Properties

Label 230.2.j.a.29.3
Level $230$
Weight $2$
Character 230.29
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 29.3
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.0359844 - 0.122552i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.96836 + 1.06092i) q^{5} +(-0.0836423 + 0.0965284i) q^{6} +(-0.277941 - 0.0399619i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(2.51004 + 1.61310i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.0359844 - 0.122552i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.96836 + 1.06092i) q^{5} +(-0.0836423 + 0.0965284i) q^{6} +(-0.277941 - 0.0399619i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(2.51004 + 1.61310i) q^{9} +(2.23121 - 0.147361i) q^{10} +(2.07071 + 4.53422i) q^{11} +(0.116183 - 0.0530590i) q^{12} +(-3.69726 + 0.531586i) q^{13} +(0.236223 + 0.151811i) q^{14} +(0.0591873 + 0.279402i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(5.80355 + 5.02880i) q^{17} +(-1.61310 - 2.51004i) q^{18} +(-2.73415 - 3.15538i) q^{19} +(-2.09079 - 0.792833i) q^{20} +(-0.0148989 + 0.0326241i) q^{21} -4.98467i q^{22} +(0.919072 + 4.70694i) q^{23} -0.127725 q^{24} +(2.74889 - 4.17655i) q^{25} +(3.58398 + 1.05235i) q^{26} +(0.577595 - 0.500489i) q^{27} +(-0.151811 - 0.236223i) q^{28} +(-1.53549 + 1.77205i) q^{29} +(0.0622293 - 0.278741i) q^{30} +(3.18900 - 0.936376i) q^{31} +(0.540641 - 0.841254i) q^{32} +(0.630188 - 0.0906074i) q^{33} +(-3.19005 - 6.98524i) q^{34} +(0.589484 - 0.216214i) q^{35} +(0.424623 + 2.95332i) q^{36} +(-4.55996 + 7.09543i) q^{37} +(1.17628 + 4.00604i) q^{38} +(-0.0678970 + 0.472234i) q^{39} +(1.57250 + 1.58973i) q^{40} +(1.35119 - 0.868354i) q^{41} +(0.0271051 - 0.0234867i) q^{42} +(2.28629 - 7.78640i) q^{43} +(-2.07071 + 4.53422i) q^{44} +(-6.65203 - 0.512218i) q^{45} +(1.11932 - 4.66338i) q^{46} -5.98632i q^{47} +(0.116183 + 0.0530590i) q^{48} +(-6.64080 - 1.94991i) q^{49} +(-4.23548 + 2.65719i) q^{50} +(0.825125 - 0.530276i) q^{51} +(-2.82294 - 2.44609i) q^{52} +(-10.5552 - 1.51760i) q^{53} +(-0.733310 + 0.215319i) q^{54} +(-8.88634 - 6.72812i) q^{55} +(0.0399619 + 0.277941i) q^{56} +(-0.485083 + 0.221530i) q^{57} +(2.13286 - 0.974046i) q^{58} +(-1.46074 - 10.1597i) q^{59} +(-0.172399 + 0.227700i) q^{60} +(10.4089 - 3.05634i) q^{61} +(-3.28980 - 0.473003i) q^{62} +(-0.633179 - 0.548653i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(6.71358 - 4.96886i) q^{65} +(-0.610879 - 0.179370i) q^{66} +(8.30299 + 3.79185i) q^{67} +7.67920i q^{68} +(0.609915 + 0.0567427i) q^{69} +(-0.626032 - 0.0482056i) q^{70} +(-1.57188 + 3.44193i) q^{71} +(0.840602 - 2.86283i) q^{72} +(-7.70105 + 6.67300i) q^{73} +(7.09543 - 4.55996i) q^{74} +(-0.412926 - 0.487172i) q^{75} +(0.594188 - 4.13267i) q^{76} +(-0.394338 - 1.34299i) q^{77} +(0.257934 - 0.401354i) q^{78} +(0.687186 + 4.77948i) q^{79} +(-0.769995 - 2.09931i) q^{80} +(3.67785 + 8.05337i) q^{81} +(-1.58981 + 0.228580i) q^{82} +(6.83669 - 10.6381i) q^{83} +(-0.0344123 + 0.0101044i) q^{84} +(-16.7586 - 3.74140i) q^{85} +(-5.31428 + 6.13300i) q^{86} +(0.161914 + 0.251942i) q^{87} +(3.76716 - 3.26427i) q^{88} +(-5.36601 - 1.57560i) q^{89} +(5.83812 + 3.22928i) q^{90} +1.04886 q^{91} +(-2.95541 + 3.77698i) q^{92} -0.424512i q^{93} +(-2.48681 + 5.44534i) q^{94} +(8.72941 + 3.31021i) q^{95} +(-0.0836423 - 0.0965284i) q^{96} +(2.46614 + 3.83739i) q^{97} +(5.23066 + 4.53239i) q^{98} +(-2.11660 + 14.7213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) 0.0359844 0.122552i 0.0207756 0.0707552i −0.948453 0.316919i \(-0.897352\pi\)
0.969228 + 0.246163i \(0.0791700\pi\)
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −1.96836 + 1.06092i −0.880278 + 0.474458i
\(6\) −0.0836423 + 0.0965284i −0.0341468 + 0.0394075i
\(7\) −0.277941 0.0399619i −0.105052 0.0151042i 0.0895884 0.995979i \(-0.471445\pi\)
−0.194640 + 0.980875i \(0.562354\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) 2.51004 + 1.61310i 0.836679 + 0.537701i
\(10\) 2.23121 0.147361i 0.705570 0.0465996i
\(11\) 2.07071 + 4.53422i 0.624342 + 1.36712i 0.912319 + 0.409480i \(0.134290\pi\)
−0.287977 + 0.957637i \(0.592983\pi\)
\(12\) 0.116183 0.0530590i 0.0335392 0.0153168i
\(13\) −3.69726 + 0.531586i −1.02544 + 0.147435i −0.634452 0.772962i \(-0.718774\pi\)
−0.390984 + 0.920397i \(0.627865\pi\)
\(14\) 0.236223 + 0.151811i 0.0631333 + 0.0405733i
\(15\) 0.0591873 + 0.279402i 0.0152821 + 0.0721414i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) 5.80355 + 5.02880i 1.40757 + 1.21966i 0.942420 + 0.334431i \(0.108544\pi\)
0.465147 + 0.885233i \(0.346001\pi\)
\(18\) −1.61310 2.51004i −0.380212 0.591621i
\(19\) −2.73415 3.15538i −0.627258 0.723894i 0.349811 0.936820i \(-0.386246\pi\)
−0.977068 + 0.212927i \(0.931700\pi\)
\(20\) −2.09079 0.792833i −0.467516 0.177283i
\(21\) −0.0148989 + 0.0326241i −0.00325121 + 0.00711916i
\(22\) 4.98467i 1.06274i
\(23\) 0.919072 + 4.70694i 0.191640 + 0.981465i
\(24\) −0.127725 −0.0260718
\(25\) 2.74889 4.17655i 0.549779 0.835310i
\(26\) 3.58398 + 1.05235i 0.702876 + 0.206383i
\(27\) 0.577595 0.500489i 0.111158 0.0963192i
\(28\) −0.151811 0.236223i −0.0286897 0.0446420i
\(29\) −1.53549 + 1.77205i −0.285133 + 0.329061i −0.880189 0.474623i \(-0.842584\pi\)
0.595056 + 0.803684i \(0.297130\pi\)
\(30\) 0.0622293 0.278741i 0.0113615 0.0508908i
\(31\) 3.18900 0.936376i 0.572762 0.168178i 0.0174902 0.999847i \(-0.494432\pi\)
0.555272 + 0.831669i \(0.312614\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) 0.630188 0.0906074i 0.109702 0.0157727i
\(34\) −3.19005 6.98524i −0.547090 1.19796i
\(35\) 0.589484 0.216214i 0.0996410 0.0365468i
\(36\) 0.424623 + 2.95332i 0.0707705 + 0.492219i
\(37\) −4.55996 + 7.09543i −0.749652 + 1.16648i 0.231423 + 0.972853i \(0.425662\pi\)
−0.981075 + 0.193628i \(0.937974\pi\)
\(38\) 1.17628 + 4.00604i 0.190818 + 0.649866i
\(39\) −0.0678970 + 0.472234i −0.0108722 + 0.0756180i
\(40\) 1.57250 + 1.58973i 0.248634 + 0.251359i
\(41\) 1.35119 0.868354i 0.211020 0.135614i −0.430862 0.902418i \(-0.641790\pi\)
0.641882 + 0.766804i \(0.278154\pi\)
\(42\) 0.0271051 0.0234867i 0.00418240 0.00362407i
\(43\) 2.28629 7.78640i 0.348657 1.18742i −0.579421 0.815028i \(-0.696721\pi\)
0.928078 0.372387i \(-0.121461\pi\)
\(44\) −2.07071 + 4.53422i −0.312171 + 0.683559i
\(45\) −6.65203 0.512218i −0.991627 0.0763570i
\(46\) 1.11932 4.66338i 0.165034 0.687578i
\(47\) 5.98632i 0.873194i −0.899657 0.436597i \(-0.856184\pi\)
0.899657 0.436597i \(-0.143816\pi\)
\(48\) 0.116183 + 0.0530590i 0.0167696 + 0.00765841i
\(49\) −6.64080 1.94991i −0.948685 0.278559i
\(50\) −4.23548 + 2.65719i −0.598988 + 0.375784i
\(51\) 0.825125 0.530276i 0.115541 0.0742534i
\(52\) −2.82294 2.44609i −0.391471 0.339212i
\(53\) −10.5552 1.51760i −1.44986 0.208459i −0.628030 0.778189i \(-0.716138\pi\)
−0.821832 + 0.569731i \(0.807048\pi\)
\(54\) −0.733310 + 0.215319i −0.0997909 + 0.0293012i
\(55\) −8.88634 6.72812i −1.19823 0.907219i
\(56\) 0.0399619 + 0.277941i 0.00534013 + 0.0371414i
\(57\) −0.485083 + 0.221530i −0.0642509 + 0.0293424i
\(58\) 2.13286 0.974046i 0.280059 0.127899i
\(59\) −1.46074 10.1597i −0.190173 1.32268i −0.831548 0.555453i \(-0.812545\pi\)
0.641375 0.767227i \(-0.278364\pi\)
\(60\) −0.172399 + 0.227700i −0.0222566 + 0.0293960i
\(61\) 10.4089 3.05634i 1.33273 0.391325i 0.463659 0.886014i \(-0.346536\pi\)
0.869070 + 0.494689i \(0.164718\pi\)
\(62\) −3.28980 0.473003i −0.417806 0.0600714i
\(63\) −0.633179 0.548653i −0.0797731 0.0691238i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) 6.71358 4.96886i 0.832717 0.616311i
\(66\) −0.610879 0.179370i −0.0751940 0.0220790i
\(67\) 8.30299 + 3.79185i 1.01437 + 0.463248i 0.852033 0.523487i \(-0.175369\pi\)
0.162338 + 0.986735i \(0.448097\pi\)
\(68\) 7.67920i 0.931239i
\(69\) 0.609915 + 0.0567427i 0.0734252 + 0.00683102i
\(70\) −0.626032 0.0482056i −0.0748252 0.00576167i
\(71\) −1.57188 + 3.44193i −0.186547 + 0.408482i −0.979680 0.200567i \(-0.935721\pi\)
0.793133 + 0.609049i \(0.208449\pi\)
\(72\) 0.840602 2.86283i 0.0990658 0.337387i
\(73\) −7.70105 + 6.67300i −0.901340 + 0.781015i −0.976356 0.216167i \(-0.930644\pi\)
0.0750167 + 0.997182i \(0.476099\pi\)
\(74\) 7.09543 4.55996i 0.824827 0.530084i
\(75\) −0.412926 0.487172i −0.0476806 0.0562537i
\(76\) 0.594188 4.13267i 0.0681580 0.474050i
\(77\) −0.394338 1.34299i −0.0449390 0.153048i
\(78\) 0.257934 0.401354i 0.0292053 0.0454444i
\(79\) 0.687186 + 4.77948i 0.0773145 + 0.537734i 0.991263 + 0.131903i \(0.0421087\pi\)
−0.913948 + 0.405831i \(0.866982\pi\)
\(80\) −0.769995 2.09931i −0.0860881 0.234710i
\(81\) 3.67785 + 8.05337i 0.408650 + 0.894819i
\(82\) −1.58981 + 0.228580i −0.175565 + 0.0252424i
\(83\) 6.83669 10.6381i 0.750425 1.16768i −0.230458 0.973082i \(-0.574022\pi\)
0.980882 0.194601i \(-0.0623412\pi\)
\(84\) −0.0344123 + 0.0101044i −0.00375469 + 0.00110248i
\(85\) −16.7586 3.74140i −1.81773 0.405811i
\(86\) −5.31428 + 6.13300i −0.573053 + 0.661339i
\(87\) 0.161914 + 0.251942i 0.0173590 + 0.0270111i
\(88\) 3.76716 3.26427i 0.401581 0.347972i
\(89\) −5.36601 1.57560i −0.568796 0.167014i −0.0153257 0.999883i \(-0.504879\pi\)
−0.553470 + 0.832869i \(0.686697\pi\)
\(90\) 5.83812 + 3.22928i 0.615392 + 0.340396i
\(91\) 1.04886 0.109951
\(92\) −2.95541 + 3.77698i −0.308122 + 0.393777i
\(93\) 0.424512i 0.0440199i
\(94\) −2.48681 + 5.44534i −0.256494 + 0.561644i
\(95\) 8.72941 + 3.31021i 0.895618 + 0.339620i
\(96\) −0.0836423 0.0965284i −0.00853671 0.00985188i
\(97\) 2.46614 + 3.83739i 0.250398 + 0.389628i 0.943585 0.331131i \(-0.107430\pi\)
−0.693186 + 0.720758i \(0.743794\pi\)
\(98\) 5.23066 + 4.53239i 0.528376 + 0.457841i
\(99\) −2.11660 + 14.7213i −0.212727 + 1.47955i
\(100\) 4.95657 0.657585i 0.495657 0.0657585i
\(101\) 1.61923 + 1.04062i 0.161119 + 0.103545i 0.618716 0.785615i \(-0.287653\pi\)
−0.457596 + 0.889160i \(0.651290\pi\)
\(102\) −0.970844 + 0.139586i −0.0961279 + 0.0138211i
\(103\) 13.7653 6.28640i 1.35633 0.619417i 0.401310 0.915943i \(-0.368555\pi\)
0.955025 + 0.296525i \(0.0958279\pi\)
\(104\) 1.55169 + 3.39773i 0.152156 + 0.333175i
\(105\) −0.00528512 0.0800225i −0.000515775 0.00780940i
\(106\) 8.97087 + 5.76523i 0.871328 + 0.559968i
\(107\) 2.00341 + 6.82299i 0.193677 + 0.659603i 0.997870 + 0.0652348i \(0.0207796\pi\)
−0.804193 + 0.594368i \(0.797402\pi\)
\(108\) 0.756489 + 0.108767i 0.0727932 + 0.0104661i
\(109\) 6.96543 8.03854i 0.667167 0.769952i −0.316763 0.948505i \(-0.602596\pi\)
0.983930 + 0.178553i \(0.0571415\pi\)
\(110\) 5.28834 + 9.81163i 0.504224 + 0.935503i
\(111\) 0.705469 + 0.814154i 0.0669601 + 0.0772761i
\(112\) 0.0791102 0.269425i 0.00747521 0.0254582i
\(113\) 11.3093 + 5.16480i 1.06389 + 0.485864i 0.868924 0.494946i \(-0.164812\pi\)
0.194969 + 0.980809i \(0.437539\pi\)
\(114\) 0.533274 0.0499457
\(115\) −6.80276 8.28990i −0.634361 0.773037i
\(116\) −2.34475 −0.217705
\(117\) −10.1378 4.62976i −0.937237 0.428022i
\(118\) −2.89175 + 9.84840i −0.266207 + 0.906619i
\(119\) −1.41208 1.62963i −0.129445 0.149388i
\(120\) 0.251410 0.135506i 0.0229504 0.0123700i
\(121\) −9.06782 + 10.4648i −0.824347 + 0.951347i
\(122\) −10.7380 1.54389i −0.972170 0.139777i
\(123\) −0.0577966 0.196837i −0.00521134 0.0177482i
\(124\) 2.79602 + 1.79689i 0.251090 + 0.161366i
\(125\) −0.979823 + 11.1373i −0.0876380 + 0.996152i
\(126\) 0.348041 + 0.762104i 0.0310060 + 0.0678936i
\(127\) 16.4027 7.49084i 1.45550 0.664705i 0.478528 0.878072i \(-0.341170\pi\)
0.976972 + 0.213368i \(0.0684432\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) −0.871965 0.560378i −0.0767722 0.0493385i
\(130\) −8.17103 + 1.73091i −0.716646 + 0.151811i
\(131\) −0.239081 + 1.66284i −0.0208886 + 0.145283i −0.997597 0.0692895i \(-0.977927\pi\)
0.976708 + 0.214573i \(0.0688359\pi\)
\(132\) 0.481162 + 0.416929i 0.0418798 + 0.0362890i
\(133\) 0.633838 + 0.986271i 0.0549607 + 0.0855205i
\(134\) −5.97747 6.89837i −0.516375 0.595929i
\(135\) −0.605937 + 1.59793i −0.0521507 + 0.137528i
\(136\) 3.19005 6.98524i 0.273545 0.598980i
\(137\) 0.809274i 0.0691410i −0.999402 0.0345705i \(-0.988994\pi\)
0.999402 0.0345705i \(-0.0110063\pi\)
\(138\) −0.531227 0.304983i −0.0452210 0.0259619i
\(139\) 14.9861 1.27111 0.635554 0.772057i \(-0.280772\pi\)
0.635554 + 0.772057i \(0.280772\pi\)
\(140\) 0.549434 + 0.303913i 0.0464356 + 0.0256853i
\(141\) −0.733632 0.215414i −0.0617830 0.0181411i
\(142\) 2.85966 2.47791i 0.239977 0.207941i
\(143\) −10.0663 15.6634i −0.841784 1.30984i
\(144\) −1.95390 + 2.25492i −0.162825 + 0.187910i
\(145\) 1.14239 5.11706i 0.0948705 0.424949i
\(146\) 9.77718 2.87084i 0.809166 0.237592i
\(147\) −0.477930 + 0.743673i −0.0394190 + 0.0613372i
\(148\) −8.34850 + 1.20033i −0.686243 + 0.0986668i
\(149\) 4.53178 + 9.92321i 0.371258 + 0.812941i 0.999393 + 0.0348367i \(0.0110911\pi\)
−0.628135 + 0.778104i \(0.716182\pi\)
\(150\) 0.173232 + 0.614683i 0.0141443 + 0.0501886i
\(151\) −1.99528 13.8775i −0.162374 1.12933i −0.894143 0.447781i \(-0.852214\pi\)
0.731770 0.681552i \(-0.238695\pi\)
\(152\) −2.25727 + 3.51237i −0.183088 + 0.284891i
\(153\) 6.45514 + 21.9842i 0.521868 + 1.77732i
\(154\) −0.199197 + 1.38544i −0.0160517 + 0.111642i
\(155\) −5.28369 + 5.22641i −0.424396 + 0.419795i
\(156\) −0.401354 + 0.257934i −0.0321340 + 0.0206513i
\(157\) 2.38154 2.06362i 0.190068 0.164695i −0.554629 0.832098i \(-0.687140\pi\)
0.744696 + 0.667403i \(0.232594\pi\)
\(158\) 1.36038 4.63304i 0.108226 0.368585i
\(159\) −0.565805 + 1.23894i −0.0448713 + 0.0982543i
\(160\) −0.171673 + 2.22947i −0.0135719 + 0.176255i
\(161\) −0.0673495 1.34498i −0.00530788 0.105999i
\(162\) 8.85344i 0.695592i
\(163\) −10.4484 4.77165i −0.818386 0.373744i −0.0381828 0.999271i \(-0.512157\pi\)
−0.780203 + 0.625527i \(0.784884\pi\)
\(164\) 1.54110 + 0.452507i 0.120339 + 0.0353348i
\(165\) −1.14431 + 0.846928i −0.0890845 + 0.0659333i
\(166\) −10.6381 + 6.83669i −0.825677 + 0.530630i
\(167\) −10.4103 9.02060i −0.805575 0.698035i 0.151315 0.988486i \(-0.451649\pi\)
−0.956890 + 0.290451i \(0.906195\pi\)
\(168\) 0.0355001 + 0.00510414i 0.00273889 + 0.000393793i
\(169\) 0.913765 0.268306i 0.0702896 0.0206389i
\(170\) 13.6900 + 10.3651i 1.04997 + 0.794966i
\(171\) −1.77287 12.3306i −0.135575 0.942944i
\(172\) 7.38178 3.37114i 0.562855 0.257047i
\(173\) 5.24943 2.39734i 0.399107 0.182266i −0.205742 0.978606i \(-0.565961\pi\)
0.604849 + 0.796340i \(0.293233\pi\)
\(174\) −0.0426211 0.296436i −0.00323110 0.0224728i
\(175\) −0.930932 + 1.05098i −0.0703719 + 0.0794469i
\(176\) −4.78276 + 1.40434i −0.360514 + 0.105856i
\(177\) −1.29765 0.186574i −0.0975374 0.0140238i
\(178\) 4.22656 + 3.66234i 0.316794 + 0.274504i
\(179\) −6.13268 + 3.94123i −0.458378 + 0.294582i −0.749379 0.662141i \(-0.769648\pi\)
0.291001 + 0.956723i \(0.406012\pi\)
\(180\) −3.96905 5.36270i −0.295835 0.399712i
\(181\) −6.47102 1.90006i −0.480987 0.141231i 0.0322457 0.999480i \(-0.489734\pi\)
−0.513233 + 0.858249i \(0.671552\pi\)
\(182\) −0.954080 0.435714i −0.0707211 0.0322972i
\(183\) 1.38561i 0.102427i
\(184\) 4.25735 2.20794i 0.313856 0.162772i
\(185\) 1.44795 18.8041i 0.106455 1.38251i
\(186\) −0.176349 + 0.386150i −0.0129305 + 0.0283139i
\(187\) −10.7842 + 36.7277i −0.788621 + 2.68580i
\(188\) 4.52416 3.92020i 0.329958 0.285910i
\(189\) −0.180538 + 0.116025i −0.0131322 + 0.00843955i
\(190\) −6.56544 6.63740i −0.476307 0.481527i
\(191\) −1.27458 + 8.86490i −0.0922254 + 0.641442i 0.890309 + 0.455358i \(0.150489\pi\)
−0.982534 + 0.186084i \(0.940420\pi\)
\(192\) 0.0359844 + 0.122552i 0.00259695 + 0.00884440i
\(193\) 1.38166 2.14990i 0.0994540 0.154753i −0.787960 0.615726i \(-0.788863\pi\)
0.887415 + 0.460972i \(0.152499\pi\)
\(194\) −0.649171 4.51508i −0.0466077 0.324164i
\(195\) −0.367357 1.00156i −0.0263070 0.0717233i
\(196\) −2.87515 6.29570i −0.205368 0.449693i
\(197\) 6.50936 0.935904i 0.463773 0.0666804i 0.0935319 0.995616i \(-0.470184\pi\)
0.370241 + 0.928936i \(0.379275\pi\)
\(198\) 8.04079 12.5117i 0.571434 0.889168i
\(199\) 8.55843 2.51298i 0.606691 0.178140i 0.0360633 0.999350i \(-0.488518\pi\)
0.570627 + 0.821209i \(0.306700\pi\)
\(200\) −4.78183 1.46087i −0.338126 0.103299i
\(201\) 0.763475 0.881097i 0.0538514 0.0621478i
\(202\) −1.04062 1.61923i −0.0732175 0.113929i
\(203\) 0.497589 0.431163i 0.0349239 0.0302617i
\(204\) 0.941097 + 0.276331i 0.0658900 + 0.0193470i
\(205\) −1.73837 + 3.14274i −0.121413 + 0.219498i
\(206\) −15.1328 −1.05435
\(207\) −5.28588 + 13.2972i −0.367394 + 0.924216i
\(208\) 3.73528i 0.258995i
\(209\) 8.64555 18.9311i 0.598025 1.30949i
\(210\) −0.0284351 + 0.0749866i −0.00196221 + 0.00517457i
\(211\) −9.02200 10.4119i −0.621100 0.716788i 0.354815 0.934936i \(-0.384544\pi\)
−0.975916 + 0.218149i \(0.929998\pi\)
\(212\) −5.76523 8.97087i −0.395957 0.616122i
\(213\) 0.365251 + 0.316492i 0.0250266 + 0.0216856i
\(214\) 1.01201 7.03865i 0.0691793 0.481152i
\(215\) 3.76051 + 17.7520i 0.256464 + 1.21068i
\(216\) −0.642943 0.413195i −0.0437468 0.0281143i
\(217\) −0.923774 + 0.132819i −0.0627098 + 0.00901631i
\(218\) −9.67531 + 4.41856i −0.655294 + 0.299263i
\(219\) 0.540669 + 1.18390i 0.0365350 + 0.0800005i
\(220\) −0.734545 11.1218i −0.0495230 0.749834i
\(221\) −24.1305 15.5077i −1.62319 1.04316i
\(222\) −0.303505 1.03364i −0.0203699 0.0693736i
\(223\) 0.341892 + 0.0491567i 0.0228948 + 0.00329177i 0.153753 0.988109i \(-0.450864\pi\)
−0.130858 + 0.991401i \(0.541773\pi\)
\(224\) −0.183884 + 0.212214i −0.0122863 + 0.0141791i
\(225\) 13.6370 6.04905i 0.909135 0.403270i
\(226\) −8.14180 9.39614i −0.541584 0.625022i
\(227\) 2.18901 7.45510i 0.145290 0.494812i −0.854402 0.519612i \(-0.826077\pi\)
0.999692 + 0.0247995i \(0.00789474\pi\)
\(228\) −0.485083 0.221530i −0.0321254 0.0146712i
\(229\) −7.14024 −0.471841 −0.235920 0.971772i \(-0.575810\pi\)
−0.235920 + 0.971772i \(0.575810\pi\)
\(230\) 2.74426 + 10.3667i 0.180951 + 0.683562i
\(231\) −0.178776 −0.0117626
\(232\) 2.13286 + 0.974046i 0.140029 + 0.0639493i
\(233\) −2.52146 + 8.58730i −0.165186 + 0.562573i 0.834743 + 0.550640i \(0.185616\pi\)
−0.999929 + 0.0119323i \(0.996202\pi\)
\(234\) 7.29837 + 8.42276i 0.477109 + 0.550613i
\(235\) 6.35101 + 11.7832i 0.414294 + 0.768653i
\(236\) 6.72160 7.75714i 0.437539 0.504947i
\(237\) 0.610461 + 0.0877711i 0.0396537 + 0.00570134i
\(238\) 0.607503 + 2.06896i 0.0393786 + 0.134111i
\(239\) −16.1199 10.3596i −1.04271 0.670107i −0.0970521 0.995279i \(-0.530941\pi\)
−0.945655 + 0.325172i \(0.894578\pi\)
\(240\) −0.284982 + 0.0188217i −0.0183955 + 0.00121494i
\(241\) −6.46276 14.1515i −0.416303 0.911576i −0.995354 0.0962849i \(-0.969304\pi\)
0.579051 0.815291i \(-0.303423\pi\)
\(242\) 12.5956 5.75223i 0.809677 0.369767i
\(243\) 3.38877 0.487231i 0.217389 0.0312559i
\(244\) 9.12624 + 5.86508i 0.584248 + 0.375473i
\(245\) 15.1402 3.20723i 0.967271 0.204902i
\(246\) −0.0291954 + 0.203059i −0.00186143 + 0.0129466i
\(247\) 11.7862 + 10.2128i 0.749940 + 0.649827i
\(248\) −1.79689 2.79602i −0.114103 0.177547i
\(249\) −1.05770 1.22065i −0.0670291 0.0773557i
\(250\) 5.51789 9.72383i 0.348982 0.614989i
\(251\) −8.44330 + 18.4883i −0.532937 + 1.16697i 0.431369 + 0.902176i \(0.358031\pi\)
−0.964305 + 0.264793i \(0.914697\pi\)
\(252\) 0.837816i 0.0527774i
\(253\) −19.4392 + 13.9140i −1.22213 + 0.874764i
\(254\) −18.0322 −1.13144
\(255\) −1.06156 + 1.91917i −0.0664777 + 0.120183i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 11.5971 10.0489i 0.723405 0.626834i −0.213286 0.976990i \(-0.568417\pi\)
0.936692 + 0.350155i \(0.113871\pi\)
\(258\) 0.560378 + 0.871965i 0.0348876 + 0.0542862i
\(259\) 1.55094 1.78989i 0.0963710 0.111218i
\(260\) 8.15167 + 1.81987i 0.505545 + 0.112864i
\(261\) −6.71262 + 1.97100i −0.415501 + 0.122002i
\(262\) 0.908245 1.41326i 0.0561116 0.0873113i
\(263\) −14.7581 + 2.12189i −0.910024 + 0.130842i −0.581399 0.813619i \(-0.697494\pi\)
−0.328625 + 0.944460i \(0.606585\pi\)
\(264\) −0.264482 0.579134i −0.0162777 0.0356432i
\(265\) 22.3864 8.21099i 1.37519 0.504397i
\(266\) −0.166847 1.16045i −0.0102301 0.0711517i
\(267\) −0.386185 + 0.600916i −0.0236341 + 0.0367754i
\(268\) 2.57161 + 8.75811i 0.157086 + 0.534987i
\(269\) −1.18916 + 8.27078i −0.0725043 + 0.504279i 0.920917 + 0.389759i \(0.127442\pi\)
−0.993421 + 0.114519i \(0.963467\pi\)
\(270\) 1.21498 1.20181i 0.0739415 0.0731398i
\(271\) 1.99805 1.28407i 0.121373 0.0780015i −0.478546 0.878063i \(-0.658836\pi\)
0.599919 + 0.800061i \(0.295200\pi\)
\(272\) −5.80355 + 5.02880i −0.351892 + 0.304916i
\(273\) 0.0377427 0.128540i 0.00228429 0.00777959i
\(274\) −0.336185 + 0.736142i −0.0203097 + 0.0444720i
\(275\) 24.6295 + 3.81566i 1.48522 + 0.230093i
\(276\) 0.356526 + 0.498102i 0.0214604 + 0.0299822i
\(277\) 9.82954i 0.590600i −0.955405 0.295300i \(-0.904580\pi\)
0.955405 0.295300i \(-0.0954196\pi\)
\(278\) −13.6319 6.22546i −0.817585 0.373379i
\(279\) 9.51499 + 2.79385i 0.569647 + 0.167264i
\(280\) −0.373533 0.504692i −0.0223228 0.0301611i
\(281\) 14.1872 9.11754i 0.846336 0.543907i −0.0440942 0.999027i \(-0.514040\pi\)
0.890430 + 0.455120i \(0.150404\pi\)
\(282\) 0.577849 + 0.500709i 0.0344104 + 0.0298168i
\(283\) −3.63199 0.522201i −0.215899 0.0310416i 0.0335164 0.999438i \(-0.489329\pi\)
−0.249416 + 0.968397i \(0.580238\pi\)
\(284\) −3.63060 + 1.06604i −0.215436 + 0.0632578i
\(285\) 0.719793 0.950687i 0.0426369 0.0563138i
\(286\) 2.64978 + 18.4296i 0.156685 + 1.08977i
\(287\) −0.410251 + 0.187355i −0.0242163 + 0.0110592i
\(288\) 2.71406 1.23947i 0.159927 0.0730364i
\(289\) 5.97296 + 41.5429i 0.351351 + 2.44370i
\(290\) −3.16486 + 4.18007i −0.185847 + 0.245462i
\(291\) 0.559020 0.164143i 0.0327703 0.00962224i
\(292\) −10.0862 1.45018i −0.590252 0.0848654i
\(293\) 12.8772 + 11.1581i 0.752293 + 0.651866i 0.944134 0.329560i \(-0.106901\pi\)
−0.191842 + 0.981426i \(0.561446\pi\)
\(294\) 0.743673 0.477930i 0.0433719 0.0278734i
\(295\) 13.6539 + 18.4482i 0.794961 + 1.07410i
\(296\) 8.09270 + 2.37623i 0.470379 + 0.138116i
\(297\) 3.46536 + 1.58258i 0.201080 + 0.0918303i
\(298\) 10.9090i 0.631943i
\(299\) −5.90020 16.9142i −0.341217 0.978176i
\(300\) 0.0977710 0.631098i 0.00564481 0.0364365i
\(301\) −0.946614 + 2.07279i −0.0545619 + 0.119474i
\(302\) −3.94994 + 13.4523i −0.227294 + 0.774091i
\(303\) 0.185796 0.160993i 0.0106737 0.00924882i
\(304\) 3.51237 2.25727i 0.201448 0.129463i
\(305\) −17.2460 + 17.0591i −0.987505 + 0.976799i
\(306\) 3.26076 22.6791i 0.186405 1.29648i
\(307\) −0.588388 2.00387i −0.0335811 0.114367i 0.940997 0.338415i \(-0.109891\pi\)
−0.974578 + 0.224048i \(0.928073\pi\)
\(308\) 0.756730 1.17749i 0.0431187 0.0670940i
\(309\) −0.275072 1.91317i −0.0156483 0.108836i
\(310\) 6.97734 2.55918i 0.396286 0.145352i
\(311\) −5.77456 12.6445i −0.327445 0.717005i 0.672284 0.740294i \(-0.265313\pi\)
−0.999729 + 0.0232890i \(0.992586\pi\)
\(312\) 0.472234 0.0678970i 0.0267350 0.00384391i
\(313\) 5.59660 8.70847i 0.316338 0.492232i −0.646277 0.763103i \(-0.723675\pi\)
0.962616 + 0.270870i \(0.0873115\pi\)
\(314\) −3.02358 + 0.887804i −0.170631 + 0.0501017i
\(315\) 1.82840 + 0.408194i 0.103019 + 0.0229991i
\(316\) −3.16208 + 3.64924i −0.177881 + 0.205286i
\(317\) −0.919290 1.43044i −0.0516325 0.0803417i 0.814478 0.580195i \(-0.197024\pi\)
−0.866110 + 0.499853i \(0.833387\pi\)
\(318\) 1.02935 0.891936i 0.0577230 0.0500173i
\(319\) −11.2144 3.29284i −0.627885 0.184364i
\(320\) 1.08231 1.95668i 0.0605032 0.109382i
\(321\) 0.908259 0.0506941
\(322\) −0.497461 + 1.25141i −0.0277224 + 0.0697386i
\(323\) 32.0619i 1.78397i
\(324\) −3.67785 + 8.05337i −0.204325 + 0.447410i
\(325\) −7.94318 + 16.9031i −0.440609 + 0.937615i
\(326\) 7.52203 + 8.68088i 0.416607 + 0.480790i
\(327\) −0.734488 1.14289i −0.0406173 0.0632017i
\(328\) −1.21385 1.05181i −0.0670238 0.0580764i
\(329\) −0.239224 + 1.66384i −0.0131889 + 0.0917306i
\(330\) 1.39273 0.295029i 0.0766672 0.0162408i
\(331\) −1.82523 1.17300i −0.100324 0.0644741i 0.489517 0.871994i \(-0.337173\pi\)
−0.589841 + 0.807520i \(0.700809\pi\)
\(332\) 12.5168 1.79965i 0.686950 0.0987685i
\(333\) −22.8913 + 10.4541i −1.25444 + 0.572882i
\(334\) 5.72228 + 12.5300i 0.313109 + 0.685613i
\(335\) −20.3661 + 1.34509i −1.11272 + 0.0734900i
\(336\) −0.0301717 0.0193902i −0.00164600 0.00105782i
\(337\) −4.43691 15.1107i −0.241694 0.823134i −0.987588 0.157069i \(-0.949795\pi\)
0.745894 0.666065i \(-0.232023\pi\)
\(338\) −0.942648 0.135532i −0.0512733 0.00737199i
\(339\) 1.03991 1.20012i 0.0564804 0.0651818i
\(340\) −8.14702 15.1154i −0.441834 0.819750i
\(341\) 10.8492 + 12.5207i 0.587518 + 0.678032i
\(342\) −3.50965 + 11.9528i −0.189780 + 0.646332i
\(343\) 3.55579 + 1.62388i 0.191995 + 0.0876811i
\(344\) −8.11512 −0.437538
\(345\) −1.26073 + 0.535382i −0.0678756 + 0.0288240i
\(346\) −5.77094 −0.310248
\(347\) −7.23170 3.30261i −0.388218 0.177293i 0.211738 0.977327i \(-0.432088\pi\)
−0.599956 + 0.800033i \(0.704815\pi\)
\(348\) −0.0843745 + 0.287353i −0.00452295 + 0.0154037i
\(349\) 8.39969 + 9.69375i 0.449625 + 0.518895i 0.934632 0.355615i \(-0.115729\pi\)
−0.485008 + 0.874510i \(0.661183\pi\)
\(350\) 1.28340 0.569285i 0.0686006 0.0304296i
\(351\) −1.86947 + 2.15748i −0.0997849 + 0.115158i
\(352\) 4.93393 + 0.709393i 0.262980 + 0.0378108i
\(353\) 2.41739 + 8.23286i 0.128665 + 0.438191i 0.998476 0.0551937i \(-0.0175776\pi\)
−0.869811 + 0.493385i \(0.835759\pi\)
\(354\) 1.10288 + 0.708777i 0.0586174 + 0.0376711i
\(355\) −0.557594 8.44260i −0.0295940 0.448087i
\(356\) −2.32323 5.08716i −0.123131 0.269619i
\(357\) −0.250527 + 0.114412i −0.0132593 + 0.00605531i
\(358\) 7.21573 1.03747i 0.381363 0.0548318i
\(359\) 23.6966 + 15.2289i 1.25066 + 0.803749i 0.986977 0.160861i \(-0.0514271\pi\)
0.263681 + 0.964610i \(0.415063\pi\)
\(360\) 1.38262 + 6.52689i 0.0728707 + 0.343997i
\(361\) 0.223148 1.55203i 0.0117447 0.0816858i
\(362\) 5.09693 + 4.41652i 0.267889 + 0.232127i
\(363\) 0.956180 + 1.48785i 0.0501864 + 0.0780916i
\(364\) 0.686860 + 0.792678i 0.0360012 + 0.0415476i
\(365\) 8.07893 21.3051i 0.422870 1.11516i
\(366\) −0.575605 + 1.26040i −0.0300873 + 0.0658821i
\(367\) 7.72825i 0.403411i 0.979446 + 0.201706i \(0.0646484\pi\)
−0.979446 + 0.201706i \(0.935352\pi\)
\(368\) −4.78983 + 0.239849i −0.249687 + 0.0125030i
\(369\) 4.79227 0.249476
\(370\) −9.12862 + 16.5033i −0.474574 + 0.857967i
\(371\) 2.87306 + 0.843607i 0.149162 + 0.0437979i
\(372\) 0.320825 0.277996i 0.0166340 0.0144134i
\(373\) −10.5439 16.4067i −0.545944 0.849505i 0.453177 0.891420i \(-0.350290\pi\)
−0.999121 + 0.0419151i \(0.986654\pi\)
\(374\) 25.0669 28.9288i 1.29618 1.49587i
\(375\) 1.32964 + 0.520848i 0.0686622 + 0.0268965i
\(376\) −5.74383 + 1.68654i −0.296215 + 0.0869767i
\(377\) 4.73511 7.36797i 0.243870 0.379470i
\(378\) 0.212421 0.0305416i 0.0109258 0.00157089i
\(379\) 10.7155 + 23.4636i 0.550417 + 1.20525i 0.956587 + 0.291448i \(0.0941371\pi\)
−0.406169 + 0.913798i \(0.633136\pi\)
\(380\) 3.21486 + 8.76497i 0.164919 + 0.449634i
\(381\) −0.327775 2.27972i −0.0167924 0.116794i
\(382\) 4.84201 7.53432i 0.247739 0.385489i
\(383\) 6.97756 + 23.7634i 0.356537 + 1.21425i 0.921252 + 0.388966i \(0.127168\pi\)
−0.564715 + 0.825286i \(0.691014\pi\)
\(384\) 0.0181772 0.126425i 0.000927602 0.00645161i
\(385\) 2.20101 + 2.22513i 0.112174 + 0.113403i
\(386\) −2.14990 + 1.38166i −0.109427 + 0.0703246i
\(387\) 18.2990 15.8561i 0.930188 0.806012i
\(388\) −1.28513 + 4.37674i −0.0652424 + 0.222195i
\(389\) 15.0325 32.9167i 0.762180 1.66894i 0.0190271 0.999819i \(-0.493943\pi\)
0.743153 0.669122i \(-0.233330\pi\)
\(390\) −0.0819035 + 1.06366i −0.00414734 + 0.0538604i
\(391\) −18.3364 + 31.9388i −0.927312 + 1.61521i
\(392\) 6.92115i 0.349571i
\(393\) 0.195181 + 0.0891361i 0.00984557 + 0.00449632i
\(394\) −6.30991 1.85276i −0.317889 0.0933405i
\(395\) −6.42329 8.67870i −0.323191 0.436673i
\(396\) −12.5117 + 8.04079i −0.628737 + 0.404065i
\(397\) −3.78090 3.27617i −0.189758 0.164426i 0.554801 0.831983i \(-0.312795\pi\)
−0.744559 + 0.667557i \(0.767340\pi\)
\(398\) −8.82895 1.26941i −0.442555 0.0636298i
\(399\) 0.143677 0.0421874i 0.00719286 0.00211201i
\(400\) 3.74283 + 3.31530i 0.187142 + 0.165765i
\(401\) 0.918153 + 6.38589i 0.0458504 + 0.318896i 0.999820 + 0.0189919i \(0.00604568\pi\)
−0.953969 + 0.299904i \(0.903045\pi\)
\(402\) −1.06050 + 0.484315i −0.0528930 + 0.0241554i
\(403\) −11.2928 + 5.15726i −0.562536 + 0.256901i
\(404\) 0.273925 + 1.90519i 0.0136283 + 0.0947868i
\(405\) −15.7833 11.9500i −0.784280 0.593802i
\(406\) −0.631734 + 0.185494i −0.0313525 + 0.00920591i
\(407\) −41.6145 5.98327i −2.06276 0.296580i
\(408\) −0.741260 0.642306i −0.0366978 0.0317989i
\(409\) −10.3948 + 6.68035i −0.513991 + 0.330322i −0.771791 0.635876i \(-0.780639\pi\)
0.257800 + 0.966198i \(0.417003\pi\)
\(410\) 2.88681 2.13659i 0.142570 0.105519i
\(411\) −0.0991778 0.0291212i −0.00489208 0.00143644i
\(412\) 13.7653 + 6.28640i 0.678167 + 0.309709i
\(413\) 2.88217i 0.141822i
\(414\) 10.3320 9.89969i 0.507792 0.486543i
\(415\) −2.17090 + 28.1928i −0.106565 + 1.38393i
\(416\) −1.55169 + 3.39773i −0.0760780 + 0.166588i
\(417\) 0.539267 1.83657i 0.0264080 0.0899374i
\(418\) −15.7285 + 13.6288i −0.769307 + 0.666609i
\(419\) −14.1760 + 9.11038i −0.692544 + 0.445071i −0.838989 0.544148i \(-0.816853\pi\)
0.146445 + 0.989219i \(0.453217\pi\)
\(420\) 0.0570160 0.0563978i 0.00278210 0.00275193i
\(421\) −2.79809 + 19.4611i −0.136371 + 0.948478i 0.800632 + 0.599156i \(0.204497\pi\)
−0.937003 + 0.349322i \(0.886412\pi\)
\(422\) 3.88142 + 13.2189i 0.188945 + 0.643486i
\(423\) 9.65654 15.0259i 0.469517 0.730583i
\(424\) 1.51760 + 10.5552i 0.0737012 + 0.512603i
\(425\) 36.9564 10.4152i 1.79265 0.505211i
\(426\) −0.200768 0.439621i −0.00972726 0.0212997i
\(427\) −3.01521 + 0.433522i −0.145916 + 0.0209796i
\(428\) −3.84451 + 5.98218i −0.185832 + 0.289160i
\(429\) −2.28181 + 0.669999i −0.110167 + 0.0323478i
\(430\) 3.95379 17.7100i 0.190668 0.854052i
\(431\) 16.5280 19.0744i 0.796127 0.918780i −0.202035 0.979378i \(-0.564756\pi\)
0.998162 + 0.0605987i \(0.0193010\pi\)
\(432\) 0.413195 + 0.642943i 0.0198798 + 0.0309336i
\(433\) 15.8328 13.7192i 0.760877 0.659304i −0.185399 0.982663i \(-0.559358\pi\)
0.946276 + 0.323360i \(0.104812\pi\)
\(434\) 0.895469 + 0.262933i 0.0429839 + 0.0126212i
\(435\) −0.585995 0.324136i −0.0280963 0.0155411i
\(436\) 10.6365 0.509396
\(437\) 12.3393 15.7695i 0.590269 0.754358i
\(438\) 1.30151i 0.0621888i
\(439\) 2.96603 6.49469i 0.141561 0.309975i −0.825551 0.564328i \(-0.809135\pi\)
0.967111 + 0.254353i \(0.0818626\pi\)
\(440\) −3.95201 + 10.4219i −0.188405 + 0.496845i
\(441\) −13.5232 15.6066i −0.643963 0.743173i
\(442\) 15.5077 + 24.1305i 0.737627 + 1.14777i
\(443\) 26.6438 + 23.0870i 1.26588 + 1.09689i 0.990780 + 0.135479i \(0.0432575\pi\)
0.275103 + 0.961415i \(0.411288\pi\)
\(444\) −0.153313 + 1.06632i −0.00727591 + 0.0506051i
\(445\) 12.2338 2.59156i 0.579939 0.122852i
\(446\) −0.290576 0.186742i −0.0137591 0.00884247i
\(447\) 1.37918 0.198296i 0.0652329 0.00937907i
\(448\) 0.255424 0.116648i 0.0120676 0.00551110i
\(449\) −14.0161 30.6909i −0.661460 1.44839i −0.881156 0.472826i \(-0.843234\pi\)
0.219696 0.975568i \(-0.429493\pi\)
\(450\) −14.9175 0.162615i −0.703220 0.00766575i
\(451\) 6.73521 + 4.32846i 0.317149 + 0.203819i
\(452\) 3.50274 + 11.9292i 0.164755 + 0.561105i
\(453\) −1.77251 0.254848i −0.0832796 0.0119738i
\(454\) −5.08816 + 5.87205i −0.238799 + 0.275589i
\(455\) −2.06454 + 1.11276i −0.0967873 + 0.0521671i
\(456\) 0.349220 + 0.403022i 0.0163537 + 0.0188732i
\(457\) 1.02884 3.50389i 0.0481269 0.163905i −0.931923 0.362656i \(-0.881870\pi\)
0.980050 + 0.198750i \(0.0636883\pi\)
\(458\) 6.49499 + 2.96616i 0.303491 + 0.138600i
\(459\) 5.86897 0.273940
\(460\) 1.81023 10.5699i 0.0844023 0.492825i
\(461\) 28.5065 1.32768 0.663839 0.747875i \(-0.268926\pi\)
0.663839 + 0.747875i \(0.268926\pi\)
\(462\) 0.162620 + 0.0742662i 0.00756578 + 0.00345518i
\(463\) 8.58203 29.2277i 0.398841 1.35833i −0.478344 0.878173i \(-0.658763\pi\)
0.877184 0.480154i \(-0.159419\pi\)
\(464\) −1.53549 1.77205i −0.0712832 0.0822652i
\(465\) 0.450374 + 0.835594i 0.0208856 + 0.0387497i
\(466\) 5.86089 6.76383i 0.271501 0.313328i
\(467\) −35.9205 5.16459i −1.66220 0.238989i −0.753805 0.657098i \(-0.771784\pi\)
−0.908397 + 0.418109i \(0.862693\pi\)
\(468\) −3.13988 10.6935i −0.145141 0.494306i
\(469\) −2.15621 1.38571i −0.0995645 0.0639862i
\(470\) −0.882149 13.3567i −0.0406905 0.616099i
\(471\) −0.167201 0.366120i −0.00770422 0.0168699i
\(472\) −9.33662 + 4.26389i −0.429753 + 0.196262i
\(473\) 40.0395 5.75681i 1.84102 0.264698i
\(474\) −0.518834 0.333434i −0.0238308 0.0153151i
\(475\) −20.6945 + 2.74553i −0.949529 + 0.125973i
\(476\) 0.306875 2.13436i 0.0140656 0.0978283i
\(477\) −24.0458 20.8358i −1.10098 0.954005i
\(478\) 10.3596 + 16.1199i 0.473837 + 0.737305i
\(479\) −16.1276 18.6122i −0.736889 0.850415i 0.256340 0.966587i \(-0.417483\pi\)
−0.993229 + 0.116172i \(0.962938\pi\)
\(480\) 0.267047 + 0.101265i 0.0121890 + 0.00462209i
\(481\) 13.0875 28.6577i 0.596740 1.30668i
\(482\) 15.5574i 0.708618i
\(483\) −0.167253 0.0401445i −0.00761027 0.00182664i
\(484\) −13.8469 −0.629406
\(485\) −8.92542 4.93699i −0.405282 0.224177i
\(486\) −3.28493 0.964543i −0.149008 0.0437526i
\(487\) −23.0853 + 20.0035i −1.04610 + 0.906447i −0.995733 0.0922838i \(-0.970583\pi\)
−0.0503631 + 0.998731i \(0.516038\pi\)
\(488\) −5.86508 9.12624i −0.265500 0.413126i
\(489\) −0.960754 + 1.10877i −0.0434468 + 0.0501403i
\(490\) −15.1043 3.37207i −0.682344 0.152334i
\(491\) −1.21049 + 0.355433i −0.0546289 + 0.0160405i −0.308933 0.951084i \(-0.599972\pi\)
0.254304 + 0.967124i \(0.418154\pi\)
\(492\) 0.110911 0.172581i 0.00500024 0.00778053i
\(493\) −17.8226 + 2.56250i −0.802687 + 0.115409i
\(494\) −6.47857 14.1861i −0.291485 0.638263i
\(495\) −11.4519 31.2224i −0.514725 1.40334i
\(496\) 0.473003 + 3.28980i 0.0212384 + 0.147717i
\(497\) 0.574434 0.893837i 0.0257669 0.0400941i
\(498\) 0.455042 + 1.54973i 0.0203909 + 0.0694451i
\(499\) 0.500048 3.47791i 0.0223852 0.155693i −0.975563 0.219720i \(-0.929486\pi\)
0.997948 + 0.0640277i \(0.0203946\pi\)
\(500\) −9.05867 + 6.55289i −0.405116 + 0.293054i
\(501\) −1.48010 + 0.951201i −0.0661259 + 0.0424965i
\(502\) 15.3606 13.3100i 0.685577 0.594056i
\(503\) −2.11631 + 7.20748i −0.0943615 + 0.321366i −0.993124 0.117071i \(-0.962649\pi\)
0.898762 + 0.438437i \(0.144468\pi\)
\(504\) −0.348041 + 0.762104i −0.0155030 + 0.0339468i
\(505\) −4.29124 0.330433i −0.190958 0.0147041i
\(506\) 23.4626 4.58127i 1.04304 0.203662i
\(507\) 0.121638i 0.00540214i
\(508\) 16.4027 + 7.49084i 0.727750 + 0.332352i
\(509\) −32.3869 9.50966i −1.43552 0.421508i −0.530797 0.847499i \(-0.678107\pi\)
−0.904727 + 0.425991i \(0.859926\pi\)
\(510\) 1.76288 1.30475i 0.0780618 0.0577751i
\(511\) 2.40710 1.54695i 0.106484 0.0684330i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) −3.15847 0.454119i −0.139450 0.0200498i
\(514\) −14.7235 + 4.32322i −0.649427 + 0.190689i
\(515\) −20.4257 + 26.9778i −0.900064 + 1.18878i
\(516\) −0.147510 1.02596i −0.00649378 0.0451652i
\(517\) 27.1432 12.3959i 1.19376 0.545171i
\(518\) −2.15433 + 0.983851i −0.0946560 + 0.0432279i
\(519\) −0.104900 0.729593i −0.00460458 0.0320256i
\(520\) −6.65902 5.04174i −0.292017 0.221095i
\(521\) −35.8966 + 10.5402i −1.57266 + 0.461774i −0.947774 0.318944i \(-0.896672\pi\)
−0.624884 + 0.780718i \(0.714854\pi\)
\(522\) 6.92480 + 0.995636i 0.303090 + 0.0435778i
\(523\) 16.7895 + 14.5482i 0.734156 + 0.636150i 0.939503 0.342540i \(-0.111287\pi\)
−0.205348 + 0.978689i \(0.565833\pi\)
\(524\) −1.41326 + 0.908245i −0.0617384 + 0.0396769i
\(525\) 0.0953006 + 0.151906i 0.00415926 + 0.00662973i
\(526\) 14.3059 + 4.20059i 0.623767 + 0.183155i
\(527\) 23.2164 + 10.6026i 1.01132 + 0.461855i
\(528\) 0.636669i 0.0277074i
\(529\) −21.3106 + 8.65204i −0.926548 + 0.376176i
\(530\) −23.7744 1.83067i −1.03269 0.0795191i
\(531\) 12.7221 27.8575i 0.552093 1.20891i
\(532\) −0.330298 + 1.12489i −0.0143202 + 0.0487703i
\(533\) −4.53408 + 3.92881i −0.196393 + 0.170175i
\(534\) 0.600916 0.386185i 0.0260042 0.0167119i
\(535\) −11.1821 11.3046i −0.483444 0.488742i
\(536\) 1.29903 9.03495i 0.0561095 0.390250i
\(537\) 0.262324 + 0.893392i 0.0113201 + 0.0385527i
\(538\) 4.51751 7.02938i 0.194763 0.303058i
\(539\) −4.90981 34.1485i −0.211481 1.47088i
\(540\) −1.60444 + 0.588483i −0.0690440 + 0.0253243i
\(541\) 7.77132 + 17.0168i 0.334115 + 0.731610i 0.999894 0.0145386i \(-0.00462794\pi\)
−0.665779 + 0.746149i \(0.731901\pi\)
\(542\) −2.35091 + 0.338010i −0.100980 + 0.0145188i
\(543\) −0.465711 + 0.724661i −0.0199856 + 0.0310982i
\(544\) 7.36814 2.16348i 0.315906 0.0927584i
\(545\) −5.18223 + 23.2125i −0.221982 + 0.994315i
\(546\) −0.0877294 + 0.101245i −0.00375447 + 0.00433289i
\(547\) −10.4448 16.2524i −0.446587 0.694903i 0.542856 0.839826i \(-0.317343\pi\)
−0.989443 + 0.144923i \(0.953707\pi\)
\(548\) 0.611609 0.529962i 0.0261266 0.0226389i
\(549\) 31.0570 + 9.11917i 1.32548 + 0.389197i
\(550\) −20.8187 13.7023i −0.887714 0.584269i
\(551\) 9.78974 0.417057
\(552\) −0.117389 0.601196i −0.00499640 0.0255886i
\(553\) 1.35587i 0.0576577i
\(554\) −4.08334 + 8.94126i −0.173484 + 0.379878i
\(555\) −2.25237 0.854103i −0.0956078 0.0362547i
\(556\) 9.81383 + 11.3258i 0.416199 + 0.480319i
\(557\) 0.377707 + 0.587724i 0.0160040 + 0.0249027i 0.849163 0.528130i \(-0.177107\pi\)
−0.833159 + 0.553033i \(0.813470\pi\)
\(558\) −7.49453 6.49405i −0.317269 0.274915i
\(559\) −4.31389 + 30.0038i −0.182458 + 1.26902i
\(560\) 0.130121 + 0.614255i 0.00549861 + 0.0259570i
\(561\) 4.11298 + 2.64325i 0.173650 + 0.111598i
\(562\) −16.6927 + 2.40004i −0.704138 + 0.101240i
\(563\) −42.9535 + 19.6162i −1.81027 + 0.826724i −0.863886 + 0.503687i \(0.831977\pi\)
−0.946386 + 0.323037i \(0.895296\pi\)
\(564\) −0.317628 0.695508i −0.0133746 0.0292862i
\(565\) −27.7403 + 1.83212i −1.16704 + 0.0770778i
\(566\) 3.08684 + 1.98379i 0.129750 + 0.0833850i
\(567\) −0.700398 2.38534i −0.0294139 0.100175i
\(568\) 3.74536 + 0.538501i 0.157152 + 0.0225950i
\(569\) 9.95551 11.4893i 0.417357 0.481655i −0.507673 0.861550i \(-0.669494\pi\)
0.925030 + 0.379894i \(0.124040\pi\)
\(570\) −1.04968 + 0.565762i −0.0439661 + 0.0236972i
\(571\) 24.3482 + 28.0993i 1.01894 + 1.17592i 0.984297 + 0.176518i \(0.0564833\pi\)
0.0346409 + 0.999400i \(0.488971\pi\)
\(572\) 5.24562 17.8650i 0.219331 0.746971i
\(573\) 1.04054 + 0.475200i 0.0434693 + 0.0198517i
\(574\) 0.451007 0.0188247
\(575\) 22.1852 + 9.10033i 0.925188 + 0.379510i
\(576\) −2.98369 −0.124320
\(577\) 2.45018 + 1.11896i 0.102002 + 0.0465829i 0.465763 0.884910i \(-0.345780\pi\)
−0.363760 + 0.931493i \(0.618507\pi\)
\(578\) 11.8243 40.2700i 0.491827 1.67501i
\(579\) −0.213756 0.246687i −0.00888339 0.0102520i
\(580\) 4.61532 2.48760i 0.191641 0.103292i
\(581\) −2.32531 + 2.68356i −0.0964703 + 0.111333i
\(582\) −0.576690 0.0829155i −0.0239046 0.00343696i
\(583\) −14.9755 51.0018i −0.620221 2.11228i
\(584\) 8.57233 + 5.50910i 0.354726 + 0.227968i
\(585\) 24.8666 1.64232i 1.02811 0.0679017i
\(586\) −7.07824 15.4992i −0.292399 0.640265i
\(587\) 2.43392 1.11153i 0.100458 0.0458778i −0.364552 0.931183i \(-0.618778\pi\)
0.465010 + 0.885305i \(0.346051\pi\)
\(588\) −0.875008 + 0.125807i −0.0360847 + 0.00518820i
\(589\) −11.6738 7.50232i −0.481012 0.309128i
\(590\) −4.75636 22.4531i −0.195816 0.924381i
\(591\) 0.119539 0.831410i 0.00491716 0.0341996i
\(592\) −6.37426 5.52333i −0.261980 0.227007i
\(593\) 6.82295 + 10.6167i 0.280185 + 0.435976i 0.952612 0.304187i \(-0.0983847\pi\)
−0.672428 + 0.740163i \(0.734748\pi\)
\(594\) −2.49477 2.87912i −0.102362 0.118132i
\(595\) 4.50840 + 1.70959i 0.184826 + 0.0700865i
\(596\) −4.53178 + 9.92321i −0.185629 + 0.406470i
\(597\) 1.13928i 0.0466275i
\(598\) −1.65942 + 17.8368i −0.0678588 + 0.729400i
\(599\) 16.1949 0.661704 0.330852 0.943683i \(-0.392664\pi\)
0.330852 + 0.943683i \(0.392664\pi\)
\(600\) −0.351103 + 0.533451i −0.0143337 + 0.0217781i
\(601\) 40.2708 + 11.8246i 1.64268 + 0.482334i 0.966982 0.254845i \(-0.0820243\pi\)
0.675698 + 0.737179i \(0.263843\pi\)
\(602\) 1.72214 1.49224i 0.0701892 0.0608193i
\(603\) 14.7242 + 22.9112i 0.599614 + 0.933018i
\(604\) 9.18127 10.5957i 0.373580 0.431135i
\(605\) 6.74640 30.2188i 0.274280 1.22857i
\(606\) −0.235885 + 0.0692621i −0.00958218 + 0.00281358i
\(607\) 0.896532 1.39503i 0.0363891 0.0566225i −0.822582 0.568646i \(-0.807467\pi\)
0.858972 + 0.512023i \(0.171104\pi\)
\(608\) −4.13267 + 0.594188i −0.167602 + 0.0240975i
\(609\) −0.0349343 0.0764954i −0.00141561 0.00309975i
\(610\) 22.7741 8.35321i 0.922098 0.338211i
\(611\) 3.18224 + 22.1330i 0.128740 + 0.895405i
\(612\) −12.3873 + 19.2751i −0.500728 + 0.779148i
\(613\) 7.58275 + 25.8245i 0.306264 + 1.04304i 0.958516 + 0.285039i \(0.0920064\pi\)
−0.652252 + 0.758003i \(0.726175\pi\)
\(614\) −0.297219 + 2.06721i −0.0119948 + 0.0834257i
\(615\) 0.322593 + 0.326129i 0.0130082 + 0.0131508i
\(616\) −1.17749 + 0.756730i −0.0474426 + 0.0304895i
\(617\) −26.1497 + 22.6589i −1.05275 + 0.912211i −0.996278 0.0861928i \(-0.972530\pi\)
−0.0564697 + 0.998404i \(0.517984\pi\)
\(618\) −0.544545 + 1.85455i −0.0219048 + 0.0746009i
\(619\) −12.1489 + 26.6024i −0.488305 + 1.06924i 0.491791 + 0.870713i \(0.336343\pi\)
−0.980096 + 0.198525i \(0.936385\pi\)
\(620\) −7.40994 0.570578i −0.297590 0.0229150i
\(621\) 2.88663 + 2.25872i 0.115836 + 0.0906394i
\(622\) 13.9007i 0.557367i
\(623\) 1.42847 + 0.652360i 0.0572304 + 0.0261362i
\(624\) −0.457765 0.134412i −0.0183253 0.00538078i
\(625\) −9.88717 22.9618i −0.395487 0.918472i
\(626\) −8.70847 + 5.59660i −0.348061 + 0.223685i
\(627\) −2.00893 1.74075i −0.0802290 0.0695188i
\(628\) 3.11916 + 0.448467i 0.124468 + 0.0178958i
\(629\) −62.1455 + 18.2476i −2.47790 + 0.727578i
\(630\) −1.49360 1.13085i −0.0595066 0.0450542i
\(631\) −2.97986 20.7254i −0.118626 0.825063i −0.959071 0.283166i \(-0.908615\pi\)
0.840445 0.541897i \(-0.182294\pi\)
\(632\) 4.39228 2.00589i 0.174715 0.0797899i
\(633\) −1.60065 + 0.730993i −0.0636202 + 0.0290544i
\(634\) 0.241988 + 1.68306i 0.00961057 + 0.0668430i
\(635\) −24.3392 + 32.1466i −0.965870 + 1.27570i
\(636\) −1.30685 + 0.383726i −0.0518200 + 0.0152157i
\(637\) 25.5893 + 3.67919i 1.01389 + 0.145775i
\(638\) 8.83307 + 7.65390i 0.349705 + 0.303021i
\(639\) −9.49765 + 6.10377i −0.375721 + 0.241461i
\(640\) −1.79734 + 1.33025i −0.0710462 + 0.0525827i
\(641\) 7.35104 + 2.15846i 0.290349 + 0.0852540i 0.423663 0.905820i \(-0.360744\pi\)
−0.133315 + 0.991074i \(0.542562\pi\)
\(642\) −0.826181 0.377304i −0.0326068 0.0148910i
\(643\) 39.1290i 1.54310i −0.636170 0.771549i \(-0.719482\pi\)
0.636170 0.771549i \(-0.280518\pi\)
\(644\) 0.972363 0.931673i 0.0383165 0.0367131i
\(645\) 2.31086 + 0.177940i 0.0909900 + 0.00700639i
\(646\) −13.3190 + 29.1645i −0.524029 + 1.14746i
\(647\) 6.68277 22.7594i 0.262727 0.894766i −0.717445 0.696616i \(-0.754688\pi\)
0.980172 0.198150i \(-0.0634935\pi\)
\(648\) 6.69099 5.79777i 0.262847 0.227758i
\(649\) 43.0415 27.6611i 1.68953 1.08579i
\(650\) 14.2472 12.0759i 0.558820 0.473655i
\(651\) −0.0169643 + 0.117989i −0.000664883 + 0.00462436i
\(652\) −3.23611 11.0212i −0.126736 0.431622i
\(653\) −12.9480 + 20.1475i −0.506695 + 0.788433i −0.996517 0.0833895i \(-0.973425\pi\)
0.489822 + 0.871823i \(0.337062\pi\)
\(654\) 0.193342 + 1.34472i 0.00756027 + 0.0525828i
\(655\) −1.29355 3.52672i −0.0505431 0.137800i
\(656\) 0.667222 + 1.46101i 0.0260506 + 0.0570429i
\(657\) −30.0941 + 4.32688i −1.17408 + 0.168808i
\(658\) 0.908791 1.41411i 0.0354284 0.0551276i
\(659\) 25.4360 7.46869i 0.990847 0.290939i 0.254152 0.967164i \(-0.418204\pi\)
0.736695 + 0.676225i \(0.236385\pi\)
\(660\) −1.38943 0.310193i −0.0540835 0.0120742i
\(661\) −1.73503 + 2.00233i −0.0674849 + 0.0778817i −0.788488 0.615050i \(-0.789136\pi\)
0.721003 + 0.692932i \(0.243681\pi\)
\(662\) 1.17300 + 1.82523i 0.0455901 + 0.0709395i
\(663\) −2.76882 + 2.39919i −0.107532 + 0.0931770i
\(664\) −12.1333 3.56266i −0.470863 0.138258i
\(665\) −2.29398 1.26889i −0.0889566 0.0492053i
\(666\) 25.1655 0.975142
\(667\) −9.75215 5.59881i −0.377605 0.216787i
\(668\) 13.7748i 0.532965i
\(669\) 0.0183270 0.0401305i 0.000708563 0.00155154i
\(670\) 19.0845 + 7.23686i 0.737297 + 0.279584i
\(671\) 35.4120 + 40.8676i 1.36707 + 1.57768i
\(672\) 0.0193902 + 0.0301717i 0.000747991 + 0.00116390i
\(673\) 18.7465 + 16.2439i 0.722623 + 0.626156i 0.936485 0.350708i \(-0.114059\pi\)
−0.213862 + 0.976864i \(0.568604\pi\)
\(674\) −2.24127 + 15.5884i −0.0863305 + 0.600442i
\(675\) −0.502571 3.78815i −0.0193440 0.145806i
\(676\) 0.801161 + 0.514875i 0.0308139 + 0.0198029i
\(677\) 14.8204 2.13086i 0.569595 0.0818954i 0.148501 0.988912i \(-0.452555\pi\)
0.421094 + 0.907017i \(0.361646\pi\)
\(678\) −1.44449 + 0.659676i −0.0554752 + 0.0253347i
\(679\) −0.532092 1.16512i −0.0204198 0.0447131i
\(680\) 1.13161 + 17.1339i 0.0433954 + 0.657054i
\(681\) −0.834864 0.536534i −0.0319920 0.0205600i
\(682\) −4.66753 15.8961i −0.178729 0.608694i
\(683\) 21.5081 + 3.09240i 0.822986 + 0.118327i 0.540927 0.841070i \(-0.318074\pi\)
0.282059 + 0.959397i \(0.408983\pi\)
\(684\) 8.15785 9.41466i 0.311923 0.359979i
\(685\) 0.858576 + 1.59294i 0.0328045 + 0.0608633i
\(686\) −2.55988 2.95426i −0.0977367 0.112794i
\(687\) −0.256937 + 0.875048i −0.00980277 + 0.0333852i
\(688\) 7.38178 + 3.37114i 0.281428 + 0.128524i
\(689\) 39.8319 1.51747
\(690\) 1.36921 + 0.0367271i 0.0521249 + 0.00139818i
\(691\) −44.9009 −1.70811 −0.854056 0.520181i \(-0.825865\pi\)
−0.854056 + 0.520181i \(0.825865\pi\)
\(692\) 5.24943 + 2.39734i 0.199553 + 0.0911330i
\(693\) 1.17658 4.00707i 0.0446946 0.152216i
\(694\) 5.20623 + 6.00831i 0.197626 + 0.228072i
\(695\) −29.4981 + 15.8991i −1.11893 + 0.603087i
\(696\) 0.196121 0.226335i 0.00743393 0.00857922i
\(697\) 12.2085 + 1.75531i 0.462428 + 0.0664871i
\(698\) −3.61369 12.3071i −0.136780 0.465831i
\(699\) 0.961654 + 0.618017i 0.0363731 + 0.0233756i
\(700\) −1.40391 0.0153039i −0.0530629 0.000578435i
\(701\) 17.1355 + 37.5215i 0.647198 + 1.41717i 0.893985 + 0.448096i \(0.147898\pi\)
−0.246788 + 0.969070i \(0.579375\pi\)
\(702\) 2.59678 1.18591i 0.0980091 0.0447593i
\(703\) 34.8564 5.01159i 1.31463 0.189016i
\(704\) −4.19337 2.69492i −0.158044 0.101568i
\(705\) 1.67259 0.354314i 0.0629934 0.0133442i
\(706\) 1.22112 8.49310i 0.0459576 0.319642i
\(707\) −0.408465 0.353937i −0.0153619 0.0133112i
\(708\) −0.708777 1.10288i −0.0266375 0.0414487i
\(709\) 15.1105 + 17.4385i 0.567488 + 0.654916i 0.964867 0.262738i \(-0.0846256\pi\)
−0.397379 + 0.917655i \(0.630080\pi\)
\(710\) −2.99998 + 7.91129i −0.112587 + 0.296905i
\(711\) −5.98494 + 13.1052i −0.224453 + 0.491483i
\(712\) 5.59255i 0.209590i
\(713\) 7.33839 + 14.1499i 0.274825 + 0.529916i
\(714\) 0.275415 0.0103072
\(715\) 36.4317 + 20.1518i 1.36247 + 0.753633i
\(716\) −6.99464 2.05381i −0.261402 0.0767545i
\(717\) −1.84965 + 1.60273i −0.0690764 + 0.0598550i
\(718\) −15.2289 23.6966i −0.568336 0.884349i
\(719\) −20.6369 + 23.8163i −0.769628 + 0.888198i −0.996315 0.0857693i \(-0.972665\pi\)
0.226687 + 0.973968i \(0.427211\pi\)
\(720\) 1.45369 6.51143i 0.0541757 0.242667i
\(721\) −4.07715 + 1.19716i −0.151841 + 0.0445846i
\(722\) −0.847720 + 1.31908i −0.0315489 + 0.0490910i
\(723\) −1.96684 + 0.282789i −0.0731477 + 0.0105170i
\(724\) −2.80165 6.13475i −0.104122 0.227996i
\(725\) 3.18016 + 11.2842i 0.118108 + 0.419085i
\(726\) −0.251699 1.75060i −0.00934142 0.0649710i
\(727\) −5.62176 + 8.74764i −0.208500 + 0.324432i −0.929715 0.368279i \(-0.879947\pi\)
0.721216 + 0.692710i \(0.243584\pi\)
\(728\) −0.295499 1.00638i −0.0109519 0.0372988i
\(729\) −3.71770 + 25.8571i −0.137692 + 0.957672i
\(730\) −16.1993 + 16.0237i −0.599563 + 0.593063i
\(731\) 52.4249 33.6915i 1.93901 1.24612i
\(732\) 1.04718 0.907384i 0.0387048 0.0335379i
\(733\) −10.6777 + 36.3650i −0.394391 + 1.34317i 0.488077 + 0.872801i \(0.337699\pi\)
−0.882468 + 0.470373i \(0.844120\pi\)
\(734\) 3.21043 7.02986i 0.118499 0.259477i
\(735\) 0.151760 1.97086i 0.00559775 0.0726964i
\(736\) 4.45662 + 1.77159i 0.164273 + 0.0653018i
\(737\) 45.4993i 1.67599i
\(738\) −4.35920 1.99078i −0.160464 0.0732816i
\(739\) −46.3361 13.6055i −1.70450 0.500487i −0.722824 0.691032i \(-0.757156\pi\)
−0.981678 + 0.190545i \(0.938974\pi\)
\(740\) 15.1594 11.2198i 0.557271 0.412448i
\(741\) 1.67572 1.07692i 0.0615591 0.0395616i
\(742\) −2.26298 1.96088i −0.0830767 0.0719863i
\(743\) 14.8177 + 2.13047i 0.543609 + 0.0781592i 0.408649 0.912692i \(-0.366000\pi\)
0.134961 + 0.990851i \(0.456909\pi\)
\(744\) −0.407317 + 0.119599i −0.0149329 + 0.00438471i
\(745\) −19.4479 14.7246i −0.712516 0.539468i
\(746\) 2.77552 + 19.3041i 0.101619 + 0.706775i
\(747\) 34.3207 15.6737i 1.25573 0.573472i
\(748\) −34.8191 + 15.9014i −1.27311 + 0.581412i
\(749\) −0.284170 1.97645i −0.0103833 0.0722178i
\(750\) −0.993113 1.02613i −0.0362634 0.0374690i
\(751\) 19.9134 5.84711i 0.726651 0.213364i 0.102573 0.994726i \(-0.467293\pi\)
0.624079 + 0.781361i \(0.285474\pi\)
\(752\) 5.92538 + 0.851942i 0.216077 + 0.0310671i
\(753\) 1.96194 + 1.70003i 0.0714970 + 0.0619525i
\(754\) −7.36797 + 4.73511i −0.268326 + 0.172442i
\(755\) 18.6503 + 25.1991i 0.678755 + 0.917087i
\(756\) −0.205913 0.0604614i −0.00748897 0.00219896i
\(757\) −20.9559 9.57022i −0.761654 0.347836i −0.00357061 0.999994i \(-0.501137\pi\)
−0.758083 + 0.652158i \(0.773864\pi\)
\(758\) 25.7946i 0.936904i
\(759\) 1.00567 + 2.88299i 0.0365036 + 0.104646i
\(760\) 0.716763 9.30840i 0.0259997 0.337651i
\(761\) −1.72489 + 3.77698i −0.0625271 + 0.136915i −0.938316 0.345779i \(-0.887615\pi\)
0.875789 + 0.482695i \(0.160342\pi\)
\(762\) −0.648877 + 2.20987i −0.0235063 + 0.0800552i
\(763\) −2.25721 + 1.95589i −0.0817166 + 0.0708078i
\(764\) −7.53432 + 4.84201i −0.272582 + 0.175178i
\(765\) −36.0296 36.4245i −1.30265 1.31693i
\(766\) 3.52465 24.5145i 0.127351 0.885745i
\(767\) 10.8015 + 36.7866i 0.390020 + 1.32829i
\(768\) −0.0690535 + 0.107449i −0.00249175 + 0.00387725i
\(769\) 1.75312 + 12.1932i 0.0632190 + 0.439698i 0.996707 + 0.0810887i \(0.0258397\pi\)
−0.933488 + 0.358609i \(0.883251\pi\)
\(770\) −1.07776 2.93839i −0.0388396 0.105892i
\(771\) −0.814197 1.78284i −0.0293226 0.0642075i
\(772\) 2.52958 0.363699i