Properties

Label 690.2.w.a.7.3
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 7.3
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.721297 + 2.11654i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.913900 + 1.67368i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.721297 + 2.11654i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.913900 + 1.67368i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(0.568467 - 2.16260i) q^{10} +(-3.05647 + 2.64845i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(1.02708 - 0.560830i) q^{13} +(0.792172 - 1.73462i) q^{14} +(1.91485 + 1.15472i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-4.06133 - 5.42530i) q^{17} +(0.936950 + 0.349464i) q^{18} +(-0.975805 - 6.78687i) q^{19} +(-0.412740 + 2.19765i) q^{20} +(1.44117 + 1.24878i) q^{21} +(2.85974 - 2.85974i) q^{22} +(-1.45623 - 4.56940i) q^{23} +1.00000i q^{24} +(-3.95946 - 3.05330i) q^{25} +(-0.984458 + 0.632673i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(-0.666408 + 1.78671i) q^{28} +(0.845493 + 0.121564i) q^{29} +(-1.99234 - 1.01517i) q^{30} +(0.124229 + 0.0798373i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(1.93822 + 3.54959i) q^{33} +(4.43801 + 5.12174i) q^{34} +(-2.88322 - 3.14153i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-2.62292 - 7.03232i) q^{37} +(1.45749 + 6.69997i) q^{38} +(-0.329691 - 1.12282i) q^{39} +(0.254910 - 2.22149i) q^{40} +(2.18094 + 4.77558i) q^{41} +(-1.52659 - 1.14279i) q^{42} +(0.868206 + 0.188867i) q^{43} +(-2.64845 + 3.05647i) q^{44} +(1.53536 - 1.62563i) q^{45} +(1.77850 + 4.45387i) q^{46} +(-3.33505 - 3.33505i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(1.81848 + 2.82962i) q^{49} +(4.16719 + 2.76306i) q^{50} +(-6.16461 + 2.81528i) q^{51} +(0.936815 - 0.701291i) q^{52} +(-4.12748 - 2.25377i) q^{53} +(0.540641 - 0.841254i) q^{54} +(-3.40091 - 8.37944i) q^{55} +(0.537248 - 1.82970i) q^{56} +(-6.83920 - 0.489149i) q^{57} +(-0.852011 - 0.0609371i) q^{58} +(-3.50938 + 11.9519i) q^{59} +(2.05969 + 0.870451i) q^{60} +(1.84045 - 2.86379i) q^{61} +(-0.129608 - 0.0707715i) q^{62} +(1.52659 - 1.14279i) q^{63} +(0.909632 - 0.415415i) q^{64} +(0.446186 + 2.57839i) q^{65} +(-2.18651 - 3.40227i) q^{66} +(0.414577 + 5.79654i) q^{67} +(-4.79209 - 4.79209i) q^{68} +(-4.77452 + 0.451655i) q^{69} +(3.09999 + 2.92783i) q^{70} +(-5.30872 + 6.12659i) q^{71} +(0.977147 + 0.212565i) q^{72} +(-0.919382 - 0.688240i) q^{73} +(3.11792 + 6.82728i) q^{74} +(-3.82517 + 3.21995i) q^{75} +(-1.93175 - 6.57892i) q^{76} +(-1.63935 - 7.53597i) q^{77} +(0.408953 + 1.09644i) q^{78} +(-8.18185 - 2.40241i) q^{79} +(-0.0957814 + 2.23402i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-2.51607 - 4.60783i) q^{82} +(-9.55624 + 3.56429i) q^{83} +(1.60422 + 1.03097i) q^{84} +(14.4123 - 4.68270i) q^{85} +(-0.879468 - 0.126448i) q^{86} +(0.298508 - 0.800331i) q^{87} +(2.42365 - 3.23762i) q^{88} +(1.85819 - 1.19419i) q^{89} +(-1.41547 + 1.73102i) q^{90} +2.23156i q^{91} +(-2.09170 - 4.31564i) q^{92} +(0.104420 - 0.104420i) q^{93} +(3.56448 + 3.08864i) q^{94} +(15.0685 + 2.83002i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-4.95347 - 1.84755i) q^{97} +(-2.01571 - 2.69268i) q^{98} +(3.88047 - 1.13941i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −0.721297 + 2.11654i −0.322574 + 0.946544i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) −0.913900 + 1.67368i −0.345422 + 0.632593i −0.991415 0.130750i \(-0.958261\pi\)
0.645994 + 0.763343i \(0.276443\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 0.568467 2.16260i 0.179765 0.683875i
\(11\) −3.05647 + 2.64845i −0.921560 + 0.798536i −0.979844 0.199764i \(-0.935983\pi\)
0.0582842 + 0.998300i \(0.481437\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 1.02708 0.560830i 0.284862 0.155546i −0.330465 0.943818i \(-0.607206\pi\)
0.615327 + 0.788272i \(0.289024\pi\)
\(14\) 0.792172 1.73462i 0.211717 0.463595i
\(15\) 1.91485 + 1.15472i 0.494411 + 0.298146i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −4.06133 5.42530i −0.985016 1.31583i −0.948596 0.316491i \(-0.897495\pi\)
−0.0364205 0.999337i \(-0.511596\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) −0.975805 6.78687i −0.223865 1.55702i −0.723220 0.690618i \(-0.757339\pi\)
0.499355 0.866398i \(-0.333571\pi\)
\(20\) −0.412740 + 2.19765i −0.0922915 + 0.491408i
\(21\) 1.44117 + 1.24878i 0.314489 + 0.272506i
\(22\) 2.85974 2.85974i 0.609699 0.609699i
\(23\) −1.45623 4.56940i −0.303645 0.952785i
\(24\) 1.00000i 0.204124i
\(25\) −3.95946 3.05330i −0.791893 0.610660i
\(26\) −0.984458 + 0.632673i −0.193068 + 0.124077i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) −0.666408 + 1.78671i −0.125939 + 0.337656i
\(29\) 0.845493 + 0.121564i 0.157004 + 0.0225738i 0.220369 0.975417i \(-0.429274\pi\)
−0.0633645 + 0.997990i \(0.520183\pi\)
\(30\) −1.99234 1.01517i −0.363750 0.185344i
\(31\) 0.124229 + 0.0798373i 0.0223122 + 0.0143392i 0.551749 0.834010i \(-0.313960\pi\)
−0.529437 + 0.848349i \(0.677597\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) 1.93822 + 3.54959i 0.337401 + 0.617904i
\(34\) 4.43801 + 5.12174i 0.761113 + 0.878371i
\(35\) −2.88322 3.14153i −0.487353 0.531015i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −2.62292 7.03232i −0.431205 1.15611i −0.952983 0.303024i \(-0.902004\pi\)
0.521778 0.853082i \(-0.325269\pi\)
\(38\) 1.45749 + 6.69997i 0.236436 + 1.08688i
\(39\) −0.329691 1.12282i −0.0527928 0.179796i
\(40\) 0.254910 2.22149i 0.0403048 0.351249i
\(41\) 2.18094 + 4.77558i 0.340605 + 0.745821i 0.999982 0.00599156i \(-0.00190718\pi\)
−0.659377 + 0.751812i \(0.729180\pi\)
\(42\) −1.52659 1.14279i −0.235557 0.176336i
\(43\) 0.868206 + 0.188867i 0.132400 + 0.0288019i 0.278277 0.960501i \(-0.410237\pi\)
−0.145877 + 0.989303i \(0.546600\pi\)
\(44\) −2.64845 + 3.05647i −0.399268 + 0.460780i
\(45\) 1.53536 1.62563i 0.228877 0.242335i
\(46\) 1.77850 + 4.45387i 0.262225 + 0.656687i
\(47\) −3.33505 3.33505i −0.486468 0.486468i 0.420722 0.907190i \(-0.361777\pi\)
−0.907190 + 0.420722i \(0.861777\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) 1.81848 + 2.82962i 0.259784 + 0.404231i
\(50\) 4.16719 + 2.76306i 0.589330 + 0.390755i
\(51\) −6.16461 + 2.81528i −0.863218 + 0.394218i
\(52\) 0.936815 0.701291i 0.129913 0.0972516i
\(53\) −4.12748 2.25377i −0.566953 0.309580i 0.170087 0.985429i \(-0.445595\pi\)
−0.737040 + 0.675849i \(0.763777\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) −3.40091 8.37944i −0.458579 1.12988i
\(56\) 0.537248 1.82970i 0.0717927 0.244504i
\(57\) −6.83920 0.489149i −0.905874 0.0647894i
\(58\) −0.852011 0.0609371i −0.111875 0.00800143i
\(59\) −3.50938 + 11.9519i −0.456882 + 1.55600i 0.333114 + 0.942887i \(0.391901\pi\)
−0.789996 + 0.613112i \(0.789918\pi\)
\(60\) 2.05969 + 0.870451i 0.265905 + 0.112375i
\(61\) 1.84045 2.86379i 0.235645 0.366671i −0.703211 0.710981i \(-0.748251\pi\)
0.938856 + 0.344311i \(0.111887\pi\)
\(62\) −0.129608 0.0707715i −0.0164603 0.00898799i
\(63\) 1.52659 1.14279i 0.192332 0.143978i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 0.446186 + 2.57839i 0.0553426 + 0.319810i
\(66\) −2.18651 3.40227i −0.269140 0.418791i
\(67\) 0.414577 + 5.79654i 0.0506486 + 0.708160i 0.957815 + 0.287387i \(0.0927866\pi\)
−0.907166 + 0.420773i \(0.861759\pi\)
\(68\) −4.79209 4.79209i −0.581126 0.581126i
\(69\) −4.77452 + 0.451655i −0.574784 + 0.0543729i
\(70\) 3.09999 + 2.92783i 0.370519 + 0.349943i
\(71\) −5.30872 + 6.12659i −0.630029 + 0.727092i −0.977579 0.210569i \(-0.932468\pi\)
0.347550 + 0.937662i \(0.387014\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) −0.919382 0.688240i −0.107605 0.0805524i 0.544120 0.839007i \(-0.316864\pi\)
−0.651725 + 0.758455i \(0.725955\pi\)
\(74\) 3.11792 + 6.82728i 0.362450 + 0.793655i
\(75\) −3.82517 + 3.21995i −0.441692 + 0.371808i
\(76\) −1.93175 6.57892i −0.221586 0.754654i
\(77\) −1.63935 7.53597i −0.186821 0.858804i
\(78\) 0.408953 + 1.09644i 0.0463048 + 0.124148i
\(79\) −8.18185 2.40241i −0.920530 0.270292i −0.213063 0.977038i \(-0.568344\pi\)
−0.707467 + 0.706746i \(0.750162\pi\)
\(80\) −0.0957814 + 2.23402i −0.0107087 + 0.249771i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −2.51607 4.60783i −0.277853 0.508850i
\(83\) −9.55624 + 3.56429i −1.04893 + 0.391232i −0.814052 0.580792i \(-0.802743\pi\)
−0.234882 + 0.972024i \(0.575470\pi\)
\(84\) 1.60422 + 1.03097i 0.175035 + 0.112488i
\(85\) 14.4123 4.68270i 1.56323 0.507910i
\(86\) −0.879468 0.126448i −0.0948354 0.0136353i
\(87\) 0.298508 0.800331i 0.0320034 0.0858045i
\(88\) 2.42365 3.23762i 0.258362 0.345131i
\(89\) 1.85819 1.19419i 0.196968 0.126584i −0.438439 0.898761i \(-0.644469\pi\)
0.635407 + 0.772177i \(0.280832\pi\)
\(90\) −1.41547 + 1.73102i −0.149204 + 0.182466i
\(91\) 2.23156i 0.233931i
\(92\) −2.09170 4.31564i −0.218075 0.449937i
\(93\) 0.104420 0.104420i 0.0108278 0.0108278i
\(94\) 3.56448 + 3.08864i 0.367648 + 0.318568i
\(95\) 15.0685 + 2.83002i 1.54600 + 0.290354i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) −4.95347 1.84755i −0.502949 0.187590i 0.0851674 0.996367i \(-0.472857\pi\)
−0.588116 + 0.808776i \(0.700130\pi\)
\(98\) −2.01571 2.69268i −0.203618 0.272002i
\(99\) 3.88047 1.13941i 0.390001 0.114515i
\(100\) −4.35369 2.45873i −0.435369 0.245873i
\(101\) 5.44360 11.9198i 0.541658 1.18607i −0.418911 0.908027i \(-0.637588\pi\)
0.960570 0.278039i \(-0.0896846\pi\)
\(102\) 5.94806 3.24789i 0.588946 0.321589i
\(103\) 1.02665 14.3545i 0.101159 1.41439i −0.652832 0.757503i \(-0.726419\pi\)
0.753991 0.656885i \(-0.228126\pi\)
\(104\) −0.884399 + 0.766336i −0.0867224 + 0.0751454i
\(105\) −3.68260 + 2.14955i −0.359385 + 0.209775i
\(106\) 4.27774 + 1.95358i 0.415491 + 0.189749i
\(107\) −16.6049 + 3.61218i −1.60526 + 0.349203i −0.923866 0.382715i \(-0.874989\pi\)
−0.681393 + 0.731918i \(0.738625\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) −1.22784 + 8.53983i −0.117606 + 0.817968i 0.842573 + 0.538582i \(0.181040\pi\)
−0.960179 + 0.279386i \(0.909869\pi\)
\(110\) 3.99003 + 8.11548i 0.380435 + 0.773780i
\(111\) −7.42915 + 1.06815i −0.705144 + 0.101384i
\(112\) −0.405350 + 1.86336i −0.0383019 + 0.176071i
\(113\) 11.0726 0.791930i 1.04163 0.0744985i 0.459970 0.887934i \(-0.347860\pi\)
0.581655 + 0.813436i \(0.302405\pi\)
\(114\) 6.85667 0.642186
\(115\) 10.7217 + 0.213726i 0.999801 + 0.0199300i
\(116\) 0.854188 0.0793093
\(117\) −1.16725 + 0.0834831i −0.107912 + 0.00771801i
\(118\) 2.64780 12.1718i 0.243750 1.12050i
\(119\) 12.7919 1.83919i 1.17263 0.168599i
\(120\) −2.11654 0.721297i −0.193213 0.0658451i
\(121\) 0.762275 5.30174i 0.0692978 0.481977i
\(122\) −1.63146 + 2.98779i −0.147705 + 0.270502i
\(123\) 5.13004 1.11597i 0.462560 0.100624i
\(124\) 0.134327 + 0.0613450i 0.0120629 + 0.00550895i
\(125\) 9.31838 6.17802i 0.833461 0.552578i
\(126\) −1.44117 + 1.24878i −0.128390 + 0.111250i
\(127\) −0.454230 + 6.35097i −0.0403064 + 0.563557i 0.936670 + 0.350212i \(0.113890\pi\)
−0.976977 + 0.213345i \(0.931564\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) 0.369101 0.808219i 0.0324975 0.0711597i
\(130\) −0.628989 2.53999i −0.0551660 0.222772i
\(131\) 3.72133 1.09268i 0.325135 0.0954681i −0.115092 0.993355i \(-0.536716\pi\)
0.440227 + 0.897887i \(0.354898\pi\)
\(132\) 2.42365 + 3.23762i 0.210952 + 0.281799i
\(133\) 12.2509 + 4.56934i 1.06228 + 0.396212i
\(134\) −0.827041 5.75220i −0.0714454 0.496914i
\(135\) −1.26212 1.84582i −0.108626 0.158863i
\(136\) 5.12174 + 4.43801i 0.439186 + 0.380557i
\(137\) −2.06556 + 2.06556i −0.176473 + 0.176473i −0.789816 0.613343i \(-0.789824\pi\)
0.613343 + 0.789816i \(0.289824\pi\)
\(138\) 4.73013 0.791114i 0.402655 0.0673441i
\(139\) 16.4508i 1.39534i 0.716419 + 0.697670i \(0.245780\pi\)
−0.716419 + 0.697670i \(0.754220\pi\)
\(140\) −3.30096 2.69922i −0.278982 0.228126i
\(141\) −3.96775 + 2.54992i −0.334145 + 0.214742i
\(142\) 4.85813 6.48970i 0.407685 0.544603i
\(143\) −1.65392 + 4.43434i −0.138308 + 0.370818i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −0.867145 + 1.70183i −0.0720125 + 0.141330i
\(146\) 0.966138 + 0.620899i 0.0799581 + 0.0513860i
\(147\) 3.15150 1.17545i 0.259931 0.0969493i
\(148\) −3.59702 6.58746i −0.295674 0.541486i
\(149\) −3.49745 4.03628i −0.286523 0.330665i 0.594182 0.804331i \(-0.297476\pi\)
−0.880705 + 0.473666i \(0.842930\pi\)
\(150\) 3.58571 3.48463i 0.292772 0.284519i
\(151\) −3.75228 1.10177i −0.305356 0.0896606i 0.125465 0.992098i \(-0.459958\pi\)
−0.430821 + 0.902437i \(0.641776\pi\)
\(152\) 2.39616 + 6.42435i 0.194354 + 0.521084i
\(153\) 1.44056 + 6.62216i 0.116463 + 0.535370i
\(154\) 2.17278 + 7.39982i 0.175088 + 0.596295i
\(155\) −0.258585 + 0.205350i −0.0207700 + 0.0164941i
\(156\) −0.486130 1.06448i −0.0389216 0.0852263i
\(157\) −5.95690 4.45928i −0.475412 0.355889i 0.334543 0.942380i \(-0.391418\pi\)
−0.809956 + 0.586491i \(0.800509\pi\)
\(158\) 8.33239 + 1.81260i 0.662889 + 0.144203i
\(159\) −3.07963 + 3.55408i −0.244230 + 0.281857i
\(160\) −0.0638355 2.23516i −0.00504664 0.176705i
\(161\) 8.97857 + 1.73871i 0.707610 + 0.137029i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 0.939863 + 13.1410i 0.0736158 + 1.02928i 0.891240 + 0.453531i \(0.149836\pi\)
−0.817625 + 0.575752i \(0.804710\pi\)
\(164\) 2.83837 + 4.41660i 0.221640 + 0.344878i
\(165\) −8.91086 + 1.54201i −0.693710 + 0.120046i
\(166\) 9.27762 4.23695i 0.720083 0.328851i
\(167\) −10.1259 + 7.58015i −0.783565 + 0.586570i −0.914389 0.404836i \(-0.867329\pi\)
0.130824 + 0.991406i \(0.458238\pi\)
\(168\) −1.67368 0.913900i −0.129127 0.0705089i
\(169\) −6.28796 + 9.78426i −0.483689 + 0.752635i
\(170\) −14.0415 + 5.69893i −1.07693 + 0.437088i
\(171\) −1.93175 + 6.57892i −0.147724 + 0.503103i
\(172\) 0.886248 + 0.0633857i 0.0675758 + 0.00483311i
\(173\) 17.2791 + 1.23583i 1.31371 + 0.0939581i 0.710540 0.703657i \(-0.248451\pi\)
0.603166 + 0.797615i \(0.293905\pi\)
\(174\) −0.240652 + 0.819587i −0.0182438 + 0.0621327i
\(175\) 8.72881 3.83647i 0.659836 0.290010i
\(176\) −2.18651 + 3.40227i −0.164814 + 0.256456i
\(177\) 10.9327 + 5.96973i 0.821755 + 0.448712i
\(178\) −1.76827 + 1.32371i −0.132537 + 0.0992161i
\(179\) 7.05558 3.22217i 0.527359 0.240837i −0.133900 0.990995i \(-0.542750\pi\)
0.661258 + 0.750158i \(0.270023\pi\)
\(180\) 1.28838 1.82759i 0.0960299 0.136221i
\(181\) 12.4479 + 19.3693i 0.925245 + 1.43971i 0.897958 + 0.440082i \(0.145050\pi\)
0.0272872 + 0.999628i \(0.491313\pi\)
\(182\) −0.159197 2.22587i −0.0118005 0.164992i
\(183\) −2.40713 2.40713i −0.177940 0.177940i
\(184\) 2.39425 + 4.15543i 0.176506 + 0.306342i
\(185\) 16.7761 0.479120i 1.23340 0.0352256i
\(186\) −0.0967044 + 0.111603i −0.00709071 + 0.00818311i
\(187\) 26.7819 + 5.82605i 1.95849 + 0.426043i
\(188\) −3.77574 2.82648i −0.275374 0.206142i
\(189\) −0.792172 1.73462i −0.0576221 0.126175i
\(190\) −15.2320 1.74783i −1.10505 0.126801i
\(191\) −2.90787 9.90330i −0.210406 0.716578i −0.995291 0.0969355i \(-0.969096\pi\)
0.784885 0.619642i \(-0.212722\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −4.94646 13.2620i −0.356054 0.954618i −0.984284 0.176591i \(-0.943493\pi\)
0.628230 0.778028i \(-0.283780\pi\)
\(194\) 5.07265 + 1.48947i 0.364195 + 0.106937i
\(195\) 2.61431 + 0.112086i 0.187214 + 0.00802665i
\(196\) 2.20267 + 2.54202i 0.157334 + 0.181573i
\(197\) 9.66444 + 17.6991i 0.688563 + 1.26101i 0.954842 + 0.297113i \(0.0960238\pi\)
−0.266279 + 0.963896i \(0.585794\pi\)
\(198\) −3.78929 + 1.41333i −0.269293 + 0.100441i
\(199\) −10.2938 6.61543i −0.729708 0.468955i 0.122293 0.992494i \(-0.460975\pi\)
−0.852002 + 0.523539i \(0.824612\pi\)
\(200\) 4.51800 + 2.14188i 0.319471 + 0.151454i
\(201\) 5.75220 + 0.827041i 0.405729 + 0.0583350i
\(202\) −4.57938 + 12.2778i −0.322204 + 0.863863i
\(203\) −0.976155 + 1.30399i −0.0685127 + 0.0915222i
\(204\) −5.70120 + 3.66394i −0.399164 + 0.256527i
\(205\) −11.6808 + 1.17142i −0.815823 + 0.0818156i
\(206\) 14.3911i 1.00268i
\(207\) −0.573563 + 4.76141i −0.0398654 + 0.330941i
\(208\) 0.827476 0.827476i 0.0573751 0.0573751i
\(209\) 20.9572 + 18.1595i 1.44964 + 1.25612i
\(210\) 3.51987 2.40679i 0.242894 0.166084i
\(211\) −3.54927 24.6857i −0.244342 1.69943i −0.629841 0.776724i \(-0.716880\pi\)
0.385499 0.922708i \(-0.374029\pi\)
\(212\) −4.40621 1.64343i −0.302620 0.112871i
\(213\) 4.85813 + 6.48970i 0.332873 + 0.444667i
\(214\) 16.3049 4.78756i 1.11458 0.327271i
\(215\) −1.02598 + 1.70136i −0.0699711 + 0.116032i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −0.247156 + 0.134957i −0.0167780 + 0.00916149i
\(218\) 0.615490 8.60567i 0.0416862 0.582849i
\(219\) −0.867941 + 0.752075i −0.0586500 + 0.0508205i
\(220\) −4.55882 7.81015i −0.307355 0.526560i
\(221\) −7.21399 3.29452i −0.485266 0.221613i
\(222\) 7.33402 1.59542i 0.492227 0.107077i
\(223\) −10.4897 + 19.2105i −0.702445 + 1.28643i 0.245932 + 0.969287i \(0.420906\pi\)
−0.948377 + 0.317145i \(0.897276\pi\)
\(224\) 0.271386 1.88753i 0.0181327 0.126116i
\(225\) 2.33327 + 4.42220i 0.155551 + 0.294813i
\(226\) −10.9879 + 1.57982i −0.730906 + 0.105088i
\(227\) 5.66486 26.0410i 0.375990 1.72840i −0.268047 0.963406i \(-0.586378\pi\)
0.644038 0.764994i \(-0.277258\pi\)
\(228\) −6.83920 + 0.489149i −0.452937 + 0.0323947i
\(229\) −7.42891 −0.490916 −0.245458 0.969407i \(-0.578938\pi\)
−0.245458 + 0.969407i \(0.578938\pi\)
\(230\) −10.7096 + 0.551694i −0.706170 + 0.0363777i
\(231\) −7.71222 −0.507427
\(232\) −0.852011 + 0.0609371i −0.0559373 + 0.00400071i
\(233\) 5.88731 27.0635i 0.385691 1.77299i −0.218180 0.975909i \(-0.570012\pi\)
0.603870 0.797083i \(-0.293624\pi\)
\(234\) 1.15832 0.166541i 0.0757215 0.0108871i
\(235\) 9.46433 4.65320i 0.617385 0.303542i
\(236\) −1.77273 + 12.3296i −0.115395 + 0.802591i
\(237\) −4.08668 + 7.48420i −0.265459 + 0.486151i
\(238\) −12.6281 + 2.74707i −0.818556 + 0.178066i
\(239\) −1.47592 0.674032i −0.0954696 0.0435995i 0.367108 0.930178i \(-0.380348\pi\)
−0.462577 + 0.886579i \(0.653075\pi\)
\(240\) 2.16260 + 0.568467i 0.139595 + 0.0366944i
\(241\) 0.569493 0.493469i 0.0366843 0.0317871i −0.636326 0.771421i \(-0.719547\pi\)
0.673010 + 0.739633i \(0.265001\pi\)
\(242\) −0.382111 + 5.34261i −0.0245630 + 0.343436i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 1.41415 3.09656i 0.0905319 0.198237i
\(245\) −7.30066 + 1.80790i −0.466422 + 0.115502i
\(246\) −5.03735 + 1.47910i −0.321170 + 0.0943040i
\(247\) −4.80852 6.42343i −0.305959 0.408713i
\(248\) −0.138361 0.0516060i −0.00878593 0.00327698i
\(249\) 1.45151 + 10.0955i 0.0919859 + 0.639776i
\(250\) −8.85390 + 6.82704i −0.559970 + 0.431780i
\(251\) −23.3058 20.1946i −1.47105 1.27467i −0.886007 0.463671i \(-0.846532\pi\)
−0.585043 0.811002i \(-0.698923\pi\)
\(252\) 1.34841 1.34841i 0.0849419 0.0849419i
\(253\) 16.5527 + 10.1095i 1.04066 + 0.635577i
\(254\) 6.36719i 0.399513i
\(255\) −1.51214 15.0783i −0.0946939 0.944238i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −12.9220 + 17.2617i −0.806051 + 1.07676i 0.189439 + 0.981892i \(0.439333\pi\)
−0.995490 + 0.0948656i \(0.969758\pi\)
\(258\) −0.310503 + 0.832491i −0.0193311 + 0.0518286i
\(259\) 14.1670 + 2.03690i 0.880292 + 0.126567i
\(260\) 0.808587 + 2.48864i 0.0501465 + 0.154339i
\(261\) −0.718588 0.461809i −0.0444795 0.0285852i
\(262\) −3.63390 + 1.35538i −0.224503 + 0.0837354i
\(263\) −13.4043 24.5481i −0.826543 1.51370i −0.857679 0.514185i \(-0.828095\pi\)
0.0311367 0.999515i \(-0.490087\pi\)
\(264\) −2.64845 3.05647i −0.163001 0.188113i
\(265\) 7.74733 7.11032i 0.475915 0.436784i
\(266\) −12.5456 3.68373i −0.769222 0.225864i
\(267\) −0.771910 2.06957i −0.0472401 0.126656i
\(268\) 1.23529 + 5.67854i 0.0754574 + 0.346872i
\(269\) −1.38178 4.70591i −0.0842487 0.286925i 0.906583 0.422028i \(-0.138682\pi\)
−0.990832 + 0.135103i \(0.956863\pi\)
\(270\) 1.39058 + 1.75108i 0.0846281 + 0.106567i
\(271\) 7.49644 + 16.4149i 0.455376 + 0.997135i 0.988517 + 0.151109i \(0.0482844\pi\)
−0.533141 + 0.846027i \(0.678988\pi\)
\(272\) −5.42530 4.06133i −0.328957 0.246254i
\(273\) 2.18056 + 0.474351i 0.131973 + 0.0287090i
\(274\) 1.91295 2.20766i 0.115565 0.133369i
\(275\) 20.1885 1.15410i 1.21741 0.0695947i
\(276\) −4.66164 + 1.12654i −0.280598 + 0.0678099i
\(277\) −6.98324 6.98324i −0.419582 0.419582i 0.465477 0.885060i \(-0.345883\pi\)
−0.885060 + 0.465477i \(0.845883\pi\)
\(278\) −1.17359 16.4089i −0.0703871 0.984141i
\(279\) −0.0798373 0.124229i −0.00477974 0.00743741i
\(280\) 3.48511 + 2.45686i 0.208275 + 0.146825i
\(281\) −8.63414 + 3.94308i −0.515070 + 0.235224i −0.655953 0.754802i \(-0.727733\pi\)
0.140883 + 0.990026i \(0.455006\pi\)
\(282\) 3.77574 2.82648i 0.224842 0.168314i
\(283\) 24.3205 + 13.2800i 1.44570 + 0.789414i 0.994672 0.103094i \(-0.0328741\pi\)
0.451032 + 0.892508i \(0.351056\pi\)
\(284\) −4.38278 + 6.81974i −0.260070 + 0.404677i
\(285\) 5.96839 14.1226i 0.353537 0.836550i
\(286\) 1.33337 4.54103i 0.0788436 0.268517i
\(287\) −9.98597 0.714211i −0.589453 0.0421585i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) −8.15001 + 27.7564i −0.479413 + 1.63273i
\(290\) 0.743528 1.75936i 0.0436615 0.103313i
\(291\) −2.85826 + 4.44754i −0.167554 + 0.260720i
\(292\) −1.00797 0.550393i −0.0589870 0.0322093i
\(293\) 23.6889 17.7333i 1.38392 1.03599i 0.390606 0.920558i \(-0.372266\pi\)
0.993315 0.115432i \(-0.0368254\pi\)
\(294\) −3.05961 + 1.39728i −0.178440 + 0.0814909i
\(295\) −22.7652 16.0486i −1.32544 0.934383i
\(296\) 4.05780 + 6.31407i 0.235855 + 0.366998i
\(297\) −0.288516 4.03398i −0.0167414 0.234075i
\(298\) 3.77649 + 3.77649i 0.218766 + 0.218766i
\(299\) −4.05833 3.87646i −0.234699 0.224181i
\(300\) −3.32799 + 3.73155i −0.192141 + 0.215441i
\(301\) −1.10956 + 1.28050i −0.0639538 + 0.0738066i
\(302\) 3.82132 + 0.831277i 0.219892 + 0.0478346i
\(303\) −10.4903 7.85294i −0.602652 0.451139i
\(304\) −2.84836 6.23704i −0.163365 0.357719i
\(305\) 4.73381 + 5.96102i 0.271057 + 0.341327i
\(306\) −1.90931 6.50252i −0.109148 0.371724i
\(307\) −7.00839 32.2170i −0.399990 1.83872i −0.531039 0.847347i \(-0.678198\pi\)
0.131050 0.991376i \(-0.458165\pi\)
\(308\) −2.69515 7.22596i −0.153570 0.411737i
\(309\) −13.8082 4.05445i −0.785521 0.230650i
\(310\) 0.243277 0.223274i 0.0138172 0.0126811i
\(311\) −11.1534 12.8717i −0.632449 0.729885i 0.345572 0.938392i \(-0.387685\pi\)
−0.978021 + 0.208507i \(0.933140\pi\)
\(312\) 0.560830 + 1.02708i 0.0317508 + 0.0581472i
\(313\) 7.68445 2.86615i 0.434351 0.162004i −0.122771 0.992435i \(-0.539178\pi\)
0.557122 + 0.830431i \(0.311905\pi\)
\(314\) 6.25984 + 4.02295i 0.353263 + 0.227028i
\(315\) 1.31763 + 4.05536i 0.0742402 + 0.228494i
\(316\) −8.44047 1.21356i −0.474813 0.0682679i
\(317\) −1.63676 + 4.38833i −0.0919297 + 0.246473i −0.974775 0.223192i \(-0.928352\pi\)
0.882845 + 0.469665i \(0.155625\pi\)
\(318\) 2.81823 3.76472i 0.158039 0.211115i
\(319\) −2.90618 + 1.86769i −0.162715 + 0.104570i
\(320\) 0.223127 + 2.22491i 0.0124732 + 0.124376i
\(321\) 16.9933i 0.948472i
\(322\) −9.07973 1.09375i −0.505994 0.0609524i
\(323\) −32.8577 + 32.8577i −1.82825 + 1.82825i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −5.77909 0.915411i −0.320566 0.0507779i
\(326\) −1.87494 13.0405i −0.103843 0.722245i
\(327\) 8.08368 + 3.01506i 0.447028 + 0.166733i
\(328\) −3.14622 4.20286i −0.173721 0.232064i
\(329\) 8.62973 2.53392i 0.475772 0.139699i
\(330\) 8.77815 2.17378i 0.483221 0.119663i
\(331\) 2.87836 6.30272i 0.158209 0.346429i −0.813883 0.581028i \(-0.802651\pi\)
0.972092 + 0.234599i \(0.0753778\pi\)
\(332\) −8.95172 + 4.88801i −0.491289 + 0.268264i
\(333\) −0.535439 + 7.48642i −0.0293419 + 0.410253i
\(334\) 9.55934 8.28321i 0.523064 0.453237i
\(335\) −12.5676 3.30356i −0.686643 0.180493i
\(336\) 1.73462 + 0.792172i 0.0946310 + 0.0432165i
\(337\) −3.46390 + 0.753524i −0.188690 + 0.0410471i −0.305917 0.952058i \(-0.598963\pi\)
0.117227 + 0.993105i \(0.462599\pi\)
\(338\) 5.57394 10.2079i 0.303182 0.555237i
\(339\) 1.57982 10.9879i 0.0858043 0.596782i
\(340\) 13.5991 6.68612i 0.737517 0.362606i
\(341\) −0.591148 + 0.0849942i −0.0320124 + 0.00460269i
\(342\) 1.45749 6.69997i 0.0788120 0.362293i
\(343\) −19.7124 + 1.40986i −1.06437 + 0.0761251i
\(344\) −0.888512 −0.0479053
\(345\) 2.48790 10.4312i 0.133944 0.561598i
\(346\) −17.3232 −0.931303
\(347\) 8.95823 0.640705i 0.480903 0.0343949i 0.171216 0.985233i \(-0.445230\pi\)
0.309687 + 0.950839i \(0.399776\pi\)
\(348\) 0.181571 0.834667i 0.00973321 0.0447428i
\(349\) 4.93667 0.709787i 0.264254 0.0379940i −0.00891418 0.999960i \(-0.502838\pi\)
0.273168 + 0.961966i \(0.411928\pi\)
\(350\) −8.43288 + 4.44940i −0.450756 + 0.237831i
\(351\) −0.166541 + 1.15832i −0.00888929 + 0.0618263i
\(352\) 1.93822 3.54959i 0.103308 0.189194i
\(353\) 16.2981 3.54542i 0.867458 0.188704i 0.243251 0.969963i \(-0.421786\pi\)
0.624207 + 0.781259i \(0.285422\pi\)
\(354\) −11.3308 5.17459i −0.602223 0.275026i
\(355\) −9.13800 15.6552i −0.484994 0.830891i
\(356\) 1.66933 1.44648i 0.0884742 0.0766634i
\(357\) 0.921946 12.8905i 0.0487945 0.682237i
\(358\) −6.80773 + 3.71730i −0.359800 + 0.196466i
\(359\) −0.616819 + 1.35065i −0.0325545 + 0.0712844i −0.925211 0.379454i \(-0.876112\pi\)
0.892656 + 0.450738i \(0.148839\pi\)
\(360\) −1.15472 + 1.91485i −0.0608588 + 0.100921i
\(361\) −26.8791 + 7.89242i −1.41469 + 0.415390i
\(362\) −13.7980 18.4319i −0.725205 0.968761i
\(363\) −5.01855 1.87182i −0.263405 0.0982451i
\(364\) 0.317583 + 2.20884i 0.0166459 + 0.115775i
\(365\) 2.11983 1.44948i 0.110957 0.0758693i
\(366\) 2.57272 + 2.22927i 0.134478 + 0.116526i
\(367\) −10.4850 + 10.4850i −0.547311 + 0.547311i −0.925662 0.378351i \(-0.876491\pi\)
0.378351 + 0.925662i \(0.376491\pi\)
\(368\) −2.68459 3.97404i −0.139944 0.207161i
\(369\) 5.25002i 0.273305i
\(370\) −16.6991 + 1.67469i −0.868147 + 0.0870630i
\(371\) 7.54420 4.84837i 0.391676 0.251715i
\(372\) 0.0884963 0.118217i 0.00458832 0.00612928i
\(373\) −12.4638 + 33.4168i −0.645351 + 1.73025i 0.0370878 + 0.999312i \(0.488192\pi\)
−0.682439 + 0.730942i \(0.739081\pi\)
\(374\) −27.1293 3.90060i −1.40282 0.201695i
\(375\) −4.05607 10.4187i −0.209454 0.538017i
\(376\) 3.96775 + 2.54992i 0.204621 + 0.131502i
\(377\) 0.936569 0.349322i 0.0482358 0.0179910i
\(378\) 0.913900 + 1.67368i 0.0470059 + 0.0860850i
\(379\) 4.82623 + 5.56977i 0.247907 + 0.286100i 0.866041 0.499973i \(-0.166657\pi\)
−0.618134 + 0.786073i \(0.712111\pi\)
\(380\) 15.3179 + 0.656741i 0.785792 + 0.0336901i
\(381\) 6.10927 + 1.79384i 0.312988 + 0.0919015i
\(382\) 3.60696 + 9.67062i 0.184548 + 0.494792i
\(383\) 3.72729 + 17.1341i 0.190456 + 0.875510i 0.968833 + 0.247714i \(0.0796793\pi\)
−0.778378 + 0.627796i \(0.783957\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) 17.1326 + 1.96592i 0.873160 + 0.100193i
\(386\) 5.87996 + 12.8753i 0.299282 + 0.655336i
\(387\) −0.711290 0.532465i −0.0361569 0.0270667i
\(388\) −5.16598 1.12379i −0.262263 0.0570519i
\(389\) 18.7288 21.6142i 0.949588 1.09588i −0.0457038 0.998955i \(-0.514553\pi\)
0.995291 0.0969275i \(-0.0309015\pi\)
\(390\) −2.61564 + 0.0747021i −0.132448 + 0.00378269i
\(391\) −18.8761 + 26.4583i −0.954606 + 1.33805i
\(392\) −2.37841 2.37841i −0.120128 0.120128i
\(393\) −0.276685 3.86856i −0.0139569 0.195143i
\(394\) −10.9025 16.9646i −0.549258 0.854662i
\(395\) 10.9863 15.5843i 0.552782 0.784134i
\(396\) 3.67881 1.68006i 0.184867 0.0844261i
\(397\) 5.08819 3.80897i 0.255369 0.191167i −0.463921 0.885876i \(-0.653558\pi\)
0.719290 + 0.694710i \(0.244467\pi\)
\(398\) 10.7395 + 5.86422i 0.538323 + 0.293947i
\(399\) 7.06902 10.9996i 0.353894 0.550669i
\(400\) −4.65929 1.81411i −0.232965 0.0907056i
\(401\) 9.54088 32.4932i 0.476449 1.62263i −0.274017 0.961725i \(-0.588352\pi\)
0.750465 0.660910i \(-0.229829\pi\)
\(402\) −5.79654 0.414577i −0.289105 0.0206772i
\(403\) 0.172369 + 0.0123281i 0.00858632 + 0.000614106i
\(404\) 3.69182 12.5732i 0.183675 0.625540i
\(405\) −2.07192 + 0.840918i −0.102955 + 0.0417855i
\(406\) 0.880642 1.37031i 0.0437055 0.0680072i
\(407\) 26.6416 + 14.5474i 1.32057 + 0.721088i
\(408\) 5.42530 4.06133i 0.268592 0.201066i
\(409\) 8.13727 3.71617i 0.402362 0.183753i −0.203947 0.978982i \(-0.565377\pi\)
0.606309 + 0.795229i \(0.292650\pi\)
\(410\) 11.5675 2.00174i 0.571277 0.0988587i
\(411\) 1.57929 + 2.45743i 0.0779008 + 0.121216i
\(412\) −1.02665 14.3545i −0.0505795 0.707194i
\(413\) −16.7964 16.7964i −0.826496 0.826496i
\(414\) 0.232427 4.79020i 0.0114232 0.235425i
\(415\) −0.651078 22.7971i −0.0319602 1.11906i
\(416\) −0.766336 + 0.884399i −0.0375727 + 0.0433612i
\(417\) 16.0749 + 3.49687i 0.787190 + 0.171243i
\(418\) −22.1993 16.6182i −1.08580 0.812821i
\(419\) 12.2219 + 26.7622i 0.597077 + 1.30742i 0.931070 + 0.364841i \(0.118877\pi\)
−0.333992 + 0.942576i \(0.608396\pi\)
\(420\) −3.33921 + 2.65176i −0.162937 + 0.129393i
\(421\) −4.64335 15.8138i −0.226303 0.770718i −0.991858 0.127347i \(-0.959354\pi\)
0.765555 0.643370i \(-0.222464\pi\)
\(422\) 5.30128 + 24.3696i 0.258062 + 1.18629i
\(423\) 1.64824 + 4.41910i 0.0801402 + 0.214864i
\(424\) 4.51223 + 1.32491i 0.219133 + 0.0643433i
\(425\) −0.484401 + 33.8817i −0.0234969 + 1.64350i
\(426\) −5.30872 6.12659i −0.257208 0.296834i
\(427\) 3.11109 + 5.69754i 0.150556 + 0.275723i
\(428\) −15.9218 + 5.93854i −0.769612 + 0.287050i
\(429\) 3.98143 + 2.55871i 0.192225 + 0.123536i
\(430\) 0.901990 1.77022i 0.0434978 0.0853676i
\(431\) 30.8964 + 4.44223i 1.48823 + 0.213975i 0.837960 0.545731i \(-0.183748\pi\)
0.650267 + 0.759706i \(0.274657\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) −23.8096 + 31.8059i −1.14422 + 1.52850i −0.333799 + 0.942644i \(0.608331\pi\)
−0.810418 + 0.585852i \(0.800760\pi\)
\(434\) 0.236898 0.152245i 0.0113715 0.00730800i
\(435\) 1.47862 + 1.20908i 0.0708943 + 0.0579709i
\(436\) 8.62765i 0.413190i
\(437\) −29.5909 + 14.3421i −1.41553 + 0.686075i
\(438\) 0.812077 0.812077i 0.0388025 0.0388025i
\(439\) −20.4028 17.6791i −0.973773 0.843779i 0.0139644 0.999902i \(-0.495555\pi\)
−0.987738 + 0.156123i \(0.950100\pi\)
\(440\) 5.10437 + 7.46503i 0.243341 + 0.355881i
\(441\) −0.478686 3.32934i −0.0227946 0.158540i
\(442\) 7.43064 + 2.77149i 0.353440 + 0.131826i
\(443\) 8.27882 + 11.0592i 0.393339 + 0.525439i 0.952874 0.303368i \(-0.0981111\pi\)
−0.559535 + 0.828807i \(0.689020\pi\)
\(444\) −7.20152 + 2.11456i −0.341769 + 0.100352i
\(445\) 1.18724 + 4.79430i 0.0562804 + 0.227272i
\(446\) 9.09255 19.9099i 0.430545 0.942762i
\(447\) −4.68747 + 2.55955i −0.221710 + 0.121063i
\(448\) −0.136040 + 1.90208i −0.00642727 + 0.0898650i
\(449\) −14.9053 + 12.9155i −0.703426 + 0.609522i −0.931337 0.364160i \(-0.881356\pi\)
0.227910 + 0.973682i \(0.426811\pi\)
\(450\) −2.64280 4.24448i −0.124583 0.200087i
\(451\) −19.3138 8.82033i −0.909453 0.415333i
\(452\) 10.8472 2.35967i 0.510210 0.110989i
\(453\) −1.87419 + 3.43233i −0.0880573 + 0.161265i
\(454\) −3.79269 + 26.3787i −0.178000 + 1.23802i
\(455\) −4.72317 1.60961i −0.221426 0.0754598i
\(456\) 6.78687 0.975805i 0.317825 0.0456963i
\(457\) −2.80305 + 12.8854i −0.131121 + 0.602755i 0.863949 + 0.503580i \(0.167984\pi\)
−0.995070 + 0.0991749i \(0.968380\pi\)
\(458\) 7.40998 0.529972i 0.346246 0.0247640i
\(459\) 6.77703 0.316325
\(460\) 10.6430 1.31430i 0.496231 0.0612797i
\(461\) 1.84467 0.0859148 0.0429574 0.999077i \(-0.486322\pi\)
0.0429574 + 0.999077i \(0.486322\pi\)
\(462\) 7.69257 0.550184i 0.357891 0.0255969i
\(463\) −1.91391 + 8.79812i −0.0889471 + 0.408883i −0.999994 0.00341924i \(-0.998912\pi\)
0.911047 + 0.412302i \(0.135275\pi\)
\(464\) 0.845493 0.121564i 0.0392510 0.00564345i
\(465\) 0.145691 + 0.296326i 0.00675624 + 0.0137418i
\(466\) −3.94162 + 27.4146i −0.182592 + 1.26996i
\(467\) −17.4287 + 31.9183i −0.806505 + 1.47700i 0.0710204 + 0.997475i \(0.477374\pi\)
−0.877526 + 0.479530i \(0.840807\pi\)
\(468\) −1.14348 + 0.248750i −0.0528576 + 0.0114985i
\(469\) −10.0805 4.60359i −0.465472 0.212574i
\(470\) −9.10826 + 5.31653i −0.420133 + 0.245233i
\(471\) −5.62360 + 4.87288i −0.259122 + 0.224530i
\(472\) 0.888631 12.4247i 0.0409026 0.571893i
\(473\) −3.15385 + 1.72213i −0.145014 + 0.0791837i
\(474\) 3.54235 7.75667i 0.162706 0.356276i
\(475\) −16.8587 + 29.8518i −0.773531 + 1.36969i
\(476\) 12.3999 3.64095i 0.568349 0.166882i
\(477\) 2.81823 + 3.76472i 0.129038 + 0.172375i
\(478\) 1.52025 + 0.567024i 0.0695346 + 0.0259351i
\(479\) −2.59986 18.0824i −0.118791 0.826206i −0.958891 0.283775i \(-0.908413\pi\)
0.840100 0.542431i \(-0.182496\pi\)
\(480\) −2.19765 0.412740i −0.100308 0.0188389i
\(481\) −6.63789 5.75177i −0.302662 0.262258i
\(482\) −0.532838 + 0.532838i −0.0242701 + 0.0242701i
\(483\) 3.60750 8.40379i 0.164147 0.382386i
\(484\) 5.35626i 0.243466i
\(485\) 7.48333 9.15158i 0.339800 0.415552i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) −5.39094 + 7.20145i −0.244287 + 0.326329i −0.905880 0.423534i \(-0.860790\pi\)
0.661594 + 0.749863i \(0.269880\pi\)
\(488\) −1.18964 + 3.18956i −0.0538527 + 0.144385i
\(489\) 13.0405 + 1.87494i 0.589711 + 0.0847876i
\(490\) 7.15308 2.32411i 0.323143 0.104993i
\(491\) 21.7034 + 13.9479i 0.979461 + 0.629461i 0.929318 0.369281i \(-0.120396\pi\)
0.0501429 + 0.998742i \(0.484032\pi\)
\(492\) 4.91900 1.83469i 0.221766 0.0827143i
\(493\) −2.77430 5.08076i −0.124948 0.228826i
\(494\) 5.25451 + 6.06403i 0.236412 + 0.272833i
\(495\) −0.387367 + 9.03500i −0.0174109 + 0.406093i
\(496\) 0.141690 + 0.0416039i 0.00636207 + 0.00186807i
\(497\) −5.40233 14.4842i −0.242328 0.649705i
\(498\) −2.16802 9.96622i −0.0971513 0.446597i
\(499\) −10.1088 34.4274i −0.452532 1.54118i −0.797944 0.602731i \(-0.794079\pi\)
0.345412 0.938451i \(-0.387739\pi\)
\(500\) 8.34430 7.44128i 0.373169 0.332784i
\(501\) 5.25451 + 11.5058i 0.234754 + 0.514040i
\(502\) 24.6871 + 18.4805i 1.10184 + 0.824827i
\(503\) −24.4617 5.32132i −1.09069 0.237266i −0.368966 0.929443i \(-0.620288\pi\)
−0.721728 + 0.692177i \(0.756652\pi\)
\(504\) −1.24878 + 1.44117i −0.0556251 + 0.0641948i
\(505\) 21.3023 + 20.1193i 0.947940 + 0.895298i
\(506\) −17.2317 8.90286i −0.766045 0.395780i
\(507\) 8.22405 + 8.22405i 0.365243 + 0.365243i
\(508\) 0.454230 + 6.35097i 0.0201532 + 0.281779i
\(509\) −20.5096 31.9135i −0.909070 1.41454i −0.910031 0.414541i \(-0.863942\pi\)
0.000960889 1.00000i \(-0.499694\pi\)
\(510\) 2.58396 + 14.9320i 0.114420 + 0.661199i
\(511\) 1.99212 0.909770i 0.0881262 0.0402459i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) 6.01795 + 3.28605i 0.265699 + 0.145083i
\(514\) 11.6576 18.1396i 0.514195 0.800104i
\(515\) 29.6413 + 12.5268i 1.30615 + 0.551996i
\(516\) 0.250323 0.852521i 0.0110198 0.0375301i
\(517\) 19.0262 + 1.36078i 0.836771 + 0.0598470i
\(518\) −14.2762 1.02105i −0.627259 0.0448624i
\(519\) 4.88052 16.6215i 0.214231 0.729604i
\(520\) −0.984065 2.42462i −0.0431541 0.106327i
\(521\) 12.7594 19.8540i 0.558999 0.869819i −0.440612 0.897697i \(-0.645239\pi\)
0.999611 + 0.0278782i \(0.00887505\pi\)
\(522\) 0.749703 + 0.409369i 0.0328136 + 0.0179176i
\(523\) −1.17200 + 0.877351i −0.0512481 + 0.0383639i −0.624595 0.780949i \(-0.714736\pi\)
0.573347 + 0.819313i \(0.305645\pi\)
\(524\) 3.52795 1.61116i 0.154119 0.0703839i
\(525\) −1.89335 9.34483i −0.0826327 0.407842i
\(526\) 15.1214 + 23.5293i 0.659323 + 1.02593i
\(527\) −0.0713945 0.998226i −0.00310999 0.0434834i
\(528\) 2.85974 + 2.85974i 0.124454 + 0.124454i
\(529\) −18.7588 + 13.3082i −0.815600 + 0.578617i
\(530\) −7.22035 + 7.64490i −0.313632 + 0.332073i
\(531\) 8.15722 9.41394i 0.353993 0.408530i
\(532\) 12.7765 + 2.77935i 0.553929 + 0.120500i
\(533\) 4.91830 + 3.68179i 0.213035 + 0.159476i
\(534\) 0.917585 + 2.00923i 0.0397078 + 0.0869479i
\(535\) 4.33176 37.7504i 0.187278 1.63209i
\(536\) −1.63725 5.57595i −0.0707182 0.240844i
\(537\) −1.64877 7.57926i −0.0711495 0.327069i
\(538\) 1.71398 + 4.59535i 0.0738948 + 0.198120i
\(539\) −13.0522 3.83248i −0.562199 0.165077i
\(540\) −1.51196 1.64742i −0.0650644 0.0708935i
\(541\) 15.4540 + 17.8348i 0.664418 + 0.766780i 0.983492 0.180950i \(-0.0579173\pi\)
−0.319074 + 0.947730i \(0.603372\pi\)
\(542\) −8.64837 15.8383i −0.371479 0.680313i
\(543\) 21.5726 8.04618i 0.925771 0.345295i
\(544\) 5.70120 + 3.66394i 0.244437 + 0.157090i
\(545\) −17.1892 8.75853i −0.736306 0.375174i
\(546\) −2.20884 0.317583i −0.0945297 0.0135913i
\(547\) −4.16990 + 11.1799i −0.178292 + 0.478019i −0.995098 0.0988932i \(-0.968470\pi\)
0.816806 + 0.576912i \(0.195743\pi\)
\(548\) −1.75058 + 2.33850i −0.0747811 + 0.0998958i
\(549\) −2.86379 + 1.84045i −0.122224 + 0.0785484i
\(550\) −20.0547 + 2.59139i −0.855136 + 0.110497i
\(551\) 5.85688i 0.249511i
\(552\) 4.56940 1.45623i 0.194486 0.0619813i
\(553\) 11.4983 11.4983i 0.488956 0.488956i
\(554\) 7.46363 + 6.46727i 0.317099 + 0.274768i
\(555\) 3.09784 16.4945i 0.131496 0.700154i
\(556\) 2.34120 + 16.2834i 0.0992888 + 0.690569i
\(557\) −4.08705 1.52439i −0.173174 0.0645905i 0.261382 0.965235i \(-0.415822\pi\)
−0.434556 + 0.900645i \(0.643095\pi\)
\(558\) 0.0884963 + 0.118217i 0.00374635 + 0.00500454i
\(559\) 0.997643 0.292934i 0.0421958 0.0123898i
\(560\) −3.65150 2.20197i −0.154304 0.0930504i
\(561\) 11.3858 24.9314i 0.480709 1.05261i
\(562\) 8.33085 4.54899i 0.351416 0.191887i
\(563\) −1.12949 + 15.7924i −0.0476024 + 0.665569i 0.916499 + 0.400036i \(0.131002\pi\)
−0.964102 + 0.265533i \(0.914452\pi\)
\(564\) −3.56448 + 3.08864i −0.150092 + 0.130055i
\(565\) −6.31050 + 24.0068i −0.265485 + 1.00998i
\(566\) −25.2059 11.5112i −1.05948 0.483850i
\(567\) −1.86336 + 0.405350i −0.0782539 + 0.0170231i
\(568\) 3.88510 7.11503i 0.163015 0.298540i
\(569\) 1.79708 12.4990i 0.0753376 0.523985i −0.916850 0.399231i \(-0.869277\pi\)
0.992188 0.124753i \(-0.0398139\pi\)
\(570\) −4.94569 + 14.5124i −0.207152 + 0.607857i
\(571\) 21.8148 3.13650i 0.912923 0.131259i 0.330183 0.943917i \(-0.392890\pi\)
0.582740 + 0.812659i \(0.301981\pi\)
\(572\) −1.00602 + 4.62458i −0.0420636 + 0.193363i
\(573\) −10.2951 + 0.736319i −0.430084 + 0.0307602i
\(574\) 10.0115 0.417871
\(575\) −8.18587 + 22.5387i −0.341374 + 0.939927i
\(576\) −1.00000 −0.0416667
\(577\) 2.51039 0.179547i 0.104509 0.00747462i −0.0189868 0.999820i \(-0.506044\pi\)
0.123496 + 0.992345i \(0.460589\pi\)
\(578\) 6.14913 28.2671i 0.255770 1.17576i
\(579\) −14.0104 + 2.01438i −0.582250 + 0.0837150i
\(580\) −0.616123 + 1.80792i −0.0255831 + 0.0750698i
\(581\) 2.76795 19.2515i 0.114834 0.798688i
\(582\) 2.53370 4.64012i 0.105025 0.192339i
\(583\) 18.5845 4.04281i 0.769691 0.167436i
\(584\) 1.04467 + 0.477083i 0.0432286 + 0.0197418i
\(585\) 0.665235 2.53074i 0.0275041 0.104633i
\(586\) −22.3635 + 19.3781i −0.923827 + 0.800501i
\(587\) −0.777326 + 10.8684i −0.0320837 + 0.448588i 0.955865 + 0.293806i \(0.0949221\pi\)
−0.987949 + 0.154782i \(0.950532\pi\)
\(588\) 2.95214 1.61199i 0.121744 0.0664773i
\(589\) 0.420622 0.921034i 0.0173314 0.0379506i
\(590\) 23.8521 + 14.3836i 0.981976 + 0.592164i
\(591\) 19.3489 5.68136i 0.795909 0.233700i
\(592\) −4.49790 6.00850i −0.184863 0.246948i
\(593\) 25.6852 + 9.58007i 1.05476 + 0.393407i 0.816230 0.577728i \(-0.196060\pi\)
0.238534 + 0.971134i \(0.423333\pi\)
\(594\) 0.575562 + 4.00312i 0.0236156 + 0.164250i
\(595\) −5.33401 + 28.4011i −0.218673 + 1.16433i
\(596\) −4.03628 3.49745i −0.165332 0.143261i
\(597\) −8.65235 + 8.65235i −0.354117 + 0.354117i
\(598\) 4.32453 + 3.57706i 0.176843 + 0.146277i
\(599\) 16.2672i 0.664662i 0.943163 + 0.332331i \(0.107835\pi\)
−0.943163 + 0.332331i \(0.892165\pi\)
\(600\) 3.05330 3.95946i 0.124651 0.161644i
\(601\) −1.86381 + 1.19780i −0.0760264 + 0.0488592i −0.578102 0.815965i \(-0.696206\pi\)
0.502075 + 0.864824i \(0.332570\pi\)
\(602\) 1.01538 1.35639i 0.0413838 0.0552823i
\(603\) 2.03086 5.44494i 0.0827029 0.221735i
\(604\) −3.87088 0.556549i −0.157504 0.0226457i
\(605\) 10.6715 + 5.43751i 0.433859 + 0.221066i
\(606\) 11.0238 + 7.08456i 0.447811 + 0.287791i
\(607\) 16.8021 6.26687i 0.681977 0.254364i 0.0154893 0.999880i \(-0.495069\pi\)
0.666488 + 0.745516i \(0.267797\pi\)
\(608\) 3.28605 + 6.01795i 0.133267 + 0.244060i
\(609\) 1.06669 + 1.23103i 0.0432246 + 0.0498839i
\(610\) −5.14701 5.60812i −0.208396 0.227066i
\(611\) −5.29578 1.55498i −0.214244 0.0629078i
\(612\) 2.36833 + 6.34974i 0.0957341 + 0.256673i
\(613\) −1.24723 5.73343i −0.0503752 0.231571i 0.945075 0.326853i \(-0.105988\pi\)
−0.995450 + 0.0952822i \(0.969625\pi\)
\(614\) 9.28887 + 31.6350i 0.374868 + 1.27668i
\(615\) −1.33828 + 11.6629i −0.0539648 + 0.470292i
\(616\) 3.20377 + 7.01528i 0.129084 + 0.282654i
\(617\) −12.1261 9.07749i −0.488179 0.365446i 0.326652 0.945145i \(-0.394079\pi\)
−0.814831 + 0.579699i \(0.803170\pi\)
\(618\) 14.0623 + 3.05906i 0.565667 + 0.123053i
\(619\) −1.45069 + 1.67419i −0.0583082 + 0.0672913i −0.784154 0.620566i \(-0.786903\pi\)
0.725846 + 0.687857i \(0.241448\pi\)
\(620\) −0.226729 + 0.240060i −0.00910564 + 0.00964104i
\(621\) 4.53068 + 1.57257i 0.181810 + 0.0631049i
\(622\) 12.0432 + 12.0432i 0.482888 + 0.482888i
\(623\) 0.300490 + 4.20139i 0.0120389 + 0.168325i
\(624\) −0.632673 0.984458i −0.0253272 0.0394099i
\(625\) 6.35469 + 24.1789i 0.254188 + 0.967155i
\(626\) −7.46040 + 3.40705i −0.298178 + 0.136173i
\(627\) 22.1993 16.6182i 0.886553 0.663666i
\(628\) −6.53089 3.56613i −0.260611 0.142304i
\(629\) −27.4999 + 42.7906i −1.09649 + 1.70617i
\(630\) −1.60358 3.95103i −0.0638882 0.157413i
\(631\) 8.85751 30.1659i 0.352612 1.20089i −0.572089 0.820191i \(-0.693867\pi\)
0.924701 0.380694i \(-0.124315\pi\)
\(632\) 8.50554 + 0.608328i 0.338332 + 0.0241980i
\(633\) −24.8760 1.77917i −0.988732 0.0707155i
\(634\) 1.31953 4.49391i 0.0524053 0.178476i
\(635\) −13.1144 5.54233i −0.520430 0.219940i
\(636\) −2.54248 + 3.95618i −0.100816 + 0.156873i
\(637\) 3.45467 + 1.88639i 0.136879 + 0.0747416i
\(638\) 2.76553 2.07025i 0.109489 0.0819621i
\(639\) 7.37406 3.36762i 0.291713 0.133221i
\(640\) −0.381282 2.20332i −0.0150715 0.0870939i
\(641\) 18.7627 + 29.1953i 0.741081 + 1.15314i 0.983135 + 0.182882i \(0.0585425\pi\)
−0.242054 + 0.970263i \(0.577821\pi\)
\(642\) −1.21229 16.9500i −0.0478451 0.668962i
\(643\) 32.2500 + 32.2500i 1.27182 + 1.27182i 0.945134 + 0.326682i \(0.105931\pi\)
0.326682 + 0.945134i \(0.394069\pi\)
\(644\) 9.13463 + 0.443224i 0.359955 + 0.0174655i
\(645\) 1.44439 + 1.36418i 0.0568729 + 0.0537146i
\(646\) 30.4300 35.1181i 1.19725 1.38170i
\(647\) −5.55695 1.20884i −0.218466 0.0475244i 0.102000 0.994784i \(-0.467476\pi\)
−0.320466 + 0.947260i \(0.603840\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −20.9275 45.8249i −0.821477 1.79878i
\(650\) 5.82967 + 0.500804i 0.228658 + 0.0196431i
\(651\) 0.0793363 + 0.270194i 0.00310943 + 0.0105898i
\(652\) 2.80046 + 12.8735i 0.109674 + 0.504165i
\(653\) −8.32708 22.3258i −0.325864 0.873675i −0.991815 0.127680i \(-0.959247\pi\)
0.665952 0.745995i \(-0.268026\pi\)
\(654\) −8.27817 2.43069i −0.323702 0.0950475i
\(655\) −0.371482 + 8.66449i −0.0145150 + 0.338550i
\(656\) 3.43803 + 3.96770i 0.134233 + 0.154913i
\(657\) 0.550393 + 1.00797i 0.0214729 + 0.0393247i
\(658\) −8.42697 + 3.14310i −0.328518 + 0.122531i
\(659\) 5.58121 + 3.58683i 0.217413 + 0.139723i 0.644815 0.764339i \(-0.276935\pi\)
−0.427402 + 0.904062i \(0.640571\pi\)
\(660\) −8.60071 + 2.79447i −0.334782 + 0.108774i
\(661\) 25.8332 + 3.71426i 1.00480 + 0.144468i 0.625018 0.780610i \(-0.285091\pi\)
0.379777 + 0.925078i \(0.376001\pi\)
\(662\) −2.42139 + 6.49200i −0.0941100 + 0.252319i
\(663\) −4.75267 + 6.34883i −0.184579 + 0.246568i
\(664\) 8.58020 5.51416i 0.332977 0.213991i
\(665\) −18.5077 + 22.6336i −0.717697 + 0.877692i
\(666\) 7.50554i 0.290834i
\(667\) −0.675760 4.04042i −0.0261655 0.156446i
\(668\) −8.94406 + 8.94406i −0.346056 + 0.346056i
\(669\) 16.5418 + 14.3335i 0.639541 + 0.554166i
\(670\) 12.7713 + 2.39858i 0.493398 + 0.0926650i
\(671\) 1.95933 + 13.6274i 0.0756389 + 0.526080i
\(672\) −1.78671 0.666408i −0.0689238 0.0257072i
\(673\) −6.41624 8.57109i −0.247328 0.330391i 0.659647 0.751575i \(-0.270706\pi\)
−0.906975 + 0.421184i \(0.861615\pi\)
\(674\) 3.40131 0.998716i 0.131014 0.0384691i
\(675\) 4.81711 1.33994i 0.185411 0.0515742i
\(676\) −4.83151 + 10.5795i −0.185827 + 0.406905i
\(677\) 17.1728 9.37706i 0.660004 0.360390i −0.114081 0.993471i \(-0.536392\pi\)
0.774085 + 0.633082i \(0.218210\pi\)
\(678\) −0.791930 + 11.0726i −0.0304139 + 0.425242i
\(679\) 7.61919 6.60206i 0.292398 0.253364i
\(680\) −13.0875 + 7.63923i −0.501883 + 0.292951i
\(681\) −24.2417 11.0708i −0.928944 0.424234i
\(682\) 0.583578 0.126950i 0.0223464 0.00486115i
\(683\) 8.49215 15.5522i 0.324943 0.595089i −0.663233 0.748413i \(-0.730816\pi\)
0.988176 + 0.153324i \(0.0489979\pi\)
\(684\) −0.975805 + 6.78687i −0.0373108 + 0.259503i
\(685\) −2.88196 5.86173i −0.110114 0.223965i
\(686\) 19.5616 2.81253i 0.746864 0.107383i
\(687\) −1.57913 + 7.25913i −0.0602475 + 0.276953i
\(688\) 0.886248 0.0633857i 0.0337879 0.00241656i
\(689\) −5.50325 −0.209657
\(690\) −1.73740 + 10.5821i −0.0661418 + 0.402855i
\(691\) −17.0102 −0.647100 −0.323550 0.946211i \(-0.604876\pi\)
−0.323550 + 0.946211i \(0.604876\pi\)
\(692\) 17.2791 1.23583i 0.656853 0.0469791i
\(693\) −1.63935 + 7.53597i −0.0622738 + 0.286268i
\(694\) −8.88970 + 1.27815i −0.337448 + 0.0485177i
\(695\) −34.8188 11.8659i −1.32075 0.450100i
\(696\) −0.121564 + 0.845493i −0.00460786 + 0.0320483i
\(697\) 17.0515 31.2274i 0.645870 1.18282i
\(698\) −4.87346 + 1.06016i −0.184463 + 0.0401275i
\(699\) −25.1936 11.5055i −0.952910 0.435179i
\(700\) 8.09398 5.03966i 0.305924 0.190481i
\(701\) 37.7075 32.6738i 1.42419 1.23407i 0.492757 0.870167i \(-0.335989\pi\)
0.931436 0.363904i \(-0.118556\pi\)
\(702\) 0.0834831 1.16725i 0.00315087 0.0440549i
\(703\) −45.1680 + 24.6636i −1.70354 + 0.930205i
\(704\) −1.68006 + 3.67881i −0.0633196 + 0.138650i
\(705\) −2.53508 10.2371i −0.0954765 0.385553i
\(706\) −16.0036 + 4.69908i −0.602303 + 0.176852i
\(707\) 14.9751 + 20.0044i 0.563196 + 0.752342i
\(708\) 11.6710 + 4.35307i 0.438625 + 0.163599i
\(709\) 1.16913 + 8.13145i 0.0439075 + 0.305383i 0.999927 + 0.0120802i \(0.00384534\pi\)
−0.956020 + 0.293303i \(0.905246\pi\)
\(710\) 10.2315 + 14.9634i 0.383983 + 0.561567i
\(711\) 6.44448 + 5.58417i 0.241687 + 0.209423i
\(712\) −1.56188 + 1.56188i −0.0585341 + 0.0585341i
\(713\) 0.183902 0.683915i 0.00688719 0.0256128i
\(714\) 12.9234i 0.483646i
\(715\) −8.19247 6.69906i −0.306381 0.250531i
\(716\) 6.52520 4.19349i 0.243858 0.156718i
\(717\) −0.972359 + 1.29892i −0.0363134 + 0.0485090i
\(718\) 0.518894 1.39121i 0.0193649 0.0519194i
\(719\) −22.5243 3.23850i −0.840014 0.120776i −0.291140 0.956681i \(-0.594034\pi\)
−0.548875 + 0.835905i \(0.684944\pi\)
\(720\) 1.01517 1.99234i 0.0378331 0.0742502i
\(721\) 23.0866 + 14.8368i 0.859789 + 0.552553i
\(722\) 26.2476 9.78984i 0.976834 0.364340i
\(723\) −0.361137 0.661373i −0.0134308 0.0245967i
\(724\) 15.0777 + 17.4006i 0.560360 + 0.646689i
\(725\) −2.97653 3.06287i −0.110546 0.113752i
\(726\) 5.13929 + 1.50903i 0.190737 + 0.0560055i
\(727\) 2.31363 + 6.20308i 0.0858078 + 0.230060i 0.972766 0.231791i \(-0.0744584\pi\)
−0.886958 + 0.461850i \(0.847186\pi\)
\(728\) −0.474351 2.18056i −0.0175806 0.0808168i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −2.01103 + 1.59701i −0.0744315 + 0.0591082i
\(731\) −2.50141 5.47732i −0.0925180 0.202586i
\(732\) −2.72520 2.04006i −0.100726 0.0754027i
\(733\) 39.5554 + 8.60475i 1.46101 + 0.317824i 0.871683 0.490070i \(-0.163029\pi\)
0.589328 + 0.807894i \(0.299393\pi\)
\(734\) 9.71026 11.2062i 0.358412 0.413630i
\(735\) 0.214715 + 7.51811i 0.00791990 + 0.277310i
\(736\) 2.96125 + 3.77240i 0.109153 + 0.139052i
\(737\) −16.6190 16.6190i −0.612167 0.612167i
\(738\) 0.374532 + 5.23664i 0.0137867 + 0.192763i
\(739\) −13.1124 20.4033i −0.482348 0.750548i 0.511738 0.859141i \(-0.329002\pi\)
−0.994086 + 0.108593i \(0.965365\pi\)
\(740\) 16.5371 2.86173i 0.607917 0.105199i
\(741\) −7.29876 + 3.33323i −0.268127 + 0.122449i
\(742\) −7.17910 + 5.37421i −0.263553 + 0.197293i
\(743\) −12.5162 6.83439i −0.459176 0.250729i 0.232973 0.972483i \(-0.425154\pi\)
−0.692150 + 0.721754i \(0.743336\pi\)
\(744\) −0.0798373 + 0.124229i −0.00292698 + 0.00455447i
\(745\) 11.0656 4.49114i 0.405413 0.164543i
\(746\) 10.0481 34.2208i 0.367888 1.25291i
\(747\) 10.1733 + 0.727610i 0.372222 + 0.0266219i
\(748\) 27.3384 + 1.95528i 0.999592 + 0.0714923i
\(749\) 9.12960 31.0926i 0.333588 1.13610i
\(750\) 4.78899 + 10.1028i 0.174869 + 0.368900i
\(751\) −4.59675 + 7.15268i −0.167738 + 0.261005i −0.914938 0.403594i \(-0.867761\pi\)
0.747201 + 0.664598i \(0.231397\pi\)
\(752\) −4.13955 2.26037i −0.150954 0.0824271i
\(753\) −24.6871 + 18.4805i −0.899649 + 0.673468i
\(754\) −0.909263 + 0.415246i −0.0331134 + 0.0151224i
\(755\) 5.03844 7.14714i 0.183368 0.260111i
\(756\) −1.03097 1.60422i −0.0374960 0.0583450i
\(757\) −3.60672 50.4285i −0.131088 1.83285i −0.459335 0.888263i \(-0.651912\pi\)
0.328247 0.944592i \(-0.393542\pi\)
\(758\) −5.21128 5.21128i −0.189282 0.189282i
\(759\) 13.3970 14.0255i 0.486279 0.509094i
\(760\) −15.3257 + 0.437699i −0.555922 + 0.0158770i
\(761\) −33.9845 + 39.2203i −1.23194 + 1.42173i −0.359403 + 0.933182i \(0.617020\pi\)
−0.872535 + 0.488551i \(0.837526\pi\)
\(762\) −6.22168 1.35344i −0.225388 0.0490301i
\(763\) −13.1708 9.85957i −0.476817 0.356941i
\(764\) −4.28766 9.38866i −0.155122 0.339670i
\(765\) −15.0551 1.72754i −0.544319 0.0624592i
\(766\) −4.94012 16.8245i −0.178494 0.607894i
\(767\) 3.09853 + 14.2437i 0.111881 + 0.514311i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 20.0302 + 5.88139i 0.722306 + 0.212088i 0.622166 0.782885i \(-0.286253\pi\)
0.100140 + 0.994973i \(0.468071\pi\)
\(770\) −17.2292 0.738687i −0.620898 0.0266204i
\(771\) 14.1205 + 16.2959i 0.508537 + 0.586883i
\(772\) −6.78349 12.4230i −0.244143 0.447115i
\(773\) −20.4496 + 7.62730i −0.735521 + 0.274335i