Properties

Label 605.2.s.b.16.10
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.10
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.325381 - 0.0373340i) q^{2} +(1.10628 + 0.803759i) q^{3} +(-1.84355 - 0.428698i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-0.329954 - 0.302829i) q^{6} +(0.602100 + 0.619546i) q^{7} +(1.20079 + 0.428440i) q^{8} +(-0.349226 - 1.07481i) q^{9} +O(q^{10})\) \(q+(-0.325381 - 0.0373340i) q^{2} +(1.10628 + 0.803759i) q^{3} +(-1.84355 - 0.428698i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-0.329954 - 0.302829i) q^{6} +(0.602100 + 0.619546i) q^{7} +(1.20079 + 0.428440i) q^{8} +(-0.349226 - 1.07481i) q^{9} +(0.214477 - 0.247520i) q^{10} +(-3.25996 - 0.610465i) q^{11} +(-1.69491 - 1.95603i) q^{12} +(-2.55116 + 4.23062i) q^{13} +(-0.172782 - 0.224067i) q^{14} +(-1.28791 + 0.459526i) q^{15} +(3.02235 + 1.48599i) q^{16} +(-0.489602 + 0.400345i) q^{17} +(0.0735045 + 0.362759i) q^{18} +(-4.94279 - 0.282639i) q^{19} +(1.39445 - 1.27982i) q^{20} +(0.168125 + 1.16933i) q^{21} +(1.03794 + 0.320341i) q^{22} +(-1.00291 + 6.97541i) q^{23} +(0.984043 + 1.43912i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.988044 - 1.28132i) q^{26} +(1.74523 - 5.37126i) q^{27} +(-0.844400 - 1.40028i) q^{28} +(1.77475 - 4.55842i) q^{29} +(0.436218 - 0.101438i) q^{30} +(-8.67321 - 3.66533i) q^{31} +(-3.07302 - 1.97491i) q^{32} +(-3.11576 - 3.29557i) q^{33} +(0.174253 - 0.111986i) q^{34} +(-0.851269 + 0.147318i) q^{35} +(0.183046 + 2.13117i) q^{36} +(-0.534010 + 6.21737i) q^{37} +(1.59774 + 0.276499i) q^{38} +(-6.22270 + 2.62973i) q^{39} +(-1.03144 + 0.749385i) q^{40} +(-5.07883 + 2.86814i) q^{41} +(-0.0110487 - 0.386756i) q^{42} +(-3.38606 + 0.994238i) q^{43} +(5.74818 + 2.52296i) q^{44} +(1.08434 + 0.318391i) q^{45} +(0.586748 - 2.23222i) q^{46} +(-0.667560 + 3.29454i) q^{47} +(2.14919 + 4.07317i) q^{48} +(0.178579 - 6.25109i) q^{49} +(0.0832605 + 0.316756i) q^{50} +(-0.863417 + 0.0493720i) q^{51} +(6.51684 - 6.70567i) q^{52} +(-9.32119 + 4.58292i) q^{53} +(-0.768393 + 1.68255i) q^{54} +(2.34398 - 2.34643i) q^{55} +(0.457555 + 1.00191i) q^{56} +(-5.24093 - 4.28549i) q^{57} +(-0.747655 + 1.41696i) q^{58} +(5.27417 + 2.97846i) q^{59} +(2.57132 - 0.295032i) q^{60} +(6.49853 - 0.745637i) q^{61} +(2.68525 + 1.51643i) q^{62} +(0.455623 - 0.863502i) q^{63} +(-4.28831 - 3.50653i) q^{64} +(-2.05228 - 4.49386i) q^{65} +(0.890771 + 1.18864i) q^{66} +(5.93481 - 12.9954i) q^{67} +(1.07423 - 0.528163i) q^{68} +(-6.71605 + 6.91065i) q^{69} +(0.282487 - 0.0161532i) q^{70} +(0.575431 + 2.18917i) q^{71} +(0.0411442 - 1.44023i) q^{72} +(5.66598 + 10.7382i) q^{73} +(0.405876 - 2.00308i) q^{74} +(0.347627 - 1.32251i) q^{75} +(8.99109 + 2.64002i) q^{76} +(-1.58461 - 2.38726i) q^{77} +(2.12292 - 0.623347i) q^{78} +(0.475008 + 16.6275i) q^{79} +(-2.93259 + 1.65611i) q^{80} +(3.50505 - 2.54657i) q^{81} +(1.75963 - 0.743626i) q^{82} +(15.4551 + 2.67460i) q^{83} +(0.191346 - 2.22780i) q^{84} +(-0.0541215 - 0.630125i) q^{85} +(1.13888 - 0.197091i) q^{86} +(5.62724 - 3.61641i) q^{87} +(-3.65297 - 2.12973i) q^{88} +(-0.710388 - 0.456539i) q^{89} +(-0.340937 - 0.144081i) q^{90} +(-4.15712 + 0.966697i) q^{91} +(4.83926 - 12.4295i) q^{92} +(-6.64895 - 11.0260i) q^{93} +(0.340209 - 1.04706i) q^{94} +(3.02324 - 3.92060i) q^{95} +(-1.81227 - 4.65477i) q^{96} +(-1.31576 - 1.92424i) q^{97} +(-0.291484 + 2.02732i) q^{98} +(0.482329 + 3.71701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.325381 0.0373340i −0.230079 0.0263991i −0.00181484 0.999998i \(-0.500578\pi\)
−0.228264 + 0.973599i \(0.573305\pi\)
\(3\) 1.10628 + 0.803759i 0.638711 + 0.464050i 0.859407 0.511292i \(-0.170833\pi\)
−0.220696 + 0.975343i \(0.570833\pi\)
\(4\) −1.84355 0.428698i −0.921773 0.214349i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −0.329954 0.302829i −0.134703 0.123630i
\(7\) 0.602100 + 0.619546i 0.227572 + 0.234166i 0.821296 0.570503i \(-0.193252\pi\)
−0.593723 + 0.804669i \(0.702343\pi\)
\(8\) 1.20079 + 0.428440i 0.424542 + 0.151476i
\(9\) −0.349226 1.07481i −0.116409 0.358269i
\(10\) 0.214477 0.247520i 0.0678236 0.0782726i
\(11\) −3.25996 0.610465i −0.982915 0.184062i
\(12\) −1.69491 1.95603i −0.489277 0.564656i
\(13\) −2.55116 + 4.23062i −0.707564 + 1.17336i 0.270027 + 0.962853i \(0.412967\pi\)
−0.977591 + 0.210511i \(0.932487\pi\)
\(14\) −0.172782 0.224067i −0.0461778 0.0598845i
\(15\) −1.28791 + 0.459526i −0.332538 + 0.118649i
\(16\) 3.02235 + 1.48599i 0.755589 + 0.371498i
\(17\) −0.489602 + 0.400345i −0.118746 + 0.0970980i −0.690521 0.723312i \(-0.742619\pi\)
0.571775 + 0.820410i \(0.306255\pi\)
\(18\) 0.0735045 + 0.362759i 0.0173252 + 0.0855031i
\(19\) −4.94279 0.282639i −1.13395 0.0648418i −0.519987 0.854174i \(-0.674063\pi\)
−0.613967 + 0.789332i \(0.710427\pi\)
\(20\) 1.39445 1.27982i 0.311810 0.286176i
\(21\) 0.168125 + 1.16933i 0.0366879 + 0.255170i
\(22\) 1.03794 + 0.320341i 0.221289 + 0.0682969i
\(23\) −1.00291 + 6.97541i −0.209122 + 1.45447i 0.566910 + 0.823779i \(0.308139\pi\)
−0.776032 + 0.630694i \(0.782771\pi\)
\(24\) 0.984043 + 1.43912i 0.200867 + 0.293758i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.988044 1.28132i 0.193771 0.251287i
\(27\) 1.74523 5.37126i 0.335869 1.03370i
\(28\) −0.844400 1.40028i −0.159577 0.264628i
\(29\) 1.77475 4.55842i 0.329564 0.846477i −0.665423 0.746467i \(-0.731749\pi\)
0.994986 0.100011i \(-0.0318877\pi\)
\(30\) 0.436218 0.101438i 0.0796421 0.0185200i
\(31\) −8.67321 3.66533i −1.55775 0.658312i −0.571061 0.820908i \(-0.693468\pi\)
−0.986693 + 0.162595i \(0.948014\pi\)
\(32\) −3.07302 1.97491i −0.543238 0.349118i
\(33\) −3.11576 3.29557i −0.542384 0.573684i
\(34\) 0.174253 0.111986i 0.0298842 0.0192054i
\(35\) −0.851269 + 0.147318i −0.143891 + 0.0249013i
\(36\) 0.183046 + 2.13117i 0.0305077 + 0.355194i
\(37\) −0.534010 + 6.21737i −0.0877908 + 1.02213i 0.811376 + 0.584524i \(0.198719\pi\)
−0.899167 + 0.437605i \(0.855827\pi\)
\(38\) 1.59774 + 0.276499i 0.259187 + 0.0448541i
\(39\) −6.22270 + 2.62973i −0.996429 + 0.421094i
\(40\) −1.03144 + 0.749385i −0.163085 + 0.118488i
\(41\) −5.07883 + 2.86814i −0.793179 + 0.447929i −0.834358 0.551223i \(-0.814161\pi\)
0.0411787 + 0.999152i \(0.486889\pi\)
\(42\) −0.0110487 0.386756i −0.00170485 0.0596777i
\(43\) −3.38606 + 0.994238i −0.516370 + 0.151620i −0.529526 0.848294i \(-0.677630\pi\)
0.0131564 + 0.999913i \(0.495812\pi\)
\(44\) 5.74818 + 2.52296i 0.866570 + 0.380350i
\(45\) 1.08434 + 0.318391i 0.161644 + 0.0474629i
\(46\) 0.586748 2.23222i 0.0865112 0.329123i
\(47\) −0.667560 + 3.29454i −0.0973736 + 0.480558i 0.901486 + 0.432809i \(0.142477\pi\)
−0.998859 + 0.0477489i \(0.984795\pi\)
\(48\) 2.14919 + 4.07317i 0.310209 + 0.587911i
\(49\) 0.178579 6.25109i 0.0255113 0.893013i
\(50\) 0.0832605 + 0.316756i 0.0117748 + 0.0447960i
\(51\) −0.863417 + 0.0493720i −0.120903 + 0.00691346i
\(52\) 6.51684 6.70567i 0.903723 0.929909i
\(53\) −9.32119 + 4.58292i −1.28036 + 0.629512i −0.949382 0.314125i \(-0.898289\pi\)
−0.330982 + 0.943637i \(0.607380\pi\)
\(54\) −0.768393 + 1.68255i −0.104565 + 0.228966i
\(55\) 2.34398 2.34643i 0.316063 0.316393i
\(56\) 0.457555 + 1.00191i 0.0611434 + 0.133885i
\(57\) −5.24093 4.28549i −0.694179 0.567627i
\(58\) −0.747655 + 1.41696i −0.0981719 + 0.186056i
\(59\) 5.27417 + 2.97846i 0.686638 + 0.387763i 0.795217 0.606325i \(-0.207357\pi\)
−0.108578 + 0.994088i \(0.534630\pi\)
\(60\) 2.57132 0.295032i 0.331956 0.0380884i
\(61\) 6.49853 0.745637i 0.832052 0.0954691i 0.312510 0.949914i \(-0.398830\pi\)
0.519541 + 0.854445i \(0.326103\pi\)
\(62\) 2.68525 + 1.51643i 0.341027 + 0.192587i
\(63\) 0.455623 0.863502i 0.0574031 0.108791i
\(64\) −4.28831 3.50653i −0.536038 0.438316i
\(65\) −2.05228 4.49386i −0.254553 0.557394i
\(66\) 0.890771 + 1.18864i 0.109646 + 0.146311i
\(67\) 5.93481 12.9954i 0.725053 1.58764i −0.0816321 0.996663i \(-0.526013\pi\)
0.806685 0.590982i \(-0.201259\pi\)
\(68\) 1.07423 0.528163i 0.130270 0.0640492i
\(69\) −6.71605 + 6.91065i −0.808517 + 0.831944i
\(70\) 0.282487 0.0161532i 0.0337636 0.00193067i
\(71\) 0.575431 + 2.18917i 0.0682911 + 0.259806i 0.992529 0.122012i \(-0.0389345\pi\)
−0.924238 + 0.381818i \(0.875298\pi\)
\(72\) 0.0411442 1.44023i 0.00484889 0.169733i
\(73\) 5.66598 + 10.7382i 0.663153 + 1.25681i 0.953932 + 0.300024i \(0.0969946\pi\)
−0.290779 + 0.956790i \(0.593914\pi\)
\(74\) 0.405876 2.00308i 0.0471821 0.232853i
\(75\) 0.347627 1.32251i 0.0401406 0.152711i
\(76\) 8.99109 + 2.64002i 1.03135 + 0.302831i
\(77\) −1.58461 2.38726i −0.180583 0.272053i
\(78\) 2.12292 0.623347i 0.240374 0.0705801i
\(79\) 0.475008 + 16.6275i 0.0534426 + 1.87074i 0.379243 + 0.925297i \(0.376185\pi\)
−0.325800 + 0.945439i \(0.605634\pi\)
\(80\) −2.93259 + 1.65611i −0.327874 + 0.185159i
\(81\) 3.50505 2.54657i 0.389450 0.282952i
\(82\) 1.75963 0.743626i 0.194319 0.0821198i
\(83\) 15.4551 + 2.67460i 1.69641 + 0.293576i 0.934988 0.354678i \(-0.115410\pi\)
0.761424 + 0.648254i \(0.224501\pi\)
\(84\) 0.191346 2.22780i 0.0208775 0.243072i
\(85\) −0.0541215 0.630125i −0.00587030 0.0683466i
\(86\) 1.13888 0.197091i 0.122808 0.0212528i
\(87\) 5.62724 3.61641i 0.603304 0.387720i
\(88\) −3.65297 2.12973i −0.389408 0.227030i
\(89\) −0.710388 0.456539i −0.0753010 0.0483930i 0.502449 0.864607i \(-0.332433\pi\)
−0.577750 + 0.816214i \(0.696069\pi\)
\(90\) −0.340937 0.144081i −0.0359379 0.0151875i
\(91\) −4.15712 + 0.966697i −0.435785 + 0.101337i
\(92\) 4.83926 12.4295i 0.504527 1.29587i
\(93\) −6.64895 11.0260i −0.689464 1.14335i
\(94\) 0.340209 1.04706i 0.0350899 0.107996i
\(95\) 3.02324 3.92060i 0.310177 0.402245i
\(96\) −1.81227 4.65477i −0.184964 0.475075i
\(97\) −1.31576 1.92424i −0.133595 0.195377i 0.752874 0.658165i \(-0.228667\pi\)
−0.886469 + 0.462788i \(0.846849\pi\)
\(98\) −0.291484 + 2.02732i −0.0294443 + 0.204790i
\(99\) 0.482329 + 3.71701i 0.0484759 + 0.373574i
\(100\) 0.269364 + 1.87347i 0.0269364 + 0.187347i
\(101\) −2.48007 + 2.27619i −0.246776 + 0.226489i −0.790012 0.613091i \(-0.789926\pi\)
0.543236 + 0.839580i \(0.317199\pi\)
\(102\) 0.282783 + 0.0161701i 0.0279996 + 0.00160108i
\(103\) −0.914190 4.51171i −0.0900778 0.444552i −0.999583 0.0288600i \(-0.990812\pi\)
0.909506 0.415692i \(-0.136460\pi\)
\(104\) −4.87596 + 3.98706i −0.478128 + 0.390963i
\(105\) −1.06015 0.521240i −0.103460 0.0508679i
\(106\) 3.20403 1.14320i 0.311203 0.111037i
\(107\) −2.93473 3.80582i −0.283711 0.367922i 0.628383 0.777904i \(-0.283717\pi\)
−0.912094 + 0.409981i \(0.865535\pi\)
\(108\) −5.52005 + 9.15398i −0.531167 + 0.880842i
\(109\) −2.45583 2.83417i −0.235225 0.271465i 0.625848 0.779945i \(-0.284753\pi\)
−0.861074 + 0.508480i \(0.830207\pi\)
\(110\) −0.850289 + 0.675973i −0.0810718 + 0.0644515i
\(111\) −5.58803 + 6.44893i −0.530393 + 0.612106i
\(112\) 0.899119 + 2.76720i 0.0849588 + 0.261476i
\(113\) 5.65778 + 2.01869i 0.532240 + 0.189903i 0.588476 0.808515i \(-0.299728\pi\)
−0.0562362 + 0.998417i \(0.517910\pi\)
\(114\) 1.54530 + 1.59008i 0.144731 + 0.148925i
\(115\) −5.19192 4.76510i −0.484149 0.444348i
\(116\) −5.22603 + 7.64282i −0.485224 + 0.709618i
\(117\) 5.43803 + 1.26456i 0.502746 + 0.116909i
\(118\) −1.60492 1.16604i −0.147744 0.107343i
\(119\) −0.542822 0.0622830i −0.0497604 0.00570947i
\(120\) −1.74339 −0.159149
\(121\) 10.2547 + 3.98018i 0.932242 + 0.361835i
\(122\) −2.14233 −0.193958
\(123\) −7.92390 0.909182i −0.714474 0.0819782i
\(124\) 14.4181 + 10.4754i 1.29479 + 0.940717i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −0.180489 + 0.263957i −0.0160792 + 0.0235151i
\(127\) −9.21196 8.45466i −0.817429 0.750230i 0.153870 0.988091i \(-0.450826\pi\)
−0.971299 + 0.237861i \(0.923554\pi\)
\(128\) 6.35611 + 6.54028i 0.561806 + 0.578085i
\(129\) −4.54506 1.62167i −0.400170 0.142780i
\(130\) 0.499997 + 1.53883i 0.0438527 + 0.134965i
\(131\) −7.22967 + 8.34348i −0.631659 + 0.728973i −0.977877 0.209181i \(-0.932920\pi\)
0.346218 + 0.938154i \(0.387466\pi\)
\(132\) 4.33124 + 7.41124i 0.376986 + 0.645066i
\(133\) −2.80095 3.23246i −0.242873 0.280290i
\(134\) −2.41624 + 4.00689i −0.208732 + 0.346143i
\(135\) 3.44874 + 4.47241i 0.296820 + 0.384923i
\(136\) −0.759431 + 0.270964i −0.0651207 + 0.0232350i
\(137\) 9.59589 + 4.71798i 0.819832 + 0.403084i 0.802417 0.596764i \(-0.203547\pi\)
0.0174154 + 0.999848i \(0.494456\pi\)
\(138\) 2.44327 1.99786i 0.207985 0.170069i
\(139\) −1.48676 7.33745i −0.126105 0.622354i −0.992424 0.122862i \(-0.960793\pi\)
0.866318 0.499492i \(-0.166480\pi\)
\(140\) 1.63251 + 0.0933502i 0.137972 + 0.00788953i
\(141\) −3.38652 + 3.10812i −0.285196 + 0.261751i
\(142\) −0.105504 0.733795i −0.00885368 0.0615787i
\(143\) 10.8993 12.2343i 0.911447 1.02308i
\(144\) 0.541669 3.76739i 0.0451391 0.313949i
\(145\) 2.76110 + 4.03798i 0.229297 + 0.335336i
\(146\) −1.44270 3.70554i −0.119399 0.306673i
\(147\) 5.22193 6.77191i 0.430697 0.558538i
\(148\) 3.64985 11.2331i 0.300016 0.923353i
\(149\) 10.0164 + 16.6103i 0.820576 + 1.36077i 0.930296 + 0.366809i \(0.119550\pi\)
−0.109721 + 0.993962i \(0.534996\pi\)
\(150\) −0.162486 + 0.417342i −0.0132669 + 0.0340758i
\(151\) 20.9468 4.87098i 1.70463 0.396394i 0.742685 0.669641i \(-0.233552\pi\)
0.961944 + 0.273247i \(0.0880976\pi\)
\(152\) −5.81414 2.45708i −0.471589 0.199295i
\(153\) 0.601275 + 0.386416i 0.0486102 + 0.0312399i
\(154\) 0.426476 + 0.835927i 0.0343664 + 0.0673609i
\(155\) 7.92116 5.09062i 0.636243 0.408888i
\(156\) 12.5992 2.18037i 1.00874 0.174570i
\(157\) −0.960851 11.1870i −0.0766842 0.892818i −0.929070 0.369904i \(-0.879390\pi\)
0.852386 0.522914i \(-0.175155\pi\)
\(158\) 0.466211 5.42799i 0.0370897 0.431828i
\(159\) −13.9954 2.42200i −1.10991 0.192077i
\(160\) 3.36478 1.42197i 0.266009 0.112416i
\(161\) −4.92544 + 3.57854i −0.388179 + 0.282029i
\(162\) −1.23555 + 0.697747i −0.0970739 + 0.0548202i
\(163\) −0.478682 16.7560i −0.0374932 1.31243i −0.772778 0.634677i \(-0.781133\pi\)
0.735285 0.677758i \(-0.237048\pi\)
\(164\) 10.5926 3.11027i 0.827144 0.242871i
\(165\) 4.47907 0.711811i 0.348695 0.0554144i
\(166\) −4.92892 1.44726i −0.382559 0.112329i
\(167\) −3.85865 + 14.6798i −0.298591 + 1.13596i 0.633502 + 0.773741i \(0.281617\pi\)
−0.932093 + 0.362218i \(0.882019\pi\)
\(168\) −0.299107 + 1.47615i −0.0230766 + 0.113888i
\(169\) −5.32308 10.0884i −0.409468 0.776028i
\(170\) −0.00591497 + 0.207051i −0.000453658 + 0.0158801i
\(171\) 1.42237 + 5.41125i 0.108771 + 0.413808i
\(172\) 6.66859 0.381324i 0.508475 0.0290757i
\(173\) 5.99572 6.16945i 0.455846 0.469054i −0.449775 0.893142i \(-0.648496\pi\)
0.905621 + 0.424087i \(0.139405\pi\)
\(174\) −1.96601 + 0.966623i −0.149043 + 0.0732795i
\(175\) 0.358886 0.785851i 0.0271293 0.0594048i
\(176\) −8.94561 6.68932i −0.674300 0.504226i
\(177\) 3.44074 + 7.53417i 0.258622 + 0.566303i
\(178\) 0.214102 + 0.175071i 0.0160476 + 0.0131221i
\(179\) −2.34943 + 4.45266i −0.175604 + 0.332808i −0.956440 0.291929i \(-0.905703\pi\)
0.780835 + 0.624737i \(0.214794\pi\)
\(180\) −1.86254 1.05182i −0.138825 0.0783982i
\(181\) −10.8406 + 1.24384i −0.805773 + 0.0924538i −0.507084 0.861897i \(-0.669277\pi\)
−0.298689 + 0.954350i \(0.596549\pi\)
\(182\) 1.38874 0.159343i 0.102940 0.0118113i
\(183\) 7.78851 + 4.39837i 0.575743 + 0.325137i
\(184\) −4.19282 + 7.94629i −0.309099 + 0.585808i
\(185\) −4.83085 3.95016i −0.355171 0.290422i
\(186\) 1.75179 + 3.83589i 0.128448 + 0.281261i
\(187\) 1.84048 1.00622i 0.134589 0.0735824i
\(188\) 2.64304 5.78745i 0.192763 0.422093i
\(189\) 4.37854 2.15278i 0.318492 0.156592i
\(190\) −1.13007 + 1.16282i −0.0819842 + 0.0843597i
\(191\) 17.3075 0.989677i 1.25232 0.0716105i 0.581698 0.813405i \(-0.302389\pi\)
0.670627 + 0.741795i \(0.266025\pi\)
\(192\) −1.92566 7.32596i −0.138972 0.528706i
\(193\) −0.367297 + 12.8571i −0.0264386 + 0.925472i 0.872817 + 0.488048i \(0.162291\pi\)
−0.899255 + 0.437424i \(0.855891\pi\)
\(194\) 0.356284 + 0.675233i 0.0255797 + 0.0484789i
\(195\) 1.34159 6.62100i 0.0960731 0.474139i
\(196\) −3.00905 + 11.4476i −0.214932 + 0.817686i
\(197\) −2.77095 0.813624i −0.197422 0.0579683i 0.181527 0.983386i \(-0.441896\pi\)
−0.378949 + 0.925418i \(0.623714\pi\)
\(198\) −0.0181698 1.22745i −0.00129127 0.0872312i
\(199\) −8.47819 + 2.48942i −0.601003 + 0.176470i −0.568060 0.822987i \(-0.692306\pi\)
−0.0329425 + 0.999457i \(0.510488\pi\)
\(200\) −0.0364070 1.27441i −0.00257436 0.0901145i
\(201\) 17.0108 9.60641i 1.19985 0.677584i
\(202\) 0.891945 0.648036i 0.0627571 0.0455957i
\(203\) 3.89273 1.64508i 0.273216 0.115462i
\(204\) 1.61291 + 0.279126i 0.112927 + 0.0195427i
\(205\) 0.499136 5.81133i 0.0348612 0.405881i
\(206\) 0.129020 + 1.50215i 0.00898925 + 0.104660i
\(207\) 7.84745 1.35806i 0.545436 0.0943914i
\(208\) −13.9972 + 8.99544i −0.970530 + 0.623722i
\(209\) 15.9408 + 3.93879i 1.10265 + 0.272452i
\(210\) 0.325492 + 0.209181i 0.0224611 + 0.0144349i
\(211\) −22.2466 9.40151i −1.53152 0.647227i −0.549415 0.835550i \(-0.685149\pi\)
−0.982107 + 0.188323i \(0.939695\pi\)
\(212\) 19.1487 4.45284i 1.31514 0.305823i
\(213\) −1.12297 + 2.88434i −0.0769449 + 0.197631i
\(214\) 0.812817 + 1.34791i 0.0555630 + 0.0921409i
\(215\) 1.09053 3.35629i 0.0743732 0.228897i
\(216\) 4.39690 5.70201i 0.299171 0.387972i
\(217\) −2.95130 7.58035i −0.200347 0.514587i
\(218\) 0.693267 + 1.01387i 0.0469540 + 0.0686680i
\(219\) −2.36279 + 16.4336i −0.159662 + 1.11048i
\(220\) −5.32715 + 3.32089i −0.359156 + 0.223894i
\(221\) −0.444658 3.09266i −0.0299109 0.208035i
\(222\) 2.05900 1.88974i 0.138191 0.126831i
\(223\) −26.4405 1.51192i −1.77059 0.101246i −0.858905 0.512136i \(-0.828855\pi\)
−0.911685 + 0.410890i \(0.865218\pi\)
\(224\) −0.626717 3.09297i −0.0418743 0.206658i
\(225\) −0.874871 + 0.715379i −0.0583248 + 0.0476919i
\(226\) −1.76557 0.868071i −0.117444 0.0577433i
\(227\) −11.1569 + 3.98077i −0.740509 + 0.264213i −0.679248 0.733909i \(-0.737694\pi\)
−0.0612607 + 0.998122i \(0.519512\pi\)
\(228\) 7.82472 + 10.1473i 0.518204 + 0.672019i
\(229\) 7.24650 12.0170i 0.478862 0.794104i −0.519307 0.854588i \(-0.673810\pi\)
0.998169 + 0.0604839i \(0.0192644\pi\)
\(230\) 1.51145 + 1.74431i 0.0996620 + 0.115016i
\(231\) 0.165758 3.91462i 0.0109061 0.257563i
\(232\) 4.08411 4.71331i 0.268135 0.309444i
\(233\) 3.28748 + 10.1178i 0.215370 + 0.662840i 0.999127 + 0.0417727i \(0.0133005\pi\)
−0.783757 + 0.621067i \(0.786699\pi\)
\(234\) −1.72222 0.614486i −0.112585 0.0401702i
\(235\) −2.34275 2.41063i −0.152824 0.157252i
\(236\) −8.44631 7.75195i −0.549808 0.504609i
\(237\) −12.8390 + 18.7764i −0.833981 + 1.21966i
\(238\) 0.174298 + 0.0405314i 0.0112981 + 0.00262726i
\(239\) 21.8342 + 15.8635i 1.41234 + 1.02612i 0.992977 + 0.118304i \(0.0377456\pi\)
0.419360 + 0.907820i \(0.362254\pi\)
\(240\) −4.57538 0.524976i −0.295340 0.0338871i
\(241\) −8.61495 −0.554938 −0.277469 0.960735i \(-0.589496\pi\)
−0.277469 + 0.960735i \(0.589496\pi\)
\(242\) −3.18807 1.67792i −0.204937 0.107861i
\(243\) −11.0186 −0.706845
\(244\) −12.3000 1.41129i −0.787426 0.0903488i
\(245\) 5.05930 + 3.67580i 0.323227 + 0.234838i
\(246\) 2.54434 + 0.591661i 0.162221 + 0.0377229i
\(247\) 13.8056 20.1900i 0.878428 1.28466i
\(248\) −8.84430 8.11722i −0.561613 0.515444i
\(249\) 14.9479 + 15.3810i 0.947283 + 0.974731i
\(250\) −0.308469 0.110061i −0.0195093 0.00696089i
\(251\) −7.34448 22.6040i −0.463579 1.42675i −0.860760 0.509010i \(-0.830011\pi\)
0.397181 0.917740i \(-0.369989\pi\)
\(252\) −1.21014 + 1.39658i −0.0762319 + 0.0879763i
\(253\) 7.52770 22.1273i 0.473262 1.39113i
\(254\) 2.68175 + 3.09490i 0.168268 + 0.194191i
\(255\) 0.446595 0.740594i 0.0279669 0.0463778i
\(256\) 4.94130 + 6.40800i 0.308832 + 0.400500i
\(257\) 4.76604 1.70052i 0.297297 0.106075i −0.183189 0.983078i \(-0.558642\pi\)
0.480486 + 0.877002i \(0.340460\pi\)
\(258\) 1.41833 + 0.697346i 0.0883014 + 0.0434149i
\(259\) −4.17348 + 3.41263i −0.259327 + 0.212051i
\(260\) 1.85696 + 9.16443i 0.115163 + 0.568354i
\(261\) −5.51921 0.315600i −0.341630 0.0195351i
\(262\) 2.66389 2.44490i 0.164576 0.151046i
\(263\) 0.296536 + 2.06245i 0.0182852 + 0.127176i 0.996919 0.0784328i \(-0.0249916\pi\)
−0.978634 + 0.205609i \(0.934083\pi\)
\(264\) −2.32941 5.29219i −0.143365 0.325711i
\(265\) 1.47821 10.2812i 0.0908057 0.631568i
\(266\) 0.790693 + 1.15635i 0.0484805 + 0.0709005i
\(267\) −0.418941 1.07604i −0.0256388 0.0658526i
\(268\) −16.5122 + 21.4134i −1.00864 + 1.30803i
\(269\) −5.97979 + 18.4039i −0.364594 + 1.12211i 0.585641 + 0.810571i \(0.300843\pi\)
−0.950235 + 0.311535i \(0.899157\pi\)
\(270\) −0.955181 1.58399i −0.0581305 0.0963985i
\(271\) −7.08714 + 18.2032i −0.430513 + 1.10576i 0.534872 + 0.844933i \(0.320360\pi\)
−0.965385 + 0.260830i \(0.916004\pi\)
\(272\) −2.07466 + 0.482442i −0.125795 + 0.0292523i
\(273\) −5.37593 2.27189i −0.325366 0.137501i
\(274\) −2.94618 1.89339i −0.177985 0.114384i
\(275\) 0.613867 + 3.25932i 0.0370176 + 0.196544i
\(276\) 15.3439 9.86094i 0.923595 0.593559i
\(277\) −10.0774 + 1.74395i −0.605489 + 0.104784i −0.465019 0.885301i \(-0.653952\pi\)
−0.140471 + 0.990085i \(0.544862\pi\)
\(278\) 0.209827 + 2.44297i 0.0125846 + 0.146520i
\(279\) −0.910610 + 10.6020i −0.0545168 + 0.634728i
\(280\) −1.08531 0.187820i −0.0648596 0.0112244i
\(281\) −26.3362 + 11.1298i −1.57108 + 0.663945i −0.988828 0.149060i \(-0.952375\pi\)
−0.582255 + 0.813006i \(0.697830\pi\)
\(282\) 1.21795 0.884890i 0.0725277 0.0526944i
\(283\) −6.99736 + 3.95159i −0.415950 + 0.234898i −0.685476 0.728096i \(-0.740406\pi\)
0.269526 + 0.962993i \(0.413133\pi\)
\(284\) −0.122341 4.28251i −0.00725963 0.254120i
\(285\) 6.49576 1.90733i 0.384776 0.112980i
\(286\) −4.00318 + 3.57388i −0.236713 + 0.211328i
\(287\) −4.83491 1.41966i −0.285396 0.0837997i
\(288\) −1.04947 + 3.99259i −0.0618404 + 0.235265i
\(289\) −3.29660 + 16.2694i −0.193918 + 0.957023i
\(290\) −0.747655 1.41696i −0.0439038 0.0832070i
\(291\) 0.0910252 3.18630i 0.00533599 0.186784i
\(292\) −5.84203 22.2254i −0.341879 1.30064i
\(293\) 4.38245 0.250597i 0.256025 0.0146401i 0.0713951 0.997448i \(-0.477255\pi\)
0.184630 + 0.982808i \(0.440891\pi\)
\(294\) −1.95194 + 2.00850i −0.113839 + 0.117138i
\(295\) −5.43560 + 2.67251i −0.316473 + 0.155599i
\(296\) −3.30500 + 7.23694i −0.192099 + 0.420639i
\(297\) −8.96833 + 16.4447i −0.520396 + 0.954217i
\(298\) −2.63901 5.77863i −0.152874 0.334747i
\(299\) −26.9517 22.0383i −1.55866 1.27451i
\(300\) −1.20782 + 2.28908i −0.0697338 + 0.132160i
\(301\) −2.65473 1.49919i −0.153016 0.0864120i
\(302\) −6.99755 + 0.802894i −0.402664 + 0.0462013i
\(303\) −4.57315 + 0.524720i −0.262721 + 0.0301444i
\(304\) −14.5189 8.19918i −0.832714 0.470255i
\(305\) −3.05255 + 5.78523i −0.174789 + 0.331261i
\(306\) −0.181217 0.148180i −0.0103595 0.00847090i
\(307\) 7.43270 + 16.2753i 0.424207 + 0.928883i 0.994231 + 0.107256i \(0.0342063\pi\)
−0.570025 + 0.821627i \(0.693066\pi\)
\(308\) 1.89789 + 5.08033i 0.108142 + 0.289479i
\(309\) 2.61497 5.72599i 0.148761 0.325740i
\(310\) −2.76744 + 1.36066i −0.157180 + 0.0772804i
\(311\) −6.09757 + 6.27425i −0.345761 + 0.355780i −0.867599 0.497265i \(-0.834338\pi\)
0.521837 + 0.853045i \(0.325247\pi\)
\(312\) −8.59881 + 0.491698i −0.486812 + 0.0278369i
\(313\) −4.29359 16.3345i −0.242688 0.923281i −0.971204 0.238251i \(-0.923426\pi\)
0.728516 0.685029i \(-0.240211\pi\)
\(314\) −0.105012 + 3.67590i −0.00592617 + 0.207443i
\(315\) 0.455623 + 0.863502i 0.0256715 + 0.0486528i
\(316\) 6.25246 30.8571i 0.351728 1.73585i
\(317\) −5.59663 + 21.2918i −0.314338 + 1.19587i 0.602995 + 0.797745i \(0.293974\pi\)
−0.917333 + 0.398121i \(0.869662\pi\)
\(318\) 4.46341 + 1.31058i 0.250296 + 0.0734934i
\(319\) −8.56838 + 13.7768i −0.479737 + 0.771355i
\(320\) 5.31505 1.56064i 0.297120 0.0872423i
\(321\) −0.187664 6.56911i −0.0104744 0.366652i
\(322\) 1.73624 0.980502i 0.0967571 0.0546413i
\(323\) 2.53315 1.84044i 0.140948 0.102405i
\(324\) −7.55343 + 3.19210i −0.419635 + 0.177339i
\(325\) 4.86795 + 0.842431i 0.270025 + 0.0467297i
\(326\) −0.469816 + 5.46997i −0.0260207 + 0.302953i
\(327\) −0.438836 5.10928i −0.0242677 0.282544i
\(328\) −7.32741 + 1.26806i −0.404589 + 0.0700168i
\(329\) −2.44306 + 1.57006i −0.134690 + 0.0865600i
\(330\) −1.48398 + 0.0643882i −0.0816902 + 0.00354445i
\(331\) −8.27603 5.31868i −0.454892 0.292341i 0.293060 0.956094i \(-0.405326\pi\)
−0.747952 + 0.663753i \(0.768963\pi\)
\(332\) −27.3455 11.5563i −1.50078 0.634234i
\(333\) 6.86896 1.59731i 0.376417 0.0875319i
\(334\) 1.80359 4.63248i 0.0986879 0.253478i
\(335\) 7.37750 + 12.2342i 0.403076 + 0.668426i
\(336\) −1.22949 + 3.78398i −0.0670741 + 0.206433i
\(337\) 3.37027 4.37064i 0.183590 0.238084i −0.691109 0.722751i \(-0.742877\pi\)
0.874699 + 0.484667i \(0.161059\pi\)
\(338\) 1.35539 + 3.48129i 0.0737235 + 0.189357i
\(339\) 4.63655 + 6.78073i 0.251823 + 0.368279i
\(340\) −0.170358 + 1.18486i −0.00923895 + 0.0642583i
\(341\) 26.0367 + 17.2435i 1.40997 + 0.933788i
\(342\) −0.260788 1.81382i −0.0141018 0.0980800i
\(343\) 8.43577 7.74228i 0.455489 0.418044i
\(344\) −4.49191 0.256857i −0.242188 0.0138488i
\(345\) −1.91372 9.44458i −0.103031 0.508479i
\(346\) −2.18122 + 1.78358i −0.117263 + 0.0958856i
\(347\) 6.81372 + 3.35008i 0.365780 + 0.179842i 0.614851 0.788643i \(-0.289216\pi\)
−0.249071 + 0.968485i \(0.580125\pi\)
\(348\) −11.9244 + 4.25463i −0.639216 + 0.228072i
\(349\) 5.81006 + 7.53461i 0.311005 + 0.403319i 0.921298 0.388857i \(-0.127130\pi\)
−0.610293 + 0.792176i \(0.708948\pi\)
\(350\) −0.146114 + 0.242302i −0.00781010 + 0.0129516i
\(351\) 18.2714 + 21.0863i 0.975256 + 1.12550i
\(352\) 8.81230 + 8.31409i 0.469697 + 0.443143i
\(353\) 9.19299 10.6093i 0.489294 0.564675i −0.456383 0.889783i \(-0.650855\pi\)
0.945677 + 0.325108i \(0.105401\pi\)
\(354\) −0.838270 2.57993i −0.0445536 0.137122i
\(355\) −2.13189 0.760658i −0.113149 0.0403715i
\(356\) 1.11392 + 1.14619i 0.0590374 + 0.0607480i
\(357\) −0.550452 0.505200i −0.0291330 0.0267380i
\(358\) 0.930694 1.36110i 0.0491887 0.0719362i
\(359\) −27.2015 6.32544i −1.43564 0.333844i −0.564727 0.825278i \(-0.691018\pi\)
−0.870915 + 0.491434i \(0.836473\pi\)
\(360\) 1.16565 + 0.846894i 0.0614351 + 0.0446352i
\(361\) 5.47515 + 0.628214i 0.288166 + 0.0330639i
\(362\) 3.57375 0.187832
\(363\) 8.14541 + 12.6455i 0.427523 + 0.663715i
\(364\) 8.07826 0.423416
\(365\) −12.0622 1.38401i −0.631366 0.0724425i
\(366\) −2.37002 1.72192i −0.123883 0.0900062i
\(367\) −31.5117 7.32773i −1.64490 0.382505i −0.701109 0.713054i \(-0.747311\pi\)
−0.943789 + 0.330550i \(0.892766\pi\)
\(368\) −13.3966 + 19.5918i −0.698344 + 1.02130i
\(369\) 4.85636 + 4.45712i 0.252812 + 0.232029i
\(370\) 1.42439 + 1.46566i 0.0740505 + 0.0761961i
\(371\) −8.45162 3.01553i −0.438786 0.156559i
\(372\) 7.53079 + 23.1774i 0.390453 + 1.20169i
\(373\) 5.63830 6.50694i 0.291940 0.336917i −0.590765 0.806843i \(-0.701174\pi\)
0.882706 + 0.469927i \(0.155720\pi\)
\(374\) −0.636423 + 0.258694i −0.0329086 + 0.0133767i
\(375\) 0.895480 + 1.03344i 0.0462424 + 0.0533666i
\(376\) −2.21311 + 3.67003i −0.114132 + 0.189267i
\(377\) 14.7573 + 19.1376i 0.760038 + 0.985635i
\(378\) −1.50507 + 0.537006i −0.0774122 + 0.0276206i
\(379\) −26.3142 12.9378i −1.35167 0.664571i −0.385555 0.922685i \(-0.625990\pi\)
−0.966115 + 0.258114i \(0.916899\pi\)
\(380\) −7.25422 + 5.93175i −0.372134 + 0.304292i
\(381\) −3.39549 16.7574i −0.173956 0.858508i
\(382\) −5.66847 0.324135i −0.290024 0.0165842i
\(383\) −17.8351 + 16.3689i −0.911331 + 0.836412i −0.987000 0.160721i \(-0.948618\pi\)
0.0756686 + 0.997133i \(0.475891\pi\)
\(384\) 1.77482 + 12.3442i 0.0905710 + 0.629935i
\(385\) 2.86504 + 0.0394200i 0.146016 + 0.00200903i
\(386\) 0.599517 4.16973i 0.0305146 0.212234i
\(387\) 2.25111 + 3.29215i 0.114431 + 0.167349i
\(388\) 1.60075 + 4.11148i 0.0812656 + 0.208729i
\(389\) 22.9883 29.8118i 1.16555 1.51152i 0.346263 0.938137i \(-0.387450\pi\)
0.819290 0.573379i \(-0.194368\pi\)
\(390\) −0.683715 + 2.10426i −0.0346212 + 0.106553i
\(391\) −2.30154 3.81668i −0.116394 0.193018i
\(392\) 2.89265 7.42971i 0.146101 0.375257i
\(393\) −14.7042 + 3.41931i −0.741728 + 0.172481i
\(394\) 0.871237 + 0.368188i 0.0438923 + 0.0185490i
\(395\) −13.9936 8.99315i −0.704095 0.452495i
\(396\) 0.704281 7.05926i 0.0353914 0.354741i
\(397\) −2.77538 + 1.78363i −0.139292 + 0.0895178i −0.608431 0.793607i \(-0.708201\pi\)
0.469139 + 0.883125i \(0.344564\pi\)
\(398\) 2.85158 0.493485i 0.142937 0.0247362i
\(399\) −0.500507 5.82729i −0.0250567 0.291730i
\(400\) 0.288209 3.35555i 0.0144104 0.167778i
\(401\) 2.76580 + 0.478641i 0.138118 + 0.0239022i 0.239162 0.970980i \(-0.423127\pi\)
−0.101044 + 0.994882i \(0.532218\pi\)
\(402\) −5.89362 + 2.49066i −0.293947 + 0.124223i
\(403\) 37.6334 27.3422i 1.87465 1.36201i
\(404\) 5.54791 3.13305i 0.276019 0.155875i
\(405\) 0.123719 + 4.33071i 0.00614762 + 0.215195i
\(406\) −1.32804 + 0.389947i −0.0659094 + 0.0193527i
\(407\) 5.53634 19.9424i 0.274426 0.988507i
\(408\) −1.05793 0.310637i −0.0523755 0.0153788i
\(409\) 4.85604 18.4743i 0.240116 0.913495i −0.732441 0.680830i \(-0.761619\pi\)
0.972557 0.232665i \(-0.0747445\pi\)
\(410\) −0.379369 + 1.87226i −0.0187357 + 0.0924644i
\(411\) 6.82361 + 12.9322i 0.336584 + 0.637898i
\(412\) −0.248809 + 8.70944i −0.0122579 + 0.429083i
\(413\) 1.33028 + 5.06092i 0.0654590 + 0.249032i
\(414\) −2.60411 + 0.148908i −0.127985 + 0.00731845i
\(415\) −10.9313 + 11.2481i −0.536597 + 0.552145i
\(416\) 16.1949 7.96247i 0.794018 0.390392i
\(417\) 4.25277 9.31226i 0.208259 0.456023i
\(418\) −5.03976 1.87674i −0.246503 0.0917943i
\(419\) −10.9678 24.0161i −0.535812 1.17326i −0.963099 0.269149i \(-0.913258\pi\)
0.427286 0.904116i \(-0.359470\pi\)
\(420\) 1.73098 + 1.41541i 0.0844631 + 0.0690651i
\(421\) 12.0068 22.7554i 0.585176 1.10903i −0.396421 0.918069i \(-0.629748\pi\)
0.981597 0.190963i \(-0.0611611\pi\)
\(422\) 6.88763 + 3.88963i 0.335285 + 0.189344i
\(423\) 3.77412 0.433040i 0.183504 0.0210551i
\(424\) −13.1563 + 1.50954i −0.638924 + 0.0733097i
\(425\) 0.550699 + 0.310994i 0.0267128 + 0.0150854i
\(426\) 0.473078 0.896582i 0.0229207 0.0434395i
\(427\) 4.37472 + 3.57719i 0.211708 + 0.173113i
\(428\) 3.77875 + 8.27431i 0.182653 + 0.399954i
\(429\) 21.8911 4.77408i 1.05691 0.230495i
\(430\) −0.480139 + 1.05136i −0.0231544 + 0.0507010i
\(431\) −3.22504 + 1.58564i −0.155345 + 0.0763778i −0.517238 0.855842i \(-0.673040\pi\)
0.361893 + 0.932220i \(0.382131\pi\)
\(432\) 13.2563 13.6405i 0.637796 0.656276i
\(433\) 21.2497 1.21510i 1.02119 0.0583940i 0.461540 0.887120i \(-0.347297\pi\)
0.559655 + 0.828726i \(0.310934\pi\)
\(434\) 0.677291 + 2.57668i 0.0325110 + 0.123685i
\(435\) −0.191015 + 6.68639i −0.00915846 + 0.320588i
\(436\) 3.31242 + 6.27773i 0.158636 + 0.300649i
\(437\) 6.92871 34.1945i 0.331445 1.63575i
\(438\) 1.38234 5.25895i 0.0660505 0.251282i
\(439\) 2.35968 + 0.692865i 0.112621 + 0.0330686i 0.337558 0.941305i \(-0.390399\pi\)
−0.224936 + 0.974373i \(0.572217\pi\)
\(440\) 3.81993 1.81331i 0.182108 0.0864460i
\(441\) −6.78107 + 1.99110i −0.322908 + 0.0948144i
\(442\) 0.0292217 + 1.02289i 0.00138994 + 0.0486541i
\(443\) −20.9787 + 11.8472i −0.996726 + 0.562877i −0.901592 0.432587i \(-0.857601\pi\)
−0.0951343 + 0.995464i \(0.530328\pi\)
\(444\) 13.0664 9.49332i 0.620106 0.450533i
\(445\) 0.777834 0.328715i 0.0368729 0.0155826i
\(446\) 8.54680 + 1.47908i 0.404703 + 0.0700365i
\(447\) −2.26977 + 26.4264i −0.107356 + 1.24993i
\(448\) −0.409531 4.76808i −0.0193485 0.225271i
\(449\) 3.06579 0.530556i 0.144683 0.0250385i −0.0977203 0.995214i \(-0.531155\pi\)
0.242404 + 0.970175i \(0.422064\pi\)
\(450\) 0.311374 0.200108i 0.0146783 0.00943318i
\(451\) 18.3077 6.24959i 0.862074 0.294282i
\(452\) −9.56497 6.14703i −0.449898 0.289132i
\(453\) 27.0881 + 11.4475i 1.27271 + 0.537852i
\(454\) 3.77885 0.878735i 0.177350 0.0412411i
\(455\) 1.54848 3.97723i 0.0725937 0.186455i
\(456\) −4.45717 7.39138i −0.208726 0.346133i
\(457\) −10.5151 + 32.3623i −0.491877 + 1.51384i 0.329890 + 0.944019i \(0.392988\pi\)
−0.821767 + 0.569823i \(0.807012\pi\)
\(458\) −2.80651 + 3.63955i −0.131140 + 0.170065i
\(459\) 1.29589 + 3.32847i 0.0604870 + 0.155360i
\(460\) 7.52874 + 11.0104i 0.351029 + 0.513364i
\(461\) 0.927547 6.45123i 0.0432002 0.300464i −0.956754 0.290898i \(-0.906046\pi\)
0.999954 0.00956583i \(-0.00304495\pi\)
\(462\) −0.200083 + 1.26755i −0.00930868 + 0.0589719i
\(463\) 0.736349 + 5.12142i 0.0342210 + 0.238012i 0.999752 0.0222763i \(-0.00709135\pi\)
−0.965531 + 0.260289i \(0.916182\pi\)
\(464\) 12.1377 11.1399i 0.563479 0.517157i
\(465\) 12.8546 + 0.735055i 0.596120 + 0.0340874i
\(466\) −0.691943 3.41487i −0.0320537 0.158191i
\(467\) −31.4787 + 25.7400i −1.45666 + 1.19110i −0.513800 + 0.857910i \(0.671763\pi\)
−0.942858 + 0.333194i \(0.891874\pi\)
\(468\) −9.48314 4.66254i −0.438358 0.215526i
\(469\) 11.6246 4.14766i 0.536775 0.191521i
\(470\) 0.672287 + 0.871837i 0.0310103 + 0.0402148i
\(471\) 7.92867 13.1482i 0.365334 0.605838i
\(472\) 5.05706 + 5.83616i 0.232770 + 0.268631i
\(473\) 11.6454 1.17410i 0.535455 0.0539852i
\(474\) 4.87855 5.63015i 0.224079 0.258601i
\(475\) 1.52990 + 4.70855i 0.0701967 + 0.216043i
\(476\) 0.974015 + 0.347528i 0.0446439 + 0.0159289i
\(477\) 8.18095 + 8.41799i 0.374580 + 0.385433i
\(478\) −6.51219 5.97683i −0.297860 0.273374i
\(479\) 18.1016 26.4728i 0.827084 1.20957i −0.148275 0.988946i \(-0.547372\pi\)
0.975359 0.220625i \(-0.0708097\pi\)
\(480\) 4.86530 + 1.13138i 0.222070 + 0.0516401i
\(481\) −24.9410 18.1207i −1.13721 0.826233i
\(482\) 2.80314 + 0.321630i 0.127680 + 0.0146499i
\(483\) −8.32520 −0.378810
\(484\) −17.1986 11.7338i −0.781756 0.533355i
\(485\) 2.33108 0.105849
\(486\) 3.58525 + 0.411369i 0.162630 + 0.0186601i
\(487\) 2.58348 + 1.87700i 0.117068 + 0.0850552i 0.644779 0.764369i \(-0.276949\pi\)
−0.527711 + 0.849424i \(0.676949\pi\)
\(488\) 8.12281 + 1.88888i 0.367702 + 0.0855055i
\(489\) 12.9383 18.9216i 0.585089 0.855665i
\(490\) −1.50897 1.38492i −0.0681682 0.0625642i
\(491\) −1.64389 1.69153i −0.0741879 0.0763375i 0.679021 0.734118i \(-0.262404\pi\)
−0.753209 + 0.657781i \(0.771495\pi\)
\(492\) 14.2183 + 5.07308i 0.641010 + 0.228712i
\(493\) 0.956019 + 2.94232i 0.0430569 + 0.132516i
\(494\) −5.24585 + 6.05403i −0.236022 + 0.272384i
\(495\) −3.34054 1.69989i −0.150146 0.0764045i
\(496\) −20.7669 23.9662i −0.932460 1.07612i
\(497\) −1.00982 + 1.67460i −0.0452967 + 0.0751162i
\(498\) −4.28951 5.56274i −0.192218 0.249272i
\(499\) 33.2314 11.8569i 1.48764 0.530789i 0.537677 0.843151i \(-0.319302\pi\)
0.949963 + 0.312362i \(0.101120\pi\)
\(500\) −1.69854 0.835114i −0.0759608 0.0373474i
\(501\) −16.0678 + 13.1386i −0.717856 + 0.586988i
\(502\) 1.54586 + 7.62910i 0.0689949 + 0.340503i
\(503\) 30.2551 + 1.73005i 1.34901 + 0.0771390i 0.716593 0.697491i \(-0.245700\pi\)
0.632414 + 0.774630i \(0.282064\pi\)
\(504\) 0.917065 0.841674i 0.0408493 0.0374912i
\(505\) −0.479070 3.33200i −0.0213183 0.148272i
\(506\) −3.27547 + 6.91876i −0.145612 + 0.307576i
\(507\) 2.21980 15.4390i 0.0985846 0.685671i
\(508\) 13.3582 + 19.5357i 0.592673 + 0.866756i
\(509\) 1.28247 + 3.29399i 0.0568443 + 0.146003i 0.957422 0.288691i \(-0.0932200\pi\)
−0.900578 + 0.434694i \(0.856856\pi\)
\(510\) −0.172963 + 0.224302i −0.00765892 + 0.00993226i
\(511\) −3.24134 + 9.97582i −0.143388 + 0.441304i
\(512\) −10.7877 17.8894i −0.476754 0.790608i
\(513\) −10.1444 + 26.0557i −0.447887 + 1.15039i
\(514\) −1.61426 + 0.375381i −0.0712021 + 0.0165573i
\(515\) 4.24029 + 1.79196i 0.186850 + 0.0789633i
\(516\) 7.68381 + 4.93809i 0.338261 + 0.217387i
\(517\) 4.18742 10.3325i 0.184162 0.454424i
\(518\) 1.48538 0.954593i 0.0652637 0.0419424i
\(519\) 11.5917 2.00602i 0.508818 0.0880545i
\(520\) −0.538998 6.27544i −0.0236366 0.275196i
\(521\) −1.99191 + 23.1914i −0.0872670 + 1.01603i 0.813453 + 0.581631i \(0.197585\pi\)
−0.900720 + 0.434401i \(0.856960\pi\)
\(522\) 1.78406 + 0.308744i 0.0780862 + 0.0135134i
\(523\) −27.9411 + 11.8080i −1.22178 + 0.516328i −0.902235 0.431244i \(-0.858075\pi\)
−0.319542 + 0.947572i \(0.603529\pi\)
\(524\) 16.9051 12.2822i 0.738501 0.536552i
\(525\) 1.02866 0.580913i 0.0448946 0.0253531i
\(526\) −0.0194875 0.682152i −0.000849696 0.0297433i
\(527\) 5.71381 1.67773i 0.248898 0.0730829i
\(528\) −4.51974 14.5904i −0.196696 0.634964i
\(529\) −25.5821 7.51159i −1.11227 0.326591i
\(530\) −0.864818 + 3.29011i −0.0375653 + 0.142913i
\(531\) 1.35939 6.70886i 0.0589926 0.291140i
\(532\) 3.77792 + 7.15995i 0.163794 + 0.310423i
\(533\) 0.822855 28.8037i 0.0356418 1.24763i
\(534\) 0.0961424 + 0.365763i 0.00416049 + 0.0158281i
\(535\) 4.79808 0.274364i 0.207439 0.0118618i
\(536\) 12.6942 13.0620i 0.548306 0.564193i
\(537\) −6.17799 + 3.03751i −0.266600 + 0.131078i
\(538\) 2.63280 5.76502i 0.113508 0.248548i
\(539\) −4.39823 + 20.2693i −0.189445 + 0.873059i
\(540\) −4.44060 9.72355i −0.191093 0.418435i
\(541\) 19.3519 + 15.8240i 0.832003 + 0.680325i 0.949850 0.312707i \(-0.101236\pi\)
−0.117847 + 0.993032i \(0.537599\pi\)
\(542\) 2.98561 5.65837i 0.128243 0.243048i
\(543\) −12.9924 7.33717i −0.557559 0.314868i
\(544\) 2.29520 0.263350i 0.0984059 0.0112910i
\(545\) 3.72570 0.427485i 0.159592 0.0183114i
\(546\) 1.66440 + 0.939932i 0.0712299 + 0.0402254i
\(547\) 8.33702 15.8004i 0.356465 0.675577i −0.639154 0.769079i \(-0.720715\pi\)
0.995619 + 0.0935021i \(0.0298062\pi\)
\(548\) −15.6679 12.8116i −0.669298 0.547282i
\(549\) −3.07087 6.72427i −0.131062 0.286985i
\(550\) −0.0780573 1.08344i −0.00332837 0.0461979i
\(551\) −10.0606 + 22.0297i −0.428597 + 0.938497i
\(552\) −11.0253 + 5.42079i −0.469269 + 0.230724i
\(553\) −10.0155 + 10.3057i −0.425902 + 0.438242i
\(554\) 3.34408 0.191222i 0.142077 0.00812423i
\(555\) −2.16929 8.25282i −0.0920811 0.350313i
\(556\) −0.404641 + 14.1643i −0.0171606 + 0.600700i
\(557\) 6.17774 + 11.7081i 0.261759 + 0.496089i 0.979818 0.199894i \(-0.0640597\pi\)
−0.718058 + 0.695983i \(0.754969\pi\)
\(558\) 0.692111 3.41570i 0.0292994 0.144598i
\(559\) 4.43214 16.8616i 0.187460 0.713170i
\(560\) −2.79175 0.819732i −0.117973 0.0346400i
\(561\) 2.84484 + 0.366136i 0.120109 + 0.0154583i
\(562\) 8.98480 2.63817i 0.379001 0.111285i
\(563\) −0.119568 4.18544i −0.00503921 0.176395i −0.998213 0.0597529i \(-0.980969\pi\)
0.993174 0.116642i \(-0.0372131\pi\)
\(564\) 7.57565 4.27817i 0.318992 0.180143i
\(565\) −4.85987 + 3.53090i −0.204456 + 0.148546i
\(566\) 2.42433 1.02453i 0.101902 0.0430643i
\(567\) 3.68811 + 0.638252i 0.154886 + 0.0268041i
\(568\) −0.246956 + 2.87526i −0.0103620 + 0.120643i
\(569\) 0.435818 + 5.07413i 0.0182704 + 0.212719i 0.999774 + 0.0212734i \(0.00677203\pi\)
−0.981503 + 0.191445i \(0.938683\pi\)
\(570\) −2.18480 + 0.378095i −0.0915113 + 0.0158367i
\(571\) 14.6087 9.38847i 0.611357 0.392895i −0.198009 0.980200i \(-0.563447\pi\)
0.809366 + 0.587305i \(0.199811\pi\)
\(572\) −25.3382 + 17.8819i −1.05944 + 0.747680i
\(573\) 19.9424 + 12.8162i 0.833104 + 0.535403i
\(574\) 1.52018 + 0.642435i 0.0634513 + 0.0268147i
\(575\) 6.86400 1.59615i 0.286248 0.0665642i
\(576\) −2.27125 + 5.83367i −0.0946355 + 0.243069i
\(577\) 20.1550 + 33.4233i 0.839063 + 1.39143i 0.918845 + 0.394618i \(0.129123\pi\)
−0.0797824 + 0.996812i \(0.525423\pi\)
\(578\) 1.68005 5.17067i 0.0698810 0.215071i
\(579\) −10.7403 + 13.9283i −0.446352 + 0.578840i
\(580\) −3.35914 8.62787i −0.139481 0.358253i
\(581\) 7.64845 + 11.1855i 0.317311 + 0.464053i
\(582\) −0.148575 + 1.03336i −0.00615863 + 0.0428342i
\(583\) 33.1844 9.24987i 1.37436 0.383090i
\(584\) 2.20295 + 15.3218i 0.0911586 + 0.634022i
\(585\) −4.11332 + 3.77517i −0.170065 + 0.156084i
\(586\) −1.43532 0.0820745i −0.0592925 0.00339047i
\(587\) −2.79914 13.8143i −0.115533 0.570177i −0.995469 0.0950855i \(-0.969688\pi\)
0.879936 0.475092i \(-0.157585\pi\)
\(588\) −12.5300 + 10.2457i −0.516727 + 0.422526i
\(589\) 41.8339 + 20.5683i 1.72374 + 0.847504i
\(590\) 1.86842 0.666650i 0.0769215 0.0274455i
\(591\) −2.41148 3.12727i −0.0991952 0.128639i
\(592\) −10.8529 + 17.9976i −0.446053 + 0.739695i
\(593\) 26.1976 + 30.2337i 1.07581 + 1.24155i 0.968945 + 0.247275i \(0.0795351\pi\)
0.106863 + 0.994274i \(0.465919\pi\)
\(594\) 3.53207 5.01596i 0.144922 0.205807i
\(595\) 0.357805 0.412929i 0.0146686 0.0169284i
\(596\) −11.3449 34.9159i −0.464704 1.43021i
\(597\) −11.3801 4.06043i −0.465758 0.166182i
\(598\) 7.94679 + 8.17706i 0.324969 + 0.334385i
\(599\) −13.7516 12.6211i −0.561876 0.515685i 0.344146 0.938916i \(-0.388168\pi\)
−0.906022 + 0.423231i \(0.860896\pi\)
\(600\) 0.984043 1.43912i 0.0401734 0.0587517i
\(601\) −12.5430 2.91675i −0.511640 0.118977i −0.0372749 0.999305i \(-0.511868\pi\)
−0.474365 + 0.880328i \(0.657322\pi\)
\(602\) 0.807826 + 0.586920i 0.0329245 + 0.0239211i
\(603\) −16.0402 1.84044i −0.653206 0.0749484i
\(604\) −40.7046 −1.65625
\(605\) −9.07371 + 6.21835i −0.368899 + 0.252812i
\(606\) 1.50761 0.0612423
\(607\) −27.9037 3.20165i −1.13257 0.129951i −0.472627 0.881263i \(-0.656694\pi\)
−0.659948 + 0.751312i \(0.729421\pi\)
\(608\) 14.6311 + 10.6301i 0.593369 + 0.431108i
\(609\) 5.62870 + 1.30890i 0.228086 + 0.0530392i
\(610\) 1.20923 1.76844i 0.0489601 0.0716019i
\(611\) −12.2349 11.2291i −0.494971 0.454280i
\(612\) −0.942822 0.970141i −0.0381113 0.0392156i
\(613\) 16.2939 + 5.81366i 0.658105 + 0.234811i 0.643926 0.765088i \(-0.277305\pi\)
0.0141795 + 0.999899i \(0.495486\pi\)
\(614\) −1.81083 5.57318i −0.0730793 0.224915i
\(615\) 5.22309 6.02777i 0.210615 0.243063i
\(616\) −0.879982 3.54549i −0.0354555 0.142852i
\(617\) −12.5158 14.4440i −0.503867 0.581494i 0.445651 0.895207i \(-0.352972\pi\)
−0.949518 + 0.313713i \(0.898427\pi\)
\(618\) −1.06464 + 1.76550i −0.0428259 + 0.0710189i
\(619\) 0.924085 + 1.19837i 0.0371421 + 0.0481667i 0.810107 0.586282i \(-0.199409\pi\)
−0.772965 + 0.634449i \(0.781227\pi\)
\(620\) −16.7854 + 5.98900i −0.674116 + 0.240524i
\(621\) 35.7164 + 17.5606i 1.43325 + 0.704681i
\(622\) 2.21827 1.81387i 0.0889446 0.0727297i
\(623\) −0.144878 0.715000i −0.00580441 0.0286459i
\(624\) −22.7150 1.29889i −0.909326 0.0519971i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 0.787219 + 5.47523i 0.0314636 + 0.218834i
\(627\) 14.4691 + 17.1699i 0.577840 + 0.685701i
\(628\) −3.02447 + 21.0356i −0.120689 + 0.839413i
\(629\) −2.22764 3.25782i −0.0888219 0.129898i
\(630\) −0.116013 0.297977i −0.00462207 0.0118717i
\(631\) −6.83339 + 8.86169i −0.272033 + 0.352778i −0.908024 0.418918i \(-0.862410\pi\)
0.635991 + 0.771696i \(0.280591\pi\)
\(632\) −6.55348 + 20.1695i −0.260684 + 0.802301i
\(633\) −17.0545 28.2816i −0.677854 1.12409i
\(634\) 2.61594 6.71899i 0.103892 0.266845i
\(635\) 12.1787 2.83204i 0.483298 0.112386i
\(636\) 24.7628 + 10.4649i 0.981910 + 0.414959i
\(637\) 25.9904 + 16.7030i 1.02978 + 0.661798i
\(638\) 3.30233 4.16282i 0.130741 0.164808i
\(639\) 2.15197 1.38299i 0.0851307 0.0547102i
\(640\) −8.98648 + 1.55517i −0.355222 + 0.0614736i
\(641\) 1.68444 + 19.6116i 0.0665313 + 0.774610i 0.951237 + 0.308460i \(0.0998138\pi\)
−0.884706 + 0.466150i \(0.845641\pi\)
\(642\) −0.184189 + 2.14447i −0.00726934 + 0.0846354i
\(643\) −12.7479 2.20610i −0.502726 0.0870002i −0.0864827 0.996253i \(-0.527563\pi\)
−0.416244 + 0.909253i \(0.636654\pi\)
\(644\) 10.6144 4.48568i 0.418265 0.176760i
\(645\) 3.90407 2.83648i 0.153723 0.111686i
\(646\) −0.892950 + 0.504272i −0.0351326 + 0.0198403i
\(647\) −0.183102 6.40940i −0.00719848 0.251980i −0.995220 0.0976615i \(-0.968864\pi\)
0.988021 0.154318i \(-0.0493181\pi\)
\(648\) 5.29987 1.55618i 0.208198 0.0611326i
\(649\) −15.3753 12.9294i −0.603534 0.507522i
\(650\) −1.55248 0.455851i −0.0608934 0.0178799i
\(651\) 2.82781 10.7581i 0.110831 0.421644i
\(652\) −6.30081 + 31.0957i −0.246759 + 1.21780i
\(653\) −4.77057 9.04123i −0.186687 0.353811i 0.773217 0.634142i \(-0.218647\pi\)
−0.959903 + 0.280331i \(0.909556\pi\)
\(654\) −0.0479607 + 1.67884i −0.00187541 + 0.0656480i
\(655\) −2.80657 10.6773i −0.109662 0.417197i
\(656\) −19.6121 + 1.12146i −0.765722 + 0.0437856i
\(657\) 9.56280 9.83989i 0.373080 0.383891i
\(658\) 0.853539 0.419657i 0.0332744 0.0163599i
\(659\) −17.3691 + 38.0331i −0.676606 + 1.48156i 0.189595 + 0.981862i \(0.439283\pi\)
−0.866200 + 0.499697i \(0.833445\pi\)
\(660\) −8.56251 0.607912i −0.333295 0.0236629i
\(661\) 13.2622 + 29.0403i 0.515842 + 1.12954i 0.970990 + 0.239120i \(0.0768589\pi\)
−0.455148 + 0.890416i \(0.650414\pi\)
\(662\) 2.49429 + 2.03957i 0.0969435 + 0.0792703i
\(663\) 1.99384 3.77875i 0.0774344 0.146754i
\(664\) 17.4123 + 9.83318i 0.675729 + 0.381602i
\(665\) 4.24928 0.487560i 0.164780 0.0189068i
\(666\) −2.29466 + 0.263288i −0.0889163 + 0.0102022i
\(667\) 30.0169 + 16.9513i 1.16226 + 0.656358i
\(668\) 13.4068 25.4087i 0.518725 0.983093i
\(669\) −28.0354 22.9244i −1.08391 0.886310i
\(670\) −1.94374 4.25620i −0.0750934 0.164432i
\(671\) −21.6401 1.53638i −0.835408 0.0593114i
\(672\) 1.79268 3.92542i 0.0691540 0.151426i
\(673\) 22.2186 10.9242i 0.856465 0.421096i 0.0404883 0.999180i \(-0.487109\pi\)
0.815977 + 0.578084i \(0.196200\pi\)
\(674\) −1.25979 + 1.29630i −0.0485255 + 0.0499315i
\(675\) −5.63846 + 0.322419i −0.217025 + 0.0124099i
\(676\) 5.48848 + 20.8803i 0.211095 + 0.803090i
\(677\) −0.123956 + 4.33904i −0.00476403 + 0.166763i 0.993726 + 0.111838i \(0.0356737\pi\)
−0.998490 + 0.0549248i \(0.982508\pi\)
\(678\) −1.25549 2.37942i −0.0482169 0.0913811i
\(679\) 0.399935 1.97376i 0.0153481 0.0757459i
\(680\) 0.204982 0.779833i 0.00786071 0.0299052i
\(681\) −15.5422 4.56361i −0.595579 0.174878i
\(682\) −7.82809 6.58276i −0.299753 0.252067i
\(683\) 2.66635 0.782911i 0.102025 0.0299573i −0.230322 0.973115i \(-0.573978\pi\)
0.332347 + 0.943157i \(0.392160\pi\)
\(684\) −0.302407 10.5856i −0.0115628 0.404752i
\(685\) −9.31090 + 5.25810i −0.355751 + 0.200902i
\(686\) −3.03389 + 2.20425i −0.115834 + 0.0841586i
\(687\) 17.6754 7.46969i 0.674359 0.284986i
\(688\) −11.7113 2.02672i −0.446490 0.0772681i
\(689\) 4.39123 51.1262i 0.167293 1.94775i
\(690\) 0.270084 + 3.14453i 0.0102819 + 0.119710i
\(691\) −43.7916 + 7.57844i −1.66591 + 0.288297i −0.924054 0.382261i \(-0.875146\pi\)
−0.741857 + 0.670558i \(0.766055\pi\)
\(692\) −13.6982 + 8.80330i −0.520728 + 0.334651i
\(693\) −2.01245 + 2.53684i −0.0764467 + 0.0963665i
\(694\) −2.09198 1.34443i −0.0794105 0.0510340i
\(695\) 6.89605 + 2.91429i 0.261582 + 0.110545i
\(696\) 8.30653 1.93160i 0.314858 0.0732172i
\(697\) 1.33835 3.43753i 0.0506938 0.130206i
\(698\) −1.60918 2.66853i −0.0609085 0.101005i
\(699\) −4.49541 + 13.8355i −0.170032 + 0.523305i
\(700\) −0.998516 + 1.29490i −0.0377404 + 0.0489426i
\(701\) 9.24880 + 23.7554i 0.349322 + 0.897227i 0.991433 + 0.130615i \(0.0416953\pi\)
−0.642111 + 0.766612i \(0.721941\pi\)
\(702\) −5.15793 7.54323i −0.194673 0.284701i
\(703\) 4.39677 30.5802i 0.165827 1.15336i
\(704\) 11.8391 + 14.0490i 0.446202 + 0.529492i
\(705\) −0.654168 4.54984i −0.0246374 0.171357i
\(706\) −3.38731 + 3.10884i −0.127483 + 0.117003i
\(707\) −2.90345 0.166025i −0.109196 0.00624403i
\(708\) −3.11328 15.3646i −0.117004 0.577438i
\(709\) 36.9286 30.1964i 1.38688 1.13405i 0.412039 0.911166i \(-0.364817\pi\)
0.974845 0.222883i \(-0.0715468\pi\)
\(710\) 0.665278 + 0.327095i 0.0249674 + 0.0122757i
\(711\) 17.7054 6.31728i 0.664005 0.236916i
\(712\) −0.657425 0.852564i −0.0246380 0.0319512i
\(713\) 34.2656 56.8232i 1.28326 2.12804i
\(714\) 0.160245 + 0.184933i 0.00599703 + 0.00692094i
\(715\) 3.94699 + 15.9026i 0.147609 + 0.594725i
\(716\) 6.24012 7.20149i 0.233204 0.269132i
\(717\) 11.4043 + 35.0989i 0.425902 + 1.31079i
\(718\) 8.61470 + 3.07372i 0.321498 + 0.114710i
\(719\) −4.20701 4.32891i −0.156895 0.161441i 0.634127 0.773229i \(-0.281360\pi\)
−0.791022 + 0.611788i \(0.790451\pi\)
\(720\) 2.80413 + 2.57361i 0.104504 + 0.0959128i
\(721\) 2.24478 3.28288i 0.0835998 0.122261i
\(722\) −1.75805 0.408818i −0.0654280 0.0152146i
\(723\) −9.53055 6.92435i −0.354445 0.257519i
\(724\) 20.5183 + 2.35426i 0.762557 + 0.0874952i
\(725\) −4.89172 −0.181674
\(726\) −2.17825 4.41869i −0.0808426 0.163993i
\(727\) 6.86902 0.254758 0.127379 0.991854i \(-0.459344\pi\)
0.127379 + 0.991854i \(0.459344\pi\)
\(728\) −5.40598 0.620279i −0.200359 0.0229891i
\(729\) −22.7048 16.4960i −0.840920 0.610964i
\(730\) 3.87314 + 0.900661i 0.143352 + 0.0333350i
\(731\) 1.25978 1.84238i 0.0465948 0.0681427i
\(732\) −12.4729 11.4475i −0.461011 0.423112i
\(733\) −12.6678 13.0348i −0.467895 0.481452i 0.441574 0.897225i \(-0.354420\pi\)
−0.909469 + 0.415773i \(0.863511\pi\)
\(734\) 9.97973 + 3.56076i 0.368358 + 0.131430i
\(735\) 2.64254 + 8.13291i 0.0974717 + 0.299987i
\(736\) 16.8578 19.4549i 0.621385 0.717117i
\(737\) −27.2805 + 38.7416i −1.00489 + 1.42706i
\(738\) −1.41376 1.63157i −0.0520413 0.0600589i
\(739\) −1.34418 + 2.22907i −0.0494464 + 0.0819976i −0.880090 0.474807i \(-0.842518\pi\)
0.830644 + 0.556804i \(0.187973\pi\)
\(740\) 7.21246 + 9.35328i 0.265135 + 0.343833i
\(741\) 31.5007 11.2394i 1.15721 0.412891i
\(742\) 2.63741 + 1.29673i 0.0968224 + 0.0476044i
\(743\) 36.5541 29.8901i 1.34104 1.09656i 0.354145 0.935191i \(-0.384772\pi\)
0.986894 0.161371i \(-0.0515916\pi\)
\(744\) −3.25997 16.0886i −0.119516 0.589837i
\(745\) −19.3651 1.10733i −0.709481 0.0405696i
\(746\) −2.07752 + 1.90673i −0.0760636 + 0.0698105i
\(747\) −2.52262 17.5452i −0.0922979 0.641946i
\(748\) −3.82437 + 1.06601i −0.139833 + 0.0389772i
\(749\) 0.590883 4.10968i 0.0215904 0.150164i
\(750\) −0.252790 0.369693i −0.00923057 0.0134993i
\(751\) 1.99698 + 5.12920i 0.0728709 + 0.187167i 0.963588 0.267390i \(-0.0861612\pi\)
−0.890718 + 0.454557i \(0.849798\pi\)
\(752\) −6.91326 + 8.96527i −0.252101 + 0.326930i
\(753\) 10.0431 30.9095i 0.365991 1.12641i
\(754\) −4.08725 6.77794i −0.148849 0.246838i
\(755\) −7.80244 + 20.0404i −0.283960 + 0.729345i
\(756\) −8.99494 + 2.09168i −0.327143 + 0.0760738i
\(757\) 15.6937 + 6.63223i 0.570399 + 0.241053i 0.655341 0.755333i \(-0.272525\pi\)
−0.0849419 + 0.996386i \(0.527070\pi\)
\(758\) 8.07911 + 5.19213i 0.293447 + 0.188587i
\(759\) 26.1127 18.4285i 0.947833 0.668913i
\(760\) 5.31000 3.41253i 0.192614 0.123785i
\(761\) 11.0809 1.91763i 0.401684 0.0695141i 0.0338996 0.999425i \(-0.489207\pi\)
0.367784 + 0.929911i \(0.380116\pi\)
\(762\) 0.479207 + 5.57931i 0.0173598 + 0.202117i
\(763\) 0.277249 3.22795i 0.0100371 0.116860i
\(764\) −32.3314 5.59516i −1.16971 0.202426i
\(765\) −0.658361 + 0.278226i −0.0238031 + 0.0100593i
\(766\) 6.41432 4.66027i 0.231759 0.168383i
\(767\) −26.0560 + 14.7145i −0.940827 + 0.531310i
\(768\) 0.315977 + 11.0607i 0.0114019 + 0.399117i
\(769\) −22.3765 + 6.57032i −0.806916 + 0.236932i −0.659073 0.752079i \(-0.729051\pi\)
−0.147843 + 0.989011i \(0.547233\pi\)
\(770\) −0.930755 0.119790i −0.0335421 0.00431692i
\(771\) 6.63937 + 1.94950i 0.239111 + 0.0702094i
\(772\) 6.18893 23.5451i 0.222744