Properties

Label 144.2.u.a.83.21
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.21
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24823 - 0.664769i) q^{2} +(0.517369 + 1.65298i) q^{3} +(1.11616 - 1.65957i) q^{4} +(-0.521033 + 1.94452i) q^{5} +(1.74464 + 1.71937i) q^{6} +(-0.322227 + 0.558114i) q^{7} +(0.290001 - 2.81352i) q^{8} +(-2.46466 + 1.71040i) q^{9} +O(q^{10})\) \(q+(1.24823 - 0.664769i) q^{2} +(0.517369 + 1.65298i) q^{3} +(1.11616 - 1.65957i) q^{4} +(-0.521033 + 1.94452i) q^{5} +(1.74464 + 1.71937i) q^{6} +(-0.322227 + 0.558114i) q^{7} +(0.290001 - 2.81352i) q^{8} +(-2.46466 + 1.71040i) q^{9} +(0.642288 + 2.77358i) q^{10} +(-1.49911 - 5.59477i) q^{11} +(3.32070 + 0.986382i) q^{12} +(0.530209 - 1.97877i) q^{13} +(-0.0311975 + 0.910862i) q^{14} +(-3.48381 + 0.144781i) q^{15} +(-1.50835 - 3.70471i) q^{16} +3.05892i q^{17} +(-1.93944 + 3.77340i) q^{18} +(4.11098 - 4.11098i) q^{19} +(2.64551 + 3.03510i) q^{20} +(-1.08926 - 0.243883i) q^{21} +(-5.59047 - 5.98700i) q^{22} +(-7.05832 + 4.07512i) q^{23} +(4.80072 - 0.976265i) q^{24} +(0.820436 + 0.473679i) q^{25} +(-0.653599 - 2.82243i) q^{26} +(-4.10239 - 3.18911i) q^{27} +(0.566571 + 1.15771i) q^{28} +(1.20343 + 4.49126i) q^{29} +(-4.25236 + 2.49665i) q^{30} +(-0.147988 + 0.0854411i) q^{31} +(-4.34555 - 3.62163i) q^{32} +(8.47242 - 5.37256i) q^{33} +(2.03348 + 3.81824i) q^{34} +(-0.917373 - 0.917373i) q^{35} +(0.0875629 + 5.99936i) q^{36} +(-2.65918 + 2.65918i) q^{37} +(2.39861 - 7.86431i) q^{38} +(3.54517 - 0.147331i) q^{39} +(5.31985 + 2.02985i) q^{40} +(-0.983212 - 1.70297i) q^{41} +(-1.52177 + 0.419683i) q^{42} +(0.821783 - 0.220196i) q^{43} +(-10.9582 - 3.75680i) q^{44} +(-2.04174 - 5.68376i) q^{45} +(-6.10141 + 9.77885i) q^{46} +(-4.02475 + 6.97107i) q^{47} +(5.34342 - 4.40997i) q^{48} +(3.29234 + 5.70250i) q^{49} +(1.33898 + 0.0458608i) q^{50} +(-5.05632 + 1.58259i) q^{51} +(-2.69210 - 3.08855i) q^{52} +(3.25765 + 3.25765i) q^{53} +(-7.24075 - 1.25361i) q^{54} +11.6602 q^{55} +(1.47682 + 1.06845i) q^{56} +(8.92225 + 4.66846i) q^{57} +(4.48781 + 4.80613i) q^{58} +(0.506879 + 0.135818i) q^{59} +(-3.64824 + 5.94324i) q^{60} +(3.00682 - 0.805675i) q^{61} +(-0.127925 + 0.205028i) q^{62} +(-0.160417 - 1.92670i) q^{63} +(-7.83180 - 1.63185i) q^{64} +(3.57150 + 2.06201i) q^{65} +(7.00403 - 12.3384i) q^{66} +(-2.17814 - 0.583631i) q^{67} +(5.07650 + 3.41426i) q^{68} +(-10.3878 - 9.55889i) q^{69} +(-1.75494 - 0.535253i) q^{70} -15.3137i q^{71} +(4.09749 + 7.43038i) q^{72} -9.33784i q^{73} +(-1.55153 + 5.08701i) q^{74} +(-0.358511 + 1.60123i) q^{75} +(-2.23393 - 11.4110i) q^{76} +(3.60557 + 0.966110i) q^{77} +(4.32725 - 2.54062i) q^{78} +(9.44301 + 5.45193i) q^{79} +(7.98979 - 1.00275i) q^{80} +(3.14908 - 8.43109i) q^{81} +(-2.35936 - 1.47210i) q^{82} +(12.3625 - 3.31253i) q^{83} +(-1.62053 + 1.53549i) q^{84} +(-5.94814 - 1.59380i) q^{85} +(0.879396 - 0.821151i) q^{86} +(-6.80132 + 4.31288i) q^{87} +(-16.1757 + 2.59530i) q^{88} +3.86733 q^{89} +(-6.32695 - 5.73736i) q^{90} +(0.933529 + 0.933529i) q^{91} +(-1.11529 + 16.2623i) q^{92} +(-0.217797 - 0.200417i) q^{93} +(-0.389669 + 11.3770i) q^{94} +(5.85194 + 10.1359i) q^{95} +(3.73821 - 9.05681i) q^{96} +(-7.33044 + 12.6967i) q^{97} +(7.90045 + 4.92940i) q^{98} +(13.2641 + 11.2251i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24823 0.664769i 0.882633 0.470063i
\(3\) 0.517369 + 1.65298i 0.298703 + 0.954346i
\(4\) 1.11616 1.65957i 0.558082 0.829786i
\(5\) −0.521033 + 1.94452i −0.233013 + 0.869617i 0.746021 + 0.665922i \(0.231962\pi\)
−0.979034 + 0.203695i \(0.934705\pi\)
\(6\) 1.74464 + 1.71937i 0.712248 + 0.701928i
\(7\) −0.322227 + 0.558114i −0.121790 + 0.210947i −0.920474 0.390804i \(-0.872197\pi\)
0.798683 + 0.601751i \(0.205530\pi\)
\(8\) 0.290001 2.81352i 0.102531 0.994730i
\(9\) −2.46466 + 1.71040i −0.821553 + 0.570133i
\(10\) 0.642288 + 2.77358i 0.203109 + 0.877083i
\(11\) −1.49911 5.59477i −0.452000 1.68689i −0.696762 0.717303i \(-0.745377\pi\)
0.244762 0.969583i \(-0.421290\pi\)
\(12\) 3.32070 + 0.986382i 0.958604 + 0.284744i
\(13\) 0.530209 1.97877i 0.147054 0.548811i −0.852602 0.522561i \(-0.824977\pi\)
0.999655 0.0262502i \(-0.00835665\pi\)
\(14\) −0.0311975 + 0.910862i −0.00833787 + 0.243438i
\(15\) −3.48381 + 0.144781i −0.899517 + 0.0373823i
\(16\) −1.50835 3.70471i −0.377088 0.926177i
\(17\) 3.05892i 0.741898i 0.928653 + 0.370949i \(0.120967\pi\)
−0.928653 + 0.370949i \(0.879033\pi\)
\(18\) −1.93944 + 3.77340i −0.457132 + 0.889399i
\(19\) 4.11098 4.11098i 0.943124 0.943124i −0.0553434 0.998467i \(-0.517625\pi\)
0.998467 + 0.0553434i \(0.0176254\pi\)
\(20\) 2.64551 + 3.03510i 0.591555 + 0.678669i
\(21\) −1.08926 0.243883i −0.237696 0.0532196i
\(22\) −5.59047 5.98700i −1.19189 1.27643i
\(23\) −7.05832 + 4.07512i −1.47176 + 0.849722i −0.999496 0.0317341i \(-0.989897\pi\)
−0.472266 + 0.881456i \(0.656564\pi\)
\(24\) 4.80072 0.976265i 0.979943 0.199279i
\(25\) 0.820436 + 0.473679i 0.164087 + 0.0947357i
\(26\) −0.653599 2.82243i −0.128181 0.553523i
\(27\) −4.10239 3.18911i −0.789504 0.613745i
\(28\) 0.566571 + 1.15771i 0.107072 + 0.218786i
\(29\) 1.20343 + 4.49126i 0.223471 + 0.834006i 0.983011 + 0.183545i \(0.0587574\pi\)
−0.759540 + 0.650460i \(0.774576\pi\)
\(30\) −4.25236 + 2.49665i −0.776372 + 0.455824i
\(31\) −0.147988 + 0.0854411i −0.0265795 + 0.0153457i −0.513231 0.858251i \(-0.671552\pi\)
0.486651 + 0.873596i \(0.338218\pi\)
\(32\) −4.34555 3.62163i −0.768192 0.640220i
\(33\) 8.47242 5.37256i 1.47486 0.935242i
\(34\) 2.03348 + 3.81824i 0.348738 + 0.654823i
\(35\) −0.917373 0.917373i −0.155064 0.155064i
\(36\) 0.0875629 + 5.99936i 0.0145938 + 0.999894i
\(37\) −2.65918 + 2.65918i −0.437167 + 0.437167i −0.891057 0.453891i \(-0.850036\pi\)
0.453891 + 0.891057i \(0.350036\pi\)
\(38\) 2.39861 7.86431i 0.389105 1.27576i
\(39\) 3.54517 0.147331i 0.567681 0.0235918i
\(40\) 5.31985 + 2.02985i 0.841143 + 0.320948i
\(41\) −0.983212 1.70297i −0.153552 0.265960i 0.778979 0.627050i \(-0.215738\pi\)
−0.932531 + 0.361090i \(0.882405\pi\)
\(42\) −1.52177 + 0.419683i −0.234815 + 0.0647585i
\(43\) 0.821783 0.220196i 0.125321 0.0335796i −0.195614 0.980681i \(-0.562670\pi\)
0.320934 + 0.947101i \(0.396003\pi\)
\(44\) −10.9582 3.75680i −1.65201 0.566358i
\(45\) −2.04174 5.68376i −0.304364 0.847284i
\(46\) −6.10141 + 9.77885i −0.899603 + 1.44181i
\(47\) −4.02475 + 6.97107i −0.587070 + 1.01684i 0.407544 + 0.913186i \(0.366385\pi\)
−0.994614 + 0.103650i \(0.966948\pi\)
\(48\) 5.34342 4.40997i 0.771256 0.636525i
\(49\) 3.29234 + 5.70250i 0.470334 + 0.814643i
\(50\) 1.33898 + 0.0458608i 0.189360 + 0.00648569i
\(51\) −5.05632 + 1.58259i −0.708027 + 0.221607i
\(52\) −2.69210 3.08855i −0.373328 0.428305i
\(53\) 3.25765 + 3.25765i 0.447473 + 0.447473i 0.894514 0.447041i \(-0.147522\pi\)
−0.447041 + 0.894514i \(0.647522\pi\)
\(54\) −7.24075 1.25361i −0.985341 0.170595i
\(55\) 11.6602 1.57227
\(56\) 1.47682 + 1.06845i 0.197348 + 0.142777i
\(57\) 8.92225 + 4.66846i 1.18178 + 0.618352i
\(58\) 4.48781 + 4.80613i 0.589278 + 0.631076i
\(59\) 0.506879 + 0.135818i 0.0659900 + 0.0176820i 0.291663 0.956521i \(-0.405791\pi\)
−0.225673 + 0.974203i \(0.572458\pi\)
\(60\) −3.64824 + 5.94324i −0.470985 + 0.767269i
\(61\) 3.00682 0.805675i 0.384984 0.103156i −0.0611358 0.998129i \(-0.519472\pi\)
0.446120 + 0.894973i \(0.352806\pi\)
\(62\) −0.127925 + 0.205028i −0.0162465 + 0.0260386i
\(63\) −0.160417 1.92670i −0.0202106 0.242741i
\(64\) −7.83180 1.63185i −0.978975 0.203981i
\(65\) 3.57150 + 2.06201i 0.442990 + 0.255760i
\(66\) 7.00403 12.3384i 0.862137 1.51875i
\(67\) −2.17814 0.583631i −0.266102 0.0713019i 0.123301 0.992369i \(-0.460652\pi\)
−0.389403 + 0.921067i \(0.627319\pi\)
\(68\) 5.07650 + 3.41426i 0.615616 + 0.414040i
\(69\) −10.3878 9.55889i −1.25055 1.15076i
\(70\) −1.75494 0.535253i −0.209755 0.0639750i
\(71\) 15.3137i 1.81741i −0.417442 0.908704i \(-0.637073\pi\)
0.417442 0.908704i \(-0.362927\pi\)
\(72\) 4.09749 + 7.43038i 0.482893 + 0.875679i
\(73\) 9.33784i 1.09291i −0.837488 0.546456i \(-0.815977\pi\)
0.837488 0.546456i \(-0.184023\pi\)
\(74\) −1.55153 + 5.08701i −0.180362 + 0.591353i
\(75\) −0.358511 + 1.60123i −0.0413973 + 0.184894i
\(76\) −2.23393 11.4110i −0.256250 1.30893i
\(77\) 3.60557 + 0.966110i 0.410893 + 0.110098i
\(78\) 4.32725 2.54062i 0.489965 0.287669i
\(79\) 9.44301 + 5.45193i 1.06242 + 0.613390i 0.926101 0.377275i \(-0.123139\pi\)
0.136321 + 0.990665i \(0.456472\pi\)
\(80\) 7.98979 1.00275i 0.893286 0.112111i
\(81\) 3.14908 8.43109i 0.349897 0.936788i
\(82\) −2.35936 1.47210i −0.260548 0.162566i
\(83\) 12.3625 3.31253i 1.35697 0.363598i 0.494264 0.869312i \(-0.335437\pi\)
0.862701 + 0.505714i \(0.168771\pi\)
\(84\) −1.62053 + 1.53549i −0.176815 + 0.167536i
\(85\) −5.94814 1.59380i −0.645167 0.172872i
\(86\) 0.879396 0.821151i 0.0948277 0.0885470i
\(87\) −6.80132 + 4.31288i −0.729178 + 0.462389i
\(88\) −16.1757 + 2.59530i −1.72434 + 0.276660i
\(89\) 3.86733 0.409936 0.204968 0.978769i \(-0.434291\pi\)
0.204968 + 0.978769i \(0.434291\pi\)
\(90\) −6.32695 5.73736i −0.666919 0.604771i
\(91\) 0.933529 + 0.933529i 0.0978604 + 0.0978604i
\(92\) −1.11529 + 16.2623i −0.116277 + 1.69546i
\(93\) −0.217797 0.200417i −0.0225845 0.0207822i
\(94\) −0.389669 + 11.3770i −0.0401913 + 1.17345i
\(95\) 5.85194 + 10.1359i 0.600396 + 1.03992i
\(96\) 3.73821 9.05681i 0.381530 0.924357i
\(97\) −7.33044 + 12.6967i −0.744293 + 1.28915i 0.206231 + 0.978503i \(0.433880\pi\)
−0.950524 + 0.310650i \(0.899453\pi\)
\(98\) 7.90045 + 4.92940i 0.798066 + 0.497944i
\(99\) 13.2641 + 11.2251i 1.33309 + 1.12817i
\(100\) 1.70184 0.832868i 0.170184 0.0832868i
\(101\) −2.35695 + 0.631544i −0.234526 + 0.0628410i −0.374168 0.927361i \(-0.622072\pi\)
0.139642 + 0.990202i \(0.455405\pi\)
\(102\) −5.25941 + 5.33673i −0.520759 + 0.528415i
\(103\) 2.00255 + 3.46852i 0.197317 + 0.341763i 0.947658 0.319288i \(-0.103444\pi\)
−0.750341 + 0.661051i \(0.770110\pi\)
\(104\) −5.41354 2.06560i −0.530841 0.202549i
\(105\) 1.04178 1.99102i 0.101667 0.194303i
\(106\) 6.23189 + 1.90072i 0.605294 + 0.184614i
\(107\) 1.96059 1.96059i 0.189537 0.189537i −0.605959 0.795496i \(-0.707210\pi\)
0.795496 + 0.605959i \(0.207210\pi\)
\(108\) −9.87150 + 3.24862i −0.949885 + 0.312599i
\(109\) −10.8066 10.8066i −1.03509 1.03509i −0.999362 0.0357265i \(-0.988625\pi\)
−0.0357265 0.999362i \(-0.511375\pi\)
\(110\) 14.5547 7.75136i 1.38773 0.739063i
\(111\) −5.77134 3.01978i −0.547791 0.286625i
\(112\) 2.55368 + 0.351926i 0.241300 + 0.0332538i
\(113\) −5.23197 + 3.02068i −0.492183 + 0.284162i −0.725479 0.688244i \(-0.758382\pi\)
0.233297 + 0.972406i \(0.425049\pi\)
\(114\) 14.2405 0.103917i 1.33374 0.00973272i
\(115\) −4.24655 15.8483i −0.395993 1.47787i
\(116\) 8.79679 + 3.01581i 0.816761 + 0.280011i
\(117\) 2.07770 + 5.78385i 0.192083 + 0.534717i
\(118\) 0.722990 0.167425i 0.0665566 0.0154127i
\(119\) −1.70723 0.985668i −0.156501 0.0903560i
\(120\) −0.602966 + 9.84377i −0.0550430 + 0.898609i
\(121\) −19.5278 + 11.2744i −1.77525 + 1.02494i
\(122\) 3.21762 3.00451i 0.291310 0.272016i
\(123\) 2.30629 2.50629i 0.207951 0.225985i
\(124\) −0.0233838 + 0.340964i −0.00209993 + 0.0306194i
\(125\) −8.46600 + 8.46600i −0.757222 + 0.757222i
\(126\) −1.48104 2.29832i −0.131942 0.204751i
\(127\) 5.90485i 0.523971i −0.965072 0.261985i \(-0.915623\pi\)
0.965072 0.261985i \(-0.0843772\pi\)
\(128\) −10.8607 + 3.16941i −0.959959 + 0.280139i
\(129\) 0.789144 + 1.24446i 0.0694802 + 0.109569i
\(130\) 5.82882 + 0.199640i 0.511221 + 0.0175096i
\(131\) −0.417733 + 1.55900i −0.0364975 + 0.136211i −0.981771 0.190070i \(-0.939129\pi\)
0.945273 + 0.326280i \(0.105795\pi\)
\(132\) 0.540472 20.0572i 0.0470420 1.74576i
\(133\) 0.969725 + 3.61906i 0.0840859 + 0.313813i
\(134\) −3.10681 + 0.719454i −0.268387 + 0.0621513i
\(135\) 8.33878 6.31555i 0.717688 0.543556i
\(136\) 8.60634 + 0.887091i 0.737988 + 0.0760674i
\(137\) 5.55314 9.61831i 0.474436 0.821748i −0.525135 0.851019i \(-0.675985\pi\)
0.999572 + 0.0292708i \(0.00931852\pi\)
\(138\) −19.3209 5.02620i −1.64470 0.427858i
\(139\) −2.99230 + 11.1674i −0.253803 + 0.947207i 0.714949 + 0.699177i \(0.246450\pi\)
−0.968752 + 0.248030i \(0.920217\pi\)
\(140\) −2.54639 + 0.498507i −0.215209 + 0.0421315i
\(141\) −13.6053 3.04620i −1.14577 0.256536i
\(142\) −10.1801 19.1151i −0.854295 1.60410i
\(143\) −11.8656 −0.992250
\(144\) 10.0541 + 6.55096i 0.837842 + 0.545913i
\(145\) −9.36038 −0.777337
\(146\) −6.20751 11.6558i −0.513737 0.964640i
\(147\) −7.72274 + 8.39246i −0.636961 + 0.692198i
\(148\) 1.44502 + 7.38118i 0.118780 + 0.606730i
\(149\) 5.70216 21.2808i 0.467139 1.74339i −0.182558 0.983195i \(-0.558438\pi\)
0.649698 0.760193i \(-0.274896\pi\)
\(150\) 0.616941 + 2.23703i 0.0503730 + 0.182653i
\(151\) −8.13154 + 14.0842i −0.661735 + 1.14616i 0.318425 + 0.947948i \(0.396846\pi\)
−0.980160 + 0.198210i \(0.936487\pi\)
\(152\) −10.3741 12.7585i −0.841454 1.03485i
\(153\) −5.23197 7.53920i −0.422980 0.609508i
\(154\) 5.14283 1.19094i 0.414421 0.0959689i
\(155\) −0.0890353 0.332284i −0.00715149 0.0266897i
\(156\) 3.71249 6.04790i 0.297237 0.484220i
\(157\) 6.15846 22.9837i 0.491499 1.83430i −0.0573183 0.998356i \(-0.518255\pi\)
0.548817 0.835942i \(-0.315078\pi\)
\(158\) 15.4113 + 0.527846i 1.22606 + 0.0419932i
\(159\) −3.69941 + 7.07023i −0.293382 + 0.560705i
\(160\) 9.30652 6.56303i 0.735745 0.518853i
\(161\) 5.25246i 0.413952i
\(162\) −1.67395 12.6174i −0.131518 0.991314i
\(163\) −11.4188 + 11.4188i −0.894390 + 0.894390i −0.994933 0.100543i \(-0.967942\pi\)
0.100543 + 0.994933i \(0.467942\pi\)
\(164\) −3.92363 0.269088i −0.306384 0.0210123i
\(165\) 6.03265 + 19.2741i 0.469641 + 1.50049i
\(166\) 13.2293 12.3530i 1.02679 0.958782i
\(167\) 0.427233 0.246663i 0.0330603 0.0190874i −0.483379 0.875411i \(-0.660591\pi\)
0.516439 + 0.856324i \(0.327257\pi\)
\(168\) −1.00206 + 2.99393i −0.0773102 + 0.230986i
\(169\) 7.62393 + 4.40168i 0.586456 + 0.338591i
\(170\) −8.48417 + 1.96471i −0.650706 + 0.150686i
\(171\) −3.10075 + 17.1636i −0.237120 + 1.31253i
\(172\) 0.551814 1.60958i 0.0420754 0.122729i
\(173\) 5.30952 + 19.8154i 0.403675 + 1.50654i 0.806486 + 0.591254i \(0.201367\pi\)
−0.402810 + 0.915284i \(0.631967\pi\)
\(174\) −5.62256 + 9.90478i −0.426245 + 0.750879i
\(175\) −0.528733 + 0.305264i −0.0399685 + 0.0230758i
\(176\) −18.4658 + 13.9927i −1.39191 + 1.05474i
\(177\) 0.0377401 + 0.908126i 0.00283672 + 0.0682590i
\(178\) 4.82732 2.57088i 0.361823 0.192696i
\(179\) −7.49467 7.49467i −0.560178 0.560178i 0.369180 0.929358i \(-0.379639\pi\)
−0.929358 + 0.369180i \(0.879639\pi\)
\(180\) −11.7115 2.95560i −0.872925 0.220297i
\(181\) 0.879477 0.879477i 0.0653710 0.0653710i −0.673665 0.739036i \(-0.735281\pi\)
0.739036 + 0.673665i \(0.235281\pi\)
\(182\) 1.78584 + 0.544680i 0.132375 + 0.0403743i
\(183\) 2.88740 + 4.55337i 0.213443 + 0.336595i
\(184\) 9.41853 + 21.0405i 0.694343 + 1.55113i
\(185\) −3.78532 6.55636i −0.278302 0.482033i
\(186\) −0.405091 0.105382i −0.0297027 0.00772697i
\(187\) 17.1140 4.58567i 1.25150 0.335337i
\(188\) 7.07670 + 14.4602i 0.516122 + 1.05462i
\(189\) 3.10179 1.26198i 0.225622 0.0917954i
\(190\) 14.0426 + 8.76171i 1.01876 + 0.635641i
\(191\) 3.97558 6.88590i 0.287663 0.498246i −0.685589 0.727989i \(-0.740455\pi\)
0.973251 + 0.229743i \(0.0737885\pi\)
\(192\) −1.35453 13.7900i −0.0977546 0.995211i
\(193\) −2.95444 5.11723i −0.212665 0.368346i 0.739883 0.672736i \(-0.234881\pi\)
−0.952548 + 0.304389i \(0.901548\pi\)
\(194\) −0.709720 + 20.7215i −0.0509549 + 1.48771i
\(195\) −1.56066 + 6.97042i −0.111761 + 0.499162i
\(196\) 13.1385 + 0.901057i 0.938464 + 0.0643612i
\(197\) 11.6691 + 11.6691i 0.831390 + 0.831390i 0.987707 0.156317i \(-0.0499620\pi\)
−0.156317 + 0.987707i \(0.549962\pi\)
\(198\) 24.0187 + 5.19399i 1.70694 + 0.369121i
\(199\) 0.633451 0.0449041 0.0224521 0.999748i \(-0.492853\pi\)
0.0224521 + 0.999748i \(0.492853\pi\)
\(200\) 1.57063 2.17095i 0.111060 0.153509i
\(201\) −0.162175 3.90237i −0.0114390 0.275252i
\(202\) −2.52219 + 2.35514i −0.177461 + 0.165707i
\(203\) −2.89441 0.775555i −0.203148 0.0544333i
\(204\) −3.01727 + 10.1578i −0.211251 + 0.711186i
\(205\) 3.82376 1.02457i 0.267063 0.0715592i
\(206\) 4.80541 + 2.99828i 0.334809 + 0.208900i
\(207\) 10.4263 22.1163i 0.724676 1.53719i
\(208\) −8.13050 + 1.02041i −0.563749 + 0.0707525i
\(209\) −29.1628 16.8372i −2.01723 1.16465i
\(210\) −0.0231893 3.17779i −0.00160021 0.219288i
\(211\) −20.6854 5.54263i −1.42404 0.381570i −0.537125 0.843503i \(-0.680490\pi\)
−0.886915 + 0.461932i \(0.847156\pi\)
\(212\) 9.04238 1.77023i 0.621033 0.121580i
\(213\) 25.3133 7.92286i 1.73444 0.542866i
\(214\) 1.14393 3.75061i 0.0781975 0.256386i
\(215\) 1.71270i 0.116805i
\(216\) −10.1623 + 10.6173i −0.691459 + 0.722416i
\(217\) 0.110126i 0.00747582i
\(218\) −20.6731 6.30527i −1.40016 0.427047i
\(219\) 15.4352 4.83111i 1.04302 0.326456i
\(220\) 13.0147 19.3510i 0.877454 1.30464i
\(221\) 6.05289 + 1.62187i 0.407162 + 0.109099i
\(222\) −9.21143 + 0.0672185i −0.618231 + 0.00451141i
\(223\) 13.1779 + 7.60824i 0.882455 + 0.509485i 0.871467 0.490454i \(-0.163169\pi\)
0.0109877 + 0.999940i \(0.496502\pi\)
\(224\) 3.42153 1.25832i 0.228611 0.0840752i
\(225\) −2.83227 + 0.235815i −0.188818 + 0.0157210i
\(226\) −4.52266 + 7.24856i −0.300843 + 0.482167i
\(227\) 14.5596 3.90123i 0.966353 0.258934i 0.259066 0.965860i \(-0.416585\pi\)
0.707287 + 0.706926i \(0.249919\pi\)
\(228\) 17.7063 9.59634i 1.17263 0.635533i
\(229\) 10.3931 + 2.78483i 0.686796 + 0.184026i 0.585309 0.810810i \(-0.300973\pi\)
0.101487 + 0.994837i \(0.467640\pi\)
\(230\) −15.8362 16.9594i −1.04421 1.11827i
\(231\) 0.268456 + 6.45976i 0.0176631 + 0.425021i
\(232\) 12.9852 2.08340i 0.852523 0.136782i
\(233\) 2.05717 0.134770 0.0673848 0.997727i \(-0.478534\pi\)
0.0673848 + 0.997727i \(0.478534\pi\)
\(234\) 6.43837 + 5.83840i 0.420889 + 0.381668i
\(235\) −11.4584 11.4584i −0.747462 0.747462i
\(236\) 0.791160 0.689606i 0.0515001 0.0448896i
\(237\) −4.12638 + 18.4297i −0.268037 + 1.19714i
\(238\) −2.78625 0.0954306i −0.180606 0.00618585i
\(239\) −4.07795 7.06322i −0.263781 0.456882i 0.703463 0.710732i \(-0.251636\pi\)
−0.967243 + 0.253851i \(0.918303\pi\)
\(240\) 5.79119 + 12.6881i 0.373820 + 0.819016i
\(241\) 5.82747 10.0935i 0.375380 0.650178i −0.615003 0.788524i \(-0.710845\pi\)
0.990384 + 0.138346i \(0.0441787\pi\)
\(242\) −16.8804 + 27.0545i −1.08511 + 1.73913i
\(243\) 15.5656 + 0.843360i 0.998535 + 0.0541015i
\(244\) 2.01903 5.88930i 0.129255 0.377024i
\(245\) −12.8041 + 3.43084i −0.818021 + 0.219188i
\(246\) 1.21268 4.66158i 0.0773176 0.297212i
\(247\) −5.95500 10.3144i −0.378907 0.656287i
\(248\) 0.197474 + 0.441146i 0.0125396 + 0.0280128i
\(249\) 11.8715 + 18.7212i 0.752328 + 1.18641i
\(250\) −4.93960 + 16.1955i −0.312407 + 1.02429i
\(251\) 0.0658814 0.0658814i 0.00415840 0.00415840i −0.705025 0.709183i \(-0.749064\pi\)
0.709183 + 0.705025i \(0.249064\pi\)
\(252\) −3.37654 1.88429i −0.212702 0.118699i
\(253\) 33.3806 + 33.3806i 2.09862 + 2.09862i
\(254\) −3.92536 7.37062i −0.246299 0.462474i
\(255\) −0.442874 10.6567i −0.0277338 0.667350i
\(256\) −11.4497 + 11.1760i −0.715609 + 0.698501i
\(257\) 14.7849 8.53605i 0.922255 0.532464i 0.0379016 0.999281i \(-0.487933\pi\)
0.884354 + 0.466817i \(0.154599\pi\)
\(258\) 1.81232 + 1.02878i 0.112830 + 0.0640491i
\(259\) −0.627265 2.34099i −0.0389764 0.145462i
\(260\) 7.40843 3.62562i 0.459451 0.224851i
\(261\) −10.6479 9.01107i −0.659087 0.557771i
\(262\) 0.514948 + 2.22369i 0.0318136 + 0.137380i
\(263\) −6.39765 3.69369i −0.394496 0.227762i 0.289610 0.957145i \(-0.406474\pi\)
−0.684106 + 0.729382i \(0.739808\pi\)
\(264\) −12.6588 25.3954i −0.779095 1.56298i
\(265\) −8.03192 + 4.63723i −0.493397 + 0.284863i
\(266\) 3.61628 + 3.87279i 0.221729 + 0.237456i
\(267\) 2.00084 + 6.39260i 0.122449 + 0.391221i
\(268\) −3.39974 + 2.96335i −0.207672 + 0.181016i
\(269\) 7.77076 7.77076i 0.473792 0.473792i −0.429348 0.903139i \(-0.641256\pi\)
0.903139 + 0.429348i \(0.141256\pi\)
\(270\) 6.21035 13.4266i 0.377950 0.817118i
\(271\) 15.0480i 0.914103i −0.889440 0.457052i \(-0.848905\pi\)
0.889440 0.457052i \(-0.151095\pi\)
\(272\) 11.3324 4.61393i 0.687129 0.279761i
\(273\) −1.06012 + 2.02608i −0.0641615 + 0.122624i
\(274\) 0.537645 15.6974i 0.0324803 0.948317i
\(275\) 1.42020 5.30024i 0.0856410 0.319617i
\(276\) −27.4582 + 6.57006i −1.65279 + 0.395471i
\(277\) −3.62552 13.5306i −0.217836 0.812976i −0.985149 0.171702i \(-0.945073\pi\)
0.767313 0.641273i \(-0.221593\pi\)
\(278\) 3.68866 + 15.9287i 0.221231 + 0.955340i
\(279\) 0.218602 0.463702i 0.0130874 0.0277611i
\(280\) −2.84709 + 2.31501i −0.170146 + 0.138348i
\(281\) −7.72501 + 13.3801i −0.460835 + 0.798190i −0.999003 0.0446477i \(-0.985783\pi\)
0.538167 + 0.842838i \(0.319117\pi\)
\(282\) −19.0076 + 5.24202i −1.13188 + 0.312158i
\(283\) −1.71123 + 6.38640i −0.101722 + 0.379632i −0.997953 0.0639565i \(-0.979628\pi\)
0.896231 + 0.443588i \(0.146295\pi\)
\(284\) −25.4143 17.0927i −1.50806 1.01426i
\(285\) −13.7267 + 14.9171i −0.813100 + 0.883612i
\(286\) −14.8110 + 7.88787i −0.875793 + 0.466420i
\(287\) 1.26727 0.0748046
\(288\) 16.9047 + 1.49346i 0.996120 + 0.0880030i
\(289\) 7.64299 0.449588
\(290\) −11.6839 + 6.22249i −0.686103 + 0.365397i
\(291\) −24.7799 5.54816i −1.45262 0.325239i
\(292\) −15.4968 10.4226i −0.906883 0.609935i
\(293\) 4.18520 15.6194i 0.244502 0.912493i −0.729131 0.684374i \(-0.760076\pi\)
0.973633 0.228119i \(-0.0732577\pi\)
\(294\) −4.06072 + 15.6096i −0.236826 + 0.910368i
\(295\) −0.528201 + 0.914872i −0.0307531 + 0.0532659i
\(296\) 6.71050 + 8.25283i 0.390040 + 0.479686i
\(297\) −11.6924 + 27.7327i −0.678462 + 1.60922i
\(298\) −7.02917 30.3539i −0.407189 1.75836i
\(299\) 4.32134 + 16.1274i 0.249909 + 0.932674i
\(300\) 2.25719 + 2.38221i 0.130319 + 0.137537i
\(301\) −0.141906 + 0.529601i −0.00817934 + 0.0305257i
\(302\) −0.787281 + 22.9860i −0.0453029 + 1.32269i
\(303\) −2.26334 3.56925i −0.130026 0.205048i
\(304\) −21.4308 9.02918i −1.22914 0.517859i
\(305\) 6.26661i 0.358825i
\(306\) −11.5425 5.93261i −0.659843 0.339145i
\(307\) −7.76011 + 7.76011i −0.442893 + 0.442893i −0.892983 0.450090i \(-0.851392\pi\)
0.450090 + 0.892983i \(0.351392\pi\)
\(308\) 5.62774 4.90536i 0.320670 0.279509i
\(309\) −4.69732 + 5.10467i −0.267221 + 0.290395i
\(310\) −0.332029 0.355580i −0.0188580 0.0201956i
\(311\) −3.77550 + 2.17978i −0.214089 + 0.123604i −0.603210 0.797582i \(-0.706112\pi\)
0.389121 + 0.921186i \(0.372779\pi\)
\(312\) 0.613584 10.0171i 0.0347374 0.567108i
\(313\) −2.20758 1.27455i −0.124780 0.0720416i 0.436311 0.899796i \(-0.356285\pi\)
−0.561091 + 0.827754i \(0.689618\pi\)
\(314\) −7.59166 32.7829i −0.428422 1.85005i
\(315\) 3.83009 + 0.691938i 0.215801 + 0.0389863i
\(316\) 19.5878 9.58610i 1.10190 0.539260i
\(317\) −4.91388 18.3388i −0.275991 1.03001i −0.955174 0.296044i \(-0.904333\pi\)
0.679183 0.733969i \(-0.262334\pi\)
\(318\) 0.0823466 + 11.2845i 0.00461777 + 0.632805i
\(319\) 23.3235 13.4658i 1.30586 0.753941i
\(320\) 7.25379 14.3789i 0.405499 0.803803i
\(321\) 4.25515 + 2.22646i 0.237500 + 0.124269i
\(322\) −3.49167 6.55629i −0.194583 0.365368i
\(323\) 12.5752 + 12.5752i 0.699701 + 0.699701i
\(324\) −10.4771 14.6366i −0.582062 0.813145i
\(325\) 1.37230 1.37230i 0.0761216 0.0761216i
\(326\) −6.66245 + 21.8442i −0.368999 + 1.20984i
\(327\) 12.2721 23.4541i 0.678648 1.29702i
\(328\) −5.07648 + 2.27242i −0.280302 + 0.125474i
\(329\) −2.59377 4.49254i −0.142999 0.247681i
\(330\) 20.3430 + 20.0482i 1.11984 + 1.10362i
\(331\) −20.8335 + 5.58231i −1.14511 + 0.306831i −0.781004 0.624526i \(-0.785292\pi\)
−0.364106 + 0.931357i \(0.618626\pi\)
\(332\) 8.30125 24.2139i 0.455590 1.32891i
\(333\) 2.00571 11.1022i 0.109912 0.608398i
\(334\) 0.369312 0.591904i 0.0202078 0.0323875i
\(335\) 2.26977 3.93135i 0.124011 0.214793i
\(336\) 0.739472 + 4.40325i 0.0403415 + 0.240217i
\(337\) 8.17417 + 14.1581i 0.445275 + 0.771239i 0.998071 0.0620772i \(-0.0197725\pi\)
−0.552796 + 0.833317i \(0.686439\pi\)
\(338\) 12.4425 + 0.426163i 0.676785 + 0.0231802i
\(339\) −7.69997 7.08552i −0.418205 0.384832i
\(340\) −9.28413 + 8.09242i −0.503503 + 0.438873i
\(341\) 0.699874 + 0.699874i 0.0379003 + 0.0379003i
\(342\) 7.53936 + 23.4854i 0.407682 + 1.26995i
\(343\) −8.75470 −0.472709
\(344\) −0.381208 2.37596i −0.0205534 0.128103i
\(345\) 23.9999 15.2189i 1.29211 0.819358i
\(346\) 19.8002 + 21.2046i 1.06446 + 1.13997i
\(347\) 7.81694 + 2.09454i 0.419635 + 0.112441i 0.462457 0.886642i \(-0.346968\pi\)
−0.0428214 + 0.999083i \(0.513635\pi\)
\(348\) −0.433870 + 16.1012i −0.0232579 + 0.863113i
\(349\) −16.0919 + 4.31180i −0.861378 + 0.230806i −0.662356 0.749189i \(-0.730443\pi\)
−0.199022 + 0.979995i \(0.563777\pi\)
\(350\) −0.457051 + 0.732526i −0.0244304 + 0.0391551i
\(351\) −8.48563 + 6.42677i −0.452930 + 0.343035i
\(352\) −13.7477 + 29.7416i −0.732755 + 1.58523i
\(353\) −11.3077 6.52852i −0.601849 0.347478i 0.167919 0.985801i \(-0.446295\pi\)
−0.769769 + 0.638323i \(0.779628\pi\)
\(354\) 0.650803 + 1.10846i 0.0345898 + 0.0589142i
\(355\) 29.7779 + 7.97897i 1.58045 + 0.423480i
\(356\) 4.31657 6.41810i 0.228778 0.340159i
\(357\) 0.746018 3.33196i 0.0394835 0.176346i
\(358\) −14.3373 4.37286i −0.757751 0.231113i
\(359\) 21.1411i 1.11578i 0.829914 + 0.557892i \(0.188390\pi\)
−0.829914 + 0.557892i \(0.811610\pi\)
\(360\) −16.5835 + 4.09618i −0.874026 + 0.215888i
\(361\) 14.8003i 0.778966i
\(362\) 0.513142 1.68244i 0.0269702 0.0884271i
\(363\) −28.7394 26.4460i −1.50843 1.38805i
\(364\) 2.59123 0.507286i 0.135817 0.0265890i
\(365\) 18.1576 + 4.86533i 0.950415 + 0.254663i
\(366\) 6.63108 + 3.76421i 0.346612 + 0.196758i
\(367\) −27.7535 16.0235i −1.44872 0.836419i −0.450315 0.892870i \(-0.648688\pi\)
−0.998405 + 0.0564512i \(0.982021\pi\)
\(368\) 25.7436 + 20.0023i 1.34198 + 1.04269i
\(369\) 5.33604 + 2.51556i 0.277783 + 0.130955i
\(370\) −9.08341 5.66749i −0.472224 0.294639i
\(371\) −2.86784 + 0.768436i −0.148891 + 0.0398952i
\(372\) −0.575703 + 0.137751i −0.0298488 + 0.00714207i
\(373\) 0.692592 + 0.185580i 0.0358611 + 0.00960894i 0.276705 0.960955i \(-0.410758\pi\)
−0.240844 + 0.970564i \(0.577424\pi\)
\(374\) 18.3138 17.1008i 0.946983 0.884262i
\(375\) −18.3741 9.61404i −0.948836 0.496467i
\(376\) 18.4461 + 13.3453i 0.951283 + 0.688233i
\(377\) 9.52522 0.490574
\(378\) 3.03282 3.63721i 0.155992 0.187078i
\(379\) −3.65005 3.65005i −0.187491 0.187491i 0.607120 0.794610i \(-0.292325\pi\)
−0.794610 + 0.607120i \(0.792325\pi\)
\(380\) 23.3529 + 1.60158i 1.19798 + 0.0821591i
\(381\) 9.76057 3.05499i 0.500049 0.156512i
\(382\) 0.384908 11.2380i 0.0196936 0.574988i
\(383\) 9.73635 + 16.8639i 0.497504 + 0.861703i 0.999996 0.00287933i \(-0.000916521\pi\)
−0.502492 + 0.864582i \(0.667583\pi\)
\(384\) −10.8580 16.3127i −0.554093 0.832455i
\(385\) −3.75724 + 6.50774i −0.191487 + 0.331665i
\(386\) −7.08960 4.42348i −0.360851 0.225149i
\(387\) −1.64879 + 1.94828i −0.0838127 + 0.0990368i
\(388\) 12.8891 + 26.3370i 0.654344 + 1.33706i
\(389\) 0.311311 0.0834155i 0.0157841 0.00422934i −0.250918 0.968008i \(-0.580733\pi\)
0.266702 + 0.963779i \(0.414066\pi\)
\(390\) 2.68565 + 9.73818i 0.135993 + 0.493112i
\(391\) −12.4655 21.5909i −0.630407 1.09190i
\(392\) 16.9989 7.60933i 0.858573 0.384329i
\(393\) −2.79311 + 0.116077i −0.140894 + 0.00585530i
\(394\) 22.3230 + 6.80850i 1.12462 + 0.343007i
\(395\) −15.5215 + 15.5215i −0.780972 + 0.780972i
\(396\) 33.4338 9.48362i 1.68011 0.476570i
\(397\) 3.56364 + 3.56364i 0.178854 + 0.178854i 0.790856 0.612002i \(-0.209636\pi\)
−0.612002 + 0.790856i \(0.709636\pi\)
\(398\) 0.790693 0.421098i 0.0396339 0.0211077i
\(399\) −5.48052 + 3.47533i −0.274369 + 0.173984i
\(400\) 0.517336 3.75395i 0.0258668 0.187697i
\(401\) −16.5507 + 9.55556i −0.826503 + 0.477182i −0.852654 0.522476i \(-0.825008\pi\)
0.0261506 + 0.999658i \(0.491675\pi\)
\(402\) −2.79661 4.76325i −0.139482 0.237569i
\(403\) 0.0906033 + 0.338136i 0.00451327 + 0.0168438i
\(404\) −1.58266 + 4.61644i −0.0787401 + 0.229677i
\(405\) 14.7537 + 10.5163i 0.733116 + 0.522561i
\(406\) −4.12846 + 0.956041i −0.204892 + 0.0474475i
\(407\) 18.8639 + 10.8911i 0.935049 + 0.539851i
\(408\) 2.98632 + 14.6850i 0.147845 + 0.727017i
\(409\) 11.7821 6.80241i 0.582589 0.336358i −0.179573 0.983745i \(-0.557472\pi\)
0.762161 + 0.647387i \(0.224138\pi\)
\(410\) 4.09183 3.82082i 0.202081 0.188697i
\(411\) 18.7719 + 4.20298i 0.925948 + 0.207318i
\(412\) 7.99143 + 0.548064i 0.393709 + 0.0270012i
\(413\) −0.239132 + 0.239132i −0.0117669 + 0.0117669i
\(414\) −1.68785 34.5374i −0.0829534 1.69742i
\(415\) 25.7652i 1.26476i
\(416\) −9.47041 + 6.67861i −0.464325 + 0.327446i
\(417\) −20.0076 + 0.831479i −0.979775 + 0.0407177i
\(418\) −47.5948 1.63014i −2.32794 0.0797330i
\(419\) −2.09039 + 7.80143i −0.102122 + 0.381125i −0.998003 0.0631698i \(-0.979879\pi\)
0.895881 + 0.444295i \(0.146546\pi\)
\(420\) −2.14144 3.95120i −0.104492 0.192799i
\(421\) −4.12570 15.3973i −0.201074 0.750419i −0.990610 0.136715i \(-0.956345\pi\)
0.789536 0.613704i \(-0.210321\pi\)
\(422\) −29.5047 + 6.83251i −1.43627 + 0.332601i
\(423\) −2.00367 24.0652i −0.0974220 1.17009i
\(424\) 10.1102 8.22075i 0.490994 0.399235i
\(425\) −1.44895 + 2.50965i −0.0702842 + 0.121736i
\(426\) 26.3299 26.7170i 1.27569 1.29444i
\(427\) −0.519221 + 1.93776i −0.0251268 + 0.0937747i
\(428\) −1.06540 5.44208i −0.0514979 0.263053i
\(429\) −6.13889 19.6135i −0.296388 0.946950i
\(430\) 1.13855 + 2.13785i 0.0549059 + 0.103096i
\(431\) 0.112162 0.00540266 0.00270133 0.999996i \(-0.499140\pi\)
0.00270133 + 0.999996i \(0.499140\pi\)
\(432\) −5.62689 + 20.0085i −0.270724 + 0.962657i
\(433\) 20.7054 0.995038 0.497519 0.867453i \(-0.334244\pi\)
0.497519 + 0.867453i \(0.334244\pi\)
\(434\) −0.0732082 0.137462i −0.00351410 0.00659841i
\(435\) −4.84277 15.4725i −0.232193 0.741849i
\(436\) −29.9964 + 5.87239i −1.43657 + 0.281237i
\(437\) −12.2639 + 45.7694i −0.586661 + 2.18945i
\(438\) 16.0552 16.2912i 0.767146 0.778424i
\(439\) −19.9756 + 34.5988i −0.953384 + 1.65131i −0.215361 + 0.976534i \(0.569093\pi\)
−0.738023 + 0.674776i \(0.764240\pi\)
\(440\) 3.38148 32.8063i 0.161206 1.56398i
\(441\) −17.8680 8.42350i −0.850859 0.401119i
\(442\) 8.63358 1.99931i 0.410658 0.0950974i
\(443\) 1.21372 + 4.52965i 0.0576654 + 0.215210i 0.988746 0.149603i \(-0.0477995\pi\)
−0.931081 + 0.364813i \(0.881133\pi\)
\(444\) −11.4533 + 6.20737i −0.543550 + 0.294589i
\(445\) −2.01501 + 7.52010i −0.0955204 + 0.356487i
\(446\) 21.5067 + 0.736617i 1.01837 + 0.0348798i
\(447\) 38.1267 1.58448i 1.80333 0.0749432i
\(448\) 3.43437 3.84521i 0.162259 0.181669i
\(449\) 0.895625i 0.0422672i 0.999777 + 0.0211336i \(0.00672753\pi\)
−0.999777 + 0.0211336i \(0.993272\pi\)
\(450\) −3.37857 + 2.17716i −0.159267 + 0.102632i
\(451\) −8.05379 + 8.05379i −0.379238 + 0.379238i
\(452\) −0.826709 + 12.0544i −0.0388851 + 0.566992i
\(453\) −27.4879 6.15448i −1.29149 0.289163i
\(454\) 15.5803 14.5484i 0.731220 0.682790i
\(455\) −2.30167 + 1.32887i −0.107904 + 0.0622983i
\(456\) 15.7223 23.7491i 0.736263 1.11215i
\(457\) 28.9564 + 16.7180i 1.35453 + 0.782036i 0.988880 0.148719i \(-0.0475148\pi\)
0.365646 + 0.930754i \(0.380848\pi\)
\(458\) 14.8243 3.43291i 0.692693 0.160409i
\(459\) 9.75525 12.5489i 0.455336 0.585731i
\(460\) −31.0413 10.6419i −1.44731 0.496182i
\(461\) −1.29659 4.83893i −0.0603881 0.225371i 0.929136 0.369738i \(-0.120552\pi\)
−0.989524 + 0.144366i \(0.953886\pi\)
\(462\) 4.62934 + 7.88481i 0.215376 + 0.366835i
\(463\) −16.0584 + 9.27134i −0.746299 + 0.430876i −0.824355 0.566073i \(-0.808462\pi\)
0.0780562 + 0.996949i \(0.475129\pi\)
\(464\) 14.8236 11.2328i 0.688169 0.521468i
\(465\) 0.503194 0.319087i 0.0233351 0.0147973i
\(466\) 2.56782 1.36754i 0.118952 0.0633501i
\(467\) −13.6565 13.6565i −0.631948 0.631948i 0.316608 0.948556i \(-0.397456\pi\)
−0.948556 + 0.316608i \(0.897456\pi\)
\(468\) 11.9178 + 3.00765i 0.550899 + 0.139029i
\(469\) 1.02759 1.02759i 0.0474497 0.0474497i
\(470\) −21.9199 6.68554i −1.01109 0.308381i
\(471\) 41.1777 1.71127i 1.89737 0.0788512i
\(472\) 0.529122 1.38673i 0.0243548 0.0638293i
\(473\) −2.46389 4.26758i −0.113290 0.196224i
\(474\) 7.10084 + 25.7477i 0.326152 + 1.18263i
\(475\) 5.32008 1.42551i 0.244102 0.0654069i
\(476\) −3.54133 + 1.73310i −0.162317 + 0.0794363i
\(477\) −13.6009 2.45712i −0.622741 0.112504i
\(478\) −9.78564 6.10564i −0.447585 0.279265i
\(479\) 1.37861 2.38783i 0.0629904 0.109103i −0.832810 0.553558i \(-0.813270\pi\)
0.895801 + 0.444456i \(0.146603\pi\)
\(480\) 15.6634 + 11.9879i 0.714935 + 0.547172i
\(481\) 3.85198 + 6.67182i 0.175635 + 0.304209i
\(482\) 0.564206 16.4729i 0.0256989 0.750321i
\(483\) 8.68219 2.71746i 0.395053 0.123649i
\(484\) −3.08561 + 44.9918i −0.140255 + 2.04508i
\(485\) −20.8696 20.8696i −0.947639 0.947639i
\(486\) 19.9901 9.29484i 0.906772 0.421622i
\(487\) 17.4202 0.789383 0.394692 0.918814i \(-0.370851\pi\)
0.394692 + 0.918814i \(0.370851\pi\)
\(488\) −1.39480 8.69340i −0.0631397 0.393532i
\(489\) −24.7828 12.9673i −1.12071 0.586400i
\(490\) −13.7017 + 12.7942i −0.618980 + 0.577984i
\(491\) −16.1550 4.32873i −0.729066 0.195353i −0.124853 0.992175i \(-0.539846\pi\)
−0.604213 + 0.796822i \(0.706513\pi\)
\(492\) −1.58517 6.62489i −0.0714650 0.298673i
\(493\) −13.7384 + 3.68120i −0.618747 + 0.165793i
\(494\) −14.2899 8.91601i −0.642932 0.401150i
\(495\) −28.7385 + 19.9436i −1.29170 + 0.896400i
\(496\) 0.539753 + 0.419379i 0.0242356 + 0.0188307i
\(497\) 8.54681 + 4.93450i 0.383377 + 0.221343i
\(498\) 27.2637 + 15.4765i 1.22172 + 0.693521i
\(499\) 32.1048 + 8.60246i 1.43721 + 0.385099i 0.891556 0.452911i \(-0.149615\pi\)
0.545654 + 0.838011i \(0.316281\pi\)
\(500\) 4.60048 + 23.4994i 0.205740 + 1.05092i
\(501\) 0.628765 + 0.578590i 0.0280912 + 0.0258495i
\(502\) 0.0384394 0.126031i 0.00171563 0.00562505i
\(503\) 5.04620i 0.224999i 0.993652 + 0.112499i \(0.0358857\pi\)
−0.993652 + 0.112499i \(0.964114\pi\)
\(504\) −5.46732 0.107407i −0.243534 0.00478430i
\(505\) 4.91221i 0.218590i
\(506\) 63.8571 + 19.4763i 2.83879 + 0.865829i
\(507\) −3.33148 + 14.8795i −0.147956 + 0.660821i
\(508\) −9.79952 6.59078i −0.434783 0.292419i
\(509\) −39.6362 10.6205i −1.75684 0.470745i −0.770777 0.637105i \(-0.780132\pi\)
−0.986065 + 0.166360i \(0.946799\pi\)
\(510\) −7.63706 13.0076i −0.338175 0.575988i
\(511\) 5.21158 + 3.00891i 0.230547 + 0.133106i
\(512\) −6.86247 + 21.5617i −0.303281 + 0.952901i
\(513\) −29.9752 + 3.75445i −1.32344 + 0.165763i
\(514\) 12.7805 20.4835i 0.563722 0.903489i
\(515\) −7.78801 + 2.08679i −0.343181 + 0.0919549i
\(516\) 2.94609 + 0.0793868i 0.129694 + 0.00349481i
\(517\) 45.0351 + 12.0671i 1.98064 + 0.530711i
\(518\) −2.33919 2.50511i −0.102778 0.110068i
\(519\) −30.0074 + 19.0284i −1.31718 + 0.835254i
\(520\) 6.83724 9.45051i 0.299833 0.414432i
\(521\) 10.9553 0.479963 0.239981 0.970778i \(-0.422859\pi\)
0.239981 + 0.970778i \(0.422859\pi\)
\(522\) −19.2813 4.16953i −0.843920 0.182495i
\(523\) 8.18896 + 8.18896i 0.358078 + 0.358078i 0.863104 0.505026i \(-0.168517\pi\)
−0.505026 + 0.863104i \(0.668517\pi\)
\(524\) 2.12102 + 2.43336i 0.0926570 + 0.106302i
\(525\) −0.778145 0.716049i −0.0339610 0.0312509i
\(526\) −10.4412 0.357616i −0.455258 0.0155928i
\(527\) −0.261358 0.452685i −0.0113849 0.0197193i
\(528\) −32.6832 23.2841i −1.42235 1.01331i
\(529\) 21.7133 37.6085i 0.944056 1.63515i
\(530\) −6.94301 + 11.1277i −0.301585 + 0.483357i
\(531\) −1.48159 + 0.532220i −0.0642953 + 0.0230964i
\(532\) 7.08847 + 2.43014i 0.307324 + 0.105360i
\(533\) −3.89110 + 1.04262i −0.168542 + 0.0451607i
\(534\) 6.74711 + 6.64935i 0.291976 + 0.287746i
\(535\) 2.79088 + 4.83394i 0.120660 + 0.208989i
\(536\) −2.27372 + 5.95899i −0.0982099 + 0.257389i
\(537\) 8.51100 16.2660i 0.367277 0.701931i
\(538\) 4.53395 14.8655i 0.195473 0.640896i
\(539\) 26.9686 26.9686i 1.16162 1.16162i
\(540\) −1.17365 20.8880i −0.0505057 0.898876i
\(541\) −16.3651 16.3651i −0.703590 0.703590i 0.261589 0.965179i \(-0.415753\pi\)
−0.965179 + 0.261589i \(0.915753\pi\)
\(542\) −10.0035 18.7834i −0.429686 0.806818i
\(543\) 1.90877 + 0.998740i 0.0819131 + 0.0428600i
\(544\) 11.0783 13.2927i 0.474978 0.569920i
\(545\) 26.6444 15.3831i 1.14132 0.658941i
\(546\) 0.0235977 + 3.23375i 0.00100989 + 0.138392i
\(547\) −6.32886 23.6196i −0.270603 1.00990i −0.958731 0.284314i \(-0.908234\pi\)
0.688129 0.725589i \(-0.258432\pi\)
\(548\) −9.76406 19.9514i −0.417100 0.852284i
\(549\) −6.03276 + 7.12857i −0.257472 + 0.304240i
\(550\) −1.75070 7.56003i −0.0746502 0.322361i
\(551\) 23.4108 + 13.5162i 0.997332 + 0.575810i
\(552\) −29.9066 + 26.4543i −1.27291 + 1.12597i
\(553\) −6.08559 + 3.51352i −0.258786 + 0.149410i
\(554\) −13.5202 14.4792i −0.574419 0.615163i
\(555\) 8.87910 9.64909i 0.376897 0.409581i
\(556\) 15.1932 + 17.4306i 0.644336 + 0.739222i
\(557\) 1.55709 1.55709i 0.0659760 0.0659760i −0.673349 0.739325i \(-0.735145\pi\)
0.739325 + 0.673349i \(0.235145\pi\)
\(558\) −0.0353883 0.724128i −0.00149811 0.0306548i
\(559\) 1.74287i 0.0737154i
\(560\) −2.01488 + 4.78232i −0.0851442 + 0.202090i
\(561\) 16.4342 + 25.9165i 0.693854 + 1.09419i
\(562\) −0.747922 + 21.8368i −0.0315492 + 0.921131i
\(563\) −7.85187 + 29.3036i −0.330917 + 1.23500i 0.577311 + 0.816524i \(0.304102\pi\)
−0.908228 + 0.418475i \(0.862565\pi\)
\(564\) −20.2411 + 19.1789i −0.852305 + 0.807577i
\(565\) −3.14775 11.7476i −0.132427 0.494224i
\(566\) 2.10947 + 9.10927i 0.0886675 + 0.382891i
\(567\) 3.69079 + 4.47427i 0.154999 + 0.187902i
\(568\) −43.0855 4.44100i −1.80783 0.186340i
\(569\) −11.5050 + 19.9273i −0.482316 + 0.835395i −0.999794 0.0203012i \(-0.993537\pi\)
0.517478 + 0.855696i \(0.326871\pi\)
\(570\) −7.21769 + 27.7451i −0.302316 + 1.16211i
\(571\) 3.77973 14.1061i 0.158177 0.590324i −0.840636 0.541601i \(-0.817818\pi\)
0.998812 0.0487226i \(-0.0155150\pi\)
\(572\) −13.2439 + 19.6918i −0.553757 + 0.823355i
\(573\) 13.4391 + 3.00898i 0.561425 + 0.125702i
\(574\) 1.58185 0.842442i 0.0660250 0.0351628i
\(575\) −7.72120 −0.321996
\(576\) 22.0938 9.37355i 0.920576 0.390564i
\(577\) −18.7394 −0.780130 −0.390065 0.920787i \(-0.627548\pi\)
−0.390065 + 0.920787i \(0.627548\pi\)
\(578\) 9.54023 5.08082i 0.396821 0.211334i
\(579\) 6.93013 7.53111i 0.288006 0.312982i
\(580\) −10.4477 + 15.5342i −0.433818 + 0.645023i
\(581\) −2.13478 + 7.96709i −0.0885654 + 0.330531i
\(582\) −34.6192 + 9.54749i −1.43501 + 0.395756i
\(583\) 13.3422 23.1094i 0.552578 0.957093i
\(584\) −26.2722 2.70798i −1.08715 0.112057i
\(585\) −12.3294 + 1.02655i −0.509757 + 0.0424425i
\(586\) −5.15917 22.2788i −0.213123 0.920328i
\(587\) −3.72984 13.9200i −0.153947 0.574538i −0.999193 0.0401610i \(-0.987213\pi\)
0.845246 0.534377i \(-0.179454\pi\)
\(588\) 5.30803 + 22.1838i 0.218899 + 0.914844i
\(589\) −0.257131 + 0.959624i −0.0105949 + 0.0395406i
\(590\) −0.0511396 + 1.49310i −0.00210538 + 0.0614701i
\(591\) −13.2515 + 25.3260i −0.545095 + 1.04177i
\(592\) 13.8625 + 5.84051i 0.569744 + 0.240044i
\(593\) 11.6038i 0.476512i 0.971202 + 0.238256i \(0.0765758\pi\)
−0.971202 + 0.238256i \(0.923424\pi\)
\(594\) 3.84103 + 42.3896i 0.157599 + 1.73927i
\(595\) 2.80617 2.80617i 0.115042 0.115042i
\(596\) −28.9524 33.2160i −1.18594 1.36058i
\(597\) 0.327728 + 1.04708i 0.0134130 + 0.0428541i
\(598\) 16.1150 + 17.2581i 0.658993 + 0.705736i
\(599\) −2.74819 + 1.58667i −0.112288 + 0.0648294i −0.555092 0.831789i \(-0.687317\pi\)
0.442804 + 0.896618i \(0.353984\pi\)
\(600\) 4.40112 + 1.47304i 0.179675 + 0.0601364i
\(601\) −29.2389 16.8811i −1.19268 0.688593i −0.233765 0.972293i \(-0.575105\pi\)
−0.958913 + 0.283700i \(0.908438\pi\)
\(602\) 0.174931 + 0.755400i 0.00712964 + 0.0307878i
\(603\) 6.36662 2.28704i 0.259269 0.0931354i
\(604\) 14.2977 + 29.2152i 0.581763 + 1.18875i
\(605\) −11.7487 43.8466i −0.477651 1.78262i
\(606\) −5.19790 2.95065i −0.211150 0.119862i
\(607\) −26.7618 + 15.4509i −1.08623 + 0.627133i −0.932569 0.360991i \(-0.882438\pi\)
−0.153657 + 0.988124i \(0.549105\pi\)
\(608\) −32.7529 + 2.97602i −1.32831 + 0.120693i
\(609\) −0.215506 5.18564i −0.00873273 0.210133i
\(610\) 4.16585 + 7.82218i 0.168670 + 0.316711i
\(611\) 11.6602 + 11.6602i 0.471720 + 0.471720i
\(612\) −18.3516 + 0.267848i −0.741819 + 0.0108271i
\(613\) −27.1318 + 27.1318i −1.09584 + 1.09584i −0.100951 + 0.994891i \(0.532189\pi\)
−0.994891 + 0.100951i \(0.967811\pi\)
\(614\) −4.52774 + 14.8451i −0.182725 + 0.599099i
\(615\) 3.67189 + 5.79049i 0.148065 + 0.233495i
\(616\) 3.76379 9.86418i 0.151647 0.397439i
\(617\) −4.23780 7.34009i −0.170607 0.295501i 0.768025 0.640420i \(-0.221240\pi\)
−0.938632 + 0.344919i \(0.887906\pi\)
\(618\) −2.46992 + 9.49444i −0.0993546 + 0.381923i
\(619\) 24.4520 6.55190i 0.982810 0.263343i 0.268582 0.963257i \(-0.413445\pi\)
0.714228 + 0.699914i \(0.246778\pi\)
\(620\) −0.650827 0.223124i −0.0261379 0.00896086i
\(621\) 41.9520 + 5.79205i 1.68348 + 0.232427i
\(622\) −3.26364 + 5.23071i −0.130860 + 0.209732i
\(623\) −1.24616 + 2.15841i −0.0499262 + 0.0864748i
\(624\) −5.89318 12.9116i −0.235916 0.516877i
\(625\) −9.68286 16.7712i −0.387315 0.670848i
\(626\) −3.60285 0.123399i −0.143999 0.00493203i
\(627\) 12.7435 56.9165i 0.508925 2.27302i
\(628\) −31.2692 35.8740i −1.24778 1.43153i
\(629\) −8.13423 8.13423i −0.324333 0.324333i
\(630\) 5.24081 1.68242i 0.208799 0.0670293i
\(631\) 32.2960 1.28568 0.642842 0.765999i \(-0.277755\pi\)
0.642842 + 0.765999i \(0.277755\pi\)
\(632\) 18.0776 24.9870i 0.719088 0.993931i
\(633\) −1.54015 37.0600i −0.0612153 1.47300i
\(634\) −18.3248 19.6245i −0.727769 0.779390i
\(635\) 11.4821 + 3.07662i 0.455654 + 0.122092i
\(636\) 7.60439 + 14.0310i 0.301534 + 0.556364i
\(637\) 13.0295 3.49126i 0.516249 0.138329i
\(638\) 20.1614 32.3132i 0.798199 1.27929i
\(639\) 26.1926 + 37.7432i 1.03616 + 1.49310i
\(640\) −0.504205 22.7702i −0.0199305 0.900073i
\(641\) 27.0376 + 15.6102i 1.06792 + 0.616564i 0.927613 0.373544i \(-0.121857\pi\)
0.140308 + 0.990108i \(0.455191\pi\)
\(642\) 6.79150 0.0495595i 0.268039 0.00195596i
\(643\) 18.2322 + 4.88530i 0.719007 + 0.192657i 0.599728 0.800204i \(-0.295275\pi\)
0.119278 + 0.992861i \(0.461942\pi\)
\(644\) −8.71683 5.86261i −0.343491 0.231019i
\(645\) −2.83106 + 0.886101i −0.111473 + 0.0348902i
\(646\) 24.0563 + 7.33715i 0.946483 + 0.288676i
\(647\) 25.7862i 1.01376i −0.862017 0.506879i \(-0.830799\pi\)
0.862017 0.506879i \(-0.169201\pi\)
\(648\) −22.8078 11.3050i −0.895976 0.444103i
\(649\) 3.03948i 0.119310i
\(650\) 0.800687 2.62521i 0.0314055 0.102969i
\(651\) 0.182035 0.0569757i 0.00713452 0.00223305i
\(652\) 6.20505 + 31.6956i 0.243009 + 1.24130i
\(653\) −9.81233 2.62920i −0.383986 0.102889i 0.0616618 0.998097i \(-0.480360\pi\)
−0.445648 + 0.895208i \(0.647027\pi\)
\(654\) −0.273169 37.4343i −0.0106818 1.46380i
\(655\) −2.81386 1.62458i −0.109947 0.0634777i
\(656\) −4.82599 + 6.21120i −0.188423 + 0.242507i
\(657\) 15.9714 + 23.0146i 0.623105 + 0.897885i
\(658\) −6.22412 3.88347i −0.242641 0.151393i
\(659\) 10.6102 2.84300i 0.413316 0.110748i −0.0461683 0.998934i \(-0.514701\pi\)
0.459484 + 0.888186i \(0.348034\pi\)
\(660\) 38.7202 + 11.5014i 1.50718 + 0.447693i
\(661\) −22.2643 5.96571i −0.865982 0.232039i −0.201633 0.979461i \(-0.564625\pi\)
−0.664350 + 0.747422i \(0.731291\pi\)
\(662\) −22.2940 + 20.8174i −0.866482 + 0.809093i
\(663\) 0.450673 + 10.8444i 0.0175027 + 0.421161i
\(664\) −5.73473 35.7429i −0.222551 1.38709i
\(665\) −7.54261 −0.292490
\(666\) −4.87682 15.1915i −0.188973 0.588658i
\(667\) −26.7966 26.7966i −1.03757 1.03757i
\(668\) 0.0675075 0.984340i 0.00261194 0.0380853i
\(669\) −5.75842 + 25.7190i −0.222633 + 0.994352i
\(670\) 0.219755 6.41611i 0.00848988 0.247876i
\(671\) −9.01513 15.6147i −0.348025 0.602797i
\(672\) 3.85017 + 5.00470i 0.148524 + 0.193060i
\(673\) −0.408559 + 0.707645i −0.0157488 + 0.0272777i −0.873792 0.486299i \(-0.838347\pi\)
0.858044 + 0.513577i \(0.171680\pi\)
\(674\) 19.6151 + 12.2386i 0.755545 + 0.471414i
\(675\) −1.85513 4.55967i −0.0714039 0.175502i
\(676\) 15.8145 7.73946i 0.608249 0.297672i
\(677\) 31.9657 8.56517i 1.22854 0.329186i 0.414529 0.910036i \(-0.363946\pi\)
0.814011 + 0.580850i \(0.197280\pi\)
\(678\) −14.3216 3.72566i −0.550017 0.143083i
\(679\) −4.72413 8.18243i −0.181295 0.314013i
\(680\) −6.20916 + 16.2730i −0.238110 + 0.624042i
\(681\) 13.9813 + 22.0483i 0.535765 + 0.844891i
\(682\) 1.33886 + 0.408351i 0.0512676 + 0.0156366i
\(683\) −21.1555 + 21.1555i −0.809494 + 0.809494i −0.984557 0.175063i \(-0.943987\pi\)
0.175063 + 0.984557i \(0.443987\pi\)
\(684\) 25.0232 + 24.3033i 0.956787 + 0.929260i
\(685\) 15.8097 + 15.8097i 0.604056 + 0.604056i
\(686\) −10.9279 + 5.81985i −0.417229 + 0.222203i
\(687\) 0.773828 + 18.6203i 0.0295234 + 0.710410i
\(688\) −2.05530 2.71233i −0.0783576 0.103407i
\(689\) 8.17337 4.71890i 0.311381 0.179776i
\(690\) 19.8404 34.9511i 0.755310 1.33056i
\(691\) 6.57213 + 24.5275i 0.250016 + 0.933071i 0.970796 + 0.239908i \(0.0771171\pi\)
−0.720780 + 0.693164i \(0.756216\pi\)
\(692\) 38.8114 + 13.3057i 1.47539 + 0.505808i
\(693\) −10.5389 + 3.78583i −0.400341 + 0.143812i
\(694\) 11.1497 2.58198i 0.423238 0.0980108i
\(695\) −20.1562 11.6372i −0.764568 0.441423i
\(696\) 10.1620 + 20.3864i 0.385189 + 0.772745i
\(697\) 5.20926 3.00757i 0.197315 0.113920i
\(698\) −17.2200 + 16.0795i −0.651788 + 0.608618i
\(699\) 1.06432 + 3.40045i 0.0402561 + 0.128617i
\(700\) −0.0835456 + 1.21820i −0.00315773 + 0.0460434i
\(701\) 15.7130 15.7130i 0.593472 0.593472i −0.345096 0.938568i \(-0.612153\pi\)
0.938568 + 0.345096i \(0.112153\pi\)
\(702\) −6.31972 + 13.6631i −0.238522 + 0.515680i
\(703\) 21.8637i 0.824605i
\(704\) 2.61094 + 46.2634i 0.0984037 + 1.74362i
\(705\) 13.0122 24.8686i 0.490068 0.936607i
\(706\) −18.4546 0.632080i −0.694548 0.0237886i
\(707\) 0.407001 1.51895i 0.0153069 0.0571260i
\(708\) 1.54922 + 0.950986i 0.0582234 + 0.0357403i
\(709\) 1.33304 + 4.97496i 0.0500632 + 0.186838i 0.986429 0.164187i \(-0.0524999\pi\)
−0.936366 + 0.351025i \(0.885833\pi\)
\(710\) 42.4739 9.83583i 1.59402 0.369132i
\(711\) −32.5988 + 2.71418i −1.22255 + 0.101790i
\(712\) 1.12153 10.8808i 0.0420311 0.407775i
\(713\) 0.696366 1.20614i 0.0260791 0.0451704i
\(714\) −1.28378 4.65498i −0.0480442 0.174208i
\(715\) 6.18236 23.0729i 0.231207 0.862877i
\(716\) −20.8032 + 4.07265i −0.777453 + 0.152202i
\(717\) 9.56552 10.3950i 0.357231 0.388210i
\(718\) 14.0539 + 26.3890i 0.524488 + 0.984828i
\(719\) 21.0741 0.785932 0.392966 0.919553i \(-0.371449\pi\)
0.392966 + 0.919553i \(0.371449\pi\)
\(720\) −17.9770 + 16.1372i −0.669963 + 0.601396i
\(721\) −2.58110 −0.0961253
\(722\) −9.83881 18.4743i −0.366163 0.687541i
\(723\) 19.6992 + 4.41061i 0.732622 + 0.164032i
\(724\) −0.477914 2.44120i −0.0177615 0.0907264i
\(725\) −1.14008 + 4.25483i −0.0423414 + 0.158020i
\(726\) −53.4538 13.9057i −1.98386 0.516087i
\(727\) 6.94402 12.0274i 0.257539 0.446071i −0.708043 0.706169i \(-0.750422\pi\)
0.965582 + 0.260098i \(0.0837550\pi\)
\(728\) 2.89723 2.35578i 0.107378 0.0873110i
\(729\) 6.65913 + 26.1659i 0.246634 + 0.969109i
\(730\) 25.8993 5.99758i 0.958575 0.221981i
\(731\) 0.673562 + 2.51377i 0.0249126 + 0.0929751i
\(732\) 10.7795 + 0.290468i 0.398420 + 0.0107360i
\(733\) 8.92809 33.3201i 0.329767 1.23071i −0.579666 0.814854i \(-0.696817\pi\)
0.909433 0.415851i \(-0.136516\pi\)
\(734\) −45.2947 1.55137i −1.67186 0.0572620i
\(735\) −12.2955 19.3898i −0.453527 0.715203i
\(736\) 45.4309 + 7.85398i 1.67460 + 0.289502i
\(737\) 13.0611i 0.481113i
\(738\) 8.33289 0.407231i 0.306738 0.0149904i
\(739\) −14.5953 + 14.5953i −0.536895 + 0.536895i −0.922616 0.385721i \(-0.873953\pi\)
0.385721 + 0.922616i \(0.373953\pi\)
\(740\) −15.1058 1.03598i −0.555299 0.0380832i
\(741\) 13.9684 15.1798i 0.513144 0.557644i
\(742\) −3.06890 + 2.86564i −0.112663 + 0.105201i
\(743\) 45.2494 26.1248i 1.66004 0.958424i 0.687347 0.726330i \(-0.258775\pi\)
0.972693 0.232095i \(-0.0745580\pi\)
\(744\) −0.627037 + 0.554655i −0.0229883 + 0.0203346i
\(745\) 38.4099 + 22.1760i 1.40723 + 0.812464i
\(746\) 0.987883 0.228768i 0.0361690 0.00837577i
\(747\) −24.8037 + 29.3091i −0.907520 + 1.07237i
\(748\) 11.4917 33.5202i 0.420180 1.22562i
\(749\) 0.462476 + 1.72599i 0.0168985 + 0.0630661i
\(750\) −29.3263 + 0.214003i −1.07085 + 0.00781427i
\(751\) −12.4720 + 7.20072i −0.455110 + 0.262758i −0.709986 0.704216i \(-0.751299\pi\)
0.254876 + 0.966974i \(0.417965\pi\)
\(752\) 31.8965 + 4.39570i 1.16315 + 0.160295i
\(753\) 0.142985 + 0.0748154i 0.00521068 + 0.00272642i
\(754\) 11.8897 6.33207i 0.432997 0.230600i
\(755\) −23.1503 23.1503i −0.842526 0.842526i
\(756\) 1.36776 6.55621i 0.0497450 0.238447i
\(757\) −18.7302 + 18.7302i −0.680761 + 0.680761i −0.960172 0.279411i \(-0.909861\pi\)
0.279411 + 0.960172i \(0.409861\pi\)
\(758\) −6.98255 2.12967i −0.253618 0.0773531i
\(759\) −37.9072 + 72.4474i −1.37594 + 2.62967i
\(760\) 30.2145 13.5251i 1.09600 0.490608i
\(761\) 22.9842 + 39.8099i 0.833178 + 1.44311i 0.895505 + 0.445050i \(0.146814\pi\)
−0.0623277 + 0.998056i \(0.519852\pi\)
\(762\) 10.1526 10.3019i 0.367790 0.373197i
\(763\) 9.51352 2.54914i 0.344413 0.0922851i
\(764\) −6.99024 14.2835i −0.252898 0.516761i
\(765\) 17.3862 6.24552i 0.628598 0.225807i
\(766\) 23.3638 + 14.5776i 0.844168 + 0.526709i
\(767\) 0.537503 0.930983i 0.0194081 0.0336159i
\(768\) −24.3974 13.1440i −0.880366 0.474294i
\(769\) 8.08642 + 14.0061i 0.291604 + 0.505072i 0.974189 0.225733i \(-0.0724778\pi\)
−0.682585 + 0.730806i \(0.739144\pi\)
\(770\) −0.363770 + 10.6209i −0.0131094 + 0.382749i
\(771\) 21.7591 + 20.0228i 0.783636 + 0.721102i
\(772\) −11.7900 0.808579i −0.424333 0.0291014i
\(773\) 3.33435 + 3.33435i 0.119928 +