Properties

Label 57.2.j.b.29.2
Level 57
Weight 2
Character 57.29
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.2
Character \(\chi\) = 57.29
Dual form 57.2.j.b.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.336464 - 1.90818i) q^{2} +(1.43743 - 0.966337i) q^{3} +(-1.64856 + 0.600025i) q^{4} +(-1.09544 + 3.00968i) q^{5} +(-2.32759 - 2.41773i) q^{6} +(-1.23083 + 2.13186i) q^{7} +(-0.237981 - 0.412196i) q^{8} +(1.13238 - 2.77808i) q^{9} +O(q^{10})\) \(q+(-0.336464 - 1.90818i) q^{2} +(1.43743 - 0.966337i) q^{3} +(-1.64856 + 0.600025i) q^{4} +(-1.09544 + 3.00968i) q^{5} +(-2.32759 - 2.41773i) q^{6} +(-1.23083 + 2.13186i) q^{7} +(-0.237981 - 0.412196i) q^{8} +(1.13238 - 2.77808i) q^{9} +(6.11159 + 1.07764i) q^{10} +(-2.11115 + 1.21887i) q^{11} +(-1.78985 + 2.45555i) q^{12} +(1.65491 - 1.97225i) q^{13} +(4.48210 + 1.63135i) q^{14} +(1.33376 + 5.38476i) q^{15} +(-3.39430 + 2.84816i) q^{16} +(3.75838 - 0.662704i) q^{17} +(-5.68207 - 1.22607i) q^{18} +(-2.59177 - 3.50468i) q^{19} -5.61892i q^{20} +(0.290870 + 4.25378i) q^{21} +(3.03615 + 3.61834i) q^{22} +(0.817753 + 2.24676i) q^{23} +(-0.740401 - 0.362531i) q^{24} +(-4.02800 - 3.37989i) q^{25} +(-4.32022 - 2.49428i) q^{26} +(-1.05684 - 5.08754i) q^{27} +(0.749922 - 4.25302i) q^{28} +(0.705026 - 3.99840i) q^{29} +(9.82632 - 4.35683i) q^{30} +(-3.82192 - 2.20658i) q^{31} +(5.84764 + 4.90675i) q^{32} +(-1.85677 + 3.79212i) q^{33} +(-2.52912 - 6.94869i) q^{34} +(-5.06793 - 6.03972i) q^{35} +(-0.199882 + 5.25927i) q^{36} +9.08219i q^{37} +(-5.81552 + 6.12475i) q^{38} +(0.472956 - 4.43416i) q^{39} +(1.50127 - 0.264715i) q^{40} +(-4.39728 + 3.68975i) q^{41} +(8.01912 - 1.98628i) q^{42} +(3.86432 + 1.40650i) q^{43} +(2.74899 - 3.27612i) q^{44} +(7.12068 + 6.45132i) q^{45} +(4.01207 - 2.31637i) q^{46} +(3.04197 + 0.536381i) q^{47} +(-2.12677 + 7.37405i) q^{48} +(0.470118 + 0.814268i) q^{49} +(-5.09416 + 8.82335i) q^{50} +(4.76200 - 4.58445i) q^{51} +(-1.54482 + 4.24435i) q^{52} +(3.11998 - 1.13558i) q^{53} +(-9.35235 + 3.72842i) q^{54} +(-1.35579 - 7.68908i) q^{55} +1.17166 q^{56} +(-7.11217 - 2.53319i) q^{57} -7.86688 q^{58} +(-1.78173 - 10.1047i) q^{59} +(-5.42977 - 8.07678i) q^{60} +(0.932543 - 0.339418i) q^{61} +(-2.92462 + 8.03534i) q^{62} +(4.52870 + 5.83342i) q^{63} +(2.96450 - 5.13466i) q^{64} +(4.12299 + 7.14123i) q^{65} +(7.86077 + 2.26715i) q^{66} +(-6.74077 - 1.18858i) q^{67} +(-5.79826 + 3.34763i) q^{68} +(3.34659 + 2.43932i) q^{69} +(-9.81970 + 11.7027i) q^{70} +(-0.208227 - 0.0757884i) q^{71} +(-1.41460 + 0.194366i) q^{72} +(12.8811 - 10.8085i) q^{73} +(17.3304 - 3.05582i) q^{74} +(-9.05606 - 0.965937i) q^{75} +(6.37556 + 4.22253i) q^{76} -6.00089i q^{77} +(-8.62030 + 0.589448i) q^{78} +(2.67409 + 3.18686i) q^{79} +(-4.85382 - 13.3357i) q^{80} +(-6.43541 - 6.29170i) q^{81} +(8.52023 + 7.14932i) q^{82} +(-2.45843 - 1.41938i) q^{83} +(-3.03189 - 6.83807i) q^{84} +(-2.12253 + 12.0375i) q^{85} +(1.38365 - 7.84704i) q^{86} +(-2.85038 - 6.42870i) q^{87} +(1.00483 + 0.580137i) q^{88} +(6.53953 + 5.48732i) q^{89} +(9.91443 - 15.7582i) q^{90} +(2.16764 + 5.95553i) q^{91} +(-2.69622 - 3.21323i) q^{92} +(-7.62602 + 0.521460i) q^{93} -5.98510i q^{94} +(13.3871 - 3.96125i) q^{95} +(13.1471 + 1.40230i) q^{96} +(3.82196 - 0.673914i) q^{97} +(1.39559 - 1.17104i) q^{98} +(0.995488 + 7.24515i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.336464 1.90818i −0.237916 1.34929i −0.836386 0.548141i \(-0.815336\pi\)
0.598470 0.801145i \(-0.295776\pi\)
\(3\) 1.43743 0.966337i 0.829898 0.557915i
\(4\) −1.64856 + 0.600025i −0.824278 + 0.300013i
\(5\) −1.09544 + 3.00968i −0.489894 + 1.34597i 0.410883 + 0.911688i \(0.365221\pi\)
−0.900776 + 0.434283i \(0.857002\pi\)
\(6\) −2.32759 2.41773i −0.950233 0.987033i
\(7\) −1.23083 + 2.13186i −0.465210 + 0.805767i −0.999211 0.0397167i \(-0.987354\pi\)
0.534001 + 0.845484i \(0.320688\pi\)
\(8\) −0.237981 0.412196i −0.0841391 0.145733i
\(9\) 1.13238 2.77808i 0.377461 0.926025i
\(10\) 6.11159 + 1.07764i 1.93265 + 0.340779i
\(11\) −2.11115 + 1.21887i −0.636535 + 0.367503i −0.783278 0.621671i \(-0.786454\pi\)
0.146744 + 0.989175i \(0.453121\pi\)
\(12\) −1.78985 + 2.45555i −0.516685 + 0.708857i
\(13\) 1.65491 1.97225i 0.458990 0.547003i −0.486062 0.873924i \(-0.661567\pi\)
0.945051 + 0.326922i \(0.106011\pi\)
\(14\) 4.48210 + 1.63135i 1.19789 + 0.435997i
\(15\) 1.33376 + 5.38476i 0.344376 + 1.39034i
\(16\) −3.39430 + 2.84816i −0.848575 + 0.712039i
\(17\) 3.75838 0.662704i 0.911541 0.160729i 0.301838 0.953359i \(-0.402400\pi\)
0.609703 + 0.792630i \(0.291289\pi\)
\(18\) −5.68207 1.22607i −1.33928 0.288988i
\(19\) −2.59177 3.50468i −0.594592 0.804028i
\(20\) 5.61892i 1.25643i
\(21\) 0.290870 + 4.25378i 0.0634730 + 0.928252i
\(22\) 3.03615 + 3.61834i 0.647309 + 0.771433i
\(23\) 0.817753 + 2.24676i 0.170513 + 0.468481i 0.995286 0.0969829i \(-0.0309192\pi\)
−0.824773 + 0.565464i \(0.808697\pi\)
\(24\) −0.740401 0.362531i −0.151134 0.0740012i
\(25\) −4.02800 3.37989i −0.805599 0.675978i
\(26\) −4.32022 2.49428i −0.847264 0.489168i
\(27\) −1.05684 5.08754i −0.203389 0.979098i
\(28\) 0.749922 4.25302i 0.141722 0.803745i
\(29\) 0.705026 3.99840i 0.130920 0.742484i −0.846694 0.532080i \(-0.821411\pi\)
0.977614 0.210405i \(-0.0674782\pi\)
\(30\) 9.82632 4.35683i 1.79403 0.795445i
\(31\) −3.82192 2.20658i −0.686436 0.396314i 0.115839 0.993268i \(-0.463044\pi\)
−0.802276 + 0.596954i \(0.796378\pi\)
\(32\) 5.84764 + 4.90675i 1.03373 + 0.867399i
\(33\) −1.85677 + 3.79212i −0.323223 + 0.660123i
\(34\) −2.52912 6.94869i −0.433740 1.19169i
\(35\) −5.06793 6.03972i −0.856636 1.02090i
\(36\) −0.199882 + 5.25927i −0.0333137 + 0.876545i
\(37\) 9.08219i 1.49310i 0.665328 + 0.746551i \(0.268292\pi\)
−0.665328 + 0.746551i \(0.731708\pi\)
\(38\) −5.81552 + 6.12475i −0.943401 + 0.993566i
\(39\) 0.472956 4.43416i 0.0757335 0.710034i
\(40\) 1.50127 0.264715i 0.237372 0.0418551i
\(41\) −4.39728 + 3.68975i −0.686739 + 0.576243i −0.917967 0.396657i \(-0.870170\pi\)
0.231228 + 0.972900i \(0.425726\pi\)
\(42\) 8.01912 1.98628i 1.23738 0.306489i
\(43\) 3.86432 + 1.40650i 0.589303 + 0.214489i 0.619423 0.785058i \(-0.287367\pi\)
−0.0301200 + 0.999546i \(0.509589\pi\)
\(44\) 2.74899 3.27612i 0.414426 0.493893i
\(45\) 7.12068 + 6.45132i 1.06149 + 0.961706i
\(46\) 4.01207 2.31637i 0.591548 0.341530i
\(47\) 3.04197 + 0.536381i 0.443717 + 0.0782393i 0.391043 0.920372i \(-0.372114\pi\)
0.0526741 + 0.998612i \(0.483226\pi\)
\(48\) −2.12677 + 7.37405i −0.306973 + 1.06435i
\(49\) 0.470118 + 0.814268i 0.0671597 + 0.116324i
\(50\) −5.09416 + 8.82335i −0.720423 + 1.24781i
\(51\) 4.76200 4.58445i 0.666813 0.641951i
\(52\) −1.54482 + 4.24435i −0.214227 + 0.588585i
\(53\) 3.11998 1.13558i 0.428562 0.155984i −0.118728 0.992927i \(-0.537882\pi\)
0.547290 + 0.836943i \(0.315659\pi\)
\(54\) −9.35235 + 3.72842i −1.27269 + 0.507373i
\(55\) −1.35579 7.68908i −0.182815 1.03679i
\(56\) 1.17166 0.156569
\(57\) −7.11217 2.53319i −0.942030 0.335529i
\(58\) −7.86688 −1.03297
\(59\) −1.78173 10.1047i −0.231961 1.31552i −0.848920 0.528521i \(-0.822747\pi\)
0.616959 0.786995i \(-0.288364\pi\)
\(60\) −5.42977 8.07678i −0.700981 1.04271i
\(61\) 0.932543 0.339418i 0.119400 0.0434580i −0.281629 0.959523i \(-0.590875\pi\)
0.401029 + 0.916065i \(0.368653\pi\)
\(62\) −2.92462 + 8.03534i −0.371427 + 1.02049i
\(63\) 4.52870 + 5.83342i 0.570562 + 0.734942i
\(64\) 2.96450 5.13466i 0.370562 0.641832i
\(65\) 4.12299 + 7.14123i 0.511394 + 0.885760i
\(66\) 7.86077 + 2.26715i 0.967594 + 0.279067i
\(67\) −6.74077 1.18858i −0.823516 0.145208i −0.254017 0.967200i \(-0.581752\pi\)
−0.569499 + 0.821992i \(0.692863\pi\)
\(68\) −5.79826 + 3.34763i −0.703142 + 0.405959i
\(69\) 3.34659 + 2.43932i 0.402882 + 0.293660i
\(70\) −9.81970 + 11.7027i −1.17368 + 1.39874i
\(71\) −0.208227 0.0757884i −0.0247120 0.00899443i 0.329635 0.944109i \(-0.393074\pi\)
−0.354347 + 0.935114i \(0.615297\pi\)
\(72\) −1.41460 + 0.194366i −0.166712 + 0.0229063i
\(73\) 12.8811 10.8085i 1.50761 1.26504i 0.639373 0.768897i \(-0.279194\pi\)
0.868241 0.496142i \(-0.165251\pi\)
\(74\) 17.3304 3.05582i 2.01462 0.355232i
\(75\) −9.05606 0.965937i −1.04570 0.111537i
\(76\) 6.37556 + 4.22253i 0.731327 + 0.484357i
\(77\) 6.00089i 0.683865i
\(78\) −8.62030 + 0.589448i −0.976057 + 0.0667418i
\(79\) 2.67409 + 3.18686i 0.300859 + 0.358550i 0.895201 0.445663i \(-0.147032\pi\)
−0.594342 + 0.804212i \(0.702587\pi\)
\(80\) −4.85382 13.3357i −0.542673 1.49098i
\(81\) −6.43541 6.29170i −0.715046 0.699077i
\(82\) 8.52023 + 7.14932i 0.940902 + 0.789511i
\(83\) −2.45843 1.41938i −0.269848 0.155797i 0.358970 0.933349i \(-0.383128\pi\)
−0.628819 + 0.777552i \(0.716461\pi\)
\(84\) −3.03189 6.83807i −0.330807 0.746095i
\(85\) −2.12253 + 12.0375i −0.230221 + 1.30565i
\(86\) 1.38365 7.84704i 0.149202 0.846168i
\(87\) −2.85038 6.42870i −0.305593 0.689228i
\(88\) 1.00483 + 0.580137i 0.107115 + 0.0618428i
\(89\) 6.53953 + 5.48732i 0.693189 + 0.581654i 0.919827 0.392325i \(-0.128329\pi\)
−0.226638 + 0.973979i \(0.572774\pi\)
\(90\) 9.91443 15.7582i 1.04507 1.66106i
\(91\) 2.16764 + 5.95553i 0.227230 + 0.624310i
\(92\) −2.69622 3.21323i −0.281101 0.335003i
\(93\) −7.62602 + 0.521460i −0.790782 + 0.0540729i
\(94\) 5.98510i 0.617316i
\(95\) 13.3871 3.96125i 1.37349 0.406416i
\(96\) 13.1471 + 1.40230i 1.34182 + 0.143121i
\(97\) 3.82196 0.673914i 0.388061 0.0684256i 0.0237859 0.999717i \(-0.492428\pi\)
0.364275 + 0.931291i \(0.381317\pi\)
\(98\) 1.39559 1.17104i 0.140976 0.118293i
\(99\) 0.995488 + 7.24515i 0.100050 + 0.728165i
\(100\) 8.66840 + 3.15504i 0.866840 + 0.315504i
\(101\) −1.71188 + 2.04014i −0.170338 + 0.203001i −0.844459 0.535620i \(-0.820078\pi\)
0.674121 + 0.738621i \(0.264523\pi\)
\(102\) −10.3502 7.54424i −1.02482 0.746991i
\(103\) −12.6300 + 7.29193i −1.24447 + 0.718495i −0.970001 0.243101i \(-0.921835\pi\)
−0.274469 + 0.961596i \(0.588502\pi\)
\(104\) −1.20679 0.212790i −0.118335 0.0208657i
\(105\) −13.1212 3.78432i −1.28050 0.369312i
\(106\) −3.21665 5.57140i −0.312428 0.541142i
\(107\) −2.82927 + 4.90044i −0.273516 + 0.473744i −0.969760 0.244062i \(-0.921520\pi\)
0.696244 + 0.717806i \(0.254853\pi\)
\(108\) 4.79492 + 7.75297i 0.461391 + 0.746030i
\(109\) 2.04837 5.62784i 0.196198 0.539049i −0.802111 0.597174i \(-0.796290\pi\)
0.998309 + 0.0581251i \(0.0185122\pi\)
\(110\) −14.2160 + 5.17419i −1.35544 + 0.493339i
\(111\) 8.77646 + 13.0550i 0.833025 + 1.23912i
\(112\) −1.89406 10.7418i −0.178972 1.01500i
\(113\) −3.46411 −0.325876 −0.162938 0.986636i \(-0.552097\pi\)
−0.162938 + 0.986636i \(0.552097\pi\)
\(114\) −2.44080 + 14.4236i −0.228601 + 1.35090i
\(115\) −7.65783 −0.714096
\(116\) 1.23687 + 7.01462i 0.114840 + 0.651291i
\(117\) −3.60505 6.83081i −0.333287 0.631508i
\(118\) −18.6820 + 6.79971i −1.71982 + 0.625964i
\(119\) −3.21313 + 8.82801i −0.294547 + 0.809262i
\(120\) 1.90216 1.83124i 0.173643 0.167169i
\(121\) −2.52871 + 4.37985i −0.229883 + 0.398168i
\(122\) −0.961437 1.66526i −0.0870444 0.150765i
\(123\) −2.75521 + 9.55300i −0.248429 + 0.861365i
\(124\) 7.62465 + 1.34443i 0.684714 + 0.120733i
\(125\) 0.716113 0.413448i 0.0640510 0.0369799i
\(126\) 9.60747 10.6043i 0.855902 0.944706i
\(127\) 3.39146 4.04178i 0.300943 0.358650i −0.594288 0.804252i \(-0.702566\pi\)
0.895231 + 0.445602i \(0.147010\pi\)
\(128\) 3.55108 + 1.29249i 0.313874 + 0.114241i
\(129\) 6.91382 1.71250i 0.608728 0.150777i
\(130\) 12.2395 10.2702i 1.07348 0.900753i
\(131\) −15.2563 + 2.69009i −1.33295 + 0.235034i −0.794314 0.607507i \(-0.792169\pi\)
−0.538631 + 0.842542i \(0.681058\pi\)
\(132\) 0.785632 7.36563i 0.0683805 0.641095i
\(133\) 10.6615 1.21162i 0.924469 0.105061i
\(134\) 13.2625i 1.14571i
\(135\) 16.4696 + 2.39231i 1.41748 + 0.205898i
\(136\) −1.16759 1.39148i −0.100120 0.119318i
\(137\) 3.42271 + 9.40381i 0.292422 + 0.803422i 0.995711 + 0.0925182i \(0.0294916\pi\)
−0.703289 + 0.710904i \(0.748286\pi\)
\(138\) 3.52866 7.20663i 0.300379 0.613469i
\(139\) 6.94034 + 5.82364i 0.588672 + 0.493954i 0.887782 0.460264i \(-0.152245\pi\)
−0.299110 + 0.954219i \(0.596690\pi\)
\(140\) 11.9787 + 6.91593i 1.01239 + 0.584503i
\(141\) 4.89093 2.16856i 0.411891 0.182626i
\(142\) −0.0745571 + 0.422834i −0.00625669 + 0.0354835i
\(143\) −1.08985 + 6.18082i −0.0911375 + 0.516866i
\(144\) 4.06875 + 12.6548i 0.339062 + 1.05457i
\(145\) 11.2616 + 6.50189i 0.935226 + 0.539953i
\(146\) −24.9586 20.9427i −2.06558 1.73323i
\(147\) 1.46262 + 0.716157i 0.120635 + 0.0590677i
\(148\) −5.44954 14.9725i −0.447950 1.23073i
\(149\) −8.09355 9.64552i −0.663049 0.790191i 0.324771 0.945793i \(-0.394713\pi\)
−0.987820 + 0.155601i \(0.950268\pi\)
\(150\) 1.20385 + 17.6056i 0.0982942 + 1.43749i
\(151\) 14.4103i 1.17269i −0.810061 0.586345i \(-0.800566\pi\)
0.810061 0.586345i \(-0.199434\pi\)
\(152\) −0.827821 + 1.90236i −0.0671451 + 0.154302i
\(153\) 2.41489 11.1915i 0.195232 0.904779i
\(154\) −11.4508 + 2.01908i −0.922729 + 0.162702i
\(155\) 10.8278 9.08559i 0.869708 0.729772i
\(156\) 1.88091 + 7.59374i 0.150594 + 0.607986i
\(157\) −16.4270 5.97895i −1.31102 0.477172i −0.410450 0.911883i \(-0.634628\pi\)
−0.900570 + 0.434711i \(0.856851\pi\)
\(158\) 5.18136 6.17491i 0.412207 0.491249i
\(159\) 3.38738 4.64726i 0.268637 0.368552i
\(160\) −21.1735 + 12.2245i −1.67391 + 0.966432i
\(161\) −5.79629 1.02204i −0.456811 0.0805482i
\(162\) −9.84041 + 14.3969i −0.773135 + 1.13112i
\(163\) 1.15756 + 2.00495i 0.0906671 + 0.157040i 0.907792 0.419421i \(-0.137767\pi\)
−0.817125 + 0.576461i \(0.804433\pi\)
\(164\) 5.03521 8.72124i 0.393184 0.681014i
\(165\) −9.37909 9.74232i −0.730161 0.758439i
\(166\) −1.88125 + 5.16870i −0.146014 + 0.401169i
\(167\) 21.7247 7.90714i 1.68111 0.611873i 0.687646 0.726046i \(-0.258644\pi\)
0.993461 + 0.114173i \(0.0364219\pi\)
\(168\) 1.68417 1.13222i 0.129937 0.0873524i
\(169\) 1.10640 + 6.27472i 0.0851079 + 0.482671i
\(170\) 23.6838 1.81647
\(171\) −12.6711 + 3.23148i −0.968985 + 0.247118i
\(172\) −7.21447 −0.550098
\(173\) 0.749063 + 4.24815i 0.0569502 + 0.322981i 0.999952 0.00980732i \(-0.00312182\pi\)
−0.943002 + 0.332788i \(0.892011\pi\)
\(174\) −11.3081 + 7.60206i −0.857261 + 0.576311i
\(175\) 12.1632 4.42705i 0.919453 0.334654i
\(176\) 3.69433 10.1501i 0.278471 0.765092i
\(177\) −12.3256 12.8030i −0.926450 0.962330i
\(178\) 8.27047 14.3249i 0.619898 1.07369i
\(179\) 0.273237 + 0.473261i 0.0204227 + 0.0353732i 0.876056 0.482209i \(-0.160165\pi\)
−0.855633 + 0.517582i \(0.826832\pi\)
\(180\) −15.6098 6.36278i −1.16349 0.474253i
\(181\) −1.89534 0.334200i −0.140880 0.0248409i 0.102764 0.994706i \(-0.467231\pi\)
−0.243643 + 0.969865i \(0.578343\pi\)
\(182\) 10.6349 6.14006i 0.788311 0.455132i
\(183\) 1.01247 1.38904i 0.0748439 0.102681i
\(184\) 0.731494 0.871761i 0.0539265 0.0642671i
\(185\) −27.3345 9.94895i −2.00967 0.731461i
\(186\) 3.56092 + 14.3764i 0.261099 + 1.05413i
\(187\) −7.12674 + 5.98004i −0.521159 + 0.437304i
\(188\) −5.33670 + 0.941004i −0.389219 + 0.0686298i
\(189\) 12.1467 + 4.00886i 0.883543 + 0.291602i
\(190\) −12.0630 24.2121i −0.875145 1.75653i
\(191\) 13.6405i 0.986988i 0.869749 + 0.493494i \(0.164281\pi\)
−0.869749 + 0.493494i \(0.835719\pi\)
\(192\) −0.700570 10.2454i −0.0505593 0.739398i
\(193\) 16.4792 + 19.6392i 1.18620 + 1.41366i 0.888423 + 0.459025i \(0.151801\pi\)
0.297778 + 0.954635i \(0.403754\pi\)
\(194\) −2.57190 7.06623i −0.184651 0.507326i
\(195\) 12.8273 + 6.28078i 0.918584 + 0.449776i
\(196\) −1.26360 1.06028i −0.0902570 0.0757346i
\(197\) −3.20655 1.85131i −0.228458 0.131900i 0.381403 0.924409i \(-0.375441\pi\)
−0.609860 + 0.792509i \(0.708774\pi\)
\(198\) 13.4901 4.33730i 0.958700 0.308238i
\(199\) 1.47970 8.39179i 0.104893 0.594878i −0.886370 0.462978i \(-0.846781\pi\)
0.991263 0.131900i \(-0.0421079\pi\)
\(200\) −0.434589 + 2.46467i −0.0307301 + 0.174279i
\(201\) −10.8379 + 4.80536i −0.764448 + 0.338944i
\(202\) 4.46893 + 2.58014i 0.314433 + 0.181538i
\(203\) 7.65626 + 6.42436i 0.537364 + 0.450902i
\(204\) −5.09963 + 10.4150i −0.357045 + 0.729199i
\(205\) −6.28806 17.2763i −0.439177 1.20663i
\(206\) 18.1638 + 21.6468i 1.26553 + 1.50821i
\(207\) 7.16768 + 0.272412i 0.498188 + 0.0189340i
\(208\) 11.4078i 0.790992i
\(209\) 9.74334 + 4.23986i 0.673961 + 0.293277i
\(210\) −2.80637 + 26.3108i −0.193658 + 1.81562i
\(211\) 3.89977 0.687634i 0.268471 0.0473387i −0.0377920 0.999286i \(-0.512032\pi\)
0.306263 + 0.951947i \(0.400921\pi\)
\(212\) −4.46208 + 3.74413i −0.306457 + 0.257148i
\(213\) −0.372548 + 0.0922773i −0.0255266 + 0.00632273i
\(214\) 10.3029 + 3.74994i 0.704290 + 0.256341i
\(215\) −8.46622 + 10.0896i −0.577391 + 0.688108i
\(216\) −1.84556 + 1.64637i −0.125574 + 0.112021i
\(217\) 9.40825 5.43186i 0.638674 0.368738i
\(218\) −11.4281 2.01509i −0.774011 0.136479i
\(219\) 8.07091 27.9839i 0.545382 1.89097i
\(220\) 6.84874 + 11.8624i 0.461742 + 0.799760i
\(221\) 4.91277 8.50916i 0.330469 0.572388i
\(222\) 21.9583 21.1396i 1.47374 1.41880i
\(223\) −4.89903 + 13.4600i −0.328063 + 0.901347i 0.660538 + 0.750792i \(0.270328\pi\)
−0.988602 + 0.150555i \(0.951894\pi\)
\(224\) −17.6579 + 6.42697i −1.17982 + 0.429420i
\(225\) −13.9508 + 7.36275i −0.930055 + 0.490850i
\(226\) 1.16555 + 6.61015i 0.0775311 + 0.439701i
\(227\) −14.0873 −0.935008 −0.467504 0.883991i \(-0.654847\pi\)
−0.467504 + 0.883991i \(0.654847\pi\)
\(228\) 13.2448 0.0913760i 0.877157 0.00605152i
\(229\) −2.07159 −0.136894 −0.0684471 0.997655i \(-0.521804\pi\)
−0.0684471 + 0.997655i \(0.521804\pi\)
\(230\) 2.57658 + 14.6125i 0.169895 + 0.963520i
\(231\) −5.79888 8.62583i −0.381538 0.567538i
\(232\) −1.81591 + 0.660936i −0.119220 + 0.0433926i
\(233\) 9.11566 25.0451i 0.597187 1.64076i −0.159665 0.987171i \(-0.551041\pi\)
0.756852 0.653586i \(-0.226736\pi\)
\(234\) −11.8214 + 9.17741i −0.772791 + 0.599946i
\(235\) −4.94662 + 8.56780i −0.322682 + 0.558901i
\(236\) 9.00033 + 15.5890i 0.585872 + 1.01476i
\(237\) 6.92339 + 1.99680i 0.449722 + 0.129706i
\(238\) 17.9265 + 3.16093i 1.16200 + 0.204893i
\(239\) −15.2895 + 8.82739i −0.988995 + 0.570996i −0.904974 0.425468i \(-0.860110\pi\)
−0.0840210 + 0.996464i \(0.526776\pi\)
\(240\) −19.8638 14.4787i −1.28220 0.934597i
\(241\) −4.98745 + 5.94381i −0.321270 + 0.382874i −0.902373 0.430955i \(-0.858177\pi\)
0.581104 + 0.813830i \(0.302621\pi\)
\(242\) 9.20836 + 3.35157i 0.591936 + 0.215447i
\(243\) −15.3303 2.82506i −0.983441 0.181228i
\(244\) −1.33369 + 1.11910i −0.0853808 + 0.0716430i
\(245\) −2.96567 + 0.522928i −0.189470 + 0.0334087i
\(246\) 19.1559 + 2.04320i 1.22133 + 0.130270i
\(247\) −11.2012 0.688327i −0.712717 0.0437972i
\(248\) 2.10050i 0.133382i
\(249\) −4.90542 + 0.335428i −0.310868 + 0.0212569i
\(250\) −1.02988 1.22736i −0.0651352 0.0776251i
\(251\) −2.47858 6.80985i −0.156447 0.429834i 0.836562 0.547872i \(-0.184562\pi\)
−0.993009 + 0.118038i \(0.962340\pi\)
\(252\) −10.9660 6.89939i −0.690793 0.434621i
\(253\) −4.46490 3.74650i −0.280706 0.235540i
\(254\) −8.85355 5.11160i −0.555521 0.320730i
\(255\) 8.58129 + 19.3541i 0.537381 + 1.21200i
\(256\) 3.33061 18.8888i 0.208163 1.18055i
\(257\) 1.96119 11.1224i 0.122336 0.693799i −0.860519 0.509418i \(-0.829861\pi\)
0.982855 0.184381i \(-0.0590281\pi\)
\(258\) −5.59400 12.6166i −0.348267 0.785476i
\(259\) −19.3619 11.1786i −1.20309 0.694606i
\(260\) −11.0819 9.29881i −0.687270 0.576688i
\(261\) −10.3095 6.48634i −0.638142 0.401494i
\(262\) 10.2663 + 28.2066i 0.634257 + 1.74261i
\(263\) 14.1677 + 16.8844i 0.873618 + 1.04114i 0.998799 + 0.0490039i \(0.0156047\pi\)
−0.125180 + 0.992134i \(0.539951\pi\)
\(264\) 2.00497 0.137098i 0.123398 0.00843780i
\(265\) 10.6341i 0.653248i
\(266\) −5.89919 19.9364i −0.361703 1.22238i
\(267\) 14.7027 + 1.56822i 0.899789 + 0.0959733i
\(268\) 11.8257 2.08519i 0.722370 0.127373i
\(269\) −8.97080 + 7.52740i −0.546960 + 0.458954i −0.873910 0.486088i \(-0.838423\pi\)
0.326950 + 0.945042i \(0.393979\pi\)
\(270\) −0.976452 32.2319i −0.0594250 1.96157i
\(271\) −7.86382 2.86220i −0.477693 0.173866i 0.0919411 0.995764i \(-0.470693\pi\)
−0.569634 + 0.821898i \(0.692915\pi\)
\(272\) −10.8696 + 12.9539i −0.659066 + 0.785444i
\(273\) 8.87087 + 6.46597i 0.536890 + 0.391338i
\(274\) 16.7925 9.69518i 1.01447 0.585707i
\(275\) 12.6233 + 2.22584i 0.761216 + 0.134223i
\(276\) −6.98069 2.01332i −0.420188 0.121188i
\(277\) 7.41703 + 12.8467i 0.445646 + 0.771881i 0.998097 0.0616640i \(-0.0196407\pi\)
−0.552451 + 0.833545i \(0.686307\pi\)
\(278\) 8.77737 15.2029i 0.526432 0.911806i
\(279\) −10.4579 + 8.11887i −0.626100 + 0.486064i
\(280\) −1.28348 + 3.52632i −0.0767023 + 0.210738i
\(281\) 5.55341 2.02128i 0.331289 0.120579i −0.171020 0.985268i \(-0.554706\pi\)
0.502309 + 0.864688i \(0.332484\pi\)
\(282\) −5.78362 8.60313i −0.344410 0.512309i
\(283\) −3.79608 21.5286i −0.225653 1.27974i −0.861432 0.507873i \(-0.830432\pi\)
0.635779 0.771871i \(-0.280679\pi\)
\(284\) 0.388749 0.0230680
\(285\) 15.4150 18.6304i 0.913107 1.10357i
\(286\) 12.1608 0.719084
\(287\) −2.45374 13.9158i −0.144839 0.821425i
\(288\) 20.2531 10.6889i 1.19343 0.629847i
\(289\) −2.28853 + 0.832957i −0.134620 + 0.0489975i
\(290\) 8.61766 23.6768i 0.506046 1.39035i
\(291\) 4.84255 4.66200i 0.283875 0.273291i
\(292\) −14.7498 + 25.5474i −0.863166 + 1.49505i
\(293\) −10.2048 17.6752i −0.596169 1.03260i −0.993381 0.114869i \(-0.963355\pi\)
0.397211 0.917727i \(-0.369978\pi\)
\(294\) 0.874439 3.03190i 0.0509983 0.176824i
\(295\) 32.3636 + 5.70658i 1.88428 + 0.332250i
\(296\) 3.74364 2.16139i 0.217595 0.125628i
\(297\) 8.43220 + 9.45239i 0.489286 + 0.548483i
\(298\) −15.6822 + 18.6893i −0.908445 + 1.08264i
\(299\) 5.78447 + 2.10537i 0.334524 + 0.121757i
\(300\) 15.5090 3.84146i 0.895413 0.221787i
\(301\) −7.75476 + 6.50702i −0.446977 + 0.375058i
\(302\) −27.4974 + 4.84853i −1.58230 + 0.279001i
\(303\) −0.489236 + 4.58680i −0.0281059 + 0.263505i
\(304\) 18.7791 + 4.51417i 1.07706 + 0.258905i
\(305\) 3.17847i 0.181999i
\(306\) −22.1679 0.842507i −1.26726 0.0481629i
\(307\) 0.936090 + 1.11559i 0.0534255 + 0.0636700i 0.792095 0.610397i \(-0.208990\pi\)
−0.738670 + 0.674067i \(0.764546\pi\)
\(308\) 3.60068 + 9.89280i 0.205168 + 0.563695i
\(309\) −11.1082 + 22.6864i −0.631924 + 1.29059i
\(310\) −20.9801 17.6044i −1.19159 0.999862i
\(311\) 22.8208 + 13.1756i 1.29405 + 0.747118i 0.979369 0.202081i \(-0.0647704\pi\)
0.314677 + 0.949199i \(0.398104\pi\)
\(312\) −1.94030 + 0.860297i −0.109848 + 0.0487047i
\(313\) 3.97326 22.5335i 0.224582 1.27367i −0.638901 0.769289i \(-0.720610\pi\)
0.863483 0.504379i \(-0.168278\pi\)
\(314\) −5.88181 + 33.3574i −0.331930 + 1.88247i
\(315\) −22.5176 + 7.23981i −1.26873 + 0.407917i
\(316\) −6.32058 3.64919i −0.355561 0.205283i
\(317\) 4.05314 + 3.40099i 0.227647 + 0.191019i 0.749476 0.662032i \(-0.230306\pi\)
−0.521829 + 0.853050i \(0.674750\pi\)
\(318\) −10.0075 4.90010i −0.561195 0.274784i
\(319\) 3.38512 + 9.30054i 0.189530 + 0.520730i
\(320\) 12.2063 + 14.5469i 0.682352 + 0.813196i
\(321\) 0.668614 + 9.77805i 0.0373184 + 0.545758i
\(322\) 11.4042i 0.635533i
\(323\) −12.0634 11.4543i −0.671226 0.637336i
\(324\) 14.3843 + 6.51080i 0.799129 + 0.361711i
\(325\) −13.3319 + 2.35078i −0.739523 + 0.130398i
\(326\) 3.43633 2.88343i 0.190321 0.159698i
\(327\) −2.49402 10.0690i −0.137920 0.556818i
\(328\) 2.56737 + 0.934447i 0.141759 + 0.0515962i
\(329\) −4.88764 + 5.82486i −0.269464 + 0.321135i
\(330\) −15.4344 + 21.1749i −0.849635 + 1.16564i
\(331\) 22.9821 13.2687i 1.26321 0.729313i 0.289514 0.957174i \(-0.406506\pi\)
0.973694 + 0.227860i \(0.0731729\pi\)
\(332\) 4.90453 + 0.864801i 0.269171 + 0.0474621i
\(333\) 25.2310 + 10.2845i 1.38265 + 0.563588i
\(334\) −22.3978 38.7941i −1.22555 2.12272i
\(335\) 10.9613 18.9856i 0.598881 1.03729i
\(336\) −13.1027 13.6102i −0.714814 0.742497i
\(337\) 5.20079 14.2890i 0.283305 0.778374i −0.713658 0.700494i \(-0.752963\pi\)
0.996963 0.0778793i \(-0.0248149\pi\)
\(338\) 11.6010 4.22243i 0.631013 0.229670i
\(339\) −4.97940 + 3.34750i −0.270444 + 0.181811i
\(340\) −3.72368 21.1180i −0.201945 1.14529i
\(341\) 10.7582 0.582587
\(342\) 10.4296 + 23.0915i 0.563969 + 1.24865i
\(343\) −19.5462 −1.05539
\(344\) −0.339883 1.92758i −0.0183253 0.103928i
\(345\) −11.0076 + 7.40005i −0.592627 + 0.398405i
\(346\) 7.85419 2.85869i 0.422244 0.153684i
\(347\) −4.51031 + 12.3920i −0.242126 + 0.665236i 0.757793 + 0.652495i \(0.226278\pi\)
−0.999919 + 0.0127407i \(0.995944\pi\)
\(348\) 8.55639 + 8.88776i 0.458671 + 0.476434i
\(349\) 6.48287 11.2287i 0.347020 0.601056i −0.638699 0.769457i \(-0.720527\pi\)
0.985719 + 0.168401i \(0.0538603\pi\)
\(350\) −12.5401 21.7201i −0.670296 1.16099i
\(351\) −11.7829 6.33508i −0.628923 0.338141i
\(352\) −18.3259 3.23135i −0.976774 0.172232i
\(353\) 31.2379 18.0352i 1.66262 0.959916i 0.691168 0.722694i \(-0.257096\pi\)
0.971455 0.237222i \(-0.0762369\pi\)
\(354\) −20.2832 + 27.8272i −1.07804 + 1.47900i
\(355\) 0.456198 0.543676i 0.0242125 0.0288553i
\(356\) −14.0733 5.12226i −0.745884 0.271479i
\(357\) 3.91220 + 15.7946i 0.207055 + 0.835938i
\(358\) 0.811132 0.680620i 0.0428696 0.0359719i
\(359\) −9.61424 + 1.69525i −0.507420 + 0.0894719i −0.421497 0.906830i \(-0.638495\pi\)
−0.0859235 + 0.996302i \(0.527384\pi\)
\(360\) 0.964619 4.47041i 0.0508399 0.235611i
\(361\) −5.56550 + 18.1666i −0.292921 + 0.956137i
\(362\) 3.72910i 0.195997i
\(363\) 0.597584 + 8.73929i 0.0313650 + 0.458694i
\(364\) −7.14694 8.51739i −0.374602 0.446433i
\(365\) 18.4198 + 50.6079i 0.964136 + 2.64894i
\(366\) −2.99120 1.46461i −0.156352 0.0765565i
\(367\) 10.0386 + 8.42341i 0.524012 + 0.439698i 0.866028 0.499996i \(-0.166665\pi\)
−0.342016 + 0.939694i \(0.611110\pi\)
\(368\) −9.17482 5.29709i −0.478271 0.276130i
\(369\) 5.27101 + 16.3942i 0.274398 + 0.853447i
\(370\) −9.78731 + 55.5066i −0.508818 + 2.88565i
\(371\) −1.41927 + 8.04906i −0.0736846 + 0.417886i
\(372\) 12.2590 5.43546i 0.635601 0.281816i
\(373\) −27.0751 15.6318i −1.40190 0.809385i −0.407309 0.913290i \(-0.633533\pi\)
−0.994587 + 0.103905i \(0.966866\pi\)
\(374\) 13.8089 + 11.5870i 0.714040 + 0.599151i
\(375\) 0.629828 1.28631i 0.0325242 0.0664246i
\(376\) −0.502838 1.38154i −0.0259319 0.0712473i
\(377\) −6.71907 8.00748i −0.346050 0.412406i
\(378\) 3.56270 24.5269i 0.183245 1.26153i
\(379\) 8.43182i 0.433114i −0.976270 0.216557i \(-0.930517\pi\)
0.976270 0.216557i \(-0.0694827\pi\)
\(380\) −19.6925 + 14.5629i −1.01020 + 0.747062i
\(381\) 0.969243 9.08706i 0.0496558 0.465544i
\(382\) 26.0284 4.58951i 1.33173 0.234820i
\(383\) 2.71999 2.28234i 0.138985 0.116622i −0.570645 0.821197i \(-0.693307\pi\)
0.709630 + 0.704575i \(0.248862\pi\)
\(384\) 6.35340 1.57369i 0.324220 0.0803069i
\(385\) 18.0608 + 6.57359i 0.920462 + 0.335021i
\(386\) 31.9304 38.0532i 1.62522 1.93686i
\(387\) 8.28324 9.14267i 0.421061 0.464748i
\(388\) −5.89634 + 3.40425i −0.299341 + 0.172825i
\(389\) −31.7209 5.59325i −1.60831 0.283589i −0.703917 0.710282i \(-0.748567\pi\)
−0.904396 + 0.426693i \(0.859678\pi\)
\(390\) 7.66893 26.5901i 0.388331 1.34644i
\(391\) 4.56236 + 7.90224i 0.230729 + 0.399634i
\(392\) 0.223759 0.387561i 0.0113015 0.0195748i
\(393\) −19.3302 + 18.6095i −0.975079 + 0.938725i
\(394\) −2.45373 + 6.74158i −0.123617 + 0.339636i
\(395\) −12.5207 + 4.55717i −0.629986 + 0.229296i
\(396\) −5.98839 11.3467i −0.300928 0.570194i
\(397\) 3.01861 + 17.1194i 0.151500 + 0.859197i 0.961917 + 0.273343i \(0.0881295\pi\)
−0.810417 + 0.585854i \(0.800759\pi\)
\(398\) −16.5109 −0.827617
\(399\) 14.1543 12.0442i 0.708600 0.602965i
\(400\) 23.2987 1.16493
\(401\) 5.63502 + 31.9578i 0.281399 + 1.59589i 0.717871 + 0.696177i \(0.245117\pi\)
−0.436471 + 0.899718i \(0.643772\pi\)
\(402\) 12.8161 + 19.0639i 0.639207 + 0.950819i
\(403\) −10.6769 + 3.88606i −0.531852 + 0.193578i
\(404\) 1.59799 4.39045i 0.0795031 0.218433i
\(405\) 25.9856 12.4764i 1.29123 0.619958i
\(406\) 9.68279 16.7711i 0.480549 0.832335i
\(407\) −11.0700 19.1738i −0.548720 0.950411i
\(408\) −3.02296 0.871861i −0.149659 0.0431635i
\(409\) −19.4539 3.43025i −0.961933 0.169615i −0.329436 0.944178i \(-0.606859\pi\)
−0.632497 + 0.774563i \(0.717970\pi\)
\(410\) −30.8506 + 17.8116i −1.52360 + 0.879652i
\(411\) 14.0071 + 10.2098i 0.690921 + 0.503612i
\(412\) 16.4459 19.5995i 0.810231 0.965596i
\(413\) 23.7347 + 8.63874i 1.16791 + 0.425084i
\(414\) −1.89185 13.7689i −0.0929793 0.676703i
\(415\) 6.96494 5.84428i 0.341895 0.286884i
\(416\) 19.3546 3.41274i 0.948939 0.167324i
\(417\) 15.6038 + 1.66433i 0.764122 + 0.0815027i
\(418\) 4.81213 20.0186i 0.235369 0.979142i
\(419\) 26.9961i 1.31884i −0.751773 0.659422i \(-0.770801\pi\)
0.751773 0.659422i \(-0.229199\pi\)
\(420\) 23.9017 1.63437i 1.16628 0.0797493i
\(421\) −18.8465 22.4604i −0.918522 1.09465i −0.995226 0.0975979i \(-0.968884\pi\)
0.0767040 0.997054i \(-0.475560\pi\)
\(422\) −2.62426 7.21009i −0.127747 0.350982i
\(423\) 4.93479 7.84343i 0.239938 0.381361i
\(424\) −1.21058 1.01580i −0.0587909 0.0493314i
\(425\) −17.3786 10.0335i −0.842986 0.486698i
\(426\) 0.301430 + 0.679840i 0.0146043 + 0.0329384i
\(427\) −0.424210 + 2.40582i −0.0205290 + 0.116426i
\(428\) 1.72382 9.77629i 0.0833242 0.472555i
\(429\) 4.40619 + 9.93763i 0.212733 + 0.479793i
\(430\) 22.1014 + 12.7603i 1.06583 + 0.615355i
\(431\) −7.56785 6.35018i −0.364530 0.305877i 0.442063 0.896984i \(-0.354247\pi\)
−0.806593 + 0.591107i \(0.798691\pi\)
\(432\) 18.0774 + 14.2586i 0.869747 + 0.686017i
\(433\) −12.4605 34.2348i −0.598811 1.64522i −0.753646 0.657280i \(-0.771707\pi\)
0.154835 0.987940i \(-0.450515\pi\)
\(434\) −13.5305 16.1250i −0.649484 0.774025i
\(435\) 22.4707 1.53653i 1.07739 0.0736709i
\(436\) 10.5069i 0.503188i
\(437\) 5.75473 8.68903i 0.275286 0.415653i
\(438\) −56.1138 5.98521i −2.68122 0.285984i
\(439\) −36.5493 + 6.44463i −1.74440 + 0.307586i −0.952834 0.303492i \(-0.901847\pi\)
−0.791571 + 0.611078i \(0.790736\pi\)
\(440\) −2.84675 + 2.38871i −0.135714 + 0.113877i
\(441\) 2.79445 0.383959i 0.133069 0.0182838i
\(442\) −17.8900 6.51142i −0.850940 0.309717i
\(443\) −13.6540 + 16.2722i −0.648719 + 0.773113i −0.985720 0.168391i \(-0.946143\pi\)
0.337001 + 0.941504i \(0.390587\pi\)
\(444\) −22.3018 16.2557i −1.05840 0.771464i
\(445\) −23.6787 + 13.6709i −1.12248 + 0.648063i
\(446\) 27.3324 + 4.81944i 1.29423 + 0.228207i
\(447\) −20.9547 6.04361i −0.991123 0.285853i
\(448\) 7.29758 + 12.6398i 0.344778 + 0.597173i
\(449\) −12.1746 + 21.0870i −0.574553 + 0.995155i 0.421537 + 0.906811i \(0.361491\pi\)
−0.996090 + 0.0883439i \(0.971843\pi\)
\(450\) 18.7434 + 24.1434i 0.883572 + 1.13813i
\(451\) 4.78596 13.1493i 0.225362 0.619177i
\(452\) 5.71078 2.07855i 0.268613 0.0977670i
\(453\) −13.9252 20.7137i −0.654262 0.973214i
\(454\) 4.73987 + 26.8811i 0.222453 + 1.26159i
\(455\) −20.2988 −0.951622
\(456\) 0.648394 + 3.53446i 0.0303638 + 0.165516i
\(457\) 22.9690 1.07444 0.537221 0.843441i \(-0.319474\pi\)
0.537221 + 0.843441i \(0.319474\pi\)
\(458\) 0.697013 + 3.95296i 0.0325693 + 0.184710i
\(459\) −7.34355 18.4205i −0.342767 0.859797i
\(460\) 12.6244 4.59489i 0.588614 0.214238i
\(461\) −1.89821 + 5.21530i −0.0884086 + 0.242901i −0.976015 0.217701i \(-0.930144\pi\)
0.887607 + 0.460602i \(0.152366\pi\)
\(462\) −14.5085 + 13.9676i −0.674997 + 0.649831i
\(463\) −1.08672 + 1.88225i −0.0505040 + 0.0874755i −0.890172 0.455624i \(-0.849416\pi\)
0.839668 + 0.543100i \(0.182749\pi\)
\(464\) 8.99500 + 15.5798i 0.417583 + 0.723274i
\(465\) 6.78439 23.5231i 0.314618 1.09086i
\(466\) −50.8576 8.96757i −2.35593 0.415414i
\(467\) 20.8547 12.0405i 0.965040 0.557166i 0.0673192 0.997731i \(-0.478555\pi\)
0.897720 + 0.440566i \(0.145222\pi\)
\(468\) 10.0418 + 9.09784i 0.464182 + 0.420548i
\(469\) 10.8306 12.9074i 0.500111 0.596010i
\(470\) 18.0133 + 6.55629i 0.830889 + 0.302419i
\(471\) −29.3903 + 7.27976i −1.35423 + 0.335434i
\(472\) −3.74109 + 3.13914i −0.172197 + 0.144491i
\(473\) −9.87247 + 1.74078i −0.453937 + 0.0800413i
\(474\) 1.48078 13.8829i 0.0680144 0.637663i
\(475\) −1.40580 + 22.8767i −0.0645024 + 1.04966i
\(476\) 16.4814i 0.755425i
\(477\) 0.378288 9.95345i 0.0173206 0.455737i
\(478\) 21.9886 + 26.2050i 1.00574 + 1.19859i
\(479\) −9.79379 26.9082i −0.447490 1.22947i −0.934466 0.356053i \(-0.884122\pi\)
0.486976 0.873415i \(-0.338100\pi\)
\(480\) −18.6223 + 38.0325i −0.849987 + 1.73594i
\(481\) 17.9123 + 15.0302i 0.816731 + 0.685319i
\(482\) 13.0199 + 7.51707i 0.593042 + 0.342393i
\(483\) −9.31937 + 4.13206i −0.424046 + 0.188015i
\(484\) 1.54070 8.73772i 0.0700316 0.397169i
\(485\) −2.15844 + 12.2411i −0.0980096 + 0.555840i
\(486\) −0.232634 + 30.2036i −0.0105525 + 1.37006i
\(487\) 23.5201 + 13.5793i 1.06580 + 0.615338i 0.927030 0.374987i \(-0.122353\pi\)
0.138766 + 0.990325i \(0.455686\pi\)
\(488\) −0.361835 0.303615i −0.0163795 0.0137440i
\(489\) 3.60137 + 1.76338i 0.162859 + 0.0797426i
\(490\) 1.99568 + 5.48309i 0.0901558 + 0.247701i
\(491\) 8.78555 + 10.4702i 0.396486 + 0.472514i 0.926945 0.375197i \(-0.122425\pi\)
−0.530459 + 0.847711i \(0.677980\pi\)
\(492\) −1.18992 17.4018i −0.0536458 0.784536i
\(493\) 15.4947i 0.697848i
\(494\) 2.45535 + 21.6055i 0.110472 + 0.972079i
\(495\) −22.8961 4.94049i −1.02910 0.222059i
\(496\) 19.2574 3.39561i 0.864684 0.152467i
\(497\) 0.417862 0.350628i 0.0187437 0.0157278i
\(498\) 2.29055 + 9.24755i 0.102642 + 0.414393i
\(499\) 27.5375 + 10.0228i 1.23275 + 0.448684i 0.874538 0.484956i \(-0.161164\pi\)
0.358211 + 0.933640i \(0.383387\pi\)
\(500\) −0.932472 + 1.11128i −0.0417014 + 0.0496978i
\(501\) 23.5867 32.3593i 1.05377 1.44571i
\(502\) −12.1605 + 7.02084i −0.542748 + 0.313356i
\(503\) 28.9203 + 5.09943i 1.28949 + 0.227372i 0.776006 0.630726i \(-0.217243\pi\)
0.513486 + 0.858098i \(0.328354\pi\)
\(504\) 1.32677 3.25496i 0.0590989 0.144987i
\(505\) −4.26492 7.38705i −0.189786 0.328719i
\(506\) −5.64672 + 9.78040i −0.251027 + 0.434792i
\(507\) 7.65387 + 7.95028i 0.339920 + 0.353085i
\(508\) −3.16584 + 8.69807i −0.140461 + 0.385914i
\(509\) 26.4535 9.62828i 1.17253 0.426766i 0.318972 0.947764i \(-0.396662\pi\)
0.853558 + 0.520998i \(0.174440\pi\)
\(510\) 34.0437 22.8866i 1.50748 1.01343i
\(511\) 7.18780 + 40.7640i 0.317969 + 1.80329i
\(512\) −29.6059 −1.30841
\(513\) −15.0911 + 16.8896i −0.666288 + 0.745694i
\(514\) −21.8835 −0.965240
\(515\) −8.11106 46.0001i −0.357416 2.02701i
\(516\) −10.3703 + 6.97162i −0.456526 + 0.306908i
\(517\) −7.07582 + 2.57539i −0.311194 + 0.113265i
\(518\) −14.8162 + 40.7073i −0.650988 + 1.78857i
\(519\) 5.18186 + 5.38254i 0.227459 + 0.236268i
\(520\) 1.96239 3.39896i 0.0860565 0.149054i
\(521\) −0.605033 1.04795i −0.0265070 0.0459115i 0.852468 0.522780i \(-0.175105\pi\)
−0.878975 + 0.476869i \(0.841772\pi\)
\(522\) −8.90833 + 21.8548i −0.389907 + 0.956558i
\(523\) 14.2503 + 2.51272i 0.623124 + 0.109873i 0.476291 0.879288i \(-0.341981\pi\)
0.146833 + 0.989161i \(0.453092\pi\)
\(524\) 23.5367 13.5889i 1.02820 0.593634i
\(525\) 13.2057 18.1173i 0.576344 0.790705i
\(526\) 27.4516 32.7155i 1.19695 1.42646i
\(527\) −15.8265 5.76038i −0.689414 0.250926i
\(528\) −4.49809 18.1600i −0.195754 0.790311i
\(529\) 13.2398 11.1095i 0.575644 0.483023i
\(530\) 20.2918 3.57799i 0.881418 0.155418i
\(531\) −30.0891 6.49260i −1.30576 0.281755i
\(532\) −16.8491 + 8.39459i −0.730500 + 0.363952i
\(533\) 14.7787i 0.640137i
\(534\) −1.95448 28.5830i −0.0845785 1.23691i
\(535\) −11.6495 13.8833i −0.503652 0.600229i
\(536\) 1.11425 + 3.06138i 0.0481283 + 0.132231i
\(537\) 0.850087 + 0.416238i 0.0366840 + 0.0179620i
\(538\) 17.3820 + 14.5852i 0.749390 + 0.628813i
\(539\) −1.98498 1.14603i −0.0854990 0.0493629i
\(540\) −28.5865 + 5.93831i −1.23017 + 0.255544i
\(541\) −7.38884 + 41.9042i −0.317671 + 1.80160i 0.239164 + 0.970979i \(0.423127\pi\)
−0.556835 + 0.830623i \(0.687984\pi\)
\(542\) −2.81570 + 15.9686i −0.120944 + 0.685910i
\(543\) −3.04736 + 1.35115i −0.130775 + 0.0579835i
\(544\) 25.2294 + 14.5662i 1.08170 + 0.624520i
\(545\) 14.6942 + 12.3299i 0.629429 + 0.528154i
\(546\) 9.35350 19.1028i 0.400293 0.817523i
\(547\) −3.75150 10.3072i −0.160403 0.440703i 0.833291 0.552835i \(-0.186454\pi\)
−0.993693 + 0.112132i \(0.964232\pi\)
\(548\) −11.2851 13.4490i −0.482073 0.574513i
\(549\) 0.113068 2.97503i 0.00482562 0.126971i
\(550\) 24.8365i 1.05903i
\(551\) −15.8404 + 7.89203i −0.674822 + 0.336212i
\(552\) 0.209053 1.95996i 0.00889790 0.0834215i
\(553\) −10.0853 + 1.77831i −0.428870 + 0.0756213i
\(554\) 22.0182 18.4755i 0.935463 0.784947i
\(555\) −48.9054 + 12.1135i −2.07592 + 0.514189i
\(556\) −14.9359 5.43621i −0.633422 0.230547i
\(557\) 0.363563 0.433278i 0.0154047 0.0183586i −0.758287 0.651921i \(-0.773963\pi\)
0.773692 + 0.633562i \(0.218408\pi\)
\(558\) 19.0110 + 17.2239i 0.804799 + 0.729146i
\(559\) 9.16905 5.29376i 0.387810 0.223902i
\(560\) 34.4042 + 6.06638i 1.45384 + 0.256351i
\(561\) −4.46542 + 15.4827i −0.188530 + 0.653680i
\(562\) −5.72548 9.91682i −0.241515 0.418316i
\(563\) −15.0497 + 26.0669i −0.634271 + 1.09859i 0.352398 + 0.935850i \(0.385366\pi\)
−0.986669 + 0.162739i \(0.947967\pi\)
\(564\) −6.76178 + 6.50968i −0.284722 + 0.274107i
\(565\) 3.79471 10.4259i 0.159645 0.438620i
\(566\) −39.8032 + 14.4872i −1.67306 + 0.608942i
\(567\) 21.3339 5.97539i 0.895940 0.250943i
\(568\) 0.0183145 + 0.103866i 0.000768458 + 0.00435814i
\(569\) −1.55575 −0.0652205 −0.0326103 0.999468i \(-0.510382\pi\)
−0.0326103 + 0.999468i \(0.510382\pi\)
\(570\) −40.7368 23.1462i −1.70628 0.969486i
\(571\) 11.9752 0.501147 0.250574 0.968098i \(-0.419381\pi\)
0.250574 + 0.968098i \(0.419381\pi\)
\(572\) −1.91198 10.8434i −0.0799438 0.453384i
\(573\) 13.1813 + 19.6071i 0.550656 + 0.819100i
\(574\) −25.7283 + 9.36434i −1.07388 + 0.390860i
\(575\) 4.29989 11.8138i 0.179318 0.492672i
\(576\) −10.9075 14.0500i −0.454480 0.585417i
\(577\) 1.38649 2.40147i 0.0577204 0.0999746i −0.835721 0.549154i \(-0.814950\pi\)
0.893442 + 0.449179i \(0.148283\pi\)
\(578\) 2.35944 + 4.08667i 0.0981398 + 0.169983i
\(579\) 42.6658 + 12.3054i 1.77313 + 0.511394i
\(580\) −22.4667 3.96148i −0.932879 0.164492i
\(581\) 6.05183 3.49402i 0.251072 0.144957i
\(582\) −10.5253 7.67186i −0.436287 0.318009i
\(583\) −5.20261 + 6.20022i −0.215470 + 0.256787i
\(584\) −7.52067 2.73730i −0.311208 0.113270i
\(585\) 24.5077 3.36737i 1.01327 0.139223i
\(586\) −30.2939 + 25.4196i −1.25143 + 1.05007i
\(587\) 12.2045 2.15199i 0.503735 0.0888221i 0.0839947 0.996466i \(-0.473232\pi\)
0.419741 + 0.907644i \(0.362121\pi\)
\(588\) −2.84092 0.303018i −0.117158 0.0124962i
\(589\) 2.17215 + 19.1135i 0.0895018 + 0.787559i
\(590\) 63.6757i 2.62149i
\(591\) −6.39817 + 0.437501i −0.263186 + 0.0179964i
\(592\) −25.8675 30.8277i −1.06315 1.26701i
\(593\) −9.59916 26.3735i −0.394190 1.08303i −0.965069 0.261994i \(-0.915620\pi\)
0.570879 0.821034i \(-0.306602\pi\)
\(594\) 15.1997 19.2705i 0.623653 0.790680i
\(595\) −23.0497 19.3410i −0.944947 0.792905i
\(596\) 19.1302 + 11.0448i 0.783604 + 0.452414i
\(597\) −5.98234 13.4925i −0.244841 0.552210i
\(598\) 2.07117 11.7462i 0.0846964 0.480337i
\(599\) 4.69683 26.6371i 0.191907 1.08836i −0.724847 0.688910i \(-0.758090\pi\)
0.916754 0.399451i \(-0.130799\pi\)
\(600\) 1.75702 + 3.96275i 0.0717300 + 0.161778i
\(601\) −6.54900 3.78107i −0.267139 0.154233i 0.360448 0.932779i \(-0.382624\pi\)
−0.627587 + 0.778547i \(0.715957\pi\)
\(602\) 15.0258 + 12.6081i 0.612404 + 0.513868i
\(603\) −10.9351 + 17.3804i −0.445312 + 0.707786i
\(604\) 8.64652 + 23.7561i 0.351822 + 0.966623i
\(605\) −10.4119 12.4085i −0.423305 0.504475i
\(606\) 8.91704 0.609739i 0.362230 0.0247689i
\(607\) 14.7418i 0.598352i −0.954198 0.299176i \(-0.903288\pi\)
0.954198 0.299176i \(-0.0967117\pi\)
\(608\) 2.04086 33.2112i 0.0827679 1.34689i
\(609\) 17.2134 + 1.83601i 0.697522 + 0.0743991i
\(610\) 6.06509 1.06944i 0.245568 0.0433003i
\(611\) 6.09206 5.11185i 0.246459 0.206803i
\(612\) 2.73411 + 19.8988i 0.110520 + 0.804362i
\(613\) 3.20258 + 1.16564i 0.129351 + 0.0470799i 0.405885 0.913924i \(-0.366963\pi\)
−0.276534 + 0.961004i \(0.589186\pi\)
\(614\) 1.81378 2.16158i 0.0731983 0.0872343i
\(615\) −25.7333 18.7570i −1.03767 0.756355i
\(616\) −2.47354 + 1.42810i −0.0996618 + 0.0575398i
\(617\) −31.0226 5.47012i −1.24892 0.220219i −0.490187 0.871617i \(-0.663071\pi\)
−0.758736 + 0.651399i \(0.774182\pi\)
\(618\) 47.0273 + 13.5633i 1.89172 + 0.545596i
\(619\) 9.59361 + 16.6166i 0.385600 + 0.667878i 0.991852 0.127394i \(-0.0406612\pi\)
−0.606253 + 0.795272i \(0.707328\pi\)
\(620\) −12.3986 + 21.4750i −0.497941 + 0.862458i
\(621\) 10.5662 6.53482i 0.424009 0.262233i
\(622\) 17.4630 47.9792i 0.700202 1.92379i
\(623\) −19.7472 + 7.18740i −0.791156 + 0.287957i
\(624\) 11.0238 + 16.3979i 0.441306 + 0.656442i
\(625\) −4.10547 23.2833i −0.164219 0.931331i
\(626\) −44.3348 −1.77197
\(627\) 18.1025 3.32088i 0.722943 0.132623i
\(628\) 30.6684 1.22380
\(629\) 6.01880 + 34.1343i 0.239985 + 1.36102i
\(630\) 21.3912 + 40.5318i 0.852246 + 1.61482i
\(631\) 33.0297 12.0218i 1.31489 0.478581i 0.413074 0.910698i \(-0.364455\pi\)
0.901818 + 0.432116i \(0.142233\pi\)
\(632\) 0.677226 1.86066i 0.0269386 0.0740132i
\(633\) 4.94114 4.75691i 0.196393 0.189070i
\(634\) 5.12596 8.87843i 0.203578 0.352608i
\(635\) 8.44937 + 14.6347i 0.335303 + 0.580762i
\(636\) −2.79582 + 9.69379i −0.110861 + 0.384384i
\(637\) 2.38394 + 0.420353i 0.0944552 + 0.0166550i
\(638\) 16.6081 9.58871i 0.657522 0.379621i
\(639\) −0.446339 + 0.492649i −0.0176569 + 0.0194889i
\(640\) −7.77996 + 9.27180i −0.307530 + 0.366500i
\(641\) 13.3925 + 4.87448i 0.528972 + 0.192530i 0.592679 0.805438i \(-0.298070\pi\)
−0.0637070 + 0.997969i \(0.520292\pi\)
\(642\) 18.4333 4.56579i 0.727505 0.180198i
\(643\) 10.2448 8.59638i 0.404014 0.339008i −0.418029 0.908434i \(-0.637279\pi\)
0.822043 + 0.569426i \(0.192834\pi\)
\(644\) 10.1688 1.79303i 0.400705 0.0706551i
\(645\) −2.41955 + 22.6843i −0.0952699 + 0.893195i
\(646\) −17.7980 + 26.8731i −0.700254 + 1.05731i
\(647\) 44.1193i 1.73451i 0.497867 + 0.867254i \(0.334117\pi\)
−0.497867 + 0.867254i \(0.665883\pi\)
\(648\) −1.06190 + 4.14996i −0.0417155 + 0.163026i
\(649\) 16.0778 + 19.1607i 0.631108 + 0.752125i
\(650\) 8.97143 + 24.6488i 0.351888 + 0.966805i
\(651\) 8.27465 16.8994i 0.324309 0.662341i
\(652\) −3.11132 2.61071i −0.121849 0.102243i
\(653\) 0.0130791 + 0.00755119i 0.000511823 + 0.000295501i 0.500256 0.865878i \(-0.333239\pi\)
−0.499744 + 0.866173i \(0.666573\pi\)
\(654\) −18.3743 + 8.14689i −0.718494 + 0.318569i
\(655\) 8.61592 48.8633i 0.336652 1.90925i
\(656\) 4.41669 25.0483i 0.172443 0.977971i
\(657\) −15.4405 48.0239i −0.602392 1.87359i
\(658\) 12.7594 + 7.36663i 0.497413 + 0.287181i
\(659\) 12.3679 + 10.3779i 0.481784 + 0.404264i 0.851071 0.525051i \(-0.175954\pi\)
−0.369287 + 0.929315i \(0.620398\pi\)
\(660\) 21.3076 + 10.4331i 0.829397 + 0.406107i
\(661\) 16.1067 + 44.2528i 0.626477 + 1.72123i 0.690547 + 0.723287i \(0.257370\pi\)
−0.0640698 + 0.997945i \(0.520408\pi\)
\(662\) −33.0517 39.3895i −1.28459 1.53091i
\(663\) −1.16099 16.9787i −0.0450890 0.659397i
\(664\) 1.35114i 0.0524345i
\(665\) −8.03238 + 33.4150i −0.311482 + 1.29578i
\(666\) 11.1354 51.6057i 0.431488 1.99968i
\(667\) 9.55997 1.68568i 0.370164 0.0652698i
\(668\) −31.0699 + 26.0707i −1.20213 + 1.00871i
\(669\) 5.96489 + 24.0818i 0.230616 + 0.931058i
\(670\) −39.9160 14.5282i −1.54209 0.561274i
\(671\) −1.55503 + 1.85321i −0.0600312 + 0.0715424i
\(672\) −19.1714 + 26.3018i −0.739551 + 1.01461i
\(673\) −24.0985 + 13.9133i −0.928928 + 0.536317i −0.886472 0.462782i \(-0.846851\pi\)
−0.0424553 + 0.999098i \(0.513518\pi\)
\(674\) −29.0159 5.11629i −1.11765 0.197072i
\(675\) −12.9384 + 24.0646i −0.497999 + 0.926247i
\(676\) −5.58896 9.68036i −0.214960 0.372321i
\(677\) −11.1265 + 19.2717i −0.427626 + 0.740670i −0.996662 0.0816430i \(-0.973983\pi\)
0.569036 + 0.822313i \(0.307317\pi\)
\(678\) 8.06302 + 8.37528i 0.309658 + 0.321651i
\(679\) −3.26749 + 8.97734i −0.125395 + 0.344519i
\(680\) 5.46692 1.98980i 0.209647 0.0763053i
\(681\) −20.2495 + 13.6131i −0.775961 + 0.521655i
\(682\) −3.61973 20.5285i −0.138607 0.786077i
\(683\) 27.9609 1.06989 0.534947 0.844886i \(-0.320332\pi\)
0.534947 + 0.844886i \(0.320332\pi\)
\(684\) 18.9501 12.9303i 0.724575 0.494402i
\(685\) −32.0519 −1.22464
\(686\) 6.57657 + 37.2976i 0.251094 + 1.42403i
\(687\) −2.97775 + 2.00185i −0.113608 + 0.0763754i
\(688\) −17.1226 + 6.23211i −0.652792 + 0.237597i
\(689\) 2.92364 8.03264i 0.111382 0.306019i
\(690\) 17.8243 + 18.5145i 0.678558 + 0.704837i
\(691\) −21.6169 + 37.4416i −0.822346 + 1.42435i 0.0815844 + 0.996666i \(0.474002\pi\)
−0.903931 + 0.427679i \(0.859331\pi\)
\(692\) −3.78387 6.55385i −0.143841 0.249140i
\(693\) −16.6709 6.79531i −0.633276 0.258132i
\(694\) 25.1637 + 4.43703i 0.955200 + 0.168427i
\(695\) −25.1300 + 14.5088i −0.953235 + 0.550350i
\(696\) −1.97154 + 2.70483i −0.0747312 + 0.102526i
\(697\) −14.0814 + 16.7816i −0.533372 + 0.635648i
\(698\) −23.6075 8.59244i −0.893559 0.325229i
\(699\) −11.0989 44.8092i −0.419799 1.69484i
\(700\) −17.3954 + 14.5965i −0.657485 + 0.551695i
\(701\) 43.7303 7.71084i 1.65167 0.291234i 0.731235 0.682125i \(-0.238944\pi\)
0.920437 + 0.390891i \(0.127833\pi\)
\(702\) −8.12396 + 24.6153i −0.306619 + 0.929046i
\(703\) 31.8301 23.5389i 1.20050 0.887786i
\(704\) 14.4534i 0.544731i
\(705\) 1.16899 + 17.0957i 0.0440265 + 0.643860i
\(706\) −44.9248 53.5393i −1.69077 2.01498i
\(707\) −2.24225 6.16054i −0.0843286 0.231691i
\(708\) 28.0016 + 13.7107i 1.05236 + 0.515280i
\(709\) −20.8623 17.5055i −0.783500 0.657434i 0.160628 0.987015i \(-0.448648\pi\)
−0.944127 + 0.329581i \(0.893093\pi\)
\(710\) −1.19093 0.687581i −0.0446946 0.0258045i
\(711\) 11.8814 3.82008i 0.445589 0.143264i
\(712\) 0.705563 4.00145i 0.0264421 0.149961i
\(713\) 1.83228 10.3914i 0.0686193 0.389160i
\(714\) 28.8226 12.7795i 1.07866 0.478260i
\(715\) −17.4085 10.0508i −0.651040 0.375878i
\(716\) −0.734415 0.616247i −0.0274464 0.0230302i
\(717\) −13.4473 + 27.4635i −0.502197 + 1.02564i
\(718\) 6.46968 + 17.7753i 0.241446 + 0.663369i
\(719\) −3.69216 4.40015i −0.137694 0.164098i 0.692791 0.721139i \(-0.256381\pi\)
−0.830485 + 0.557041i \(0.811937\pi\)
\(720\) −42.5441 1.61692i −1.58553 0.0602590i
\(721\) 35.9005i 1.33700i
\(722\) 36.5377 + 4.50758i 1.35979 + 0.167755i
\(723\) −1.42536 + 13.3633i −0.0530097 + 0.496988i
\(724\) 3.32510 0.586305i 0.123576 0.0217899i
\(725\) −16.3540 + 13.7226i −0.607372 + 0.509646i
\(726\) 16.4751 4.08075i 0.611447 0.151451i
\(727\) −22.9240 8.34367i −0.850206 0.309450i −0.120081 0.992764i \(-0.538316\pi\)
−0.730124 + 0.683314i \(0.760538\pi\)
\(728\) 1.93899 2.31080i 0.0718637 0.0856439i
\(729\) −24.7662 + 10.7535i −0.917266 + 0.398276i
\(730\) 90.3714 52.1760i 3.34480 1.93112i
\(731\) 15.4557 + 2.72525i 0.571648 + 0.100797i
\(732\) −0.835653 + 2.89742i −0.0308866 + 0.107092i
\(733\) 5.91692 + 10.2484i 0.218546 + 0.378533i 0.954364 0.298647i \(-0.0965352\pi\)
−0.735817 + 0.677180i \(0.763202\pi\)
\(734\) 12.6957 21.9897i 0.468609 0.811654i
\(735\) −3.75761 + 3.61751i −0.138602 + 0.133434i
\(736\) −6.24236 + 17.1507i −0.230096 + 0.632184i
\(737\) 15.6795 5.70686i 0.577561 0.210215i
\(738\) 29.5095 15.5741i 1.08626 0.573290i
\(739\) 6.52457 + 37.0027i 0.240010 + 1.36117i 0.831801 + 0.555074i \(0.187310\pi\)
−0.591791 + 0.806092i \(0.701579\pi\)
\(740\) 51.0321 1.87598
\(741\) −16.7661 + 9.83474i −0.615917 + 0.361288i
\(742\) 15.8366 0.581379
\(743\) −4.39621 24.9322i −0.161281 0.914672i −0.952816 0.303548i \(-0.901829\pi\)
0.791535 0.611124i \(-0.209282\pi\)
\(744\) 2.02980 + 3.01932i 0.0744159 + 0.110694i
\(745\) 37.8959 13.7930i 1.38840 0.505336i
\(746\) −20.7185 + 56.9237i −0.758559 + 2.08413i
\(747\) −6.72703 + 5.22244i −0.246129 + 0.191079i
\(748\) 8.16065 14.1347i 0.298383 0.516814i
\(749\) −6.96470 12.0632i −0.254485 0.440780i
\(750\) −2.66642 0.769030i −0.0973638 0.0280810i
\(751\) −2.04271 0.360186i −0.0745397 0.0131434i 0.136254 0.990674i \(-0.456494\pi\)
−0.210794 + 0.977531i \(0.567605\pi\)
\(752\) −11.8531 + 6.84337i −0.432237 + 0.249552i
\(753\) −10.1434 7.39350i −0.369646 0.269434i
\(754\) −13.0190 + 15.5154i −0.474123 + 0.565038i
\(755\) 43.3703 + 15.7855i 1.57841 + 0.574494i
\(756\) −22.4300 + 0.679507i −0.815770 + 0.0247134i
\(757\) −25.7099 + 21.5732i −0.934443 + 0.784091i −0.976610 0.215020i \(-0.931018\pi\)
0.0421666 + 0.999111i \(0.486574\pi\)
\(758\) −16.0894 + 2.83700i −0.584395 + 0.103045i
\(759\) −10.0383 1.07071i −0.364369 0.0388643i
\(760\) −4.81869 4.57539i −0.174792 0.165967i
\(761\) 46.4063i 1.68223i −0.540859 0.841113i \(-0.681901\pi\)
0.540859 0.841113i \(-0.318099\pi\)
\(762\) −17.6658 + 1.20797i −0.639966 + 0.0437603i
\(763\) 9.47657 + 11.2937i 0.343075 + 0.408861i
\(764\) −8.18462 22.4870i −0.296109 0.813553i