Properties

Label 690.2.r.b.169.6
Level $690$
Weight $2$
Character 690.169
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 169.6
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(2.01587 + 0.967617i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.0999940 + 0.155594i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(2.01587 + 0.967617i) 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} +(-1.85764 - 1.24466i) 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} +(2.23566 + 0.0427543i) 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} +(1.66160 + 1.49636i) q^{20} +(-0.0263218 + 0.183072i) q^{21} +4.15868i q^{22} +(4.79536 + 0.0673348i) q^{23} -1.00000 q^{24} +(3.12743 + 3.90117i) 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} +(-2.20682 - 0.360487i) 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} +(-0.352130 + 0.216900i) 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} +(-1.43173 - 1.71760i) 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} +(-2.54041 - 4.30655i) 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} +(2.78997 - 8.87068i) 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} +(2.13305 + 0.670880i) 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} +(-1.57447 - 12.6654i) 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} +(4.46542 + 2.24945i) 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} +(1.17272 + 1.90387i) 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} +(2.28782 - 14.0055i) 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} +(-2.15714 + 0.588836i) q^{90} +1.05567 q^{91} +(4.58214 + 1.41562i) q^{92} +4.90467i q^{93} +(-0.347502 + 2.41693i) q^{94} +(3.56817 + 3.21332i) 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
\(5\) 2.01587 + 0.967617i 0.901523 + 0.432732i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) −0.0999940 + 0.155594i −0.0377942 + 0.0588089i −0.859637 0.510906i \(-0.829310\pi\)
0.821842 + 0.569715i \(0.192946\pi\)
\(8\) −0.909632 0.415415i −0.321603 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) −1.85764 1.24466i −0.587438 0.393595i
\(11\) −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 \(-0.891109\pi\)
0.0862003 0.996278i \(-0.472527\pi\)
\(14\) 0.121120 0.139779i 0.0323706 0.0373576i
\(15\) 2.23566 + 0.0427543i 0.577245 + 0.0110391i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −1.78801 6.08939i −0.433656 1.47690i −0.829463 0.558562i \(-0.811353\pi\)
0.395808 0.918333i \(-0.370465\pi\)
\(18\) −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 \(0.511685\pi\)
\(20\) 1.66160 + 1.49636i 0.371545 + 0.334596i
\(21\) −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
\(25\) 3.12743 + 3.90117i 0.625487 + 0.780235i
\(26\) 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 \(0.258525\pi\)
\(30\) −2.20682 0.360487i −0.402908 0.0658155i
\(31\) −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
\(35\) −0.352130 + 0.216900i −0.0595208 + 0.0366628i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 4.72024 + 4.09011i 0.776003 + 0.672410i 0.949970 0.312341i \(-0.101113\pi\)
−0.173967 + 0.984751i \(0.555659\pi\)
\(38\) −1.95337 0.892074i −0.316878 0.144713i
\(39\) −4.80164 3.08583i −0.768878 0.494128i
\(40\) −1.43173 1.71760i −0.226377 0.271576i
\(41\) −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 −0.0142653 0.999898i \(-0.504541\pi\)
0.746331 + 0.665575i \(0.231814\pi\)
\(44\) 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
\(50\) −2.54041 4.30655i −0.359268 0.609037i
\(51\) −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 \(0.502930\pi\)
−0.905769 + 0.423771i \(0.860706\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 2.78997 8.87068i 0.376200 1.19612i
\(56\) 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 \(0.0681502\pi\)
\(60\) 2.13305 + 0.670880i 0.275376 + 0.0866103i
\(61\) −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
\(65\) −1.57447 12.6654i −0.195288 1.57095i
\(66\) 1.72758 + 3.78287i 0.212650 + 0.465639i
\(67\) −8.92008 1.28251i −1.08976 0.156684i −0.426070 0.904690i \(-0.640102\pi\)
−0.663692 + 0.748006i \(0.731011\pi\)
\(68\) 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 \(0.416589\pi\)
−0.740115 + 0.672481i \(0.765229\pi\)
\(74\) −4.09011 4.72024i −0.475466 0.548717i
\(75\) 4.46542 + 2.24945i 0.515622 + 0.259744i
\(76\) 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 \(-0.0570238\pi\)
\(80\) 1.17272 + 1.90387i 0.131114 + 0.212859i
\(81\) −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 \(-0.262873\pi\)
−0.631155 + 0.775657i \(0.717419\pi\)
\(84\) −0.0768329 + 0.168241i −0.00838316 + 0.0183566i
\(85\) 2.28782 14.0055i 0.248149 1.51911i
\(86\) −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 \(-0.517715\pi\)
\(90\) −2.15714 + 0.588836i −0.227383 + 0.0620687i
\(91\) 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
\(95\) 3.56817 + 3.21332i 0.366086 + 0.329680i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) −1.35952 + 1.17803i −0.138038 + 0.119611i −0.721143 0.692786i \(-0.756383\pi\)
0.583105 + 0.812397i \(0.301838\pi\)
\(98\) −1.96249 6.68363i −0.198241 0.675148i
\(99\) −3.49850 2.24835i −0.351613 0.225968i
\(100\) 1.90166 + 4.62425i 0.190166 + 0.462425i
\(101\) −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 −0.841091 0.540894i \(-0.818086\pi\)
−0.654633 + 0.755946i \(0.727177\pi\)
\(104\) 0.812294 + 5.64963i 0.0796520 + 0.553992i
\(105\) −0.230205 + 0.343579i −0.0224657 + 0.0335299i
\(106\) 8.06840 9.31143i 0.783672 0.904406i
\(107\) 11.0425 + 5.04296i 1.06752 + 0.487521i 0.870139 0.492806i \(-0.164029\pi\)
0.197383 + 0.980327i \(0.436756\pi\)
\(108\) 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 \(0.377944\pi\)
\(110\) −4.02401 + 8.38334i −0.383674 + 0.799320i
\(111\) 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 \(-0.388800\pi\)
0.0637014 + 0.997969i \(0.479709\pi\)
\(114\) −2.14743 −0.201125
\(115\) 9.60165 + 4.77581i 0.895358 + 0.445346i
\(116\) 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
\(120\) −2.01587 0.967617i −0.184023 0.0883309i
\(121\) −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
\(125\) 2.52965 + 10.8904i 0.226259 + 0.974067i
\(126\) −0.0263218 0.183072i −0.00234493 0.0163094i
\(127\) 3.81477 0.548481i 0.338506 0.0486699i 0.0290343 0.999578i \(-0.490757\pi\)
0.309472 + 0.950909i \(0.399848\pi\)
\(128\) −0.540641 0.841254i −0.0477863 0.0743570i
\(129\) 3.45595 3.98838i 0.304279 0.351157i
\(130\) −0.244030 + 12.7605i −0.0214028 + 1.11917i
\(131\) −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
\(135\) 1.49636 1.66160i 0.128786 0.143008i
\(136\) −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 \(0.830972\pi\)
\(140\) −0.398974 + 0.108908i −0.0337194 + 0.00920439i
\(141\) −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
\(145\) 10.8281 + 1.76879i 0.899229 + 0.146890i
\(146\) 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 \(-0.0995069\pi\)
\(150\) −4.09984 2.86205i −0.334750 0.233685i
\(151\) 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
\(155\) −8.42425 + 7.02218i −0.676652 + 0.564035i
\(156\) −3.73776 4.31361i −0.299261 0.345365i
\(157\) −0.368706 + 1.25570i −0.0294260 + 0.100216i −0.972897 0.231240i \(-0.925722\pi\)
0.943471 + 0.331456i \(0.107540\pi\)
\(158\) −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 \(-0.313273\pi\)
0.296495 + 0.955035i \(0.404182\pi\)
\(164\) −1.04951 2.29810i −0.0819526 0.179451i
\(165\) −1.14716 9.22805i −0.0893066 0.718403i
\(166\) −0.369330 0.426230i −0.0286656 0.0330819i
\(167\) 1.16885 + 3.98074i 0.0904485 + 0.308039i 0.992275 0.124060i \(-0.0395914\pi\)
−0.901826 + 0.432099i \(0.857773\pi\)
\(168\) 0.0999940 0.155594i 0.00771471 0.0120043i
\(169\) −8.13304 + 17.8089i −0.625618 + 1.36991i
\(170\) −4.25772 + 13.5374i −0.326552 + 1.03827i
\(171\) 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 \(-0.586520\pi\)
0.0137871 + 0.999905i \(0.495611\pi\)
\(174\) −4.12776 + 2.65275i −0.312925 + 0.201104i
\(175\) −0.919723 + 0.0965152i −0.0695245 + 0.00729586i
\(176\) 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 \(0.602007\pi\)
\(180\) 2.21899 0.275848i 0.165394 0.0205605i
\(181\) 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
\(190\) −3.07455 3.68841i −0.223051 0.267586i
\(191\) 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 \(-0.993018\pi\)
−0.163992 0.986462i \(-0.552437\pi\)
\(194\) 1.51333 0.972558i 0.108651 0.0698256i
\(195\) −6.69357 10.8668i −0.479336 0.778185i
\(196\) 0.991336 + 6.89489i 0.0708097 + 0.492492i
\(197\) −1.88225 2.92883i −0.134104 0.208671i 0.767706 0.640802i \(-0.221398\pi\)
−0.901811 + 0.432131i \(0.857762\pi\)
\(198\) 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 \(0.0948309\pi\)
\(200\) −1.22421 4.84782i −0.0865646 0.342792i
\(201\) −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
\(205\) −1.48764 5.44982i −0.103901 0.380632i
\(206\) 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
\(210\) 0.276758 0.307321i 0.0190981 0.0212071i
\(211\) 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
\(215\) 11.7984 + 0.225631i 0.804646 + 0.0153879i
\(216\) −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
\(220\) 5.17612 7.72533i 0.348974 0.520842i
\(221\) −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 \(-0.824389\pi\)
0.830552 + 0.556941i \(0.188025\pi\)
\(224\) 0.177463 0.0521077i 0.0118572 0.00348159i
\(225\) 4.99634 + 0.191168i 0.333090 + 0.0127445i
\(226\) −4.18342 1.22836i −0.278277 0.0817096i
\(227\) 12.8057 5.84818i 0.849946 0.388158i 0.0576817 0.998335i \(-0.481629\pi\)
0.792265 + 0.610177i \(0.208902\pi\)
\(228\) 2.12557 + 0.305611i 0.140769 + 0.0202396i
\(229\) 17.8580 1.18009 0.590045 0.807370i \(-0.299110\pi\)
0.590045 + 0.807370i \(0.299110\pi\)
\(230\) −8.82425 6.09366i −0.581854 0.401804i
\(231\) 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 \(-0.928525\pi\)
−0.470144 + 0.882590i \(0.655798\pi\)
\(234\) 5.47652 + 1.60805i 0.358011 + 0.105122i
\(235\) 2.36271 4.92231i 0.154126 0.321096i
\(236\) 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 \(0.287913\pi\)
\(240\) 1.85764 + 1.24466i 0.119910 + 0.0803422i
\(241\) −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
\(245\) −0.297817 + 15.5731i −0.0190269 + 0.994931i
\(246\) 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
\(250\) −0.954034 11.1396i −0.0603384 0.704528i
\(251\) −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
\(255\) −3.73703 13.6903i −0.234022 0.857317i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 2.48459 8.46173i 0.154984 0.527828i −0.844991 0.534780i \(-0.820395\pi\)
0.999976 + 0.00695146i \(0.00221274\pi\)
\(258\) −3.98838 + 3.45595i −0.248306 + 0.215158i
\(259\) −1.10839 + 0.325453i −0.0688721 + 0.0202227i
\(260\) 2.05756 12.5959i 0.127604 0.781165i
\(261\) 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 \(-0.00585131\pi\)
−0.432065 + 0.901842i \(0.642215\pi\)
\(264\) 0.591841 + 4.11635i 0.0364253 + 0.253344i
\(265\) −23.4572 + 14.4488i −1.44096 + 0.887586i
\(266\) 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 \(0.517735\pi\)
\(270\) −1.71760 + 1.43173i −0.104530 + 0.0871325i
\(271\) 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 \(-0.912309\pi\)
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
\(280\) 0.410412 0.0510194i 0.0245268 0.00304899i
\(281\) 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 −0.473813 0.880626i \(-0.657123\pi\)
0.997874 + 0.0651699i \(0.0207589\pi\)
\(284\) 2.83208 6.20138i 0.168053 0.367984i
\(285\) 4.58058 + 1.44067i 0.271330 + 0.0853378i
\(286\) 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
\(290\) −10.4662 3.29179i −0.614597 0.193301i
\(291\) −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 \(0.102438\pi\)
−0.627065 + 0.778967i \(0.715744\pi\)
\(294\) −4.56162 5.26439i −0.266039 0.307026i
\(295\) 24.1068 2.99678i 1.40355 0.174479i
\(296\) −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
\(305\) −20.7850 + 17.3257i −1.19015 + 0.992069i
\(306\) 5.33899 + 3.43116i 0.305210 + 0.196146i
\(307\) 22.1282 + 10.1056i 1.26292 + 0.576757i 0.930472 0.366364i \(-0.119398\pi\)
0.332450 + 0.943121i \(0.392125\pi\)
\(308\) 0.581297 + 0.503697i 0.0331225 + 0.0287008i
\(309\) −12.9015 + 8.29129i −0.733941 + 0.471675i
\(310\) 9.33786 5.75181i 0.530355 0.326681i
\(311\) −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 0.881886 0.471463i \(-0.156274\pi\)
−0.341159 + 0.940006i \(0.610819\pi\)
\(314\) 0.543658 1.19044i 0.0306804 0.0671807i
\(315\) −0.0666737 + 0.408161i −0.00375664 + 0.0229973i
\(316\) 15.7622 4.62820i 0.886693 0.260357i
\(317\) 4.65999 4.03790i 0.261731 0.226791i −0.514103 0.857729i \(-0.671875\pi\)
0.775834 + 0.630937i \(0.217330\pi\)
\(318\) 3.47117 11.8217i 0.194653 0.662928i
\(319\) −8.47666 18.5613i −0.474602 1.03923i
\(320\) 0.588836 + 2.15714i 0.0329169 + 0.120588i
\(321\) 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
\(325\) 9.08131 27.0552i 0.503741 1.50075i
\(326\) −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
\(330\) −0.177801 + 9.29738i −0.00978764 + 0.511804i
\(331\) 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
\(335\) −16.7407 11.2166i −0.914642 0.612828i
\(336\) −0.121120 + 0.139779i −0.00660761 + 0.00762559i
\(337\) 11.5701 + 5.28387i 0.630262 + 0.287831i 0.704820 0.709386i \(-0.251028\pi\)
−0.0745587 + 0.997217i \(0.523755\pi\)
\(338\) 10.5847 16.4702i 0.575733 0.895858i
\(339\) 4.18342 1.22836i 0.227212 0.0667156i
\(340\) 6.14095 12.7936i 0.333040 0.693832i
\(341\) 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
\(345\) 10.7179 + 0.355560i 0.577033 + 0.0191427i
\(346\) 3.38437 0.181945
\(347\) −6.77192 0.973654i −0.363535 0.0522685i −0.0418731 0.999123i \(-0.513333\pi\)
−0.321662 + 0.946854i \(0.604242\pi\)
\(348\) 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 \(0.666948\pi\)
\(350\) 0.924097 + 0.0353574i 0.0493951 + 0.00188993i
\(351\) −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 \(-0.322917\pi\)
−0.295974 + 0.955196i \(0.595644\pi\)
\(354\) −7.11431 + 8.21036i −0.378122 + 0.436376i
\(355\) 8.48539 12.6644i 0.450358 0.672156i
\(356\) −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 \(0.0254966\pi\)
\(360\) −2.23566 0.0427543i −0.117830 0.00225335i
\(361\) −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
\(365\) −21.8303 + 24.2410i −1.14265 + 1.26883i
\(366\) 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
\(370\) −3.67773 13.4730i −0.191196 0.700430i
\(371\) −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 \(-0.653721\pi\)
0.810537 + 0.585688i \(0.199176\pi\)
\(374\) 25.3238 7.43574i 1.30946 0.384493i
\(375\) 6.82509 + 8.85541i 0.352446 + 0.457291i
\(376\) −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 \(0.793798\pi\)
\(380\) 2.51833 + 4.08843i 0.129188 + 0.209732i
\(381\) 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 \(-0.464450\pi\)
−0.678056 + 0.735010i \(0.737177\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) 1.10124 + 1.32112i 0.0561245 + 0.0673304i
\(386\) 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
\(395\) 36.4527 4.53154i 1.83414 0.228006i
\(396\) −2.72335 3.14292i −0.136854 0.157938i
\(397\) 1.35070 + 4.60006i 0.0677897 + 0.230870i 0.986419 0.164251i \(-0.0525207\pi\)
−0.918629 + 0.395121i \(0.870703\pi\)
\(398\) −1.98460 + 3.08810i −0.0994789 + 0.154792i
\(399\) −0.164993 + 0.361285i −0.00825999 + 0.0180869i
\(400\) 0.521832 + 4.97269i 0.0260916 + 0.248635i
\(401\) −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
\(405\) 0.670880 2.13305i 0.0333363 0.105992i
\(406\) 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 \(0.453526\pi\)
\(410\) 0.696904 + 5.60606i 0.0344176 + 0.276863i
\(411\) 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 \(0.851505\pi\)
\(420\) −0.317677 + 0.264806i −0.0155011 + 0.0129212i
\(421\) −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
\(425\) 18.1639 26.0195i 0.881079 1.26213i
\(426\) 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
\(430\) −11.6462 1.90243i −0.561631 0.0917431i
\(431\) 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 \(-0.794341\pi\)
0.997196 0.0748281i \(-0.0238408\pi\)
\(434\) 0.376840 + 0.825165i 0.0180889 + 0.0396092i
\(435\) 10.5844 2.88923i 0.507484 0.138528i
\(436\) 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 \(0.801835\pi\)
\(440\) −6.22286 + 6.91006i −0.296663 + 0.329424i
\(441\) 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 \(-0.890744\pi\)
0.610237 0.792219i \(-0.291074\pi\)
\(444\) 5.25428 + 3.37672i 0.249357 + 0.160252i
\(445\) 0.751292 39.2857i 0.0356146 1.86232i
\(446\) 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 \(0.727604\pi\)
\(450\) −4.91828 0.900276i −0.231850 0.0424394i
\(451\) −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
\(455\) 2.12809 + 1.02148i 0.0997664 + 0.0478879i
\(456\) −2.06044 0.605000i −0.0964890 0.0283317i
\(457\) 1.56167 0.713192i 0.0730520 0.0333617i −0.378554 0.925579i \(-0.623579\pi\)
0.451606 + 0.892217i \(0.350851\pi\)
\(458\) −17.6762 2.54146i −0.825956 0.118755i
\(459\) −6.34647 −0.296228
\(460\) 7.86721 + 7.28745i 0.366811 + 0.339779i
\(461\) −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 \(-0.589183\pi\)
0.545195 + 0.838309i \(0.316456\pi\)
\(464\) 4.70792 + 1.38237i 0.218560 + 0.0641750i
\(465\) −4.74584 + 9.88716i −0.220083 + 0.458506i
\(466\) 23.2666 6.83170i 1.07781 0.316473i
\(467\) −11.6970 + 18.2009i −0.541274 + 0.842239i −0.998899 0.0469063i \(-0.985064\pi\)
0.457625 + 0.889145i \(0.348700\pi\)
\(468\) −5.19193 2.37107i −0.239997 0.109603i
\(469\) 1.09151 1.25966i 0.0504011 0.0581659i
\(470\) −3.03918 + 4.53596i −0.140187 + 0.209228i
\(471\) 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
\(475\) 4.08369 + 9.93024i 0.187372 + 0.455631i
\(476\) 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 \(0.583479\pi\)
\(480\) −1.66160 1.49636i −0.0758413 0.0682990i
\(481\) 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
\(485\) −3.88048 + 1.05926i −0.176204 + 0.0480983i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) −7.17898 + 24.4493i −0.325310 + 1.10791i 0.620775 + 0.783989i \(0.286818\pi\)
−0.946086 + 0.323917i \(0.895000\pi\)
\(488\) 9.14550 7.92462i 0.413997 0.358731i
\(489\) 10.5201 3.08898i 0.475735 0.139689i
\(490\) 2.51107 15.3722i 0.113439 0.694447i
\(491\) −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
\(495\) −4.87697 7.91758i −0.219203 0.355869i
\(496\) −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 \(0.880489\pi\)
\(500\) −0.641002 + 11.1619i −0.0286665 + 0.499178i
\(501\) 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 \(-0.468379\pi\)
0.816970 + 0.576680i \(0.195652\pi\)
\(504\) 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 \(0.998259\pi\)
\(510\) 1.75066 + 14.0827i 0.0775207 + 0.623594i
\(511\) −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
\(515\) −32.7126 10.2887i −1.44149 0.453372i
\(516\) 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
\(520\) −3.82920 + 12.1749i −0.167922 + 0.533904i
\(521\) −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 0.986612 0.163082i \(-0.0521437\pi\)
−0.918160 + 0.396209i \(0.870325\pi\)
\(524\) −11.6094 13.3980i −0.507160 0.585294i
\(525\) −0.796516 + 0.469860i −0.0347628 + 0.0205064i
\(526\) −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
\(535\) 17.3806 + 20.8509i 0.751430 + 0.901462i
\(536\) 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
\(540\) 1.90387 1.17272i 0.0819296 0.0504659i
\(541\) 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
\(545\) 4.50171 + 0.735360i 0.192832 + 0.0314994i
\(546\) −1.01291 + 0.297417i −0.0433485 + 0.0127283i
\(547\) −17.3837 + 15.0630i −0.743272 + 0.644049i −0.941849 0.336037i \(-0.890913\pi\)
0.198577 + 0.980085i \(0.436368\pi\)
\(548\) −4.33101 + 14.7501i −0.185012 + 0.630091i
\(549\) 5.02703 + 11.0077i 0.214549 + 0.469796i
\(550\) −16.2237 + 13.0060i −0.691782 + 0.554577i
\(551\) 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
\(555\) 10.3780 + 9.34590i 0.440521 + 0.396712i
\(556\) −19.5089 5.72834i −0.827363 0.242936i
\(557\) −32.8176 + 28.4366i −1.39053 + 1.20490i −0.438560 + 0.898702i \(0.644511\pi\)
−0.951968 + 0.306197i \(0.900943\pi\)
\(558\) −1.38181 4.70600i −0.0584965 0.199221i
\(559\) −25.3401 16.2851i −1.07177 0.688786i
\(560\) −0.413496 0.00790760i −0.0174734 0.000334157i
\(561\) −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 \(-0.604266\pi\)
−0.0419488 + 0.999120i \(0.513357\pi\)
\(564\) −0.347502 2.41693i −0.0146325 0.101771i
\(565\) 8.09938 + 5.42674i 0.340744 + 0.228305i
\(566\) −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 \(0.333213\pi\)
\(570\) −4.32893 2.07789i −0.181319 0.0870331i
\(571\) 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
\(575\) 14.7345 + 18.9181i 0.614471 + 0.788940i
\(576\) 1.00000 0.0416667
\(577\) −18.7407 2.69451i −0.780187 0.112174i −0.259297 0.965798i \(-0.583491\pi\)
−0.520890 + 0.853624i \(0.674400\pi\)
\(578\) 21.1741 9.66990i 0.880728 0.402215i
\(579\) −20.5259 6.02695i −0.853028 0.250472i
\(580\) 9.89121 + 4.74779i 0.410710 + 0.197141i
\(581\) −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
\(585\) −10.6029 7.10415i −0.438376 0.293721i
\(586\) −2.78073 19.3404i −0.114871 0.798944i
\(587\) −39.3061 + 5.65137i −1.62234 + 0.233257i −0.892725 0.450603i \(-0.851209\pi\)
−0.729614 + 0.683860i \(0.760300\pi\)
\(588\) 3.76599 + 5.86000i 0.155307 + 0.241662i
\(589\) −6.89727 + 7.95988i −0.284197 + 0.327981i
\(590\) −24.2879 0.464477i −0.999916 0.0191222i
\(591\) −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 \(-0.721194\pi\)
0.669173 + 0.743106i \(0.266648\pi\)
\(594\) 3.99022 + 1.17163i 0.163721 + 0.0480727i
\(595\) 1.95040 + 1.75644i 0.0799587 + 0.0720069i
\(596\) 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 \(0.518196\pi\)
\(600\) −3.12743 3.90117i −0.127677 0.159265i
\(601\) 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
\(605\) −13.8910 2.26912i −0.564750 0.0922527i
\(606\) 5.13302 11.2398i 0.208515 0.456584i
\(607\) −0.220457 0.191027i −0.00894807 0.00775354i 0.650375 0.759613i \(-0.274612\pi\)
−0.659323 + 0.751860i \(0.729157\pi\)
\(608\) −1.16099 1.80653i −0.0470842 0.0732645i
\(609\) 0.129153 + 0.898276i 0.00523352 + 0.0364000i
\(610\) 23.0392 14.1914i 0.932829 0.574592i
\(611\) −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 \(-0.223806\pi\)
0.0108905 + 0.999941i \(0.496533\pi\)
\(614\) −20.4648 13.1519i −0.825890 0.530768i
\(615\) −3.61714 4.33934i −0.145857 0.174979i
\(616\) −0.503697 0.581297i −0.0202945 0.0234211i
\(617\) 0.289794 0.986949i 0.0116667 0.0397331i −0.953454 0.301539i \(-0.902500\pi\)
0.965121 + 0.261806i \(0.0843179\pi\)
\(618\) 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
\(625\) −5.43831 + 24.4013i −0.217532 + 0.976053i
\(626\) −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
\(630\) 0.124082 0.394518i 0.00494356 0.0157180i
\(631\) 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
\(635\) 8.22079 + 2.58557i 0.326232 + 0.102605i
\(636\) −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
\(640\) −0.275848 2.21899i −0.0109039 0.0877132i
\(641\) −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 \(0.0446042\pi\)
−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 0.779013 0.627008i \(-0.215721\pi\)
0.984006 0.178135i \(-0.0570064\pi\)
\(648\) −0.281733 + 0.959493i −0.0110675 + 0.0376924i
\(649\) −29.5861 34.1442i −1.16136 1.34028i
\(650\) −12.8392 + 25.4874i −0.503596 + 0.999697i
\(651\) −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 \(-0.406684\pi\)
−0.906464 + 0.422282i \(0.861229\pi\)
\(654\) −1.71608 + 1.10286i −0.0671041 + 0.0431252i
\(655\) −20.7901 33.7520i −0.812336 1.31880i
\(656\) −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 \(0.907092\pi\)
\(660\) 1.49915 9.17745i 0.0583542 0.357232i
\(661\) 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
\(665\) −0.856768 + 0.233872i −0.0332240 + 0.00906916i
\(666\) −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
\(670\) 14.9740 + 13.4849i 0.578497 + 0.520966i
\(671\) 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 \(-0.116112\pi\)
−0.978770 + 0.204960i \(0.934293\pi\)
\(674\) −10.7003 6.87668i −0.412161 0.264880i
\(675\) 4.62425 1.90166i 0.177987 0.0731951i
\(676\) −12.8209 + 14.7961i −0.493113 + 0.569083i
\(677\) 17.4042 + 27.0814i 0.668896 + 1.04082i 0.995417 + 0.0956330i \(0.0304875\pi\)
−0.326520 + 0.945190i \(0.605876\pi\)
\(678\) −4.31566 + 0.620498i −0.165742 + 0.0238301i
\(679\) −0.0473502 0.329328i −0.00181713 0.0126384i
\(680\) −7.89917 + 11.7895i −0.302919 + 0.452105i
\(681\) 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 \(-0.765534\pi\)
0.918786 + 0.394755i \(0.129171\pi\)
\(684\) 2.06044 0.605000i 0.0787830 0.0231328i
\(685\) −14.8749 + 30.9894i −0.568343 + 1.18405i
\(686\) 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
\(690\) −10.5582 1.87726i −0.401944 0.0714660i
\(691\) −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
\(695\) −40.9877 19.6741i −1.55475 0.746282i
\(696\) −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
\(700\) −0.909659 0.166510i −0.0343819 0.00629350i
\(701\) −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
\(705\) 0.104397 5.45900i 0.00393181 0.205598i
\(706\) −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 \(0.380441\pi\)
\(710\) −10.2014 + 11.3279i −0.382850 + 0.425128i
\(711\) 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
\(715\) −51.2032 + 13.9769i −1.91489 + 0.522708i
\(716\) 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 \(0.271138\pi\)
\(720\) 2.20682 + 0.360487i 0.0822433 + 0.0134345i
\(721\) 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
\(725\) 20.1166 + 14.0431i 0.747111 + 0.521549i
\(726\) 5.29535 3.40311i 0.196529 0.126301i
\(727\) −13.3300 11.5505i −0.494384 0.428386i 0.371649 0.928373i \(-0.378792\pi\)
−0.866033 + 0.499988i \(0.833338\pi\)
\(728\) −0.960271 0.438541i −0.0355900 0.0162534i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 25.0580 20.8875i 0.927437 0.773082i
\(731\) −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 \(-0.439793\pi\)
0.865398 + 0.501085i \(0.167065\pi\)
\(734\) 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 \(0.871336\pi\)
\(740\) 1.72289 + 13.8593i 0.0633345 + 0.509478i
\(741\) −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 \(-0.551972\pi\)
0.965060 0.262029i \(-0.0843917\pi\)
\(744\) 2.03747 4.46145i 0.0746974 0.163565i
\(745\) 2.76786 8.80036i 0.101407 0.322420i
\(746\) −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
\(750\) −5.49536 9.73658i −0.200662 0.355530i
\(751\) 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
\(755\) 12.8159 1.59318i 0.466419 0.0579818i
\(756\) 0.0768329 + 0.168241i 0.00279439 + 0.00611885i
\(757\) 16.6307 + 2.39113i 0.604453 + 0.0869072i 0.437745 0.899099i \(-0.355777\pi\)
0.166708 + 0.986006i \(0.446686\pi\)
\(758\) 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
\(765\) −9.08646 10.9007i −0.328522 0.394115i
\(766\) 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 \(0.293421\pi\)
\(770\) −0.902018 1.46439i −0.0325065 0.0527731i
\(771\) −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 \(-0.221610\pi\)