Properties

Label 76.2.k.a.15.4
Level $76$
Weight $2$
Character 76.15
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 15.4
Character \(\chi\) \(=\) 76.15
Dual form 76.2.k.a.71.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.312491 + 1.37926i) q^{2} +(-0.547993 - 3.10782i) q^{3} +(-1.80470 - 0.862010i) q^{4} +(1.46633 - 1.23040i) q^{5} +(4.45773 + 0.215343i) q^{6} +(1.58907 + 0.917452i) q^{7} +(1.75289 - 2.21977i) q^{8} +(-6.53918 + 2.38007i) q^{9} +O(q^{10})\) \(q+(-0.312491 + 1.37926i) q^{2} +(-0.547993 - 3.10782i) q^{3} +(-1.80470 - 0.862010i) q^{4} +(1.46633 - 1.23040i) q^{5} +(4.45773 + 0.215343i) q^{6} +(1.58907 + 0.917452i) q^{7} +(1.75289 - 2.21977i) q^{8} +(-6.53918 + 2.38007i) q^{9} +(1.23882 + 2.40694i) q^{10} +(-2.10674 + 1.21633i) q^{11} +(-1.69001 + 6.08106i) q^{12} +(2.49843 + 0.440541i) q^{13} +(-1.76197 + 1.90504i) q^{14} +(-4.62741 - 3.88286i) q^{15} +(2.51388 + 3.11134i) q^{16} +(0.818624 + 0.297955i) q^{17} +(-1.23929 - 9.76296i) q^{18} +(4.35874 + 0.0369281i) q^{19} +(-3.70691 + 0.956507i) q^{20} +(1.98048 - 5.44131i) q^{21} +(-1.01929 - 3.28582i) q^{22} +(-4.69241 + 5.59220i) q^{23} +(-7.85923 - 4.23124i) q^{24} +(-0.231990 + 1.31568i) q^{25} +(-1.38836 + 3.30832i) q^{26} +(6.24660 + 10.8194i) q^{27} +(-2.07695 - 3.02552i) q^{28} +(-0.967934 - 2.65938i) q^{29} +(6.80148 - 5.16903i) q^{30} +(2.07350 - 3.59141i) q^{31} +(-5.07690 + 2.49502i) q^{32} +(4.93460 + 5.88083i) q^{33} +(-0.666769 + 1.03598i) q^{34} +(3.45895 - 0.609906i) q^{35} +(13.8529 + 1.34154i) q^{36} -1.48548i q^{37} +(-1.41300 + 6.00029i) q^{38} -8.00610i q^{39} +(-0.160893 - 5.41168i) q^{40} +(-1.43355 + 0.252774i) q^{41} +(6.88609 + 4.43195i) q^{42} +(5.26751 + 6.27757i) q^{43} +(4.85052 - 0.379072i) q^{44} +(-6.66019 + 11.5358i) q^{45} +(-6.24674 - 8.21955i) q^{46} +(-0.855159 - 2.34953i) q^{47} +(8.29190 - 9.51767i) q^{48} +(-1.81656 - 3.14638i) q^{49} +(-1.74217 - 0.731112i) q^{50} +(0.477390 - 2.70741i) q^{51} +(-4.12917 - 2.94872i) q^{52} +(-1.18928 + 1.41733i) q^{53} +(-16.8748 + 5.23470i) q^{54} +(-1.59262 + 4.37567i) q^{55} +(4.82200 - 1.91919i) q^{56} +(-2.27379 - 13.5664i) q^{57} +(3.97043 - 0.503998i) q^{58} +(-6.43248 - 2.34123i) q^{59} +(5.00401 + 10.9963i) q^{60} +(-8.58916 - 7.20716i) q^{61} +(4.30553 + 3.98217i) q^{62} +(-12.5748 - 2.21728i) q^{63} +(-1.85478 - 7.78202i) q^{64} +(4.20558 - 2.42810i) q^{65} +(-9.65319 + 4.96838i) q^{66} +(-2.59900 + 0.945959i) q^{67} +(-1.22053 - 1.24338i) q^{68} +(19.9510 + 11.5187i) q^{69} +(-0.239673 + 4.96136i) q^{70} +(6.12140 - 5.13647i) q^{71} +(-6.17923 + 18.6875i) q^{72} +(2.02346 + 11.4756i) q^{73} +(2.04886 + 0.464198i) q^{74} +4.21603 q^{75} +(-7.83439 - 3.82393i) q^{76} -4.46368 q^{77} +(11.0425 + 2.50183i) q^{78} +(0.908863 + 5.15442i) q^{79} +(7.51438 + 1.46919i) q^{80} +(14.2094 - 11.9231i) q^{81} +(0.0993319 - 2.05623i) q^{82} +(-8.19927 - 4.73385i) q^{83} +(-8.26463 + 8.11274i) q^{84} +(1.56698 - 0.570334i) q^{85} +(-10.3044 + 5.30356i) q^{86} +(-7.73445 + 4.46548i) q^{87} +(-0.992905 + 6.80856i) q^{88} +(-6.18655 - 1.09085i) q^{89} +(-13.8296 - 12.7909i) q^{90} +(3.56602 + 2.99225i) q^{91} +(13.2889 - 6.04733i) q^{92} +(-12.2977 - 4.47601i) q^{93} +(3.50784 - 0.445277i) q^{94} +(6.43681 - 5.30885i) q^{95} +(10.5362 + 14.4108i) q^{96} +(-2.11617 + 5.81414i) q^{97} +(4.90733 - 1.52229i) q^{98} +(10.8814 - 12.9680i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.312491 + 1.37926i −0.220964 + 0.975282i
\(3\) −0.547993 3.10782i −0.316384 1.79430i −0.564353 0.825534i \(-0.690874\pi\)
0.247969 0.968768i \(-0.420237\pi\)
\(4\) −1.80470 0.862010i −0.902349 0.431005i
\(5\) 1.46633 1.23040i 0.655765 0.550252i −0.253049 0.967453i \(-0.581433\pi\)
0.908814 + 0.417201i \(0.136989\pi\)
\(6\) 4.45773 + 0.215343i 1.81986 + 0.0879135i
\(7\) 1.58907 + 0.917452i 0.600613 + 0.346764i 0.769283 0.638909i \(-0.220614\pi\)
−0.168670 + 0.985673i \(0.553947\pi\)
\(8\) 1.75289 2.21977i 0.619739 0.784808i
\(9\) −6.53918 + 2.38007i −2.17973 + 0.793356i
\(10\) 1.23882 + 2.40694i 0.391750 + 0.761142i
\(11\) −2.10674 + 1.21633i −0.635206 + 0.366736i −0.782765 0.622317i \(-0.786191\pi\)
0.147560 + 0.989053i \(0.452858\pi\)
\(12\) −1.69001 + 6.08106i −0.487865 + 1.75545i
\(13\) 2.49843 + 0.440541i 0.692941 + 0.122184i 0.509017 0.860756i \(-0.330009\pi\)
0.183924 + 0.982940i \(0.441120\pi\)
\(14\) −1.76197 + 1.90504i −0.470907 + 0.509145i
\(15\) −4.62741 3.88286i −1.19479 1.00255i
\(16\) 2.51388 + 3.11134i 0.628469 + 0.777835i
\(17\) 0.818624 + 0.297955i 0.198545 + 0.0722646i 0.439379 0.898302i \(-0.355199\pi\)
−0.240833 + 0.970566i \(0.577421\pi\)
\(18\) −1.23929 9.76296i −0.292103 2.30115i
\(19\) 4.35874 + 0.0369281i 0.999964 + 0.00847188i
\(20\) −3.70691 + 0.956507i −0.828890 + 0.213882i
\(21\) 1.98048 5.44131i 0.432175 1.18739i
\(22\) −1.01929 3.28582i −0.217313 0.700540i
\(23\) −4.69241 + 5.59220i −0.978436 + 1.16605i 0.00767613 + 0.999971i \(0.497557\pi\)
−0.986112 + 0.166084i \(0.946888\pi\)
\(24\) −7.85923 4.23124i −1.60426 0.863698i
\(25\) −0.231990 + 1.31568i −0.0463980 + 0.263136i
\(26\) −1.38836 + 3.30832i −0.272279 + 0.648815i
\(27\) 6.24660 + 10.8194i 1.20216 + 2.08220i
\(28\) −2.07695 3.02552i −0.392506 0.571770i
\(29\) −0.967934 2.65938i −0.179741 0.493834i 0.816802 0.576918i \(-0.195745\pi\)
−0.996542 + 0.0830848i \(0.973523\pi\)
\(30\) 6.80148 5.16903i 1.24177 0.943731i
\(31\) 2.07350 3.59141i 0.372412 0.645036i −0.617524 0.786552i \(-0.711864\pi\)
0.989936 + 0.141516i \(0.0451975\pi\)
\(32\) −5.07690 + 2.49502i −0.897477 + 0.441061i
\(33\) 4.93460 + 5.88083i 0.859004 + 1.02372i
\(34\) −0.666769 + 1.03598i −0.114350 + 0.177670i
\(35\) 3.45895 0.609906i 0.584669 0.103093i
\(36\) 13.8529 + 1.34154i 2.30882 + 0.223590i
\(37\) 1.48548i 0.244211i −0.992517 0.122106i \(-0.961035\pi\)
0.992517 0.122106i \(-0.0389646\pi\)
\(38\) −1.41300 + 6.00029i −0.229219 + 0.973375i
\(39\) 8.00610i 1.28200i
\(40\) −0.160893 5.41168i −0.0254394 0.855662i
\(41\) −1.43355 + 0.252774i −0.223883 + 0.0394766i −0.284464 0.958687i \(-0.591816\pi\)
0.0605811 + 0.998163i \(0.480705\pi\)
\(42\) 6.88609 + 4.43195i 1.06255 + 0.683864i
\(43\) 5.26751 + 6.27757i 0.803288 + 0.957321i 0.999731 0.0231942i \(-0.00738360\pi\)
−0.196443 + 0.980515i \(0.562939\pi\)
\(44\) 4.85052 0.379072i 0.731243 0.0571472i
\(45\) −6.66019 + 11.5358i −0.992843 + 1.71965i
\(46\) −6.24674 8.21955i −0.921032 1.21191i
\(47\) −0.855159 2.34953i −0.124738 0.342714i 0.861568 0.507643i \(-0.169483\pi\)
−0.986306 + 0.164928i \(0.947261\pi\)
\(48\) 8.29190 9.51767i 1.19683 1.37376i
\(49\) −1.81656 3.14638i −0.259509 0.449483i
\(50\) −1.74217 0.731112i −0.246379 0.103395i
\(51\) 0.477390 2.70741i 0.0668480 0.379114i
\(52\) −4.12917 2.94872i −0.572613 0.408914i
\(53\) −1.18928 + 1.41733i −0.163360 + 0.194685i −0.841515 0.540234i \(-0.818336\pi\)
0.678154 + 0.734919i \(0.262780\pi\)
\(54\) −16.8748 + 5.23470i −2.29637 + 0.712352i
\(55\) −1.59262 + 4.37567i −0.214748 + 0.590016i
\(56\) 4.82200 1.91919i 0.644367 0.256463i
\(57\) −2.27379 13.5664i −0.301171 1.79692i
\(58\) 3.97043 0.503998i 0.521343 0.0661782i
\(59\) −6.43248 2.34123i −0.837437 0.304802i −0.112530 0.993648i \(-0.535895\pi\)
−0.724907 + 0.688846i \(0.758118\pi\)
\(60\) 5.00401 + 10.9963i 0.646015 + 1.41961i
\(61\) −8.58916 7.20716i −1.09973 0.922782i −0.102322 0.994751i \(-0.532627\pi\)
−0.997407 + 0.0719693i \(0.977072\pi\)
\(62\) 4.30553 + 3.98217i 0.546802 + 0.505737i
\(63\) −12.5748 2.21728i −1.58428 0.279351i
\(64\) −1.85478 7.78202i −0.231848 0.972752i
\(65\) 4.20558 2.42810i 0.521639 0.301168i
\(66\) −9.65319 + 4.96838i −1.18823 + 0.611565i
\(67\) −2.59900 + 0.945959i −0.317519 + 0.115567i −0.495863 0.868401i \(-0.665148\pi\)
0.178344 + 0.983968i \(0.442926\pi\)
\(68\) −1.22053 1.24338i −0.148011 0.150782i
\(69\) 19.9510 + 11.5187i 2.40181 + 1.38669i
\(70\) −0.239673 + 4.96136i −0.0286464 + 0.592997i
\(71\) 6.12140 5.13647i 0.726477 0.609587i −0.202692 0.979243i \(-0.564969\pi\)
0.929169 + 0.369656i \(0.120524\pi\)
\(72\) −6.17923 + 18.6875i −0.728229 + 2.20234i
\(73\) 2.02346 + 11.4756i 0.236828 + 1.34312i 0.838730 + 0.544547i \(0.183299\pi\)
−0.601902 + 0.798570i \(0.705590\pi\)
\(74\) 2.04886 + 0.464198i 0.238175 + 0.0539620i
\(75\) 4.21603 0.486825
\(76\) −7.83439 3.82393i −0.898666 0.438634i
\(77\) −4.46368 −0.508684
\(78\) 11.0425 + 2.50183i 1.25031 + 0.283277i
\(79\) 0.908863 + 5.15442i 0.102255 + 0.579918i 0.992281 + 0.124008i \(0.0395749\pi\)
−0.890026 + 0.455910i \(0.849314\pi\)
\(80\) 7.51438 + 1.46919i 0.840133 + 0.164260i
\(81\) 14.2094 11.9231i 1.57882 1.32479i
\(82\) 0.0993319 2.05623i 0.0109694 0.227072i
\(83\) −8.19927 4.73385i −0.899987 0.519608i −0.0227911 0.999740i \(-0.507255\pi\)
−0.877196 + 0.480132i \(0.840589\pi\)
\(84\) −8.26463 + 8.11274i −0.901745 + 0.885172i
\(85\) 1.56698 0.570334i 0.169963 0.0618614i
\(86\) −10.3044 + 5.30356i −1.11116 + 0.571898i
\(87\) −7.73445 + 4.46548i −0.829220 + 0.478750i
\(88\) −0.992905 + 6.80856i −0.105844 + 0.725795i
\(89\) −6.18655 1.09085i −0.655773 0.115630i −0.164145 0.986436i \(-0.552487\pi\)
−0.491627 + 0.870806i \(0.663598\pi\)
\(90\) −13.8296 12.7909i −1.45776 1.34828i
\(91\) 3.56602 + 2.99225i 0.373820 + 0.313673i
\(92\) 13.2889 6.04733i 1.38547 0.630477i
\(93\) −12.2977 4.47601i −1.27521 0.464140i
\(94\) 3.50784 0.445277i 0.361806 0.0459268i
\(95\) 6.43681 5.30885i 0.660403 0.544677i
\(96\) 10.5362 + 14.4108i 1.07534 + 1.47080i
\(97\) −2.11617 + 5.81414i −0.214865 + 0.590337i −0.999564 0.0295408i \(-0.990595\pi\)
0.784699 + 0.619877i \(0.212818\pi\)
\(98\) 4.90733 1.52229i 0.495715 0.153775i
\(99\) 10.8814 12.9680i 1.09362 1.30333i
\(100\) 1.55280 2.17443i 0.155280 0.217443i
\(101\) −0.868620 + 4.92619i −0.0864309 + 0.490174i 0.910608 + 0.413272i \(0.135614\pi\)
−0.997039 + 0.0769024i \(0.975497\pi\)
\(102\) 3.58504 + 1.50449i 0.354972 + 0.148966i
\(103\) −7.63840 13.2301i −0.752634 1.30360i −0.946542 0.322581i \(-0.895449\pi\)
0.193907 0.981020i \(-0.437884\pi\)
\(104\) 5.35737 4.77374i 0.525334 0.468104i
\(105\) −3.79096 10.4156i −0.369959 1.01645i
\(106\) −1.58322 2.08322i −0.153776 0.202341i
\(107\) 2.60064 4.50444i 0.251414 0.435461i −0.712502 0.701670i \(-0.752438\pi\)
0.963915 + 0.266209i \(0.0857713\pi\)
\(108\) −1.94677 24.9105i −0.187328 2.39701i
\(109\) 0.530188 + 0.631854i 0.0507828 + 0.0605206i 0.790838 0.612026i \(-0.209645\pi\)
−0.740055 + 0.672546i \(0.765201\pi\)
\(110\) −5.53750 3.56398i −0.527980 0.339813i
\(111\) −4.61660 + 0.814031i −0.438188 + 0.0772644i
\(112\) 1.14023 + 7.25050i 0.107742 + 0.685108i
\(113\) 7.40610i 0.696707i 0.937363 + 0.348353i \(0.113259\pi\)
−0.937363 + 0.348353i \(0.886741\pi\)
\(114\) 19.4221 + 1.10324i 1.81905 + 0.103328i
\(115\) 13.9736i 1.30304i
\(116\) −0.545581 + 5.63374i −0.0506559 + 0.523080i
\(117\) −17.3862 + 3.06566i −1.60736 + 0.283421i
\(118\) 5.23925 8.14042i 0.482312 0.749387i
\(119\) 1.02749 + 1.22452i 0.0941902 + 0.112252i
\(120\) −16.7304 + 3.46559i −1.52727 + 0.316364i
\(121\) −2.54110 + 4.40132i −0.231009 + 0.400120i
\(122\) 12.6246 9.59448i 1.14297 0.868644i
\(123\) 1.57115 + 4.31671i 0.141666 + 0.389224i
\(124\) −6.83788 + 4.69403i −0.614060 + 0.421537i
\(125\) 6.06405 + 10.5032i 0.542385 + 0.939438i
\(126\) 6.98772 16.6510i 0.622516 1.48339i
\(127\) −0.543667 + 3.08329i −0.0482426 + 0.273598i −0.999381 0.0351659i \(-0.988804\pi\)
0.951139 + 0.308764i \(0.0999152\pi\)
\(128\) 11.3130 0.126411i 0.999938 0.0111733i
\(129\) 16.6230 19.8105i 1.46358 1.74422i
\(130\) 2.03476 + 6.55934i 0.178460 + 0.575292i
\(131\) −3.36828 + 9.25428i −0.294288 + 0.808550i 0.701139 + 0.713025i \(0.252675\pi\)
−0.995427 + 0.0955253i \(0.969547\pi\)
\(132\) −3.83613 14.8668i −0.333893 1.29399i
\(133\) 6.89248 + 4.05762i 0.597654 + 0.351840i
\(134\) −0.492556 3.88029i −0.0425504 0.335206i
\(135\) 22.4719 + 8.17909i 1.93407 + 0.703944i
\(136\) 2.09635 1.29488i 0.179760 0.111035i
\(137\) 13.0208 + 10.9257i 1.11244 + 0.933448i 0.998198 0.0600045i \(-0.0191115\pi\)
0.114242 + 0.993453i \(0.463556\pi\)
\(138\) −22.1217 + 23.9180i −1.88313 + 2.03604i
\(139\) 9.34767 + 1.64825i 0.792859 + 0.139803i 0.555387 0.831592i \(-0.312570\pi\)
0.237472 + 0.971394i \(0.423681\pi\)
\(140\) −6.76810 1.88095i −0.572009 0.158969i
\(141\) −6.83330 + 3.94521i −0.575468 + 0.332246i
\(142\) 5.17163 + 10.0481i 0.433993 + 0.843217i
\(143\) −5.79939 + 2.11081i −0.484970 + 0.176514i
\(144\) −23.8439 14.3624i −1.98699 1.19687i
\(145\) −4.69141 2.70859i −0.389601 0.224936i
\(146\) −16.4601 0.795153i −1.36225 0.0658073i
\(147\) −8.78293 + 7.36975i −0.724404 + 0.607847i
\(148\) −1.28050 + 2.68084i −0.105256 + 0.220364i
\(149\) −3.22494 18.2896i −0.264198 1.49834i −0.771310 0.636459i \(-0.780398\pi\)
0.507112 0.861880i \(-0.330713\pi\)
\(150\) −1.31747 + 5.81498i −0.107571 + 0.474792i
\(151\) −5.44123 −0.442801 −0.221400 0.975183i \(-0.571063\pi\)
−0.221400 + 0.975183i \(0.571063\pi\)
\(152\) 7.72235 9.61069i 0.626365 0.779530i
\(153\) −6.06228 −0.490107
\(154\) 1.39486 6.15656i 0.112401 0.496110i
\(155\) −1.37843 7.81745i −0.110718 0.627913i
\(156\) −6.90135 + 14.4486i −0.552550 + 1.15681i
\(157\) 9.83579 8.25321i 0.784982 0.658678i −0.159516 0.987195i \(-0.550993\pi\)
0.944498 + 0.328518i \(0.106549\pi\)
\(158\) −7.39328 0.357154i −0.588178 0.0284136i
\(159\) 5.05652 + 2.91938i 0.401008 + 0.231522i
\(160\) −4.37456 + 9.90515i −0.345840 + 0.783071i
\(161\) −12.5872 + 4.58135i −0.992007 + 0.361061i
\(162\) 12.0047 + 23.3243i 0.943180 + 1.83253i
\(163\) 16.8860 9.74913i 1.32261 0.763611i 0.338468 0.940978i \(-0.390091\pi\)
0.984145 + 0.177367i \(0.0567581\pi\)
\(164\) 2.80502 + 0.779556i 0.219036 + 0.0608731i
\(165\) 14.4716 + 2.55173i 1.12661 + 0.198652i
\(166\) 9.09140 9.82962i 0.705629 0.762926i
\(167\) 17.0859 + 14.3367i 1.32214 + 1.10941i 0.985846 + 0.167655i \(0.0536196\pi\)
0.336299 + 0.941755i \(0.390825\pi\)
\(168\) −8.60693 13.9342i −0.664039 1.07505i
\(169\) −6.16790 2.24493i −0.474454 0.172687i
\(170\) 0.296970 + 2.33949i 0.0227766 + 0.179431i
\(171\) −28.5905 + 10.1326i −2.18637 + 0.774861i
\(172\) −4.09493 15.8698i −0.312236 1.21006i
\(173\) 7.49191 20.5839i 0.569600 1.56496i −0.235532 0.971867i \(-0.575683\pi\)
0.805132 0.593096i \(-0.202094\pi\)
\(174\) −3.74211 12.0632i −0.283688 0.914510i
\(175\) −1.57572 + 1.87787i −0.119113 + 0.141954i
\(176\) −9.08048 3.49708i −0.684467 0.263603i
\(177\) −3.75117 + 21.2740i −0.281955 + 1.59905i
\(178\) 3.43781 8.19195i 0.257675 0.614013i
\(179\) −4.97474 8.61650i −0.371829 0.644027i 0.618018 0.786164i \(-0.287936\pi\)
−0.989847 + 0.142137i \(0.954603\pi\)
\(180\) 21.9636 15.0775i 1.63707 1.12381i
\(181\) −1.36725 3.75648i −0.101627 0.279217i 0.878451 0.477833i \(-0.158578\pi\)
−0.980077 + 0.198616i \(0.936355\pi\)
\(182\) −5.24142 + 3.98341i −0.388520 + 0.295270i
\(183\) −17.6918 + 30.6430i −1.30781 + 2.26520i
\(184\) 4.18815 + 20.2186i 0.308754 + 1.49053i
\(185\) −1.82773 2.17821i −0.134378 0.160145i
\(186\) 10.0165 15.5630i 0.734445 1.14114i
\(187\) −2.08704 + 0.368001i −0.152619 + 0.0269109i
\(188\) −0.482015 + 4.97735i −0.0351546 + 0.363011i
\(189\) 22.9238i 1.66746i
\(190\) 5.31082 + 10.5370i 0.385288 + 0.764433i
\(191\) 5.39176i 0.390134i −0.980790 0.195067i \(-0.937508\pi\)
0.980790 0.195067i \(-0.0624924\pi\)
\(192\) −23.1687 + 10.0288i −1.67206 + 0.723768i
\(193\) −15.2825 + 2.69472i −1.10006 + 0.193970i −0.694070 0.719908i \(-0.744184\pi\)
−0.405990 + 0.913878i \(0.633073\pi\)
\(194\) −7.35791 4.73561i −0.528267 0.339997i
\(195\) −9.85072 11.7396i −0.705425 0.840692i
\(196\) 0.566138 + 7.24417i 0.0404384 + 0.517441i
\(197\) 2.13117 3.69129i 0.151839 0.262993i −0.780064 0.625699i \(-0.784814\pi\)
0.931904 + 0.362706i \(0.118147\pi\)
\(198\) 14.4858 + 19.0606i 1.02946 + 1.35458i
\(199\) −2.62112 7.20146i −0.185806 0.510498i 0.811459 0.584410i \(-0.198674\pi\)
−0.997265 + 0.0739116i \(0.976452\pi\)
\(200\) 2.51386 + 2.82120i 0.177757 + 0.199489i
\(201\) 4.36411 + 7.55886i 0.307820 + 0.533161i
\(202\) −6.52305 2.73744i −0.458960 0.192606i
\(203\) 0.901732 5.11397i 0.0632892 0.358931i
\(204\) −3.19536 + 4.47455i −0.223720 + 0.313281i
\(205\) −1.79105 + 2.13449i −0.125093 + 0.149080i
\(206\) 20.6346 6.40103i 1.43768 0.445981i
\(207\) 17.3747 47.7367i 1.20763 3.31793i
\(208\) 4.91008 + 8.88094i 0.340453 + 0.615783i
\(209\) −9.22765 + 5.22386i −0.638290 + 0.361342i
\(210\) 15.5504 1.97393i 1.07308 0.136214i
\(211\) −19.2013 6.98869i −1.32187 0.481121i −0.417812 0.908533i \(-0.637203\pi\)
−0.904057 + 0.427412i \(0.859425\pi\)
\(212\) 3.36804 1.53268i 0.231318 0.105265i
\(213\) −19.3177 16.2095i −1.32363 1.11066i
\(214\) 5.40011 + 4.99455i 0.369144 + 0.341420i
\(215\) 15.4479 + 2.72388i 1.05354 + 0.185767i
\(216\) 34.9663 + 5.09919i 2.37915 + 0.346956i
\(217\) 6.58989 3.80468i 0.447351 0.258278i
\(218\) −1.03717 + 0.533817i −0.0702459 + 0.0361547i
\(219\) 34.5553 12.5771i 2.33503 0.849881i
\(220\) 6.64607 6.52392i 0.448078 0.439843i
\(221\) 1.91402 + 1.10506i 0.128751 + 0.0743343i
\(222\) 0.319888 6.62186i 0.0214695 0.444430i
\(223\) −7.79705 + 6.54250i −0.522129 + 0.438118i −0.865373 0.501128i \(-0.832919\pi\)
0.343244 + 0.939246i \(0.388474\pi\)
\(224\) −10.3566 0.693048i −0.691981 0.0463062i
\(225\) −1.61438 9.15562i −0.107626 0.610375i
\(226\) −10.2149 2.31434i −0.679486 0.153947i
\(227\) −12.9399 −0.858848 −0.429424 0.903103i \(-0.641283\pi\)
−0.429424 + 0.903103i \(0.641283\pi\)
\(228\) −7.59089 + 26.4434i −0.502719 + 1.75125i
\(229\) 14.2432 0.941219 0.470610 0.882342i \(-0.344034\pi\)
0.470610 + 0.882342i \(0.344034\pi\)
\(230\) −19.2732 4.36662i −1.27083 0.287926i
\(231\) 2.44607 + 13.8723i 0.160939 + 0.912732i
\(232\) −7.59989 2.51299i −0.498957 0.164986i
\(233\) 12.3534 10.3658i 0.809300 0.679083i −0.141141 0.989990i \(-0.545077\pi\)
0.950441 + 0.310906i \(0.100633\pi\)
\(234\) 1.20471 24.9381i 0.0787540 1.63025i
\(235\) −4.14481 2.39301i −0.270378 0.156103i
\(236\) 9.59052 + 9.77008i 0.624289 + 0.635978i
\(237\) 15.5210 5.64917i 1.00820 0.366953i
\(238\) −2.01001 + 1.03453i −0.130290 + 0.0670584i
\(239\) 18.4124 10.6304i 1.19100 0.687625i 0.232468 0.972604i \(-0.425320\pi\)
0.958534 + 0.284979i \(0.0919867\pi\)
\(240\) 0.448152 24.1584i 0.0289281 1.55942i
\(241\) 5.49009 + 0.968052i 0.353648 + 0.0623577i 0.347650 0.937624i \(-0.386980\pi\)
0.00599789 + 0.999982i \(0.498091\pi\)
\(242\) −5.27647 4.88020i −0.339185 0.313711i
\(243\) −16.1305 13.5351i −1.03477 0.868277i
\(244\) 9.28820 + 20.4107i 0.594616 + 1.30666i
\(245\) −6.53500 2.37855i −0.417506 0.151960i
\(246\) −6.44482 + 0.818091i −0.410906 + 0.0521596i
\(247\) 10.8738 + 2.01247i 0.691881 + 0.128050i
\(248\) −4.33750 10.8980i −0.275432 0.692026i
\(249\) −10.2188 + 28.0760i −0.647592 + 1.77924i
\(250\) −16.3816 + 5.08171i −1.03607 + 0.321396i
\(251\) −5.90861 + 7.04161i −0.372948 + 0.444462i −0.919575 0.392914i \(-0.871467\pi\)
0.546627 + 0.837376i \(0.315912\pi\)
\(252\) 20.7825 + 14.8412i 1.30917 + 0.934906i
\(253\) 3.08375 17.4888i 0.193874 1.09951i
\(254\) −4.08276 1.71336i −0.256175 0.107506i
\(255\) −2.63119 4.55736i −0.164772 0.285393i
\(256\) −3.36086 + 15.6430i −0.210054 + 0.977690i
\(257\) 6.16751 + 16.9451i 0.384719 + 1.05701i 0.969345 + 0.245703i \(0.0790189\pi\)
−0.584626 + 0.811303i \(0.698759\pi\)
\(258\) 22.1293 + 29.1180i 1.37771 + 1.81281i
\(259\) 1.36285 2.36053i 0.0846836 0.146676i
\(260\) −9.68286 + 0.756723i −0.600505 + 0.0469300i
\(261\) 12.6590 + 15.0864i 0.783572 + 0.933824i
\(262\) −11.7115 7.53760i −0.723537 0.465675i
\(263\) −10.7849 + 1.90167i −0.665025 + 0.117262i −0.495963 0.868343i \(-0.665185\pi\)
−0.169062 + 0.985605i \(0.554074\pi\)
\(264\) 21.7039 0.645272i 1.33578 0.0397137i
\(265\) 3.54157i 0.217557i
\(266\) −7.75033 + 8.23853i −0.475203 + 0.505137i
\(267\) 19.8245i 1.21324i
\(268\) 5.50584 + 0.533195i 0.336323 + 0.0325701i
\(269\) 26.9447 4.75109i 1.64285 0.289679i 0.725638 0.688077i \(-0.241545\pi\)
0.917213 + 0.398398i \(0.130434\pi\)
\(270\) −18.3033 + 28.4386i −1.11390 + 1.73072i
\(271\) −15.2661 18.1934i −0.927347 1.10517i −0.994215 0.107407i \(-0.965745\pi\)
0.0668682 0.997762i \(-0.478699\pi\)
\(272\) 1.13088 + 3.29604i 0.0685697 + 0.199852i
\(273\) 7.34521 12.7223i 0.444553 0.769988i
\(274\) −19.1383 + 14.5448i −1.15619 + 0.878684i
\(275\) −1.11155 3.05397i −0.0670292 0.184161i
\(276\) −26.0762 37.9857i −1.56961 2.28647i
\(277\) −1.99118 3.44882i −0.119638 0.207220i 0.799986 0.600019i \(-0.204840\pi\)
−0.919624 + 0.392799i \(0.871507\pi\)
\(278\) −5.19442 + 12.3778i −0.311541 + 0.742370i
\(279\) −5.01121 + 28.4200i −0.300013 + 1.70146i
\(280\) 4.70929 8.74717i 0.281434 0.522743i
\(281\) −3.21635 + 3.83310i −0.191871 + 0.228664i −0.853400 0.521256i \(-0.825464\pi\)
0.661529 + 0.749920i \(0.269908\pi\)
\(282\) −3.30611 10.6577i −0.196876 0.634658i
\(283\) −3.20210 + 8.79770i −0.190345 + 0.522969i −0.997751 0.0670271i \(-0.978649\pi\)
0.807406 + 0.589996i \(0.200871\pi\)
\(284\) −15.4750 + 3.99306i −0.918271 + 0.236945i
\(285\) −20.0263 17.0953i −1.18626 1.01264i
\(286\) −1.09909 8.65846i −0.0649903 0.511985i
\(287\) −2.50993 0.913538i −0.148156 0.0539245i
\(288\) 27.2605 28.3987i 1.60634 1.67341i
\(289\) −12.4414 10.4396i −0.731846 0.614092i
\(290\) 5.20186 5.62425i 0.305464 0.330268i
\(291\) 19.2290 + 3.39059i 1.12722 + 0.198760i
\(292\) 6.24035 22.4542i 0.365189 1.31404i
\(293\) 1.03094 0.595211i 0.0602279 0.0347726i −0.469584 0.882888i \(-0.655596\pi\)
0.529812 + 0.848115i \(0.322263\pi\)
\(294\) −7.42020 14.4169i −0.432755 0.840811i
\(295\) −12.3128 + 4.48150i −0.716880 + 0.260923i
\(296\) −3.29742 2.60387i −0.191659 0.151347i
\(297\) −26.3199 15.1958i −1.52724 0.881751i
\(298\) 26.2338 + 1.26730i 1.51968 + 0.0734126i
\(299\) −14.1873 + 11.9045i −0.820472 + 0.688457i
\(300\) −7.60866 3.63426i −0.439286 0.209824i
\(301\) 2.61109 + 14.8082i 0.150501 + 0.853531i
\(302\) 1.70033 7.50485i 0.0978433 0.431856i
\(303\) 15.7857 0.906866
\(304\) 10.8424 + 13.6544i 0.621857 + 0.783131i
\(305\) −21.4623 −1.22893
\(306\) 1.89441 8.36145i 0.108296 0.477992i
\(307\) −3.77412 21.4041i −0.215401 1.22160i −0.880210 0.474584i \(-0.842598\pi\)
0.664810 0.747013i \(-0.268513\pi\)
\(308\) 8.05560 + 3.84774i 0.459011 + 0.219245i
\(309\) −36.9310 + 30.9888i −2.10093 + 1.76289i
\(310\) 11.2130 + 0.541677i 0.636856 + 0.0307652i
\(311\) 28.7054 + 16.5731i 1.62773 + 0.939773i 0.984767 + 0.173880i \(0.0556303\pi\)
0.642968 + 0.765893i \(0.277703\pi\)
\(312\) −17.7717 14.0338i −1.00613 0.794507i
\(313\) 29.2682 10.6528i 1.65434 0.602130i 0.664880 0.746951i \(-0.268483\pi\)
0.989458 + 0.144821i \(0.0462607\pi\)
\(314\) 8.30970 + 16.1451i 0.468943 + 0.911123i
\(315\) −21.1671 + 12.2208i −1.19263 + 0.688565i
\(316\) 2.80294 10.0856i 0.157678 0.567361i
\(317\) −11.1921 1.97346i −0.628609 0.110841i −0.149738 0.988726i \(-0.547843\pi\)
−0.478872 + 0.877885i \(0.658954\pi\)
\(318\) −5.60670 + 6.06196i −0.314408 + 0.339938i
\(319\) 5.27385 + 4.42529i 0.295279 + 0.247769i
\(320\) −12.2947 9.12892i −0.687296 0.510322i
\(321\) −15.4241 5.61393i −0.860892 0.313339i
\(322\) −2.38549 18.7926i −0.132938 1.04727i
\(323\) 3.55717 + 1.32894i 0.197926 + 0.0739441i
\(324\) −35.9216 + 9.26896i −1.99564 + 0.514942i
\(325\) −1.15922 + 3.18494i −0.0643021 + 0.176669i
\(326\) 8.16983 + 26.3366i 0.452485 + 1.45865i
\(327\) 1.67315 1.99398i 0.0925254 0.110267i
\(328\) −1.95175 + 3.62524i −0.107767 + 0.200171i
\(329\) 0.796670 4.51814i 0.0439219 0.249093i
\(330\) −8.04172 + 19.1626i −0.442682 + 1.05487i
\(331\) 0.569873 + 0.987049i 0.0313230 + 0.0542531i 0.881262 0.472628i \(-0.156695\pi\)
−0.849939 + 0.526881i \(0.823361\pi\)
\(332\) 10.7166 + 15.6110i 0.588149 + 0.856767i
\(333\) 3.53554 + 9.71381i 0.193746 + 0.532314i
\(334\) −25.1132 + 19.0857i −1.37414 + 1.04432i
\(335\) −2.64710 + 4.58491i −0.144626 + 0.250500i
\(336\) 21.9084 7.51685i 1.19520 0.410078i
\(337\) 11.8905 + 14.1706i 0.647718 + 0.771920i 0.985568 0.169280i \(-0.0541442\pi\)
−0.337850 + 0.941200i \(0.609700\pi\)
\(338\) 5.02375 7.80560i 0.273256 0.424569i
\(339\) 23.0168 4.05849i 1.25010 0.220427i
\(340\) −3.31956 0.321472i −0.180029 0.0174343i
\(341\) 10.0882i 0.546308i
\(342\) −5.04122 42.6000i −0.272598 2.30354i
\(343\) 19.5108i 1.05348i
\(344\) 23.1681 0.688804i 1.24914 0.0371378i
\(345\) 43.4274 7.65742i 2.33805 0.412262i
\(346\) 26.0493 + 16.7655i 1.40042 + 0.901321i
\(347\) 11.4936 + 13.6975i 0.617008 + 0.735321i 0.980553 0.196255i \(-0.0628782\pi\)
−0.363545 + 0.931577i \(0.618434\pi\)
\(348\) 17.8076 1.39168i 0.954590 0.0746019i
\(349\) −4.75225 + 8.23114i −0.254382 + 0.440603i −0.964727 0.263251i \(-0.915205\pi\)
0.710345 + 0.703853i \(0.248539\pi\)
\(350\) −2.09767 2.76014i −0.112125 0.147536i
\(351\) 10.8403 + 29.7835i 0.578614 + 1.58973i
\(352\) 7.66095 11.4315i 0.408330 0.609302i
\(353\) −5.73568 9.93449i −0.305280 0.528760i 0.672044 0.740511i \(-0.265417\pi\)
−0.977324 + 0.211751i \(0.932083\pi\)
\(354\) −28.1701 11.8218i −1.49722 0.628319i
\(355\) 2.65611 15.0636i 0.140972 0.799491i
\(356\) 10.2245 + 7.30153i 0.541899 + 0.386980i
\(357\) 3.24253 3.86430i 0.171613 0.204520i
\(358\) 13.4389 4.16886i 0.710269 0.220331i
\(359\) −8.61799 + 23.6777i −0.454840 + 1.24966i 0.474440 + 0.880288i \(0.342651\pi\)
−0.929280 + 0.369376i \(0.879572\pi\)
\(360\) 13.9323 + 35.0050i 0.734296 + 1.84493i
\(361\) 18.9973 + 0.321920i 0.999856 + 0.0169432i
\(362\) 5.60840 0.711918i 0.294771 0.0374176i
\(363\) 15.0710 + 5.48540i 0.791023 + 0.287909i
\(364\) −3.85624 8.47405i −0.202122 0.444161i
\(365\) 17.0867 + 14.3374i 0.894356 + 0.750454i
\(366\) −36.7361 33.9772i −1.92023 1.77601i
\(367\) −6.93117 1.22215i −0.361804 0.0637958i −0.0102088 0.999948i \(-0.503250\pi\)
−0.351595 + 0.936152i \(0.614361\pi\)
\(368\) −29.1954 0.541589i −1.52191 0.0282323i
\(369\) 8.77264 5.06489i 0.456685 0.263667i
\(370\) 3.57546 1.84024i 0.185879 0.0956697i
\(371\) −3.19018 + 1.16113i −0.165626 + 0.0602829i
\(372\) 18.3353 + 18.6786i 0.950643 + 0.968441i
\(373\) −28.1670 16.2622i −1.45843 0.842025i −0.459496 0.888180i \(-0.651970\pi\)
−0.998934 + 0.0461546i \(0.985303\pi\)
\(374\) 0.144612 2.99356i 0.00747772 0.154793i
\(375\) 29.3191 24.6017i 1.51403 1.27043i
\(376\) −6.71442 2.22020i −0.346270 0.114498i
\(377\) −1.24675 7.07069i −0.0642111 0.364159i
\(378\) −31.6178 7.16349i −1.62625 0.368450i
\(379\) −23.4446 −1.20427 −0.602135 0.798394i \(-0.705683\pi\)
−0.602135 + 0.798394i \(0.705683\pi\)
\(380\) −16.1928 + 4.03228i −0.830673 + 0.206852i
\(381\) 9.88024 0.506180
\(382\) 7.43662 + 1.68487i 0.380490 + 0.0862057i
\(383\) 3.75733 + 21.3089i 0.191990 + 1.08883i 0.916640 + 0.399714i \(0.130891\pi\)
−0.724650 + 0.689118i \(0.757998\pi\)
\(384\) −6.59231 35.0895i −0.336412 1.79065i
\(385\) −6.54525 + 5.49212i −0.333577 + 0.279904i
\(386\) 1.05894 21.9206i 0.0538985 1.11573i
\(387\) −49.3863 28.5132i −2.51044 1.44941i
\(388\) 8.83091 8.66861i 0.448321 0.440082i
\(389\) −21.8603 + 7.95648i −1.10836 + 0.403410i −0.830391 0.557181i \(-0.811883\pi\)
−0.277968 + 0.960590i \(0.589661\pi\)
\(390\) 19.2702 9.91814i 0.975786 0.502225i
\(391\) −5.50754 + 3.17978i −0.278528 + 0.160808i
\(392\) −10.1685 1.48289i −0.513586 0.0748972i
\(393\) 30.6064 + 5.39674i 1.54389 + 0.272230i
\(394\) 4.42527 + 4.09292i 0.222942 + 0.206198i
\(395\) 7.67470 + 6.43984i 0.386156 + 0.324023i
\(396\) −30.8162 + 14.0234i −1.54857 + 0.704701i
\(397\) 24.0948 + 8.76979i 1.20928 + 0.440143i 0.866455 0.499255i \(-0.166393\pi\)
0.342828 + 0.939398i \(0.388615\pi\)
\(398\) 10.7517 1.36480i 0.538936 0.0684114i
\(399\) 8.83332 23.6441i 0.442219 1.18369i
\(400\) −4.67672 + 2.58566i −0.233836 + 0.129283i
\(401\) 0.905379 2.48751i 0.0452125 0.124220i −0.915032 0.403382i \(-0.867834\pi\)
0.960244 + 0.279162i \(0.0900567\pi\)
\(402\) −11.7893 + 3.65715i −0.587999 + 0.182402i
\(403\) 6.76267 8.05944i 0.336873 0.401469i
\(404\) 5.81403 8.14153i 0.289259 0.405056i
\(405\) 6.16554 34.9665i 0.306368 1.73750i
\(406\) 6.77170 + 2.84179i 0.336074 + 0.141036i
\(407\) 1.80683 + 3.12951i 0.0895610 + 0.155124i
\(408\) −5.17303 5.80549i −0.256103 0.287414i
\(409\) −7.31695 20.1032i −0.361800 0.994038i −0.978393 0.206755i \(-0.933710\pi\)
0.616593 0.787282i \(-0.288513\pi\)
\(410\) −2.38433 3.13733i −0.117754 0.154942i
\(411\) 26.8199 46.4535i 1.32293 2.29138i
\(412\) 2.38053 + 30.4607i 0.117280 + 1.50069i
\(413\) −8.07371 9.62187i −0.397281 0.473461i
\(414\) 60.4117 + 38.8815i 2.96907 + 1.91092i
\(415\) −17.8474 + 3.14698i −0.876095 + 0.154479i
\(416\) −13.7835 + 3.99705i −0.675790 + 0.195971i
\(417\) 29.9541i 1.46686i
\(418\) −4.32148 14.3597i −0.211371 0.702356i
\(419\) 3.96184i 0.193549i −0.995306 0.0967744i \(-0.969147\pi\)
0.995306 0.0967744i \(-0.0308525\pi\)
\(420\) −2.13679 + 22.0648i −0.104265 + 1.07665i
\(421\) −39.1951 + 6.91115i −1.91025 + 0.336829i −0.997437 0.0715443i \(-0.977207\pi\)
−0.912815 + 0.408373i \(0.866096\pi\)
\(422\) 15.6394 24.2996i 0.761315 1.18288i
\(423\) 11.1841 + 13.3287i 0.543789 + 0.648062i
\(424\) 1.06148 + 5.12434i 0.0515498 + 0.248860i
\(425\) −0.581925 + 1.00792i −0.0282275 + 0.0488915i
\(426\) 28.3937 21.5788i 1.37568 1.04549i
\(427\) −7.03658 19.3328i −0.340524 0.935582i
\(428\) −8.57625 + 5.88738i −0.414549 + 0.284577i
\(429\) 9.73803 + 16.8668i 0.470157 + 0.814335i
\(430\) −8.58424 + 20.4554i −0.413969 + 0.986446i
\(431\) 3.45718 19.6067i 0.166527 0.944419i −0.780950 0.624594i \(-0.785265\pi\)
0.947476 0.319826i \(-0.103624\pi\)
\(432\) −17.9597 + 46.6340i −0.864088 + 2.24368i
\(433\) −19.0331 + 22.6828i −0.914675 + 1.09007i 0.0809587 + 0.996717i \(0.474202\pi\)
−0.995633 + 0.0933494i \(0.970243\pi\)
\(434\) 3.18834 + 10.2781i 0.153045 + 0.493364i
\(435\) −5.84695 + 16.0644i −0.280340 + 0.770227i
\(436\) −0.412166 1.59733i −0.0197392 0.0764984i
\(437\) −20.6595 + 24.2017i −0.988279 + 1.15772i
\(438\) 6.54883 + 51.5908i 0.312915 + 2.46510i
\(439\) −0.0910357 0.0331343i −0.00434490 0.00158141i 0.339847 0.940481i \(-0.389625\pi\)
−0.344192 + 0.938899i \(0.611847\pi\)
\(440\) 6.92133 + 11.2053i 0.329961 + 0.534192i
\(441\) 19.3675 + 16.2512i 0.922260 + 0.773868i
\(442\) −2.12227 + 2.29460i −0.100946 + 0.109143i
\(443\) −21.2279 3.74305i −1.00857 0.177838i −0.355129 0.934817i \(-0.615563\pi\)
−0.653438 + 0.756980i \(0.726674\pi\)
\(444\) 9.03328 + 2.51048i 0.428700 + 0.119142i
\(445\) −10.4137 + 6.01237i −0.493658 + 0.285014i
\(446\) −6.58728 12.7986i −0.311917 0.606032i
\(447\) −55.0735 + 20.0451i −2.60489 + 0.948101i
\(448\) 4.19224 14.0679i 0.198065 0.664644i
\(449\) 16.9734 + 9.79959i 0.801024 + 0.462471i 0.843829 0.536612i \(-0.180296\pi\)
−0.0428051 + 0.999083i \(0.513629\pi\)
\(450\) 13.1324 + 0.634400i 0.619069 + 0.0299059i
\(451\) 2.71266 2.27620i 0.127734 0.107182i
\(452\) 6.38413 13.3658i 0.300284 0.628673i
\(453\) 2.98175 + 16.9104i 0.140095 + 0.794518i
\(454\) 4.04359 17.8474i 0.189775 0.837619i
\(455\) 8.91064 0.417737
\(456\) −34.1001 18.7331i −1.59688 0.877258i
\(457\) 9.26419 0.433360 0.216680 0.976243i \(-0.430477\pi\)
0.216680 + 0.976243i \(0.430477\pi\)
\(458\) −4.45088 + 19.6451i −0.207976 + 0.917954i
\(459\) 1.88992 + 10.7183i 0.0882138 + 0.500285i
\(460\) 12.0454 25.2181i 0.561619 1.17580i
\(461\) 3.95276 3.31676i 0.184098 0.154477i −0.546081 0.837732i \(-0.683881\pi\)
0.730179 + 0.683256i \(0.239437\pi\)
\(462\) −19.8979 0.961224i −0.925733 0.0447202i
\(463\) 27.6307 + 15.9526i 1.28411 + 0.741379i 0.977596 0.210488i \(-0.0675054\pi\)
0.306510 + 0.951867i \(0.400839\pi\)
\(464\) 5.84095 9.69691i 0.271159 0.450168i
\(465\) −23.5399 + 8.56781i −1.09164 + 0.397323i
\(466\) 10.4367 + 20.2778i 0.483471 + 0.939349i
\(467\) −20.9939 + 12.1208i −0.971481 + 0.560885i −0.899687 0.436535i \(-0.856206\pi\)
−0.0717935 + 0.997420i \(0.522872\pi\)
\(468\) 34.0196 + 9.45452i 1.57255 + 0.437035i
\(469\) −4.99788 0.881260i −0.230780 0.0406928i
\(470\) 4.59579 4.96897i 0.211988 0.229201i
\(471\) −31.0394 26.0452i −1.43022 1.20010i
\(472\) −16.4724 + 10.1747i −0.758203 + 0.468330i
\(473\) −18.7328 6.81820i −0.861337 0.313501i
\(474\) 2.94150 + 23.1727i 0.135107 + 1.06436i
\(475\) −1.05977 + 5.72614i −0.0486256 + 0.262733i
\(476\) −0.798768 3.09560i −0.0366115 0.141887i
\(477\) 4.40358 12.0987i 0.201626 0.553963i
\(478\) 8.90837 + 28.7174i 0.407459 + 1.31350i
\(479\) 1.51494 1.80544i 0.0692195 0.0824926i −0.730323 0.683101i \(-0.760631\pi\)
0.799543 + 0.600609i \(0.205075\pi\)
\(480\) 33.1807 + 8.16741i 1.51448 + 0.372790i
\(481\) 0.654415 3.71137i 0.0298387 0.169224i
\(482\) −3.05080 + 7.26974i −0.138960 + 0.331128i
\(483\) 21.1357 + 36.6081i 0.961707 + 1.66573i
\(484\) 8.37990 5.75259i 0.380905 0.261482i
\(485\) 4.05070 + 11.1292i 0.183933 + 0.505352i
\(486\) 23.7090 18.0185i 1.07546 0.817336i
\(487\) 16.3996 28.4049i 0.743135 1.28715i −0.207926 0.978145i \(-0.566671\pi\)
0.951061 0.309003i \(-0.0999954\pi\)
\(488\) −31.0541 + 6.43265i −1.40575 + 0.291192i
\(489\) −39.5520 47.1362i −1.78860 2.13157i
\(490\) 5.32276 8.27017i 0.240458 0.373608i
\(491\) 13.1877 2.32535i 0.595154 0.104942i 0.132046 0.991244i \(-0.457845\pi\)
0.463108 + 0.886302i \(0.346734\pi\)
\(492\) 0.885589 9.14470i 0.0399254 0.412275i
\(493\) 2.46543i 0.111037i
\(494\) −6.17367 + 14.3688i −0.277766 + 0.646485i
\(495\) 32.4039i 1.45645i
\(496\) 16.3866 2.57699i 0.735781 0.115710i
\(497\) 14.4398 2.54613i 0.647714 0.114210i
\(498\) −35.5307 22.8679i −1.59217 1.02473i
\(499\) 21.7580 + 25.9301i 0.974021 + 1.16079i 0.986975 + 0.160876i \(0.0514321\pi\)
−0.0129539 + 0.999916i \(0.504123\pi\)
\(500\) −1.88988 24.1825i −0.0845179 1.08147i
\(501\) 35.1931 60.9563i 1.57231 2.72333i
\(502\) −7.86580 10.3499i −0.351068 0.461940i
\(503\) −12.7105 34.9217i −0.566731 1.55708i −0.809575 0.587016i \(-0.800302\pi\)
0.242844 0.970065i \(-0.421920\pi\)
\(504\) −26.9641 + 24.0266i −1.20108 + 1.07023i
\(505\) 4.78750 + 8.29219i 0.213041 + 0.368998i
\(506\) 23.1579 + 9.71837i 1.02949 + 0.432034i
\(507\) −3.59689 + 20.3990i −0.159743 + 0.905949i
\(508\) 3.63898 5.09576i 0.161454 0.226088i
\(509\) 6.82338 8.13179i 0.302441 0.360435i −0.593323 0.804964i \(-0.702184\pi\)
0.895764 + 0.444529i \(0.146629\pi\)
\(510\) 7.10799 2.20496i 0.314747 0.0976371i
\(511\) −7.31289 + 20.0920i −0.323503 + 0.888817i
\(512\) −20.5255 9.52379i −0.907109 0.420896i
\(513\) 26.8278 + 47.3898i 1.18448 + 2.09231i
\(514\) −25.2989 + 3.21139i −1.11589 + 0.141648i
\(515\) −27.4788 10.0015i −1.21086 0.440717i
\(516\) −47.0764 + 21.4229i −2.07243 + 0.943088i
\(517\) 4.65939 + 3.90969i 0.204920 + 0.171948i
\(518\) 2.82990 + 2.61737i 0.124339 + 0.115001i
\(519\) −68.0765 12.0037i −2.98823 0.526905i
\(520\) 1.98209 13.5916i 0.0869204 0.596032i
\(521\) −12.4939 + 7.21337i −0.547369 + 0.316024i −0.748060 0.663631i \(-0.769015\pi\)
0.200691 + 0.979655i \(0.435681\pi\)
\(522\) −24.7638 + 12.7456i −1.08388 + 0.557861i
\(523\) 25.6633 9.34069i 1.12218 0.408440i 0.286732 0.958011i \(-0.407431\pi\)
0.835447 + 0.549571i \(0.185209\pi\)
\(524\) 14.0560 13.7977i 0.614040 0.602755i
\(525\) 6.69957 + 3.86800i 0.292393 + 0.168813i
\(526\) 0.747294 15.4694i 0.0325836 0.674498i
\(527\) 2.76750 2.32220i 0.120554 0.101157i
\(528\) −5.89228 + 30.1369i −0.256428 + 1.31154i
\(529\) −5.26005 29.8312i −0.228698 1.29701i
\(530\) −4.88473 1.10671i −0.212179 0.0480723i
\(531\) 47.6354 2.06720
\(532\) −8.94114 13.2642i −0.387648 0.575075i
\(533\) −3.69299 −0.159961
\(534\) −27.3430 6.19496i −1.18325 0.268082i
\(535\) −1.72886 9.80485i −0.0747452 0.423901i
\(536\) −2.45594 + 7.42735i −0.106080 + 0.320813i
\(537\) −24.0524 + 20.1824i −1.03794 + 0.870934i
\(538\) −1.86702 + 38.6484i −0.0804930 + 1.66625i
\(539\) 7.65406 + 4.41907i 0.329684 + 0.190343i
\(540\) −33.5045 34.1318i −1.44180 1.46880i
\(541\) 14.6005 5.31414i 0.627724 0.228473i −0.00851644 0.999964i \(-0.502711\pi\)
0.636240 + 0.771491i \(0.280489\pi\)
\(542\) 29.8638 15.3705i 1.28276 0.660222i
\(543\) −10.9252 + 6.30768i −0.468846 + 0.270688i
\(544\) −4.89947 + 0.529793i −0.210063 + 0.0227147i
\(545\) 1.55487 + 0.274165i 0.0666032 + 0.0117439i
\(546\) 15.2520 + 14.1065i 0.652725 + 0.603704i
\(547\) 22.9739 + 19.2774i 0.982292 + 0.824241i 0.984434 0.175757i \(-0.0562373\pi\)
−0.00214187 + 0.999998i \(0.500682\pi\)
\(548\) −14.0805 30.9417i −0.601489 1.32176i
\(549\) 73.3196 + 26.6861i 3.12920 + 1.13894i
\(550\) 4.55956 0.578781i 0.194420 0.0246793i
\(551\) −4.12077 11.6273i −0.175551 0.495339i
\(552\) 60.5407 24.0957i 2.57678 1.02558i
\(553\) −3.28468 + 9.02459i −0.139679 + 0.383765i
\(554\) 5.37904 1.66862i 0.228534 0.0708929i
\(555\) −5.76790 + 6.87391i −0.244834 + 0.291781i
\(556\) −15.4489 11.0324i −0.655181 0.467877i
\(557\) 3.59379 20.3814i 0.152274 0.863587i −0.808962 0.587861i \(-0.799970\pi\)
0.961236 0.275727i \(-0.0889185\pi\)
\(558\) −37.6325 15.7927i −1.59311 0.668559i
\(559\) 10.3950 + 18.0047i 0.439662 + 0.761516i
\(560\) 10.5930 + 9.22873i 0.447635 + 0.389985i
\(561\) 2.28736 + 6.28448i 0.0965725 + 0.265331i
\(562\) −4.28175 5.63398i −0.180615 0.237655i
\(563\) 4.49016 7.77718i 0.189238 0.327769i −0.755759 0.654850i \(-0.772732\pi\)
0.944996 + 0.327081i \(0.106065\pi\)
\(564\) 15.7329 1.22954i 0.662473 0.0517728i
\(565\) 9.11247 + 10.8598i 0.383364 + 0.456876i
\(566\) −11.1337 7.16572i −0.467983 0.301198i
\(567\) 33.5187 5.91025i 1.40765 0.248207i
\(568\) −0.671669 22.5918i −0.0281826 0.947930i
\(569\) 23.6238i 0.990361i −0.868790 0.495181i \(-0.835102\pi\)
0.868790 0.495181i \(-0.164898\pi\)
\(570\) 29.8368 22.2793i 1.24972 0.933177i
\(571\) 23.3260i 0.976163i 0.872798 + 0.488082i \(0.162303\pi\)
−0.872798 + 0.488082i \(0.837697\pi\)
\(572\) 12.2857 + 1.18977i 0.513691 + 0.0497467i
\(573\) −16.7566 + 2.95464i −0.700018 + 0.123432i
\(574\) 2.04433 3.17636i 0.0853288 0.132579i
\(575\) −6.26895 7.47105i −0.261433 0.311564i
\(576\) 30.6505 + 46.4735i 1.27710 + 1.93640i
\(577\) −15.3325 + 26.5567i −0.638302 + 1.10557i 0.347503 + 0.937679i \(0.387030\pi\)
−0.985805 + 0.167893i \(0.946304\pi\)
\(578\) 18.2867 13.8976i 0.760625 0.578064i
\(579\) 16.7494 + 46.0187i 0.696082 + 1.91247i
\(580\) 6.13176 + 8.93223i 0.254607 + 0.370891i
\(581\) −8.68616 15.0449i −0.360363 0.624166i
\(582\) −10.6854 + 25.4622i −0.442923 + 1.05544i
\(583\) 0.781568 4.43249i 0.0323692 0.183575i
\(584\) 29.0201 + 15.6238i 1.20086 + 0.646517i
\(585\) −21.7221 + 25.8873i −0.898096 + 1.07031i
\(586\) 0.498791 + 1.60792i 0.0206049 + 0.0664227i
\(587\) 5.84762 16.0662i 0.241357 0.663123i −0.758576 0.651584i \(-0.774105\pi\)
0.999933 0.0115389i \(-0.00367302\pi\)
\(588\) 22.2034 5.72921i 0.915651 0.236269i
\(589\) 9.17048 15.5775i 0.377863 0.641858i
\(590\) −2.33349 18.3830i −0.0960684 0.756814i
\(591\) −12.6397 4.60049i −0.519929 0.189239i
\(592\) 4.62183 3.73431i 0.189956 0.153479i
\(593\) −4.15251 3.48437i −0.170523 0.143086i 0.553532 0.832828i \(-0.313280\pi\)
−0.724055 + 0.689742i \(0.757724\pi\)
\(594\) 29.1837 31.5534i 1.19742 1.29465i
\(595\) 3.01330 + 0.531326i 0.123533 + 0.0217822i
\(596\) −9.94574 + 35.7871i −0.407394 + 1.46590i
\(597\) −20.9445 + 12.0923i −0.857202 + 0.494906i
\(598\) −11.9860 23.2880i −0.490145 0.952316i
\(599\) 21.5337 7.83764i 0.879845 0.320237i 0.137698 0.990474i \(-0.456030\pi\)
0.742147 + 0.670237i \(0.233807\pi\)
\(600\) 7.39021 9.35862i 0.301704 0.382064i
\(601\) −11.7394 6.77773i −0.478859 0.276469i 0.241082 0.970505i \(-0.422498\pi\)
−0.719941 + 0.694035i \(0.755831\pi\)
\(602\) −21.2403 1.02607i −0.865688 0.0418196i
\(603\) 14.7439 12.3716i 0.600418 0.503810i
\(604\) 9.81978 + 4.69040i 0.399561 + 0.190850i
\(605\) 1.68928 + 9.58038i 0.0686789 + 0.389498i
\(606\) −4.93289 + 21.7726i −0.200385 + 0.884450i
\(607\) 7.35854 0.298674 0.149337 0.988786i \(-0.452286\pi\)
0.149337 + 0.988786i \(0.452286\pi\)
\(608\) −22.2210 + 10.6876i −0.901182 + 0.433441i
\(609\) −16.3875 −0.664054
\(610\) 6.70677 29.6020i 0.271549 1.19855i
\(611\) −1.10149 6.24688i −0.0445617 0.252722i
\(612\) 10.9406 + 5.22575i 0.442247 + 0.211238i
\(613\) −13.2122 + 11.0863i −0.533635 + 0.447773i −0.869354 0.494189i \(-0.835465\pi\)
0.335719 + 0.941962i \(0.391021\pi\)
\(614\) 30.7011 + 1.48311i 1.23900 + 0.0598533i
\(615\) 7.61511 + 4.39659i 0.307071 + 0.177288i
\(616\) −7.82433 + 9.90836i −0.315251 + 0.399219i
\(617\) 26.1889 9.53198i 1.05433 0.383743i 0.244032 0.969767i \(-0.421530\pi\)
0.810294 + 0.586024i \(0.199308\pi\)
\(618\) −31.2009 60.6211i −1.25508 2.43854i
\(619\) −1.02147 + 0.589747i −0.0410564 + 0.0237039i −0.520388 0.853930i \(-0.674213\pi\)
0.479331 + 0.877634i \(0.340879\pi\)
\(620\) −4.25108 + 15.2964i −0.170727 + 0.614317i
\(621\) −89.8161 15.8370i −3.60419 0.635517i
\(622\) −31.8287 + 34.4132i −1.27621 + 1.37984i
\(623\) −8.83007 7.40930i −0.353769 0.296848i
\(624\) 24.9097 20.1264i 0.997186 0.805699i
\(625\) 15.5381 + 5.65540i 0.621523 + 0.226216i
\(626\) 5.54684 + 43.6973i 0.221696 + 1.74649i
\(627\) 21.2915 + 25.8153i 0.850300 + 1.03096i
\(628\) −24.8650 + 6.41600i −0.992221 + 0.256026i
\(629\) 0.442605 1.21605i 0.0176478 0.0484870i
\(630\) −10.2411 33.0137i −0.408016 1.31530i
\(631\) −30.4723 + 36.3155i −1.21308 + 1.44570i −0.352941 + 0.935646i \(0.614818\pi\)
−0.860144 + 0.510052i \(0.829626\pi\)
\(632\) 13.0348 + 7.01764i 0.518496 + 0.279147i
\(633\) −11.1974 + 63.5038i −0.445058 + 2.52405i
\(634\) 6.21933 14.8201i 0.247001 0.588579i
\(635\) 2.99648 + 5.19006i 0.118912 + 0.205961i
\(636\) −6.60896 9.62738i −0.262062 0.381750i
\(637\) −3.15246 8.66130i −0.124905 0.343173i
\(638\) −7.75164 + 5.89113i −0.306890 + 0.233232i
\(639\) −27.8038 + 48.1577i −1.09990 + 1.90509i
\(640\) 16.4331 14.1049i 0.649576 0.557545i
\(641\) 7.60426 + 9.06241i 0.300350 + 0.357944i 0.895020 0.446027i \(-0.147161\pi\)
−0.594669 + 0.803970i \(0.702717\pi\)
\(642\) 12.5630 19.5196i 0.495820 0.770375i
\(643\) −25.5305 + 4.50172i −1.00683 + 0.177531i −0.652659 0.757652i \(-0.726347\pi\)
−0.354167 + 0.935182i \(0.615235\pi\)
\(644\) 26.6652 + 2.58230i 1.05076 + 0.101757i
\(645\) 49.5019i 1.94913i
\(646\) −2.94453 + 4.49097i −0.115851 + 0.176695i
\(647\) 16.7243i 0.657501i 0.944417 + 0.328751i \(0.106628\pi\)
−0.944417 + 0.328751i \(0.893372\pi\)
\(648\) −1.55912 52.4415i −0.0612481 2.06010i
\(649\) 16.3992 2.89163i 0.643727 0.113506i
\(650\) −4.03060 2.59413i −0.158093 0.101750i
\(651\) −15.4355 18.3953i −0.604964 0.720968i
\(652\) −38.8780 + 3.03834i −1.52258 + 0.118991i
\(653\) −3.05595 + 5.29306i −0.119588 + 0.207133i −0.919605 0.392845i \(-0.871491\pi\)
0.800016 + 0.599978i \(0.204824\pi\)
\(654\) 2.22737 + 2.93081i 0.0870971 + 0.114604i
\(655\) 6.44744 + 17.7142i 0.251922 + 0.692151i
\(656\) −4.39024 3.82482i −0.171410 0.149334i
\(657\) −40.5445 70.2251i −1.58179 2.73974i
\(658\) 5.98273 + 2.51069i 0.233231 + 0.0978770i
\(659\) 8.40615 47.6737i 0.327457 1.85710i −0.164355 0.986401i \(-0.552554\pi\)
0.491812 0.870701i \(-0.336335\pi\)
\(660\) −23.9172 17.0797i −0.930975 0.664828i
\(661\) 14.9228 17.7843i 0.580430 0.691729i −0.393307 0.919407i \(-0.628669\pi\)
0.973736 + 0.227678i \(0.0731134\pi\)
\(662\) −1.53947 + 0.477557i −0.0598334 + 0.0185608i
\(663\) 2.38546 6.55399i 0.0926435 0.254536i
\(664\) −24.8805 + 9.90262i −0.965549 + 0.384296i
\(665\) 15.0992 2.53069i 0.585521 0.0981359i
\(666\) −14.5027 + 1.84094i −0.561967 + 0.0713349i
\(667\) 19.4137 + 7.06601i 0.751702 + 0.273597i
\(668\) −18.4764 40.6017i −0.714874 1.57093i
\(669\) 24.6057 + 20.6466i 0.951310 + 0.798244i
\(670\) −5.49657 5.08377i −0.212351 0.196403i
\(671\) 26.8614 + 4.73638i 1.03697 + 0.182846i
\(672\) 3.52148 + 32.5663i 0.135844 + 1.25627i
\(673\) 22.5139 12.9984i 0.867848 0.501052i 0.00121569 0.999999i \(-0.499613\pi\)
0.866633 + 0.498947i \(0.166280\pi\)
\(674\) −23.2605 + 11.9719i −0.895962 + 0.461141i
\(675\) −15.6841 + 5.70853i −0.603680 + 0.219721i
\(676\) 9.19605 + 9.36823i 0.353694 + 0.360316i
\(677\) 38.3495 + 22.1411i 1.47389 + 0.850952i 0.999568 0.0293990i \(-0.00935935\pi\)
0.474324 + 0.880351i \(0.342693\pi\)
\(678\) −1.59485 + 33.0144i −0.0612499 + 1.26791i
\(679\) −8.69695 + 7.29761i −0.333758 + 0.280056i
\(680\) 1.48073 4.47807i 0.0567832 0.171726i
\(681\) 7.09095 + 40.2148i 0.271726 + 1.54103i
\(682\) −13.9142 3.15248i −0.532804 0.120715i
\(683\) −37.9898 −1.45364 −0.726819 0.686829i \(-0.759002\pi\)
−0.726819 + 0.686829i \(0.759002\pi\)
\(684\) 60.3317 + 6.35898i 2.30684 + 0.243142i
\(685\) 32.5359 1.24313
\(686\) 26.9104 + 6.09694i 1.02744 + 0.232782i
\(687\) −7.80519 44.2654i −0.297787 1.68883i
\(688\) −6.28979 + 32.1700i −0.239796 + 1.22647i
\(689\) −3.59573 + 3.01717i −0.136986 + 0.114945i
\(690\) −3.00912 + 62.2904i −0.114555 + 2.37136i
\(691\) 0.0712585 + 0.0411411i 0.00271080 + 0.00156508i 0.501355 0.865242i \(-0.332835\pi\)
−0.498644 + 0.866807i \(0.666168\pi\)
\(692\) −31.2642 + 30.6896i −1.18848 + 1.16664i
\(693\) 29.1888 10.6239i 1.10879 0.403567i
\(694\) −22.4840 + 11.5722i −0.853482 + 0.439277i
\(695\) 15.7348 9.08450i 0.596856 0.344595i
\(696\) −3.64524 + 24.9962i −0.138172 + 0.947478i
\(697\) −1.24886 0.220207i −0.0473038 0.00834093i
\(698\) −9.86782 9.12673i −0.373502 0.345452i
\(699\) −38.9845 32.7119i −1.47453 1.23728i
\(700\) 4.46245 2.03070i 0.168665 0.0767534i
\(701\) 6.42635 + 2.33900i 0.242720 + 0.0883428i 0.460516 0.887652i \(-0.347664\pi\)
−0.217796 + 0.975994i \(0.569887\pi\)
\(702\) −44.4667 + 5.64450i −1.67829 + 0.213038i
\(703\) 0.0548558 6.47482i 0.00206893 0.244202i
\(704\) 13.3730 + 14.1387i 0.504014 + 0.532871i
\(705\) −5.16572 + 14.1927i −0.194552 + 0.534528i
\(706\) 15.4946 4.80654i 0.583146 0.180897i
\(707\) −5.89984 + 7.03116i −0.221886 + 0.264434i
\(708\) 25.1081 35.1595i 0.943621 1.32138i
\(709\) −3.47480 + 19.7066i −0.130499 + 0.740096i 0.847390 + 0.530971i \(0.178173\pi\)
−0.977889 + 0.209125i \(0.932938\pi\)
\(710\) 19.9465 + 8.37069i 0.748579 + 0.314146i
\(711\) −18.2111 31.5425i −0.682969 1.18294i
\(712\) −13.2658 + 11.8206i −0.497155 + 0.442995i
\(713\) 10.3542 + 28.4478i 0.387766 + 1.06538i
\(714\) 4.31660 + 5.67984i 0.161545 + 0.212563i
\(715\) −5.90671 + 10.2307i −0.220898 + 0.382607i
\(716\) 1.55039 + 19.8385i 0.0579409 + 0.741398i
\(717\) −43.1273 51.3972i −1.61062 1.91946i
\(718\) −29.9646 19.2855i −1.11827 0.719729i
\(719\) −16.0253 + 2.82569i −0.597642 + 0.105380i −0.464282 0.885687i \(-0.653688\pi\)
−0.133360 + 0.991068i \(0.542577\pi\)
\(720\) −52.6346 + 8.27743i −1.96158 + 0.308482i
\(721\) 28.0315i 1.04395i
\(722\) −6.38049 + 26.1015i −0.237457 + 0.971398i
\(723\) 17.5927i 0.654280i
\(724\) −0.770656 + 7.95789i −0.0286412 + 0.295753i
\(725\) 3.72344 0.656543i 0.138285 0.0243834i
\(726\) −12.2753 + 19.0727i −0.455580 + 0.707853i
\(727\) −1.48698 1.77212i −0.0551491 0.0657242i 0.737765 0.675058i \(-0.235881\pi\)
−0.792914 + 0.609334i \(0.791437\pi\)
\(728\) 12.8929 2.67069i 0.477844 0.0989823i
\(729\) −5.40168 + 9.35598i −0.200062 + 0.346518i
\(730\) −25.1144 + 19.0866i −0.929525 + 0.706426i
\(731\) 2.44168 + 6.70845i 0.0903087 + 0.248121i
\(732\) 58.3429 40.0510i 2.15642 1.48033i
\(733\) 7.32768 + 12.6919i 0.270654 + 0.468786i 0.969029 0.246945i \(-0.0794268\pi\)
−0.698376 + 0.715732i \(0.746093\pi\)
\(734\) 3.85159 9.17795i 0.142165 0.338764i
\(735\) −3.81096 + 21.6131i −0.140570 + 0.797210i
\(736\) 9.87028 40.0987i 0.363823 1.47806i
\(737\) 4.32482 5.15412i 0.159307 0.189855i
\(738\) 4.24441 + 13.6825i 0.156239 + 0.503658i
\(739\) 1.64645 4.52359i 0.0605657 0.166403i −0.905719 0.423878i \(-0.860668\pi\)
0.966285 + 0.257475i \(0.0828906\pi\)
\(740\) 1.42087 + 5.50653i 0.0522322 + 0.202424i
\(741\) 0.295650 34.8965i 0.0108610 1.28196i
\(742\) −0.604595 4.76292i −0.0221954 0.174852i
\(743\) 39.1760 + 14.2589i 1.43723 + 0.523108i 0.938993 0.343935i \(-0.111760\pi\)
0.498233 + 0.867043i \(0.333982\pi\)
\(744\) −31.4922 + 19.4522i −1.15456 + 0.713153i
\(745\) −27.2323 22.8506i −0.997716 0.837183i
\(746\) 31.2317 33.7677i 1.14347 1.23632i
\(747\) 64.8834 + 11.4407i 2.37396 + 0.418593i
\(748\) 4.08369 + 1.13492i 0.149315 + 0.0414967i
\(749\) 8.26522 4.77193i 0.302005 0.174362i
\(750\) 24.7701 + 48.1264i 0.904475 + 1.75733i
\(751\) 10.4064 3.78761i 0.379734 0.138212i −0.145099 0.989417i \(-0.546350\pi\)
0.524833 + 0.851205i \(0.324128\pi\)
\(752\) 5.16042 8.56712i 0.188181 0.312411i
\(753\) 25.1219 + 14.5042i 0.915494 + 0.528561i
\(754\) 10.1419 + 0.489933i 0.369346 + 0.0178423i
\(755\) −7.97866 + 6.69489i −0.290373 + 0.243652i
\(756\) 19.7606 41.3706i 0.718685 1.50463i
\(757\) 0.827186 + 4.69120i 0.0300646 + 0.170505i 0.996143 0.0877439i \(-0.0279657\pi\)
−0.966078 + 0.258249i \(0.916855\pi\)
\(758\) 7.32623 32.3362i 0.266101 1.17450i
\(759\) −56.0420 −2.03419
\(760\) −0.501448 23.5941i −0.0181894 0.855847i
\(761\) −1.17846 −0.0427193 −0.0213597 0.999772i \(-0.506800\pi\)
−0.0213597 + 0.999772i \(0.506800\pi\)
\(762\) −3.08748 + 13.6274i −0.111848 + 0.493668i
\(763\) 0.262813 + 1.49048i 0.00951446 + 0.0539592i
\(764\) −4.64775 + 9.73050i −0.168150 + 0.352037i
\(765\) −8.88934 + 7.45904i −0.321395 + 0.269682i
\(766\) −30.5645 1.47651i −1.10434 0.0533483i
\(767\) −15.0397 8.68318i −0.543053 0.313532i
\(768\) 50.4575 + 1.87267i 1.82073 + 0.0675742i
\(769\) −16.7613 + 6.10062i −0.604429 + 0.219994i −0.626064 0.779772i \(-0.715335\pi\)
0.0216350 + 0.999766i \(0.493113\pi\)
\(770\) −5.52971 10.7438i −0.199277 0.387180i
\(771\) 49.2826 28.4533i 1.77487 1.02472i
\(772\) 29.9032 + 8.31053i 1.07624 + 0.299103i
\(773\) −28.7474 5.06894i −1.03397