Properties

Label 57.2.j.b.2.3
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 2.3
Character \(\chi\) = 57.2
Dual form 57.2.j.b.29.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.336464 - 1.90818i) q^{2} +(-1.20126 - 1.24779i) q^{3} +(-1.64856 - 0.600025i) q^{4} +(1.09544 + 3.00968i) q^{5} +(-2.78518 + 1.87239i) q^{6} +(-1.23083 - 2.13186i) q^{7} +(0.237981 - 0.412196i) q^{8} +(-0.113935 + 2.99784i) q^{9} +O(q^{10})\) \(q+(0.336464 - 1.90818i) q^{2} +(-1.20126 - 1.24779i) q^{3} +(-1.64856 - 0.600025i) q^{4} +(1.09544 + 3.00968i) q^{5} +(-2.78518 + 1.87239i) q^{6} +(-1.23083 - 2.13186i) q^{7} +(0.237981 - 0.412196i) q^{8} +(-0.113935 + 2.99784i) q^{9} +(6.11159 - 1.07764i) q^{10} +(2.11115 + 1.21887i) q^{11} +(1.23165 + 2.77783i) q^{12} +(1.65491 + 1.97225i) q^{13} +(-4.48210 + 1.63135i) q^{14} +(2.43953 - 4.98229i) 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} +(-1.18155 + 4.09673i) q^{21} +(3.03615 - 3.61834i) q^{22} +(-0.817753 + 2.24676i) q^{23} +(-0.800210 + 0.198206i) q^{24} +(-4.02800 + 3.37989i) q^{25} +(4.32022 - 2.49428i) q^{26} +(3.87752 - 3.45902i) q^{27} +(0.749922 + 4.25302i) q^{28} +(-0.705026 - 3.99840i) q^{29} +(-8.68629 - 6.33142i) q^{30} +(-3.82192 + 2.20658i) q^{31} +(-5.84764 + 4.90675i) q^{32} +(-1.01515 - 4.09844i) q^{33} +(-2.52912 + 6.94869i) q^{34} +(5.06793 - 6.03972i) q^{35} +(1.98661 - 4.87374i) 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} +(7.41975 + 3.63301i) q^{42} +(3.86432 - 1.40650i) q^{43} +(-2.74899 - 3.27612i) q^{44} +(-9.14735 + 2.94103i) q^{45} +(4.01207 + 2.31637i) q^{46} +(-3.04197 + 0.536381i) q^{47} +(0.523561 + 7.65674i) q^{48} +(0.470118 - 0.814268i) q^{49} +(5.09416 + 8.82335i) q^{50} +(3.68789 + 5.48573i) q^{51} +(-1.54482 - 4.24435i) q^{52} +(-3.11998 - 1.13558i) q^{53} +(-5.29579 - 8.56284i) q^{54} +(-1.35579 + 7.68908i) q^{55} -1.17166 q^{56} +(7.48647 - 0.976071i) q^{57} -7.86688 q^{58} +(1.78173 - 10.1047i) q^{59} +(-7.01121 + 6.74980i) q^{60} +(0.932543 + 0.339418i) q^{61} +(2.92462 + 8.03534i) q^{62} +(6.53120 - 3.44693i) q^{63} +(2.96450 + 5.13466i) q^{64} +(-4.12299 + 7.14123i) q^{65} +(-8.16212 + 0.558118i) q^{66} +(-6.74077 + 1.18858i) q^{67} +(5.79826 + 3.34763i) q^{68} +(3.78581 - 1.67857i) q^{69} +(-9.81970 - 11.7027i) q^{70} +(0.208227 - 0.0757884i) q^{71} +(1.20858 + 0.760393i) 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} +(-8.30204 - 2.39442i) q^{78} +(2.67409 - 3.18686i) q^{79} +(4.85382 - 13.3357i) q^{80} +(-8.97404 - 0.683116i) q^{81} +(8.52023 - 7.14932i) q^{82} +(2.45843 - 1.41938i) q^{83} +(4.40600 - 6.04473i) q^{84} +(-2.12253 - 12.0375i) q^{85} +(-1.38365 - 7.84704i) q^{86} +(-4.14222 + 5.68285i) q^{87} +(1.00483 - 0.580137i) q^{88} +(-6.53953 + 5.48732i) q^{89} +(2.53426 + 18.4443i) q^{90} +(2.16764 - 5.95553i) q^{91} +(2.69622 - 3.21323i) q^{92} +(7.34447 + 2.11824i) 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} +(-3.89451 + 6.19000i) 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 \(-0.704224\pi\)
0.836386 0.548141i \(-0.184664\pi\)
\(3\) −1.20126 1.24779i −0.693549 0.720409i
\(4\) −1.64856 0.600025i −0.824278 0.300013i
\(5\) 1.09544 + 3.00968i 0.489894 + 1.34597i 0.900776 + 0.434283i \(0.142998\pi\)
−0.410883 + 0.911688i \(0.634779\pi\)
\(6\) −2.78518 + 1.87239i −1.13704 + 0.764400i
\(7\) −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
\(9\) −0.113935 + 2.99784i −0.0379783 + 0.999279i
\(10\) 6.11159 1.07764i 1.93265 0.340779i
\(11\) 2.11115 + 1.21887i 0.636535 + 0.367503i 0.783278 0.621671i \(-0.213546\pi\)
−0.146744 + 0.989175i \(0.546879\pi\)
\(12\) 1.23165 + 2.77783i 0.355546 + 0.801891i
\(13\) 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
\(15\) 2.43953 4.98229i 0.629885 1.28642i
\(16\) −3.39430 2.84816i −0.848575 0.712039i
\(17\) −3.75838 0.662704i −0.911541 0.160729i −0.301838 0.953359i \(-0.597600\pi\)
−0.609703 + 0.792630i \(0.708711\pi\)
\(18\) 5.68207 + 1.22607i 1.33928 + 0.288988i
\(19\) −2.59177 + 3.50468i −0.594592 + 0.804028i
\(20\) 5.61892i 1.25643i
\(21\) −1.18155 + 4.09673i −0.257836 + 0.893981i
\(22\) 3.03615 3.61834i 0.647309 0.771433i
\(23\) −0.817753 + 2.24676i −0.170513 + 0.468481i −0.995286 0.0969829i \(-0.969081\pi\)
0.824773 + 0.565464i \(0.191303\pi\)
\(24\) −0.800210 + 0.198206i −0.163342 + 0.0404586i
\(25\) −4.02800 + 3.37989i −0.805599 + 0.675978i
\(26\) 4.32022 2.49428i 0.847264 0.489168i
\(27\) 3.87752 3.45902i 0.746229 0.665689i
\(28\) 0.749922 + 4.25302i 0.141722 + 0.803745i
\(29\) −0.705026 3.99840i −0.130920 0.742484i −0.977614 0.210405i \(-0.932522\pi\)
0.846694 0.532080i \(-0.178589\pi\)
\(30\) −8.68629 6.33142i −1.58589 1.15595i
\(31\) −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
\(33\) −1.01515 4.09844i −0.176715 0.713447i
\(34\) −2.52912 + 6.94869i −0.433740 + 1.19169i
\(35\) 5.06793 6.03972i 0.856636 1.02090i
\(36\) 1.98661 4.87374i 0.331101 0.812289i
\(37\) 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 0.917967 0.396657i \(-0.129830\pi\)
−0.231228 + 0.972900i \(0.574274\pi\)
\(42\) 7.41975 + 3.63301i 1.14489 + 0.560586i
\(43\) 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
\(45\) −9.14735 + 2.94103i −1.36361 + 0.438422i
\(46\) 4.01207 + 2.31637i 0.591548 + 0.341530i
\(47\) −3.04197 + 0.536381i −0.443717 + 0.0782393i −0.391043 0.920372i \(-0.627886\pi\)
−0.0526741 + 0.998612i \(0.516774\pi\)
\(48\) 0.523561 + 7.65674i 0.0755695 + 1.10516i
\(49\) 0.470118 0.814268i 0.0671597 0.116324i
\(50\) 5.09416 + 8.82335i 0.720423 + 1.24781i
\(51\) 3.68789 + 5.48573i 0.516408 + 0.768156i
\(52\) −1.54482 4.24435i −0.214227 0.588585i
\(53\) −3.11998 1.13558i −0.428562 0.155984i 0.118728 0.992927i \(-0.462118\pi\)
−0.547290 + 0.836943i \(0.684341\pi\)
\(54\) −5.29579 8.56284i −0.720666 1.16525i
\(55\) −1.35579 + 7.68908i −0.182815 + 1.03679i
\(56\) −1.17166 −0.156569
\(57\) 7.48647 0.976071i 0.991608 0.129284i
\(58\) −7.86688 −1.03297
\(59\) 1.78173 10.1047i 0.231961 1.31552i −0.616959 0.786995i \(-0.711636\pi\)
0.848920 0.528521i \(-0.177253\pi\)
\(60\) −7.01121 + 6.74980i −0.905143 + 0.871396i
\(61\) 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
\(63\) 6.53120 3.44693i 0.822854 0.434273i
\(64\) 2.96450 + 5.13466i 0.370562 + 0.641832i
\(65\) −4.12299 + 7.14123i −0.511394 + 0.885760i
\(66\) −8.16212 + 0.558118i −1.00469 + 0.0686996i
\(67\) −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
\(69\) 3.78581 1.67857i 0.455758 0.202076i
\(70\) −9.81970 11.7027i −1.17368 1.39874i
\(71\) 0.208227 0.0757884i 0.0247120 0.00899443i −0.329635 0.944109i \(-0.606926\pi\)
0.354347 + 0.935114i \(0.384703\pi\)
\(72\) 1.20858 + 0.760393i 0.142433 + 0.0896131i
\(73\) 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
\(78\) −8.30204 2.39442i −0.940021 0.271114i
\(79\) 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
\(81\) −8.97404 0.683116i −0.997115 0.0759017i
\(82\) 8.52023 7.14932i 0.940902 0.789511i
\(83\) 2.45843 1.41938i 0.269848 0.155797i −0.358970 0.933349i \(-0.616872\pi\)
0.628819 + 0.777552i \(0.283539\pi\)
\(84\) 4.40600 6.04473i 0.480734 0.659534i
\(85\) −2.12253 12.0375i −0.230221 1.30565i
\(86\) −1.38365 7.84704i −0.149202 0.846168i
\(87\) −4.14222 + 5.68285i −0.444093 + 0.609266i
\(88\) 1.00483 0.580137i 0.107115 0.0618428i
\(89\) −6.53953 + 5.48732i −0.693189 + 0.581654i −0.919827 0.392325i \(-0.871671\pi\)
0.226638 + 0.973979i \(0.427226\pi\)
\(90\) 2.53426 + 18.4443i 0.267134 + 1.94420i
\(91\) 2.16764 5.95553i 0.227230 0.624310i
\(92\) 2.69622 3.21323i 0.281101 0.335003i
\(93\) 7.34447 + 2.11824i 0.761586 + 0.219651i
\(94\) 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
\(99\) −3.89451 + 6.19000i −0.391413 + 0.622118i
\(100\) 8.66840 3.15504i 0.866840 0.315504i
\(101\) 1.71188 + 2.04014i 0.170338 + 0.203001i 0.844459 0.535620i \(-0.179922\pi\)
−0.674121 + 0.738621i \(0.735477\pi\)
\(102\) 11.7086 5.19141i 1.15932 0.514026i
\(103\) −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
\(105\) −13.6242 + 0.931609i −1.32958 + 0.0909157i
\(106\) −3.21665 + 5.57140i −0.312428 + 0.541142i
\(107\) 2.82927 + 4.90044i 0.273516 + 0.473744i 0.969760 0.244062i \(-0.0784800\pi\)
−0.696244 + 0.717806i \(0.745147\pi\)
\(108\) −8.46781 + 3.37578i −0.814815 + 0.324835i
\(109\) 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
\(111\) −11.3326 + 10.9101i −1.07564 + 1.03554i
\(112\) −1.89406 + 10.7418i −0.178972 + 1.01500i
\(113\) 3.46411 0.325876 0.162938 0.986636i \(-0.447903\pi\)
0.162938 + 0.986636i \(0.447903\pi\)
\(114\) 0.656407 14.6139i 0.0614782 1.36872i
\(115\) −7.65783 −0.714096
\(116\) −1.23687 + 7.01462i −0.114840 + 0.651291i
\(117\) −6.10102 + 4.73644i −0.564040 + 0.437884i
\(118\) −18.6820 6.79971i −1.71982 0.625964i
\(119\) 3.21313 + 8.82801i 0.294547 + 0.809262i
\(120\) −1.47312 2.19126i −0.134476 0.200034i
\(121\) −2.52871 4.37985i −0.229883 0.398168i
\(122\) 0.961437 1.66526i 0.0870444 0.150765i
\(123\) −0.678267 9.91922i −0.0611572 0.894386i
\(124\) 7.62465 1.34443i 0.684714 0.120733i
\(125\) −0.716113 0.413448i −0.0640510 0.0369799i
\(126\) −4.37985 13.6225i −0.390188 1.21359i
\(127\) 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
\(129\) −6.39706 3.13226i −0.563230 0.275780i
\(130\) 12.2395 + 10.2702i 1.07348 + 0.900753i
\(131\) 15.2563 + 2.69009i 1.33295 + 0.235034i 0.794314 0.607507i \(-0.207831\pi\)
0.538631 + 0.842542i \(0.318942\pi\)
\(132\) −0.785632 + 7.36563i −0.0683805 + 0.641095i
\(133\) 10.6615 + 1.21162i 0.924469 + 0.105061i
\(134\) 13.2625i 1.14571i
\(135\) 14.6581 + 7.88097i 1.26157 + 0.678286i
\(136\) −1.16759 + 1.39148i −0.100120 + 0.119318i
\(137\) −3.42271 + 9.40381i −0.292422 + 0.803422i 0.703289 + 0.710904i \(0.251714\pi\)
−0.995711 + 0.0925182i \(0.970508\pi\)
\(138\) −1.92922 7.78878i −0.164226 0.663025i
\(139\) 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
\(141\) 4.32349 + 3.15139i 0.364104 + 0.265395i
\(142\) −0.0745571 0.422834i −0.00625669 0.0354835i
\(143\) 1.08985 + 6.18082i 0.0911375 + 0.516866i
\(144\) 8.92504 9.85105i 0.743753 0.820921i
\(145\) 11.2616 6.50189i 0.935226 0.539953i
\(146\) 24.9586 20.9427i 2.06558 1.73323i
\(147\) −1.58077 + 0.391544i −0.130379 + 0.0322940i
\(148\) −5.44954 + 14.9725i −0.447950 + 1.23073i
\(149\) 8.09355 9.64552i 0.663049 0.790191i −0.324771 0.945793i \(-0.605287\pi\)
0.987820 + 0.155601i \(0.0497315\pi\)
\(150\) 4.89021 16.9556i 0.399284 1.38442i
\(151\) 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
\(156\) −3.44030 + 7.02617i −0.275445 + 0.562544i
\(157\) −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
\(159\) 2.33096 + 5.25719i 0.184857 + 0.416922i
\(160\) −21.1735 12.2245i −1.67391 0.966432i
\(161\) 5.79629 1.02204i 0.456811 0.0805482i
\(162\) −4.32294 + 16.8942i −0.339643 + 1.32734i
\(163\) 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
\(165\) 11.2230 7.54487i 0.873708 0.587367i
\(166\) −1.88125 5.16870i −0.146014 0.401169i
\(167\) −21.7247 7.90714i −1.68111 0.611873i −0.687646 0.726046i \(-0.741356\pi\)
−0.993461 + 0.114173i \(0.963578\pi\)
\(168\) 1.40747 + 1.46198i 0.108589 + 0.112794i
\(169\) 1.10640 6.27472i 0.0851079 0.482671i
\(170\) −23.6838 −1.81647
\(171\) −10.2111 8.16899i −0.780866 0.624698i
\(172\) −7.21447 −0.550098
\(173\) −0.749063 + 4.24815i −0.0569502 + 0.322981i −0.999952 0.00980732i \(-0.996878\pi\)
0.943002 + 0.332788i \(0.107989\pi\)
\(174\) 9.45019 + 9.81618i 0.716417 + 0.744162i
\(175\) 12.1632 + 4.42705i 0.919453 + 0.334654i
\(176\) −3.69433 10.1501i −0.278471 0.765092i
\(177\) −14.7488 + 9.91515i −1.10859 + 0.745269i
\(178\) 8.27047 + 14.3249i 0.619898 + 1.07369i
\(179\) −0.273237 + 0.473261i −0.0204227 + 0.0353732i −0.876056 0.482209i \(-0.839835\pi\)
0.855633 + 0.517582i \(0.173168\pi\)
\(180\) 16.8446 + 0.640191i 1.25552 + 0.0477170i
\(181\) −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
\(183\) −0.696709 1.57134i −0.0515022 0.116157i
\(184\) 0.731494 + 0.871761i 0.0539265 + 0.0642671i
\(185\) 27.3345 9.94895i 2.00967 0.731461i
\(186\) 6.51313 13.3019i 0.477566 0.975339i
\(187\) −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 \(0.835719\pi\)
\(192\) 2.84581 9.86713i 0.205379 0.712099i
\(193\) 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
\(195\) 13.8635 3.43389i 0.992786 0.245906i
\(196\) −1.26360 + 1.06028i −0.0902570 + 0.0757346i
\(197\) 3.20655 1.85131i 0.228458 0.131900i −0.381403 0.924409i \(-0.624559\pi\)
0.609860 + 0.792509i \(0.291226\pi\)
\(198\) 10.5013 + 9.51413i 0.746293 + 0.676140i
\(199\) 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
\(201\) 9.58053 + 6.98323i 0.675758 + 0.492559i
\(202\) 4.46893 2.58014i 0.314433 0.181538i
\(203\) −7.65626 + 6.42436i −0.537364 + 0.450902i
\(204\) −2.78812 11.2564i −0.195207 0.788103i
\(205\) −6.28806 + 17.2763i −0.439177 + 1.20663i
\(206\) −18.1638 + 21.6468i −1.26553 + 1.50821i
\(207\) −6.64224 2.70747i −0.461668 0.188182i
\(208\) 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
\(213\) −0.344703 0.168781i −0.0236187 0.0115647i
\(214\) 10.3029 3.74994i 0.704290 0.256341i
\(215\) 8.46622 + 10.0896i 0.577391 + 0.688108i
\(216\) −0.503017 2.42148i −0.0342260 0.164761i
\(217\) 9.40825 + 5.43186i 0.638674 + 0.368738i
\(218\) 11.4281 2.01509i 0.774011 0.136479i
\(219\) −1.98687 29.0566i −0.134260 1.96347i
\(220\) 6.84874 11.8624i 0.461742 0.799760i
\(221\) −4.91277 8.50916i −0.330469 0.572388i
\(222\) 17.0054 + 25.2955i 1.14133 + 1.69772i
\(223\) −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
\(225\) −9.67343 12.4604i −0.644895 0.830691i
\(226\) 1.16555 6.61015i 0.0775311 0.439701i
\(227\) 14.0873 0.935008 0.467504 0.883991i \(-0.345153\pi\)
0.467504 + 0.883991i \(0.345153\pi\)
\(228\) −12.9275 2.88297i −0.856147 0.190929i
\(229\) −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
\(231\) −7.48782 + 7.20864i −0.492662 + 0.474294i
\(232\) −1.81591 0.660936i −0.119220 0.0433926i
\(233\) −9.11566 25.0451i −0.597187 1.64076i −0.756852 0.653586i \(-0.773264\pi\)
0.159665 0.987171i \(-0.448959\pi\)
\(234\) 6.98521 + 13.2355i 0.456638 + 0.865231i
\(235\) −4.94662 8.56780i −0.322682 0.558901i
\(236\) −9.00033 + 15.5890i −0.585872 + 1.01476i
\(237\) −7.18880 + 0.491563i −0.466963 + 0.0319305i
\(238\) 17.9265 3.16093i 1.16200 0.204893i
\(239\) 15.2895 + 8.82739i 0.988995 + 0.570996i 0.904974 0.425468i \(-0.139890\pi\)
0.0840210 + 0.996464i \(0.473224\pi\)
\(240\) −22.4709 + 9.96322i −1.45049 + 0.643123i
\(241\) −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
\(243\) 9.92780 + 12.0183i 0.636868 + 0.770972i
\(244\) −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
\(249\) −4.72431 1.36255i −0.299391 0.0863482i
\(250\) −1.02988 + 1.22736i −0.0651352 + 0.0776251i
\(251\) 2.47858 6.80985i 0.156447 0.429834i −0.836562 0.547872i \(-0.815438\pi\)
0.993009 + 0.118038i \(0.0376604\pi\)
\(252\) −12.8353 + 1.76358i −0.808547 + 0.111095i
\(253\) −4.46490 + 3.74650i −0.280706 + 0.235540i
\(254\) 8.85355 5.11160i 0.555521 0.320730i
\(255\) −12.4705 + 17.1086i −0.780931 + 1.07139i
\(256\) 3.33061 + 18.8888i 0.208163 + 1.18055i
\(257\) −1.96119 11.1224i −0.122336 0.693799i −0.982855 0.184381i \(-0.940972\pi\)
0.860519 0.509418i \(-0.170139\pi\)
\(258\) −8.12930 + 11.1529i −0.506108 + 0.694346i
\(259\) −19.3619 + 11.1786i −1.20309 + 0.694606i
\(260\) 11.0819 9.29881i 0.687270 0.576688i
\(261\) 12.0669 1.65799i 0.746921 0.102627i
\(262\) 10.2663 28.2066i 0.634257 1.74261i
\(263\) −14.1677 + 16.8844i −0.873618 + 1.04114i 0.125180 + 0.992134i \(0.460049\pi\)
−0.998799 + 0.0490039i \(0.984395\pi\)
\(264\) −1.93095 0.556911i −0.118842 0.0342755i
\(265\) 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 \(-0.161577\pi\)
−0.326950 + 0.945042i \(0.606021\pi\)
\(270\) 19.9702 25.3187i 1.21535 1.54085i
\(271\) −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
\(273\) −10.0351 + 4.44942i −0.607354 + 0.269291i
\(274\) 16.7925 + 9.69518i 1.01447 + 0.585707i
\(275\) −12.6233 + 2.22584i −0.761216 + 0.134223i
\(276\) −7.24830 + 0.495632i −0.436296 + 0.0298335i
\(277\) 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
\(279\) −6.17953 11.7089i −0.369959 0.700992i
\(280\) −1.28348 3.52632i −0.0767023 0.210738i
\(281\) −5.55341 2.02128i −0.331289 0.120579i 0.171020 0.985268i \(-0.445294\pi\)
−0.502309 + 0.864688i \(0.667516\pi\)
\(282\) 7.46811 7.18968i 0.444720 0.428139i
\(283\) −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
\(285\) 11.1386 + 21.4627i 0.659794 + 1.27134i
\(286\) 12.1608 0.719084
\(287\) 2.45374 13.9158i 0.144839 0.821425i
\(288\) −14.0434 18.0893i −0.827514 1.06592i
\(289\) −2.28853 0.832957i −0.134620 0.0489975i
\(290\) −8.61766 23.6768i −0.506046 1.39035i
\(291\) −3.75027 5.57853i −0.219845 0.327019i
\(292\) −14.7498 25.5474i −0.863166 1.49505i
\(293\) 10.2048 17.6752i 0.596169 1.03260i −0.397211 0.917727i \(-0.630022\pi\)
0.993381 0.114869i \(-0.0366447\pi\)
\(294\) 0.215266 + 3.14813i 0.0125546 + 0.183603i
\(295\) 32.3636 5.70658i 1.88428 0.332250i
\(296\) −3.74364 2.16139i −0.217595 0.125628i
\(297\) 12.4021 2.57631i 0.719644 0.149492i
\(298\) −15.6822 18.6893i −0.908445 1.08264i
\(299\) −5.78447 + 2.10537i −0.334524 + 0.121757i
\(300\) −14.3498 7.02626i −0.828488 0.405662i
\(301\) −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
\(306\) −20.5429 8.37357i −1.17436 0.478685i
\(307\) 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
\(309\) 6.07318 + 24.5190i 0.345491 + 1.39484i
\(310\) −20.9801 + 17.6044i −1.19159 + 0.999862i
\(311\) −22.8208 + 13.1756i −1.29405 + 0.747118i −0.979369 0.202081i \(-0.935230\pi\)
−0.314677 + 0.949199i \(0.601896\pi\)
\(312\) −1.71519 1.25020i −0.0971033 0.0707785i
\(313\) 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
\(315\) 17.5287 + 15.8809i 0.987629 + 0.894790i
\(316\) −6.32058 + 3.64919i −0.355561 + 0.205283i
\(317\) −4.05314 + 3.40099i −0.227647 + 0.191019i −0.749476 0.662032i \(-0.769694\pi\)
0.521829 + 0.853050i \(0.325250\pi\)
\(318\) 10.8159 2.67903i 0.606528 0.150232i
\(319\) 3.38512 9.30054i 0.189530 0.520730i
\(320\) −12.2063 + 14.5469i −0.682352 + 0.813196i
\(321\) 2.71600 9.41705i 0.151592 0.525608i
\(322\) 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
\(327\) 4.56171 9.31644i 0.252263 0.515200i
\(328\) 2.56737 0.934447i 0.141759 0.0515962i
\(329\) 4.88764 + 5.82486i 0.269464 + 0.321135i
\(330\) −10.6208 23.9540i −0.584658 1.31863i
\(331\) 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
\(333\) 27.2269 + 1.03478i 1.49203 + 0.0567055i
\(334\) −22.3978 + 38.7941i −1.22555 + 2.12272i
\(335\) −10.9613 18.9856i −0.598881 1.03729i
\(336\) 15.6787 10.5403i 0.855342 0.575021i
\(337\) 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
\(339\) −4.16131 4.32247i −0.226011 0.234764i
\(340\) −3.72368 + 21.1180i −0.201945 + 1.14529i
\(341\) −10.7582 −0.582587
\(342\) −19.0236 + 16.7361i −1.02868 + 0.904987i
\(343\) −19.5462 −1.05539
\(344\) 0.339883 1.92758i 0.0183253 0.103928i
\(345\) 9.19906 + 9.55532i 0.495261 + 0.514441i
\(346\) 7.85419 + 2.85869i 0.422244 + 0.153684i
\(347\) 4.51031 + 12.3920i 0.242126 + 0.665236i 0.999919 + 0.0127407i \(0.00405560\pi\)
−0.757793 + 0.652495i \(0.773722\pi\)
\(348\) 10.2385 6.88306i 0.548843 0.368971i
\(349\) 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
\(351\) 13.2390 + 1.92305i 0.706645 + 0.102645i
\(352\) −18.3259 + 3.23135i −0.976774 + 0.172232i
\(353\) −31.2379 18.0352i −1.66262 0.959916i −0.971455 0.237222i \(-0.923763\pi\)
−0.691168 0.722694i \(-0.742904\pi\)
\(354\) 13.9575 + 31.4794i 0.741831 + 1.67311i
\(355\) 0.456198 + 0.543676i 0.0242125 + 0.0288553i
\(356\) 14.0733 5.12226i 0.745884 0.271479i
\(357\) 7.15564 14.6141i 0.378717 0.773458i
\(358\) 0.811132 + 0.680620i 0.0428696 + 0.0359719i
\(359\) 9.61424 + 1.69525i 0.507420 + 0.0894719i 0.421497 0.906830i \(-0.361505\pi\)
0.0859235 + 0.996302i \(0.472616\pi\)
\(360\) −0.964619 + 4.47041i −0.0508399 + 0.235611i
\(361\) −5.56550 18.1666i −0.292921 0.956137i
\(362\) 3.72910i 0.195997i
\(363\) −2.42747 + 8.41663i −0.127409 + 0.441759i
\(364\) −7.14694 + 8.51739i −0.374602 + 0.446433i
\(365\) −18.4198 + 50.6079i −0.964136 + 2.64894i
\(366\) −3.23282 + 0.800746i −0.168982 + 0.0418557i
\(367\) 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
\(369\) −11.5623 + 12.7619i −0.601908 + 0.664359i
\(370\) −9.78731 55.5066i −0.508818 2.88565i
\(371\) 1.41927 + 8.04906i 0.0736846 + 0.417886i
\(372\) −10.8368 7.89891i −0.561860 0.409539i
\(373\) −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
\(375\) 0.344345 + 1.39021i 0.0177819 + 0.0717903i
\(376\) −0.502838 + 1.38154i −0.0259319 + 0.0712473i
\(377\) 6.71907 8.00748i 0.346050 0.412406i
\(378\) −11.7365 + 21.8293i −0.603663 + 1.12278i
\(379\) 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 0.570645 0.821197i \(-0.306693\pi\)
−0.709630 + 0.704575i \(0.751138\pi\)
\(384\) 5.87853 + 2.87837i 0.299987 + 0.146886i
\(385\) 18.0608 6.57359i 0.920462 0.335021i
\(386\) −31.9304 38.0532i −1.62522 1.93686i
\(387\) 3.77616 + 11.7448i 0.191953 + 0.597023i
\(388\) −5.89634 3.40425i −0.299341 0.172825i
\(389\) 31.7209 5.59325i 1.60831 0.283589i 0.703917 0.710282i \(-0.251433\pi\)
0.904396 + 0.426693i \(0.140322\pi\)
\(390\) −1.88791 27.6094i −0.0955979 1.39806i
\(391\) 4.56236 7.90224i 0.230729 0.399634i
\(392\) −0.223759 0.387561i −0.0113015 0.0195748i
\(393\) −14.9701 22.2680i −0.755143 1.12327i
\(394\) −2.45373 6.74158i −0.123617 0.339636i
\(395\) 12.5207 + 4.55717i 0.629986 + 0.229296i
\(396\) 10.1345 7.86775i 0.509276 0.395370i
\(397\) 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
\(399\) −11.2954 14.7587i −0.565478 0.738861i
\(400\) 23.2987 1.16493
\(401\) −5.63502 + 31.9578i −0.281399 + 1.59589i 0.436471 + 0.899718i \(0.356228\pi\)
−0.717871 + 0.696177i \(0.754883\pi\)
\(402\) 16.5488 15.9318i 0.825377 0.794604i
\(403\) −10.6769 3.88606i −0.531852 0.193578i
\(404\) −1.59799 4.39045i −0.0795031 0.218433i
\(405\) −7.77452 27.7573i −0.386319 1.37927i
\(406\) 9.68279 + 16.7711i 0.480549 + 0.832335i
\(407\) 11.0700 19.1738i 0.548720 0.950411i
\(408\) 3.13885 0.214631i 0.155396 0.0106258i
\(409\) −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
\(411\) 15.8455 7.02565i 0.781601 0.346550i
\(412\) 16.4459 + 19.5995i 0.810231 + 0.965596i
\(413\) −23.7347 + 8.63874i −1.16791 + 0.425084i
\(414\) −7.40122 + 11.7636i −0.363750 + 0.578150i
\(415\) 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 \(-0.229199\pi\)
\(420\) 23.0192 + 6.63905i 1.12322 + 0.323952i
\(421\) −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
\(423\) −1.26140 9.18044i −0.0613312 0.446368i
\(424\) −1.21058 + 1.01580i −0.0587909 + 0.0493314i
\(425\) 17.3786 10.0335i 0.842986 0.486698i
\(426\) −0.438044 + 0.600966i −0.0212233 + 0.0291169i
\(427\) −0.424210 2.40582i −0.0205290 0.116426i
\(428\) −1.72382 9.77629i −0.0833242 0.472555i
\(429\) 6.40315 8.78468i 0.309147 0.424129i
\(430\) 22.1014 12.7603i 1.06583 0.615355i
\(431\) 7.56785 6.35018i 0.364530 0.305877i −0.442063 0.896984i \(-0.645753\pi\)
0.806593 + 0.591107i \(0.201309\pi\)
\(432\) −23.0133 + 0.697179i −1.10723 + 0.0335431i
\(433\) −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
\(435\) −21.6411 6.24158i −1.03761 0.299261i
\(436\) 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
\(441\) 2.38748 + 1.50211i 0.113690 + 0.0715291i
\(442\) −17.8900 + 6.51142i −0.850940 + 0.309717i
\(443\) 13.6540 + 16.2722i 0.648719 + 0.773113i 0.985720 0.168391i \(-0.0538571\pi\)
−0.337001 + 0.941504i \(0.609413\pi\)
\(444\) 25.2288 11.1860i 1.19731 0.530866i
\(445\) −23.6787 13.6709i −1.12248 0.648063i
\(446\) −27.3324 + 4.81944i −1.29423 + 0.228207i
\(447\) −21.7580 + 1.48779i −1.02912 + 0.0703701i
\(448\) 7.29758 12.6398i 0.344778 0.597173i
\(449\) 12.1746 + 21.0870i 0.574553 + 0.995155i 0.996090 + 0.0883439i \(0.0281575\pi\)
−0.421537 + 0.906811i \(0.638509\pi\)
\(450\) −27.0314 + 14.2662i −1.27427 + 0.672514i
\(451\) 4.78596 + 13.1493i 0.225362 + 0.619177i
\(452\) −5.71078 2.07855i −0.268613 0.0977670i
\(453\) 17.9809 17.3105i 0.844817 0.813319i
\(454\) 4.73987 26.8811i 0.222453 1.26159i
\(455\) 20.2988 0.951622
\(456\) 1.37931 3.31818i 0.0645921 0.155388i
\(457\) 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
\(459\) −16.8655 + 10.4307i −0.787214 + 0.486862i
\(460\) 12.6244 + 4.59489i 0.588614 + 0.214238i
\(461\) 1.89821 + 5.21530i 0.0884086 + 0.242901i 0.976015 0.217701i \(-0.0698559\pi\)
−0.887607 + 0.460602i \(0.847634\pi\)
\(462\) 11.2360 + 16.7135i 0.522746 + 0.777585i
\(463\) −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
\(465\) 1.67015 + 24.4249i 0.0774515 + 1.13268i
\(466\) −50.8576 + 8.96757i −2.35593 + 0.415414i
\(467\) −20.8547 12.0405i −0.965040 0.557166i −0.0673192 0.997731i \(-0.521445\pi\)
−0.897720 + 0.440566i \(0.854778\pi\)
\(468\) 12.8999 4.14752i 0.596296 0.191719i
\(469\) 10.8306 + 12.9074i 0.500111 + 0.596010i
\(470\) −18.0133 + 6.55629i −0.830889 + 0.302419i
\(471\) 27.1936 + 13.3151i 1.25302 + 0.613528i
\(472\) −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
\(477\) 3.75975 9.22380i 0.172147 0.422329i
\(478\) 21.9886 26.2050i 1.00574 1.19859i
\(479\) 9.79379 26.9082i 0.447490 1.22947i −0.486976 0.873415i \(-0.661900\pi\)
0.934466 0.356053i \(-0.115878\pi\)
\(480\) 10.1813 + 41.1048i 0.464713 + 1.87617i
\(481\) 17.9123 15.0302i 0.816731 0.685319i
\(482\) −13.0199 + 7.51707i −0.593042 + 0.342393i
\(483\) −8.23815 6.00478i −0.374849 0.273227i
\(484\) 1.54070 + 8.73772i 0.0700316 + 0.397169i
\(485\) 2.15844 + 12.2411i 0.0980096 + 0.555840i
\(486\) 26.2734 14.9003i 1.19178 0.675892i
\(487\) 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
\(489\) −3.89228 + 0.964089i −0.176015 + 0.0435976i
\(490\) 1.99568 5.48309i 0.0901558 0.247701i
\(491\) −8.78555 + 10.4702i −0.396486 + 0.472514i −0.926945 0.375197i \(-0.877575\pi\)
0.530459 + 0.847711i \(0.322020\pi\)
\(492\) −4.83362 + 16.7594i −0.217916 + 0.755570i
\(493\) 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
\(498\) −4.18955 + 8.55637i −0.187738 + 0.383420i
\(499\) 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
\(501\) 16.2307 + 36.6063i 0.725132 + 1.63545i
\(502\) −12.1605 7.02084i −0.542748 0.313356i
\(503\) −28.9203 + 5.09943i −1.28949 + 0.227372i −0.776006 0.630726i \(-0.782757\pi\)
−0.513486 + 0.858098i \(0.671646\pi\)
\(504\) 0.133493 3.51244i 0.00594623 0.156456i
\(505\) −4.26492 + 7.38705i −0.189786 + 0.328719i
\(506\) 5.64672 + 9.78040i 0.251027 + 0.434792i
\(507\) −9.15858 + 6.15704i −0.406747 + 0.273444i
\(508\) −3.16584 8.69807i −0.140461 0.385914i
\(509\) −26.4535 9.62828i −1.17253 0.426766i −0.318972 0.947764i \(-0.603338\pi\)
−0.853558 + 0.520998i \(0.825560\pi\)
\(510\) 28.4505 + 29.5523i 1.25981 + 1.30860i
\(511\) 7.18780 40.7640i 0.317969 1.80329i
\(512\) 29.6059 1.30841
\(513\) 2.07313 + 22.5544i 0.0915309 + 0.995802i
\(514\) −21.8835 −0.965240
\(515\) 8.11106 46.0001i 0.357416 2.02701i
\(516\) 8.66648 + 9.00211i 0.381521 + 0.396296i
\(517\) −7.07582 2.57539i −0.311194 0.113265i
\(518\) 14.8162 + 40.7073i 0.650988 + 1.78857i
\(519\) 6.20059 4.16847i 0.272176 0.182976i
\(520\) 1.96239 + 3.39896i 0.0860565 + 0.149054i
\(521\) 0.605033 1.04795i 0.0265070 0.0459115i −0.852468 0.522780i \(-0.824895\pi\)
0.878975 + 0.476869i \(0.158228\pi\)
\(522\) 0.896312 23.5836i 0.0392305 1.03223i
\(523\) 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
\(525\) −9.08722 20.4951i −0.396599 0.894481i
\(526\) 27.4516 + 32.7155i 1.19695 + 1.42646i
\(527\) 15.8265 5.76038i 0.689414 0.250926i
\(528\) −8.22727 + 16.8027i −0.358046 + 0.731242i
\(529\) 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
\(534\) 7.93935 27.5277i 0.343569 1.19124i
\(535\) −11.6495 + 13.8833i −0.503652 + 0.600229i
\(536\) −1.11425 + 3.06138i −0.0481283 + 0.132231i
\(537\) 0.918757 0.227569i 0.0396473 0.00982034i
\(538\) 17.3820 14.5852i 0.749390 0.628813i
\(539\) 1.98498 1.14603i 0.0854990 0.0493629i
\(540\) −19.4360 21.7875i −0.836391 0.937584i
\(541\) −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
\(543\) 2.69381 + 1.96352i 0.115603 + 0.0842625i
\(544\) 25.2294 14.5662i 1.08170 0.624520i
\(545\) −14.6942 + 12.3299i −0.629429 + 0.528154i
\(546\) 5.11383 + 20.6459i 0.218852 + 0.883563i
\(547\) −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
\(549\) −1.12377 + 2.75694i −0.0479613 + 0.117663i
\(550\) 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
\(555\) −45.2501 22.1563i −1.92076 0.940482i
\(556\) −14.9359 + 5.43621i −0.633422 + 0.230547i
\(557\) −0.363563 0.433278i −0.0154047 0.0183586i 0.758287 0.651921i \(-0.226037\pi\)
−0.773692 + 0.633562i \(0.781592\pi\)
\(558\) −24.4218 + 7.85203i −1.03386 + 0.332403i
\(559\) 9.16905 + 5.29376i 0.387810 + 0.223902i
\(560\) −34.4042 + 6.06638i −1.45384 + 0.256351i
\(561\) 1.09928 + 16.0762i 0.0464116 + 0.678740i
\(562\) −5.72548 + 9.91682i −0.241515 + 0.418316i
\(563\) 15.0497 + 26.0669i 0.634271 + 1.09859i 0.986669 + 0.162739i \(0.0520330\pi\)
−0.352398 + 0.935850i \(0.614634\pi\)
\(564\) −5.23661 7.78945i −0.220501 0.327995i
\(565\) 3.79471 + 10.4259i 0.159645 + 0.438620i
\(566\) 39.8032 + 14.4872i 1.67306 + 0.608942i
\(567\) 9.58920 + 19.9722i 0.402709 + 0.838753i
\(568\) 0.0183145 0.103866i 0.000768458 0.00435814i
\(569\) 1.55575 0.0652205 0.0326103 0.999468i \(-0.489618\pi\)
0.0326103 + 0.999468i \(0.489618\pi\)
\(570\) 44.7024 14.0331i 1.87238 0.587780i
\(571\) 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
\(573\) 17.0204 16.3858i 0.711035 0.684525i
\(574\) −25.7283 9.36434i −1.07388 0.390860i
\(575\) −4.29989 11.8138i −0.179318 0.492672i
\(576\) −15.7306 + 8.30206i −0.655443 + 0.345919i
\(577\) 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
\(579\) −44.3014 + 3.02929i −1.84110 + 0.125893i
\(580\) −22.4667 + 3.96148i −0.932879 + 0.164492i
\(581\) −6.05183 3.49402i −0.251072 0.144957i
\(582\) −11.9067 + 5.27922i −0.493547 + 0.218831i
\(583\) −5.20261 6.20022i −0.215470 0.256787i
\(584\) 7.52067 2.73730i 0.311208 0.113270i
\(585\) −20.9385 13.1737i −0.865699 0.544664i
\(586\) −30.2939 25.4196i −1.25143 1.05007i
\(587\) −12.2045 2.15199i −0.503735 0.0888221i −0.0839947 0.996466i \(-0.526768\pi\)
−0.419741 + 0.907644i \(0.637879\pi\)
\(588\) 2.84092 + 0.303018i 0.117158 + 0.0124962i
\(589\) 2.17215 19.1135i 0.0895018 0.787559i
\(590\) 63.6757i 2.62149i
\(591\) −6.16195 1.77719i −0.253469 0.0731037i
\(592\) −25.8675 + 30.8277i −1.06315 + 1.26701i
\(593\) 9.59916 26.3735i 0.394190 1.08303i −0.570879 0.821034i \(-0.693398\pi\)
0.965069 0.261994i \(-0.0843802\pi\)
\(594\) −0.743196 24.5323i −0.0304937 1.00657i
\(595\) −23.0497 + 19.3410i −0.944947 + 0.792905i
\(596\) −19.1302 + 11.0448i −0.783604 + 0.452414i
\(597\) 8.69364 11.9271i 0.355807 0.488143i
\(598\) 2.07117 + 11.7462i 0.0846964 + 0.480337i
\(599\) −4.69683 26.6371i −0.191907 1.08836i −0.916754 0.399451i \(-0.869201\pi\)
0.724847 0.688910i \(-0.241910\pi\)
\(600\) 2.55333 3.50300i 0.104239 0.143009i
\(601\) −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
\(603\) −2.79516 20.3431i −0.113828 0.828436i
\(604\) 8.64652 23.7561i 0.351822 0.966623i
\(605\) 10.4119 12.4085i 0.423305 0.504475i
\(606\) −8.58782 2.47684i −0.348856 0.100615i
\(607\) 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
\(612\) −10.6963 + 17.0008i −0.432371 + 0.687217i
\(613\) 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
\(615\) 29.1107 12.9072i 1.17386 0.520470i
\(616\) −2.47354 1.42810i −0.0996618 0.0575398i
\(617\) 31.0226 5.47012i 1.24892 0.220219i 0.490187 0.871617i \(-0.336929\pi\)
0.758736 + 0.651399i \(0.225818\pi\)
\(618\) 48.8301 3.33896i 1.96424 0.134313i
\(619\) 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
\(621\) 4.60073 + 11.5405i 0.184621 + 0.463103i
\(622\) 17.4630 + 47.9792i 0.700202 + 1.92379i
\(623\) 19.7472 + 7.18740i 0.791156 + 0.287957i
\(624\) −14.2345 + 13.7038i −0.569837 + 0.548592i
\(625\) −4.10547 + 23.2833i −0.164219 + 0.931331i
\(626\) 44.3348 1.77197
\(627\) 16.9947 + 7.06442i 0.678705 + 0.282126i
\(628\) 30.6684 1.22380
\(629\) −6.01880 + 34.1343i −0.239985 + 1.36102i
\(630\) 36.2015 28.1045i 1.44230 1.11971i
\(631\) 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
\(633\) −3.82663 5.69210i −0.152095 0.226241i
\(634\) 5.12596 + 8.87843i 0.203578 + 0.352608i
\(635\) −8.44937 + 14.6347i −0.335303 + 0.580762i
\(636\) −0.688263 10.0654i −0.0272914 0.399119i
\(637\) 2.38394 0.420353i 0.0944552 0.0166550i
\(638\) −16.6081 9.58871i −0.657522 0.379621i
\(639\) 0.203477 + 0.632865i 0.00804942 + 0.0250357i
\(640\) −7.77996 9.27180i −0.307530 0.366500i
\(641\) −13.3925 + 4.87448i −0.528972 + 0.192530i −0.592679 0.805438i \(-0.701930\pi\)
0.0637070 + 0.997969i \(0.479708\pi\)
\(642\) −17.0556 8.35111i −0.673130 0.329592i
\(643\) 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 \(0.334117\pi\)
−0.497867 + 0.867254i \(0.665883\pi\)
\(648\) −2.41723 + 3.53649i −0.0949578 + 0.138927i
\(649\) 16.0778 19.1607i 0.631108 0.752125i
\(650\) −8.97143 + 24.6488i −0.351888 + 0.966805i
\(651\) −4.52399 18.2646i −0.177309 0.715845i
\(652\) −3.11132 + 2.61071i −0.121849 + 0.102243i
\(653\) −0.0130791 + 0.00755119i −0.000511823 + 0.000295501i −0.500256 0.865878i \(-0.666761\pi\)
0.499744 + 0.866173i \(0.333427\pi\)
\(654\) −16.2426 11.8392i −0.635135 0.462949i
\(655\) 8.61592 + 48.8633i 0.336652 + 1.90925i
\(656\) −4.41669 25.0483i −0.172443 0.977971i
\(657\) −33.8697 + 37.3838i −1.32138 + 1.45848i
\(658\) 12.7594 7.36663i 0.497413 0.287181i
\(659\) −12.3679 + 10.3779i −0.481784 + 0.404264i −0.851071 0.525051i \(-0.824046\pi\)
0.369287 + 0.929315i \(0.379602\pi\)
\(660\) −23.0288 + 5.70406i −0.896395 + 0.222030i
\(661\) 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
\(663\) −4.71608 + 16.3518i −0.183157 + 0.635052i
\(664\) 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
\(669\) −10.9101 + 22.2819i −0.421810 + 0.861469i
\(670\) −39.9160 + 14.5282i −1.54209 + 0.561274i
\(671\) 1.55503 + 1.85321i 0.0600312 + 0.0715424i
\(672\) −13.1924 29.7538i −0.508906 1.14778i
\(673\) −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
\(675\) −3.92752 + 27.0385i −0.151170 + 1.04071i
\(676\) −5.58896 + 9.68036i −0.214960 + 0.372321i
\(677\) 11.1265 + 19.2717i 0.427626 + 0.740670i 0.996662 0.0816430i \(-0.0260167\pi\)
−0.569036 + 0.822313i \(0.692683\pi\)
\(678\) −9.64817 + 6.48617i −0.370536 + 0.249100i
\(679\) −3.26749 8.97734i −0.125395 0.344519i
\(680\) −5.46692 1.98980i −0.209647 0.0763053i
\(681\) −16.9226 17.5779i −0.648474 0.673588i
\(682\) −3.61973 + 20.5285i −0.138607 + 0.786077i
\(683\) −27.9609 −1.06989 −0.534947 0.844886i \(-0.679668\pi\)
−0.534947 + 0.844886i \(0.679668\pi\)
\(684\) 11.9320 + 19.5940i 0.456233 + 0.749195i
\(685\) −32.0519 −1.22464
\(686\) −6.57657 + 37.2976i −0.251094 + 1.42403i
\(687\) 2.48852 + 2.58489i 0.0949430 + 0.0986199i
\(688\) −17.1226 6.23211i −0.652792 0.237597i
\(689\) −2.92364 8.03264i −0.111382 0.306019i
\(690\) 21.3284 14.3384i 0.811959 0.545855i
\(691\) −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
\(693\) 17.9897 + 0.683710i 0.683371 + 0.0259720i
\(694\) 25.1637 4.43703i 0.955200 0.168427i
\(695\) 25.1300 + 14.5088i 0.953235 + 0.550350i
\(696\) 1.35668 + 3.05982i 0.0514247 + 0.115982i
\(697\) −14.0814 16.7816i −0.533372 0.635648i
\(698\) 23.6075 8.59244i 0.893559 0.325229i
\(699\) −20.3006 + 41.4601i −0.767838 + 1.56817i
\(700\) −17.3954 14.5965i −0.657485 0.551695i
\(701\) −43.7303 7.71084i −1.65167 0.291234i −0.731235 0.682125i \(-0.761056\pi\)
−0.920437 + 0.390891i \(0.872167\pi\)
\(702\) 8.12396 24.6153i 0.306619 0.929046i
\(703\) 31.8301 + 23.5389i 1.20050 + 0.887786i
\(704\) 14.4534i 0.544731i
\(705\) −4.74858 + 16.4645i −0.178842 + 0.620089i
\(706\) −44.9248 + 53.5393i −1.69077 + 2.01498i
\(707\) 2.24225 6.16054i 0.0843286 0.231691i
\(708\) 30.2635 7.49605i 1.13737 0.281719i
\(709\) −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
\(711\) 9.24901 + 8.37958i 0.346865 + 0.314259i
\(712\) 0.705563 + 4.00145i 0.0264421 + 0.149961i
\(713\) −1.83228 10.3914i −0.0686193 0.389160i
\(714\) −25.4786 18.5713i −0.953514 0.695015i
\(715\) −17.4085 + 10.0508i −0.651040 + 0.375878i
\(716\) 0.734415 0.616247i 0.0274464 0.0230302i
\(717\) −7.35201 29.6820i −0.274566 1.10849i
\(718\) 6.46968 17.7753i 0.241446 0.663369i
\(719\) 3.69216 4.40015i 0.137694 0.164098i −0.692791 0.721139i \(-0.743619\pi\)
0.830485 + 0.557041i \(0.188063\pi\)
\(720\) 39.4254 + 16.0703i 1.46930 + 0.598906i
\(721\) 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
\(726\) 15.2437 + 7.46394i 0.565747 + 0.277013i
\(727\) −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
\(729\) 3.07032 26.8249i 0.113716 0.993513i
\(730\) 90.3714 + 52.1760i 3.34480 + 1.93112i
\(731\) −15.4557 + 2.72525i −0.571648 + 0.100797i
\(732\) 0.205718 + 3.00849i 0.00760355 + 0.111197i
\(733\) 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
\(735\) −2.91005 4.32870i −0.107339 0.159666i
\(736\) −6.24236 17.1507i −0.230096 0.632184i
\(737\) −15.6795 5.70686i −0.577561 0.210215i
\(738\) 20.4617 + 26.3568i 0.753207 + 0.970208i
\(739\) 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
\(741\) 14.3145 + 13.1499i 0.525856 + 0.483072i
\(742\) 15.8366 0.581379
\(743\) 4.39621 24.9322i 0.161281 0.914672i −0.791535 0.611124i \(-0.790718\pi\)
0.952816 0.303548i \(-0.0981713\pi\)
\(744\) 2.62098 2.52326i 0.0960897 0.0925071i
\(745\) 37.8959 + 13.7930i 1.38840 + 0.505336i
\(746\) 20.7185 + 56.9237i 0.758559 + 2.08413i
\(747\) 3.97496 + 7.53170i 0.145436 + 0.275571i
\(748\) 8.16065 + 14.1347i 0.298383 + 0.516814i
\(749\) 6.96470 12.0632i 0.254485 0.440780i
\(750\) 2.76864 0.189317i 0.101096 0.00691287i
\(751\) −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
\(753\) −11.4747 + 5.08768i −0.418160 + 0.185405i
\(754\) −13.0190 15.5154i −0.474123 0.565038i
\(755\) −43.3703 + 15.7855i −1.57841 + 0.574494i
\(756\) 17.6191 + 13.8972i 0.640801 + 0.505435i
\(757\) −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 \(-0.681901\pi\)
0.540859 0.841113i \(-0.318099\pi\)
\(762\) −17.0136 4.90695i −0.616338 0.177760i
\(763\) 9.47657 11.2937i 0.343075 0.408861i
\(764\) 8.18462 22.4870i 0.296109 0.813553i