Properties

Label 690.2.r.b.49.6
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 49.6
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.6

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} + 8 q^{5} - 12 q^{6} + 12 q^{9} + O(q^{10}) \) \( 120 q + 12 q^{4} + 8 q^{5} - 12 q^{6} + 12 q^{9} - 18 q^{10} - 8 q^{11} - 4 q^{15} - 12 q^{16} + 16 q^{19} + 14 q^{20} - 22 q^{21} - 120 q^{24} + 28 q^{25} + 8 q^{26} + 8 q^{29} + 8 q^{30} + 8 q^{31} + 44 q^{34} + 58 q^{35} - 12 q^{36} + 14 q^{39} - 4 q^{40} + 8 q^{44} - 8 q^{45} + 12 q^{49} - 4 q^{50} + 12 q^{54} + 92 q^{55} - 94 q^{59} + 4 q^{60} - 60 q^{61} + 12 q^{64} - 44 q^{65} - 8 q^{66} + 16 q^{70} - 16 q^{74} + 4 q^{75} - 16 q^{76} + 172 q^{79} + 8 q^{80} - 12 q^{81} - 32 q^{85} - 40 q^{86} + 48 q^{89} - 4 q^{90} + 288 q^{91} + 24 q^{94} - 78 q^{95} - 12 q^{96} - 36 q^{99} + O(q^{100}) \)

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
\(5\) 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 0.821842 0.569715i \(-0.192946\pi\)
−0.859637 + 0.510906i \(0.829310\pi\)
\(8\) −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 0.681911 + 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 \(0.472527\pi\)
−0.942055 + 0.335458i \(0.891109\pi\)
\(14\) 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 0.395808 + 0.918333i \(0.370465\pi\)
−0.829463 + 0.558562i \(0.811353\pi\)
\(18\) −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 \(0.329867\pi\)
\(20\) 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 0.687917 0.725789i \(-0.258525\pi\)
0.186322 + 0.982489i \(0.440343\pi\)
\(30\) −2.20682 + 0.360487i −0.402908 + 0.0658155i
\(31\) −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
\(35\) −0.352130 0.216900i −0.0595208 0.0366628i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) 4.72024 4.09011i 0.776003 0.672410i −0.173967 0.984751i \(-0.555659\pi\)
0.949970 + 0.312341i \(0.101113\pi\)
\(38\) −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 −0.870087 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 0.746331 0.665575i \(-0.231814\pi\)
−0.0142653 + 0.999898i \(0.504541\pi\)
\(44\) 0.591841 + 4.11635i 0.0892234 + 0.620563i
\(45\) 2.05139 + 0.889836i 0.305803 + 0.132649i
\(46\) −4.73697 + 0.749100i −0.698428 + 0.110449i
\(47\) 2.44178i 0.356171i 0.984015 + 0.178085i \(0.0569903\pi\)
−0.984015 + 0.178085i \(0.943010\pi\)
\(48\) 0.989821 0.142315i 0.142868 0.0205414i
\(49\) 2.89369 6.33631i 0.413385 0.905187i
\(50\) −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 −0.905769 0.423771i \(-0.860706\pi\)
−0.00920600 0.999958i \(-0.502930\pi\)
\(54\) −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 0.977168 0.212468i \(-0.0681502\pi\)
0.212662 + 0.977126i \(0.431787\pi\)
\(60\) 2.13305 0.670880i 0.275376 0.0866103i
\(61\) −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
\(65\) −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 −0.663692 0.748006i \(-0.731011\pi\)
−0.426070 + 0.904690i \(0.640102\pi\)
\(68\) 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 \(-0.765229\pi\)
0.259054 0.965863i \(-0.416589\pi\)
\(74\) −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 0.983996 + 0.178189i \(0.0570238\pi\)
0.570853 + 0.821052i \(0.306613\pi\)
\(80\) 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 −0.631155 0.775657i \(-0.717419\pi\)
0.677939 + 0.735118i \(0.262873\pi\)
\(84\) −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 −0.0556235 + 0.998452i \(0.517715\pi\)
−0.718154 + 0.695884i \(0.755013\pi\)
\(90\) −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 0.583105 0.812397i \(-0.301838\pi\)
−0.721143 + 0.692786i \(0.756383\pi\)
\(98\) −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 0.193497 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 −0.654633 0.755946i \(-0.727177\pi\)
−0.841091 + 0.540894i \(0.818086\pi\)
\(104\) 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 0.197383 0.980327i \(-0.436756\pi\)
0.870139 + 0.492806i \(0.164029\pi\)
\(108\) 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 \(0.559762\pi\)
\(110\) −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 0.0637014 0.997969i \(-0.479709\pi\)
0.342281 + 0.939597i \(0.388800\pi\)
\(114\) −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 0.309472 0.950909i \(-0.399848\pi\)
0.0290343 + 0.999578i \(0.490757\pi\)
\(128\) −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 −0.993538 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
\(135\) 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 \(-0.771955\pi\)
0.754159 0.656692i \(-0.228045\pi\)
\(138\) −4.62008 1.28640i −0.393288 0.109506i
\(139\) −20.3326 −1.72458 −0.862292 0.506411i \(-0.830972\pi\)
−0.862292 + 0.506411i \(0.830972\pi\)
\(140\) −0.398974 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 0.951534 + 0.307543i \(0.0995069\pi\)
−0.999635 + 0.0270077i \(0.991402\pi\)
\(150\) −4.09984 + 2.86205i −0.334750 + 0.233685i
\(151\) 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
\(155\) −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 0.943471 0.331456i \(-0.107540\pi\)
−0.972897 + 0.231240i \(0.925722\pi\)
\(158\) −14.9431 6.82429i −1.18881 0.542911i
\(159\) −1.75343 12.1954i −0.139056 0.967156i
\(160\) −0.889836 + 2.05139i −0.0703477 + 0.162176i
\(161\) −0.489984 0.739395i −0.0386162 0.0582725i
\(162\) 1.00000i 0.0785674i
\(163\) 10.8526 1.56037i 0.850043 0.122218i 0.296495 0.955035i \(-0.404182\pi\)
0.553549 + 0.832817i \(0.313273\pi\)
\(164\) −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 −0.901826 0.432099i \(-0.857773\pi\)
0.992275 + 0.124060i \(0.0395914\pi\)
\(168\) 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 0.0137871 0.999905i \(-0.495611\pi\)
−0.268477 + 0.963286i \(0.586520\pi\)
\(174\) −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 −0.315007 0.949089i \(-0.602007\pi\)
0.984259 + 0.176731i \(0.0565523\pi\)
\(180\) 2.21899 + 0.275848i 0.165394 + 0.0205605i
\(181\) 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
\(190\) −3.07455 + 3.68841i −0.223051 + 0.267586i
\(191\) 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 \(0.552437\pi\)
−0.999759 + 0.0219343i \(0.993018\pi\)
\(194\) 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 −0.901811 0.432131i \(-0.857762\pi\)
0.767706 + 0.640802i \(0.221398\pi\)
\(198\) 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 \(0.822104\pi\)
\(200\) −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 −0.147714 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
\(215\) 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 0.830552 0.556941i \(-0.188025\pi\)
−0.851635 + 0.524135i \(0.824389\pi\)
\(224\) 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 0.792265 0.610177i \(-0.208902\pi\)
0.0576817 + 0.998335i \(0.481629\pi\)
\(228\) 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 −0.470144 0.882590i \(-0.655798\pi\)
−0.974896 + 0.222662i \(0.928525\pi\)
\(234\) 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 0.618076 0.786119i \(-0.287913\pi\)
−0.866078 + 0.499908i \(0.833367\pi\)
\(240\) 1.85764 1.24466i 0.119910 0.0803422i
\(241\) −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
\(245\) −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 −0.984866 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
\(255\) −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 0.999976 0.00695146i \(-0.00221274\pi\)
−0.844991 + 0.534780i \(0.820395\pi\)
\(258\) −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 −0.432065 0.901842i \(-0.642215\pi\)
0.999831 + 0.0183814i \(0.00585131\pi\)
\(264\) 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 −0.0556866 0.998448i \(-0.517735\pi\)
0.885087 + 0.465425i \(0.154098\pi\)
\(270\) −1.71760 1.43173i −0.104530 0.0871325i
\(271\) 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 \(0.0876908\pi\)
−0.962292 + 0.272017i \(0.912309\pi\)
\(278\) 20.1256 2.89362i 1.20705 0.173548i
\(279\) 2.03747 4.46145i 0.121980 0.267100i
\(280\) 0.410412 + 0.0510194i 0.0245268 + 0.00304899i
\(281\) 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 0.997874 0.0651699i \(-0.0207589\pi\)
−0.473813 + 0.880626i \(0.657123\pi\)
\(284\) 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 −0.627065 0.778967i \(-0.715744\pi\)
0.948662 0.316291i \(-0.102438\pi\)
\(294\) −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 0.332450 0.943121i \(-0.392125\pi\)
0.930472 + 0.366364i \(0.119398\pi\)
\(308\) 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 0.953030 + 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 −0.341159 0.940006i \(-0.610819\pi\)
0.881886 + 0.471463i \(0.156274\pi\)
\(314\) 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 0.775834 0.630937i \(-0.217330\pi\)
−0.514103 + 0.857729i \(0.671875\pi\)
\(318\) 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 0.787295 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
\(335\) −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 −0.0745587 0.997217i \(-0.523755\pi\)
0.704820 + 0.709386i \(0.251028\pi\)
\(338\) 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 −0.321662 0.946854i \(-0.604242\pi\)
−0.0418731 + 0.999123i \(0.513333\pi\)
\(348\) 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 \(0.485130\pi\)
\(350\) 0.924097 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 −0.295974 0.955196i \(-0.595644\pi\)
0.528067 + 0.849202i \(0.322917\pi\)
\(354\) −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 0.996794 0.0800143i \(-0.0254966\pi\)
−0.221058 + 0.975261i \(0.570951\pi\)
\(360\) −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 \(-0.901092\pi\)
0.952111 0.305753i \(-0.0989083\pi\)
\(368\) 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 0.810537 0.585688i \(-0.199176\pi\)
−0.464375 + 0.885639i \(0.653721\pi\)
\(374\) 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 −0.797412 0.603435i \(-0.793798\pi\)
0.935119 0.354335i \(-0.115293\pi\)
\(380\) 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 −0.678056 0.735010i \(-0.737177\pi\)
0.111452 + 0.993770i \(0.464450\pi\)
\(384\) −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 0.996287 + 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
\(395\) 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 −0.918629 0.395121i \(-0.870703\pi\)
0.986419 + 0.164251i \(0.0525207\pi\)
\(398\) −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 0.410682 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
\(405\) 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 0.145485 0.989360i \(-0.453526\pi\)
0.958585 0.284805i \(-0.0919289\pi\)
\(410\) 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 −0.893143 0.449772i \(-0.851505\pi\)
0.572302 + 0.820043i \(0.306051\pi\)
\(420\) −0.317677 0.264806i −0.0155011 0.0129212i
\(421\) −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
\(425\) 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 0.654615 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 \(0.0238408\pi\)
−0.798440 + 0.602074i \(0.794341\pi\)
\(434\) 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 −0.812392 0.583112i \(-0.801835\pi\)
0.615202 0.788369i \(-0.289074\pi\)
\(440\) −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 0.610237 + 0.792219i \(0.291074\pi\)
−0.941670 + 0.336538i \(0.890744\pi\)
\(444\) 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 −0.655647 0.755067i \(-0.727604\pi\)
0.841816 0.539764i \(-0.181487\pi\)
\(450\) −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 0.451606 0.892217i \(-0.350851\pi\)
−0.378554 + 0.925579i \(0.623579\pi\)
\(458\) −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 0.545195 0.838309i \(-0.316456\pi\)
−0.276525 + 0.961007i \(0.589183\pi\)
\(464\) 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 0.457625 0.889145i \(-0.348700\pi\)
−0.998899 + 0.0469063i \(0.985064\pi\)
\(468\) −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 −0.259260 0.965807i \(-0.583479\pi\)
0.304051 + 0.952656i \(0.401661\pi\)
\(480\) −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 −0.946086 0.323917i \(-0.895000\pi\)
0.620775 0.783989i \(-0.286818\pi\)
\(488\) 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 −0.528102 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
\(495\) −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 −0.930341 0.366695i \(-0.880489\pi\)
−0.0529206 + 0.998599i \(0.516853\pi\)
\(500\) −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 0.816970 0.576680i \(-0.195652\pi\)
0.0991757 + 0.995070i \(0.468379\pi\)
\(504\) 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 \(0.270986\pi\)
\(510\) 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 −0.785448 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 −0.918160 0.396209i \(-0.870325\pi\)
0.986612 + 0.163082i \(0.0521437\pi\)
\(524\) −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 −0.472312 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
\(545\) 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 0.198577 0.980085i \(-0.436368\pi\)
−0.941849 + 0.336037i \(0.890913\pi\)
\(548\) −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 −0.951968 0.306197i \(-0.900943\pi\)
−0.438560 0.898702i \(-0.644511\pi\)
\(558\) −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 −0.0419488 0.999120i \(-0.513357\pi\)
−0.321734 + 0.946830i \(0.604266\pi\)
\(564\) −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 0.500327 0.865836i \(-0.333213\pi\)
−0.0472042 + 0.998885i \(0.515031\pi\)
\(570\) −4.32893 + 2.07789i −0.181319 + 0.0870331i
\(571\) 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
\(575\) 14.7345 18.9181i 0.614471 0.788940i
\(576\) 1.00000 0.0416667
\(577\) −18.7407 + 2.69451i −0.780187 + 0.112174i −0.520890 0.853624i \(-0.674400\pi\)
−0.259297 + 0.965798i \(0.583491\pi\)
\(578\) 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 −0.729614 0.683860i \(-0.760300\pi\)
−0.892725 + 0.450603i \(0.851209\pi\)
\(588\) 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 0.669173 0.743106i \(-0.266648\pi\)
−0.640309 + 0.768117i \(0.721194\pi\)
\(594\) 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 −0.760449 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
\(605\) −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 −0.659323 0.751860i \(-0.729157\pi\)
0.650375 + 0.759613i \(0.274612\pi\)
\(608\) −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 0.0108905 0.999941i \(-0.496533\pi\)
0.762836 + 0.646591i \(0.223806\pi\)
\(614\) −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 0.965121 0.261806i \(-0.0843179\pi\)
−0.953454 + 0.301539i \(0.902500\pi\)
\(618\) 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
\(625\) −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 0.637484 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
\(635\) 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 −0.997777 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 \(-0.955396\pi\)
0.990198 0.139670i \(-0.0446042\pi\)
\(644\) −0.678448 0.571400i −0.0267346 0.0225163i
\(645\) 10.8260 + 4.69600i 0.426272 + 0.184905i
\(646\) −1.93955 13.4899i −0.0763106 0.530752i
\(647\) 44.8445 + 20.4798i 1.76302 + 0.805144i 0.984006 + 0.178135i \(0.0570064\pi\)
0.779013 + 0.627008i \(0.215721\pi\)
\(648\) −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 −0.906464 0.422282i \(-0.861229\pi\)
0.288981 + 0.957335i \(0.406684\pi\)
\(654\) −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 −0.957705 0.287752i \(-0.907092\pi\)
0.409695 0.912223i \(-0.365635\pi\)
\(660\) 1.49915 + 9.17745i 0.0583542 + 0.357232i
\(661\) 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
\(665\) −0.856768 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 −0.978770 0.204960i \(-0.934293\pi\)
0.934204 + 0.356740i \(0.116112\pi\)
\(674\) −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 −0.326520 0.945190i \(-0.605876\pi\)
0.995417 0.0956330i \(-0.0304875\pi\)
\(678\) −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 0.918786 0.394755i \(-0.129171\pi\)
−0.740759 + 0.671770i \(0.765534\pi\)
\(684\) 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 0.792495 + 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
\(705\) 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 0.366837 0.930285i \(-0.380441\pi\)
0.811553 + 0.584279i \(0.198623\pi\)
\(710\) −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 0.658627 0.752470i \(-0.271138\pi\)
0.147256 + 0.989098i \(0.452956\pi\)
\(720\) 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 −0.866033 0.499988i \(-0.833338\pi\)
0.371649 + 0.928373i \(0.378792\pi\)
\(728\) −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 0.865398 0.501085i \(-0.167065\pi\)
0.188021 + 0.982165i \(0.439793\pi\)
\(734\) 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 \(0.144063\pi\)
\(740\) 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 0.965060 + 0.262029i \(0.0843917\pi\)
−0.162550 + 0.986700i \(0.551972\pi\)
\(744\) 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 0.809465 + 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
\(755\) 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 0.166708 0.986006i \(-0.446686\pi\)
0.437745 + 0.899099i \(0.355777\pi\)
\(758\) 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
\(765\) −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 0.604379 0.796697i \(-0.293421\pi\)
−0.473633 + 0.880723i \(0.657058\pi\)
\(770\) −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 −0.525589 0.85