Properties

Label 588.2.x.a.223.6
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.6
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16344 - 0.803993i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.707190 + 1.87080i) q^{4} +(-3.84631 - 0.877896i) q^{5} +(1.04273 - 0.955366i) q^{6} +(-2.22982 - 1.42405i) q^{7} +(0.681335 - 2.74514i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.16344 - 0.803993i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.707190 + 1.87080i) q^{4} +(-3.84631 - 0.877896i) q^{5} +(1.04273 - 0.955366i) q^{6} +(-2.22982 - 1.42405i) q^{7} +(0.681335 - 2.74514i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(3.76914 + 4.11379i) q^{10} +(-0.211161 - 0.438481i) q^{11} +(-1.98126 + 0.273167i) q^{12} +(1.80566 + 3.74949i) q^{13} +(1.44933 + 3.44955i) q^{14} +(1.71177 - 3.55453i) q^{15} +(-2.99977 + 2.64602i) q^{16} +(3.87770 - 3.09236i) q^{17} +(0.699384 + 1.22917i) q^{18} -1.26247 q^{19} +(-1.07771 - 7.81651i) q^{20} +(1.88453 - 1.85703i) q^{21} +(-0.106862 + 0.679919i) q^{22} +(-1.01756 - 0.811475i) q^{23} +(2.52470 + 1.27510i) q^{24} +(9.51858 + 4.58391i) q^{25} +(0.913788 - 5.81405i) q^{26} +(0.623490 - 0.781831i) q^{27} +(1.08720 - 5.17861i) q^{28} +(3.84838 + 4.82572i) q^{29} +(-4.84936 + 2.75923i) q^{30} -1.46864 q^{31} +(5.61743 - 0.666694i) q^{32} +(0.474475 - 0.108296i) q^{33} +(-6.99771 + 0.480136i) q^{34} +(7.32641 + 7.43489i) q^{35} +(0.174553 - 1.99237i) q^{36} +(5.94597 + 7.45601i) q^{37} +(1.46881 + 1.01502i) q^{38} +(-4.05728 + 0.926049i) q^{39} +(-5.03057 + 9.96052i) q^{40} +(-0.785690 - 0.179329i) q^{41} +(-3.68557 + 0.645398i) q^{42} +(9.95871 - 2.27301i) q^{43} +(0.670978 - 0.705130i) q^{44} +(3.08450 + 2.45981i) q^{45} +(0.531448 + 1.76221i) q^{46} +(-7.29098 + 3.51115i) q^{47} +(-1.91217 - 3.51335i) q^{48} +(2.94417 + 6.35074i) q^{49} +(-7.38887 - 12.9860i) q^{50} +(2.15196 + 4.46859i) q^{51} +(-5.73760 + 6.02963i) q^{52} +(4.02092 - 5.04208i) q^{53} +(-1.35398 + 0.408333i) q^{54} +(0.427252 + 1.87191i) q^{55} +(-5.42846 + 5.15090i) q^{56} +(0.280926 - 1.23082i) q^{57} +(-0.597521 - 8.70852i) q^{58} +(0.246939 + 1.08191i) q^{59} +(7.86035 + 0.688650i) q^{60} +(4.52728 - 3.61038i) q^{61} +(1.70867 + 1.18077i) q^{62} +(1.39112 + 2.25051i) q^{63} +(-7.07157 - 3.74072i) q^{64} +(-3.65347 - 16.0069i) q^{65} +(-0.639093 - 0.255479i) q^{66} +5.76579i q^{67} +(8.52745 + 5.06750i) q^{68} +(1.01756 - 0.811475i) q^{69} +(-2.54624 - 14.5404i) q^{70} +(3.14148 + 2.50524i) q^{71} +(-1.80493 + 2.17766i) q^{72} +(6.35632 - 13.1990i) q^{73} +(-0.923202 - 13.4551i) q^{74} +(-6.58706 + 8.25991i) q^{75} +(-0.892806 - 2.36183i) q^{76} +(-0.153568 + 1.27844i) q^{77} +(5.46495 + 2.18463i) q^{78} -17.2973i q^{79} +(13.8610 - 7.54393i) q^{80} +(0.623490 + 0.781831i) q^{81} +(0.769925 + 0.840328i) q^{82} +(4.95499 + 2.38620i) q^{83} +(4.80684 + 2.21229i) q^{84} +(-17.6296 + 8.48997i) q^{85} +(-13.4139 - 5.36222i) q^{86} +(-5.56108 + 2.67807i) q^{87} +(-1.34756 + 0.280915i) q^{88} +(-6.19385 + 12.8617i) q^{89} +(-1.61097 - 5.34176i) q^{90} +(1.31317 - 10.9320i) q^{91} +(0.798499 - 2.47751i) q^{92} +(0.326802 - 1.43181i) q^{93} +(11.3056 + 1.77688i) q^{94} +(4.85586 + 1.10832i) q^{95} +(-0.600018 + 5.62494i) q^{96} -3.59515i q^{97} +(1.68059 - 9.75580i) q^{98} +0.486678i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16344 0.803993i −0.822677 0.568509i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) 0.707190 + 1.87080i 0.353595 + 0.935399i
\(5\) −3.84631 0.877896i −1.72012 0.392607i −0.755274 0.655409i \(-0.772496\pi\)
−0.964850 + 0.262802i \(0.915353\pi\)
\(6\) 1.04273 0.955366i 0.425691 0.390026i
\(7\) −2.22982 1.42405i −0.842792 0.538240i
\(8\) 0.681335 2.74514i 0.240888 0.970553i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) 3.76914 + 4.11379i 1.19191 + 1.30089i
\(11\) −0.211161 0.438481i −0.0636676 0.132207i 0.866707 0.498818i \(-0.166232\pi\)
−0.930374 + 0.366611i \(0.880518\pi\)
\(12\) −1.98126 + 0.273167i −0.571940 + 0.0788566i
\(13\) 1.80566 + 3.74949i 0.500800 + 1.03992i 0.986189 + 0.165624i \(0.0529638\pi\)
−0.485389 + 0.874299i \(0.661322\pi\)
\(14\) 1.44933 + 3.44955i 0.387351 + 0.921932i
\(15\) 1.71177 3.55453i 0.441977 0.917775i
\(16\) −2.99977 + 2.64602i −0.749941 + 0.661504i
\(17\) 3.87770 3.09236i 0.940480 0.750007i −0.0278684 0.999612i \(-0.508872\pi\)
0.968348 + 0.249604i \(0.0803005\pi\)
\(18\) 0.699384 + 1.22917i 0.164847 + 0.289718i
\(19\) −1.26247 −0.289631 −0.144815 0.989459i \(-0.546259\pi\)
−0.144815 + 0.989459i \(0.546259\pi\)
\(20\) −1.07771 7.81651i −0.240983 1.74782i
\(21\) 1.88453 1.85703i 0.411237 0.405237i
\(22\) −0.106862 + 0.679919i −0.0227831 + 0.144959i
\(23\) −1.01756 0.811475i −0.212175 0.169204i 0.511636 0.859203i \(-0.329040\pi\)
−0.723811 + 0.689998i \(0.757611\pi\)
\(24\) 2.52470 + 1.27510i 0.515352 + 0.260279i
\(25\) 9.51858 + 4.58391i 1.90372 + 0.916781i
\(26\) 0.913788 5.81405i 0.179209 1.14023i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) 1.08720 5.17861i 0.205462 0.978665i
\(29\) 3.84838 + 4.82572i 0.714627 + 0.896114i 0.998020 0.0628897i \(-0.0200316\pi\)
−0.283393 + 0.959004i \(0.591460\pi\)
\(30\) −4.84936 + 2.75923i −0.885368 + 0.503764i
\(31\) −1.46864 −0.263775 −0.131887 0.991265i \(-0.542104\pi\)
−0.131887 + 0.991265i \(0.542104\pi\)
\(32\) 5.61743 0.666694i 0.993031 0.117856i
\(33\) 0.474475 0.108296i 0.0825956 0.0188519i
\(34\) −6.99771 + 0.480136i −1.20010 + 0.0823427i
\(35\) 7.32641 + 7.43489i 1.23839 + 1.25673i
\(36\) 0.174553 1.99237i 0.0290921 0.332061i
\(37\) 5.94597 + 7.45601i 0.977511 + 1.22576i 0.974182 + 0.225765i \(0.0724883\pi\)
0.00332925 + 0.999994i \(0.498940\pi\)
\(38\) 1.46881 + 1.01502i 0.238272 + 0.164658i
\(39\) −4.05728 + 0.926049i −0.649685 + 0.148286i
\(40\) −5.03057 + 9.96052i −0.795403 + 1.57490i
\(41\) −0.785690 0.179329i −0.122704 0.0280064i 0.160728 0.986999i \(-0.448616\pi\)
−0.283432 + 0.958992i \(0.591473\pi\)
\(42\) −3.68557 + 0.645398i −0.568697 + 0.0995871i
\(43\) 9.95871 2.27301i 1.51869 0.346631i 0.619783 0.784773i \(-0.287221\pi\)
0.898906 + 0.438142i \(0.144363\pi\)
\(44\) 0.670978 0.705130i 0.101154 0.106302i
\(45\) 3.08450 + 2.45981i 0.459811 + 0.366687i
\(46\) 0.531448 + 1.76221i 0.0783577 + 0.259824i
\(47\) −7.29098 + 3.51115i −1.06350 + 0.512154i −0.882006 0.471238i \(-0.843807\pi\)
−0.181493 + 0.983392i \(0.558093\pi\)
\(48\) −1.91217 3.51335i −0.275997 0.507108i
\(49\) 2.94417 + 6.35074i 0.420595 + 0.907248i
\(50\) −7.38887 12.9860i −1.04494 1.83649i
\(51\) 2.15196 + 4.46859i 0.301335 + 0.625728i
\(52\) −5.73760 + 6.02963i −0.795662 + 0.836159i
\(53\) 4.02092 5.04208i 0.552316 0.692583i −0.424800 0.905287i \(-0.639656\pi\)
0.977117 + 0.212704i \(0.0682272\pi\)
\(54\) −1.35398 + 0.408333i −0.184253 + 0.0555671i
\(55\) 0.427252 + 1.87191i 0.0576107 + 0.252409i
\(56\) −5.42846 + 5.15090i −0.725409 + 0.688318i
\(57\) 0.280926 1.23082i 0.0372096 0.163026i
\(58\) −0.597521 8.70852i −0.0784583 1.14348i
\(59\) 0.246939 + 1.08191i 0.0321487 + 0.140853i 0.988455 0.151513i \(-0.0484146\pi\)
−0.956307 + 0.292366i \(0.905557\pi\)
\(60\) 7.86035 + 0.688650i 1.01477 + 0.0889043i
\(61\) 4.52728 3.61038i 0.579659 0.462262i −0.289237 0.957257i \(-0.593402\pi\)
0.868896 + 0.494995i \(0.164830\pi\)
\(62\) 1.70867 + 1.18077i 0.217002 + 0.149958i
\(63\) 1.39112 + 2.25051i 0.175265 + 0.283537i
\(64\) −7.07157 3.74072i −0.883946 0.467590i
\(65\) −3.65347 16.0069i −0.453158 1.98541i
\(66\) −0.639093 0.255479i −0.0786670 0.0314473i
\(67\) 5.76579i 0.704404i 0.935924 + 0.352202i \(0.114567\pi\)
−0.935924 + 0.352202i \(0.885433\pi\)
\(68\) 8.52745 + 5.06750i 1.03410 + 0.614525i
\(69\) 1.01756 0.811475i 0.122500 0.0976901i
\(70\) −2.54624 14.5404i −0.304334 1.73791i
\(71\) 3.14148 + 2.50524i 0.372825 + 0.297318i 0.791920 0.610624i \(-0.209081\pi\)
−0.419096 + 0.907942i \(0.637653\pi\)
\(72\) −1.80493 + 2.17766i −0.212713 + 0.256640i
\(73\) 6.35632 13.1990i 0.743952 1.54483i −0.0918335 0.995774i \(-0.529273\pi\)
0.835785 0.549057i \(-0.185013\pi\)
\(74\) −0.923202 13.4551i −0.107320 1.56413i
\(75\) −6.58706 + 8.25991i −0.760608 + 0.953772i
\(76\) −0.892806 2.36183i −0.102412 0.270920i
\(77\) −0.153568 + 1.27844i −0.0175006 + 0.145691i
\(78\) 5.46495 + 2.18463i 0.618783 + 0.247360i
\(79\) 17.2973i 1.94610i −0.230603 0.973048i \(-0.574070\pi\)
0.230603 0.973048i \(-0.425930\pi\)
\(80\) 13.8610 7.54393i 1.54970 0.843437i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) 0.769925 + 0.840328i 0.0850240 + 0.0927987i
\(83\) 4.95499 + 2.38620i 0.543881 + 0.261919i 0.685588 0.727989i \(-0.259545\pi\)
−0.141708 + 0.989909i \(0.545259\pi\)
\(84\) 4.80684 + 2.21229i 0.524470 + 0.241381i
\(85\) −17.6296 + 8.48997i −1.91220 + 0.920867i
\(86\) −13.4139 5.36222i −1.44645 0.578223i
\(87\) −5.56108 + 2.67807i −0.596210 + 0.287120i
\(88\) −1.34756 + 0.280915i −0.143651 + 0.0299456i
\(89\) −6.19385 + 12.8617i −0.656547 + 1.36333i 0.260857 + 0.965377i \(0.415995\pi\)
−0.917404 + 0.397957i \(0.869719\pi\)
\(90\) −1.61097 5.34176i −0.169811 0.563071i
\(91\) 1.31317 10.9320i 0.137658 1.14599i
\(92\) 0.798499 2.47751i 0.0832493 0.258298i
\(93\) 0.326802 1.43181i 0.0338878 0.148472i
\(94\) 11.3056 + 1.77688i 1.16608 + 0.183271i
\(95\) 4.85586 + 1.10832i 0.498200 + 0.113711i
\(96\) −0.600018 + 5.62494i −0.0612390 + 0.574093i
\(97\) 3.59515i 0.365033i −0.983203 0.182516i \(-0.941576\pi\)
0.983203 0.182516i \(-0.0584242\pi\)
\(98\) 1.68059 9.75580i 0.169765 0.985485i
\(99\) 0.486678i 0.0489129i
\(100\) −1.84412 + 21.0490i −0.184412 + 2.10490i
\(101\) −9.20206 2.10031i −0.915640 0.208989i −0.261360 0.965241i \(-0.584171\pi\)
−0.654280 + 0.756253i \(0.727028\pi\)
\(102\) 1.08904 6.92910i 0.107831 0.686083i
\(103\) −3.13189 + 13.7217i −0.308595 + 1.35204i 0.548185 + 0.836357i \(0.315319\pi\)
−0.856779 + 0.515684i \(0.827538\pi\)
\(104\) 11.5231 2.40213i 1.12994 0.235548i
\(105\) −8.87876 + 5.48830i −0.866478 + 0.535603i
\(106\) −8.73190 + 2.63336i −0.848117 + 0.255775i
\(107\) 7.50112 15.5762i 0.725161 1.50581i −0.132271 0.991214i \(-0.542227\pi\)
0.857431 0.514598i \(-0.172059\pi\)
\(108\) 1.90357 + 0.613520i 0.183171 + 0.0590360i
\(109\) −1.60357 + 0.772241i −0.153595 + 0.0739672i −0.509102 0.860706i \(-0.670022\pi\)
0.355507 + 0.934673i \(0.384308\pi\)
\(110\) 1.00792 2.52137i 0.0961017 0.240403i
\(111\) −8.59217 + 4.13777i −0.815533 + 0.392740i
\(112\) 10.4570 1.62832i 0.988092 0.153862i
\(113\) 13.6982 + 6.59671i 1.28862 + 0.620566i 0.947591 0.319487i \(-0.103511\pi\)
0.341028 + 0.940053i \(0.389225\pi\)
\(114\) −1.31641 + 1.20612i −0.123293 + 0.112964i
\(115\) 3.20145 + 4.01450i 0.298537 + 0.374354i
\(116\) −6.30641 + 10.6122i −0.585535 + 0.985323i
\(117\) 4.16162i 0.384742i
\(118\) 0.582550 1.45728i 0.0536281 0.134153i
\(119\) −13.0502 + 1.37337i −1.19631 + 0.125896i
\(120\) −8.59138 7.12087i −0.784282 0.650044i
\(121\) 6.71071 8.41497i 0.610065 0.764997i
\(122\) −8.16995 + 0.560567i −0.739672 + 0.0507514i
\(123\) 0.349665 0.726087i 0.0315282 0.0654691i
\(124\) −1.03860 2.74752i −0.0932695 0.246735i
\(125\) −17.1647 13.6884i −1.53526 1.22433i
\(126\) 0.190901 3.73678i 0.0170068 0.332899i
\(127\) −2.69476 + 2.14900i −0.239121 + 0.190693i −0.735717 0.677289i \(-0.763155\pi\)
0.496596 + 0.867982i \(0.334583\pi\)
\(128\) 5.21984 + 10.0376i 0.461373 + 0.887206i
\(129\) 10.2148i 0.899364i
\(130\) −8.61885 + 21.5605i −0.755923 + 1.89098i
\(131\) 0.220049 + 0.964099i 0.0192258 + 0.0842338i 0.983631 0.180196i \(-0.0576733\pi\)
−0.964405 + 0.264430i \(0.914816\pi\)
\(132\) 0.538144 + 0.811062i 0.0468394 + 0.0705939i
\(133\) 2.81508 + 1.79782i 0.244098 + 0.155891i
\(134\) 4.63566 6.70816i 0.400460 0.579497i
\(135\) −3.08450 + 2.45981i −0.265472 + 0.211707i
\(136\) −5.84694 12.7517i −0.501371 1.09345i
\(137\) 4.05489 + 17.7656i 0.346432 + 1.51782i 0.785213 + 0.619225i \(0.212553\pi\)
−0.438781 + 0.898594i \(0.644590\pi\)
\(138\) −1.83629 + 0.125994i −0.156315 + 0.0107253i
\(139\) −2.69583 + 11.8112i −0.228657 + 1.00181i 0.722079 + 0.691811i \(0.243187\pi\)
−0.950736 + 0.310002i \(0.899670\pi\)
\(140\) −8.72801 + 18.9641i −0.737651 + 1.60276i
\(141\) −1.80072 7.88948i −0.151648 0.664414i
\(142\) −1.64072 5.44043i −0.137686 0.456551i
\(143\) 1.26280 1.58350i 0.105600 0.132419i
\(144\) 3.85076 1.08243i 0.320897 0.0902025i
\(145\) −10.5656 21.9397i −0.877426 1.82199i
\(146\) −18.0072 + 10.2459i −1.49028 + 0.847954i
\(147\) −6.84665 + 1.45718i −0.564702 + 0.120186i
\(148\) −9.74375 + 16.3965i −0.800931 + 1.34778i
\(149\) −6.45073 + 3.10651i −0.528464 + 0.254495i −0.679037 0.734104i \(-0.737602\pi\)
0.150573 + 0.988599i \(0.451888\pi\)
\(150\) 14.3046 4.31397i 1.16796 0.352234i
\(151\) −14.3752 11.4638i −1.16984 0.932915i −0.171208 0.985235i \(-0.554767\pi\)
−0.998630 + 0.0523203i \(0.983338\pi\)
\(152\) −0.860165 + 3.46566i −0.0697686 + 0.281102i
\(153\) −4.83541 + 1.10365i −0.390920 + 0.0892249i
\(154\) 1.20652 1.36392i 0.0972243 0.109908i
\(155\) 5.64884 + 1.28931i 0.453725 + 0.103560i
\(156\) −4.60172 6.93546i −0.368432 0.555282i
\(157\) −2.24926 + 0.513379i −0.179511 + 0.0409721i −0.311331 0.950301i \(-0.600775\pi\)
0.131821 + 0.991274i \(0.457918\pi\)
\(158\) −13.9069 + 20.1244i −1.10637 + 1.60101i
\(159\) 4.02092 + 5.04208i 0.318880 + 0.399863i
\(160\) −22.1917 2.36721i −1.75441 0.187144i
\(161\) 1.11339 + 3.25849i 0.0877472 + 0.256805i
\(162\) −0.0968063 1.41090i −0.00760582 0.110850i
\(163\) 20.1553 4.60033i 1.57869 0.360325i 0.658742 0.752369i \(-0.271089\pi\)
0.919947 + 0.392044i \(0.128232\pi\)
\(164\) −0.220144 1.59669i −0.0171904 0.124680i
\(165\) −1.92005 −0.149476
\(166\) −3.84635 6.75998i −0.298535 0.524676i
\(167\) −5.97855 7.49686i −0.462634 0.580124i 0.494716 0.869054i \(-0.335272\pi\)
−0.957350 + 0.288930i \(0.906700\pi\)
\(168\) −3.81381 6.43854i −0.294242 0.496744i
\(169\) −2.69293 + 3.37682i −0.207148 + 0.259756i
\(170\) 27.3369 + 4.29650i 2.09664 + 0.329527i
\(171\) 1.13745 + 0.547765i 0.0869827 + 0.0418887i
\(172\) 11.2950 + 17.0233i 0.861238 + 1.29801i
\(173\) 14.8636 + 11.8533i 1.13006 + 0.901191i 0.995962 0.0897778i \(-0.0286157\pi\)
0.134095 + 0.990968i \(0.457187\pi\)
\(174\) 8.62314 + 1.35529i 0.653718 + 0.102744i
\(175\) −14.6970 23.7762i −1.11099 1.79731i
\(176\) 1.79366 + 0.756604i 0.135203 + 0.0570312i
\(177\) −1.10973 −0.0834127
\(178\) 17.5469 9.98398i 1.31519 0.748331i
\(179\) −2.37352 + 1.89282i −0.177405 + 0.141476i −0.708167 0.706045i \(-0.750477\pi\)
0.530761 + 0.847521i \(0.321906\pi\)
\(180\) −2.42048 + 7.51003i −0.180412 + 0.559765i
\(181\) −6.09541 + 12.6573i −0.453069 + 0.940806i 0.541883 + 0.840454i \(0.317711\pi\)
−0.994952 + 0.100353i \(0.968003\pi\)
\(182\) −10.3171 + 11.6630i −0.764753 + 0.864519i
\(183\) 2.51245 + 5.21716i 0.185726 + 0.385663i
\(184\) −2.92091 + 2.24045i −0.215332 + 0.165168i
\(185\) −16.3245 33.8981i −1.20020 2.49224i
\(186\) −1.53138 + 1.40309i −0.112287 + 0.102879i
\(187\) −2.17476 1.04731i −0.159034 0.0765869i
\(188\) −11.7248 11.1569i −0.855116 0.813700i
\(189\) −2.50363 + 0.855461i −0.182113 + 0.0622256i
\(190\) −4.75842 5.19354i −0.345212 0.376779i
\(191\) 12.8094 + 2.92366i 0.926856 + 0.211549i 0.659202 0.751966i \(-0.270894\pi\)
0.267654 + 0.963515i \(0.413752\pi\)
\(192\) 5.22050 6.06188i 0.376757 0.437478i
\(193\) 1.21712 5.33255i 0.0876101 0.383845i −0.912045 0.410089i \(-0.865498\pi\)
0.999656 + 0.0262441i \(0.00835473\pi\)
\(194\) −2.89048 + 4.18275i −0.207524 + 0.300304i
\(195\) 16.4186 1.17576
\(196\) −9.79886 + 9.99912i −0.699919 + 0.714223i
\(197\) −5.42046 −0.386192 −0.193096 0.981180i \(-0.561853\pi\)
−0.193096 + 0.981180i \(0.561853\pi\)
\(198\) 0.391285 0.566221i 0.0278074 0.0402395i
\(199\) −4.19586 + 18.3833i −0.297437 + 1.30316i 0.576492 + 0.817103i \(0.304421\pi\)
−0.873929 + 0.486054i \(0.838436\pi\)
\(200\) 19.0688 23.0066i 1.34837 1.62681i
\(201\) −5.62123 1.28301i −0.396491 0.0904966i
\(202\) 9.01742 + 9.84198i 0.634464 + 0.692480i
\(203\) −1.70913 16.2408i −0.119957 1.13988i
\(204\) −6.83798 + 7.18602i −0.478754 + 0.503122i
\(205\) 2.86458 + 1.37951i 0.200071 + 0.0963491i
\(206\) 14.6759 13.4464i 1.02252 0.936854i
\(207\) 0.564702 + 1.17262i 0.0392495 + 0.0815024i
\(208\) −15.3378 6.46979i −1.06348 0.448599i
\(209\) 0.266585 + 0.553570i 0.0184401 + 0.0382912i
\(210\) 14.7425 + 0.753146i 1.01733 + 0.0519720i
\(211\) −10.0671 + 20.9046i −0.693048 + 1.43913i 0.195667 + 0.980670i \(0.437313\pi\)
−0.888715 + 0.458459i \(0.848402\pi\)
\(212\) 12.2763 + 3.95663i 0.843137 + 0.271742i
\(213\) −3.14148 + 2.50524i −0.215250 + 0.171657i
\(214\) −21.2503 + 12.0912i −1.45264 + 0.826536i
\(215\) −40.2998 −2.74842
\(216\) −1.72143 2.24425i −0.117128 0.152702i
\(217\) 3.27479 + 2.09141i 0.222307 + 0.141974i
\(218\) 2.48654 + 0.390807i 0.168410 + 0.0264688i
\(219\) 11.4537 + 9.13402i 0.773969 + 0.617220i
\(220\) −3.19982 + 2.12310i −0.215732 + 0.143139i
\(221\) 18.5966 + 8.95565i 1.25094 + 0.602422i
\(222\) 13.3232 + 2.09399i 0.894196 + 0.140540i
\(223\) 9.77737 12.2604i 0.654741 0.821019i −0.338018 0.941140i \(-0.609757\pi\)
0.992759 + 0.120120i \(0.0383280\pi\)
\(224\) −13.4752 6.51289i −0.900353 0.435161i
\(225\) −6.58706 8.25991i −0.439137 0.550661i
\(226\) −10.6333 18.6881i −0.707319 1.24312i
\(227\) 5.31375 0.352686 0.176343 0.984329i \(-0.443573\pi\)
0.176343 + 0.984329i \(0.443573\pi\)
\(228\) 2.50128 0.344866i 0.165651 0.0228393i
\(229\) 21.3557 4.87430i 1.41122 0.322103i 0.552061 0.833804i \(-0.313842\pi\)
0.859164 + 0.511701i \(0.170984\pi\)
\(230\) −0.497075 7.24458i −0.0327761 0.477693i
\(231\) −1.21221 0.434196i −0.0797577 0.0285680i
\(232\) 15.8693 7.27641i 1.04187 0.477720i
\(233\) 2.34249 + 2.93739i 0.153462 + 0.192435i 0.852619 0.522533i \(-0.175013\pi\)
−0.699157 + 0.714968i \(0.746441\pi\)
\(234\) −3.34592 + 4.84180i −0.218730 + 0.316519i
\(235\) 31.1258 7.10426i 2.03042 0.463431i
\(236\) −1.84940 + 1.22709i −0.120386 + 0.0798767i
\(237\) 16.8636 + 3.84901i 1.09541 + 0.250020i
\(238\) 16.2873 + 8.89446i 1.05575 + 0.576542i
\(239\) 6.92758 1.58118i 0.448108 0.102278i 0.00748909 0.999972i \(-0.497616\pi\)
0.440619 + 0.897694i \(0.354759\pi\)
\(240\) 4.27043 + 15.1921i 0.275655 + 0.980647i
\(241\) 6.35072 + 5.06453i 0.409086 + 0.326235i 0.806317 0.591484i \(-0.201458\pi\)
−0.397231 + 0.917718i \(0.630029\pi\)
\(242\) −14.5731 + 4.39495i −0.936794 + 0.282518i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) 9.95594 + 5.91639i 0.637364 + 0.378758i
\(245\) −5.74890 27.0116i −0.367284 1.72571i
\(246\) −0.990584 + 0.563631i −0.0631573 + 0.0359358i
\(247\) −2.27959 4.73363i −0.145047 0.301193i
\(248\) −1.00063 + 4.03161i −0.0635403 + 0.256008i
\(249\) −3.42896 + 4.29978i −0.217301 + 0.272487i
\(250\) 8.96475 + 29.7260i 0.566981 + 1.88004i
\(251\) −0.449468 1.96925i −0.0283702 0.124298i 0.958760 0.284217i \(-0.0917337\pi\)
−0.987130 + 0.159919i \(0.948877\pi\)
\(252\) −3.22645 + 4.19405i −0.203247 + 0.264200i
\(253\) −0.140948 + 0.617532i −0.00886131 + 0.0388239i
\(254\) 4.86298 0.333665i 0.305130 0.0209360i
\(255\) −4.35415 19.0768i −0.272668 1.19463i
\(256\) 1.99719 15.8749i 0.124824 0.992179i
\(257\) −5.51642 + 4.39920i −0.344105 + 0.274414i −0.780258 0.625458i \(-0.784912\pi\)
0.436153 + 0.899873i \(0.356341\pi\)
\(258\) 8.21264 11.8843i 0.511297 0.739886i
\(259\) −2.64070 25.0929i −0.164085 1.55920i
\(260\) 27.3620 18.1548i 1.69692 1.12591i
\(261\) −1.37347 6.01758i −0.0850158 0.372479i
\(262\) 0.519115 1.29859i 0.0320710 0.0802272i
\(263\) 24.6901i 1.52246i 0.648483 + 0.761229i \(0.275404\pi\)
−0.648483 + 0.761229i \(0.724596\pi\)
\(264\) 0.0259895 1.37629i 0.00159954 0.0847046i
\(265\) −19.8921 + 15.8635i −1.22196 + 0.974484i
\(266\) −1.82974 4.35496i −0.112189 0.267020i
\(267\) −11.1609 8.90055i −0.683038 0.544705i
\(268\) −10.7866 + 4.07751i −0.658899 + 0.249074i
\(269\) 3.38566 7.03040i 0.206428 0.428651i −0.771892 0.635754i \(-0.780689\pi\)
0.978319 + 0.207103i \(0.0664035\pi\)
\(270\) 5.56631 0.381923i 0.338755 0.0232431i
\(271\) 16.4026 20.5683i 0.996389 1.24943i 0.0280990 0.999605i \(-0.491055\pi\)
0.968290 0.249828i \(-0.0803739\pi\)
\(272\) −3.44974 + 19.5368i −0.209171 + 1.18459i
\(273\) 10.3657 + 3.71285i 0.627363 + 0.224712i
\(274\) 9.56582 23.9293i 0.577892 1.44562i
\(275\) 5.14166i 0.310054i
\(276\) 2.23771 + 1.32978i 0.134694 + 0.0800432i
\(277\) 8.41073 + 10.5467i 0.505352 + 0.633691i 0.967427 0.253149i \(-0.0814664\pi\)
−0.462075 + 0.886841i \(0.652895\pi\)
\(278\) 12.6326 11.5742i 0.757651 0.694175i
\(279\) 1.32320 + 0.637218i 0.0792177 + 0.0381492i
\(280\) 25.4015 15.0464i 1.51803 0.899191i
\(281\) 2.69279 1.29678i 0.160638 0.0773594i −0.351837 0.936061i \(-0.614443\pi\)
0.512475 + 0.858702i \(0.328729\pi\)
\(282\) −4.24806 + 10.6267i −0.252968 + 0.632812i
\(283\) 11.1751 5.38163i 0.664289 0.319905i −0.0711795 0.997464i \(-0.522676\pi\)
0.735469 + 0.677559i \(0.236962\pi\)
\(284\) −2.46518 + 7.64875i −0.146282 + 0.453870i
\(285\) −2.16106 + 4.48749i −0.128010 + 0.265816i
\(286\) −2.74231 + 0.827025i −0.162156 + 0.0489030i
\(287\) 1.49657 + 1.51873i 0.0883399 + 0.0896479i
\(288\) −5.35040 1.83664i −0.315275 0.108225i
\(289\) 1.69099 7.40869i 0.0994697 0.435805i
\(290\) −5.34692 + 34.0202i −0.313982 + 1.99774i
\(291\) 3.50502 + 0.799997i 0.205468 + 0.0468967i
\(292\) 29.1879 + 2.55717i 1.70809 + 0.149647i
\(293\) 6.94236i 0.405577i 0.979223 + 0.202788i \(0.0650003\pi\)
−0.979223 + 0.202788i \(0.935000\pi\)
\(294\) 9.13724 + 3.80932i 0.532894 + 0.222164i
\(295\) 4.37815i 0.254906i
\(296\) 24.5190 11.2425i 1.42514 0.653455i
\(297\) −0.474475 0.108296i −0.0275319 0.00628397i
\(298\) 10.0026 + 1.57210i 0.579438 + 0.0910695i
\(299\) 1.20526 5.28058i 0.0697018 0.305384i
\(300\) −20.1109 6.48173i −1.16110 0.374223i
\(301\) −25.4430 9.11329i −1.46651 0.525281i
\(302\) 7.50785 + 24.8951i 0.432028 + 1.43255i
\(303\) 4.09530 8.50399i 0.235269 0.488541i
\(304\) 3.78712 3.34052i 0.217206 0.191592i
\(305\) −20.5829 + 9.91219i −1.17857 + 0.567570i
\(306\) 6.51304 + 2.60360i 0.372326 + 0.148838i
\(307\) 9.88187 4.75886i 0.563988 0.271602i −0.130090 0.991502i \(-0.541527\pi\)
0.694078 + 0.719900i \(0.255812\pi\)
\(308\) −2.50030 + 0.616804i −0.142468 + 0.0351457i
\(309\) −12.6808 6.10674i −0.721384 0.347400i
\(310\) −5.53549 6.04166i −0.314395 0.343143i
\(311\) 4.50930 + 5.65449i 0.255699 + 0.320637i 0.893068 0.449923i \(-0.148548\pi\)
−0.637368 + 0.770559i \(0.719977\pi\)
\(312\) −0.222239 + 11.7688i −0.0125818 + 0.666275i
\(313\) 7.77323i 0.439369i −0.975571 0.219684i \(-0.929497\pi\)
0.975571 0.219684i \(-0.0705028\pi\)
\(314\) 3.02964 + 1.21110i 0.170972 + 0.0683466i
\(315\) −3.37499 9.87741i −0.190159 0.556529i
\(316\) 32.3597 12.2325i 1.82038 0.688129i
\(317\) 7.45847 9.35262i 0.418909 0.525296i −0.526940 0.849903i \(-0.676661\pi\)
0.945849 + 0.324607i \(0.105232\pi\)
\(318\) −0.624310 9.09895i −0.0350095 0.510244i
\(319\) 1.30336 2.70645i 0.0729740 0.151532i
\(320\) 23.9155 + 20.5961i 1.33692 + 1.15136i
\(321\) 13.5166 + 10.7791i 0.754420 + 0.601630i
\(322\) 1.32445 4.68622i 0.0738085 0.261153i
\(323\) −4.89548 + 3.90401i −0.272392 + 0.217225i
\(324\) −1.02172 + 1.71933i −0.0567624 + 0.0955181i
\(325\) 43.9668i 2.43884i
\(326\) −27.1482 10.8526i −1.50360 0.601067i
\(327\) −0.396050 1.73521i −0.0219016 0.0959573i
\(328\) −1.02760 + 2.03465i −0.0567397 + 0.112345i
\(329\) 21.2576 + 2.55349i 1.17197 + 0.140778i
\(330\) 2.23387 + 1.54371i 0.122970 + 0.0849785i
\(331\) −14.2131 + 11.3346i −0.781222 + 0.623004i −0.930709 0.365760i \(-0.880809\pi\)
0.149487 + 0.988764i \(0.452238\pi\)
\(332\) −0.959974 + 10.9573i −0.0526854 + 0.601359i
\(333\) −2.12209 9.29749i −0.116290 0.509499i
\(334\) 0.928261 + 13.5289i 0.0507922 + 0.740266i
\(335\) 5.06177 22.1771i 0.276554 1.21166i
\(336\) −0.739403 + 10.5571i −0.0403378 + 0.575939i
\(337\) −6.91159 30.2816i −0.376498 1.64955i −0.708089 0.706123i \(-0.750443\pi\)
0.331591 0.943423i \(-0.392415\pi\)
\(338\) 5.84801 1.76364i 0.318090 0.0959294i
\(339\) −9.47945 + 11.8869i −0.514853 + 0.645605i
\(340\) −28.3505 26.9774i −1.53752 1.46305i
\(341\) 0.310119 + 0.643970i 0.0167939 + 0.0348729i
\(342\) −0.882952 1.55179i −0.0477446 0.0839113i
\(343\) 2.47881 18.3536i 0.133843 0.991003i
\(344\) 0.545490 28.8867i 0.0294109 1.55747i
\(345\) −4.62624 + 2.22788i −0.249068 + 0.119945i
\(346\) −7.76292 25.7408i −0.417337 1.38384i
\(347\) 22.8895 + 18.2538i 1.22877 + 0.979914i 0.999979 + 0.00643910i \(0.00204964\pi\)
0.228794 + 0.973475i \(0.426522\pi\)
\(348\) −8.94287 8.50974i −0.479388 0.456170i
\(349\) 1.49584 0.341417i 0.0800707 0.0182756i −0.182298 0.983243i \(-0.558354\pi\)
0.262369 + 0.964968i \(0.415496\pi\)
\(350\) −2.01683 + 39.4785i −0.107804 + 2.11021i
\(351\) 4.05728 + 0.926049i 0.216562 + 0.0494288i
\(352\) −1.47852 2.32236i −0.0788052 0.123782i
\(353\) −32.2813 + 7.36800i −1.71816 + 0.392159i −0.964287 0.264861i \(-0.914674\pi\)
−0.753874 + 0.657020i \(0.771817\pi\)
\(354\) 1.29111 + 0.892219i 0.0686217 + 0.0474209i
\(355\) −9.88376 12.3938i −0.524576 0.657797i
\(356\) −28.4418 2.49180i −1.50741 0.132065i
\(357\) 1.56502 13.0286i 0.0828294 0.689548i
\(358\) 4.28326 0.293889i 0.226378 0.0155325i
\(359\) −13.4995 + 3.08118i −0.712477 + 0.162618i −0.563372 0.826203i \(-0.690496\pi\)
−0.149105 + 0.988821i \(0.547639\pi\)
\(360\) 8.85410 6.79143i 0.466652 0.357940i
\(361\) −17.4062 −0.916114
\(362\) 17.2680 9.82530i 0.907586 0.516406i
\(363\) 6.71071 + 8.41497i 0.352221 + 0.441671i
\(364\) 21.3803 5.27435i 1.12063 0.276451i
\(365\) −36.0358 + 45.1875i −1.88620 + 2.36522i
\(366\) 1.27147 8.08985i 0.0664609 0.422863i
\(367\) 24.4659 + 11.7821i 1.27711 + 0.615023i 0.944645 0.328093i \(-0.106406\pi\)
0.332463 + 0.943116i \(0.392120\pi\)
\(368\) 5.19961 0.258240i 0.271049 0.0134617i
\(369\) 0.630075 + 0.502468i 0.0328004 + 0.0261574i
\(370\) −8.26129 + 52.5632i −0.429484 + 2.73263i
\(371\) −16.1461 + 5.51692i −0.838263 + 0.286424i
\(372\) 2.90975 0.401184i 0.150863 0.0208004i
\(373\) 8.11851 0.420361 0.210180 0.977663i \(-0.432595\pi\)
0.210180 + 0.977663i \(0.432595\pi\)
\(374\) 1.68818 + 2.96698i 0.0872935 + 0.153419i
\(375\) 17.1647 13.6884i 0.886382 0.706866i
\(376\) 4.67099 + 22.4070i 0.240888 + 1.15555i
\(377\) −11.1451 + 23.1431i −0.574004 + 1.19193i
\(378\) 3.60062 + 1.01763i 0.185196 + 0.0523411i
\(379\) −1.47164 3.05588i −0.0755928 0.156970i 0.859747 0.510719i \(-0.170621\pi\)
−0.935340 + 0.353749i \(0.884907\pi\)
\(380\) 1.36057 + 9.86811i 0.0697960 + 0.506224i
\(381\) −1.49548 3.10540i −0.0766157 0.159094i
\(382\) −12.5524 13.7002i −0.642235 0.700962i
\(383\) −2.98516 1.43758i −0.152534 0.0734567i 0.356059 0.934463i \(-0.384120\pi\)
−0.508594 + 0.861007i \(0.669834\pi\)
\(384\) −10.9475 + 2.85539i −0.558660 + 0.145714i
\(385\) 1.71300 4.78245i 0.0873027 0.243736i
\(386\) −5.70338 + 5.22555i −0.290294 + 0.265973i
\(387\) −9.95871 2.27301i −0.506230 0.115544i
\(388\) 6.72581 2.54246i 0.341451 0.129074i
\(389\) −3.05499 + 13.3848i −0.154894 + 0.678636i 0.836526 + 0.547927i \(0.184583\pi\)
−0.991421 + 0.130710i \(0.958274\pi\)
\(390\) −19.1020 13.2004i −0.967269 0.668429i
\(391\) −6.45515 −0.326451
\(392\) 19.4396 3.75517i 0.981849 0.189665i
\(393\) −0.988893 −0.0498831
\(394\) 6.30638 + 4.35801i 0.317711 + 0.219553i
\(395\) −15.1852 + 66.5307i −0.764051 + 3.34752i
\(396\) −0.910475 + 0.344173i −0.0457531 + 0.0172954i
\(397\) −13.8667 3.16498i −0.695949 0.158846i −0.140110 0.990136i \(-0.544746\pi\)
−0.555839 + 0.831290i \(0.687603\pi\)
\(398\) 19.6617 18.0144i 0.985551 0.902981i
\(399\) −2.37916 + 2.34445i −0.119107 + 0.117369i
\(400\) −40.6826 + 11.4357i −2.03413 + 0.571784i
\(401\) −1.13160 0.544952i −0.0565096 0.0272136i 0.405416 0.914133i \(-0.367127\pi\)
−0.461925 + 0.886919i \(0.652841\pi\)
\(402\) 5.50844 + 6.01214i 0.274736 + 0.299858i
\(403\) −2.65186 5.50665i −0.132099 0.274306i
\(404\) −2.57835 18.7005i −0.128278 0.930385i
\(405\) −1.71177 3.55453i −0.0850585 0.176626i
\(406\) −11.0690 + 20.2693i −0.549345 + 1.00595i
\(407\) 2.01376 4.18162i 0.0998184 0.207275i
\(408\) 13.7331 2.86282i 0.679890 0.141731i
\(409\) 3.43363 2.73823i 0.169782 0.135397i −0.534912 0.844908i \(-0.679655\pi\)
0.704695 + 0.709511i \(0.251084\pi\)
\(410\) −2.22365 3.90808i −0.109818 0.193006i
\(411\) −18.2225 −0.898849
\(412\) −27.8854 + 3.84472i −1.37381 + 0.189416i
\(413\) 0.990065 2.76412i 0.0487179 0.136013i
\(414\) 0.285778 1.81829i 0.0140452 0.0893639i
\(415\) −16.9636 13.5280i −0.832711 0.664065i
\(416\) 12.6429 + 19.8587i 0.619871 + 0.973653i
\(417\) −10.9152 5.25648i −0.534519 0.257411i
\(418\) 0.134910 0.858378i 0.00659868 0.0419847i
\(419\) −10.1665 + 12.7483i −0.496664 + 0.622797i −0.965473 0.260502i \(-0.916112\pi\)
0.468809 + 0.883300i \(0.344683\pi\)
\(420\) −16.5465 12.7291i −0.807385 0.621116i
\(421\) −3.44855 4.32435i −0.168072 0.210756i 0.690661 0.723178i \(-0.257320\pi\)
−0.858733 + 0.512423i \(0.828748\pi\)
\(422\) 28.5196 16.2273i 1.38831 0.789935i
\(423\) 8.09238 0.393465
\(424\) −11.1016 14.4733i −0.539141 0.702887i
\(425\) 51.0852 11.6599i 2.47800 0.565587i
\(426\) 5.66912 0.388978i 0.274670 0.0188460i
\(427\) −15.2364 + 1.60343i −0.737340 + 0.0775954i
\(428\) 34.4447 + 3.01772i 1.66495 + 0.145867i
\(429\) 1.26280 + 1.58350i 0.0609684 + 0.0764520i
\(430\) 46.8864 + 32.4007i 2.26106 + 1.56250i
\(431\) 26.8429 6.12673i 1.29298 0.295114i 0.479929 0.877307i \(-0.340662\pi\)
0.813050 + 0.582193i \(0.197805\pi\)
\(432\) 0.198416 + 3.99508i 0.00954631 + 0.192213i
\(433\) 9.19233 + 2.09809i 0.441755 + 0.100828i 0.437613 0.899164i \(-0.355824\pi\)
0.00414277 + 0.999991i \(0.498681\pi\)
\(434\) −2.12855 5.06614i −0.102173 0.243183i
\(435\) 23.7407 5.41866i 1.13828 0.259805i
\(436\) −2.57874 2.45384i −0.123499 0.117518i
\(437\) 1.28464 + 1.02446i 0.0614525 + 0.0490067i
\(438\) −5.98201 19.8356i −0.285832 0.947781i
\(439\) 21.0168 10.1212i 1.00308 0.483057i 0.141096 0.989996i \(-0.454937\pi\)
0.861982 + 0.506939i \(0.169223\pi\)
\(440\) 5.42976 + 0.102534i 0.258854 + 0.00488814i
\(441\) 0.102878 6.99924i 0.00489897 0.333297i
\(442\) −14.4358 25.3709i −0.686639 1.20677i
\(443\) −9.55931 19.8501i −0.454176 0.943107i −0.994801 0.101843i \(-0.967526\pi\)
0.540624 0.841264i \(-0.318188\pi\)
\(444\) −13.8172 13.1480i −0.655737 0.623977i
\(445\) 35.1147 44.0324i 1.66460 2.08734i
\(446\) −21.2327 + 6.40335i −1.00540 + 0.303207i
\(447\) −1.59320 6.98026i −0.0753557 0.330155i
\(448\) 10.4413 + 18.4114i 0.493307 + 0.869856i
\(449\) 9.07246 39.7490i 0.428156 1.87587i −0.0519288 0.998651i \(-0.516537\pi\)
0.480085 0.877222i \(-0.340606\pi\)
\(450\) 1.02274 + 14.9059i 0.0482125 + 0.702670i
\(451\) 0.0872752 + 0.382378i 0.00410963 + 0.0180055i
\(452\) −2.65387 + 30.2917i −0.124828 + 1.42480i
\(453\) 14.3752 11.4638i 0.675406 0.538619i
\(454\) −6.18224 4.27222i −0.290147 0.200505i
\(455\) −14.6481 + 40.8952i −0.686711 + 1.91720i
\(456\) −3.18736 1.60978i −0.149262 0.0753849i
\(457\) 5.51778 + 24.1750i 0.258111 + 1.13086i 0.923269 + 0.384155i \(0.125507\pi\)
−0.665158 + 0.746703i \(0.731636\pi\)
\(458\) −28.7650 11.4989i −1.34410 0.537307i
\(459\) 4.95976i 0.231502i
\(460\) −5.24627 + 8.82828i −0.244609 + 0.411621i
\(461\) 22.7659 18.1552i 1.06031 0.845572i 0.0719082 0.997411i \(-0.477091\pi\)
0.988405 + 0.151840i \(0.0485197\pi\)
\(462\) 1.06125 + 1.47977i 0.0493737 + 0.0688452i
\(463\) 16.0344 + 12.7870i 0.745180 + 0.594262i 0.920726 0.390210i \(-0.127598\pi\)
−0.175546 + 0.984471i \(0.556169\pi\)
\(464\) −24.3132 4.29314i −1.12871 0.199304i
\(465\) −2.51397 + 5.22031i −0.116583 + 0.242086i
\(466\) −0.363708 5.30083i −0.0168484 0.245556i
\(467\) −1.47883 + 1.85440i −0.0684323 + 0.0858113i −0.814869 0.579645i \(-0.803191\pi\)
0.746437 + 0.665456i \(0.231763\pi\)
\(468\) 7.78556 2.94306i 0.359887 0.136043i
\(469\) 8.21078 12.8567i 0.379138 0.593666i
\(470\) −41.9248 16.7596i −1.93385 0.773061i
\(471\) 2.30711i 0.106306i
\(472\) 3.13824 + 0.0592619i 0.144449 + 0.00272775i
\(473\) −3.09957 3.88673i −0.142518 0.178712i
\(474\) −16.5252 18.0363i −0.759029 0.828435i
\(475\) −12.0169 5.78705i −0.551374 0.265528i
\(476\) −11.7983 23.4431i −0.540773 1.07451i
\(477\) −5.81040 + 2.79814i −0.266040 + 0.128118i
\(478\) −9.33109 3.73013i −0.426794 0.170612i
\(479\) −4.95680 + 2.38707i −0.226482 + 0.109068i −0.543684 0.839290i \(-0.682971\pi\)
0.317202 + 0.948358i \(0.397257\pi\)
\(480\) 7.24597 21.1085i 0.330732 0.963468i
\(481\) −17.2199 + 35.7574i −0.785158 + 1.63040i
\(482\) −3.31684 10.9982i −0.151078 0.500955i
\(483\) −3.42455 + 0.360389i −0.155822 + 0.0163983i
\(484\) 20.4884 + 6.60340i 0.931293 + 0.300155i
\(485\) −3.15617 + 13.8281i −0.143314 + 0.627901i
\(486\) 1.39706 + 0.219575i 0.0633721 + 0.00996011i
\(487\) 9.95959 + 2.27321i 0.451312 + 0.103009i 0.442134 0.896949i \(-0.354221\pi\)
0.00917788 + 0.999958i \(0.497079\pi\)
\(488\) −6.82641 14.8879i −0.309017 0.673943i
\(489\) 20.6737i 0.934896i
\(490\) −15.0286 + 36.0485i −0.678924 + 1.62850i
\(491\) 27.1990i 1.22747i 0.789510 + 0.613737i \(0.210335\pi\)
−0.789510 + 0.613737i \(0.789665\pi\)
\(492\) 1.60564 + 0.140671i 0.0723879 + 0.00634195i
\(493\) 29.8457 + 6.81209i 1.34418 + 0.306801i
\(494\) −1.15363 + 7.34007i −0.0519043 + 0.330245i
\(495\) 0.427252 1.87191i 0.0192036 0.0841363i
\(496\) 4.40557 3.88604i 0.197816 0.174488i
\(497\) −3.43733 10.0599i −0.154185 0.451246i
\(498\) 7.44638 2.24568i 0.333680 0.100631i
\(499\) −17.7260 + 36.8083i −0.793523 + 1.64777i −0.0321234 + 0.999484i \(0.510227\pi\)
−0.761399 + 0.648283i \(0.775487\pi\)
\(500\) 13.4695 41.7920i 0.602375 1.86900i
\(501\) 8.63925 4.16044i 0.385973 0.185875i
\(502\) −1.06033 + 2.65248i −0.0473250 + 0.118386i
\(503\) −16.8855 + 8.13161i −0.752885 + 0.362570i −0.770639 0.637272i \(-0.780063\pi\)
0.0177537 + 0.999842i \(0.494349\pi\)
\(504\) 7.12577 2.28548i 0.317407 0.101803i
\(505\) 33.5502 + 16.1569i 1.49296 + 0.718973i
\(506\) 0.660476 0.605141i 0.0293617 0.0269018i
\(507\) −2.69293 3.37682i −0.119597 0.149970i
\(508\) −5.92605 3.52160i −0.262926 0.156246i
\(509\) 12.8302i 0.568688i 0.958722 + 0.284344i \(0.0917757\pi\)
−0.958722 + 0.284344i \(0.908224\pi\)
\(510\) −10.2718 + 25.6954i −0.454843 + 1.13781i
\(511\) −32.9695 + 20.3797i −1.45849 + 0.901546i
\(512\) −15.0869 + 16.8637i −0.666753 + 0.745279i
\(513\) −0.787138 + 0.987039i −0.0347530 + 0.0435788i
\(514\) 9.95495 0.683043i 0.439094 0.0301277i
\(515\) 24.0925 50.0285i 1.06164 2.20452i
\(516\) −19.1098 + 7.22381i −0.841264 + 0.318011i
\(517\) 3.07915 + 2.45554i 0.135421 + 0.107994i
\(518\) −17.1022 + 31.3172i −0.751428 + 1.37600i
\(519\) −14.8636 + 11.8533i −0.652439 + 0.520303i
\(520\) −46.4304 0.876782i −2.03611 0.0384494i
\(521\) 21.6112i 0.946802i −0.880847 0.473401i \(-0.843026\pi\)
0.880847 0.473401i \(-0.156974\pi\)
\(522\) −3.24014 + 8.10536i −0.141817 + 0.354762i
\(523\) 2.90380 + 12.7224i 0.126974 + 0.556310i 0.997893 + 0.0648831i \(0.0206674\pi\)
−0.870919 + 0.491427i \(0.836475\pi\)
\(524\) −1.64802 + 1.09347i −0.0719940 + 0.0477684i
\(525\) 26.4505 9.03780i 1.15439 0.394442i
\(526\) 19.8507 28.7255i 0.865532 1.25249i
\(527\) −5.69493 + 4.54155i −0.248075 + 0.197833i
\(528\) −1.13676 + 1.58033i −0.0494712 + 0.0687752i
\(529\) −4.74105 20.7719i −0.206133 0.903126i
\(530\) 35.8974 2.46304i 1.55929 0.106988i
\(531\) 0.246939 1.08191i 0.0107162 0.0469509i
\(532\) −1.37256 + 6.53784i −0.0595081 + 0.283451i
\(533\) −0.746299 3.26975i −0.0323258 0.141629i
\(534\) 5.82911 + 19.3286i 0.252250 + 0.836430i
\(535\) −42.5260 + 53.3259i −1.83856 + 2.30548i
\(536\) 15.8279 + 3.92844i 0.683661 + 0.169683i
\(537\) −1.31720 2.73520i −0.0568416 0.118033i
\(538\) −9.59142 + 5.45741i −0.413515 + 0.235286i
\(539\) 2.16299 2.63199i 0.0931664 0.113368i
\(540\) −6.78313 4.03093i −0.291900 0.173464i
\(541\) −10.6254 + 5.11694i −0.456823 + 0.219994i −0.648121 0.761538i \(-0.724445\pi\)
0.191298 + 0.981532i \(0.438730\pi\)
\(542\) −35.6202 + 10.7423i −1.53002 + 0.461423i
\(543\) −10.9836 8.75909i −0.471349 0.375889i
\(544\) 19.7210 19.9564i 0.845532 0.855621i
\(545\) 6.84580 1.56251i 0.293242 0.0669305i
\(546\) −9.07482 12.6537i −0.388366 0.541527i
\(547\) 4.06595 + 0.928027i 0.173848 + 0.0396796i 0.308558 0.951205i \(-0.400153\pi\)
−0.134711 + 0.990885i \(0.543011\pi\)
\(548\) −30.3683 + 20.1495i −1.29727 + 0.860745i
\(549\) −5.64542 + 1.28853i −0.240941 + 0.0549932i
\(550\) −4.13386 + 5.98202i −0.176268 + 0.255074i
\(551\) −4.85847 6.09233i −0.206978 0.259542i
\(552\) −1.53431 3.34622i −0.0653047 0.142425i
\(553\) −24.6322 + 38.5698i −1.04747 + 1.64015i
\(554\) −1.30590 19.0327i −0.0554822 0.808621i
\(555\) 36.6807 8.37213i 1.55701 0.355377i
\(556\) −24.0028 + 3.30941i −1.01795 + 0.140350i
\(557\) −4.99764 −0.211757 −0.105878 0.994379i \(-0.533765\pi\)
−0.105878 + 0.994379i \(0.533765\pi\)
\(558\) −1.02714 1.80521i −0.0434824 0.0764205i
\(559\) 26.5047 + 33.2358i 1.12103 + 1.40573i
\(560\) −41.6503 2.91711i −1.76005 0.123271i
\(561\) 1.50498 1.88719i 0.0635404 0.0796771i
\(562\) −4.17551 0.656259i −0.176133 0.0276826i
\(563\) −23.1339 11.1407i −0.974980 0.469525i −0.122604 0.992456i \(-0.539125\pi\)
−0.852376 + 0.522930i \(0.824839\pi\)
\(564\) 13.4862 8.94815i 0.567870 0.376785i
\(565\) −46.8964 37.3986i −1.97294 1.57337i
\(566\) −17.3283 2.72347i −0.728364 0.114476i
\(567\) −0.276902 2.63122i −0.0116288 0.110501i
\(568\) 9.01764 6.91688i 0.378372 0.290226i
\(569\) 41.5754 1.74293 0.871465 0.490458i \(-0.163170\pi\)
0.871465 + 0.490458i \(0.163170\pi\)
\(570\) 6.12217 3.48345i 0.256430 0.145906i
\(571\) −21.8240 + 17.4040i −0.913305 + 0.728337i −0.962737 0.270441i \(-0.912831\pi\)
0.0494312 + 0.998778i \(0.484259\pi\)
\(572\) 3.85544 + 1.24260i 0.161204 + 0.0519559i
\(573\) −5.70072 + 11.8377i −0.238151 + 0.494526i
\(574\) −0.520124 2.97019i −0.0217096 0.123973i
\(575\) −5.96598 12.3885i −0.248798 0.516635i
\(576\) 4.74822 + 6.43851i 0.197843 + 0.268271i
\(577\) −10.9482 22.7343i −0.455781 0.946439i −0.994577 0.104003i \(-0.966835\pi\)
0.538796 0.842436i \(-0.318879\pi\)
\(578\) −7.92390 + 7.26003i −0.329591 + 0.301978i
\(579\) 4.92801 + 2.37321i 0.204801 + 0.0986271i
\(580\) 33.5729 35.2817i 1.39404 1.46499i
\(581\) −7.65066 12.3769i −0.317403 0.513482i
\(582\) −3.43469 3.74876i −0.142372 0.155391i
\(583\) −3.05992 0.698407i −0.126729 0.0289251i
\(584\) −31.9024 26.4420i −1.32013 1.09418i
\(585\) −3.65347 + 16.0069i −0.151053 + 0.661804i
\(586\) 5.58161 8.07702i 0.230574 0.333659i
\(587\) 39.8734 1.64575 0.822875 0.568223i \(-0.192369\pi\)
0.822875 + 0.568223i \(0.192369\pi\)
\(588\) −7.56797 11.7782i −0.312098 0.485725i
\(589\) 1.85411 0.0763973
\(590\) −3.52001 + 5.09372i −0.144916 + 0.209705i
\(591\) 1.20616 5.28455i 0.0496150 0.217378i
\(592\) −37.5652 6.63314i −1.54392 0.272620i
\(593\) 7.31927 + 1.67058i 0.300566 + 0.0686023i 0.370144 0.928974i \(-0.379308\pi\)
−0.0695781 + 0.997577i \(0.522165\pi\)
\(594\) 0.464955 + 0.507471i 0.0190773 + 0.0208218i
\(595\) 51.4009 + 6.17434i 2.10723 + 0.253123i
\(596\) −10.3735 9.87111i −0.424916 0.404337i
\(597\) −16.9887 8.18133i −0.695301 0.334840i
\(598\) −5.64779 + 5.17462i −0.230955 + 0.211606i
\(599\) −6.77195 14.0621i −0.276694 0.574562i 0.715593 0.698517i \(-0.246156\pi\)
−0.992288 + 0.123955i \(0.960442\pi\)
\(600\) 18.1866 + 23.7102i 0.742465 + 0.967963i
\(601\) 5.39703 + 11.2070i 0.220149 + 0.457145i 0.981567 0.191116i \(-0.0612107\pi\)
−0.761418 + 0.648261i \(0.775496\pi\)
\(602\) 22.2744 + 31.0588i 0.907836 + 1.26586i
\(603\) 2.50168 5.19480i 0.101876 0.211549i
\(604\) 11.2805 35.0002i 0.458998 1.42414i
\(605\) −33.1990 + 26.4753i −1.34973 + 1.07637i
\(606\) −11.6018 + 6.60129i −0.471291 + 0.268159i
\(607\) −3.42482 −0.139009 −0.0695047 0.997582i \(-0.522142\pi\)
−0.0695047 + 0.997582i \(0.522142\pi\)
\(608\) −7.09184 + 0.841681i −0.287612 + 0.0341347i
\(609\) 16.2139 + 1.94763i 0.657020 + 0.0789221i
\(610\) 31.9163 + 5.01624i 1.29225 + 0.203102i
\(611\) −26.3301 20.9975i −1.06520 0.849470i
\(612\) −5.48426 8.26558i −0.221688 0.334116i
\(613\) −4.55139 2.19183i −0.183829 0.0885274i 0.339706 0.940532i \(-0.389673\pi\)
−0.523534 + 0.852004i \(0.675387\pi\)
\(614\) −15.3231 2.40831i −0.618389 0.0971914i
\(615\) −1.98235 + 2.48579i −0.0799361 + 0.100237i
\(616\) 3.40486 + 1.29261i 0.137186 + 0.0520807i
\(617\) 1.35133 + 1.69452i 0.0544025 + 0.0682186i 0.808288 0.588787i \(-0.200394\pi\)
−0.753886 + 0.657005i \(0.771823\pi\)
\(618\) 9.84355 + 17.3001i 0.395966 + 0.695912i
\(619\) 45.4088 1.82513 0.912566 0.408930i \(-0.134098\pi\)
0.912566 + 0.408930i \(0.134098\pi\)
\(620\) 1.58276 + 11.4796i 0.0635652 + 0.461032i
\(621\) −1.26887 + 0.289612i −0.0509181 + 0.0116217i
\(622\) −0.700138 10.2041i −0.0280730 0.409148i
\(623\) 32.1268 19.8588i 1.28713 0.795627i
\(624\) 9.72056 13.5136i 0.389134 0.540976i
\(625\) 21.0686 + 26.4192i 0.842743 + 1.05677i
\(626\) −6.24962 + 9.04369i −0.249785 + 0.361459i
\(627\) −0.599011 + 0.136720i −0.0239222 + 0.00546009i
\(628\) −2.55108 3.84486i −0.101799 0.153426i
\(629\) 46.1133 + 10.5251i 1.83866 + 0.419662i
\(630\) −4.01477 + 14.2053i −0.159952 + 0.565951i
\(631\) −22.9974 + 5.24901i −0.915512 + 0.208960i −0.654224 0.756301i \(-0.727005\pi\)
−0.261288 + 0.965261i \(0.584147\pi\)
\(632\) −47.4834 11.7852i −1.88879 0.468792i
\(633\) −18.1403 14.4664i −0.721012 0.574988i
\(634\) −16.1969 + 4.88467i −0.643262 + 0.193995i
\(635\) 12.2515 5.90001i 0.486186 0.234135i
\(636\) −6.58915 + 11.0880i −0.261277 + 0.439669i
\(637\) −18.4959 + 22.5064i −0.732834 + 0.891737i
\(638\) −3.69235 + 2.10090i −0.146181 + 0.0831756i
\(639\) −1.74339 3.62018i −0.0689674 0.143212i
\(640\) −11.2652 43.1902i −0.445295 1.70724i
\(641\) 9.17682 11.5074i 0.362463 0.454514i −0.566843 0.823826i \(-0.691835\pi\)
0.929305 + 0.369312i \(0.120407\pi\)
\(642\) −7.05939 23.4081i −0.278612 0.923842i
\(643\) −4.95656 21.7161i −0.195468 0.856400i −0.973593 0.228291i \(-0.926686\pi\)
0.778125 0.628109i \(-0.216171\pi\)
\(644\) −5.30861 + 4.38729i −0.209188 + 0.172884i
\(645\) 8.96754 39.2894i 0.353097 1.54702i
\(646\) 8.83440 0.606158i 0.347585 0.0238490i
\(647\) −9.27536 40.6380i −0.364652 1.59765i −0.741224 0.671258i \(-0.765754\pi\)
0.376572 0.926387i \(-0.377103\pi\)
\(648\) 2.57104 1.17888i 0.101000 0.0463106i
\(649\) 0.422254 0.336736i 0.0165749 0.0132180i
\(650\) 35.3490 51.1528i 1.38650 2.00638i
\(651\) −2.76768 + 2.72730i −0.108474 + 0.106891i
\(652\) 22.8599 + 34.4533i 0.895264 + 1.34929i
\(653\) −0.444252 1.94640i −0.0173849 0.0761683i 0.965491 0.260435i \(-0.0838661\pi\)
−0.982876 + 0.184267i \(0.941009\pi\)
\(654\) −0.934316 + 2.33724i −0.0365346 + 0.0913931i
\(655\) 3.90141i 0.152441i
\(656\) 2.83139 1.54101i 0.110547 0.0601662i
\(657\) −11.4537 + 9.13402i −0.446851 + 0.356352i
\(658\) −22.6790 20.0618i −0.884119 0.782091i
\(659\) −0.189703 0.151283i −0.00738980 0.00589317i 0.619788 0.784769i \(-0.287219\pi\)
−0.627178 + 0.778876i \(0.715790\pi\)
\(660\) −1.35784 3.59203i −0.0528539 0.139820i
\(661\) 6.24063 12.9588i 0.242732 0.504039i −0.743637 0.668583i \(-0.766901\pi\)
0.986370 + 0.164544i \(0.0526154\pi\)
\(662\) 25.6490 1.75986i 0.996877 0.0683991i
\(663\) −12.8692 + 16.1375i −0.499800 + 0.626729i
\(664\) 9.92645 11.9763i 0.385221 0.464772i
\(665\) −9.24937 9.38632i −0.358675 0.363986i
\(666\) −5.00619 + 12.5232i −0.193986 + 0.485265i
\(667\) 8.03332i 0.311051i
\(668\) 9.79714 16.4863i 0.379063 0.637876i
\(669\) 9.77737 + 12.2604i 0.378015 + 0.474016i
\(670\) −23.7193 + 21.7321i −0.916355 + 0.839583i
\(671\) −2.53907 1.22275i −0.0980198 0.0472039i
\(672\) 9.34812 11.6881i 0.360612 0.450880i
\(673\) −17.6721 + 8.51045i −0.681211 + 0.328054i −0.742290 0.670079i \(-0.766260\pi\)
0.0610789 + 0.998133i \(0.480546\pi\)
\(674\) −16.3050 + 40.7878i −0.628046 + 1.57109i
\(675\) 9.51858 4.58391i 0.366370 0.176435i
\(676\) −8.22177 2.64987i −0.316222 0.101918i
\(677\) 12.5278 26.0143i 0.481484 0.999811i −0.508818 0.860874i \(-0.669917\pi\)
0.990301 0.138937i \(-0.0443685\pi\)
\(678\) 20.5857 6.20824i 0.790590 0.238426i
\(679\) −5.11968 + 8.01654i −0.196475 + 0.307646i
\(680\) 11.2945 + 54.1802i 0.433123 + 2.07772i
\(681\) −1.18242 + 5.18052i −0.0453105 + 0.198518i
\(682\) 0.156942 0.998555i 0.00600961 0.0382366i
\(683\) −36.7231 8.38181i −1.40517 0.320721i −0.548313 0.836273i \(-0.684730\pi\)
−0.856858 + 0.515552i \(0.827587\pi\)
\(684\) −0.220368 + 2.51531i −0.00842597 + 0.0961751i
\(685\) 71.8919i 2.74685i
\(686\) −17.6401 + 19.3604i −0.673504 + 0.739184i
\(687\) 21.9049i 0.835724i
\(688\) −23.8594 + 33.1694i −0.909630 + 1.26457i
\(689\) 26.1657 + 5.97214i 0.996832 + 0.227520i
\(690\) 7.17355 + 1.12746i 0.273092 + 0.0429216i
\(691\) −10.6364 + 46.6012i −0.404629 + 1.77279i 0.203622 + 0.979050i \(0.434729\pi\)
−0.608251 + 0.793745i \(0.708129\pi\)
\(692\) −11.6638 + 36.1893i −0.443390 + 1.37571i
\(693\) 0.693053 1.08520i 0.0263269 0.0412234i
\(694\) −11.9547 39.6402i −0.453793 1.50472i
\(695\) 20.7380 43.0629i 0.786637 1.63347i
\(696\) 3.56272 + 17.0906i 0.135045 + 0.647817i
\(697\) −3.60122 + 1.73426i −0.136406 + 0.0656896i
\(698\) −2.01482 0.805430i −0.0762622 0.0304860i
\(699\) −3.38500 + 1.63013i −0.128033 + 0.0616572i
\(700\) 34.0869 44.3093i 1.28836 1.67474i
\(701\) 15.9593 + 7.68557i 0.602773 + 0.290280i 0.710275 0.703925i \(-0.248571\pi\)
−0.107502 + 0.994205i \(0.534285\pi\)
\(702\) −3.97587 4.33943i −0.150060 0.163781i
\(703\) −7.50661 9.41299i −0.283117 0.355018i
\(704\) −0.146993 + 3.89064i −0.00553999 + 0.146634i
\(705\) 31.9263i 1.20241i
\(706\) 43.4812 + 17.3817i 1.63644 + 0.654170i
\(707\) 17.5280 + 17.7875i 0.659207 + 0.668968i
\(708\) −0.784792 2.07609i −0.0294943 0.0780241i
\(709\) −4.07602 + 5.11117i −0.153078 + 0.191954i −0.852457 0.522797i \(-0.824889\pi\)
0.699379 + 0.714751i \(0.253460\pi\)
\(710\) 1.53461 + 22.3660i 0.0575927 + 0.839380i
\(711\) −7.50501 + 15.5843i −0.281460 + 0.584457i
\(712\) 31.0870 + 25.7661i 1.16503 + 0.965625i
\(713\) 1.49442 + 1.19176i 0.0559666 + 0.0446318i
\(714\) −12.2957 + 13.8998i −0.460156 + 0.520186i
\(715\) −6.24726 + 4.98202i −0.233634 + 0.186317i
\(716\) −5.21961 3.10179i −0.195066 0.115919i
\(717\) 7.10574i 0.265369i
\(718\) 18.1831 + 7.26875i 0.678588 + 0.271267i
\(719\) 3.52189 + 15.4304i 0.131344 + 0.575458i 0.997175 + 0.0751195i \(0.0239338\pi\)
−0.865830 + 0.500338i \(0.833209\pi\)
\(720\) −15.7615 + 0.782798i −0.587396 + 0.0291731i
\(721\) 26.5239 26.1370i 0.987803 0.973391i
\(722\) 20.2510 + 13.9944i 0.753666 + 0.520819i
\(723\) −6.35072 + 5.06453i −0.236186 + 0.188352i
\(724\) −27.9898 2.45220i −1.04023 0.0911354i
\(725\) 14.5105 + 63.5746i 0.538906 + 2.36110i
\(726\) −1.04194 15.1857i −0.0386700 0.563594i
\(727\) 4.18546 18.3377i 0.155230 0.680108i −0.836085 0.548600i \(-0.815161\pi\)
0.991315 0.131508i \(-0.0419818\pi\)
\(728\) −29.1152 11.0532i −1.07908 0.409659i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) 78.2559 23.6004i 2.89638 0.873490i
\(731\) 31.5879 39.6100i 1.16832 1.46503i
\(732\) −7.98346 + 8.38980i −0.295077 + 0.310096i
\(733\) −3.82154 7.93551i −0.141152 0.293105i 0.818394 0.574658i \(-0.194865\pi\)
−0.959546 + 0.281553i \(0.909150\pi\)
\(734\) −18.9918 33.3782i −0.701002 1.23201i
\(735\) 27.6136 + 0.405879i 1.01854 + 0.0149711i
\(736\) −6.25706 3.88001i −0.230638 0.143019i
\(737\) 2.52819 1.21751i 0.0931272 0.0448477i
\(738\) −0.329074 1.09117i −0.0121134 0.0401664i
\(739\) −8.42770 6.72086i −0.310018 0.247231i 0.456104 0.889927i \(-0.349245\pi\)
−0.766122 + 0.642696i \(0.777816\pi\)
\(740\) 51.8719 54.5121i 1.90685 2.00391i
\(741\) 5.12220 1.16911i 0.188169 0.0429483i
\(742\) 23.2206 + 6.56274i 0.852454 + 0.240926i
\(743\) 36.8536 + 8.41160i 1.35203 + 0.308592i 0.836352 0.548192i \(-0.184684\pi\)
0.515676 + 0.856784i \(0.327541\pi\)
\(744\) −3.70787 1.87266i −0.135937 0.0686552i
\(745\) 27.5387 6.28553i 1.00894 0.230284i
\(746\) −9.44541 6.52723i −0.345821 0.238979i
\(747\) −3.42896 4.29978i −0.125459 0.157321i
\(748\) 0.421336 4.80919i 0.0154056 0.175841i
\(749\) −38.9075 + 24.0502i −1.42165 + 0.878775i
\(750\) −30.9755 + 2.12533i −1.13107 + 0.0776062i
\(751\) 5.22211 1.19191i 0.190558 0.0434935i −0.126177 0.992008i \(-0.540271\pi\)
0.316735 + 0.948514i \(0.397414\pi\)
\(752\) 12.5807 29.8247i 0.458770 1.08759i
\(753\) 2.01989 0.0736090
\(754\) 31.5736 17.9650i 1.14984 0.654248i
\(755\) 45.2275 + 56.7135i 1.64600 + 2.06401i
\(756\) −3.37094 4.07882i −0.122600 0.148345i
\(757\) −11.6979 + 14.6687i −0.425167 + 0.533143i −0.947567 0.319558i \(-0.896465\pi\)
0.522400 + 0.852701i \(0.325037\pi\)
\(758\) −0.744748 + 4.73852i −0.0270505 + 0.172111i
\(759\) −0.570686 0.274828i −0.0207146 0.00997561i
\(760\) 6.35095 12.5749i 0.230373 0.456138i
\(761\) −32.3377 25.7884i −1.17224 0.934830i −0.173490 0.984836i \(-0.555505\pi\)
−0.998749 + 0.0500060i \(0.984076\pi\)
\(762\) −0.756815 + 4.81530i −0.0274165 + 0.174440i
\(763\) 4.67539 + 0.561613i 0.169260 + 0.0203318i
\(764\) 3.58910 + 26.0314i 0.129849 + 0.941782i
\(765\) 19.5674 0.707460
\(766\) 2.31725 + 4.07258i 0.0837258 + 0.147148i
\(767\) −3.61073 + 2.87946i −0.130376 + 0.103971i
\(768\) 15.0324 + 5.47960i 0.542436 + 0.197728i
\(769\) −19.7651 + 41.0426i −0.712746 + 1.48003i 0.157553 + 0.987511i \(0.449639\pi\)
−0.870300 + 0.492523i \(0.836075\pi\)
\(770\) −5.83804 + 4.18686i −0.210388 + 0.150884i
\(771\) −3.06138 6.35702i −0.110253 0.228943i
\(772\) 10.8368 1.49414i 0.390027 0.0537752i
\(773\) 14.5155 +