Properties

Label 57.2.j.b.2.2
Level 57
Weight 2
Character 57.2
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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

$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

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

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 0.598470 + 0.801145i \(0.295776\pi\)
−0.836386 + 0.548141i \(0.815336\pi\)
\(3\) 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 −0.900776 0.434283i \(-0.857002\pi\)
0.410883 0.911688i \(-0.365221\pi\)
\(6\) −2.32759 + 2.41773i −0.950233 + 0.987033i
\(7\) −1.23083 2.13186i −0.465210 0.805767i 0.534001 0.845484i \(-0.320688\pi\)
−0.999211 + 0.0397167i \(0.987354\pi\)
\(8\) −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 0.146744 0.989175i \(-0.453121\pi\)
−0.783278 + 0.621671i \(0.786454\pi\)
\(12\) −1.78985 2.45555i −0.516685 0.708857i
\(13\) 1.65491 + 1.97225i 0.458990 + 0.547003i 0.945051 0.326922i \(-0.106011\pi\)
−0.486062 + 0.873924i \(0.661567\pi\)
\(14\) 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 0.609703 0.792630i \(-0.291289\pi\)
0.301838 + 0.953359i \(0.402400\pi\)
\(18\) −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 −0.824773 0.565464i \(-0.808697\pi\)
0.995286 + 0.0969829i \(0.0309192\pi\)
\(24\) −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 0.977614 + 0.210405i \(0.0674782\pi\)
−0.846694 + 0.532080i \(0.821411\pi\)
\(30\) 9.82632 + 4.35683i 1.79403 + 0.795445i
\(31\) −3.82192 + 2.20658i −0.686436 + 0.396314i −0.802276 0.596954i \(-0.796378\pi\)
0.115839 + 0.993268i \(0.463044\pi\)
\(32\) 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 \(-0.731708\pi\)
0.665328 0.746551i \(-0.268292\pi\)
\(38\) −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 0.231228 0.972900i \(-0.425726\pi\)
−0.917967 + 0.396657i \(0.870170\pi\)
\(42\) 8.01912 + 1.98628i 1.23738 + 0.306489i
\(43\) 3.86432 1.40650i 0.589303 0.214489i −0.0301200 0.999546i \(-0.509589\pi\)
0.619423 + 0.785058i \(0.287367\pi\)
\(44\) 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 0.0526741 0.998612i \(-0.483226\pi\)
0.391043 + 0.920372i \(0.372114\pi\)
\(48\) −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 0.547290 0.836943i \(-0.315659\pi\)
−0.118728 + 0.992927i \(0.537882\pi\)
\(54\) −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 0.616959 + 0.786995i \(0.288364\pi\)
−0.848920 + 0.528521i \(0.822747\pi\)
\(60\) −5.42977 + 8.07678i −0.700981 + 1.04271i
\(61\) 0.932543 + 0.339418i 0.119400 + 0.0434580i 0.401029 0.916065i \(-0.368653\pi\)
−0.281629 + 0.959523i \(0.590875\pi\)
\(62\) −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 −0.569499 0.821992i \(-0.692863\pi\)
−0.254017 + 0.967200i \(0.581752\pi\)
\(68\) −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 −0.354347 0.935114i \(-0.615297\pi\)
0.329635 + 0.944109i \(0.393074\pi\)
\(72\) −1.41460 0.194366i −0.166712 0.0229063i
\(73\) 12.8811 + 10.8085i 1.50761 + 1.26504i 0.868241 + 0.496142i \(0.165251\pi\)
0.639373 + 0.768897i \(0.279194\pi\)
\(74\) 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 −0.594342 0.804212i \(-0.702587\pi\)
0.895201 + 0.445663i \(0.147032\pi\)
\(80\) −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 −0.628819 0.777552i \(-0.716461\pi\)
0.358970 + 0.933349i \(0.383128\pi\)
\(84\) −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 −0.226638 0.973979i \(-0.572774\pi\)
0.919827 + 0.392325i \(0.128329\pi\)
\(90\) 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 0.364275 0.931291i \(-0.381317\pi\)
0.0237859 + 0.999717i \(0.492428\pi\)
\(98\) 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 0.674121 0.738621i \(-0.264523\pi\)
−0.844459 + 0.535620i \(0.820078\pi\)
\(102\) −10.3502 + 7.54424i −1.02482 + 0.746991i
\(103\) −12.6300 7.29193i −1.24447 0.718495i −0.274469 0.961596i \(-0.588502\pi\)
−0.970001 + 0.243101i \(0.921835\pi\)
\(104\) −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 0.696244 0.717806i \(-0.254853\pi\)
−0.969760 + 0.244062i \(0.921520\pi\)
\(108\) 4.79492 7.75297i 0.461391 0.746030i
\(109\) 2.04837 + 5.62784i 0.196198 + 0.539049i 0.998309 0.0581251i \(-0.0185122\pi\)
−0.802111 + 0.597174i \(0.796290\pi\)
\(110\) −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 0.895231 0.445602i \(-0.147010\pi\)
−0.594288 + 0.804252i \(0.702566\pi\)
\(128\) 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 −0.538631 0.842542i \(-0.681058\pi\)
−0.794314 + 0.607507i \(0.792169\pi\)
\(132\) 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 −0.703289 0.710904i \(-0.748286\pi\)
0.995711 0.0925182i \(-0.0294916\pi\)
\(138\) 3.52866 + 7.20663i 0.300379 + 0.613469i
\(139\) 6.94034 5.82364i 0.588672 0.493954i −0.299110 0.954219i \(-0.596690\pi\)
0.887782 + 0.460264i \(0.152245\pi\)
\(140\) 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 −0.987820 0.155601i \(-0.950268\pi\)
0.324771 + 0.945793i \(0.394713\pi\)
\(150\) 1.20385 17.6056i 0.0982942 1.43749i
\(151\) 14.4103i 1.17269i 0.810061 + 0.586345i \(0.199434\pi\)
−0.810061 + 0.586345i \(0.800566\pi\)
\(152\) −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 −0.900570 0.434711i \(-0.856851\pi\)
−0.410450 + 0.911883i \(0.634628\pi\)
\(158\) 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 −0.817125 0.576461i \(-0.804433\pi\)
0.907792 + 0.419421i \(0.137767\pi\)
\(164\) 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 0.993461 0.114173i \(-0.0364219\pi\)
0.687646 + 0.726046i \(0.258644\pi\)
\(168\) 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 −0.943002 0.332788i \(-0.892011\pi\)
0.999952 + 0.00980732i \(0.00312182\pi\)
\(174\) −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 −0.855633 0.517582i \(-0.826832\pi\)
0.876056 + 0.482209i \(0.160165\pi\)
\(180\) −15.6098 + 6.36278i −1.16349 + 0.474253i
\(181\) −1.89534 + 0.334200i −0.140880 + 0.0248409i −0.243643 0.969865i \(-0.578343\pi\)
0.102764 + 0.994706i \(0.467231\pi\)
\(182\) 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 \(-0.835719\pi\)
0.869749 0.493494i \(-0.164281\pi\)
\(192\) −0.700570 + 10.2454i −0.0505593 + 0.739398i
\(193\) 16.4792 19.6392i 1.18620 1.41366i 0.297778 0.954635i \(-0.403754\pi\)
0.888423 0.459025i \(-0.151801\pi\)
\(194\) −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 −0.609860 0.792509i \(-0.708774\pi\)
0.381403 + 0.924409i \(0.375441\pi\)
\(198\) 13.4901 + 4.33730i 0.958700 + 0.308238i
\(199\) 1.47970 + 8.39179i 0.104893 + 0.594878i 0.991263 + 0.131900i \(0.0421079\pi\)
−0.886370 + 0.462978i \(0.846781\pi\)
\(200\) −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 0.306263 0.951947i \(-0.400921\pi\)
−0.0377920 + 0.999286i \(0.512032\pi\)
\(212\) −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 −0.988602 0.150555i \(-0.951894\pi\)
0.660538 0.750792i \(-0.270328\pi\)
\(224\) −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 0.756852 + 0.653586i \(0.226736\pi\)
−0.159665 + 0.987171i \(0.551041\pi\)
\(234\) −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 −0.0840210 0.996464i \(-0.526776\pi\)
−0.904974 + 0.425468i \(0.860110\pi\)
\(240\) −19.8638 + 14.4787i −1.28220 + 0.934597i
\(241\) −4.98745 5.94381i −0.321270 0.382874i 0.581104 0.813830i \(-0.302621\pi\)
−0.902373 + 0.430955i \(0.858177\pi\)
\(242\) 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 −0.993009 0.118038i \(-0.962340\pi\)
0.836562 + 0.547872i \(0.184562\pi\)
\(252\) −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 0.982855 + 0.184381i \(0.0590281\pi\)
−0.860519 + 0.509418i \(0.829861\pi\)
\(258\) −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 −0.125180 0.992134i \(-0.539951\pi\)
0.998799 0.0490039i \(-0.0156047\pi\)
\(264\) 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 0.326950 0.945042i \(-0.393979\pi\)
−0.873910 + 0.486088i \(0.838423\pi\)
\(270\) −0.976452 + 32.2319i −0.0594250 + 1.96157i
\(271\) −7.86382 + 2.86220i −0.477693 + 0.173866i −0.569634 0.821898i \(-0.692915\pi\)
0.0919411 + 0.995764i \(0.470693\pi\)
\(272\) −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 −0.552451 0.833545i \(-0.686307\pi\)
0.998097 + 0.0616640i \(0.0196407\pi\)
\(278\) 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 0.502309 0.864688i \(-0.332484\pi\)
−0.171020 + 0.985268i \(0.554706\pi\)
\(282\) −5.78362 + 8.60313i −0.344410 + 0.512309i
\(283\) −3.79608 + 21.5286i −0.225653 + 1.27974i 0.635779 + 0.771871i \(0.280679\pi\)
−0.861432 + 0.507873i \(0.830432\pi\)
\(284\) 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 0.397211 + 0.917727i \(0.369978\pi\)
−0.993381 + 0.114869i \(0.963355\pi\)
\(294\) 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 −0.738670 0.674067i \(-0.764546\pi\)
0.792095 + 0.610397i \(0.208990\pi\)
\(308\) 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 0.314677 0.949199i \(-0.398104\pi\)
0.979369 + 0.202081i \(0.0647704\pi\)
\(312\) −1.94030 0.860297i −0.109848 0.0487047i
\(313\) 3.97326 + 22.5335i 0.224582 + 1.27367i 0.863483 + 0.504379i \(0.168278\pi\)
−0.638901 + 0.769289i \(0.720610\pi\)
\(314\) −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 −0.521829 0.853050i \(-0.674750\pi\)
0.749476 + 0.662032i \(0.230306\pi\)
\(318\) −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 0.973694 0.227860i \(-0.0731729\pi\)
0.289514 + 0.957174i \(0.406506\pi\)
\(332\) 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 0.996963 + 0.0778793i \(0.0248149\pi\)
−0.713658 + 0.700494i \(0.752963\pi\)
\(338\) 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 −0.999919 0.0127407i \(-0.995944\pi\)
0.757793 0.652495i \(-0.226278\pi\)
\(348\) 8.55639 8.88776i 0.458671 0.476434i
\(349\) 6.48287 + 11.2287i 0.347020 + 0.601056i 0.985719 0.168401i \(-0.0538603\pi\)
−0.638699 + 0.769457i \(0.720527\pi\)
\(350\) −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 0.971455 + 0.237222i \(0.0762369\pi\)
0.691168 + 0.722694i \(0.257096\pi\)
\(354\) −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 −0.0859235 0.996302i \(-0.527384\pi\)
−0.421497 + 0.906830i \(0.638495\pi\)
\(360\) 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 −0.342016 0.939694i \(-0.611110\pi\)
0.866028 + 0.499996i \(0.166665\pi\)
\(368\) −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 −0.994587 0.103905i \(-0.966866\pi\)
−0.407309 + 0.913290i \(0.633533\pi\)
\(374\) 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 \(0.0694827\pi\)
−0.976270 + 0.216557i \(0.930517\pi\)
\(380\) −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 0.709630 0.704575i \(-0.248862\pi\)
−0.570645 + 0.821197i \(0.693307\pi\)
\(384\) 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 −0.904396 0.426693i \(-0.859678\pi\)
−0.703917 + 0.710282i \(0.748567\pi\)
\(390\) 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 −0.810417 0.585854i \(-0.800759\pi\)
0.961917 0.273343i \(-0.0881295\pi\)
\(398\) −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 −0.436471 0.899718i \(-0.643772\pi\)
0.717871 0.696177i \(-0.245117\pi\)
\(402\) 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 −0.632497 0.774563i \(-0.717970\pi\)
−0.329436 + 0.944178i \(0.606859\pi\)
\(410\) −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 \(0.229199\pi\)
−0.751773 + 0.659422i \(0.770801\pi\)
\(420\) 23.9017 + 1.63437i 1.16628 + 0.0797493i
\(421\) −18.8465 + 22.4604i −0.918522 + 1.09465i 0.0767040 + 0.997054i \(0.475560\pi\)
−0.995226 + 0.0975979i \(0.968884\pi\)
\(422\) −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 −0.806593 0.591107i \(-0.798691\pi\)
0.442063 + 0.896984i \(0.354247\pi\)
\(432\) 18.0774 14.2586i 0.869747 0.686017i
\(433\) −12.4605 + 34.2348i −0.598811 + 1.64522i 0.154835 + 0.987940i \(0.450515\pi\)
−0.753646 + 0.657280i \(0.771707\pi\)
\(434\) −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 −0.791571 0.611078i \(-0.790736\pi\)
−0.952834 + 0.303492i \(0.901847\pi\)
\(440\) −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 0.337001 0.941504i \(-0.390587\pi\)
−0.985720 + 0.168391i \(0.946143\pi\)
\(444\) −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 −0.996090 0.0883439i \(-0.971843\pi\)
0.421537 0.906811i \(-0.361491\pi\)
\(450\) 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 0.887607 0.460602i \(-0.152366\pi\)
−0.976015 + 0.217701i \(0.930144\pi\)
\(462\) −14.5085 13.9676i −0.674997 0.649831i
\(463\) −1.08672 1.88225i −0.0505040 0.0874755i 0.839668 0.543100i \(-0.182749\pi\)
−0.890172 + 0.455624i \(0.849416\pi\)
\(464\) 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 0.897720 0.440566i \(-0.145222\pi\)
0.0673192 + 0.997731i \(0.478555\pi\)
\(468\) 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 0.486976 + 0.873415i \(0.338100\pi\)
−0.934466 + 0.356053i \(0.884122\pi\)
\(480\) −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 0.138766 0.990325i \(-0.455686\pi\)
0.927030 + 0.374987i \(0.122353\pi\)
\(488\) −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 −0.530459 0.847711i \(-0.677980\pi\)
0.926945 + 0.375197i \(0.122425\pi\)
\(492\) −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 0.358211 0.933640i \(-0.383387\pi\)
0.874538 + 0.484956i \(0.161164\pi\)
\(500\) −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 0.513486 0.858098i \(-0.328354\pi\)
0.776006 + 0.630726i \(0.217243\pi\)
\(504\) 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 0.853558 0.520998i \(-0.174440\pi\)
0.318972 + 0.947764i \(0.396662\pi\)
\(510\) 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 −0.878975 0.476869i \(-0.841772\pi\)
0.852468 + 0.522780i \(0.175105\pi\)
\(522\) −8.90833 21.8548i −0.389907 0.956558i
\(523\) 14.2503 2.51272i 0.623124 0.109873i 0.146833 0.989161i \(-0.453092\pi\)
0.476291 + 0.879288i \(0.341981\pi\)
\(524\) 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 −0.556835 0.830623i \(-0.687984\pi\)
0.239164 0.970979i \(-0.423127\pi\)
\(542\) −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 −0.993693 0.112132i \(-0.964232\pi\)
0.833291 + 0.552835i \(0.186454\pi\)
\(548\) −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 0.773692 0.633562i \(-0.218408\pi\)
−0.758287 + 0.651921i \(0.773963\pi\)
\(558\) 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 −0.986669 0.162739i \(-0.947967\pi\)
0.352398 0.935850i \(-0.385366\pi\)
\(564\) −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 0.893442 0.449179i \(-0.148283\pi\)
−0.835721 + 0.549154i \(0.814950\pi\)
\(578\) 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 0.419741 0.907644i \(-0.362121\pi\)
0.0839947 + 0.996466i \(0.473232\pi\)
\(588\) −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 0.570879 + 0.821034i \(0.306602\pi\)
−0.965069 + 0.261994i \(0.915620\pi\)
\(594\) 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 0.916754 + 0.399451i \(0.130799\pi\)
−0.724847 + 0.688910i \(0.758090\pi\)
\(600\) 1.75702 3.96275i 0.0717300 0.161778i
\(601\) −6.54900 + 3.78107i −0.267139 + 0.154233i −0.627587 0.778547i \(-0.715957\pi\)
0.360448 + 0.932779i \(0.382624\pi\)
\(602\) 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 \(0.0967117\pi\)
−0.954198 + 0.299176i \(0.903288\pi\)
\(608\) 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 −0.276534 0.961004i \(-0.589186\pi\)
0.405885 + 0.913924i \(0.366963\pi\)
\(614\) 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 −0.758736 0.651399i \(-0.774182\pi\)
−0.490187 + 0.871617i \(0.663071\pi\)
\(618\) 47.0273 13.5633i 1.89172 0.545596i
\(619\) 9.59361 16.6166i 0.385600 0.667878i −0.606253 0.795272i \(-0.707328\pi\)
0.991852 + 0.127394i \(0.0406612\pi\)
\(620\) −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 0.901818 0.432116i \(-0.142233\pi\)
0.413074 + 0.910698i \(0.364455\pi\)
\(632\) 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 −0.0637070 0.997969i \(-0.520292\pi\)
0.592679 + 0.805438i \(0.298070\pi\)
\(642\) 18.4333 + 4.56579i 0.727505 + 0.180198i
\(643\) 10.2448 + 8.59638i 0.404014 + 0.339008i 0.822043 0.569426i \(-0.192834\pi\)
−0.418029 + 0.908434i \(0.637279\pi\)
\(644\) 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 \(-0.665883\pi\)
0.497867 0.867254i \(-0.334117\pi\)
\(648\) −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 −0.499744 0.866173i \(-0.666573\pi\)
0.500256 + 0.865878i \(0.333239\pi\)
\(654\) −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 −0.369287 0.929315i \(-0.620398\pi\)
0.851071 + 0.525051i \(0.175954\pi\)
\(660\) 21.3076 10.4331i 0.829397 0.406107i
\(661\) 16.1067 44.2528i 0.626477 1.72123i −0.0640698 0.997945i \(-0.520408\pi\)
0.690547 0.723287i \(-0.257370\pi\)
\(662\) −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 −0.0424553 0.999098i \(-0.513518\pi\)
−0.886472 + 0.462782i \(0.846851\pi\)
\(674\) −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 0.569036 0.822313i \(-0.307317\pi\)
−0.996662 + 0.0816430i \(0.973983\pi\)
\(678\) 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 −0.903931 0.427679i \(-0.859331\pi\)
0.0815844 0.996666i \(-0.474002\pi\)
\(692\) −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 0.920437 0.390891i \(-0.127833\pi\)
0.731235 + 0.682125i \(0.238944\pi\)
\(702\) −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 −0.944127 0.329581i \(-0.893093\pi\)
0.160628 + 0.987015i \(0.448648\pi\)
\(710\) −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 −0.830485 0.557041i \(-0.811937\pi\)
0.692791 + 0.721139i \(0.256381\pi\)
\(720\) −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 −0.730124 0.683314i \(-0.760538\pi\)
−0.120081 + 0.992764i \(0.538316\pi\)
\(728\) 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 −0.735817 0.677180i \(-0.763202\pi\)
0.954364 + 0.298647i \(0.0965352\pi\)
\(734\) 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 −0.591791 0.806092i \(-0.701579\pi\)
0.831801 0.555074i \(-0.187310\pi\)
\(740\) 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 0.791535 + 0.611124i \(0.209282\pi\)
−0.952816 + 0.303548i \(0.901829\pi\)
\(744\) 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 −0.210794 0.977531i \(-0.567605\pi\)
0.136254 + 0.990674i \(0.456494\pi\)
\(752\) −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 0.0421666 0.999111i \(-0.486574\pi\)
−0.976610 + 0.215020i \(0.931018\pi\)
\(758\) −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 \(0.318099\pi\)
−0.540859 + 0.841113i \(0.681901\pi\)
\(762\) −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