Properties

Label 966.2.s.a.97.12
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.12
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0416256 + 0.289512i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.26282 - 1.37100i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0416256 + 0.289512i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.26282 - 1.37100i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.121504 - 0.266058i) q^{10} +(-0.513628 - 1.74926i) q^{11} +(0.281733 + 0.959493i) q^{12} +(2.34999 + 1.07320i) q^{13} +(1.78490 + 1.95298i) q^{14} +(-0.221049 + 0.191540i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-0.948993 + 0.609881i) q^{17} +(0.142315 - 0.989821i) q^{18} +(2.71507 + 1.74487i) q^{19} +(-0.191540 + 0.221049i) q^{20} +(-0.812307 - 2.51797i) q^{21} +1.82310i q^{22} +(4.54715 - 1.52428i) q^{23} -1.00000i q^{24} +(4.71538 + 1.38456i) q^{25} +(-1.95244 - 1.69180i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-1.16238 - 2.37673i) q^{28} +(3.78361 - 2.43158i) q^{29} +(0.266058 - 0.121504i) q^{30} +(2.26832 - 1.96551i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.757345 - 1.65835i) q^{33} +(1.08238 - 0.317814i) q^{34} +(0.491113 - 0.598044i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(4.55467 - 0.654863i) q^{37} +(-2.11351 - 2.43912i) q^{38} +(1.07320 + 2.34999i) q^{39} +(0.246058 - 0.158132i) q^{40} +(-2.18956 - 0.314812i) q^{41} +(0.0700092 + 2.64482i) q^{42} +(3.03177 + 2.62705i) q^{43} +(0.513628 - 1.74926i) q^{44} -0.292489 q^{45} +(-4.79240 + 0.181459i) q^{46} +9.34327i q^{47} +(-0.281733 + 0.959493i) q^{48} +(3.24069 + 6.20467i) q^{49} +(-4.13430 - 2.65695i) q^{50} +(-1.11659 - 0.160541i) q^{51} +(1.39672 + 2.17334i) q^{52} +(10.4199 - 4.75862i) q^{53} +(0.755750 - 0.654861i) q^{54} +(0.527811 - 0.0758877i) q^{55} +(0.445694 + 2.60794i) q^{56} +(0.909268 + 3.09668i) q^{57} +(-4.31540 + 1.26712i) q^{58} +(-11.1766 - 5.10418i) q^{59} +(-0.289512 + 0.0416256i) q^{60} +(6.30483 + 7.27616i) q^{61} +(-2.73018 + 1.24683i) q^{62} +(1.03502 - 2.43490i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-0.408525 + 0.635678i) q^{65} +(-1.19388 + 1.37781i) q^{66} +(2.51321 - 8.55921i) q^{67} -1.12807 q^{68} +(4.43470 + 1.82577i) q^{69} +(-0.639708 + 0.435457i) q^{70} +(-12.9475 - 3.80174i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-3.01076 + 4.68483i) q^{73} +(-4.55467 - 0.654863i) q^{74} +(2.65695 + 4.13430i) q^{75} +(1.34072 + 2.93576i) q^{76} +(-1.23599 + 4.66243i) q^{77} +(-0.367663 - 2.55716i) q^{78} +(6.36288 + 2.90583i) q^{79} +(-0.280641 + 0.0824037i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(2.01218 + 0.918931i) q^{82} +(1.09286 + 7.60102i) q^{83} +(0.677960 - 2.55741i) q^{84} +(-0.137065 - 0.300132i) q^{85} +(-2.16884 - 3.37478i) q^{86} +(4.45181 + 0.640073i) q^{87} +(-0.985644 + 1.53369i) q^{88} +(6.28806 - 7.25681i) q^{89} +(0.280641 + 0.0824037i) q^{90} +(-3.84623 - 5.65031i) q^{91} +(4.64939 + 1.17607i) q^{92} +3.00142 q^{93} +(2.63230 - 8.96480i) q^{94} +(-0.618178 + 0.713415i) q^{95} +(0.540641 - 0.841254i) q^{96} +(-1.34152 + 9.33048i) q^{97} +(-1.36136 - 6.86634i) q^{98} +(1.65835 - 0.757345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.0416256 + 0.289512i −0.0186155 + 0.129474i −0.997010 0.0772733i \(-0.975379\pi\)
0.978394 + 0.206747i \(0.0662877\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) −2.26282 1.37100i −0.855265 0.518191i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) 0.121504 0.266058i 0.0384231 0.0841348i
\(11\) −0.513628 1.74926i −0.154865 0.527420i 0.845110 0.534593i \(-0.179535\pi\)
−0.999974 + 0.00717260i \(0.997717\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) 2.34999 + 1.07320i 0.651770 + 0.297653i 0.713725 0.700426i \(-0.247006\pi\)
−0.0619555 + 0.998079i \(0.519734\pi\)
\(14\) 1.78490 + 1.95298i 0.477035 + 0.521956i
\(15\) −0.221049 + 0.191540i −0.0570745 + 0.0494553i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −0.948993 + 0.609881i −0.230165 + 0.147918i −0.650640 0.759386i \(-0.725499\pi\)
0.420476 + 0.907304i \(0.361863\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 2.71507 + 1.74487i 0.622881 + 0.400301i 0.813668 0.581330i \(-0.197468\pi\)
−0.190787 + 0.981631i \(0.561104\pi\)
\(20\) −0.191540 + 0.221049i −0.0428296 + 0.0494280i
\(21\) −0.812307 2.51797i −0.177260 0.549465i
\(22\) 1.82310i 0.388687i
\(23\) 4.54715 1.52428i 0.948146 0.317835i
\(24\) 1.00000i 0.204124i
\(25\) 4.71538 + 1.38456i 0.943076 + 0.276912i
\(26\) −1.95244 1.69180i −0.382905 0.331789i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) −1.16238 2.37673i −0.219670 0.449161i
\(29\) 3.78361 2.43158i 0.702599 0.451533i −0.139946 0.990159i \(-0.544693\pi\)
0.842545 + 0.538626i \(0.181057\pi\)
\(30\) 0.266058 0.121504i 0.0485752 0.0221836i
\(31\) 2.26832 1.96551i 0.407402 0.353016i −0.426924 0.904288i \(-0.640403\pi\)
0.834326 + 0.551272i \(0.185857\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 0.757345 1.65835i 0.131837 0.288682i
\(34\) 1.08238 0.317814i 0.185626 0.0545047i
\(35\) 0.491113 0.598044i 0.0830133 0.101088i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 4.55467 0.654863i 0.748784 0.107659i 0.242650 0.970114i \(-0.421983\pi\)
0.506134 + 0.862455i \(0.331074\pi\)
\(38\) −2.11351 2.43912i −0.342856 0.395677i
\(39\) 1.07320 + 2.34999i 0.171850 + 0.376300i
\(40\) 0.246058 0.158132i 0.0389051 0.0250028i
\(41\) −2.18956 0.314812i −0.341952 0.0491653i −0.0308006 0.999526i \(-0.509806\pi\)
−0.311152 + 0.950360i \(0.600715\pi\)
\(42\) 0.0700092 + 2.64482i 0.0108027 + 0.408105i
\(43\) 3.03177 + 2.62705i 0.462341 + 0.400621i 0.854643 0.519215i \(-0.173776\pi\)
−0.392302 + 0.919836i \(0.628321\pi\)
\(44\) 0.513628 1.74926i 0.0774323 0.263710i
\(45\) −0.292489 −0.0436017
\(46\) −4.79240 + 0.181459i −0.706600 + 0.0267547i
\(47\) 9.34327i 1.36286i 0.731885 + 0.681428i \(0.238641\pi\)
−0.731885 + 0.681428i \(0.761359\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) 3.24069 + 6.20467i 0.462956 + 0.886381i
\(50\) −4.13430 2.65695i −0.584678 0.375750i
\(51\) −1.11659 0.160541i −0.156354 0.0224803i
\(52\) 1.39672 + 2.17334i 0.193690 + 0.301388i
\(53\) 10.4199 4.75862i 1.43129 0.653647i 0.459213 0.888326i \(-0.348131\pi\)
0.972073 + 0.234679i \(0.0754040\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 0.527811 0.0758877i 0.0711700 0.0102327i
\(56\) 0.445694 + 2.60794i 0.0595584 + 0.348501i
\(57\) 0.909268 + 3.09668i 0.120435 + 0.410165i
\(58\) −4.31540 + 1.26712i −0.566640 + 0.166381i
\(59\) −11.1766 5.10418i −1.45507 0.664507i −0.478180 0.878262i \(-0.658704\pi\)
−0.976887 + 0.213754i \(0.931431\pi\)
\(60\) −0.289512 + 0.0416256i −0.0373758 + 0.00537384i
\(61\) 6.30483 + 7.27616i 0.807250 + 0.931616i 0.998755 0.0498752i \(-0.0158824\pi\)
−0.191505 + 0.981492i \(0.561337\pi\)
\(62\) −2.73018 + 1.24683i −0.346734 + 0.158348i
\(63\) 1.03502 2.43490i 0.130400 0.306769i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −0.408525 + 0.635678i −0.0506713 + 0.0788461i
\(66\) −1.19388 + 1.37781i −0.146956 + 0.169597i
\(67\) 2.51321 8.55921i 0.307038 1.04567i −0.651011 0.759068i \(-0.725655\pi\)
0.958049 0.286606i \(-0.0925269\pi\)
\(68\) −1.12807 −0.136799
\(69\) 4.43470 + 1.82577i 0.533875 + 0.219797i
\(70\) −0.639708 + 0.435457i −0.0764598 + 0.0520470i
\(71\) −12.9475 3.80174i −1.53659 0.451183i −0.599530 0.800353i \(-0.704646\pi\)
−0.937060 + 0.349169i \(0.886464\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) −3.01076 + 4.68483i −0.352382 + 0.548318i −0.971518 0.236966i \(-0.923847\pi\)
0.619135 + 0.785284i \(0.287483\pi\)
\(74\) −4.55467 0.654863i −0.529470 0.0761263i
\(75\) 2.65695 + 4.13430i 0.306798 + 0.477388i
\(76\) 1.34072 + 2.93576i 0.153791 + 0.336755i
\(77\) −1.23599 + 4.66243i −0.140854 + 0.531334i
\(78\) −0.367663 2.55716i −0.0416297 0.289541i
\(79\) 6.36288 + 2.90583i 0.715880 + 0.326931i 0.739841 0.672782i \(-0.234901\pi\)
−0.0239615 + 0.999713i \(0.507628\pi\)
\(80\) −0.280641 + 0.0824037i −0.0313767 + 0.00921302i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 2.01218 + 0.918931i 0.222208 + 0.101479i
\(83\) 1.09286 + 7.60102i 0.119957 + 0.834320i 0.957600 + 0.288102i \(0.0930241\pi\)
−0.837643 + 0.546219i \(0.816067\pi\)
\(84\) 0.677960 2.55741i 0.0739715 0.279037i
\(85\) −0.137065 0.300132i −0.0148668 0.0325538i
\(86\) −2.16884 3.37478i −0.233872 0.363912i
\(87\) 4.45181 + 0.640073i 0.477284 + 0.0686230i
\(88\) −0.985644 + 1.53369i −0.105070 + 0.163492i
\(89\) 6.28806 7.25681i 0.666533 0.769220i −0.317297 0.948326i \(-0.602775\pi\)
0.983830 + 0.179106i \(0.0573205\pi\)
\(90\) 0.280641 + 0.0824037i 0.0295822 + 0.00868612i
\(91\) −3.84623 5.65031i −0.403195 0.592314i
\(92\) 4.64939 + 1.17607i 0.484733 + 0.122613i
\(93\) 3.00142 0.311232
\(94\) 2.63230 8.96480i 0.271501 0.924649i
\(95\) −0.618178 + 0.713415i −0.0634237 + 0.0731949i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) −1.34152 + 9.33048i −0.136211 + 0.947367i 0.801015 + 0.598644i \(0.204294\pi\)
−0.937226 + 0.348723i \(0.886616\pi\)
\(98\) −1.36136 6.86634i −0.137519 0.693606i
\(99\) 1.65835 0.757345i 0.166671 0.0761160i
\(100\) 3.21828 + 3.71409i 0.321828 + 0.371409i
\(101\) −15.8015 + 2.27192i −1.57231 + 0.226064i −0.872627 0.488387i \(-0.837585\pi\)
−0.699685 + 0.714452i \(0.746676\pi\)
\(102\) 1.02613 + 0.468617i 0.101602 + 0.0464000i
\(103\) 14.5845 4.28239i 1.43705 0.421956i 0.531813 0.846862i \(-0.321511\pi\)
0.905237 + 0.424906i \(0.139693\pi\)
\(104\) −0.727842 2.47880i −0.0713708 0.243067i
\(105\) 0.762795 0.130361i 0.0744411 0.0127219i
\(106\) −11.3385 + 1.63023i −1.10129 + 0.158342i
\(107\) 6.78277 5.87730i 0.655715 0.568180i −0.262173 0.965021i \(-0.584439\pi\)
0.917887 + 0.396841i \(0.129894\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) 5.27743 + 8.21185i 0.505486 + 0.786552i 0.996411 0.0846501i \(-0.0269772\pi\)
−0.490924 + 0.871202i \(0.663341\pi\)
\(110\) −0.527811 0.0758877i −0.0503248 0.00723561i
\(111\) 3.87104 + 2.48776i 0.367423 + 0.236128i
\(112\) 0.307101 2.62787i 0.0290183 0.248310i
\(113\) 4.58115 15.6019i 0.430958 1.46771i −0.402651 0.915353i \(-0.631911\pi\)
0.833609 0.552355i \(-0.186271\pi\)
\(114\) 3.22741i 0.302275i
\(115\) 0.252021 + 1.37990i 0.0235011 + 0.128677i
\(116\) 4.49759 0.417590
\(117\) −0.727842 + 2.47880i −0.0672890 + 0.229165i
\(118\) 9.28585 + 8.04623i 0.854831 + 0.740716i
\(119\) 2.98355 0.0789753i 0.273501 0.00723965i
\(120\) 0.289512 + 0.0416256i 0.0264287 + 0.00379988i
\(121\) 6.45771 4.15012i 0.587064 0.377283i
\(122\) −3.99951 8.75770i −0.362098 0.792885i
\(123\) −1.44860 1.67178i −0.130616 0.150739i
\(124\) 2.97087 0.427146i 0.266792 0.0383589i
\(125\) −1.20465 + 2.63781i −0.107747 + 0.235933i
\(126\) −1.67908 + 2.04467i −0.149585 + 0.182154i
\(127\) 4.38883 1.28868i 0.389446 0.114352i −0.0811468 0.996702i \(-0.525858\pi\)
0.470593 + 0.882350i \(0.344040\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.570912 + 3.97078i 0.0502660 + 0.349608i
\(130\) 0.571068 0.494833i 0.0500860 0.0433998i
\(131\) 3.35174 1.53069i 0.292843 0.133737i −0.263576 0.964639i \(-0.584902\pi\)
0.556419 + 0.830902i \(0.312175\pi\)
\(132\) 1.53369 0.985644i 0.133491 0.0857893i
\(133\) −3.75149 7.67071i −0.325295 0.665135i
\(134\) −4.82282 + 7.50445i −0.416628 + 0.648286i
\(135\) −0.221049 0.191540i −0.0190248 0.0164851i
\(136\) 1.08238 + 0.317814i 0.0928129 + 0.0272523i
\(137\) 3.37551i 0.288389i −0.989549 0.144195i \(-0.953941\pi\)
0.989549 0.144195i \(-0.0460591\pi\)
\(138\) −3.74068 3.00122i −0.318428 0.255480i
\(139\) 10.6290i 0.901540i −0.892640 0.450770i \(-0.851149\pi\)
0.892640 0.450770i \(-0.148851\pi\)
\(140\) 0.736478 0.237591i 0.0622438 0.0200801i
\(141\) −6.11854 + 7.06117i −0.515274 + 0.594658i
\(142\) 11.3520 + 7.29548i 0.952638 + 0.612223i
\(143\) 0.670289 4.66196i 0.0560524 0.389853i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 0.546476 + 1.19662i 0.0453824 + 0.0993736i
\(146\) 4.20867 3.64683i 0.348312 0.301814i
\(147\) −1.61404 + 6.81138i −0.133124 + 0.561793i
\(148\) 4.18568 + 1.91154i 0.344061 + 0.157127i
\(149\) 2.17600 + 7.41079i 0.178265 + 0.607115i 0.999341 + 0.0362963i \(0.0115560\pi\)
−0.821076 + 0.570819i \(0.806626\pi\)
\(150\) −1.38456 4.71538i −0.113049 0.385009i
\(151\) −5.15066 + 11.2784i −0.419155 + 0.917821i 0.575809 + 0.817584i \(0.304687\pi\)
−0.994964 + 0.100237i \(0.968040\pi\)
\(152\) −0.459309 3.19456i −0.0372549 0.259113i
\(153\) −0.738729 0.852538i −0.0597227 0.0689237i
\(154\) 2.49948 4.12535i 0.201414 0.332430i
\(155\) 0.474619 + 0.738521i 0.0381223 + 0.0593195i
\(156\) −0.367663 + 2.55716i −0.0294366 + 0.204736i
\(157\) −12.8772 8.27569i −1.02771 0.660472i −0.0857956 0.996313i \(-0.527343\pi\)
−0.941919 + 0.335841i \(0.890980\pi\)
\(158\) −5.28647 4.58075i −0.420569 0.364425i
\(159\) 10.9911 + 3.22727i 0.871650 + 0.255939i
\(160\) 0.292489 0.0231233
\(161\) −12.3792 2.78499i −0.975615 0.219488i
\(162\) 1.00000 0.0785674
\(163\) −19.6351 5.76539i −1.53794 0.451580i −0.600471 0.799647i \(-0.705020\pi\)
−0.937470 + 0.348067i \(0.886838\pi\)
\(164\) −1.67178 1.44860i −0.130544 0.113117i
\(165\) 0.448589 + 0.288290i 0.0349226 + 0.0224434i
\(166\) 1.09286 7.60102i 0.0848225 0.589954i
\(167\) −0.381032 0.592897i −0.0294851 0.0458797i 0.826198 0.563380i \(-0.190499\pi\)
−0.855683 + 0.517500i \(0.826863\pi\)
\(168\) −1.37100 + 2.26282i −0.105775 + 0.174580i
\(169\) −4.14250 4.78071i −0.318654 0.367747i
\(170\) 0.0469565 + 0.326590i 0.00360140 + 0.0250483i
\(171\) −1.34072 + 2.93576i −0.102527 + 0.224503i
\(172\) 1.13020 + 3.84911i 0.0861771 + 0.293492i
\(173\) 5.26871 + 17.9436i 0.400572 + 1.36422i 0.875082 + 0.483974i \(0.160807\pi\)
−0.474510 + 0.880250i \(0.657375\pi\)
\(174\) −4.09115 1.86836i −0.310149 0.141640i
\(175\) −8.77181 9.59782i −0.663086 0.725527i
\(176\) 1.37781 1.19388i 0.103856 0.0899920i
\(177\) −5.10418 11.1766i −0.383653 0.840084i
\(178\) −8.07783 + 5.19131i −0.605459 + 0.389105i
\(179\) 2.41746 16.8138i 0.180690 1.25672i −0.674448 0.738322i \(-0.735618\pi\)
0.855138 0.518401i \(-0.173473\pi\)
\(180\) −0.246058 0.158132i −0.0183400 0.0117864i
\(181\) 3.60708 4.16279i 0.268112 0.309418i −0.605689 0.795702i \(-0.707102\pi\)
0.873801 + 0.486284i \(0.161648\pi\)
\(182\) 2.09855 + 6.50505i 0.155555 + 0.482186i
\(183\) 9.62774i 0.711703i
\(184\) −4.12973 2.43831i −0.304447 0.179755i
\(185\) 1.34589i 0.0989520i
\(186\) −2.87984 0.845597i −0.211160 0.0620022i
\(187\) 1.55427 + 1.34678i 0.113659 + 0.0984863i
\(188\) −5.05135 + 7.86006i −0.368408 + 0.573254i
\(189\) 2.37673 1.16238i 0.172882 0.0845509i
\(190\) 0.794130 0.510356i 0.0576122 0.0370251i
\(191\) −12.6791 + 5.79033i −0.917425 + 0.418974i −0.817439 0.576015i \(-0.804607\pi\)
−0.0999856 + 0.994989i \(0.531880\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) 2.81334 + 19.5672i 0.202508 + 1.40848i 0.796807 + 0.604233i \(0.206520\pi\)
−0.594299 + 0.804244i \(0.702570\pi\)
\(194\) 3.91588 8.57458i 0.281144 0.615619i
\(195\) −0.725023 + 0.212886i −0.0519200 + 0.0152451i
\(196\) −0.628254 + 6.97175i −0.0448753 + 0.497982i
\(197\) −3.72179 + 8.14958i −0.265166 + 0.580633i −0.994643 0.103373i \(-0.967037\pi\)
0.729476 + 0.684006i \(0.239764\pi\)
\(198\) −1.80455 + 0.259455i −0.128244 + 0.0184386i
\(199\) −11.9825 13.8285i −0.849414 0.980276i 0.150551 0.988602i \(-0.451895\pi\)
−0.999965 + 0.00832588i \(0.997350\pi\)
\(200\) −2.04154 4.47034i −0.144358 0.316101i
\(201\) 7.50445 4.82282i 0.529323 0.340175i
\(202\) 15.8015 + 2.27192i 1.11179 + 0.159852i
\(203\) −11.8953 + 0.314872i −0.834888 + 0.0220997i
\(204\) −0.852538 0.738729i −0.0596896 0.0517214i
\(205\) 0.182284 0.620801i 0.0127312 0.0433586i
\(206\) −15.2002 −1.05905
\(207\) 2.15589 + 4.28394i 0.149845 + 0.297754i
\(208\) 2.58345i 0.179130i
\(209\) 1.65769 5.64557i 0.114665 0.390512i
\(210\) −0.768623 0.0898238i −0.0530400 0.00619843i
\(211\) −3.07083 1.97350i −0.211404 0.135861i 0.430654 0.902517i \(-0.358283\pi\)
−0.642058 + 0.766656i \(0.721919\pi\)
\(212\) 11.3385 + 1.63023i 0.778731 + 0.111965i
\(213\) −7.29548 11.3520i −0.499878 0.777826i
\(214\) −8.16384 + 3.72830i −0.558069 + 0.254862i
\(215\) −0.886761 + 0.768383i −0.0604766 + 0.0524033i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −7.82752 + 1.33771i −0.531366 + 0.0908100i
\(218\) −2.75012 9.36603i −0.186261 0.634348i
\(219\) −5.34329 + 1.56893i −0.361066 + 0.106019i
\(220\) 0.485051 + 0.221515i 0.0327021 + 0.0149345i
\(221\) −2.88465 + 0.414750i −0.194043 + 0.0278991i
\(222\) −3.01335 3.47759i −0.202243 0.233401i
\(223\) 10.6619 4.86912i 0.713973 0.326061i −0.0251009 0.999685i \(-0.507991\pi\)
0.739074 + 0.673624i \(0.235263\pi\)
\(224\) −1.03502 + 2.43490i −0.0691550 + 0.162689i
\(225\) −0.699399 + 4.86443i −0.0466266 + 0.324295i
\(226\) −8.79115 + 13.6793i −0.584779 + 0.909934i
\(227\) 8.76605 10.1166i 0.581823 0.671460i −0.386173 0.922427i \(-0.626203\pi\)
0.967996 + 0.250967i \(0.0807486\pi\)
\(228\) −0.909268 + 3.09668i −0.0602177 + 0.205083i
\(229\) −22.5201 −1.48817 −0.744085 0.668085i \(-0.767114\pi\)
−0.744085 + 0.668085i \(0.767114\pi\)
\(230\) 0.146952 1.39501i 0.00968970 0.0919843i
\(231\) −3.98734 + 2.71423i −0.262348 + 0.178583i
\(232\) −4.31540 1.26712i −0.283320 0.0831903i
\(233\) −5.82388 + 6.72112i −0.381535 + 0.440315i −0.913739 0.406301i \(-0.866818\pi\)
0.532204 + 0.846616i \(0.321364\pi\)
\(234\) 1.39672 2.17334i 0.0913064 0.142076i
\(235\) −2.70499 0.388919i −0.176454 0.0253703i
\(236\) −6.64282 10.3364i −0.432411 0.672844i
\(237\) 2.90583 + 6.36288i 0.188754 + 0.413313i
\(238\) −2.88494 0.764786i −0.187003 0.0495737i
\(239\) 3.45818 + 24.0521i 0.223691 + 1.55580i 0.723904 + 0.689901i \(0.242346\pi\)
−0.500213 + 0.865902i \(0.666745\pi\)
\(240\) −0.266058 0.121504i −0.0171739 0.00784308i
\(241\) −15.8570 + 4.65602i −1.02144 + 0.299921i −0.749224 0.662317i \(-0.769573\pi\)
−0.272212 + 0.962237i \(0.587755\pi\)
\(242\) −7.36535 + 2.16266i −0.473463 + 0.139021i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) 1.37017 + 9.52974i 0.0877161 + 0.610079i
\(245\) −1.93122 + 0.679947i −0.123381 + 0.0434402i
\(246\) 0.918931 + 2.01218i 0.0585889 + 0.128292i
\(247\) 4.50779 + 7.01426i 0.286824 + 0.446307i
\(248\) −2.97087 0.427146i −0.188650 0.0271238i
\(249\) −4.15168 + 6.46014i −0.263102 + 0.409395i
\(250\) 1.89901 2.19158i 0.120104 0.138607i
\(251\) 10.0717 + 2.95731i 0.635718 + 0.186664i 0.583683 0.811982i \(-0.301611\pi\)
0.0520349 + 0.998645i \(0.483429\pi\)
\(252\) 2.18712 1.48880i 0.137776 0.0937853i
\(253\) −5.00190 7.17121i −0.314467 0.450850i
\(254\) −4.57412 −0.287006
\(255\) 0.0929572 0.316583i 0.00582120 0.0198252i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 0.294668 0.458512i 0.0183809 0.0286012i −0.831942 0.554863i \(-0.812771\pi\)
0.850322 + 0.526262i \(0.176407\pi\)
\(258\) 0.570912 3.97078i 0.0355434 0.247210i
\(259\) −11.2042 4.76264i −0.696196 0.295936i
\(260\) −0.687347 + 0.313901i −0.0426274 + 0.0194673i
\(261\) 2.94529 + 3.39905i 0.182309 + 0.210396i
\(262\) −3.64721 + 0.524390i −0.225326 + 0.0323969i
\(263\) −2.57654 1.17666i −0.158876 0.0725563i 0.334390 0.942435i \(-0.391470\pi\)
−0.493266 + 0.869879i \(0.664197\pi\)
\(264\) −1.74926 + 0.513628i −0.107659 + 0.0316116i
\(265\) 0.943943 + 3.21477i 0.0579859 + 0.197482i
\(266\) 1.43844 + 8.41691i 0.0881965 + 0.516074i
\(267\) 9.50440 1.36653i 0.581660 0.0836301i
\(268\) 6.74170 5.84172i 0.411815 0.356840i
\(269\) −10.7231 + 4.89710i −0.653802 + 0.298581i −0.714563 0.699571i \(-0.753374\pi\)
0.0607612 + 0.998152i \(0.480647\pi\)
\(270\) 0.158132 + 0.246058i 0.00962358 + 0.0149746i
\(271\) −15.4690 2.22411i −0.939677 0.135105i −0.344578 0.938758i \(-0.611978\pi\)
−0.595099 + 0.803652i \(0.702887\pi\)
\(272\) −0.948993 0.609881i −0.0575411 0.0369795i
\(273\) 0.793381 6.78897i 0.0480176 0.410887i
\(274\) −0.950990 + 3.23878i −0.0574514 + 0.195662i
\(275\) 8.95955i 0.540281i
\(276\) 2.74362 + 3.93352i 0.165146 + 0.236770i
\(277\) −2.74582 −0.164980 −0.0824901 0.996592i \(-0.526287\pi\)
−0.0824901 + 0.996592i \(0.526287\pi\)
\(278\) −2.99454 + 10.1985i −0.179600 + 0.611663i
\(279\) 2.26832 + 1.96551i 0.135801 + 0.117672i
\(280\) −0.773583 + 0.0204769i −0.0462304 + 0.00122373i
\(281\) −5.94412 0.854635i −0.354596 0.0509833i −0.0372850 0.999305i \(-0.511871\pi\)
−0.317311 + 0.948321i \(0.602780\pi\)
\(282\) 7.86006 5.05135i 0.468060 0.300804i
\(283\) −10.1166 22.1523i −0.601371 1.31682i −0.928322 0.371777i \(-0.878749\pi\)
0.326951 0.945041i \(-0.393979\pi\)
\(284\) −8.83678 10.1982i −0.524367 0.605151i
\(285\) −0.934375 + 0.134343i −0.0553476 + 0.00795779i
\(286\) −1.95656 + 4.28428i −0.115694 + 0.253335i
\(287\) 4.52298 + 3.71426i 0.266983 + 0.219246i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −6.53342 + 14.3062i −0.384319 + 0.841541i
\(290\) −0.187214 1.30211i −0.0109936 0.0764623i
\(291\) −7.12402 + 6.17300i −0.417617 + 0.361867i
\(292\) −5.06562 + 2.31339i −0.296443 + 0.135381i
\(293\) 5.26488 3.38353i 0.307577 0.197668i −0.377742 0.925911i \(-0.623299\pi\)
0.685319 + 0.728243i \(0.259663\pi\)
\(294\) 3.46765 6.08074i 0.202237 0.354636i
\(295\) 1.94295 3.02329i 0.113123 0.176023i
\(296\) −3.47759 3.01335i −0.202131 0.175147i
\(297\) 1.74926 + 0.513628i 0.101502 + 0.0298037i
\(298\) 7.72365i 0.447419i
\(299\) 12.3216 + 1.29797i 0.712578 + 0.0750636i
\(300\) 4.91445i 0.283736i
\(301\) −3.25866 10.1011i −0.187826 0.582218i
\(302\) 8.11951 9.37041i 0.467225 0.539206i
\(303\) −13.4298 8.63080i −0.771522 0.495827i
\(304\) −0.459309 + 3.19456i −0.0263432 + 0.183221i
\(305\) −2.36898 + 1.52245i −0.135647 + 0.0871752i
\(306\) 0.468617 + 1.02613i 0.0267891 + 0.0586599i
\(307\) −7.15298 + 6.19809i −0.408242 + 0.353744i −0.834644 0.550790i \(-0.814326\pi\)
0.426402 + 0.904534i \(0.359781\pi\)
\(308\) −3.56048 + 3.25406i −0.202877 + 0.185417i
\(309\) 13.8266 + 6.31438i 0.786566 + 0.359213i
\(310\) −0.247328 0.842321i −0.0140473 0.0478406i
\(311\) −3.29406 11.2185i −0.186789 0.636145i −0.998633 0.0522704i \(-0.983354\pi\)
0.811844 0.583874i \(-0.198464\pi\)
\(312\) 1.07320 2.34999i 0.0607582 0.133042i
\(313\) 2.11146 + 14.6855i 0.119347 + 0.830074i 0.958278 + 0.285837i \(0.0922716\pi\)
−0.838932 + 0.544237i \(0.816819\pi\)
\(314\) 10.0241 + 11.5684i 0.565691 + 0.652842i
\(315\) 0.661850 + 0.401004i 0.0372910 + 0.0225940i
\(316\) 3.78178 + 5.88457i 0.212742 + 0.331033i
\(317\) 0.584546 4.06561i 0.0328314 0.228347i −0.966799 0.255539i \(-0.917747\pi\)
0.999630 + 0.0271913i \(0.00865631\pi\)
\(318\) −9.63664 6.19309i −0.540396 0.347291i
\(319\) −6.19682 5.36957i −0.346955 0.300638i
\(320\) −0.280641 0.0824037i −0.0156883 0.00460651i
\(321\) 8.97489 0.500929
\(322\) 11.0931 + 6.15979i 0.618195 + 0.343272i
\(323\) −3.64075 −0.202577
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 9.59518 + 8.31427i 0.532245 + 0.461193i
\(326\) 17.2155 + 11.0637i 0.953476 + 0.612762i
\(327\) −1.38920 + 9.66208i −0.0768228 + 0.534314i
\(328\) 1.19594 + 1.86092i 0.0660348 + 0.102752i
\(329\) 12.8097 21.1421i 0.706220 1.16560i
\(330\) −0.349197 0.402995i −0.0192226 0.0221841i
\(331\) −0.263251 1.83095i −0.0144696 0.100638i 0.981307 0.192450i \(-0.0616433\pi\)
−0.995776 + 0.0918117i \(0.970734\pi\)
\(332\) −3.19005 + 6.98523i −0.175077 + 0.383364i
\(333\) 1.29640 + 4.41512i 0.0710420 + 0.241947i
\(334\) 0.198559 + 0.676229i 0.0108647 + 0.0370016i
\(335\) 2.37338 + 1.08389i 0.129672 + 0.0592190i
\(336\) 1.95298 1.78490i 0.106544 0.0973744i
\(337\) 17.1364 14.8487i 0.933477 0.808863i −0.0483128 0.998832i \(-0.515384\pi\)
0.981790 + 0.189970i \(0.0608390\pi\)
\(338\) 2.62782 + 5.75413i 0.142935 + 0.312984i
\(339\) 13.6793 8.79115i 0.742958 0.477470i
\(340\) 0.0469565 0.326590i 0.00254658 0.0177118i
\(341\) −4.60325 2.95833i −0.249280 0.160203i
\(342\) 2.11351 2.43912i 0.114285 0.131892i
\(343\) 1.17353 18.4830i 0.0633649 0.997990i
\(344\) 4.01161i 0.216292i
\(345\) −0.713180 + 1.20790i −0.0383963 + 0.0650312i
\(346\) 18.7011i 1.00538i
\(347\) −16.5798 4.86828i −0.890053 0.261343i −0.195430 0.980718i \(-0.562610\pi\)
−0.694622 + 0.719375i \(0.744428\pi\)
\(348\) 3.39905 + 2.94529i 0.182208 + 0.157884i
\(349\) 2.49074 3.87566i 0.133326 0.207459i −0.768171 0.640245i \(-0.778833\pi\)
0.901497 + 0.432786i \(0.142469\pi\)
\(350\) 5.71247 + 11.6803i 0.305344 + 0.624341i
\(351\) −2.17334 + 1.39672i −0.116004 + 0.0745514i
\(352\) −1.65835 + 0.757345i −0.0883905 + 0.0403666i
\(353\) −0.868685 + 0.752720i −0.0462354 + 0.0400632i −0.677672 0.735364i \(-0.737011\pi\)
0.631437 + 0.775428i \(0.282466\pi\)
\(354\) 1.74861 + 12.1619i 0.0929377 + 0.646396i
\(355\) 1.63960 3.59022i 0.0870208 0.190549i
\(356\) 9.21318 2.70523i 0.488298 0.143377i
\(357\) 2.30653 + 1.89412i 0.122075 + 0.100248i
\(358\) −7.05654 + 15.4517i −0.372950 + 0.816646i
\(359\) −11.7732 + 1.69274i −0.621367 + 0.0893392i −0.445806 0.895129i \(-0.647083\pi\)
−0.175561 + 0.984469i \(0.556174\pi\)
\(360\) 0.191540 + 0.221049i 0.0100950 + 0.0116503i
\(361\) −3.56584 7.80810i −0.187676 0.410952i
\(362\) −4.63376 + 2.97794i −0.243545 + 0.156517i
\(363\) 7.59816 + 1.09245i 0.398800 + 0.0573388i
\(364\) −0.180865 6.83278i −0.00947992 0.358135i
\(365\) −1.23099 1.06666i −0.0644330 0.0558315i
\(366\) 2.71245 9.23774i 0.141782 0.482865i
\(367\) −19.9227 −1.03995 −0.519977 0.854180i \(-0.674060\pi\)
−0.519977 + 0.854180i \(0.674060\pi\)
\(368\) 3.27549 + 3.50302i 0.170747 + 0.182608i
\(369\) 2.21208i 0.115156i
\(370\) 0.379182 1.29137i 0.0197127 0.0671353i
\(371\) −30.1025 3.51787i −1.56284 0.182639i
\(372\) 2.52495 + 1.62269i 0.130913 + 0.0841325i
\(373\) 24.7994 + 3.56561i 1.28406 + 0.184620i 0.750348 0.661043i \(-0.229886\pi\)
0.533716 + 0.845664i \(0.320795\pi\)
\(374\) −1.11188 1.73011i −0.0574937 0.0894620i
\(375\) −2.63781 + 1.20465i −0.136216 + 0.0622078i
\(376\) 7.06117 6.11854i 0.364152 0.315540i
\(377\) 11.5010 1.65360i 0.592333 0.0851646i
\(378\) −2.60794 + 0.445694i −0.134138 + 0.0229240i
\(379\) −5.08926 17.3324i −0.261418 0.890307i −0.980688 0.195577i \(-0.937342\pi\)
0.719270 0.694730i \(-0.244476\pi\)
\(380\) −0.905746 + 0.265951i −0.0464638 + 0.0136430i
\(381\) 4.16076 + 1.90016i 0.213162 + 0.0973480i
\(382\) 13.7968 1.98368i 0.705905 0.101494i
\(383\) 11.7755 + 13.5896i 0.601698 + 0.694396i 0.972124 0.234466i \(-0.0753340\pi\)
−0.370427 + 0.928862i \(0.620789\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) −1.29838 0.551911i −0.0661717 0.0281280i
\(386\) 2.81334 19.5672i 0.143195 0.995944i
\(387\) −2.16884 + 3.37478i −0.110248 + 0.171550i
\(388\) −6.17300 + 7.12402i −0.313386 + 0.361667i
\(389\) 0.0713974 0.243157i 0.00361999 0.0123286i −0.957663 0.287891i \(-0.907046\pi\)
0.961283 + 0.275562i \(0.0888641\pi\)
\(390\) 0.755632 0.0382629
\(391\) −3.38558 + 4.21975i −0.171216 + 0.213402i
\(392\) 2.56697 6.51235i 0.129652 0.328923i
\(393\) 3.53546 + 1.03811i 0.178341 + 0.0523655i
\(394\) 5.86703 6.77091i 0.295577 0.341114i
\(395\) −1.10613 + 1.72117i −0.0556555 + 0.0866016i
\(396\) 1.80455 + 0.259455i 0.0906819 + 0.0130381i
\(397\) 18.8121 + 29.2722i 0.944152 + 1.46913i 0.882103 + 0.471056i \(0.156127\pi\)
0.0620489 + 0.998073i \(0.480237\pi\)
\(398\) 7.60115 + 16.6442i 0.381011 + 0.834298i
\(399\) 2.18806 8.25384i 0.109540 0.413209i
\(400\) 0.699399 + 4.86443i 0.0349700 + 0.243221i
\(401\) 16.7200 + 7.63578i 0.834959 + 0.381313i 0.786559 0.617515i \(-0.211861\pi\)
0.0483998 + 0.998828i \(0.484588\pi\)
\(402\) −8.55921 + 2.51321i −0.426895 + 0.125348i
\(403\) 7.43992 2.18456i 0.370609 0.108821i
\(404\) −14.5214 6.63170i −0.722466 0.329939i
\(405\) −0.0416256 0.289512i −0.00206839 0.0143860i
\(406\) 11.5022 + 3.04918i 0.570844 + 0.151328i
\(407\) −3.48493 7.63093i −0.172742 0.378251i
\(408\) 0.609881 + 0.948993i 0.0301936 + 0.0469822i
\(409\) 24.1200 + 3.46794i 1.19266 + 0.171479i 0.709918 0.704284i \(-0.248732\pi\)
0.482741 + 0.875763i \(0.339641\pi\)
\(410\) −0.349800 + 0.544299i −0.0172754 + 0.0268810i
\(411\) 2.21049 2.55104i 0.109035 0.125833i
\(412\) 14.5845 + 4.28239i 0.718525 + 0.210978i
\(413\) 18.2927 + 26.8730i 0.900127 + 1.32233i
\(414\) −0.861641 4.71779i −0.0423474 0.231867i
\(415\) −2.24608 −0.110256
\(416\) 0.727842 2.47880i 0.0356854 0.121533i
\(417\) 6.96052 8.03286i 0.340858 0.393371i
\(418\) −3.18108 + 4.94986i −0.155592 + 0.242106i
\(419\) −2.41978 + 16.8299i −0.118214 + 0.822196i 0.841307 + 0.540558i \(0.181787\pi\)
−0.959521 + 0.281638i \(0.909122\pi\)
\(420\) 0.712182 + 0.302731i 0.0347509 + 0.0147718i
\(421\) −9.49986 + 4.33844i −0.462995 + 0.211443i −0.633234 0.773960i \(-0.718273\pi\)
0.170240 + 0.985403i \(0.445546\pi\)
\(422\) 2.39044 + 2.75871i 0.116365 + 0.134292i
\(423\) −9.24817 + 1.32969i −0.449661 + 0.0646516i
\(424\) −10.4199 4.75862i −0.506036 0.231099i
\(425\) −5.31928 + 1.56188i −0.258023 + 0.0757624i
\(426\) 3.80174 + 12.9475i 0.184195 + 0.627310i
\(427\) −4.29103 25.1086i −0.207657 1.21509i
\(428\) 8.88354 1.27726i 0.429402 0.0617387i
\(429\) 3.55950 3.08433i 0.171855 0.148913i
\(430\) 1.06732 0.487429i 0.0514707 0.0235059i
\(431\) −8.44605 13.1423i −0.406832 0.633043i 0.576021 0.817435i \(-0.304605\pi\)
−0.982853 + 0.184392i \(0.940968\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) −8.37556 5.38264i −0.402504 0.258673i 0.323691 0.946163i \(-0.395076\pi\)
−0.726194 + 0.687490i \(0.758713\pi\)
\(434\) 7.88733 + 0.921739i 0.378604 + 0.0442449i
\(435\) −0.370618 + 1.26221i −0.0177698 + 0.0605183i
\(436\) 9.76144i 0.467488i
\(437\) 15.0055 + 3.79565i 0.717811 + 0.181571i
\(438\) 5.56887 0.266091
\(439\) 7.57542 25.7995i 0.361555 1.23134i −0.555141 0.831756i \(-0.687336\pi\)
0.916696 0.399586i \(-0.130846\pi\)
\(440\) −0.402995 0.349197i −0.0192120 0.0166473i
\(441\) −5.68032 + 4.09072i −0.270491 + 0.194796i
\(442\) 2.88465 + 0.414750i 0.137209 + 0.0197277i
\(443\) −13.8971 + 8.93111i −0.660270 + 0.424330i −0.827406 0.561604i \(-0.810184\pi\)
0.167136 + 0.985934i \(0.446548\pi\)
\(444\) 1.91154 + 4.18568i 0.0907175 + 0.198644i
\(445\) 1.83919 + 2.12254i 0.0871860 + 0.100618i
\(446\) −11.6018 + 1.66809i −0.549361 + 0.0789862i
\(447\) −3.20852 + 7.02568i −0.151758 + 0.332303i
\(448\) 1.67908 2.04467i 0.0793292 0.0966017i
\(449\) 10.2992 3.02412i 0.486050 0.142717i −0.0295209 0.999564i \(-0.509398\pi\)
0.515571 + 0.856847i \(0.327580\pi\)
\(450\) 2.04154 4.47034i 0.0962389 0.210734i
\(451\) 0.573934 + 3.99180i 0.0270255 + 0.187967i
\(452\) 12.2890 10.6484i 0.578024 0.500861i
\(453\) −11.2784 + 5.15066i −0.529904 + 0.241999i
\(454\) −11.2611 + 7.23709i −0.528511 + 0.339653i
\(455\) 1.79594 0.878333i 0.0841948 0.0411769i
\(456\) 1.74487 2.71507i 0.0817111 0.127145i
\(457\) −14.9037 12.9141i −0.697164 0.604096i 0.232460 0.972606i \(-0.425323\pi\)
−0.929624 + 0.368510i \(0.879868\pi\)
\(458\) 21.6079 + 6.34465i 1.00967 + 0.296466i
\(459\) 1.12807i 0.0526538i
\(460\) −0.534019 + 1.29710i −0.0248988 + 0.0604777i
\(461\) 18.4747i 0.860455i 0.902721 + 0.430227i \(0.141567\pi\)
−0.902721 + 0.430227i \(0.858433\pi\)
\(462\) 4.59052 1.48092i 0.213570 0.0688986i
\(463\) −0.760666 + 0.877855i −0.0353511 + 0.0407974i −0.773150 0.634223i \(-0.781320\pi\)
0.737799 + 0.675021i \(0.235865\pi\)
\(464\) 3.78361 + 2.43158i 0.175650 + 0.112883i
\(465\) −0.124936 + 0.868946i −0.00579375 + 0.0402964i
\(466\) 7.48153 4.80809i 0.346575 0.222730i
\(467\) −0.289863 0.634712i −0.0134133 0.0293710i 0.902807 0.430046i \(-0.141503\pi\)
−0.916220 + 0.400675i \(0.868776\pi\)
\(468\) −1.95244 + 1.69180i −0.0902517 + 0.0782035i
\(469\) −17.4217 + 15.9223i −0.804457 + 0.735224i
\(470\) 2.48585 + 1.13525i 0.114664 + 0.0523651i
\(471\) −4.31253 14.6871i −0.198711 0.676748i
\(472\) 3.46163 + 11.7892i 0.159334 + 0.542643i
\(473\) 3.03817 6.65267i 0.139695 0.305890i
\(474\) −0.995493 6.92380i −0.0457245 0.318021i
\(475\) 10.3867 + 11.9869i 0.476576 + 0.549998i
\(476\) 2.55262 + 1.54659i 0.116999 + 0.0708878i
\(477\) 6.19309 + 9.63664i 0.283562 + 0.441231i
\(478\) 3.45818 24.0521i 0.158173 1.10012i
\(479\) 19.7422 + 12.6875i 0.902043 + 0.579708i 0.907396 0.420278i \(-0.138067\pi\)
−0.00535213 + 0.999986i \(0.501704\pi\)
\(480\) 0.221049 + 0.191540i 0.0100894 + 0.00874255i
\(481\) 11.4062 + 3.34917i 0.520080 + 0.152709i
\(482\) 16.5264 0.752756
\(483\) −7.53177 10.2114i −0.342708 0.464634i
\(484\) 7.67629 0.348922
\(485\) −2.64545 0.776773i −0.120123 0.0352714i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) 33.0892 + 21.2651i 1.49942 + 0.963616i 0.994970 + 0.100172i \(0.0319394\pi\)
0.504445 + 0.863444i \(0.331697\pi\)
\(488\) 1.37017 9.52974i 0.0620247 0.431391i
\(489\) −11.0637 17.2155i −0.500318 0.778510i
\(490\) 2.04456 0.108316i 0.0923637 0.00489321i
\(491\) −2.13883 2.46834i −0.0965239 0.111395i 0.705432 0.708777i \(-0.250753\pi\)
−0.801956 + 0.597383i \(0.796207\pi\)
\(492\) −0.314812 2.18956i −0.0141928 0.0987131i
\(493\) −2.10765 + 4.61510i −0.0949236 + 0.207854i
\(494\) −2.34905 8.00012i −0.105689 0.359943i
\(495\) 0.150231 + 0.511638i 0.00675236 + 0.0229964i
\(496\) 2.73018 + 1.24683i 0.122589 + 0.0559845i
\(497\) 24.0857 + 26.3538i 1.08039 + 1.18213i
\(498\) 5.80354 5.02880i 0.260063 0.225346i
\(499\) −2.25578 4.93947i −0.100983 0.221121i 0.852397 0.522896i \(-0.175148\pi\)
−0.953379 + 0.301775i \(0.902421\pi\)
\(500\) −2.43953 + 1.56779i −0.109099 + 0.0701136i
\(501\) 0.100300 0.697604i 0.00448109 0.0311667i
\(502\) −8.83052 5.67503i −0.394125 0.253289i
\(503\) 23.9568 27.6476i 1.06818 1.23275i 0.0967782 0.995306i \(-0.469146\pi\)
0.971402 0.237440i \(-0.0763083\pi\)
\(504\) −2.51797 + 0.812307i −0.112159 + 0.0361830i
\(505\) 4.66931i 0.207781i
\(506\) 2.77893 + 8.28992i 0.123538 + 0.368532i
\(507\) 6.32578i 0.280938i
\(508\) 4.38883 + 1.28868i 0.194723 + 0.0571758i
\(509\) −5.19708 4.50329i −0.230356 0.199605i 0.532033 0.846724i \(-0.321428\pi\)
−0.762389 + 0.647119i \(0.775974\pi\)
\(510\) −0.178384 + 0.277570i −0.00789896 + 0.0122910i
\(511\) 13.2357 6.47315i 0.585514 0.286356i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −2.93576 + 1.34072i −0.129617 + 0.0591941i
\(514\) −0.411909 + 0.356921i −0.0181685 + 0.0157431i
\(515\) 0.632716 + 4.40064i 0.0278808 + 0.193915i
\(516\) −1.66648 + 3.64909i −0.0733629 + 0.160642i
\(517\) 16.3438 4.79896i 0.718798 0.211058i
\(518\) 9.40858 + 7.72632i 0.413389 + 0.339475i
\(519\) −7.76871 + 17.0111i −0.341009 + 0.746705i
\(520\) 0.747940 0.107538i 0.0327994 0.00471583i
\(521\) −13.1239 15.1458i −0.574968 0.663549i 0.391547 0.920158i \(-0.371940\pi\)
−0.966515 + 0.256610i \(0.917395\pi\)
\(522\) −1.86836 4.09115i −0.0817761 0.179065i
\(523\) −15.6106 + 10.0323i −0.682604 + 0.438683i −0.835450 0.549567i \(-0.814793\pi\)
0.152845 + 0.988250i \(0.451156\pi\)
\(524\) 3.64721 + 0.524390i 0.159329 + 0.0229081i
\(525\) −0.344057 12.9979i −0.0150159 0.567273i
\(526\) 2.14066 + 1.85490i 0.0933374 + 0.0808773i
\(527\) −0.953892 + 3.24866i −0.0415522 + 0.141514i
\(528\) 1.82310 0.0793404
\(529\) 18.3531 13.8623i 0.797962 0.602708i
\(530\) 3.35049i 0.145536i
\(531\) 3.46163 11.7892i 0.150222 0.511609i
\(532\) 0.991143 8.48122i 0.0429715 0.367707i
\(533\) −4.80759 3.08965i −0.208240 0.133828i
\(534\) −9.50440 1.36653i −0.411296 0.0591354i
\(535\) 1.41921 + 2.20834i 0.0613579 + 0.0954748i
\(536\) −8.11442 + 3.70573i −0.350490 + 0.160063i
\(537\) 12.8377 11.1239i 0.553988 0.480033i
\(538\) 11.6685 1.67767i 0.503063 0.0723295i
\(539\) 9.18904 8.85569i 0.395800 0.381441i
\(540\) −0.0824037 0.280641i −0.00354609 0.0120769i
\(541\) 3.39365 0.996466i 0.145904 0.0428414i −0.207965 0.978136i \(-0.566684\pi\)
0.353869 + 0.935295i \(0.384866\pi\)
\(542\) 14.2158 + 6.49215i 0.610622 + 0.278862i
\(543\) 5.45210 0.783893i 0.233972 0.0336401i
\(544\) 0.738729 + 0.852538i 0.0316727 + 0.0365523i
\(545\) −2.59710 + 1.18606i −0.111248 + 0.0508051i
\(546\) −2.67392 + 6.29045i −0.114433 + 0.269206i
\(547\) 3.96179 27.5548i 0.169394 1.17816i −0.710747 0.703448i \(-0.751643\pi\)
0.880141 0.474713i \(-0.157448\pi\)
\(548\) 1.82494 2.83966i 0.0779575 0.121304i
\(549\) −6.30483 + 7.27616i −0.269083 + 0.310539i
\(550\) −2.52420 + 8.59663i −0.107632 + 0.366561i
\(551\) 14.5156 0.618384
\(552\) −1.52428 4.54715i −0.0648778 0.193540i
\(553\) −10.4141 15.2989i −0.442854 0.650575i
\(554\) 2.63459 + 0.773586i 0.111933 + 0.0328665i
\(555\) −0.881372 + 1.01716i −0.0374122 + 0.0431759i
\(556\) 5.74647 8.94169i 0.243705 0.379212i
\(557\) 42.2197 + 6.07028i 1.78891 + 0.257206i 0.955402 0.295308i \(-0.0954222\pi\)
0.833504 + 0.552514i \(0.186331\pi\)
\(558\) −1.62269 2.52495i −0.0686939 0.106890i
\(559\) 4.30528 + 9.42725i 0.182094 + 0.398730i
\(560\) 0.748016 + 0.198296i 0.0316095 + 0.00837953i
\(561\) 0.292683 + 2.03566i 0.0123571 + 0.0859455i
\(562\) 5.46256 + 2.49467i 0.230424 + 0.105231i
\(563\) −13.8977 + 4.08072i −0.585717 + 0.171982i −0.561147 0.827716i \(-0.689640\pi\)
−0.0245697 + 0.999698i \(0.507822\pi\)
\(564\) −8.96480 + 2.63230i −0.377486 + 0.110840i
\(565\) 4.32626 + 1.97574i 0.182007 + 0.0831199i
\(566\) 3.46580 + 24.1052i 0.145678 + 1.01322i
\(567\) 2.55741 + 0.677960i 0.107401 + 0.0284716i
\(568\) 5.60567 + 12.2747i 0.235209 + 0.515035i
\(569\) 3.74887 + 5.83336i 0.157161 + 0.244547i 0.910900 0.412626i \(-0.135388\pi\)
−0.753740 + 0.657173i \(0.771752\pi\)
\(570\) 0.934375 + 0.134343i 0.0391367 + 0.00562700i
\(571\) −1.40076 + 2.17963i −0.0586200 + 0.0912145i −0.869326 0.494238i \(-0.835447\pi\)
0.810706 + 0.585453i \(0.199083\pi\)
\(572\) 3.08433 3.55950i 0.128962 0.148830i
\(573\) −13.3741 3.92698i −0.558709 0.164052i
\(574\) −3.29333 4.83808i −0.137461 0.201938i
\(575\) 23.5520 0.891771i 0.982186 0.0371894i
\(576\) −1.00000 −0.0416667
\(577\) 5.75426 19.5972i 0.239553 0.815842i −0.748686 0.662925i \(-0.769315\pi\)
0.988239 0.152918i \(-0.0488669\pi\)
\(578\) 10.2993 11.8860i 0.428394 0.494393i
\(579\) −10.6876 + 16.6302i −0.444162 + 0.691129i
\(580\) −0.187214 + 1.30211i −0.00777366 + 0.0540670i
\(581\) 7.94809 18.6980i 0.329742 0.775726i
\(582\) 8.57458 3.91588i 0.355428 0.162318i
\(583\) −13.6760 15.7829i −0.566402 0.653663i
\(584\) 5.51218 0.792532i 0.228096 0.0327952i
\(585\) −0.687347 0.313901i −0.0284183 0.0129782i
\(586\) −6.00486 + 1.76319i −0.248059 + 0.0728366i
\(587\) 6.75148 + 22.9934i 0.278663 + 0.949040i 0.973273 + 0.229653i \(0.0737591\pi\)
−0.694609 + 0.719387i \(0.744423\pi\)
\(588\) −5.04033 + 4.85748i −0.207860 + 0.200319i
\(589\) 9.58822 1.37858i 0.395076 0.0568033i
\(590\) −2.71601 + 2.35344i −0.111816 + 0.0968894i
\(591\) −8.14958 + 3.72179i −0.335229 + 0.153094i
\(592\) 2.48776 + 3.87104i 0.102246 + 0.159099i
\(593\) 26.1653 + 3.76201i 1.07448 + 0.154487i 0.656769 0.754092i \(-0.271923\pi\)
0.417713 + 0.908579i \(0.362832\pi\)
\(594\) −1.53369 0.985644i −0.0629282 0.0404415i
\(595\) −0.101328 + 0.867061i −0.00415402 + 0.0355460i
\(596\) −2.17600 + 7.41079i −0.0891326 + 0.303558i
\(597\) 18.2977i 0.748876i
\(598\) −11.4568 4.71680i −0.468505 0.192884i
\(599\) −12.4704 −0.509525 −0.254763 0.967004i \(-0.581997\pi\)
−0.254763 + 0.967004i \(0.581997\pi\)
\(600\) 1.38456 4.71538i 0.0565244 0.192505i
\(601\) −7.74456 6.71070i −0.315907 0.273735i 0.482445 0.875926i \(-0.339749\pi\)
−0.798352 + 0.602191i \(0.794294\pi\)
\(602\) 0.280850 + 10.6100i 0.0114466 + 0.432432i
\(603\) 8.82976 + 1.26953i 0.359575 + 0.0516991i
\(604\) −10.4306 + 6.70331i −0.424413 + 0.272754i
\(605\) 0.932703 + 2.04234i 0.0379198 + 0.0830327i
\(606\) 10.4542 + 12.0648i 0.424673 + 0.490099i
\(607\) −22.8627 + 3.28717i −0.927970 + 0.133422i −0.589696 0.807626i \(-0.700752\pi\)
−0.338274 + 0.941048i \(0.609843\pi\)
\(608\) 1.34072 2.93576i 0.0543732 0.119061i
\(609\) −9.19608 7.55182i −0.372644 0.306015i
\(610\) 2.70194 0.793361i 0.109398 0.0321223i
\(611\) −10.0272 + 21.9566i −0.405659 + 0.888269i
\(612\) −0.160541 1.11659i −0.00648949 0.0451354i
\(613\) −28.2915 + 24.5147i −1.14268 + 0.990140i −0.142682 + 0.989769i \(0.545573\pi\)
−1.00000 0.000371333i \(0.999882\pi\)
\(614\) 8.60944 3.93180i 0.347449 0.158674i
\(615\) 0.544299 0.349800i 0.0219482 0.0141053i
\(616\) 4.33303 2.11914i 0.174583 0.0853828i
\(617\) −10.3746 + 16.1431i −0.417664 + 0.649898i −0.984793 0.173731i \(-0.944418\pi\)
0.567129 + 0.823629i \(0.308054\pi\)
\(618\) −11.4875 9.95400i −0.462096 0.400409i
\(619\) 5.64355 + 1.65710i 0.226834 + 0.0666044i 0.393174 0.919464i \(-0.371377\pi\)
−0.166341 + 0.986068i \(0.553195\pi\)
\(620\) 0.877882i 0.0352566i
\(621\) −1.17607 + 4.64939i −0.0471939 + 0.186574i
\(622\) 11.6922i 0.468813i
\(623\) −24.1779 + 7.79988i −0.968666 + 0.312496i
\(624\) −1.69180 + 1.95244i −0.0677262 + 0.0781602i
\(625\) 19.9580 + 12.8262i 0.798318 + 0.513048i
\(626\) 2.11146 14.6855i 0.0843908 0.586951i
\(627\) 4.94986 3.18108i 0.197678 0.127040i
\(628\) −6.35883 13.9239i −0.253745 0.555624i
\(629\) −3.92297 + 3.39927i −0.156419 + 0.135538i
\(630\) −0.522064 0.571225i −0.0207995 0.0227582i
\(631\) −21.8518 9.97938i −0.869906 0.397273i −0.0701062 0.997540i \(-0.522334\pi\)
−0.799800 + 0.600267i \(0.795061\pi\)
\(632\) −1.97072 6.71166i −0.0783910 0.266975i
\(633\) −1.02841 3.50243i −0.0408755 0.139209i
\(634\) −1.70628 + 3.73624i −0.0677651 + 0.148385i
\(635\) 0.190400 + 1.32426i 0.00755580 + 0.0525518i
\(636\) 7.50149 + 8.65718i 0.297454 + 0.343280i
\(637\) 0.956715 + 18.0588i 0.0379064 + 0.715517i
\(638\) 4.43302 + 6.89791i 0.175505 + 0.273091i
\(639\) 1.92042 13.3568i 0.0759705 0.528386i
\(640\) 0.246058 + 0.158132i 0.00972628 + 0.00625070i
\(641\) −37.3819 32.3916i −1.47650 1.27939i −0.878364 0.477993i \(-0.841364\pi\)
−0.598132 0.801398i \(-0.704090\pi\)
\(642\) −8.61134 2.52852i −0.339863 0.0997926i
\(643\) −37.1825 −1.46634 −0.733168 0.680048i \(-0.761959\pi\)
−0.733168 + 0.680048i \(0.761959\pi\)
\(644\) −8.90834 9.03556i −0.351038 0.356051i
\(645\) −1.17335 −0.0462007
\(646\) 3.49327 + 1.02572i 0.137441 + 0.0403563i
\(647\) 22.9163 + 19.8571i 0.900933 + 0.780663i 0.976284 0.216494i \(-0.0694622\pi\)
−0.0753509 + 0.997157i \(0.524008\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −3.18790 + 22.1724i −0.125136 + 0.870341i
\(650\) −6.86411 10.6808i −0.269232 0.418934i
\(651\) −6.79166 4.11496i −0.266186 0.161278i
\(652\) −13.4011 15.4657i −0.524828 0.605683i
\(653\) 4.76595 + 33.1479i 0.186506 + 1.29718i 0.840969 + 0.541084i \(0.181986\pi\)
−0.654463 + 0.756094i \(0.727105\pi\)
\(654\) 4.05505 8.87932i 0.158565 0.347209i
\(655\) 0.303635 + 1.03408i 0.0118640 + 0.0404050i
\(656\) −0.623215 2.12247i −0.0243324 0.0828687i
\(657\) −5.06562 2.31339i −0.197629 0.0902540i
\(658\) −18.2472 + 16.6768i −0.711350 + 0.650130i
\(659\) −15.9223 + 13.7968i −0.620246 + 0.537446i −0.907309 0.420465i \(-0.861867\pi\)
0.287062 + 0.957912i \(0.407321\pi\)
\(660\) 0.221515 + 0.485051i 0.00862247 + 0.0188806i
\(661\) −7.41650 + 4.76630i −0.288468 + 0.185387i −0.676870 0.736103i \(-0.736664\pi\)
0.388401 + 0.921490i \(0.373028\pi\)
\(662\) −0.263251 + 1.83095i −0.0102315 + 0.0711619i
\(663\) −2.45168 1.57560i −0.0952152 0.0611911i
\(664\) 5.02880 5.80354i 0.195155 0.225221i
\(665\) 2.37692 0.766804i 0.0921730 0.0297354i
\(666\) 4.60151i 0.178305i
\(667\) 13.4982 16.8240i 0.522653 0.651429i
\(668\) 0.704778i 0.0272687i
\(669\) 11.2463 + 3.30222i 0.434808 + 0.127671i
\(670\) −1.97188 1.70864i −0.0761802 0.0660105i
\(671\) 9.48952 14.7660i 0.366339 0.570035i
\(672\) −2.37673 + 1.16238i −0.0916845 + 0.0448399i
\(673\) −29.7376 + 19.1112i −1.14630 + 0.736683i −0.968899 0.247456i \(-0.920405\pi\)
−0.177401 + 0.984139i \(0.556769\pi\)
\(674\) −20.6256 + 9.41939i −0.794468 + 0.362821i
\(675\) −3.71409 + 3.21828i −0.142956 + 0.123872i
\(676\) −0.900252 6.26139i −0.0346251 0.240823i
\(677\) −7.91470 + 17.3308i −0.304187 + 0.666076i −0.998566 0.0535332i \(-0.982952\pi\)
0.694379 + 0.719609i \(0.255679\pi\)
\(678\) −15.6019 + 4.58115i −0.599189 + 0.175938i
\(679\) 15.8277 19.2739i 0.607413 0.739666i
\(680\) −0.137065 + 0.300132i −0.00525622 + 0.0115095i
\(681\) 13.2499 1.90504i 0.507736 0.0730014i
\(682\) 3.58333 + 4.13538i 0.137213 + 0.158352i
\(683\) −17.9825 39.3762i −0.688081 1.50669i −0.853848 0.520522i \(-0.825737\pi\)
0.165767 0.986165i \(-0.446990\pi\)
\(684\) −2.71507 + 1.74487i −0.103813 + 0.0667168i
\(685\) 0.977250 + 0.140507i 0.0373388 + 0.00536851i
\(686\) −6.33327 + 17.4037i −0.241805 + 0.664477i
\(687\) −17.0196 14.7475i −0.649337 0.562653i
\(688\) −1.13020 + 3.84911i −0.0430885 + 0.146746i
\(689\) 29.5937 1.12743
\(690\) 1.02460 0.958046i 0.0390057 0.0364722i
\(691\) 19.2228i 0.731272i −0.930758 0.365636i \(-0.880852\pi\)
0.930758 0.365636i \(-0.119148\pi\)
\(692\) −5.26871 + 17.9436i −0.200286 + 0.682112i
\(693\) −4.79088 0.559877i −0.181990 0.0212680i
\(694\) 14.5367 + 9.34216i 0.551805 + 0.354624i
\(695\) 3.07722 + 0.442438i 0.116726 + 0.0167826i
\(696\) −2.43158 3.78361i −0.0921687 0.143417i
\(697\) 2.26988 1.03662i 0.0859778 0.0392647i
\(698\) −3.48174 + 3.01695i −0.131786 + 0.114193i
\(699\) −8.80279 + 1.26565i −0.332952 + 0.0478713i
\(700\) −2.19034 12.8166i −0.0827872 0.484422i
\(701\) 9.14124 + 31.1322i 0.345260 + 1.17585i 0.930900 + 0.365275i \(0.119025\pi\)
−0.585640 + 0.810571i \(0.699157\pi\)
\(702\) 2.47880 0.727842i 0.0935564 0.0274706i
\(703\) 13.5089 + 6.16932i 0.509499 + 0.232680i
\(704\) 1.80455 0.259455i 0.0680114 0.00977857i
\(705\) −1.78961 2.06532i −0.0674005 0.0777843i
\(706\) 1.04556 0.477493i 0.0393503 0.0179707i
\(707\) 38.8708 + 16.5230i 1.46189 + 0.621413i
\(708\) 1.74861 12.1619i 0.0657169 0.457071i
\(709\) −5.92865 + 9.22515i −0.222655 + 0.346458i −0.934552 0.355826i \(-0.884200\pi\)
0.711897 + 0.702283i \(0.247836\pi\)
\(710\) −2.58466 + 2.98286i −0.0970007 + 0.111945i
\(711\) −1.97072 + 6.71166i −0.0739078 + 0.251707i
\(712\) −9.60214 −0.359855
\(713\) 7.31839 12.3950i 0.274076 0.464197i
\(714\) −1.67947 2.46722i −0.0628524 0.0923335i
\(715\) 1.32179 + 0.388113i 0.0494322 + 0.0145146i
\(716\) 11.1239 12.8377i 0.415721 0.479767i
\(717\) −13.1373 + 20.4420i −0.490621 + 0.763421i
\(718\) 11.7732 + 1.69274i 0.439373 + 0.0631723i
\(719\) 18.6670 + 29.0464i 0.696162 + 1.08325i 0.991781 + 0.127943i \(0.0408375\pi\)
−0.295620 + 0.955306i \(0.595526\pi\)
\(720\) −0.121504 0.266058i −0.00452820 0.00991538i
\(721\) −38.8732 10.3051i −1.44771 0.383782i
\(722\) 1.22160 + 8.49643i 0.0454633 + 0.316204i
\(723\) −15.0329 6.86531i −0.559081 0.255324i
\(724\) 5.28504 1.55183i 0.196417 0.0576733i
\(725\) 21.2078 6.22718i 0.787639 0.231272i
\(726\) −6.98260 3.18885i −0.259149 0.118349i
\(727\) 0.982118 + 6.83078i 0.0364247 + 0.253340i 0.999895 0.0144749i \(-0.00460766\pi\)
−0.963470 + 0.267814i \(0.913699\pi\)
\(728\) −1.75148 + 6.60696i −0.0649140 + 0.244870i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) 0.880614 + 1.37026i 0.0325930 + 0.0507157i
\(731\) −4.47932 0.644029i −0.165674 0.0238203i
\(732\) −5.20515 + 8.09937i −0.192388 + 0.299361i
\(733\) 16.7151 19.2902i 0.617386 0.712501i −0.357823 0.933790i \(-0.616481\pi\)
0.975208 + 0.221288i \(0.0710262\pi\)
\(734\) 19.1156 + 5.61286i 0.705571 + 0.207174i
\(735\) −1.90479 0.750812i −0.0702593 0.0276941i
\(736\) −2.15589 4.28394i −0.0794673 0.157908i
\(737\) −16.2631 −0.599059
\(738\) −0.623215 + 2.12247i −0.0229409 + 0.0781294i
\(739\) −30.6602 + 35.3837i −1.12785 + 1.30161i −0.179726 + 0.983717i \(0.557521\pi\)
−0.948126 + 0.317894i \(0.897024\pi\)
\(740\) −0.727644 + 1.13224i −0.0267487 + 0.0416218i
\(741\) −1.18660 + 8.25300i −0.0435909 + 0.303182i
\(742\) 27.8920 + 11.8562i 1.02395 + 0.435256i
\(743\) 12.8539 5.87018i 0.471564 0.215356i −0.165435 0.986221i \(-0.552903\pi\)
0.636999 + 0.770865i \(0.280176\pi\)
\(744\) −1.96551 2.26832i −0.0720591 0.0831606i
\(745\) −2.23609 + 0.321501i −0.0819240 + 0.0117789i
\(746\) −22.7903 10.4080i −0.834412 0.381063i
\(747\) −7.36812 + 2.16348i −0.269585 + 0.0791574i
\(748\) 0.579408 + 1.97328i 0.0211853 + 0.0721504i
\(749\) −23.4060 + 4.00006i −0.855236 + 0.146159i
\(750\) 2.87035 0.412694i 0.104810 0.0150695i
\(751\) 7.47462 6.47679i 0.272753 0.236342i −0.507734 0.861514i \(-0.669517\pi\)
0.780487 + 0.625172i \(0.214971\pi\)
\(752\) −8.49894 + 3.88134i −0.309924 + 0.141538i
\(753\) 5.67503 + 8.83052i 0.206810 + 0.321802i
\(754\) −11.5010 1.65360i −0.418843 0.0602205i
\(755\) −3.05083 1.96065i −0.111031 0.0713552i
\(756\) 2.62787 + 0.307101i 0.0955746 + 0.0111692i
\(757\) 8.79498 29.9530i 0.319659 1.08866i −0.630318 0.776337i \(-0.717075\pi\)
0.949977 0.312321i \(-0.101107\pi\)
\(758\) 18.0642i 0.656120i
\(759\) 0.915959 8.69519i 0.0332472 0.315615i
\(760\) 0.943984 0.0342419
\(761\) 6.96007 23.7038i 0.252302 0.859263i −0.731779 0.681542i \(-0.761310\pi\)
0.984081 0.177720i \(-0.0568723\pi\)
\(762\) −3.45689 2.99541i −0.125230 0.108512i
\(763\) −0.683391 25.8173i −0.0247404 0.934649i
\(764\) −13.7968 1.98368i −0.499151 0.0717670i
\(765\) 0.277570 0.178384i 0.0100356 0.00644947i
\(766\) −7.46983 16.3567i −0.269896 0.590990i
\(767\) −20.7870 23.9895i −0.750577 0.866212i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) 5.53142 12.1121i 0.199468 0.436774i −0.783293 0.621652i \(-0.786462\pi\)
0.982761 + 0.184878i \(0.0591890\pi\)
\(770\) 1.09030 + 0.895351i 0.0392916 + 0.0322662i
\(771\) 0.522956 0.153554i 0.0188338 0.00553011i
\(772\) −8.21209 + 17.9820i −0.295560 + 0.647185i
\(773\) −2.03005 14.1193i −0.0730158 0.507836i −0.993206 0.116365i \(-0.962876\pi\)
0.920191 0.391470i \(-0