Properties

Label 76.2.k.a.15.3
Level $76$
Weight $2$
Character 76.15
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 15.3
Character \(\chi\) \(=\) 76.15
Dual form 76.2.k.a.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.647187 + 1.25744i) q^{2} +(0.547993 + 3.10782i) q^{3} +(-1.16230 - 1.62759i) q^{4} +(1.46633 - 1.23040i) q^{5} +(-4.26255 - 1.32228i) q^{6} +(-1.58907 - 0.917452i) q^{7} +(2.79882 - 0.408157i) q^{8} +(-6.53918 + 2.38007i) q^{9} +O(q^{10})\) \(q+(-0.647187 + 1.25744i) q^{2} +(0.547993 + 3.10782i) q^{3} +(-1.16230 - 1.62759i) q^{4} +(1.46633 - 1.23040i) q^{5} +(-4.26255 - 1.32228i) q^{6} +(-1.58907 - 0.917452i) q^{7} +(2.79882 - 0.408157i) q^{8} +(-6.53918 + 2.38007i) q^{9} +(0.598159 + 2.64012i) q^{10} +(2.10674 - 1.21633i) q^{11} +(4.42134 - 4.50412i) q^{12} +(2.49843 + 0.440541i) q^{13} +(2.18207 - 1.40440i) q^{14} +(4.62741 + 3.88286i) q^{15} +(-1.29813 + 3.78350i) q^{16} +(0.818624 + 0.297955i) q^{17} +(1.23929 - 9.76296i) q^{18} +(-4.35874 - 0.0369281i) q^{19} +(-3.70691 - 0.956507i) q^{20} +(1.98048 - 5.44131i) q^{21} +(0.165999 + 3.43628i) q^{22} +(4.69241 - 5.59220i) q^{23} +(2.80221 + 8.47457i) q^{24} +(-0.231990 + 1.31568i) q^{25} +(-2.17091 + 2.85651i) q^{26} +(-6.24660 - 10.8194i) q^{27} +(0.353735 + 3.65272i) q^{28} +(-0.967934 - 2.65938i) q^{29} +(-7.87725 + 3.30574i) q^{30} +(-2.07350 + 3.59141i) q^{31} +(-3.91738 - 4.08095i) q^{32} +(4.93460 + 5.88083i) q^{33} +(-0.904462 + 0.836536i) q^{34} +(-3.45895 + 0.609906i) q^{35} +(11.4743 + 7.87679i) q^{36} -1.48548i q^{37} +(2.86736 - 5.45695i) q^{38} +8.00610i q^{39} +(3.60181 - 4.04217i) q^{40} +(-1.43355 + 0.252774i) q^{41} +(5.56037 + 6.01187i) q^{42} +(-5.26751 - 6.27757i) q^{43} +(-4.42834 - 2.01518i) q^{44} +(-6.66019 + 11.5358i) q^{45} +(3.99497 + 9.51961i) q^{46} +(0.855159 + 2.34953i) q^{47} +(-12.4698 - 1.96103i) q^{48} +(-1.81656 - 3.14638i) q^{49} +(-1.50424 - 1.14320i) q^{50} +(-0.477390 + 2.70741i) q^{51} +(-2.18690 - 4.57848i) q^{52} +(-1.18928 + 1.41733i) q^{53} +(17.6475 - 0.852512i) q^{54} +(1.59262 - 4.37567i) q^{55} +(-4.82200 - 1.91919i) q^{56} +(-2.27379 - 13.5664i) q^{57} +(3.97043 + 0.503998i) q^{58} +(6.43248 + 2.34123i) q^{59} +(0.941293 - 12.0446i) q^{60} +(-8.58916 - 7.20716i) q^{61} +(-3.17403 - 4.93161i) q^{62} +(12.5748 + 2.21728i) q^{63} +(7.66682 - 2.28472i) q^{64} +(4.20558 - 2.42810i) q^{65} +(-10.5884 + 2.39896i) q^{66} +(2.59900 - 0.945959i) q^{67} +(-0.466535 - 1.67870i) q^{68} +(19.9510 + 11.5187i) q^{69} +(1.47167 - 4.74413i) q^{70} +(-6.12140 + 5.13647i) q^{71} +(-17.3306 + 9.33040i) q^{72} +(2.02346 + 11.4756i) q^{73} +(1.86790 + 0.961383i) q^{74} -4.21603 q^{75} +(5.00605 + 7.13719i) q^{76} -4.46368 q^{77} +(-10.0672 - 5.18145i) q^{78} +(-0.908863 - 5.15442i) q^{79} +(2.75173 + 7.14509i) q^{80} +(14.2094 - 11.9231i) q^{81} +(0.609929 - 1.96619i) q^{82} +(8.19927 + 4.73385i) q^{83} +(-11.1582 + 3.10101i) q^{84} +(1.56698 - 0.570334i) q^{85} +(11.3027 - 2.56080i) q^{86} +(7.73445 - 4.46548i) q^{87} +(5.39994 - 4.26416i) q^{88} +(-6.18655 - 1.09085i) q^{89} +(-10.1951 - 15.8406i) q^{90} +(-3.56602 - 2.99225i) q^{91} +(-14.5558 - 1.13755i) q^{92} +(-12.2977 - 4.47601i) q^{93} +(-3.50784 - 0.445277i) q^{94} +(-6.43681 + 5.30885i) q^{95} +(10.5362 - 14.4108i) q^{96} +(-2.11617 + 5.81414i) q^{97} +(5.13204 - 0.247918i) q^{98} +(-10.8814 + 12.9680i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.647187 + 1.25744i −0.457631 + 0.889142i
\(3\) 0.547993 + 3.10782i 0.316384 + 1.79430i 0.564353 + 0.825534i \(0.309126\pi\)
−0.247969 + 0.968768i \(0.579763\pi\)
\(4\) −1.16230 1.62759i −0.581149 0.813797i
\(5\) 1.46633 1.23040i 0.655765 0.550252i −0.253049 0.967453i \(-0.581433\pi\)
0.908814 + 0.417201i \(0.136989\pi\)
\(6\) −4.26255 1.32228i −1.74018 0.539817i
\(7\) −1.58907 0.917452i −0.600613 0.346764i 0.168670 0.985673i \(-0.446053\pi\)
−0.769283 + 0.638909i \(0.779386\pi\)
\(8\) 2.79882 0.408157i 0.989533 0.144305i
\(9\) −6.53918 + 2.38007i −2.17973 + 0.793356i
\(10\) 0.598159 + 2.64012i 0.189154 + 0.834880i
\(11\) 2.10674 1.21633i 0.635206 0.366736i −0.147560 0.989053i \(-0.547142\pi\)
0.782765 + 0.622317i \(0.213809\pi\)
\(12\) 4.42134 4.50412i 1.27633 1.30023i
\(13\) 2.49843 + 0.440541i 0.692941 + 0.122184i 0.509017 0.860756i \(-0.330009\pi\)
0.183924 + 0.982940i \(0.441120\pi\)
\(14\) 2.18207 1.40440i 0.583182 0.375341i
\(15\) 4.62741 + 3.88286i 1.19479 + 1.00255i
\(16\) −1.29813 + 3.78350i −0.324533 + 0.945875i
\(17\) 0.818624 + 0.297955i 0.198545 + 0.0722646i 0.439379 0.898302i \(-0.355199\pi\)
−0.240833 + 0.970566i \(0.577421\pi\)
\(18\) 1.23929 9.76296i 0.292103 2.30115i
\(19\) −4.35874 0.0369281i −0.999964 0.00847188i
\(20\) −3.70691 0.956507i −0.828890 0.213882i
\(21\) 1.98048 5.44131i 0.432175 1.18739i
\(22\) 0.165999 + 3.43628i 0.0353912 + 0.732618i
\(23\) 4.69241 5.59220i 0.978436 1.16605i −0.00767613 0.999971i \(-0.502443\pi\)
0.986112 0.166084i \(-0.0531121\pi\)
\(24\) 2.80221 + 8.47457i 0.572000 + 1.72987i
\(25\) −0.231990 + 1.31568i −0.0463980 + 0.263136i
\(26\) −2.17091 + 2.85651i −0.425750 + 0.560208i
\(27\) −6.24660 10.8194i −1.20216 2.08220i
\(28\) 0.353735 + 3.65272i 0.0668497 + 0.690299i
\(29\) −0.967934 2.65938i −0.179741 0.493834i 0.816802 0.576918i \(-0.195745\pi\)
−0.996542 + 0.0830848i \(0.973523\pi\)
\(30\) −7.87725 + 3.30574i −1.43818 + 0.603543i
\(31\) −2.07350 + 3.59141i −0.372412 + 0.645036i −0.989936 0.141516i \(-0.954802\pi\)
0.617524 + 0.786552i \(0.288136\pi\)
\(32\) −3.91738 4.08095i −0.692501 0.721417i
\(33\) 4.93460 + 5.88083i 0.859004 + 1.02372i
\(34\) −0.904462 + 0.836536i −0.155114 + 0.143465i
\(35\) −3.45895 + 0.609906i −0.584669 + 0.103093i
\(36\) 11.4743 + 7.87679i 1.91238 + 1.31280i
\(37\) 1.48548i 0.244211i −0.992517 0.122106i \(-0.961035\pi\)
0.992517 0.122106i \(-0.0389646\pi\)
\(38\) 2.86736 5.45695i 0.465147 0.885234i
\(39\) 8.00610i 1.28200i
\(40\) 3.60181 4.04217i 0.569497 0.639123i
\(41\) −1.43355 + 0.252774i −0.223883 + 0.0394766i −0.284464 0.958687i \(-0.591816\pi\)
0.0605811 + 0.998163i \(0.480705\pi\)
\(42\) 5.56037 + 6.01187i 0.857984 + 0.927652i
\(43\) −5.26751 6.27757i −0.803288 0.957321i 0.196443 0.980515i \(-0.437061\pi\)
−0.999731 + 0.0231942i \(0.992616\pi\)
\(44\) −4.42834 2.01518i −0.667598 0.303801i
\(45\) −6.66019 + 11.5358i −0.992843 + 1.71965i
\(46\) 3.99497 + 9.51961i 0.589026 + 1.40359i
\(47\) 0.855159 + 2.34953i 0.124738 + 0.342714i 0.986306 0.164928i \(-0.0527393\pi\)
−0.861568 + 0.507643i \(0.830517\pi\)
\(48\) −12.4698 1.96103i −1.79986 0.283050i
\(49\) −1.81656 3.14638i −0.259509 0.449483i
\(50\) −1.50424 1.14320i −0.212732 0.161673i
\(51\) −0.477390 + 2.70741i −0.0668480 + 0.379114i
\(52\) −2.18690 4.57848i −0.303269 0.634921i
\(53\) −1.18928 + 1.41733i −0.163360 + 0.194685i −0.841515 0.540234i \(-0.818336\pi\)
0.678154 + 0.734919i \(0.262780\pi\)
\(54\) 17.6475 0.852512i 2.40152 0.116012i
\(55\) 1.59262 4.37567i 0.214748 0.590016i
\(56\) −4.82200 1.91919i −0.644367 0.256463i
\(57\) −2.27379 13.5664i −0.301171 1.79692i
\(58\) 3.97043 + 0.503998i 0.521343 + 0.0661782i
\(59\) 6.43248 + 2.34123i 0.837437 + 0.304802i 0.724907 0.688846i \(-0.241882\pi\)
0.112530 + 0.993648i \(0.464105\pi\)
\(60\) 0.941293 12.0446i 0.121520 1.55495i
\(61\) −8.58916 7.20716i −1.09973 0.922782i −0.102322 0.994751i \(-0.532627\pi\)
−0.997407 + 0.0719693i \(0.977072\pi\)
\(62\) −3.17403 4.93161i −0.403102 0.626316i
\(63\) 12.5748 + 2.21728i 1.58428 + 0.279351i
\(64\) 7.66682 2.28472i 0.958352 0.285590i
\(65\) 4.20558 2.42810i 0.521639 0.301168i
\(66\) −10.5884 + 2.39896i −1.30334 + 0.295291i
\(67\) 2.59900 0.945959i 0.317519 0.115567i −0.178344 0.983968i \(-0.557074\pi\)
0.495863 + 0.868401i \(0.334852\pi\)
\(68\) −0.466535 1.67870i −0.0565756 0.203572i
\(69\) 19.9510 + 11.5187i 2.40181 + 1.38669i
\(70\) 1.47167 4.74413i 0.175898 0.567032i
\(71\) −6.12140 + 5.13647i −0.726477 + 0.609587i −0.929169 0.369656i \(-0.879476\pi\)
0.202692 + 0.979243i \(0.435031\pi\)
\(72\) −17.3306 + 9.33040i −2.04243 + 1.09960i
\(73\) 2.02346 + 11.4756i 0.236828 + 1.34312i 0.838730 + 0.544547i \(0.183299\pi\)
−0.601902 + 0.798570i \(0.705590\pi\)
\(74\) 1.86790 + 0.961383i 0.217138 + 0.111758i
\(75\) −4.21603 −0.486825
\(76\) 5.00605 + 7.13719i 0.574233 + 0.818692i
\(77\) −4.46368 −0.508684
\(78\) −10.0672 5.18145i −1.13988 0.586684i
\(79\) −0.908863 5.15442i −0.102255 0.579918i −0.992281 0.124008i \(-0.960425\pi\)
0.890026 0.455910i \(-0.150686\pi\)
\(80\) 2.75173 + 7.14509i 0.307652 + 0.798846i
\(81\) 14.2094 11.9231i 1.57882 1.32479i
\(82\) 0.609929 1.96619i 0.0673554 0.217130i
\(83\) 8.19927 + 4.73385i 0.899987 + 0.519608i 0.877196 0.480132i \(-0.159411\pi\)
0.0227911 + 0.999740i \(0.492745\pi\)
\(84\) −11.1582 + 3.10101i −1.21745 + 0.338348i
\(85\) 1.56698 0.570334i 0.169963 0.0618614i
\(86\) 11.3027 2.56080i 1.21880 0.276138i
\(87\) 7.73445 4.46548i 0.829220 0.478750i
\(88\) 5.39994 4.26416i 0.575635 0.454561i
\(89\) −6.18655 1.09085i −0.655773 0.115630i −0.164145 0.986436i \(-0.552487\pi\)
−0.491627 + 0.870806i \(0.663598\pi\)
\(90\) −10.1951 15.8406i −1.07466 1.66974i
\(91\) −3.56602 2.99225i −0.373820 0.313673i
\(92\) −14.5558 1.13755i −1.51755 0.118598i
\(93\) −12.2977 4.47601i −1.27521 0.464140i
\(94\) −3.50784 0.445277i −0.361806 0.0459268i
\(95\) −6.43681 + 5.30885i −0.660403 + 0.544677i
\(96\) 10.5362 14.4108i 1.07534 1.47080i
\(97\) −2.11617 + 5.81414i −0.214865 + 0.590337i −0.999564 0.0295408i \(-0.990595\pi\)
0.784699 + 0.619877i \(0.212818\pi\)
\(98\) 5.13204 0.247918i 0.518414 0.0250435i
\(99\) −10.8814 + 12.9680i −1.09362 + 1.30333i
\(100\) 2.41104 1.15163i 0.241104 0.115163i
\(101\) −0.868620 + 4.92619i −0.0864309 + 0.490174i 0.910608 + 0.413272i \(0.135614\pi\)
−0.997039 + 0.0769024i \(0.975497\pi\)
\(102\) −3.09544 2.35249i −0.306495 0.232931i
\(103\) 7.63840 + 13.2301i 0.752634 + 1.30360i 0.946542 + 0.322581i \(0.104551\pi\)
−0.193907 + 0.981020i \(0.562116\pi\)
\(104\) 7.17249 + 0.213243i 0.703320 + 0.0209102i
\(105\) −3.79096 10.4156i −0.369959 1.01645i
\(106\) −1.01251 2.41272i −0.0983441 0.234344i
\(107\) −2.60064 + 4.50444i −0.251414 + 0.435461i −0.963915 0.266209i \(-0.914229\pi\)
0.712502 + 0.701670i \(0.247562\pi\)
\(108\) −10.3492 + 22.7423i −0.995857 + 2.18838i
\(109\) 0.530188 + 0.631854i 0.0507828 + 0.0605206i 0.790838 0.612026i \(-0.209645\pi\)
−0.740055 + 0.672546i \(0.765201\pi\)
\(110\) 4.47142 + 4.83449i 0.426333 + 0.460951i
\(111\) 4.61660 0.814031i 0.438188 0.0772644i
\(112\) 5.53400 4.82128i 0.522914 0.455568i
\(113\) 7.40610i 0.696707i 0.937363 + 0.348353i \(0.113259\pi\)
−0.937363 + 0.348353i \(0.886741\pi\)
\(114\) 18.5305 + 5.92087i 1.73554 + 0.554540i
\(115\) 13.9736i 1.30304i
\(116\) −3.20336 + 4.66639i −0.297424 + 0.433263i
\(117\) −17.3862 + 3.06566i −1.60736 + 0.283421i
\(118\) −7.10697 + 6.57322i −0.654249 + 0.605114i
\(119\) −1.02749 1.22452i −0.0941902 0.112252i
\(120\) 14.5361 + 8.97871i 1.32696 + 0.819641i
\(121\) −2.54110 + 4.40132i −0.231009 + 0.400120i
\(122\) 14.6213 6.13595i 1.32375 0.555522i
\(123\) −1.57115 4.31671i −0.141666 0.389224i
\(124\) 8.25539 0.799466i 0.741356 0.0717941i
\(125\) 6.06405 + 10.5032i 0.542385 + 0.939438i
\(126\) −10.9264 + 14.3771i −0.973398 + 1.28081i
\(127\) 0.543667 3.08329i 0.0482426 0.273598i −0.951139 0.308764i \(-0.900085\pi\)
0.999381 + 0.0351659i \(0.0111959\pi\)
\(128\) −2.08897 + 11.1192i −0.184641 + 0.982806i
\(129\) 16.6230 19.8105i 1.46358 1.74422i
\(130\) 0.331377 + 6.85969i 0.0290637 + 0.601635i
\(131\) 3.36828 9.25428i 0.294288 0.808550i −0.701139 0.713025i \(-0.747325\pi\)
0.995427 0.0955253i \(-0.0304531\pi\)
\(132\) 3.83613 14.8668i 0.333893 1.29399i
\(133\) 6.89248 + 4.05762i 0.597654 + 0.351840i
\(134\) −0.492556 + 3.88029i −0.0425504 + 0.335206i
\(135\) −22.4719 8.17909i −1.93407 0.703944i
\(136\) 2.41280 + 0.499795i 0.206895 + 0.0428571i
\(137\) 13.0208 + 10.9257i 1.11244 + 0.933448i 0.998198 0.0600045i \(-0.0191115\pi\)
0.114242 + 0.993453i \(0.463556\pi\)
\(138\) −27.3960 + 17.6323i −2.33211 + 1.50096i
\(139\) −9.34767 1.64825i −0.792859 0.139803i −0.237472 0.971394i \(-0.576319\pi\)
−0.555387 + 0.831592i \(0.687430\pi\)
\(140\) 5.01300 + 4.92087i 0.423676 + 0.415890i
\(141\) −6.83330 + 3.94521i −0.575468 + 0.332246i
\(142\) −2.49709 11.0215i −0.209551 0.924907i
\(143\) 5.79939 2.11081i 0.484970 0.176514i
\(144\) −0.516273 27.8306i −0.0430227 2.31922i
\(145\) −4.69141 2.70859i −0.389601 0.224936i
\(146\) −15.7394 4.88249i −1.30260 0.404078i
\(147\) 8.78293 7.36975i 0.724404 0.607847i
\(148\) −2.41776 + 1.72657i −0.198738 + 0.141923i
\(149\) −3.22494 18.2896i −0.264198 1.49834i −0.771310 0.636459i \(-0.780398\pi\)
0.507112 0.861880i \(-0.330713\pi\)
\(150\) 2.72856 5.30139i 0.222786 0.432857i
\(151\) 5.44123 0.442801 0.221400 0.975183i \(-0.428937\pi\)
0.221400 + 0.975183i \(0.428937\pi\)
\(152\) −12.2144 + 1.67570i −0.990720 + 0.135917i
\(153\) −6.06228 −0.490107
\(154\) 2.88884 5.61280i 0.232789 0.452292i
\(155\) 1.37843 + 7.81745i 0.110718 + 0.627913i
\(156\) 13.0307 9.30547i 1.04329 0.745034i
\(157\) 9.83579 8.25321i 0.784982 0.658678i −0.159516 0.987195i \(-0.550993\pi\)
0.944498 + 0.328518i \(0.106549\pi\)
\(158\) 7.06957 + 2.19304i 0.562424 + 0.174469i
\(159\) −5.05652 2.91938i −0.401008 0.231522i
\(160\) −10.7654 1.16409i −0.851079 0.0920295i
\(161\) −12.5872 + 4.58135i −0.992007 + 0.361061i
\(162\) 5.79642 + 25.5839i 0.455409 + 2.01006i
\(163\) −16.8860 + 9.74913i −1.32261 + 0.763611i −0.984145 0.177367i \(-0.943242\pi\)
−0.338468 + 0.940978i \(0.609909\pi\)
\(164\) 2.07763 + 2.03944i 0.162235 + 0.159254i
\(165\) 14.4716 + 2.55173i 1.12661 + 0.198652i
\(166\) −11.2590 + 7.24638i −0.873867 + 0.562428i
\(167\) −17.0859 14.3367i −1.32214 1.10941i −0.985846 0.167655i \(-0.946380\pi\)
−0.336299 0.941755i \(-0.609175\pi\)
\(168\) 3.32209 16.0376i 0.256305 1.23733i
\(169\) −6.16790 2.24493i −0.474454 0.172687i
\(170\) −0.296970 + 2.33949i −0.0227766 + 0.179431i
\(171\) 28.5905 10.1326i 2.18637 0.774861i
\(172\) −4.09493 + 15.8698i −0.312236 + 1.21006i
\(173\) 7.49191 20.5839i 0.569600 1.56496i −0.235532 0.971867i \(-0.575683\pi\)
0.805132 0.593096i \(-0.202094\pi\)
\(174\) 0.609432 + 12.6156i 0.0462009 + 0.956385i
\(175\) 1.57572 1.87787i 0.119113 0.141954i
\(176\) 1.86715 + 9.54979i 0.140742 + 0.719843i
\(177\) −3.75117 + 21.2740i −0.281955 + 1.59905i
\(178\) 5.37554 7.07321i 0.402913 0.530159i
\(179\) 4.97474 + 8.61650i 0.371829 + 0.644027i 0.989847 0.142137i \(-0.0453973\pi\)
−0.618018 + 0.786164i \(0.712064\pi\)
\(180\) 26.5167 2.56792i 1.97644 0.191402i
\(181\) −1.36725 3.75648i −0.101627 0.279217i 0.878451 0.477833i \(-0.158578\pi\)
−0.980077 + 0.198616i \(0.936355\pi\)
\(182\) 6.07044 2.54750i 0.449971 0.188833i
\(183\) 17.6918 30.6430i 1.30781 2.26520i
\(184\) 10.8507 17.5668i 0.799927 1.29504i
\(185\) −1.82773 2.17821i −0.134378 0.160145i
\(186\) 13.5872 12.5668i 0.996264 0.921443i
\(187\) 2.08704 0.368001i 0.152619 0.0269109i
\(188\) 2.83013 4.12271i 0.206409 0.300679i
\(189\) 22.9238i 1.66746i
\(190\) −2.50973 11.5297i −0.182075 0.836453i
\(191\) 5.39176i 0.390134i 0.980790 + 0.195067i \(0.0624924\pi\)
−0.980790 + 0.195067i \(0.937508\pi\)
\(192\) 11.3019 + 22.5751i 0.815642 + 1.62922i
\(193\) −15.2825 + 2.69472i −1.10006 + 0.193970i −0.694070 0.719908i \(-0.744184\pi\)
−0.405990 + 0.913878i \(0.633073\pi\)
\(194\) −5.94136 6.42380i −0.426565 0.461202i
\(195\) 9.85072 + 11.7396i 0.705425 + 0.840692i
\(196\) −3.00965 + 6.61366i −0.214975 + 0.472405i
\(197\) 2.13117 3.69129i 0.151839 0.262993i −0.780064 0.625699i \(-0.784814\pi\)
0.931904 + 0.362706i \(0.118147\pi\)
\(198\) −9.26409 22.0754i −0.658370 1.56883i
\(199\) 2.62112 + 7.20146i 0.185806 + 0.510498i 0.997265 0.0739116i \(-0.0235483\pi\)
−0.811459 + 0.584410i \(0.801326\pi\)
\(200\) −0.112294 + 3.77704i −0.00794039 + 0.267077i
\(201\) 4.36411 + 7.55886i 0.307820 + 0.533161i
\(202\) −5.63222 4.28040i −0.396281 0.301168i
\(203\) −0.901732 + 5.11397i −0.0632892 + 0.358931i
\(204\) 4.96144 2.36982i 0.347370 0.165921i
\(205\) −1.79105 + 2.13449i −0.125093 + 0.149080i
\(206\) −21.5795 + 1.04246i −1.50352 + 0.0726316i
\(207\) −17.3747 + 47.7367i −1.20763 + 3.31793i
\(208\) −4.91008 + 8.88094i −0.340453 + 0.615783i
\(209\) −9.22765 + 5.22386i −0.638290 + 0.361342i
\(210\) 15.5504 + 1.97393i 1.07308 + 0.136214i
\(211\) 19.2013 + 6.98869i 1.32187 + 0.481121i 0.904057 0.427412i \(-0.140575\pi\)
0.417812 + 0.908533i \(0.362797\pi\)
\(212\) 3.68913 + 0.288309i 0.253371 + 0.0198011i
\(213\) −19.3177 16.2095i −1.32363 1.11066i
\(214\) −3.98095 6.18536i −0.272132 0.422823i
\(215\) −15.4479 2.72388i −1.05354 0.185767i
\(216\) −21.8992 27.7321i −1.49005 1.88693i
\(217\) 6.58989 3.80468i 0.447351 0.258278i
\(218\) −1.13765 + 0.257751i −0.0770512 + 0.0174571i
\(219\) −34.5553 + 12.5771i −2.33503 + 0.849881i
\(220\) −8.97292 + 2.49370i −0.604954 + 0.168125i
\(221\) 1.91402 + 1.10506i 0.128751 + 0.0743343i
\(222\) −1.96421 + 6.33192i −0.131829 + 0.424970i
\(223\) 7.79705 6.54250i 0.522129 0.438118i −0.343244 0.939246i \(-0.611526\pi\)
0.865373 + 0.501128i \(0.167081\pi\)
\(224\) 2.48093 + 10.0789i 0.165764 + 0.673427i
\(225\) −1.61438 9.15562i −0.107626 0.610375i
\(226\) −9.31270 4.79313i −0.619472 0.318834i
\(227\) 12.9399 0.858848 0.429424 0.903103i \(-0.358717\pi\)
0.429424 + 0.903103i \(0.358717\pi\)
\(228\) −19.4378 + 19.4690i −1.28730 + 1.28937i
\(229\) 14.2432 0.941219 0.470610 0.882342i \(-0.344034\pi\)
0.470610 + 0.882342i \(0.344034\pi\)
\(230\) 17.5709 + 9.04352i 1.15859 + 0.596312i
\(231\) −2.44607 13.8723i −0.160939 0.912732i
\(232\) −3.79452 7.04805i −0.249122 0.462727i
\(233\) 12.3534 10.3658i 0.809300 0.679083i −0.141141 0.989990i \(-0.545077\pi\)
0.950441 + 0.310906i \(0.100633\pi\)
\(234\) 7.39727 23.8462i 0.483575 1.55887i
\(235\) 4.14481 + 2.39301i 0.270378 + 0.156103i
\(236\) −3.66588 13.1907i −0.238628 0.858639i
\(237\) 15.5210 5.64917i 1.00820 0.366953i
\(238\) 2.20474 0.499516i 0.142912 0.0323788i
\(239\) −18.4124 + 10.6304i −1.19100 + 0.687625i −0.958534 0.284979i \(-0.908013\pi\)
−0.232468 + 0.972604i \(0.574680\pi\)
\(240\) −20.6978 + 12.4673i −1.33603 + 0.804763i
\(241\) 5.49009 + 0.968052i 0.353648 + 0.0623577i 0.347650 0.937624i \(-0.386980\pi\)
0.00599789 + 0.999982i \(0.498091\pi\)
\(242\) −3.88981 6.04375i −0.250047 0.388507i
\(243\) 16.1305 + 13.5351i 1.03477 + 0.868277i
\(244\) −1.74718 + 22.3565i −0.111852 + 1.43123i
\(245\) −6.53500 2.37855i −0.417506 0.151960i
\(246\) 6.44482 + 0.818091i 0.410906 + 0.0521596i
\(247\) −10.8738 2.01247i −0.691881 0.128050i
\(248\) −4.33750 + 10.8980i −0.275432 + 0.692026i
\(249\) −10.2188 + 28.0760i −0.647592 + 1.77924i
\(250\) −17.1317 + 0.827598i −1.08351 + 0.0523419i
\(251\) 5.90861 7.04161i 0.372948 0.444462i −0.546627 0.837376i \(-0.684088\pi\)
0.919575 + 0.392914i \(0.128533\pi\)
\(252\) −11.0069 23.0439i −0.693367 1.45163i
\(253\) 3.08375 17.4888i 0.193874 1.09951i
\(254\) 3.52519 + 2.67909i 0.221190 + 0.168101i
\(255\) 2.63119 + 4.55736i 0.164772 + 0.285393i
\(256\) −12.6297 9.82295i −0.789357 0.613934i
\(257\) 6.16751 + 16.9451i 0.384719 + 1.05701i 0.969345 + 0.245703i \(0.0790189\pi\)
−0.584626 + 0.811303i \(0.698759\pi\)
\(258\) 14.1523 + 33.7235i 0.881084 + 2.09954i
\(259\) −1.36285 + 2.36053i −0.0846836 + 0.146676i
\(260\) −8.84009 4.02282i −0.548239 0.249485i
\(261\) 12.6590 + 15.0864i 0.783572 + 0.933824i
\(262\) 9.45677 + 10.2247i 0.584241 + 0.631681i
\(263\) 10.7849 1.90167i 0.665025 0.117262i 0.169062 0.985605i \(-0.445926\pi\)
0.495963 + 0.868343i \(0.334815\pi\)
\(264\) 16.2114 + 14.4453i 0.997742 + 0.889047i
\(265\) 3.54157i 0.217557i
\(266\) −9.56292 + 6.04082i −0.586341 + 0.370387i
\(267\) 19.8245i 1.21324i
\(268\) −4.56045 3.13064i −0.278574 0.191234i
\(269\) 26.9447 4.75109i 1.64285 0.289679i 0.725638 0.688077i \(-0.241545\pi\)
0.917213 + 0.398398i \(0.130434\pi\)
\(270\) 24.8282 22.9635i 1.51100 1.39752i
\(271\) 15.2661 + 18.1934i 0.927347 + 1.10517i 0.994215 + 0.107407i \(0.0342549\pi\)
−0.0668682 + 0.997762i \(0.521301\pi\)
\(272\) −2.18999 + 2.71048i −0.132788 + 0.164347i
\(273\) 7.34521 12.7223i 0.444553 0.769988i
\(274\) −22.1653 + 9.30182i −1.33906 + 0.561944i
\(275\) 1.11155 + 3.05397i 0.0670292 + 0.184161i
\(276\) −4.44118 45.8602i −0.267328 2.76046i
\(277\) −1.99118 3.44882i −0.119638 0.207220i 0.799986 0.600019i \(-0.204840\pi\)
−0.919624 + 0.392799i \(0.871507\pi\)
\(278\) 8.12226 10.6874i 0.487141 0.640987i
\(279\) 5.01121 28.4200i 0.300013 1.70146i
\(280\) −9.43204 + 3.11881i −0.563672 + 0.186385i
\(281\) −3.21635 + 3.83310i −0.191871 + 0.228664i −0.853400 0.521256i \(-0.825464\pi\)
0.661529 + 0.749920i \(0.269908\pi\)
\(282\) −0.538427 11.1457i −0.0320628 0.663719i
\(283\) 3.20210 8.79770i 0.190345 0.522969i −0.807406 0.589996i \(-0.799129\pi\)
0.997751 + 0.0670271i \(0.0213514\pi\)
\(284\) 15.4750 + 3.99306i 0.918271 + 0.236945i
\(285\) −20.0263 17.0953i −1.18626 1.01264i
\(286\) −1.09909 + 8.65846i −0.0649903 + 0.511985i
\(287\) 2.50993 + 0.913538i 0.148156 + 0.0539245i
\(288\) 35.3294 + 17.3624i 2.08180 + 1.02309i
\(289\) −12.4414 10.4396i −0.731846 0.614092i
\(290\) 6.44210 4.14619i 0.378293 0.243473i
\(291\) −19.2290 3.39059i −1.12722 0.198760i
\(292\) 16.3258 16.6314i 0.955393 0.973281i
\(293\) 1.03094 0.595211i 0.0602279 0.0347726i −0.469584 0.882888i \(-0.655596\pi\)
0.529812 + 0.848115i \(0.322263\pi\)
\(294\) 3.58280 + 15.8136i 0.208953 + 0.922268i
\(295\) 12.3128 4.48150i 0.716880 0.260923i
\(296\) −0.606309 4.15759i −0.0352410 0.241655i
\(297\) −26.3199 15.1958i −1.52724 0.881751i
\(298\) 25.0851 + 7.78161i 1.45314 + 0.450776i
\(299\) 14.1873 11.9045i 0.820472 0.688457i
\(300\) 4.90028 + 6.86198i 0.282918 + 0.396177i
\(301\) 2.61109 + 14.8082i 0.150501 + 0.853531i
\(302\) −3.52149 + 6.84200i −0.202639 + 0.393713i
\(303\) −15.7857 −0.906866
\(304\) 5.79793 16.4434i 0.332534 0.943091i
\(305\) −21.4623 −1.22893
\(306\) 3.92343 7.62294i 0.224288 0.435775i
\(307\) 3.77412 + 21.4041i 0.215401 + 1.22160i 0.880210 + 0.474584i \(0.157402\pi\)
−0.664810 + 0.747013i \(0.731487\pi\)
\(308\) 5.18813 + 7.26507i 0.295621 + 0.413966i
\(309\) −36.9310 + 30.9888i −2.10093 + 1.76289i
\(310\) −10.7221 3.32607i −0.608972 0.188908i
\(311\) −28.7054 16.5731i −1.62773 0.939773i −0.984767 0.173880i \(-0.944370\pi\)
−0.642968 0.765893i \(-0.722297\pi\)
\(312\) 3.26775 + 22.4077i 0.185000 + 1.26858i
\(313\) 29.2682 10.6528i 1.65434 0.602130i 0.664880 0.746951i \(-0.268483\pi\)
0.989458 + 0.144821i \(0.0462607\pi\)
\(314\) 4.01229 + 17.7093i 0.226427 + 0.999392i
\(315\) 21.1671 12.2208i 1.19263 0.688565i
\(316\) −7.33294 + 7.47023i −0.412510 + 0.420233i
\(317\) −11.1921 1.97346i −0.628609 0.110841i −0.149738 0.988726i \(-0.547843\pi\)
−0.478872 + 0.877885i \(0.658954\pi\)
\(318\) 6.94346 4.46887i 0.389370 0.250602i
\(319\) −5.27385 4.42529i −0.295279 0.247769i
\(320\) 8.43100 12.7834i 0.471307 0.714615i
\(321\) −15.4241 5.61393i −0.860892 0.313339i
\(322\) 2.38549 18.7926i 0.132938 1.04727i
\(323\) −3.55717 1.32894i −0.197926 0.0739441i
\(324\) −35.9216 9.26896i −1.99564 0.514942i
\(325\) −1.15922 + 3.18494i −0.0643021 + 0.176669i
\(326\) −1.33052 27.5426i −0.0736909 1.52544i
\(327\) −1.67315 + 1.99398i −0.0925254 + 0.110267i
\(328\) −3.90909 + 1.29258i −0.215843 + 0.0713710i
\(329\) 0.796670 4.51814i 0.0439219 0.249093i
\(330\) −12.5744 + 16.5456i −0.692200 + 0.910807i
\(331\) −0.569873 0.987049i −0.0313230 0.0542531i 0.849939 0.526881i \(-0.176639\pi\)
−0.881262 + 0.472628i \(0.843305\pi\)
\(332\) −1.82520 18.8472i −0.100171 1.03438i
\(333\) 3.53554 + 9.71381i 0.193746 + 0.532314i
\(334\) 29.0853 12.2059i 1.59148 0.667874i
\(335\) 2.64710 4.58491i 0.144626 0.250500i
\(336\) 18.0163 + 14.5567i 0.982869 + 0.794131i
\(337\) 11.8905 + 14.1706i 0.647718 + 0.771920i 0.985568 0.169280i \(-0.0541442\pi\)
−0.337850 + 0.941200i \(0.609700\pi\)
\(338\) 6.81465 6.30286i 0.370668 0.342830i
\(339\) −23.0168 + 4.05849i −1.25010 + 0.220427i
\(340\) −2.74957 1.88751i −0.149116 0.102365i
\(341\) 10.0882i 0.546308i
\(342\) −5.76227 + 42.5085i −0.311588 + 2.29859i
\(343\) 19.5108i 1.05348i
\(344\) −17.3051 15.4198i −0.933026 0.831382i
\(345\) 43.4274 7.65742i 2.33805 0.412262i
\(346\) 21.0343 + 22.7422i 1.13081 + 1.22263i
\(347\) −11.4936 13.6975i −0.617008 0.735321i 0.363545 0.931577i \(-0.381566\pi\)
−0.980553 + 0.196255i \(0.937122\pi\)
\(348\) −16.2577 7.39832i −0.871505 0.396592i
\(349\) −4.75225 + 8.23114i −0.254382 + 0.440603i −0.964727 0.263251i \(-0.915205\pi\)
0.710345 + 0.703853i \(0.248539\pi\)
\(350\) 1.34152 + 3.19671i 0.0717072 + 0.170871i
\(351\) −10.8403 29.7835i −0.578614 1.58973i
\(352\) −13.2167 3.83268i −0.704450 0.204283i
\(353\) −5.73568 9.93449i −0.305280 0.528760i 0.672044 0.740511i \(-0.265417\pi\)
−0.977324 + 0.211751i \(0.932083\pi\)
\(354\) −24.3230 18.4851i −1.29275 0.982472i
\(355\) −2.65611 + 15.0636i −0.140972 + 0.799491i
\(356\) 5.41514 + 11.3371i 0.287002 + 0.600864i
\(357\) 3.24253 3.86430i 0.171613 0.204520i
\(358\) −14.0543 + 0.678933i −0.742793 + 0.0358827i
\(359\) 8.61799 23.6777i 0.454840 1.24966i −0.474440 0.880288i \(-0.657349\pi\)
0.929280 0.369376i \(-0.120428\pi\)
\(360\) −13.9323 + 35.0050i −0.734296 + 1.84493i
\(361\) 18.9973 + 0.321920i 0.999856 + 0.0169432i
\(362\) 5.60840 + 0.711918i 0.294771 + 0.0374176i
\(363\) −15.0710 5.48540i −0.791023 0.287909i
\(364\) −0.725389 + 9.28191i −0.0380207 + 0.486505i
\(365\) 17.0867 + 14.3374i 0.894356 + 0.750454i
\(366\) 27.0818 + 42.0781i 1.41559 + 2.19946i
\(367\) 6.93117 + 1.22215i 0.361804 + 0.0637958i 0.351595 0.936152i \(-0.385639\pi\)
0.0102088 + 0.999948i \(0.496750\pi\)
\(368\) 15.0667 + 25.0131i 0.785407 + 1.30390i
\(369\) 8.77264 5.06489i 0.456685 0.263667i
\(370\) 3.92185 0.888552i 0.203887 0.0461936i
\(371\) 3.19018 1.16113i 0.165626 0.0602829i
\(372\) 7.00849 + 25.2182i 0.363373 + 1.30750i
\(373\) −28.1670 16.2622i −1.45843 0.842025i −0.459496 0.888180i \(-0.651970\pi\)
−0.998934 + 0.0461546i \(0.985303\pi\)
\(374\) −0.887966 + 2.86248i −0.0459156 + 0.148016i
\(375\) −29.3191 + 24.6017i −1.51403 + 1.27043i
\(376\) 3.35242 + 6.22688i 0.172888 + 0.321127i
\(377\) −1.24675 7.07069i −0.0642111 0.364159i
\(378\) −28.8253 14.8360i −1.48261 0.763082i
\(379\) 23.4446 1.20427 0.602135 0.798394i \(-0.294317\pi\)
0.602135 + 0.798394i \(0.294317\pi\)
\(380\) 16.1221 + 4.30606i 0.827049 + 0.220896i
\(381\) 9.88024 0.506180
\(382\) −6.77980 3.48948i −0.346885 0.178537i
\(383\) −3.75733 21.3089i −0.191990 1.08883i −0.916640 0.399714i \(-0.869109\pi\)
0.724650 0.689118i \(-0.242002\pi\)
\(384\) −35.7012 0.398925i −1.82187 0.0203575i
\(385\) −6.54525 + 5.49212i −0.333577 + 0.279904i
\(386\) 6.50221 20.9608i 0.330954 1.06688i
\(387\) 49.3863 + 28.5132i 2.51044 + 1.44941i
\(388\) 11.9227 3.31349i 0.605283 0.168217i
\(389\) −21.8603 + 7.95648i −1.10836 + 0.403410i −0.830391 0.557181i \(-0.811883\pi\)
−0.277968 + 0.960590i \(0.589661\pi\)
\(390\) −21.1371 + 4.78892i −1.07032 + 0.242496i
\(391\) 5.50754 3.17978i 0.278528 0.160808i
\(392\) −6.36846 8.06472i −0.321656 0.407330i
\(393\) 30.6064 + 5.39674i 1.54389 + 0.272230i
\(394\) 3.26230 + 5.06876i 0.164352 + 0.255361i
\(395\) −7.67470 6.43984i −0.386156 0.324023i
\(396\) 33.7540 + 2.63790i 1.69620 + 0.132560i
\(397\) 24.0948 + 8.76979i 1.20928 + 0.440143i 0.866455 0.499255i \(-0.166393\pi\)
0.342828 + 0.939398i \(0.388615\pi\)
\(398\) −10.7517 1.36480i −0.538936 0.0684114i
\(399\) −8.83332 + 23.6441i −0.442219 + 1.18369i
\(400\) −4.67672 2.58566i −0.233836 0.129283i
\(401\) 0.905379 2.48751i 0.0452125 0.124220i −0.915032 0.403382i \(-0.867834\pi\)
0.960244 + 0.279162i \(0.0900567\pi\)
\(402\) −12.3292 + 0.595596i −0.614924 + 0.0297056i
\(403\) −6.76267 + 8.05944i −0.336873 + 0.401469i
\(404\) 9.02744 4.31194i 0.449132 0.214527i
\(405\) 6.16554 34.9665i 0.306368 1.73750i
\(406\) −5.84691 4.44357i −0.290177 0.220531i
\(407\) −1.80683 3.12951i −0.0895610 0.155124i
\(408\) −0.231079 + 7.77242i −0.0114401 + 0.384792i
\(409\) −7.31695 20.1032i −0.361800 0.994038i −0.978393 0.206755i \(-0.933710\pi\)
0.616593 0.787282i \(-0.288513\pi\)
\(410\) −1.52485 3.63356i −0.0753068 0.179449i
\(411\) −26.8199 + 46.4535i −1.32293 + 2.29138i
\(412\) 12.6552 27.8095i 0.623475 1.37008i
\(413\) −8.07371 9.62187i −0.397281 0.473461i
\(414\) −48.7812 52.7422i −2.39746 2.59214i
\(415\) 17.8474 3.14698i 0.876095 0.154479i
\(416\) −7.98949 11.9218i −0.391717 0.584512i
\(417\) 29.9541i 1.46686i
\(418\) −0.596654 14.9840i −0.0291833 0.732892i
\(419\) 3.96184i 0.193549i 0.995306 + 0.0967744i \(0.0308525\pi\)
−0.995306 + 0.0967744i \(0.969147\pi\)
\(420\) −12.5461 + 18.2761i −0.612187 + 0.891783i
\(421\) −39.1951 + 6.91115i −1.91025 + 0.336829i −0.997437 0.0715443i \(-0.977207\pi\)
−0.912815 + 0.408373i \(0.866096\pi\)
\(422\) −21.2146 + 19.6214i −1.03271 + 0.955154i
\(423\) −11.1841 13.3287i −0.543789 0.648062i
\(424\) −2.75009 + 4.45226i −0.133556 + 0.216221i
\(425\) −0.581925 + 1.00792i −0.0282275 + 0.0488915i
\(426\) 32.8846 13.8002i 1.59326 0.668624i
\(427\) 7.03658 + 19.3328i 0.340524 + 0.935582i
\(428\) 10.3541 1.00271i 0.500486 0.0484679i
\(429\) 9.73803 + 16.8668i 0.470157 + 0.814335i
\(430\) 13.4228 17.6619i 0.647303 0.851731i
\(431\) −3.45718 + 19.6067i −0.166527 + 0.944419i 0.780950 + 0.624594i \(0.214735\pi\)
−0.947476 + 0.319826i \(0.896376\pi\)
\(432\) 49.0442 9.58898i 2.35964 0.461350i
\(433\) −19.0331 + 22.6828i −0.914675 + 1.09007i 0.0809587 + 0.996717i \(0.474202\pi\)
−0.995633 + 0.0933494i \(0.970243\pi\)
\(434\) 0.519247 + 10.7487i 0.0249247 + 0.515955i
\(435\) 5.84695 16.0644i 0.280340 0.770227i
\(436\) 0.412166 1.59733i 0.0197392 0.0764984i
\(437\) −20.6595 + 24.2017i −0.988279 + 1.15772i
\(438\) 6.54883 51.5908i 0.312915 2.46510i
\(439\) 0.0910357 + 0.0331343i 0.00434490 + 0.00158141i 0.344192 0.938899i \(-0.388153\pi\)
−0.339847 + 0.940481i \(0.610375\pi\)
\(440\) 2.67148 12.8968i 0.127358 0.614830i
\(441\) 19.3675 + 16.2512i 0.922260 + 0.773868i
\(442\) −2.62827 + 1.69158i −0.125014 + 0.0804601i
\(443\) 21.2279 + 3.74305i 1.00857 + 0.177838i 0.653438 0.756980i \(-0.273326\pi\)
0.355129 + 0.934817i \(0.384437\pi\)
\(444\) −6.69078 6.56781i −0.317530 0.311694i
\(445\) −10.4137 + 6.01237i −0.493658 + 0.285014i
\(446\) 3.18064 + 14.0385i 0.150607 + 0.664744i
\(447\) 55.0735 20.0451i 2.60489 0.948101i
\(448\) −14.2792 3.40335i −0.674631 0.160793i
\(449\) 16.9734 + 9.79959i 0.801024 + 0.462471i 0.843829 0.536612i \(-0.180296\pi\)
−0.0428051 + 0.999083i \(0.513629\pi\)
\(450\) 12.5574 + 3.89542i 0.591963 + 0.183632i
\(451\) −2.71266 + 2.27620i −0.127734 + 0.107182i
\(452\) 12.0541 8.60809i 0.566978 0.404890i
\(453\) 2.98175 + 16.9104i 0.140095 + 0.794518i
\(454\) −8.37451 + 16.2711i −0.393035 + 0.763638i
\(455\) −8.91064 −0.417737
\(456\) −11.9012 37.0420i −0.557324 1.73465i
\(457\) 9.26419 0.433360 0.216680 0.976243i \(-0.430477\pi\)
0.216680 + 0.976243i \(0.430477\pi\)
\(458\) −9.21804 + 17.9100i −0.430731 + 0.836878i
\(459\) −1.88992 10.7183i −0.0882138 0.500285i
\(460\) −22.7433 + 16.2415i −1.06041 + 0.757262i
\(461\) 3.95276 3.31676i 0.184098 0.154477i −0.546081 0.837732i \(-0.683881\pi\)
0.730179 + 0.683256i \(0.239437\pi\)
\(462\) 19.0266 + 5.90222i 0.885200 + 0.274596i
\(463\) −27.6307 15.9526i −1.28411 0.741379i −0.306510 0.951867i \(-0.599161\pi\)
−0.977596 + 0.210488i \(0.932495\pi\)
\(464\) 11.3182 0.209959i 0.525436 0.00974712i
\(465\) −23.5399 + 8.56781i −1.09164 + 0.397323i
\(466\) 5.03931 + 22.2422i 0.233441 + 1.03035i
\(467\) 20.9939 12.1208i 0.971481 0.560885i 0.0717935 0.997420i \(-0.477128\pi\)
0.899687 + 0.436535i \(0.143794\pi\)
\(468\) 25.1976 + 24.7345i 1.16476 + 1.14335i
\(469\) −4.99788 0.881260i −0.230780 0.0406928i
\(470\) −5.69153 + 3.66312i −0.262531 + 0.168967i
\(471\) 31.0394 + 26.0452i 1.43022 + 1.20010i
\(472\) 18.9589 + 3.92722i 0.872656 + 0.180765i
\(473\) −18.7328 6.81820i −0.861337 0.313501i
\(474\) −2.94150 + 23.1727i −0.135107 + 1.06436i
\(475\) 1.05977 5.72614i 0.0486256 0.262733i
\(476\) −0.798768 + 3.09560i −0.0366115 + 0.141887i
\(477\) 4.40358 12.0987i 0.201626 0.553963i
\(478\) −1.45080 30.0324i −0.0663580 1.37365i
\(479\) −1.51494 + 1.80544i −0.0692195 + 0.0824926i −0.799543 0.600609i \(-0.794925\pi\)
0.730323 + 0.683101i \(0.239369\pi\)
\(480\) −2.28157 34.0948i −0.104139 1.55621i
\(481\) 0.654415 3.71137i 0.0298387 0.169224i
\(482\) −4.77038 + 6.27694i −0.217285 + 0.285907i
\(483\) −21.1357 36.6081i −0.961707 1.66573i
\(484\) 10.1171 0.979755i 0.459867 0.0445343i
\(485\) 4.05070 + 11.1292i 0.183933 + 0.505352i
\(486\) −27.4590 + 11.5234i −1.24557 + 0.522710i
\(487\) −16.3996 + 28.4049i −0.743135 + 1.28715i 0.207926 + 0.978145i \(0.433329\pi\)
−0.951061 + 0.309003i \(0.900005\pi\)
\(488\) −26.9812 16.6658i −1.22138 0.754427i
\(489\) −39.5520 47.1362i −1.78860 2.13157i
\(490\) 7.22024 6.67799i 0.326177 0.301681i
\(491\) −13.1877 + 2.32535i −0.595154 + 0.104942i −0.463108 0.886302i \(-0.653266\pi\)
−0.132046 + 0.991244i \(0.542155\pi\)
\(492\) −5.19970 + 7.57449i −0.234421 + 0.341485i
\(493\) 2.46543i 0.111037i
\(494\) 9.56792 12.3706i 0.430481 0.556581i
\(495\) 32.4039i 1.45645i
\(496\) −10.8964 12.5072i −0.489264 0.561590i
\(497\) 14.4398 2.54613i 0.647714 0.114210i
\(498\) −28.6903 31.0200i −1.28564 1.39004i
\(499\) −21.7580 25.9301i −0.974021 1.16079i −0.986975 0.160876i \(-0.948568\pi\)
0.0129539 0.999916i \(-0.495877\pi\)
\(500\) 10.0468 22.0777i 0.449306 0.987345i
\(501\) 35.1931 60.9563i 1.57231 2.72333i
\(502\) 5.03040 + 11.9869i 0.224518 + 0.535004i
\(503\) 12.7105 + 34.9217i 0.566731 + 1.55708i 0.809575 + 0.587016i \(0.199698\pi\)
−0.242844 + 0.970065i \(0.578080\pi\)
\(504\) 36.0997 + 1.07327i 1.60801 + 0.0478072i
\(505\) 4.78750 + 8.29219i 0.213041 + 0.368998i
\(506\) 19.9953 + 15.1962i 0.888900 + 0.675551i
\(507\) 3.59689 20.3990i 0.159743 0.905949i
\(508\) −5.65025 + 2.69883i −0.250689 + 0.119741i
\(509\) 6.82338 8.13179i 0.302441 0.360435i −0.593323 0.804964i \(-0.702184\pi\)
0.895764 + 0.444529i \(0.146629\pi\)
\(510\) −7.43346 + 0.359095i −0.329159 + 0.0159010i
\(511\) 7.31289 20.0920i 0.323503 0.888817i
\(512\) 20.5255 9.52379i 0.907109 0.420896i
\(513\) 26.8278 + 47.3898i 1.18448 + 2.09231i
\(514\) −25.2989 3.21139i −1.11589 0.141648i
\(515\) 27.4788 + 10.0015i 1.21086 + 0.440717i
\(516\) −51.5644 4.02980i −2.27000 0.177402i
\(517\) 4.65939 + 3.90969i 0.204920 + 0.171948i
\(518\) −2.08620 3.24141i −0.0916624 0.142419i
\(519\) 68.0765 + 12.0037i 2.98823 + 0.526905i
\(520\) 10.7796 8.51235i 0.472718 0.373291i
\(521\) −12.4939 + 7.21337i −0.547369 + 0.316024i −0.748060 0.663631i \(-0.769015\pi\)
0.200691 + 0.979655i \(0.435681\pi\)
\(522\) −27.1629 + 6.15416i −1.18889 + 0.269360i
\(523\) −25.6633 + 9.34069i −1.12218 + 0.408440i −0.835447 0.549571i \(-0.814791\pi\)
−0.286732 + 0.958011i \(0.592569\pi\)
\(524\) −18.9772 + 5.27402i −0.829021 + 0.230397i
\(525\) 6.69957 + 3.86800i 0.292393 + 0.168813i
\(526\) −4.58862 + 14.7921i −0.200073 + 0.644965i
\(527\) −2.76750 + 2.32220i −0.120554 + 0.101157i
\(528\) −28.6559 + 11.0360i −1.24709 + 0.480279i
\(529\) −5.26005 29.8312i −0.228698 1.29701i
\(530\) −4.45330 2.29206i −0.193439 0.0995606i
\(531\) −47.6354 −2.06720
\(532\) −1.40695 15.9343i −0.0609992 0.690840i
\(533\) −3.69299 −0.159961
\(534\) 24.9280 + 12.8301i 1.07874 + 0.555214i
\(535\) 1.72886 + 9.80485i 0.0747452 + 0.423901i
\(536\) 6.88804 3.70837i 0.297518 0.160177i
\(537\) −24.0524 + 20.1824i −1.03794 + 0.870934i
\(538\) −11.4641 + 36.9562i −0.494253 + 1.59329i
\(539\) −7.65406 4.41907i −0.329684 0.190343i
\(540\) 12.8067 + 46.0816i 0.551114 + 1.98304i
\(541\) 14.6005 5.31414i 0.627724 0.228473i −0.00851644 0.999964i \(-0.502711\pi\)
0.636240 + 0.771491i \(0.280489\pi\)
\(542\) −32.7570 + 7.42159i −1.40703 + 0.318784i
\(543\) 10.9252 6.30768i 0.468846 0.270688i
\(544\) −1.99092 4.50796i −0.0853601 0.193277i
\(545\) 1.55487 + 0.274165i 0.0666032 + 0.0117439i
\(546\) 11.2437 + 17.4698i 0.481188 + 0.747640i
\(547\) −22.9739 19.2774i −0.982292 0.824241i 0.00214187 0.999998i \(-0.499318\pi\)
−0.984434 + 0.175757i \(0.943763\pi\)
\(548\) 2.64865 33.8915i 0.113145 1.44777i
\(549\) 73.3196 + 26.6861i 3.12920 + 1.13894i
\(550\) −4.55956 0.578781i −0.194420 0.0246793i
\(551\) 4.12077 + 11.6273i 0.175551 + 0.495339i
\(552\) 60.5407 + 24.0957i 2.57678 + 1.02558i
\(553\) −3.28468 + 9.02459i −0.139679 + 0.383765i
\(554\) 5.62535 0.271748i 0.238998 0.0115455i
\(555\) 5.76790 6.87391i 0.244834 0.291781i
\(556\) 8.18210 + 17.1300i 0.346998 + 0.726473i
\(557\) 3.59379 20.3814i 0.152274 0.863587i −0.808962 0.587861i \(-0.799970\pi\)
0.961236 0.275727i \(-0.0889185\pi\)
\(558\) 32.4931 + 24.6943i 1.37554 + 1.04539i
\(559\) −10.3950 18.0047i −0.439662 0.761516i
\(560\) 2.18259 13.8787i 0.0922311 0.586480i
\(561\) 2.28736 + 6.28448i 0.0965725 + 0.265331i
\(562\) −2.73830 6.52509i −0.115508 0.275244i
\(563\) −4.49016 + 7.77718i −0.189238 + 0.327769i −0.944996 0.327081i \(-0.893935\pi\)
0.755759 + 0.654850i \(0.227268\pi\)
\(564\) 14.3635 + 6.53634i 0.604814 + 0.275230i
\(565\) 9.11247 + 10.8598i 0.383364 + 0.456876i
\(566\) 8.99020 + 9.72020i 0.377886 + 0.408571i
\(567\) −33.5187 + 5.91025i −1.40765 + 0.248207i
\(568\) −15.0362 + 16.8746i −0.630907 + 0.708041i
\(569\) 23.6238i 0.990361i −0.868790 0.495181i \(-0.835102\pi\)
0.868790 0.495181i \(-0.164898\pi\)
\(570\) 34.4570 14.1180i 1.44324 0.591337i
\(571\) 23.3260i 0.976163i −0.872798 0.488082i \(-0.837697\pi\)
0.872798 0.488082i \(-0.162303\pi\)
\(572\) −10.1762 6.98568i −0.425486 0.292086i
\(573\) −16.7566 + 2.95464i −0.700018 + 0.123432i
\(574\) −2.77311 + 2.56484i −0.115747 + 0.107055i
\(575\) 6.26895 + 7.47105i 0.261433 + 0.311564i
\(576\) −44.6969 + 33.1877i −1.86237 + 1.38282i
\(577\) −15.3325 + 26.5567i −0.638302 + 1.10557i 0.347503 + 0.937679i \(0.387030\pi\)
−0.985805 + 0.167893i \(0.946304\pi\)
\(578\) 21.1790 8.88791i 0.880930 0.369688i
\(579\) −16.7494 46.0187i −0.696082 1.91247i
\(580\) 1.04433 + 10.7839i 0.0433635 + 0.447777i
\(581\) −8.68616 15.0449i −0.360363 0.624166i
\(582\) 16.7082 21.9849i 0.692577 0.911302i
\(583\) −0.781568 + 4.43249i −0.0323692 + 0.183575i
\(584\) 10.3471 + 31.2923i 0.428168 + 1.29488i
\(585\) −21.7221 + 25.8873i −0.898096 + 1.07031i
\(586\) 0.0812321 + 1.68155i 0.00335567 + 0.0694642i
\(587\) −5.84762 + 16.0662i −0.241357 + 0.663123i 0.758576 + 0.651584i \(0.225895\pi\)
−0.999933 + 0.0115389i \(0.996327\pi\)
\(588\) −22.2034 5.72921i −0.915651 0.236269i
\(589\) 9.17048 15.5775i 0.377863 0.641858i
\(590\) −2.33349 + 18.3830i −0.0960684 + 0.756814i
\(591\) 12.6397 + 4.60049i 0.519929 + 0.189239i
\(592\) 5.62030 + 1.92834i 0.230993 + 0.0792544i
\(593\) −4.15251 3.48437i −0.170523 0.143086i 0.553532 0.832828i \(-0.313280\pi\)
−0.724055 + 0.689742i \(0.757724\pi\)
\(594\) 36.1417 23.2611i 1.48291 0.954415i
\(595\) −3.01330 0.531326i −0.123533 0.0217822i
\(596\) −26.0197 + 26.5068i −1.06581 + 1.08576i
\(597\) −20.9445 + 12.0923i −0.857202 + 0.494906i
\(598\) 5.78739 + 25.5441i 0.236664 + 1.04458i
\(599\) −21.5337 + 7.83764i −0.879845 + 0.320237i −0.742147 0.670237i \(-0.766193\pi\)
−0.137698 + 0.990474i \(0.543970\pi\)
\(600\) −11.7999 + 1.72080i −0.481729 + 0.0702515i
\(601\) −11.7394 6.77773i −0.478859 0.276469i 0.241082 0.970505i \(-0.422498\pi\)
−0.719941 + 0.694035i \(0.755831\pi\)
\(602\) −20.3103 6.30041i −0.827784 0.256785i
\(603\) −14.7439 + 12.3716i −0.600418 + 0.503810i
\(604\) −6.32432 8.85612i −0.257333 0.360350i
\(605\) 1.68928 + 9.58038i 0.0686789 + 0.389498i
\(606\) 10.2163 19.8496i 0.415009 0.806333i
\(607\) −7.35854 −0.298674 −0.149337 0.988786i \(-0.547714\pi\)
−0.149337 + 0.988786i \(0.547714\pi\)
\(608\) 16.9241 + 17.9325i 0.686365 + 0.727258i
\(609\) −16.3875 −0.664054
\(610\) 13.8901 26.9875i 0.562394 1.09269i
\(611\) 1.10149 + 6.24688i 0.0445617 + 0.252722i
\(612\) 7.04618 + 9.86694i 0.284825 + 0.398847i
\(613\) −13.2122 + 11.0863i −0.533635 + 0.447773i −0.869354 0.494189i \(-0.835465\pi\)
0.335719 + 0.941962i \(0.391021\pi\)
\(614\) −29.3569 9.10674i −1.18475 0.367518i
\(615\) −7.61511 4.39659i −0.307071 0.177288i
\(616\) −12.4931 + 1.82188i −0.503359 + 0.0734058i
\(617\) 26.1889 9.53198i 1.05433 0.383743i 0.244032 0.969767i \(-0.421530\pi\)
0.810294 + 0.586024i \(0.199308\pi\)
\(618\) −15.0652 66.4940i −0.606011 2.67478i
\(619\) 1.02147 0.589747i 0.0410564 0.0237039i −0.479331 0.877634i \(-0.659121\pi\)
0.520388 + 0.853930i \(0.325787\pi\)
\(620\) 11.1215 11.3297i 0.446650 0.455012i
\(621\) −89.8161 15.8370i −3.60419 0.635517i
\(622\) 39.4174 25.3694i 1.58049 1.01722i
\(623\) 8.83007 + 7.40930i 0.353769 + 0.296848i
\(624\) −30.2911 10.3930i −1.21261 0.416052i
\(625\) 15.5381 + 5.65540i 0.621523 + 0.226216i
\(626\) −5.54684 + 43.6973i −0.221696 + 1.74649i
\(627\) −21.2915 25.8153i −0.850300 1.03096i
\(628\) −24.8650 6.41600i −0.992221 0.256026i
\(629\) 0.442605 1.21605i 0.0176478 0.0484870i
\(630\) 1.66785 + 34.5254i 0.0664487 + 1.37553i
\(631\) 30.4723 36.3155i 1.21308 1.44570i 0.352941 0.935646i \(-0.385182\pi\)
0.860144 0.510052i \(-0.170374\pi\)
\(632\) −4.64756 14.0553i −0.184870 0.559092i
\(633\) −11.1974 + 63.5038i −0.445058 + 2.52405i
\(634\) 9.72487 12.7961i 0.386224 0.508199i
\(635\) −2.99648 5.19006i −0.118912 0.205961i
\(636\) 1.12561 + 11.6232i 0.0446332 + 0.460888i
\(637\) −3.15246 8.66130i −0.124905 0.343173i
\(638\) 8.97769 3.76755i 0.355430 0.149159i
\(639\) 27.8038 48.1577i 1.09990 1.90509i
\(640\) 10.6179 + 18.8747i 0.419710 + 0.746089i
\(641\) 7.60426 + 9.06241i 0.300350 + 0.357944i 0.895020 0.446027i \(-0.147161\pi\)
−0.594669 + 0.803970i \(0.702717\pi\)
\(642\) 17.0415 15.7616i 0.672573 0.622062i
\(643\) 25.5305 4.50172i 1.00683 0.177531i 0.354167 0.935182i \(-0.384765\pi\)
0.652659 + 0.757652i \(0.273653\pi\)
\(644\) 22.0866 + 15.1619i 0.870334 + 0.597463i
\(645\) 49.5019i 1.94913i
\(646\) 3.97321 3.61284i 0.156324 0.142145i
\(647\) 16.7243i 0.657501i −0.944417 0.328751i \(-0.893372\pi\)
0.944417 0.328751i \(-0.106628\pi\)
\(648\) 34.9031 39.1703i 1.37112 1.53876i
\(649\) 16.3992 2.89163i 0.643727 0.113506i
\(650\) −3.25463 3.51890i −0.127657 0.138023i
\(651\) 15.4355 + 18.3953i 0.604964 + 0.720968i
\(652\) 35.4942 + 16.1522i 1.39006 + 0.632567i
\(653\) −3.05595 + 5.29306i −0.119588 + 0.207133i −0.919605 0.392845i \(-0.871491\pi\)
0.800016 + 0.599978i \(0.204824\pi\)
\(654\) −1.42447 3.39436i −0.0557011 0.132730i
\(655\) −6.44744 17.7142i −0.251922 0.692151i
\(656\) 0.904567 5.75197i 0.0353174 0.224577i
\(657\) −40.5445 70.2251i −1.58179 2.73974i
\(658\) 5.16569 + 3.92585i 0.201379 + 0.153045i
\(659\) −8.40615 + 47.6737i −0.327457 + 1.85710i 0.164355 + 0.986401i \(0.447446\pi\)
−0.491812 + 0.870701i \(0.663665\pi\)
\(660\) −12.6671 26.5197i −0.493065 1.03228i
\(661\) 14.9228 17.7843i 0.580430 0.691729i −0.393307 0.919407i \(-0.628669\pi\)
0.973736 + 0.227678i \(0.0731134\pi\)
\(662\) 1.60997 0.0777740i 0.0625731 0.00302277i
\(663\) −2.38546 + 6.55399i −0.0926435 + 0.254536i
\(664\) 24.8805 + 9.90262i 0.965549 + 0.384296i
\(665\) 15.0992 2.53069i 0.585521 0.0981359i
\(666\) −14.5027 1.84094i −0.561967 0.0713349i
\(667\) −19.4137 7.06601i −0.751702 0.273597i
\(668\) −3.47556 + 44.4724i −0.134473 + 1.72069i
\(669\) 24.6057 + 20.6466i 0.951310 + 0.798244i
\(670\) 4.05207 + 6.29585i 0.156545 + 0.243230i
\(671\) −26.8614 4.73638i −1.03697 0.182846i
\(672\) −29.9640 + 13.2335i −1.15589 + 0.510492i
\(673\) 22.5139 12.9984i 0.867848 0.501052i 0.00121569 0.999999i \(-0.499613\pi\)
0.866633 + 0.498947i \(0.166280\pi\)
\(674\) −25.5140 + 5.78057i −0.982762 + 0.222659i
\(675\) 15.6841 5.70853i 0.603680 0.219721i
\(676\) 3.51510 + 12.6481i 0.135196 + 0.486467i
\(677\) 38.3495 + 22.1411i 1.47389 + 0.850952i 0.999568 0.0293990i \(-0.00935935\pi\)
0.474324 + 0.880351i \(0.342693\pi\)
\(678\) 9.79290 31.5688i 0.376094 1.21239i
\(679\) 8.69695 7.29761i 0.333758 0.280056i
\(680\) 4.15291 2.23584i 0.159257 0.0857405i
\(681\) 7.09095 + 40.2148i 0.271726 + 1.54103i
\(682\) −12.6853 6.52897i −0.485745 0.250007i
\(683\) 37.9898 1.45364 0.726819 0.686829i \(-0.240998\pi\)
0.726819 + 0.686829i \(0.240998\pi\)
\(684\) −49.7225 34.7566i −1.90119 1.32895i
\(685\) 32.5359 1.24313
\(686\) −24.5336 12.6271i −0.936696 0.482106i
\(687\) 7.80519 + 44.2654i 0.297787 + 1.68883i
\(688\) 30.5891 11.7805i 1.16620 0.449128i
\(689\) −3.59573 + 3.01717i −0.136986 + 0.114945i
\(690\) −18.4769 + 59.5630i −0.703405 + 2.26753i
\(691\) −0.0712585 0.0411411i −0.00271080 0.00156508i 0.498644 0.866807i \(-0.333832\pi\)
−0.501355 + 0.865242i \(0.667165\pi\)
\(692\) −42.2100 + 11.7308i −1.60458 + 0.445937i
\(693\) 29.1888 10.6239i 1.10879 0.403567i
\(694\) 24.6623 5.58760i 0.936167 0.212102i
\(695\) −15.7348 + 9.08450i −0.596856 + 0.344595i
\(696\) 19.8247 15.6550i 0.751454 0.593400i
\(697\) −1.24886 0.220207i −0.0473038 0.00834093i
\(698\) −7.27454 11.3027i −0.275346 0.427815i
\(699\) 38.9845 + 32.7119i 1.47453 + 1.23728i
\(700\) −4.88787 0.381991i −0.184744 0.0144379i
\(701\) 6.42635 + 2.33900i 0.242720 + 0.0883428i 0.460516 0.887652i \(-0.347664\pi\)
−0.217796 + 0.975994i \(0.569887\pi\)
\(702\) 44.4667 + 5.64450i 1.67829 + 0.213038i
\(703\) −0.0548558 + 6.47482i −0.00206893 + 0.244202i
\(704\) 13.3730 14.1387i 0.504014 0.532871i
\(705\) −5.16572 + 14.1927i −0.194552 + 0.534528i
\(706\) 16.2041 0.782784i 0.609848 0.0294605i
\(707\) 5.89984 7.03116i 0.221886 0.264434i
\(708\) 38.9854 18.6213i 1.46516 0.699831i
\(709\) −3.47480 + 19.7066i −0.130499 + 0.740096i 0.847390 + 0.530971i \(0.178173\pi\)
−0.977889 + 0.209125i \(0.932938\pi\)
\(710\) −17.2225 13.0888i −0.646348 0.491215i
\(711\) 18.2111 + 31.5425i 0.682969 + 1.18294i
\(712\) −17.7603 0.528025i −0.665595 0.0197886i
\(713\) 10.3542 + 28.4478i 0.387766 + 1.06538i
\(714\) 2.76059 + 6.57820i 0.103312 + 0.246183i
\(715\) 5.90671 10.2307i 0.220898 0.382607i
\(716\) 8.24205 18.1118i 0.308020 0.676870i
\(717\) −43.1273 51.3972i −1.61062 1.91946i
\(718\) 24.1958 + 26.1605i 0.902980 + 0.976302i
\(719\) 16.0253 2.82569i 0.597642 0.105380i 0.133360 0.991068i \(-0.457423\pi\)
0.464282 + 0.885687i \(0.346312\pi\)
\(720\) −34.9998 40.1738i −1.30437 1.49719i
\(721\) 28.0315i 1.04395i
\(722\) −12.6996 + 23.6795i −0.472630 + 0.881261i
\(723\) 17.5927i 0.654280i
\(724\) −4.52488 + 6.59147i −0.168166 + 0.244970i
\(725\) 3.72344 0.656543i 0.138285 0.0243834i
\(726\) 16.6513 15.4008i 0.617988 0.571576i
\(727\) 1.48698 + 1.77212i 0.0551491 + 0.0657242i 0.792914 0.609334i \(-0.208563\pi\)
−0.737765 + 0.675058i \(0.764119\pi\)
\(728\) −11.2020 6.91927i −0.415172 0.256445i
\(729\) −5.40168 + 9.35598i −0.200062 + 0.346518i
\(730\) −29.0867 + 12.2064i −1.07655 + 0.451779i
\(731\) −2.44168 6.70845i −0.0903087 0.248121i
\(732\) −70.4375 + 6.82129i −2.60345 + 0.252122i
\(733\) 7.32768 + 12.6919i 0.270654 + 0.468786i 0.969029 0.246945i \(-0.0794268\pi\)
−0.698376 + 0.715732i \(0.746093\pi\)
\(734\) −6.02255 + 7.92455i −0.222296 + 0.292501i
\(735\) 3.81096 21.6131i 0.140570 0.797210i
\(736\) −41.2034 + 2.75727i −1.51878 + 0.101634i
\(737\) 4.32482 5.15412i 0.159307 0.189855i
\(738\) 0.691236 + 14.3090i 0.0254447 + 0.526721i
\(739\) −1.64645 + 4.52359i −0.0605657 + 0.166403i −0.966285 0.257475i \(-0.917109\pi\)
0.905719 + 0.423878i \(0.139332\pi\)
\(740\) −1.42087 + 5.50653i −0.0522322 + 0.202424i
\(741\) 0.295650 34.8965i 0.0108610 1.28196i
\(742\) −0.604595 + 4.76292i −0.0221954 + 0.174852i
\(743\) −39.1760 14.2589i −1.43723 0.523108i −0.498233 0.867043i \(-0.666018\pi\)
−0.938993 + 0.343935i \(0.888240\pi\)
\(744\) −36.2461 7.50814i −1.32885 0.275262i
\(745\) −27.2323 22.8506i −0.997716 0.837183i
\(746\) 38.6780 24.8935i 1.41610 0.911416i
\(747\) −64.8834 11.4407i −2.37396 0.418593i
\(748\) −3.02471 2.96912i −0.110594 0.108562i
\(749\) 8.26522 4.77193i 0.302005 0.174362i
\(750\) −11.9601 52.7889i −0.436721 1.92758i
\(751\) −10.4064 + 3.78761i −0.379734 + 0.138212i −0.524833 0.851205i \(-0.675872\pi\)
0.145099 + 0.989417i \(0.453650\pi\)
\(752\) −9.99955 + 0.185497i −0.364646 + 0.00676438i
\(753\) 25.1219 + 14.5042i 0.915494 + 0.528561i
\(754\) 9.69784 + 3.00835i 0.353174 + 0.109558i
\(755\) 7.97866 6.69489i 0.290373 0.243652i
\(756\) 37.3107 26.6443i 1.35698 0.969044i
\(757\) 0.827186 + 4.69120i 0.0300646 + 0.170505i 0.996143 0.0877439i \(-0.0279657\pi\)
−0.966078 + 0.258249i \(0.916855\pi\)
\(758\) −15.1731 + 29.4802i −0.551111 + 1.07077i
\(759\) 56.0420 2.03419
\(760\) −15.8486 + 17.4858i −0.574891 + 0.634275i
\(761\) −1.17846 −0.0427193 −0.0213597 0.999772i \(-0.506800\pi\)
−0.0213597 + 0.999772i \(0.506800\pi\)
\(762\) −6.39436 + 12.4238i −0.231643 + 0.450066i
\(763\) −0.262813 1.49048i −0.00951446 0.0539592i
\(764\) 8.77559 6.26682i 0.317490 0.226726i
\(765\) −8.88934 + 7.45904i −0.321395 + 0.269682i
\(766\) 29.2262 + 9.06622i 1.05599 + 0.327576i
\(767\) 15.0397 + 8.68318i 0.543053 + 0.313532i
\(768\) 23.6070 44.6338i 0.851843 1.61058i
\(769\) −16.7613 + 6.10062i −0.604429 + 0.219994i −0.626064 0.779772i \(-0.715335\pi\)
0.0216350 + 0.999766i \(0.493113\pi\)
\(770\) −2.66999 11.7847i −0.0962198 0.424690i
\(771\) −49.2826 + 28.4533i −1.77487 + 1.02472i
\(772\) 22.1487 + 21.7417i 0.797151 + 0.782500i
\(773\) −28.7474 5.06894i −1.03397