 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 0.740759 0.671770i \(-0.234466\pi\)
−0.918786 + 0.394755i \(0.870829\pi\)
\(684\) 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 0.792495 + 0.609878i \(0.208782\pi\)
−0.932216 + 0.361902i \(0.882127\pi\)
\(702\) −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 0.366837 0.930285i \(-0.380441\pi\)
0.811553 + 0.584279i \(0.198623\pi\)
\(710\) 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 0.658627 0.752470i \(-0.271138\pi\)
0.147256 + 0.989098i \(0.452956\pi\)
\(720\) 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 −0.371649 0.928373i \(-0.621208\pi\)
0.866033 + 0.499988i \(0.166662\pi\)
\(728\) 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 −0.188021 0.982165i \(-0.560207\pi\)
−0.865398 + 0.501085i \(0.832935\pi\)
\(734\) 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 −0.919413 0.393293i \(-0.871336\pi\)
0.899319 + 0.437294i \(0.144063\pi\)
\(740\) 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 −0.965060 0.262029i \(-0.915608\pi\)
0.162550 0.986700i \(-0.448028\pi\)
\(744\) 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 0.809465 + 0.587168i \(0.199757\pi\)
−0.0863344 + 0.996266i \(0.527515\pi\)
\(752\) −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 −0.437745 0.899099i \(-0.644223\pi\)
−0.166708 + 0.986006i \(0.553314\pi\)
\(758\) 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 0.999469 + 0.0325786i \(0.0103719\pi\)
−0.949805 + 0.312842i \(0.898719\pi\)
\(762\) 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 0.604379 0.796697i \(-0.293421\pi\)
−0.473633 + 0.880723i \(0.657058\pi\)
\(770\) 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 −0.767280 0.641312i \(-0.778390\pi\)