Properties

Label 588.2.x.a.55.16
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.16
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-4.29066 - 1.59553i) q^{10} +(4.48141 + 3.57380i) q^{11} +(1.93111 + 0.520405i) q^{12} +(-5.18625 - 4.13590i) q^{13} +(-3.70662 - 0.510862i) q^{14} +(2.53074 - 2.01820i) q^{15} +(3.72767 - 1.45069i) q^{16} +(-2.33574 - 0.533118i) q^{17} +(-1.01923 + 0.980396i) q^{18} +0.956950 q^{19} +(1.68452 - 6.25087i) q^{20} +(1.66063 - 2.05968i) q^{21} +(-4.44519 + 6.77867i) q^{22} +(-3.93628 + 0.898431i) q^{23} +(-0.479771 + 2.78744i) q^{24} +(-3.41533 - 4.28268i) q^{25} +(5.14435 - 7.84484i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(0.233692 - 5.28634i) q^{28} +(1.91011 - 8.36874i) q^{29} +(3.17348 + 3.29917i) q^{30} -1.40367 q^{31} +(2.53119 + 5.05896i) q^{32} +(-2.48699 - 5.16429i) q^{33} +(0.444653 - 3.35888i) q^{34} +(-6.66707 - 5.37536i) q^{35} +(-1.51407 - 1.30675i) q^{36} +(-1.60072 + 7.01321i) q^{37} +(0.125387 + 1.34751i) q^{38} +(2.87815 + 5.97655i) q^{39} +(9.02276 + 1.55299i) q^{40} +(-0.108504 + 0.225311i) q^{41} +(3.11789 + 2.06851i) q^{42} +(-2.58833 - 5.37473i) q^{43} +(-10.1277 - 5.37122i) q^{44} +(-3.15578 + 0.720286i) q^{45} +(-1.78087 - 5.42508i) q^{46} +(-0.0885251 + 0.111007i) q^{47} +(-3.98794 - 0.310349i) q^{48} +(-6.27395 - 3.10444i) q^{49} +(5.58308 - 5.37037i) q^{50} +(1.87312 + 1.49376i) q^{51} +(11.7206 + 6.21602i) q^{52} +(-0.185149 - 0.811190i) q^{53} +(1.34367 - 0.441081i) q^{54} +(-16.7165 + 8.05024i) q^{55} +(7.47448 - 0.363586i) q^{56} +(-0.862182 - 0.415205i) q^{57} +(12.0346 + 1.59315i) q^{58} +(8.03942 - 3.87158i) q^{59} +(-4.22985 + 4.90096i) q^{60} +(-4.45747 - 1.01739i) q^{61} +(-0.183919 - 1.97654i) q^{62} +(-2.38984 + 1.13519i) q^{63} +(-6.79202 + 4.22710i) q^{64} +(19.3457 - 9.31640i) q^{65} +(6.94614 - 4.17867i) q^{66} +11.0858i q^{67} +(4.78800 + 0.186024i) q^{68} +(3.93628 + 0.898431i) q^{69} +(6.69564 - 10.0924i) q^{70} +(-3.03880 + 0.693586i) q^{71} +(1.64168 - 2.30323i) q^{72} +(-11.1047 + 8.85573i) q^{73} +(-10.0853 - 1.33510i) q^{74} +(1.21892 + 5.34042i) q^{75} +(-1.88104 + 0.353122i) q^{76} +(-11.9071 + 9.39188i) q^{77} +(-8.03864 + 4.83591i) q^{78} +9.02293i q^{79} +(-1.00458 + 12.9087i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.331484 - 0.123266i) q^{82} +(10.1002 + 12.6653i) q^{83} +(-2.50421 + 4.66143i) q^{84} +(4.83521 - 6.06317i) q^{85} +(7.22918 - 4.34895i) q^{86} +(-5.35201 + 6.71121i) q^{87} +(6.23638 - 14.9649i) q^{88} +(-0.234167 + 0.186742i) q^{89} +(-1.42775 - 4.34937i) q^{90} +(13.7798 - 10.8691i) q^{91} +(7.40588 - 3.21853i) q^{92} +(1.26466 + 0.609027i) q^{93} +(-0.167911 - 0.110110i) q^{94} +(-1.34399 + 2.79083i) q^{95} +(-0.0855182 - 5.65621i) q^{96} +3.75714i q^{97} +(3.54939 - 9.24131i) q^{98} +5.73193i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.131027 + 1.40813i 0.0926504 + 0.995699i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.96566 + 0.369007i −0.982832 + 0.184504i
\(5\) −1.40445 + 2.91638i −0.628091 + 1.30424i 0.307631 + 0.951506i \(0.400464\pi\)
−0.935722 + 0.352739i \(0.885251\pi\)
\(6\) 0.492913 1.32553i 0.201231 0.541146i
\(7\) −0.602515 + 2.57623i −0.227729 + 0.973725i
\(8\) −0.777166 2.71956i −0.274770 0.961510i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −4.29066 1.59553i −1.35683 0.504551i
\(11\) 4.48141 + 3.57380i 1.35119 + 1.07754i 0.989389 + 0.145288i \(0.0464110\pi\)
0.361806 + 0.932254i \(0.382160\pi\)
\(12\) 1.93111 + 0.520405i 0.557463 + 0.150228i
\(13\) −5.18625 4.13590i −1.43841 1.14709i −0.963713 0.266942i \(-0.913987\pi\)
−0.474696 0.880150i \(-0.657442\pi\)
\(14\) −3.70662 0.510862i −0.990635 0.136534i
\(15\) 2.53074 2.01820i 0.653434 0.521096i
\(16\) 3.72767 1.45069i 0.931917 0.362672i
\(17\) −2.33574 0.533118i −0.566500 0.129300i −0.0703278 0.997524i \(-0.522405\pi\)
−0.496173 + 0.868224i \(0.665262\pi\)
\(18\) −1.01923 + 0.980396i −0.240234 + 0.231082i
\(19\) 0.956950 0.219539 0.109770 0.993957i \(-0.464989\pi\)
0.109770 + 0.993957i \(0.464989\pi\)
\(20\) 1.68452 6.25087i 0.376670 1.39774i
\(21\) 1.66063 2.05968i 0.362380 0.449460i
\(22\) −4.44519 + 6.77867i −0.947718 + 1.44522i
\(23\) −3.93628 + 0.898431i −0.820772 + 0.187336i −0.612232 0.790678i \(-0.709728\pi\)
−0.208540 + 0.978014i \(0.566871\pi\)
\(24\) −0.479771 + 2.78744i −0.0979328 + 0.568984i
\(25\) −3.41533 4.28268i −0.683065 0.856537i
\(26\) 5.14435 7.84484i 1.00889 1.53850i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 0.233692 5.28634i 0.0441636 0.999024i
\(29\) 1.91011 8.36874i 0.354699 1.55404i −0.411487 0.911416i \(-0.634990\pi\)
0.766185 0.642620i \(-0.222153\pi\)
\(30\) 3.17348 + 3.29917i 0.579396 + 0.602344i
\(31\) −1.40367 −0.252106 −0.126053 0.992024i \(-0.540231\pi\)
−0.126053 + 0.992024i \(0.540231\pi\)
\(32\) 2.53119 + 5.05896i 0.447455 + 0.894307i
\(33\) −2.48699 5.16429i −0.432930 0.898988i
\(34\) 0.444653 3.35888i 0.0762574 0.576043i
\(35\) −6.66707 5.37536i −1.12694 0.908602i
\(36\) −1.51407 1.30675i −0.252345 0.217791i
\(37\) −1.60072 + 7.01321i −0.263157 + 1.15296i 0.654649 + 0.755933i \(0.272817\pi\)
−0.917805 + 0.397031i \(0.870041\pi\)
\(38\) 0.125387 + 1.34751i 0.0203404 + 0.218595i
\(39\) 2.87815 + 5.97655i 0.460873 + 0.957014i
\(40\) 9.02276 + 1.55299i 1.42662 + 0.245549i
\(41\) −0.108504 + 0.225311i −0.0169455 + 0.0351876i −0.909270 0.416207i \(-0.863359\pi\)
0.892324 + 0.451395i \(0.149073\pi\)
\(42\) 3.11789 + 2.06851i 0.481101 + 0.319178i
\(43\) −2.58833 5.37473i −0.394717 0.819638i −0.999726 0.0234195i \(-0.992545\pi\)
0.605009 0.796219i \(-0.293170\pi\)
\(44\) −10.1277 5.37122i −1.52681 0.809742i
\(45\) −3.15578 + 0.720286i −0.470436 + 0.107374i
\(46\) −1.78087 5.42508i −0.262575 0.799885i
\(47\) −0.0885251 + 0.111007i −0.0129127 + 0.0161920i −0.788246 0.615360i \(-0.789011\pi\)
0.775333 + 0.631552i \(0.217582\pi\)
\(48\) −3.98794 0.310349i −0.575610 0.0447950i
\(49\) −6.27395 3.10444i −0.896279 0.443491i
\(50\) 5.58308 5.37037i 0.789566 0.759485i
\(51\) 1.87312 + 1.49376i 0.262289 + 0.209169i
\(52\) 11.7206 + 6.21602i 1.62536 + 0.862007i
\(53\) −0.185149 0.811190i −0.0254321 0.111425i 0.960619 0.277870i \(-0.0896285\pi\)
−0.986051 + 0.166445i \(0.946771\pi\)
\(54\) 1.34367 0.441081i 0.182850 0.0600235i
\(55\) −16.7165 + 8.05024i −2.25405 + 1.08549i
\(56\) 7.47448 0.363586i 0.998819 0.0485863i
\(57\) −0.862182 0.415205i −0.114199 0.0549952i
\(58\) 12.0346 + 1.59315i 1.58021 + 0.209191i
\(59\) 8.03942 3.87158i 1.04664 0.504037i 0.170133 0.985421i \(-0.445580\pi\)
0.876510 + 0.481384i \(0.159866\pi\)
\(60\) −4.22985 + 4.90096i −0.546071 + 0.632711i
\(61\) −4.45747 1.01739i −0.570720 0.130263i −0.0725844 0.997362i \(-0.523125\pi\)
−0.498136 + 0.867099i \(0.665982\pi\)
\(62\) −0.183919 1.97654i −0.0233577 0.251021i
\(63\) −2.38984 + 1.13519i −0.301092 + 0.143021i
\(64\) −6.79202 + 4.22710i −0.849003 + 0.528388i
\(65\) 19.3457 9.31640i 2.39954 1.15556i
\(66\) 6.94614 4.17867i 0.855010 0.514359i
\(67\) 11.0858i 1.35435i 0.735822 + 0.677175i \(0.236796\pi\)
−0.735822 + 0.677175i \(0.763204\pi\)
\(68\) 4.78800 + 0.186024i 0.580631 + 0.0225588i
\(69\) 3.93628 + 0.898431i 0.473873 + 0.108158i
\(70\) 6.69564 10.0924i 0.800282 1.20628i
\(71\) −3.03880 + 0.693586i −0.360639 + 0.0823136i −0.399001 0.916950i \(-0.630643\pi\)
0.0383621 + 0.999264i \(0.487786\pi\)
\(72\) 1.64168 2.30323i 0.193474 0.271438i
\(73\) −11.1047 + 8.85573i −1.29971 + 1.03648i −0.303207 + 0.952925i \(0.598058\pi\)
−0.996503 + 0.0835598i \(0.973371\pi\)
\(74\) −10.0853 1.33510i −1.17239 0.155202i
\(75\) 1.21892 + 5.34042i 0.140748 + 0.616658i
\(76\) −1.88104 + 0.353122i −0.215770 + 0.0405058i
\(77\) −11.9071 + 9.39188i −1.35694 + 1.07030i
\(78\) −8.03864 + 4.83591i −0.910197 + 0.547559i
\(79\) 9.02293i 1.01516i 0.861605 + 0.507579i \(0.169460\pi\)
−0.861605 + 0.507579i \(0.830540\pi\)
\(80\) −1.00458 + 12.9087i −0.112315 + 1.44324i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −0.331484 0.123266i −0.0366063 0.0136124i
\(83\) 10.1002 + 12.6653i 1.10865 + 1.39020i 0.912231 + 0.409676i \(0.134358\pi\)
0.196414 + 0.980521i \(0.437070\pi\)
\(84\) −2.50421 + 4.66143i −0.273231 + 0.508604i
\(85\) 4.83521 6.06317i 0.524453 0.657643i
\(86\) 7.22918 4.34895i 0.779542 0.468959i
\(87\) −5.35201 + 6.71121i −0.573796 + 0.719517i
\(88\) 6.23638 14.9649i 0.664800 1.59526i
\(89\) −0.234167 + 0.186742i −0.0248216 + 0.0197946i −0.635822 0.771836i \(-0.719339\pi\)
0.611000 + 0.791630i \(0.290767\pi\)
\(90\) −1.42775 4.34937i −0.150498 0.458464i
\(91\) 13.7798 10.8691i 1.44452 1.13939i
\(92\) 7.40588 3.21853i 0.772116 0.335555i
\(93\) 1.26466 + 0.609027i 0.131139 + 0.0631532i
\(94\) −0.167911 0.110110i −0.0173187 0.0113570i
\(95\) −1.34399 + 2.79083i −0.137891 + 0.286333i
\(96\) −0.0855182 5.65621i −0.00872817 0.577284i
\(97\) 3.75714i 0.381479i 0.981641 + 0.190740i \(0.0610886\pi\)
−0.981641 + 0.190740i \(0.938911\pi\)
\(98\) 3.54939 9.24131i 0.358543 0.933513i
\(99\) 5.73193i 0.576081i
\(100\) 8.29372 + 7.15803i 0.829372 + 0.715803i
\(101\) 0.00440578 0.00914869i 0.000438391 0.000910329i −0.900750 0.434339i \(-0.856982\pi\)
0.901188 + 0.433429i \(0.142696\pi\)
\(102\) −1.85798 + 2.83332i −0.183968 + 0.280540i
\(103\) −4.90496 2.36210i −0.483300 0.232745i 0.176336 0.984330i \(-0.443575\pi\)
−0.659636 + 0.751585i \(0.729290\pi\)
\(104\) −7.21725 + 17.3186i −0.707710 + 1.69823i
\(105\) 3.67454 + 7.73577i 0.358598 + 0.754933i
\(106\) 1.11800 0.367002i 0.108590 0.0356464i
\(107\) 5.98658 4.77414i 0.578745 0.461533i −0.289840 0.957075i \(-0.593602\pi\)
0.868584 + 0.495542i \(0.165031\pi\)
\(108\) 0.797157 + 1.83427i 0.0767065 + 0.176503i
\(109\) 6.63777 8.32350i 0.635783 0.797247i −0.354685 0.934986i \(-0.615412\pi\)
0.990469 + 0.137739i \(0.0439835\pi\)
\(110\) −13.5261 22.4842i −1.28966 2.14378i
\(111\) 4.48511 5.62416i 0.425708 0.533821i
\(112\) 1.49134 + 10.4774i 0.140918 + 0.990021i
\(113\) 3.21445 + 4.03080i 0.302390 + 0.379185i 0.909690 0.415287i \(-0.136319\pi\)
−0.607300 + 0.794472i \(0.707747\pi\)
\(114\) 0.471693 1.26847i 0.0441781 0.118803i
\(115\) 2.90816 12.7415i 0.271188 1.18815i
\(116\) −0.666507 + 17.1550i −0.0618837 + 1.59280i
\(117\) 6.63347i 0.613264i
\(118\) 6.50507 + 10.8133i 0.598840 + 0.995442i
\(119\) 2.78075 5.69620i 0.254911 0.522170i
\(120\) −7.45541 5.31402i −0.680583 0.485102i
\(121\) 4.86321 + 21.3071i 0.442110 + 1.93701i
\(122\) 0.848564 6.41000i 0.0768254 0.580334i
\(123\) 0.195517 0.155920i 0.0176292 0.0140588i
\(124\) 2.75913 0.517963i 0.247778 0.0465144i
\(125\) 1.50769 0.344121i 0.134852 0.0307792i
\(126\) −1.91163 3.21647i −0.170302 0.286546i
\(127\) −1.65766 0.378351i −0.147094 0.0335732i 0.148340 0.988936i \(-0.452607\pi\)
−0.295434 + 0.955363i \(0.595464\pi\)
\(128\) −6.84225 9.01019i −0.604776 0.796396i
\(129\) 5.96550i 0.525233i
\(130\) 15.6535 + 26.0206i 1.37291 + 2.28216i
\(131\) −7.89692 + 3.80296i −0.689957 + 0.332266i −0.745796 0.666174i \(-0.767931\pi\)
0.0558393 + 0.998440i \(0.482217\pi\)
\(132\) 6.79425 + 9.23355i 0.591364 + 0.803677i
\(133\) −0.576576 + 2.46533i −0.0499955 + 0.213771i
\(134\) −15.6103 + 1.45255i −1.34852 + 0.125481i
\(135\) 3.15578 + 0.720286i 0.271606 + 0.0619924i
\(136\) 0.365413 + 6.76651i 0.0313339 + 0.580223i
\(137\) −14.3307 + 6.90129i −1.22435 + 0.589617i −0.930520 0.366240i \(-0.880645\pi\)
−0.293832 + 0.955857i \(0.594931\pi\)
\(138\) −0.749347 + 5.66052i −0.0637887 + 0.481855i
\(139\) −4.66487 2.24648i −0.395669 0.190544i 0.225460 0.974252i \(-0.427611\pi\)
−0.621129 + 0.783708i \(0.713326\pi\)
\(140\) 15.0888 + 8.10596i 1.27523 + 0.685078i
\(141\) 0.127922 0.0616042i 0.0107730 0.00518801i
\(142\) −1.37483 4.18815i −0.115373 0.351462i
\(143\) −8.46083 37.0693i −0.707530 3.09989i
\(144\) 3.45836 + 2.00992i 0.288196 + 0.167493i
\(145\) 21.7237 + 17.3241i 1.80406 + 1.43869i
\(146\) −13.9250 14.4766i −1.15244 1.19809i
\(147\) 4.30567 + 5.51917i 0.355126 + 0.455213i
\(148\) 0.558550 14.3763i 0.0459125 1.18172i
\(149\) −4.07083 + 5.10466i −0.333495 + 0.418190i −0.920100 0.391684i \(-0.871893\pi\)
0.586605 + 0.809873i \(0.300464\pi\)
\(150\) −7.36029 + 2.41613i −0.600966 + 0.197276i
\(151\) −16.2080 + 3.69937i −1.31899 + 0.301051i −0.823377 0.567494i \(-0.807913\pi\)
−0.495611 + 0.868545i \(0.665056\pi\)
\(152\) −0.743709 2.60248i −0.0603228 0.211089i
\(153\) −1.03950 2.15855i −0.0840388 0.174508i
\(154\) −14.7851 15.5361i −1.19142 1.25193i
\(155\) 1.97138 4.09362i 0.158345 0.328807i
\(156\) −7.86287 10.6858i −0.629534 0.855551i
\(157\) −5.51292 11.4477i −0.439979 0.913626i −0.996563 0.0828350i \(-0.973603\pi\)
0.556584 0.830791i \(-0.312112\pi\)
\(158\) −12.7055 + 1.18225i −1.01079 + 0.0940548i
\(159\) −0.185149 + 0.811190i −0.0146832 + 0.0643315i
\(160\) −18.3088 + 0.276817i −1.44744 + 0.0218843i
\(161\) 0.0571006 10.6821i 0.00450016 0.841867i
\(162\) −1.40198 0.185596i −0.110150 0.0145818i
\(163\) 1.63950 + 3.40446i 0.128416 + 0.266658i 0.955257 0.295778i \(-0.0955788\pi\)
−0.826841 + 0.562435i \(0.809864\pi\)
\(164\) 0.130141 0.482924i 0.0101623 0.0377100i
\(165\) 18.5539 1.44442
\(166\) −16.5110 + 15.8820i −1.28150 + 1.23268i
\(167\) 0.418121 1.83191i 0.0323552 0.141757i −0.956170 0.292811i \(-0.905409\pi\)
0.988526 + 0.151053i \(0.0482666\pi\)
\(168\) −6.89203 2.91547i −0.531731 0.224934i
\(169\) 6.89879 + 30.2256i 0.530677 + 2.32505i
\(170\) 9.17127 + 6.01417i 0.703405 + 0.461266i
\(171\) 0.596649 + 0.748174i 0.0456269 + 0.0572143i
\(172\) 7.07111 + 9.60979i 0.539167 + 0.732740i
\(173\) −10.1428 + 2.31503i −0.771143 + 0.176008i −0.589950 0.807439i \(-0.700853\pi\)
−0.181192 + 0.983448i \(0.557996\pi\)
\(174\) −10.1515 6.65698i −0.769584 0.504664i
\(175\) 13.0910 6.21829i 0.989584 0.470059i
\(176\) 21.8897 + 6.82082i 1.65000 + 0.514139i
\(177\) −8.92308 −0.670700
\(178\) −0.293639 0.305269i −0.0220092 0.0228809i
\(179\) 5.22807 + 1.19327i 0.390764 + 0.0891893i 0.413389 0.910555i \(-0.364345\pi\)
−0.0226246 + 0.999744i \(0.507202\pi\)
\(180\) 5.93741 2.58035i 0.442548 0.192328i
\(181\) −8.75034 + 6.97816i −0.650408 + 0.518683i −0.892197 0.451646i \(-0.850837\pi\)
0.241790 + 0.970329i \(0.422266\pi\)
\(182\) 17.1106 + 17.9797i 1.26832 + 1.33274i
\(183\) 3.57461 + 2.85066i 0.264243 + 0.210727i
\(184\) 5.50248 + 10.0067i 0.405649 + 0.737706i
\(185\) −18.2050 14.5180i −1.33846 1.06739i
\(186\) −0.691885 + 1.86060i −0.0507315 + 0.136426i
\(187\) −8.56215 10.7366i −0.626126 0.785137i
\(188\) 0.133048 0.250869i 0.00970353 0.0182965i
\(189\) 2.64571 + 0.0141425i 0.192447 + 0.00102872i
\(190\) −4.10595 1.52684i −0.297877 0.110769i
\(191\) −11.1619 + 23.1779i −0.807645 + 1.67709i −0.0742981 + 0.997236i \(0.523672\pi\)
−0.733346 + 0.679855i \(0.762043\pi\)
\(192\) 7.95347 0.861539i 0.573993 0.0621762i
\(193\) −16.3554 7.87634i −1.17729 0.566951i −0.260167 0.965564i \(-0.583778\pi\)
−0.917120 + 0.398612i \(0.869492\pi\)
\(194\) −5.29054 + 0.492288i −0.379838 + 0.0353442i
\(195\) −21.4721 −1.53765
\(196\) 13.4780 + 3.78714i 0.962717 + 0.270510i
\(197\) 12.8436 0.915070 0.457535 0.889192i \(-0.348733\pi\)
0.457535 + 0.889192i \(0.348733\pi\)
\(198\) −8.07131 + 0.751040i −0.573603 + 0.0533741i
\(199\) −10.9068 5.25242i −0.773159 0.372334i 0.00533491 0.999986i \(-0.498302\pi\)
−0.778494 + 0.627652i \(0.784016\pi\)
\(200\) −8.99274 + 12.6165i −0.635883 + 0.892124i
\(201\) 4.80996 9.98799i 0.339269 0.704499i
\(202\) 0.0134598 + 0.00500518i 0.000947030 + 0.000352163i
\(203\) 20.4090 + 9.96317i 1.43243 + 0.699278i
\(204\) −4.23313 2.24504i −0.296378 0.157184i
\(205\) −0.504703 0.632877i −0.0352500 0.0442021i
\(206\) 2.68347 7.21632i 0.186966 0.502785i
\(207\) −3.15665 2.51735i −0.219403 0.174968i
\(208\) −25.3325 7.89362i −1.75650 0.547324i
\(209\) 4.28848 + 3.41995i 0.296640 + 0.236563i
\(210\) −10.4115 + 6.18783i −0.718462 + 0.427001i
\(211\) 18.2432 14.5485i 1.25591 1.00156i 0.256527 0.966537i \(-0.417422\pi\)
0.999387 0.0350205i \(-0.0111497\pi\)
\(212\) 0.663275 + 1.52620i 0.0455539 + 0.104820i
\(213\) 3.03880 + 0.693586i 0.208215 + 0.0475238i
\(214\) 7.50702 + 7.80434i 0.513169 + 0.533494i
\(215\) 19.3099 1.31693
\(216\) −2.47844 + 1.36284i −0.168636 + 0.0927295i
\(217\) 0.845729 3.61617i 0.0574118 0.245482i
\(218\) 12.5903 + 8.25624i 0.852723 + 0.559183i
\(219\) 13.8474 3.16057i 0.935719 0.213572i
\(220\) 29.8884 21.9926i 2.01508 1.48274i
\(221\) 9.90882 + 12.4253i 0.666540 + 0.835814i
\(222\) 8.50722 + 5.57871i 0.570967 + 0.374418i
\(223\) −0.135132 0.592050i −0.00904908 0.0396466i 0.970202 0.242298i \(-0.0779012\pi\)
−0.979251 + 0.202652i \(0.935044\pi\)
\(224\) −14.5581 + 3.47283i −0.972707 + 0.232038i
\(225\) 1.21892 5.34042i 0.0812610 0.356028i
\(226\) −5.25471 + 5.05451i −0.349538 + 0.336221i
\(227\) −2.02635 −0.134493 −0.0672467 0.997736i \(-0.521421\pi\)
−0.0672467 + 0.997736i \(0.521421\pi\)
\(228\) 1.84797 + 0.498002i 0.122385 + 0.0329810i
\(229\) −4.16878 8.65657i −0.275481 0.572042i 0.716623 0.697461i \(-0.245687\pi\)
−0.992104 + 0.125419i \(0.959973\pi\)
\(230\) 18.3227 + 2.42559i 1.20817 + 0.159939i
\(231\) 14.8029 3.29551i 0.973958 0.216829i
\(232\) −24.2438 + 1.30924i −1.59168 + 0.0859559i
\(233\) 2.41540 10.5826i 0.158238 0.693286i −0.832102 0.554623i \(-0.812862\pi\)
0.990340 0.138663i \(-0.0442805\pi\)
\(234\) 9.34079 0.869166i 0.610627 0.0568192i
\(235\) −0.199409 0.414077i −0.0130080 0.0270114i
\(236\) −14.3741 + 10.5768i −0.935677 + 0.688493i
\(237\) 3.91490 8.12938i 0.254300 0.528060i
\(238\) 8.38535 + 3.16930i 0.543541 + 0.205436i
\(239\) 0.797973 + 1.65701i 0.0516166 + 0.107183i 0.925182 0.379524i \(-0.123912\pi\)
−0.873565 + 0.486707i \(0.838198\pi\)
\(240\) 6.50598 11.1945i 0.419959 0.722601i
\(241\) 28.1963 6.43562i 1.81628 0.414554i 0.827198 0.561910i \(-0.189933\pi\)
0.989084 + 0.147356i \(0.0470762\pi\)
\(242\) −29.3660 + 9.63985i −1.88772 + 0.619673i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 9.13730 + 0.355004i 0.584956 + 0.0227268i
\(245\) 17.8652 13.9372i 1.14137 0.890414i
\(246\) 0.245174 + 0.254884i 0.0156317 + 0.0162508i
\(247\) −4.96299 3.95785i −0.315787 0.251832i
\(248\) 1.09088 + 3.81735i 0.0692710 + 0.242402i
\(249\) −3.60473 15.7934i −0.228441 1.00086i
\(250\) 0.682117 + 2.07794i 0.0431409 + 0.131421i
\(251\) −23.4801 + 11.3074i −1.48205 + 0.713718i −0.987818 0.155611i \(-0.950265\pi\)
−0.494233 + 0.869329i \(0.664551\pi\)
\(252\) 4.27873 3.11327i 0.269535 0.196118i
\(253\) −20.8509 10.0413i −1.31088 0.631289i
\(254\) 0.315568 2.38378i 0.0198005 0.149572i
\(255\) −6.98709 + 3.36480i −0.437548 + 0.210712i
\(256\) 11.7910 10.8154i 0.736938 0.675961i
\(257\) 12.7359 + 2.90689i 0.794444 + 0.181327i 0.600436 0.799673i \(-0.294994\pi\)
0.194009 + 0.981000i \(0.437851\pi\)
\(258\) −8.40020 + 0.781644i −0.522974 + 0.0486630i
\(259\) −17.1032 8.34939i −1.06274 0.518806i
\(260\) −34.5893 + 25.4516i −2.14514 + 1.57844i
\(261\) 7.73388 3.72444i 0.478715 0.230537i
\(262\) −6.38977 10.6216i −0.394761 0.656205i
\(263\) 2.66924i 0.164592i 0.996608 + 0.0822961i \(0.0262253\pi\)
−0.996608 + 0.0822961i \(0.973775\pi\)
\(264\) −12.1118 + 10.7770i −0.745430 + 0.663281i
\(265\) 2.62577 + 0.599315i 0.161300 + 0.0368156i
\(266\) −3.54705 0.488869i −0.217483 0.0299745i
\(267\) 0.292001 0.0666473i 0.0178702 0.00407875i
\(268\) −4.09076 21.7910i −0.249883 1.33110i
\(269\) 9.89199 7.88860i 0.603125 0.480976i −0.273681 0.961821i \(-0.588241\pi\)
0.876806 + 0.480844i \(0.159670\pi\)
\(270\) −0.600763 + 4.53813i −0.0365613 + 0.276182i
\(271\) 2.14999 + 9.41971i 0.130602 + 0.572207i 0.997304 + 0.0733799i \(0.0233786\pi\)
−0.866702 + 0.498827i \(0.833764\pi\)
\(272\) −9.48025 + 1.40115i −0.574825 + 0.0849571i
\(273\) −17.1311 + 3.81384i −1.03682 + 0.230824i
\(274\) −11.5956 19.2752i −0.700518 1.16446i
\(275\) 31.3981i 1.89338i
\(276\) −8.06894 0.313495i −0.485693 0.0188702i
\(277\) 3.61273 15.8284i 0.217068 0.951037i −0.742563 0.669776i \(-0.766390\pi\)
0.959631 0.281261i \(-0.0907528\pi\)
\(278\) 2.55211 6.86309i 0.153066 0.411621i
\(279\) −0.875171 1.09743i −0.0523951 0.0657014i
\(280\) −9.43720 + 22.3090i −0.563981 + 1.33322i
\(281\) 18.0935 22.6885i 1.07937 1.35348i 0.148170 0.988962i \(-0.452662\pi\)
0.931196 0.364519i \(-0.118767\pi\)
\(282\) 0.103508 + 0.172060i 0.00616382 + 0.0102460i
\(283\) 8.12843 10.1927i 0.483185 0.605895i −0.479159 0.877728i \(-0.659058\pi\)
0.962344 + 0.271833i \(0.0876298\pi\)
\(284\) 5.71732 2.48470i 0.339261 0.147440i
\(285\) 2.42179 1.93131i 0.143454 0.114401i
\(286\) 51.0898 16.7710i 3.02100 0.991692i
\(287\) −0.515078 0.415285i −0.0304041 0.0245135i
\(288\) −2.37709 + 5.13317i −0.140071 + 0.302475i
\(289\) −10.1450 4.88557i −0.596765 0.287387i
\(290\) −21.5482 + 32.8598i −1.26535 + 1.92959i
\(291\) 1.63016 3.38506i 0.0955617 0.198436i
\(292\) 18.5603 21.5051i 1.08616 1.25849i
\(293\) 23.5262i 1.37441i 0.726462 + 0.687206i \(0.241163\pi\)
−0.726462 + 0.687206i \(0.758837\pi\)
\(294\) −7.20755 + 6.78611i −0.420353 + 0.395774i
\(295\) 28.8834i 1.68166i
\(296\) 20.3169 1.09718i 1.18089 0.0637721i
\(297\) 2.48699 5.16429i 0.144310 0.299663i
\(298\) −7.72142 5.06341i −0.447290 0.293315i
\(299\) 24.1304 + 11.6206i 1.39550 + 0.672035i
\(300\) −4.36663 10.0477i −0.252108 0.580103i
\(301\) 15.4061 3.42980i 0.887991 0.197690i
\(302\) −7.33289 22.3383i −0.421960 1.28542i
\(303\) −0.00793894 + 0.00633109i −0.000456080 + 0.000363712i
\(304\) 3.56719 1.38824i 0.204592 0.0796208i
\(305\) 9.22739 11.5708i 0.528359 0.662541i
\(306\) 2.90332 1.74658i 0.165972 0.0998456i
\(307\) 0.698915 0.876411i 0.0398892 0.0500194i −0.761487 0.648180i \(-0.775530\pi\)
0.801376 + 0.598161i \(0.204102\pi\)
\(308\) 19.9396 22.8551i 1.13616 1.30229i
\(309\) 3.39434 + 4.25636i 0.193097 + 0.242136i
\(310\) 6.02266 + 2.23959i 0.342064 + 0.127200i
\(311\) −3.23345 + 14.1667i −0.183352 + 0.803318i 0.796668 + 0.604417i \(0.206594\pi\)
−0.980020 + 0.198900i \(0.936263\pi\)
\(312\) 14.0168 12.4721i 0.793544 0.706093i
\(313\) 23.7990i 1.34520i 0.740006 + 0.672601i \(0.234823\pi\)
−0.740006 + 0.672601i \(0.765177\pi\)
\(314\) 15.3975 9.26288i 0.868932 0.522735i
\(315\) 0.0457785 8.56401i 0.00257932 0.482527i
\(316\) −3.32953 17.7360i −0.187301 0.997730i
\(317\) 1.39759 + 6.12326i 0.0784967 + 0.343916i 0.998891 0.0470740i \(-0.0149897\pi\)
−0.920395 + 0.390990i \(0.872133\pi\)
\(318\) −1.16652 0.154426i −0.0654152 0.00865975i
\(319\) 38.4682 30.6774i 2.15381 1.71760i
\(320\) −2.78875 25.7449i −0.155896 1.43918i
\(321\) −7.46514 + 1.70387i −0.416664 + 0.0951008i
\(322\) 15.0493 1.31924i 0.838663 0.0735185i
\(323\) −2.23519 0.510167i −0.124369 0.0283864i
\(324\) 0.0776457 1.99849i 0.00431365 0.111027i
\(325\) 36.3365i 2.01559i
\(326\) −4.57910 + 2.75471i −0.253613 + 0.152569i
\(327\) −9.59186 + 4.61919i −0.530431 + 0.255442i
\(328\) 0.697072 + 0.119979i 0.0384894 + 0.00662474i
\(329\) −0.232642 0.294944i −0.0128260 0.0162608i
\(330\) 2.43107 + 26.1263i 0.133826 + 1.43821i
\(331\) −0.575043 0.131250i −0.0316072 0.00721414i 0.206688 0.978407i \(-0.433731\pi\)
−0.238295 + 0.971193i \(0.576589\pi\)
\(332\) −24.5273 21.1687i −1.34611 1.16178i
\(333\) −6.48118 + 3.12117i −0.355166 + 0.171039i
\(334\) 2.63435 + 0.348739i 0.144145 + 0.0190821i
\(335\) −32.3305 15.5695i −1.76640 0.850655i
\(336\) 3.20232 10.0869i 0.174701 0.550284i
\(337\) −20.1019 + 9.68055i −1.09502 + 0.527333i −0.892089 0.451860i \(-0.850760\pi\)
−0.202929 + 0.979193i \(0.565046\pi\)
\(338\) −41.6577 + 13.6748i −2.26588 + 0.743810i
\(339\) −1.14722 5.02632i −0.0623087 0.272992i
\(340\) −7.26705 + 13.7024i −0.394111 + 0.743116i
\(341\) −6.29039 5.01642i −0.340644 0.271654i
\(342\) −0.975349 + 0.938190i −0.0527408 + 0.0507315i
\(343\) 11.7779 14.2927i 0.635947 0.771733i
\(344\) −12.6053 + 11.2162i −0.679634 + 0.604736i
\(345\) −8.14849 + 10.2179i −0.438700 + 0.550113i
\(346\) −4.58885 13.9791i −0.246698 0.751519i
\(347\) 20.4736 4.67295i 1.09908 0.250857i 0.365737 0.930718i \(-0.380817\pi\)
0.733341 + 0.679861i \(0.237960\pi\)
\(348\) 8.04376 15.1669i 0.431191 0.813032i
\(349\) 9.88809 + 20.5328i 0.529297 + 1.09910i 0.978610 + 0.205723i \(0.0659545\pi\)
−0.449313 + 0.893374i \(0.648331\pi\)
\(350\) 10.4714 + 17.6190i 0.559722 + 0.941777i
\(351\) −2.87815 + 5.97655i −0.153624 + 0.319005i
\(352\) −6.73646 + 31.7172i −0.359054 + 1.69053i
\(353\) 14.0687 + 29.2140i 0.748803 + 1.55491i 0.829716 + 0.558185i \(0.188502\pi\)
−0.0809129 + 0.996721i \(0.525784\pi\)
\(354\) −1.16917 12.5649i −0.0621406 0.667815i
\(355\) 2.24509 9.83640i 0.119157 0.522062i
\(356\) 0.391384 0.453480i 0.0207433 0.0240344i
\(357\) −4.97686 + 3.92558i −0.263403 + 0.207764i
\(358\) −0.995263 + 7.51815i −0.0526013 + 0.397347i
\(359\) 15.2957 + 31.7618i 0.807275 + 1.67632i 0.734137 + 0.679001i \(0.237587\pi\)
0.0731374 + 0.997322i \(0.476699\pi\)
\(360\) 4.41143 + 8.02255i 0.232503 + 0.422826i
\(361\) −18.0842 −0.951802
\(362\) −10.9727 11.4073i −0.576712 0.599554i
\(363\) 4.86321 21.3071i 0.255252 1.11833i
\(364\) −23.0758 + 26.4498i −1.20950 + 1.38634i
\(365\) −10.2306 44.8231i −0.535493 2.34615i
\(366\) −3.54572 + 5.40703i −0.185338 + 0.282630i
\(367\) 7.66889 + 9.61649i 0.400313 + 0.501977i 0.940606 0.339500i \(-0.110258\pi\)
−0.540293 + 0.841477i \(0.681687\pi\)
\(368\) −13.3698 + 9.05937i −0.696949 + 0.472252i
\(369\) −0.243806 + 0.0556472i −0.0126920 + 0.00289688i
\(370\) 18.0579 27.5373i 0.938787 1.43160i
\(371\) 2.20137 + 0.0117673i 0.114289 + 0.000610928i
\(372\) −2.71063 0.730475i −0.140540 0.0378734i
\(373\) 10.4491 0.541033 0.270516 0.962715i \(-0.412806\pi\)
0.270516 + 0.962715i \(0.412806\pi\)
\(374\) 13.9966 13.4634i 0.723749 0.696176i
\(375\) −1.50769 0.344121i −0.0778570 0.0177704i
\(376\) 0.370689 + 0.154478i 0.0191168 + 0.00796662i
\(377\) −44.5186 + 35.5024i −2.29282 + 1.82847i
\(378\) 0.326746 + 3.72736i 0.0168060 + 0.191715i
\(379\) −16.6347 13.2657i −0.854467 0.681415i 0.0949328 0.995484i \(-0.469736\pi\)
−0.949400 + 0.314069i \(0.898308\pi\)
\(380\) 1.61200 5.98177i 0.0826939 0.306858i
\(381\) 1.32934 + 1.06012i 0.0681043 + 0.0543114i
\(382\) −34.1000 12.6804i −1.74471 0.648788i
\(383\) 3.12417 + 3.91758i 0.159638 + 0.200179i 0.855217 0.518270i \(-0.173424\pi\)
−0.695580 + 0.718449i \(0.744852\pi\)
\(384\) 2.25528 + 11.0866i 0.115089 + 0.565763i
\(385\) −10.6674 47.9160i −0.543659 2.44202i
\(386\) 8.94791 24.0625i 0.455437 1.22475i
\(387\) 2.58833 5.37473i 0.131572 0.273213i
\(388\) −1.38641 7.38526i −0.0703843 0.374930i
\(389\) 3.61028 + 1.73862i 0.183048 + 0.0881515i 0.523163 0.852232i \(-0.324752\pi\)
−0.340115 + 0.940384i \(0.610466\pi\)
\(390\) −2.81344 30.2355i −0.142464 1.53104i
\(391\) 9.67310 0.489190
\(392\) −3.56680 + 19.4751i −0.180151 + 0.983639i
\(393\) 8.76492 0.442132
\(394\) 1.68287 + 18.0855i 0.0847815 + 0.911134i
\(395\) −26.3143 12.6723i −1.32401 0.637612i
\(396\) −2.11513 11.2671i −0.106289 0.566191i
\(397\) 14.3577 29.8140i 0.720591 1.49632i −0.141700 0.989910i \(-0.545257\pi\)
0.862291 0.506413i \(-0.169029\pi\)
\(398\) 5.96700 16.0463i 0.299099 0.804330i
\(399\) 1.58914 1.97101i 0.0795566 0.0986742i
\(400\) −18.9440 11.0098i −0.947202 0.550492i
\(401\) −7.57936 9.50421i −0.378495 0.474618i 0.555699 0.831384i \(-0.312451\pi\)
−0.934194 + 0.356766i \(0.883879\pi\)
\(402\) 14.6946 + 5.46436i 0.732902 + 0.272537i
\(403\) 7.27976 + 5.80542i 0.362631 + 0.289188i
\(404\) −0.00528434 + 0.0196090i −0.000262906 + 0.000975585i
\(405\) −2.53074 2.01820i −0.125753 0.100285i
\(406\) −11.3553 + 30.0439i −0.563555 + 1.49105i
\(407\) −32.2373 + 25.7084i −1.59794 + 1.27432i
\(408\) 2.60665 6.25496i 0.129049 0.309667i
\(409\) −22.7780 5.19894i −1.12630 0.257071i −0.381508 0.924366i \(-0.624595\pi\)
−0.744794 + 0.667295i \(0.767452\pi\)
\(410\) 0.825044 0.793612i 0.0407460 0.0391937i
\(411\) 15.9059 0.784578
\(412\) 10.5131 + 2.83314i 0.517945 + 0.139579i
\(413\) 5.13022 + 23.0441i 0.252442 + 1.13393i
\(414\) 3.13115 4.77482i 0.153887 0.234670i
\(415\) −51.1221 + 11.6683i −2.50949 + 0.572774i
\(416\) 7.79599 36.7058i 0.382230 1.79965i
\(417\) 3.22819 + 4.04802i 0.158085 + 0.198232i
\(418\) −4.25383 + 6.48685i −0.208062 + 0.317282i
\(419\) 1.49466 + 6.54852i 0.0730188 + 0.319916i 0.998225 0.0595473i \(-0.0189657\pi\)
−0.925207 + 0.379464i \(0.876109\pi\)
\(420\) −10.0775 13.8500i −0.491730 0.675810i
\(421\) −2.10545 + 9.22460i −0.102614 + 0.449579i 0.897352 + 0.441315i \(0.145488\pi\)
−0.999966 + 0.00826447i \(0.997369\pi\)
\(422\) 22.8765 + 23.7826i 1.11361 + 1.15772i
\(423\) −0.141983 −0.00690346
\(424\) −2.06219 + 1.13395i −0.100149 + 0.0550696i
\(425\) 5.69414 + 11.8240i 0.276206 + 0.573549i
\(426\) −0.578494 + 4.36991i −0.0280281 + 0.211723i
\(427\) 5.30672 10.8705i 0.256810 0.526059i
\(428\) −10.0059 + 11.5934i −0.483654 + 0.560390i
\(429\) −8.46083 + 37.0693i −0.408492 + 1.78972i
\(430\) 2.53013 + 27.1909i 0.122014 + 1.31126i
\(431\) 1.56913 + 3.25833i 0.0755823 + 0.156948i 0.935336 0.353761i \(-0.115097\pi\)
−0.859754 + 0.510709i \(0.829383\pi\)
\(432\) −2.24380 3.31140i −0.107955 0.159320i
\(433\) 2.60941 5.41849i 0.125400 0.260396i −0.828812 0.559528i \(-0.810983\pi\)
0.954212 + 0.299131i \(0.0966969\pi\)
\(434\) 5.20285 + 0.717079i 0.249745 + 0.0344209i
\(435\) −12.0558 25.0341i −0.578030 1.20029i
\(436\) −9.97619 + 18.8106i −0.477773 + 0.900864i
\(437\) −3.76683 + 0.859753i −0.180192 + 0.0411276i
\(438\) 6.26488 + 19.0848i 0.299348 + 0.911906i
\(439\) 5.99649 7.51937i 0.286197 0.358880i −0.617863 0.786286i \(-0.712001\pi\)
0.904060 + 0.427406i \(0.140573\pi\)
\(440\) 34.8846 + 39.2051i 1.66306 + 1.86903i
\(441\) −1.48460 6.84076i −0.0706952 0.325750i
\(442\) −16.1981 + 15.5810i −0.770464 + 0.741111i
\(443\) −16.4662 13.1314i −0.782333 0.623890i 0.148676 0.988886i \(-0.452499\pi\)
−0.931009 + 0.364996i \(0.881070\pi\)
\(444\) −6.74087 + 12.7102i −0.319908 + 0.603201i
\(445\) −0.215733 0.945188i −0.0102267 0.0448062i
\(446\) 0.815978 0.267858i 0.0386377 0.0126834i
\(447\) 5.88252 2.83287i 0.278234 0.133990i
\(448\) −6.79771 20.0447i −0.321162 0.947024i
\(449\) 27.1856 + 13.0919i 1.28297 + 0.617845i 0.946151 0.323726i \(-0.104935\pi\)
0.336817 + 0.941570i \(0.390650\pi\)
\(450\) 7.67972 + 1.01665i 0.362025 + 0.0479254i
\(451\) −1.29147 + 0.621938i −0.0608128 + 0.0292859i
\(452\) −7.80593 6.73703i −0.367160 0.316883i
\(453\) 16.2080 + 3.69937i 0.761518 + 0.173812i
\(454\) −0.265507 2.85336i −0.0124609 0.133915i
\(455\) 12.3451 + 55.4523i 0.578750 + 2.59964i
\(456\) −0.459116 + 2.66744i −0.0215001 + 0.124914i
\(457\) 29.3195 14.1195i 1.37151 0.660485i 0.404339 0.914609i \(-0.367502\pi\)
0.967171 + 0.254125i \(0.0817874\pi\)
\(458\) 11.6434 7.00444i 0.544058 0.327296i
\(459\) 2.39581i 0.111827i
\(460\) −1.01476 + 26.1186i −0.0473137 + 1.21779i
\(461\) 9.44453 + 2.15565i 0.439875 + 0.100399i 0.436722 0.899596i \(-0.356139\pi\)
0.00315306 + 0.999995i \(0.498996\pi\)
\(462\) 6.58009 + 20.4126i 0.306134 + 0.949679i
\(463\) 3.06250 0.698996i 0.142327 0.0324851i −0.150764 0.988570i \(-0.548173\pi\)
0.293091 + 0.956085i \(0.405316\pi\)
\(464\) −5.02018 33.9668i −0.233056 1.57687i
\(465\) −3.55231 + 2.83287i −0.164734 + 0.131371i
\(466\) 15.2181 + 2.01459i 0.704965 + 0.0933242i
\(467\) 4.55322 + 19.9489i 0.210698 + 0.923127i 0.964094 + 0.265560i \(0.0855570\pi\)
−0.753397 + 0.657566i \(0.771586\pi\)
\(468\) 2.44780 + 13.0392i 0.113150 + 0.602736i
\(469\) −28.5597 6.67938i −1.31876 0.308425i
\(470\) 0.556946 0.335049i 0.0256900 0.0154547i
\(471\) 12.7060i 0.585461i
\(472\) −16.7770 18.8548i −0.772222 0.867864i
\(473\) 7.60885 33.3365i 0.349855 1.53282i
\(474\) 11.9602 + 4.44752i 0.549349 + 0.204281i
\(475\) −3.26830 4.09831i −0.149960 0.188043i
\(476\) −3.36408 + 12.2229i −0.154193 + 0.560237i
\(477\) 0.518775 0.650524i 0.0237531 0.0297854i
\(478\) −2.22873 + 1.34076i −0.101940 + 0.0613251i
\(479\) −10.5250 + 13.1979i −0.480897 + 0.603026i −0.961802 0.273747i \(-0.911737\pi\)
0.480904 + 0.876773i \(0.340308\pi\)
\(480\) 16.6158 + 7.69448i 0.758402 + 0.351203i
\(481\) 37.3077 29.7519i 1.70108 1.35657i
\(482\) 12.7567 + 38.8608i 0.581050 + 1.77006i
\(483\) −4.68623 + 9.59946i −0.213231 + 0.436791i
\(484\) −17.4219 40.0881i −0.791905 1.82218i
\(485\) −10.9572 5.27672i −0.497542 0.239604i
\(486\) 1.18262 + 0.775514i 0.0536445 + 0.0351780i
\(487\) −8.63256 + 17.9257i −0.391179 + 0.812291i 0.608644 + 0.793444i \(0.291714\pi\)
−0.999822 + 0.0188475i \(0.994000\pi\)
\(488\) 0.697345 + 12.9130i 0.0315673 + 0.584545i
\(489\) 3.77866i 0.170877i
\(490\) 21.9662 + 23.3304i 0.992332 + 1.05396i
\(491\) 8.97975i 0.405251i 0.979256 + 0.202625i \(0.0649473\pi\)
−0.979256 + 0.202625i \(0.935053\pi\)
\(492\) −0.326786 + 0.378634i −0.0147326 + 0.0170701i
\(493\) −8.92304 + 18.5289i −0.401874 + 0.834499i
\(494\) 4.92288 7.50712i 0.221491 0.337761i
\(495\) −16.7165 8.05024i −0.751350 0.361831i
\(496\) −5.23240 + 2.03628i −0.234942 + 0.0914317i
\(497\) 0.0440815 8.24655i 0.00197733 0.369909i
\(498\) 21.7668 7.14530i 0.975394 0.320189i
\(499\) −7.31435 + 5.83300i −0.327435 + 0.261121i −0.773384 0.633937i \(-0.781438\pi\)
0.445949 + 0.895058i \(0.352866\pi\)
\(500\) −2.83664 + 1.23278i −0.126858 + 0.0551315i
\(501\) −1.17155 + 1.46908i −0.0523409 + 0.0656335i
\(502\) −18.9989 31.5815i −0.847961 1.40955i
\(503\) 22.1701 27.8004i 0.988516 1.23956i 0.0176732 0.999844i \(-0.494374\pi\)
0.970843 0.239716i \(-0.0770544\pi\)
\(504\) 4.94452 + 5.61709i 0.220247 + 0.250205i
\(505\) 0.0204933 + 0.0256978i 0.000911942 + 0.00114354i
\(506\) 11.4074 30.6765i 0.507119 1.36374i
\(507\) 6.89879 30.2256i 0.306386 1.34237i
\(508\) 3.39802 + 0.132020i 0.150763 + 0.00585746i
\(509\) 39.2895i 1.74148i 0.491746 + 0.870739i \(0.336359\pi\)
−0.491746 + 0.870739i \(0.663641\pi\)
\(510\) −5.65358 9.39785i −0.250345 0.416144i
\(511\) −16.1237 33.9441i −0.713268 1.50160i
\(512\) 16.7744 + 15.1862i 0.741331 + 0.671140i
\(513\) −0.212941 0.932957i −0.00940159 0.0411911i
\(514\) −2.42452 + 18.3147i −0.106941 + 0.807827i
\(515\) 13.7776 10.9873i 0.607113 0.484156i
\(516\) −2.20131 11.7262i −0.0969074 0.516216i
\(517\) −0.793434 + 0.181096i −0.0348952 + 0.00796459i
\(518\) 9.51604 25.1775i 0.418111 1.10624i
\(519\) 10.1428 + 2.31503i 0.445219 + 0.101618i
\(520\) −40.3714 45.3714i −1.77040 1.98967i
\(521\) 17.6641i 0.773879i −0.922105 0.386940i \(-0.873532\pi\)
0.922105 0.386940i \(-0.126468\pi\)
\(522\) 6.25785 + 10.4023i 0.273898 + 0.455297i
\(523\) −30.2692 + 14.5769i −1.32358 + 0.637403i −0.956213 0.292672i \(-0.905456\pi\)
−0.367369 + 0.930075i \(0.619741\pi\)
\(524\) 14.1194 10.3894i 0.616808 0.453861i
\(525\) −14.4926 0.0774693i −0.632508 0.00338104i
\(526\) −3.75863 + 0.349743i −0.163884 + 0.0152495i
\(527\) 3.27860 + 0.748319i 0.142818 + 0.0325973i
\(528\) −16.7625 15.6429i −0.729493 0.680771i
\(529\) −6.03514 + 2.90637i −0.262397 + 0.126364i
\(530\) −0.499866 + 3.77595i −0.0217128 + 0.164017i
\(531\) 8.03942 + 3.87158i 0.348881 + 0.168012i
\(532\) 0.223632 5.05876i 0.00969566 0.219325i
\(533\) 1.49459 0.719758i 0.0647380 0.0311762i
\(534\) 0.132108 + 0.402443i 0.00571688 + 0.0174154i
\(535\) 5.51532 + 24.1642i 0.238448 + 1.04471i
\(536\) 30.1486 8.61554i 1.30222 0.372135i
\(537\) −4.19258 3.34347i −0.180923 0.144282i
\(538\) 12.4043 + 12.8956i 0.534787 + 0.555968i
\(539\) −17.0215 36.3341i −0.733167 1.56502i
\(540\) −6.46899 0.251334i −0.278381 0.0108157i
\(541\) −2.99559 + 3.75635i −0.128791 + 0.161498i −0.842046 0.539406i \(-0.818649\pi\)
0.713255 + 0.700905i \(0.247220\pi\)
\(542\) −12.9825 + 4.26171i −0.557645 + 0.183056i
\(543\) 10.9115 2.49048i 0.468257 0.106877i
\(544\) −3.21517 13.1658i −0.137849 0.564481i
\(545\) 14.9520 + 31.0482i 0.640475 + 1.32996i
\(546\) −7.61503 23.6231i −0.325893 1.01098i
\(547\) −16.6899 + 34.6569i −0.713608 + 1.48182i 0.155832 + 0.987784i \(0.450194\pi\)
−0.869440 + 0.494039i \(0.835520\pi\)
\(548\) 25.6227 18.8537i 1.09455 0.805392i
\(549\) −1.98376 4.11932i −0.0846648 0.175808i
\(550\) 44.2127 4.11402i 1.88524 0.175422i
\(551\) 1.82788 8.00846i 0.0778703 0.341172i
\(552\) −0.615809 11.4032i −0.0262106 0.485352i
\(553\) −23.2452 5.43645i −0.988485 0.231181i
\(554\) 22.7618 + 3.01324i 0.967058 + 0.128020i
\(555\) 10.1030 + 20.9792i 0.428850 + 0.890516i
\(556\) 9.99853 + 2.69446i 0.424032 + 0.114270i
\(557\) −21.2655 −0.901049 −0.450525 0.892764i \(-0.648763\pi\)
−0.450525 + 0.892764i \(0.648763\pi\)
\(558\) 1.43065 1.37615i 0.0605644 0.0582570i
\(559\) −8.80559 + 38.5798i −0.372437 + 1.63175i
\(560\) −32.6506 10.3657i −1.37974 0.438032i
\(561\) 3.05579 + 13.3883i 0.129016 + 0.565255i
\(562\) 34.3191 + 22.5051i 1.44766 + 0.949322i
\(563\) 2.58881 + 3.24627i 0.109105 + 0.136814i 0.833386 0.552692i \(-0.186399\pi\)
−0.724280 + 0.689506i \(0.757828\pi\)
\(564\) −0.228720 + 0.168297i −0.00963085 + 0.00708660i
\(565\) −16.2699 + 3.71349i −0.684479 + 0.156228i
\(566\) 15.4177 + 10.1104i 0.648056 + 0.424970i
\(567\) −2.37757 1.16067i −0.0998485 0.0487437i
\(568\) 4.24790 + 7.72517i 0.178238 + 0.324141i
\(569\) −17.8837 −0.749723 −0.374862 0.927081i \(-0.622310\pi\)
−0.374862 + 0.927081i \(0.622310\pi\)
\(570\) 3.03686 + 3.15714i 0.127200 + 0.132238i
\(571\) −28.8533 6.58558i −1.20747 0.275598i −0.429017 0.903297i \(-0.641140\pi\)
−0.778456 + 0.627699i \(0.783997\pi\)
\(572\) 30.3100 + 69.7437i 1.26732 + 2.91613i
\(573\) 20.1130 16.0396i 0.840232 0.670063i
\(574\) 0.517286 0.779711i 0.0215911 0.0325445i
\(575\) 17.2914 + 13.7894i 0.721100 + 0.575058i
\(576\) −7.53964 2.67466i −0.314152 0.111444i
\(577\) 11.4032 + 9.09374i 0.474721 + 0.378577i 0.831422 0.555641i \(-0.187527\pi\)
−0.356701 + 0.934219i \(0.616099\pi\)
\(578\) 5.55025 14.9256i 0.230860 0.620824i
\(579\) 11.3183 + 14.1927i 0.470372 + 0.589827i
\(580\) −49.0943 26.0372i −2.03853 1.08113i
\(581\) −38.7143 + 18.3895i −1.60614 + 0.762927i
\(582\) 4.98020 + 1.85194i 0.206436 + 0.0767655i
\(583\) 2.06930 4.29696i 0.0857018 0.177962i
\(584\) 32.7139 + 23.3176i 1.35371 + 0.964890i
\(585\) 19.3457 + 9.31640i 0.799847 + 0.385186i
\(586\) −33.1279 + 3.08257i −1.36850 + 0.127340i
\(587\) −2.66101 −0.109831 −0.0549157 0.998491i \(-0.517489\pi\)
−0.0549157 + 0.998491i \(0.517489\pi\)
\(588\) −10.5001 9.26000i −0.433017 0.381876i
\(589\) −1.34324 −0.0553471
\(590\) −40.6717 + 3.78452i −1.67443 + 0.155806i
\(591\) −11.5717 5.57264i −0.475996 0.229228i
\(592\) 4.20704 + 28.4651i 0.172908 + 1.16991i
\(593\) −9.34988 + 19.4152i −0.383954 + 0.797288i 0.616001 + 0.787746i \(0.288752\pi\)
−0.999954 + 0.00954257i \(0.996962\pi\)
\(594\) 7.59786 + 2.82535i 0.311744 + 0.115925i
\(595\) 12.7068 + 16.1098i 0.520930 + 0.660437i
\(596\) 6.11822 11.5362i 0.250612 0.472541i
\(597\) 7.54771 + 9.46453i 0.308907 + 0.387357i
\(598\) −13.2016 + 35.5013i −0.539852 + 1.45176i
\(599\) 16.0122 + 12.7693i 0.654242 + 0.521741i 0.893413 0.449237i \(-0.148304\pi\)
−0.239170 + 0.970978i \(0.576875\pi\)
\(600\) 13.5763 7.46531i 0.554250 0.304770i
\(601\) 2.31153 + 1.84338i 0.0942891 + 0.0751930i 0.669500 0.742812i \(-0.266509\pi\)
−0.575211 + 0.818005i \(0.695080\pi\)
\(602\) 6.84822 + 21.2443i 0.279112 + 0.865855i
\(603\) −8.66726 + 6.91191i −0.352958 + 0.281475i
\(604\) 30.4944 13.2526i 1.24080 0.539240i
\(605\) −68.9698 15.7419i −2.80402 0.639999i
\(606\) −0.00995522 0.0103495i −0.000404403 0.000420420i
\(607\) 19.8271 0.804758 0.402379 0.915473i \(-0.368183\pi\)
0.402379 + 0.915473i \(0.368183\pi\)
\(608\) 2.42222 + 4.84117i 0.0982339 + 0.196336i
\(609\) −14.0650 17.8316i −0.569941 0.722574i
\(610\) 17.5022 + 11.4773i 0.708644 + 0.464702i
\(611\) 0.918227 0.209579i 0.0371475 0.00847867i
\(612\) 2.83983 + 3.85940i 0.114793 + 0.156007i
\(613\) 7.45094 + 9.34319i 0.300941 + 0.377368i 0.909192 0.416377i \(-0.136700\pi\)
−0.608251 + 0.793744i \(0.708129\pi\)
\(614\) 1.32568 + 0.869329i 0.0535000 + 0.0350833i
\(615\) 0.180126 + 0.789185i 0.00726340 + 0.0318230i
\(616\) 34.7956 + 25.0829i 1.40195 + 1.01062i
\(617\) 7.14632 31.3101i 0.287700 1.26050i −0.599973 0.800020i \(-0.704822\pi\)
0.887673 0.460475i \(-0.152321\pi\)
\(618\) −5.54876 + 5.33737i −0.223204 + 0.214700i
\(619\) 43.0410 1.72996 0.864981 0.501804i \(-0.167330\pi\)
0.864981 + 0.501804i \(0.167330\pi\)
\(620\) −2.36450 + 8.77413i −0.0949606 + 0.352378i
\(621\) 1.75181 + 3.63767i 0.0702977 + 0.145975i
\(622\) −20.3722 2.69690i −0.816850 0.108136i
\(623\) −0.340001 0.715782i −0.0136219 0.0286772i
\(624\) 19.3989 + 18.1033i 0.776578 + 0.724711i
\(625\) 4.98068 21.8218i 0.199227 0.872871i
\(626\) −33.5122 + 3.11833i −1.33942 + 0.124633i
\(627\) −2.37993 4.94197i −0.0950452 0.197363i
\(628\) 15.0608 + 20.4680i 0.600993 + 0.816763i
\(629\) 7.47773 15.5277i 0.298157 0.619129i
\(630\) 12.0652 1.05766i 0.480691 0.0421381i
\(631\) 11.1635 + 23.1813i 0.444412 + 0.922832i 0.996054 + 0.0887505i \(0.0282874\pi\)
−0.551642 + 0.834081i \(0.685998\pi\)
\(632\) 24.5384 7.01232i 0.976085 0.278935i
\(633\) −22.7489 + 5.19229i −0.904187 + 0.206375i
\(634\) −8.43922 + 2.77031i −0.335164 + 0.110023i
\(635\) 3.43153 4.30300i 0.136176 0.170759i
\(636\) 0.0646052 1.66285i 0.00256176 0.0659362i
\(637\) 19.6987 + 42.0488i 0.780490 + 1.66604i
\(638\) 48.2381 + 50.1487i 1.90977 + 1.98540i
\(639\) −2.43693 1.94339i −0.0964034 0.0768792i
\(640\) 35.8868 7.30021i 1.41855 0.288566i
\(641\) −2.07043 9.07114i −0.0817770 0.358288i 0.917439 0.397876i \(-0.130253\pi\)
−0.999216 + 0.0395878i \(0.987396\pi\)
\(642\) −3.37741 10.2886i −0.133296 0.406060i
\(643\) 10.9356 5.26631i 0.431258 0.207683i −0.205645 0.978627i \(-0.565929\pi\)
0.636903 + 0.770944i \(0.280215\pi\)
\(644\) 3.82953 + 21.0185i 0.150905 + 0.828244i
\(645\) −17.3977 8.37827i −0.685032 0.329894i
\(646\) 0.425511 3.21428i 0.0167415 0.126464i
\(647\) −13.2754 + 6.39308i −0.521908 + 0.251338i −0.676240 0.736681i \(-0.736392\pi\)
0.154332 + 0.988019i \(0.450678\pi\)
\(648\) 2.82431 0.152522i 0.110949 0.00599163i
\(649\) 49.8642 + 11.3812i 1.95734 + 0.446750i
\(650\) −51.1666 + 4.76108i −2.00692 + 0.186745i
\(651\) −2.33097 + 2.89111i −0.0913580 + 0.113311i
\(652\) −4.47898 6.08703i −0.175410 0.238387i
\(653\) 29.9334 14.4152i 1.17138 0.564109i 0.255995 0.966678i \(-0.417597\pi\)
0.915390 + 0.402569i \(0.131883\pi\)
\(654\) −7.76123 12.9013i −0.303488 0.504483i
\(655\) 28.3715i 1.10857i
\(656\) −0.0776108 + 0.997289i −0.00303019 + 0.0389376i
\(657\) −13.8474 3.16057i −0.540237 0.123306i
\(658\) 0.384838 0.366236i 0.0150025 0.0142774i
\(659\) 11.2559 2.56908i 0.438466 0.100077i 0.00241120 0.999997i \(-0.499232\pi\)
0.436055 + 0.899920i \(0.356375\pi\)
\(660\) −36.4707 + 6.84653i −1.41962 + 0.266501i
\(661\) 21.3011 16.9870i 0.828515 0.660719i −0.114517 0.993421i \(-0.536532\pi\)
0.943032 + 0.332703i \(0.107961\pi\)
\(662\) 0.109470 0.826933i 0.00425469 0.0321396i
\(663\) −3.53642 15.4941i −0.137343 0.601740i
\(664\) 26.5945 37.3113i 1.03207 1.44796i
\(665\) −6.38005 5.14395i −0.247408 0.199474i
\(666\) −5.24423 8.71739i −0.203210 0.337792i
\(667\) 34.6578i 1.34196i
\(668\) −0.145898 + 3.75520i −0.00564495 + 0.145293i
\(669\) −0.135132 + 0.592050i −0.00522449 + 0.0228900i
\(670\) 17.6878 47.5656i 0.683338 1.83762i
\(671\) −16.3398 20.4894i −0.630790 0.790986i
\(672\) 14.6232 + 3.18763i 0.564104 + 0.122966i
\(673\) −19.4403 + 24.3774i −0.749368 + 0.939678i −0.999594 0.0285095i \(-0.990924\pi\)
0.250225 + 0.968188i \(0.419495\pi\)
\(674\) −16.2654 27.0376i −0.626519 1.04145i
\(675\) −3.41533 + 4.28268i −0.131456 + 0.164841i
\(676\) −24.7142 56.8676i −0.950545 2.18722i
\(677\) 23.2490 18.5405i 0.893532 0.712568i −0.0648995 0.997892i \(-0.520673\pi\)
0.958431 + 0.285324i \(0.0921013\pi\)
\(678\) 6.92740 2.27403i 0.266045 0.0873335i
\(679\) −9.67926 2.26373i −0.371456 0.0868739i
\(680\) −20.2469 8.43757i −0.776434 0.323566i
\(681\) 1.82568 + 0.879199i 0.0699601 + 0.0336910i
\(682\) 6.23956 9.51499i 0.238925 0.364348i
\(683\) 16.4967 34.2558i 0.631230 1.31076i −0.302624 0.953110i \(-0.597863\pi\)
0.933855 0.357653i \(-0.116423\pi\)
\(684\) −1.44889 1.25049i −0.0553998 0.0478137i
\(685\) 51.4862i 1.96719i
\(686\) 21.6692 + 14.7121i 0.827334 + 0.561710i
\(687\) 9.60807i 0.366571i
\(688\) −17.4455 16.2803i −0.665103 0.620682i
\(689\) −2.39477 + 4.97279i −0.0912335 + 0.189448i
\(690\) −15.4558 10.1353i −0.588392 0.385845i
\(691\) 12.0134 + 5.78534i 0.457011 + 0.220085i 0.648203 0.761468i \(-0.275521\pi\)
−0.191192 + 0.981553i \(0.561235\pi\)
\(692\) 19.0831 8.29333i 0.725429 0.315265i
\(693\) −14.7668 3.45357i −0.560944 0.131190i
\(694\) 9.26273 + 28.2172i 0.351608 + 1.07111i
\(695\) 13.1032 10.4494i 0.497032 0.396370i
\(696\) 22.4109 + 9.33939i 0.849484 + 0.354009i
\(697\) 0.373554 0.468422i 0.0141494 0.0177428i
\(698\) −27.6173 + 16.6141i −1.04533 + 0.628852i
\(699\) −6.76780 + 8.48655i −0.255982 + 0.320991i
\(700\) −23.4378 + 17.0537i −0.885867 + 0.644571i
\(701\) 0.171706 + 0.215312i 0.00648523 + 0.00813222i 0.785064 0.619415i \(-0.212630\pi\)
−0.778578 + 0.627547i \(0.784059\pi\)
\(702\) −8.79288 3.26973i −0.331866 0.123408i
\(703\) −1.53181 + 6.71129i −0.0577732 + 0.253121i
\(704\) −45.5447 5.32999i −1.71653 0.200881i
\(705\) 0.459591i 0.0173092i
\(706\) −39.2938 + 23.6385i −1.47884 + 0.889645i
\(707\) 0.0209146 + 0.0168625i 0.000786575 + 0.000634181i
\(708\) 17.5398 3.29268i 0.659185 0.123747i
\(709\) −5.54759 24.3056i −0.208344 0.912815i −0.965669 0.259776i \(-0.916351\pi\)
0.757325 0.653038i \(-0.226506\pi\)
\(710\) 14.1451 + 1.87255i 0.530857 + 0.0702755i
\(711\) −7.05441 + 5.62570i −0.264561 + 0.210980i
\(712\) 0.689841 + 0.491701i 0.0258529 + 0.0184273i
\(713\) 5.52522 1.26110i 0.206921 0.0472284i
\(714\) −6.17983 6.49371i −0.231274 0.243021i
\(715\) 119.991 + 27.3872i 4.48741 + 1.02422i
\(716\) −10.7169 0.416376i −0.400511 0.0155607i
\(717\) 1.83914i 0.0686840i
\(718\) −42.7206 + 25.7000i −1.59432 + 0.959114i
\(719\) −24.7635 + 11.9255i −0.923521 + 0.444744i −0.834327 0.551270i \(-0.814143\pi\)
−0.0891943 + 0.996014i \(0.528429\pi\)
\(720\) −10.7188 + 7.26304i −0.399466 + 0.270678i
\(721\) 9.04064 11.2131i 0.336691 0.417598i
\(722\) −2.36953 25.4650i −0.0881848 0.947708i
\(723\) −28.1963 6.43562i −1.04863 0.239343i
\(724\) 14.6252 16.9457i 0.543542 0.629780i
\(725\) −42.3643 + 20.4016i −1.57337 + 0.757695i
\(726\) 30.6404 + 4.05622i 1.13717 + 0.150540i
\(727\) 22.9080 + 11.0319i 0.849611 + 0.409151i 0.807433 0.589959i \(-0.200856\pi\)
0.0421777 + 0.999110i \(0.486570\pi\)
\(728\) −40.2683 29.0280i −1.49244 1.07585i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 61.7762 20.2790i 2.28644 0.750560i
\(731\) 3.18031 + 13.9339i 0.117628 + 0.515362i
\(732\) −8.07839 4.28437i −0.298586 0.158355i
\(733\) −1.15274 0.919276i −0.0425773 0.0339542i 0.601970 0.798519i \(-0.294383\pi\)
−0.644547 + 0.764564i \(0.722954\pi\)
\(734\) −12.5364 + 12.0588i −0.462728 + 0.445100i
\(735\) −22.1431 + 4.80555i −0.816760 + 0.177256i
\(736\) −14.5086 17.6394i −0.534794 0.650197i
\(737\) −39.6186 + 49.6801i −1.45937 + 1.82999i
\(738\) −0.110304 0.336020i −0.00406034 0.0123691i
\(739\) −34.3144 + 7.83204i −1.26228 + 0.288106i −0.800738 0.599015i \(-0.795559\pi\)
−0.461537 + 0.887121i \(0.652702\pi\)
\(740\) 41.1422 + 21.8198i 1.51242 + 0.802111i
\(741\) 2.75425 + 5.71926i 0.101180 + 0.210102i
\(742\) 0.271870 + 3.10136i 0.00998065 + 0.113854i
\(743\) 18.1631 37.7160i 0.666339 1.38367i −0.243988 0.969778i \(-0.578456\pi\)
0.910327 0.413889i \(-0.135830\pi\)
\(744\) 0.673437 3.91263i 0.0246894 0.143444i
\(745\) −9.16982 19.0413i −0.335956 0.697621i
\(746\) 1.36912 + 14.7137i 0.0501269 + 0.538705i
\(747\) −3.60473 + 15.7934i −0.131890 + 0.577849i
\(748\) 20.7922 + 17.9450i 0.760237 + 0.656135i
\(749\) 8.69229 + 18.2993i 0.317609 + 0.668642i
\(750\) 0.287019 2.16812i 0.0104804 0.0791685i
\(751\) −17.5848 36.5153i −0.641680 1.33246i −0.927372 0.374140i \(-0.877938\pi\)
0.285692 0.958321i \(-0.407776\pi\)
\(752\) −0.168955 + 0.542219i −0.00616117 + 0.0197727i
\(753\) 26.0610 0.949714
\(754\) −55.8251 58.0362i −2.03303 2.11355i
\(755\) 11.9746 52.4643i 0.435801 1.90937i
\(756\) −5.20580 + 0.948488i −0.189333 + 0.0344962i
\(757\) −3.89517 17.0658i −0.141572 0.620269i −0.995070 0.0991726i \(-0.968380\pi\)
0.853498 0.521096i \(-0.174477\pi\)
\(758\) 16.5003 25.1620i 0.599317 0.913926i
\(759\) 14.4293 + 18.0937i 0.523749 + 0.656761i
\(760\) 8.63433 + 1.48613i 0.313200 + 0.0539076i
\(761\) 36.8167 8.40318i 1.33461 0.304615i 0.505074 0.863076i \(-0.331465\pi\)
0.829531 + 0.558461i \(0.188608\pi\)
\(762\) −1.31860 + 2.01079i −0.0477679 + 0.0728433i
\(763\) 17.4439 + 22.1155i 0.631512 + 0.800634i
\(764\) 13.3877 49.6787i 0.484349 1.79731i
\(765\) 7.75508 0.280386
\(766\) −5.10712 + 4.91255i −0.184528 + 0.177498i
\(767\) −57.7069 13.1712i −2.08368 0.475585i
\(768\) −15.3159 + 4.62839i −0.552666 + 0.167013i
\(769\) −28.8055 + 22.9717i −1.03875 + 0.828379i −0.985410 0.170197i \(-0.945560\pi\)
−0.0533445 + 0.998576i \(0.516988\pi\)
\(770\) 66.0742 21.2993i 2.38115 0.767575i
\(771\) −10.2134 8.14492i −0.367827 0.293332i
\(772\) 35.0556 <