Properties

Label 322.2.k.a.83.7
Level $322$
Weight $2$
Character 322.83
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 83.7
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(1.70070 - 1.47367i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.0506866 - 0.352533i) q^{5} +(-1.21663 + 1.89312i) q^{6} +(-2.34558 - 1.22403i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.293752 - 2.04309i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(1.70070 - 1.47367i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.0506866 - 0.352533i) q^{5} +(-1.21663 + 1.89312i) q^{6} +(-2.34558 - 1.22403i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.293752 - 2.04309i) q^{9} +(0.147953 + 0.323973i) q^{10} +(1.11200 - 3.78713i) q^{11} +(0.633998 - 2.15920i) q^{12} +(4.94840 - 2.25986i) q^{13} +(2.59542 + 0.513622i) q^{14} +(-0.605719 - 0.524859i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-0.299955 - 0.192770i) q^{17} +(0.293752 + 2.04309i) q^{18} +(-6.58234 + 4.23021i) q^{19} +(-0.233234 - 0.269166i) q^{20} +(-5.79296 + 1.37490i) q^{21} +3.94701i q^{22} +(-1.27171 - 4.62415i) q^{23} +2.25035i q^{24} +(4.67575 - 1.37293i) q^{25} +(-4.11128 + 3.56244i) q^{26} +(1.13865 + 1.77178i) q^{27} +(-2.63499 + 0.238397i) q^{28} +(-4.56067 - 2.93096i) q^{29} +(0.729053 + 0.332947i) q^{30} +(2.36517 + 2.04943i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-3.68979 - 8.07950i) q^{33} +(0.342115 + 0.100454i) q^{34} +(-0.312621 + 0.888936i) q^{35} +(-0.857457 - 1.87757i) q^{36} +(7.71567 + 1.10935i) q^{37} +(5.12392 - 5.91332i) q^{38} +(5.08548 - 11.1356i) q^{39} +(0.299619 + 0.192553i) q^{40} +(4.14319 - 0.595701i) q^{41} +(5.17095 - 2.95127i) q^{42} +(-2.04884 + 1.77533i) q^{43} +(-1.11200 - 3.78713i) q^{44} -0.735144 q^{45} +(2.52297 + 4.07856i) q^{46} +12.5685i q^{47} +(-0.633998 - 2.15920i) q^{48} +(4.00350 + 5.74212i) q^{49} +(-4.09956 + 2.63462i) q^{50} +(-0.794214 + 0.114191i) q^{51} +(2.94108 - 4.57642i) q^{52} +(-7.68644 - 3.51028i) q^{53} +(-1.59169 - 1.37921i) q^{54} +(-1.39145 - 0.200060i) q^{55} +(2.46109 - 0.971103i) q^{56} +(-4.96068 + 16.8945i) q^{57} +(5.20168 + 1.52735i) q^{58} +(5.12076 - 2.33857i) q^{59} +(-0.793324 - 0.114063i) q^{60} +(7.15317 - 8.25520i) q^{61} +(-2.84676 - 1.30007i) q^{62} +(-3.18982 + 4.43267i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-1.04749 - 1.62993i) q^{65} +(5.81658 + 6.71269i) q^{66} +(2.18847 + 7.45323i) q^{67} -0.356558 q^{68} +(-8.97727 - 5.99023i) q^{69} +(0.0495157 - 0.941003i) q^{70} +(-10.0458 + 2.94971i) q^{71} +(1.35170 + 1.55994i) q^{72} +(5.30445 + 8.25389i) q^{73} +(-7.71567 + 1.10935i) q^{74} +(5.92884 - 9.22546i) q^{75} +(-3.25039 + 7.11736i) q^{76} +(-7.24384 + 7.52189i) q^{77} +(-1.74221 + 12.1173i) q^{78} +(-2.42918 + 1.10937i) q^{79} +(-0.341731 - 0.100341i) q^{80} +(10.4890 + 3.07984i) q^{81} +(-3.80753 + 1.73884i) q^{82} +(0.216785 - 1.50778i) q^{83} +(-4.13002 + 4.28854i) q^{84} +(-0.0527539 + 0.115515i) q^{85} +(1.46568 - 2.28064i) q^{86} +(-12.0756 + 1.73621i) q^{87} +(2.13391 + 3.32043i) q^{88} +(9.48954 + 10.9515i) q^{89} +(0.705366 - 0.207114i) q^{90} +(-14.3730 - 0.756309i) q^{91} +(-3.56984 - 3.20254i) q^{92} +7.04265 q^{93} +(-3.54094 - 12.0593i) q^{94} +(1.82492 + 2.10607i) q^{95} +(1.21663 + 1.89312i) q^{96} +(1.69112 + 11.7620i) q^{97} +(-5.45907 - 4.38161i) q^{98} +(-7.41078 - 3.38439i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + 11q^{14} - 8q^{16} - 6q^{18} - 33q^{21} + 18q^{23} - 58q^{25} - 11q^{28} + 16q^{29} + 22q^{30} - 8q^{32} + 47q^{35} + 16q^{36} - 22q^{37} - 30q^{39} - 22q^{42} + 44q^{43} - 4q^{46} + 17q^{49} + 8q^{50} - 88q^{51} + 44q^{53} + 11q^{56} - 22q^{57} - 28q^{58} + 121q^{63} - 8q^{64} - 154q^{65} + 58q^{70} + 42q^{71} - 28q^{72} + 22q^{74} + 38q^{77} + 58q^{78} - 88q^{79} - 26q^{81} - 11q^{84} + 26q^{85} - 132q^{86} + 22q^{88} - 4q^{92} + 152q^{93} - 68q^{95} - 27q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) 1.70070 1.47367i 0.981902 0.850823i −0.00691181 0.999976i \(-0.502200\pi\)
0.988814 + 0.149153i \(0.0476547\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.0506866 0.352533i −0.0226677 0.157657i 0.975344 0.220692i \(-0.0708314\pi\)
−0.998011 + 0.0630341i \(0.979922\pi\)
\(6\) −1.21663 + 1.89312i −0.496689 + 0.772863i
\(7\) −2.34558 1.22403i −0.886546 0.462640i
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) 0.293752 2.04309i 0.0979172 0.681029i
\(10\) 0.147953 + 0.323973i 0.0467870 + 0.102449i
\(11\) 1.11200 3.78713i 0.335281 1.14186i −0.603505 0.797359i \(-0.706230\pi\)
0.938786 0.344502i \(-0.111952\pi\)
\(12\) 0.633998 2.15920i 0.183020 0.623307i
\(13\) 4.94840 2.25986i 1.37244 0.626772i 0.413531 0.910490i \(-0.364295\pi\)
0.958908 + 0.283719i \(0.0915682\pi\)
\(14\) 2.59542 + 0.513622i 0.693655 + 0.137271i
\(15\) −0.605719 0.524859i −0.156396 0.135518i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −0.299955 0.192770i −0.0727499 0.0467535i 0.503760 0.863844i \(-0.331950\pi\)
−0.576510 + 0.817090i \(0.695586\pi\)
\(18\) 0.293752 + 2.04309i 0.0692379 + 0.481560i
\(19\) −6.58234 + 4.23021i −1.51009 + 0.970477i −0.516642 + 0.856201i \(0.672818\pi\)
−0.993449 + 0.114275i \(0.963545\pi\)
\(20\) −0.233234 0.269166i −0.0521527 0.0601874i
\(21\) −5.79296 + 1.37490i −1.26413 + 0.300027i
\(22\) 3.94701i 0.841505i
\(23\) −1.27171 4.62415i −0.265170 0.964202i
\(24\) 2.25035i 0.459352i
\(25\) 4.67575 1.37293i 0.935151 0.274585i
\(26\) −4.11128 + 3.56244i −0.806288 + 0.698652i
\(27\) 1.13865 + 1.77178i 0.219134 + 0.340978i
\(28\) −2.63499 + 0.238397i −0.497966 + 0.0450528i
\(29\) −4.56067 2.93096i −0.846895 0.544266i 0.0437102 0.999044i \(-0.486082\pi\)
−0.890605 + 0.454778i \(0.849719\pi\)
\(30\) 0.729053 + 0.332947i 0.133106 + 0.0607876i
\(31\) 2.36517 + 2.04943i 0.424797 + 0.368089i 0.840865 0.541245i \(-0.182047\pi\)
−0.416068 + 0.909334i \(0.636592\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) −3.68979 8.07950i −0.642309 1.40646i
\(34\) 0.342115 + 0.100454i 0.0586722 + 0.0172277i
\(35\) −0.312621 + 0.888936i −0.0528426 + 0.150258i
\(36\) −0.857457 1.87757i −0.142909 0.312928i
\(37\) 7.71567 + 1.10935i 1.26845 + 0.182375i 0.743487 0.668750i \(-0.233170\pi\)
0.524962 + 0.851126i \(0.324080\pi\)
\(38\) 5.12392 5.91332i 0.831209 0.959266i
\(39\) 5.08548 11.1356i 0.814328 1.78313i
\(40\) 0.299619 + 0.192553i 0.0473739 + 0.0304454i
\(41\) 4.14319 0.595701i 0.647058 0.0930328i 0.189031 0.981971i \(-0.439465\pi\)
0.458027 + 0.888938i \(0.348556\pi\)
\(42\) 5.17095 2.95127i 0.797895 0.455390i
\(43\) −2.04884 + 1.77533i −0.312445 + 0.270735i −0.796939 0.604059i \(-0.793549\pi\)
0.484495 + 0.874794i \(0.339004\pi\)
\(44\) −1.11200 3.78713i −0.167640 0.570931i
\(45\) −0.735144 −0.109589
\(46\) 2.52297 + 4.07856i 0.371992 + 0.601350i
\(47\) 12.5685i 1.83330i 0.399693 + 0.916649i \(0.369117\pi\)
−0.399693 + 0.916649i \(0.630883\pi\)
\(48\) −0.633998 2.15920i −0.0915098 0.311654i
\(49\) 4.00350 + 5.74212i 0.571929 + 0.820303i
\(50\) −4.09956 + 2.63462i −0.579765 + 0.372592i
\(51\) −0.794214 + 0.114191i −0.111212 + 0.0159899i
\(52\) 2.94108 4.57642i 0.407855 0.634635i
\(53\) −7.68644 3.51028i −1.05581 0.482174i −0.189607 0.981860i \(-0.560721\pi\)
−0.866206 + 0.499686i \(0.833449\pi\)
\(54\) −1.59169 1.37921i −0.216602 0.187687i
\(55\) −1.39145 0.200060i −0.187623 0.0269761i
\(56\) 2.46109 0.971103i 0.328877 0.129769i
\(57\) −4.96068 + 16.8945i −0.657058 + 2.23773i
\(58\) 5.20168 + 1.52735i 0.683013 + 0.200551i
\(59\) 5.12076 2.33857i 0.666666 0.304456i −0.0531853 0.998585i \(-0.516937\pi\)
0.719851 + 0.694129i \(0.244210\pi\)
\(60\) −0.793324 0.114063i −0.102418 0.0147254i
\(61\) 7.15317 8.25520i 0.915870 1.05697i −0.0823063 0.996607i \(-0.526229\pi\)
0.998176 0.0603634i \(-0.0192260\pi\)
\(62\) −2.84676 1.30007i −0.361539 0.165109i
\(63\) −3.18982 + 4.43267i −0.401879 + 0.558463i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) −1.04749 1.62993i −0.129925 0.202168i
\(66\) 5.81658 + 6.71269i 0.715972 + 0.826276i
\(67\) 2.18847 + 7.45323i 0.267364 + 0.910557i 0.978281 + 0.207282i \(0.0664616\pi\)
−0.710918 + 0.703275i \(0.751720\pi\)
\(68\) −0.356558 −0.0432390
\(69\) −8.97727 5.99023i −1.08074 0.721139i
\(70\) 0.0495157 0.941003i 0.00591826 0.112471i
\(71\) −10.0458 + 2.94971i −1.19222 + 0.350067i −0.816872 0.576819i \(-0.804294\pi\)
−0.375345 + 0.926885i \(0.622476\pi\)
\(72\) 1.35170 + 1.55994i 0.159299 + 0.183841i
\(73\) 5.30445 + 8.25389i 0.620839 + 0.966045i 0.999184 + 0.0403804i \(0.0128570\pi\)
−0.378345 + 0.925665i \(0.623507\pi\)
\(74\) −7.71567 + 1.10935i −0.896929 + 0.128959i
\(75\) 5.92884 9.22546i 0.684604 1.06526i
\(76\) −3.25039 + 7.11736i −0.372845 + 0.816417i
\(77\) −7.24384 + 7.52189i −0.825513 + 0.857199i
\(78\) −1.74221 + 12.1173i −0.197266 + 1.37202i
\(79\) −2.42918 + 1.10937i −0.273305 + 0.124814i −0.547353 0.836902i \(-0.684364\pi\)
0.274048 + 0.961716i \(0.411637\pi\)
\(80\) −0.341731 0.100341i −0.0382067 0.0112185i
\(81\) 10.4890 + 3.07984i 1.16544 + 0.342205i
\(82\) −3.80753 + 1.73884i −0.420472 + 0.192023i
\(83\) 0.216785 1.50778i 0.0237953 0.165500i −0.974459 0.224567i \(-0.927903\pi\)
0.998254 + 0.0590667i \(0.0188125\pi\)
\(84\) −4.13002 + 4.28854i −0.450622 + 0.467919i
\(85\) −0.0527539 + 0.115515i −0.00572196 + 0.0125294i
\(86\) 1.46568 2.28064i 0.158048 0.245928i
\(87\) −12.0756 + 1.73621i −1.29464 + 0.186141i
\(88\) 2.13391 + 3.32043i 0.227476 + 0.353959i
\(89\) 9.48954 + 10.9515i 1.00589 + 1.16086i 0.986948 + 0.161037i \(0.0514839\pi\)
0.0189407 + 0.999821i \(0.493971\pi\)
\(90\) 0.705366 0.207114i 0.0743521 0.0218317i
\(91\) −14.3730 0.756309i −1.50670 0.0792827i
\(92\) −3.56984 3.20254i −0.372181 0.333888i
\(93\) 7.04265 0.730288
\(94\) −3.54094 12.0593i −0.365220 1.24383i
\(95\) 1.82492 + 2.10607i 0.187233 + 0.216079i
\(96\) 1.21663 + 1.89312i 0.124172 + 0.193216i
\(97\) 1.69112 + 11.7620i 0.171707 + 1.19425i 0.875277 + 0.483621i \(0.160679\pi\)
−0.703571 + 0.710625i \(0.748412\pi\)
\(98\) −5.45907 4.38161i −0.551450 0.442610i
\(99\) −7.41078 3.38439i −0.744811 0.340144i
\(100\) 3.19124 3.68288i 0.319124 0.368288i
\(101\) −13.4997 1.94096i −1.34327 0.193133i −0.567095 0.823652i \(-0.691933\pi\)
−0.776173 + 0.630520i \(0.782842\pi\)
\(102\) 0.729872 0.333321i 0.0722681 0.0330037i
\(103\) 6.64398 + 1.95085i 0.654650 + 0.192223i 0.592157 0.805823i \(-0.298277\pi\)
0.0624935 + 0.998045i \(0.480095\pi\)
\(104\) −1.53262 + 5.21964i −0.150286 + 0.511828i
\(105\) 0.778321 + 1.97252i 0.0759563 + 0.192498i
\(106\) 8.36404 + 1.20257i 0.812388 + 0.116804i
\(107\) 2.98868 + 2.58971i 0.288927 + 0.250356i 0.787249 0.616636i \(-0.211505\pi\)
−0.498322 + 0.866992i \(0.666050\pi\)
\(108\) 1.91579 + 0.874911i 0.184347 + 0.0841884i
\(109\) −2.56422 + 3.99001i −0.245608 + 0.382174i −0.942068 0.335422i \(-0.891121\pi\)
0.696460 + 0.717596i \(0.254757\pi\)
\(110\) 1.39145 0.200060i 0.132669 0.0190750i
\(111\) 14.7569 9.48368i 1.40066 0.900151i
\(112\) −2.08781 + 1.62514i −0.197279 + 0.153561i
\(113\) 0.984782 + 3.35386i 0.0926405 + 0.315505i 0.992756 0.120146i \(-0.0383364\pi\)
−0.900116 + 0.435651i \(0.856518\pi\)
\(114\) 17.6078i 1.64912i
\(115\) −1.56570 + 0.682702i −0.146003 + 0.0636623i
\(116\) −5.42127 −0.503353
\(117\) −3.16349 10.7738i −0.292464 0.996042i
\(118\) −4.25448 + 3.68653i −0.391656 + 0.339372i
\(119\) 0.467614 + 0.819311i 0.0428661 + 0.0751062i
\(120\) 0.793324 0.114063i 0.0724202 0.0104125i
\(121\) −3.85199 2.47552i −0.350181 0.225047i
\(122\) −4.53766 + 9.93609i −0.410821 + 0.899572i
\(123\) 6.16848 7.11880i 0.556193 0.641881i
\(124\) 3.09772 + 0.445384i 0.278183 + 0.0399967i
\(125\) −1.46077 3.19863i −0.130655 0.286094i
\(126\) 1.81178 5.15179i 0.161406 0.458958i
\(127\) −2.85940 0.839596i −0.253731 0.0745021i 0.152394 0.988320i \(-0.451302\pi\)
−0.406124 + 0.913818i \(0.633120\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −0.868222 + 6.03862i −0.0764427 + 0.531671i
\(130\) 1.46426 + 1.26879i 0.128424 + 0.111280i
\(131\) −2.03886 0.931118i −0.178136 0.0813522i 0.324351 0.945937i \(-0.394854\pi\)
−0.502487 + 0.864585i \(0.667582\pi\)
\(132\) −7.47215 4.80206i −0.650368 0.417966i
\(133\) 20.6173 1.86532i 1.78775 0.161744i
\(134\) −4.19963 6.53476i −0.362793 0.564517i
\(135\) 0.566895 0.491217i 0.0487905 0.0422772i
\(136\) 0.342115 0.100454i 0.0293361 0.00861385i
\(137\) 15.4518i 1.32013i −0.751207 0.660067i \(-0.770528\pi\)
0.751207 0.660067i \(-0.229472\pi\)
\(138\) 10.3013 + 3.21839i 0.876902 + 0.273968i
\(139\) 1.00553i 0.0852879i −0.999090 0.0426439i \(-0.986422\pi\)
0.999090 0.0426439i \(-0.0135781\pi\)
\(140\) 0.217601 + 0.916836i 0.0183907 + 0.0774868i
\(141\) 18.5217 + 21.3752i 1.55981 + 1.80012i
\(142\) 8.80785 5.66046i 0.739138 0.475015i
\(143\) −3.05574 21.2532i −0.255534 1.77728i
\(144\) −1.73643 1.11594i −0.144702 0.0929946i
\(145\) −0.802096 + 1.75634i −0.0666104 + 0.145856i
\(146\) −7.41498 6.42511i −0.613668 0.531746i
\(147\) 15.2708 + 3.86582i 1.25951 + 0.318848i
\(148\) 7.09060 3.23817i 0.582843 0.266176i
\(149\) 1.35517 4.61530i 0.111020 0.378100i −0.885174 0.465260i \(-0.845961\pi\)
0.996194 + 0.0871598i \(0.0277791\pi\)
\(150\) −3.08957 + 10.5221i −0.252262 + 0.859126i
\(151\) −5.43731 11.9060i −0.442482 0.968900i −0.991136 0.132851i \(-0.957587\pi\)
0.548654 0.836049i \(-0.315140\pi\)
\(152\) 1.11353 7.74480i 0.0903195 0.628186i
\(153\) −0.481958 + 0.556209i −0.0389640 + 0.0449668i
\(154\) 4.83126 9.25803i 0.389314 0.746033i
\(155\) 0.602610 0.937679i 0.0484028 0.0753162i
\(156\) −1.74221 12.1173i −0.139488 0.970162i
\(157\) −7.86241 + 5.05287i −0.627489 + 0.403263i −0.815379 0.578927i \(-0.803471\pi\)
0.187890 + 0.982190i \(0.439835\pi\)
\(158\) 2.01824 1.74881i 0.160562 0.139128i
\(159\) −18.2454 + 5.35732i −1.44695 + 0.424863i
\(160\) 0.356158 0.0281568
\(161\) −2.67719 + 12.4029i −0.210992 + 0.977488i
\(162\) −10.9318 −0.858883
\(163\) 9.34852 2.74497i 0.732233 0.215003i 0.105700 0.994398i \(-0.466292\pi\)
0.626533 + 0.779395i \(0.284473\pi\)
\(164\) 3.16341 2.74111i 0.247021 0.214045i
\(165\) −2.66127 + 1.71029i −0.207179 + 0.133146i
\(166\) 0.216785 + 1.50778i 0.0168258 + 0.117026i
\(167\) 0.0385634 0.0600059i 0.00298413 0.00464340i −0.839758 0.542960i \(-0.817303\pi\)
0.842742 + 0.538317i \(0.180940\pi\)
\(168\) 2.75450 5.27839i 0.212514 0.407237i
\(169\) 10.8665 12.5406i 0.835883 0.964661i
\(170\) 0.0180727 0.125698i 0.00138611 0.00964062i
\(171\) 6.70912 + 14.6909i 0.513059 + 1.12344i
\(172\) −0.763777 + 2.60119i −0.0582375 + 0.198339i
\(173\) 0.459715 1.56565i 0.0349515 0.119034i −0.940170 0.340707i \(-0.889334\pi\)
0.975121 + 0.221673i \(0.0711518\pi\)
\(174\) 11.0973 5.06798i 0.841286 0.384202i
\(175\) −12.6479 2.50296i −0.956089 0.189206i
\(176\) −2.98295 2.58474i −0.224848 0.194832i
\(177\) 5.26261 11.5235i 0.395562 0.866161i
\(178\) −12.1905 7.83439i −0.913720 0.587212i
\(179\) −2.45312 17.0618i −0.183354 1.27526i −0.848761 0.528777i \(-0.822651\pi\)
0.665406 0.746481i \(-0.268258\pi\)
\(180\) −0.618443 + 0.397449i −0.0460960 + 0.0296241i
\(181\) −3.52695 4.07032i −0.262156 0.302544i 0.609377 0.792880i \(-0.291419\pi\)
−0.871533 + 0.490336i \(0.836874\pi\)
\(182\) 14.0039 3.32367i 1.03804 0.246367i
\(183\) 24.5811i 1.81709i
\(184\) 4.32749 + 2.06708i 0.319027 + 0.152387i
\(185\) 2.77626i 0.204114i
\(186\) −6.75737 + 1.98414i −0.495474 + 0.145484i
\(187\) −1.06359 + 0.921609i −0.0777777 + 0.0673947i
\(188\) 6.79502 + 10.5733i 0.495578 + 0.771134i
\(189\) −0.502092 5.54959i −0.0365218 0.403673i
\(190\) −2.34435 1.50662i −0.170077 0.109302i
\(191\) −8.02100 3.66307i −0.580379 0.265050i 0.103520 0.994627i \(-0.466990\pi\)
−0.683898 + 0.729577i \(0.739717\pi\)
\(192\) −1.70070 1.47367i −0.122738 0.106353i
\(193\) −2.27293 + 15.8085i −0.163609 + 1.13792i 0.728152 + 0.685416i \(0.240380\pi\)
−0.891760 + 0.452508i \(0.850529\pi\)
\(194\) −4.93634 10.8091i −0.354409 0.776047i
\(195\) −4.18345 1.22837i −0.299583 0.0879654i
\(196\) 6.47239 + 2.66613i 0.462313 + 0.190438i
\(197\) 4.51482 + 9.88608i 0.321668 + 0.704354i 0.999524 0.0308401i \(-0.00981828\pi\)
−0.677857 + 0.735194i \(0.737091\pi\)
\(198\) 8.06408 + 1.15944i 0.573089 + 0.0823978i
\(199\) 12.9438 14.9379i 0.917561 1.05892i −0.0805048 0.996754i \(-0.525653\pi\)
0.998066 0.0621675i \(-0.0198013\pi\)
\(200\) −2.02438 + 4.43277i −0.143145 + 0.313444i
\(201\) 14.7055 + 9.45067i 1.03725 + 0.666599i
\(202\) 13.4997 1.94096i 0.949834 0.136566i
\(203\) 7.10983 + 12.4572i 0.499012 + 0.874324i
\(204\) −0.606399 + 0.525448i −0.0424565 + 0.0367887i
\(205\) −0.420008 1.43042i −0.0293346 0.0999046i
\(206\) −6.92447 −0.482450
\(207\) −9.82111 + 1.23987i −0.682614 + 0.0861767i
\(208\) 5.44000i 0.377196i
\(209\) 8.70078 + 29.6321i 0.601845 + 2.04970i
\(210\) −1.30252 1.67334i −0.0898821 0.115471i
\(211\) −10.8072 + 6.94538i −0.744000 + 0.478140i −0.856910 0.515465i \(-0.827619\pi\)
0.112910 + 0.993605i \(0.463983\pi\)
\(212\) −8.36404 + 1.20257i −0.574445 + 0.0825927i
\(213\) −12.7380 + 19.8208i −0.872796 + 1.35810i
\(214\) −3.59722 1.64280i −0.245901 0.112299i
\(215\) 0.729710 + 0.632297i 0.0497658 + 0.0431223i
\(216\) −2.08468 0.299731i −0.141844 0.0203941i
\(217\) −3.03913 7.70215i −0.206310 0.522856i
\(218\) 1.33624 4.55081i 0.0905015 0.308220i
\(219\) 21.1848 + 6.22042i 1.43154 + 0.420337i
\(220\) −1.27872 + 0.583973i −0.0862114 + 0.0393714i
\(221\) −1.91993 0.276044i −0.129148 0.0185688i
\(222\) −11.4873 + 13.2570i −0.770975 + 0.889753i
\(223\) −24.1994 11.0515i −1.62051 0.740062i −0.621451 0.783453i \(-0.713457\pi\)
−0.999058 + 0.0433912i \(0.986184\pi\)
\(224\) 1.54538 2.14751i 0.103255 0.143486i
\(225\) −1.43150 9.95627i −0.0954331 0.663752i
\(226\) −1.88978 2.94056i −0.125707 0.195603i
\(227\) −4.36859 5.04162i −0.289953 0.334624i 0.592020 0.805923i \(-0.298331\pi\)
−0.881973 + 0.471299i \(0.843785\pi\)
\(228\) 4.96068 + 16.8945i 0.328529 + 1.11887i
\(229\) −13.8151 −0.912928 −0.456464 0.889742i \(-0.650884\pi\)
−0.456464 + 0.889742i \(0.650884\pi\)
\(230\) 1.30994 1.09616i 0.0863751 0.0722785i
\(231\) −1.23486 + 23.4675i −0.0812481 + 1.54405i
\(232\) 5.20168 1.52735i 0.341507 0.100275i
\(233\) 10.9033 + 12.5830i 0.714297 + 0.824342i 0.990609 0.136725i \(-0.0436578\pi\)
−0.276312 + 0.961068i \(0.589112\pi\)
\(234\) 6.07068 + 9.44617i 0.396853 + 0.617515i
\(235\) 4.43079 0.637052i 0.289033 0.0415567i
\(236\) 3.04353 4.73582i 0.198117 0.308276i
\(237\) −2.49648 + 5.46653i −0.162164 + 0.355089i
\(238\) −0.679499 0.654381i −0.0440454 0.0424173i
\(239\) 1.71493 11.9276i 0.110930 0.771532i −0.856089 0.516828i \(-0.827113\pi\)
0.967019 0.254704i \(-0.0819781\pi\)
\(240\) −0.729053 + 0.332947i −0.0470602 + 0.0214917i
\(241\) −22.7214 6.67161i −1.46361 0.429756i −0.549597 0.835430i \(-0.685219\pi\)
−0.914018 + 0.405674i \(0.867037\pi\)
\(242\) 4.39339 + 1.29002i 0.282418 + 0.0829254i
\(243\) 16.6300 7.59465i 1.06681 0.487197i
\(244\) 1.55453 10.8120i 0.0995188 0.692168i
\(245\) 1.82136 1.70241i 0.116363 0.108763i
\(246\) −3.91301 + 8.56830i −0.249485 + 0.546295i
\(247\) −23.0123 + 35.8079i −1.46424 + 2.27840i
\(248\) −3.09772 + 0.445384i −0.196705 + 0.0282819i
\(249\) −1.85327 2.88375i −0.117446 0.182750i
\(250\) 2.30275 + 2.65752i 0.145639 + 0.168076i
\(251\) −6.02371 + 1.76872i −0.380213 + 0.111641i −0.466254 0.884651i \(-0.654397\pi\)
0.0860408 + 0.996292i \(0.472578\pi\)
\(252\) −0.286966 + 5.45354i −0.0180772 + 0.343541i
\(253\) −18.9264 0.325923i −1.18989 0.0204906i
\(254\) 2.98012 0.186989
\(255\) 0.0805120 + 0.274199i 0.00504186 + 0.0171710i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −6.28816 9.78458i −0.392245 0.610345i 0.587827 0.808986i \(-0.299983\pi\)
−0.980072 + 0.198641i \(0.936347\pi\)
\(258\) −0.868222 6.03862i −0.0540532 0.375948i
\(259\) −16.7399 12.0463i −1.04016 0.748519i
\(260\) −1.76241 0.804866i −0.109300 0.0499157i
\(261\) −7.32792 + 8.45687i −0.453587 + 0.523467i
\(262\) 2.21860 + 0.318987i 0.137066 + 0.0197071i
\(263\) 5.61192 2.56288i 0.346046 0.158034i −0.234808 0.972042i \(-0.575446\pi\)
0.580854 + 0.814008i \(0.302719\pi\)
\(264\) 8.52238 + 2.50240i 0.524516 + 0.154012i
\(265\) −0.847889 + 2.88764i −0.0520854 + 0.177387i
\(266\) −19.2566 + 7.59833i −1.18070 + 0.465884i
\(267\) 32.2778 + 4.64085i 1.97537 + 0.284015i
\(268\) 5.87057 + 5.08688i 0.358602 + 0.310731i
\(269\) 22.7886 + 10.4072i 1.38944 + 0.634537i 0.962882 0.269921i \(-0.0869977\pi\)
0.426561 + 0.904459i \(0.359725\pi\)
\(270\) −0.405540 + 0.631032i −0.0246804 + 0.0384034i
\(271\) 9.26399 1.33196i 0.562747 0.0809109i 0.144930 0.989442i \(-0.453704\pi\)
0.417817 + 0.908531i \(0.362795\pi\)
\(272\) −0.299955 + 0.192770i −0.0181875 + 0.0116884i
\(273\) −25.5588 + 19.8948i −1.54689 + 1.20409i
\(274\) 4.35326 + 14.8259i 0.262990 + 0.895663i
\(275\) 19.2344i 1.15988i
\(276\) −10.7907 0.185823i −0.649525 0.0111852i
\(277\) 18.3173 1.10058 0.550290 0.834974i \(-0.314517\pi\)
0.550290 + 0.834974i \(0.314517\pi\)
\(278\) 0.283290 + 0.964798i 0.0169906 + 0.0578648i
\(279\) 4.88194 4.23023i 0.292274 0.253257i
\(280\) −0.467090 0.818393i −0.0279139 0.0489083i
\(281\) 3.63436 0.522542i 0.216808 0.0311723i −0.0330549 0.999454i \(-0.510524\pi\)
0.249863 + 0.968281i \(0.419615\pi\)
\(282\) −23.7936 15.2912i −1.41689 0.910578i
\(283\) 4.65000 10.1821i 0.276414 0.605261i −0.719607 0.694381i \(-0.755678\pi\)
0.996021 + 0.0891200i \(0.0284055\pi\)
\(284\) −6.85633 + 7.91263i −0.406848 + 0.469528i
\(285\) 6.20731 + 0.892477i 0.367689 + 0.0528658i
\(286\) 8.91967 + 19.5314i 0.527431 + 1.15491i
\(287\) −10.4473 3.67413i −0.616687 0.216877i
\(288\) 1.98049 + 0.581523i 0.116701 + 0.0342666i
\(289\) −7.00924 15.3481i −0.412308 0.902829i
\(290\) 0.274786 1.91118i 0.0161360 0.112228i
\(291\) 20.2093 + 17.5115i 1.18469 + 1.02654i
\(292\) 8.92478 + 4.07581i 0.522283 + 0.238519i
\(293\) −2.57149 1.65260i −0.150228 0.0965457i 0.463367 0.886166i \(-0.346641\pi\)
−0.613595 + 0.789621i \(0.710277\pi\)
\(294\) −15.7413 + 0.593042i −0.918052 + 0.0345869i
\(295\) −1.08398 1.68670i −0.0631115 0.0982035i
\(296\) −5.89108 + 5.10465i −0.342412 + 0.296702i
\(297\) 7.97612 2.34200i 0.462821 0.135897i
\(298\) 4.81014i 0.278644i
\(299\) −16.7428 20.0082i −0.968264 1.15711i
\(300\) 10.9663i 0.633141i
\(301\) 6.97877 1.65634i 0.402250 0.0954697i
\(302\) 8.57138 + 9.89190i 0.493228 + 0.569215i
\(303\) −25.8193 + 16.5931i −1.48328 + 0.953246i
\(304\) 1.11353 + 7.74480i 0.0638655 + 0.444194i
\(305\) −3.27280 2.10330i −0.187400 0.120435i
\(306\) 0.305733 0.669462i 0.0174776 0.0382706i
\(307\) 17.8547 + 15.4712i 1.01902 + 0.882986i 0.993170 0.116680i \(-0.0372252\pi\)
0.0258503 + 0.999666i \(0.491771\pi\)
\(308\) −2.02727 + 10.2441i −0.115514 + 0.583714i
\(309\) 14.1743 6.47321i 0.806350 0.368248i
\(310\) −0.314025 + 1.06947i −0.0178354 + 0.0607419i
\(311\) 2.75901 9.39632i 0.156449 0.532817i −0.843542 0.537063i \(-0.819534\pi\)
0.999991 + 0.00424676i \(0.00135179\pi\)
\(312\) 5.08548 + 11.1356i 0.287909 + 0.630432i
\(313\) −2.66868 + 18.5611i −0.150843 + 1.04913i 0.763969 + 0.645253i \(0.223248\pi\)
−0.914811 + 0.403881i \(0.867661\pi\)
\(314\) 6.12037 7.06329i 0.345393 0.398604i
\(315\) 1.72434 + 0.899839i 0.0971556 + 0.0507002i
\(316\) −1.44379 + 2.24658i −0.0812194 + 0.126380i
\(317\) 0.0226976 + 0.157865i 0.00127482 + 0.00886659i 0.990449 0.137880i \(-0.0440289\pi\)
−0.989174 + 0.146747i \(0.953120\pi\)
\(318\) 15.9970 10.2806i 0.897065 0.576508i
\(319\) −16.1714 + 14.0126i −0.905424 + 0.784554i
\(320\) −0.341731 + 0.100341i −0.0191033 + 0.00560925i
\(321\) 8.89923 0.496707
\(322\) −0.925559 12.6548i −0.0515794 0.705223i
\(323\) 2.78986 0.155232
\(324\) 10.4890 3.07984i 0.582721 0.171102i
\(325\) 20.0349 17.3603i 1.11133 0.962977i
\(326\) −8.19649 + 5.26757i −0.453962 + 0.291743i
\(327\) 1.51897 + 10.5646i 0.0839990 + 0.584226i
\(328\) −2.26301 + 3.52132i −0.124954 + 0.194432i
\(329\) 15.3842 29.4803i 0.848157 1.62530i
\(330\) 2.07162 2.39078i 0.114039 0.131608i
\(331\) −1.16379 + 8.09436i −0.0639679 + 0.444906i 0.932516 + 0.361127i \(0.117608\pi\)
−0.996484 + 0.0837790i \(0.973301\pi\)
\(332\) −0.632793 1.38562i −0.0347291 0.0760460i
\(333\) 4.53298 15.4379i 0.248406 0.845993i
\(334\) −0.0200957 + 0.0684398i −0.00109959 + 0.00374486i
\(335\) 2.51658 1.14928i 0.137496 0.0627921i
\(336\) −1.15583 + 5.84061i −0.0630558 + 0.318631i
\(337\) −19.9144 17.2560i −1.08481 0.939992i −0.0863928 0.996261i \(-0.527534\pi\)
−0.998416 + 0.0562693i \(0.982079\pi\)
\(338\) −6.89322 + 15.0940i −0.374942 + 0.821008i
\(339\) 6.61730 + 4.25268i 0.359403 + 0.230974i
\(340\) 0.0180727 + 0.125698i 0.000980129 + 0.00681695i
\(341\) 10.3915 6.67823i 0.562733 0.361647i
\(342\) −10.5763 12.2057i −0.571899 0.660006i
\(343\) −2.36200 18.3690i −0.127536 0.991834i
\(344\) 2.71100i 0.146167i
\(345\) −1.65672 + 3.46841i −0.0891951 + 0.186733i
\(346\) 1.63174i 0.0877230i
\(347\) −27.2634 + 8.00525i −1.46358 + 0.429745i −0.914005 0.405703i \(-0.867027\pi\)
−0.549571 + 0.835447i \(0.685209\pi\)
\(348\) −9.21999 + 7.98916i −0.494243 + 0.428264i
\(349\) −15.2178 23.6793i −0.814588 1.26752i −0.960515 0.278228i \(-0.910253\pi\)
0.145927 0.989295i \(-0.453383\pi\)
\(350\) 12.8407 1.16175i 0.686364 0.0620979i
\(351\) 9.63846 + 6.19426i 0.514463 + 0.330625i
\(352\) 3.59032 + 1.63965i 0.191365 + 0.0873934i
\(353\) 8.24575 + 7.14498i 0.438877 + 0.380289i 0.846086 0.533046i \(-0.178953\pi\)
−0.407210 + 0.913335i \(0.633498\pi\)
\(354\) −1.80289 + 12.5394i −0.0958226 + 0.666461i
\(355\) 1.54906 + 3.39196i 0.0822154 + 0.180027i
\(356\) 13.9039 + 4.08257i 0.736907 + 0.216376i
\(357\) 2.00267 + 0.704299i 0.105992 + 0.0372754i
\(358\) 7.16061 + 15.6795i 0.378450 + 0.828690i
\(359\) 26.2762 + 3.77795i 1.38680 + 0.199392i 0.794961 0.606660i \(-0.207491\pi\)
0.591844 + 0.806053i \(0.298400\pi\)
\(360\) 0.481417 0.555585i 0.0253729 0.0292819i
\(361\) 17.5396 38.4063i 0.923136 2.02139i
\(362\) 4.53082 + 2.91178i 0.238135 + 0.153040i
\(363\) −10.1992 + 1.46642i −0.535319 + 0.0769672i
\(364\) −12.5002 + 7.13438i −0.655190 + 0.373943i
\(365\) 2.64090 2.28836i 0.138231 0.119778i
\(366\) 6.92529 + 23.5854i 0.361991 + 1.23283i
\(367\) 25.0829 1.30932 0.654659 0.755925i \(-0.272812\pi\)
0.654659 + 0.755925i \(0.272812\pi\)
\(368\) −4.73456 0.764151i −0.246806 0.0398341i
\(369\) 8.63989i 0.449775i
\(370\) 0.782162 + 2.66380i 0.0406627 + 0.138484i
\(371\) 13.7325 + 17.6421i 0.712955 + 0.915931i
\(372\) 5.92465 3.80754i 0.307179 0.197412i
\(373\) −5.45671 + 0.784557i −0.282538 + 0.0406228i −0.282127 0.959377i \(-0.591040\pi\)
−0.000410959 1.00000i \(0.500131\pi\)
\(374\) 0.760863 1.18393i 0.0393433 0.0612194i
\(375\) −7.19805 3.28724i −0.371706 0.169752i
\(376\) −9.49861 8.23059i −0.489853 0.424460i
\(377\) −29.1915 4.19711i −1.50344 0.216162i
\(378\) 2.04525 + 5.18333i 0.105196 + 0.266602i
\(379\) 3.58972 12.2255i 0.184391 0.627980i −0.814467 0.580210i \(-0.802970\pi\)
0.998858 0.0477697i \(-0.0152113\pi\)
\(380\) 2.67385 + 0.785114i 0.137166 + 0.0402755i
\(381\) −6.10028 + 2.78591i −0.312527 + 0.142726i
\(382\) 8.72809 + 1.25491i 0.446568 + 0.0642068i
\(383\) −25.5388 + 29.4733i −1.30497 + 1.50602i −0.588177 + 0.808732i \(0.700154\pi\)
−0.716794 + 0.697285i \(0.754391\pi\)
\(384\) 2.04699 + 0.934831i 0.104460 + 0.0477054i
\(385\) 3.01888 + 2.17243i 0.153856 + 0.110717i
\(386\) −2.27293 15.8085i −0.115689 0.804634i
\(387\) 3.02530 + 4.70746i 0.153785 + 0.239294i
\(388\) 7.78166 + 8.98051i 0.395054 + 0.455916i
\(389\) −4.95966 16.8911i −0.251465 0.856411i −0.984375 0.176085i \(-0.943657\pi\)
0.732910 0.680326i \(-0.238162\pi\)
\(390\) 4.36006 0.220780
\(391\) −0.509939 + 1.63219i −0.0257887 + 0.0825432i
\(392\) −6.96134 0.734647i −0.351601 0.0371053i
\(393\) −4.83967 + 1.42105i −0.244129 + 0.0716827i
\(394\) −7.11717 8.21365i −0.358558 0.413798i
\(395\) 0.514217 + 0.800137i 0.0258730 + 0.0402592i
\(396\) −8.06408 + 1.15944i −0.405235 + 0.0582640i
\(397\) −9.87841 + 15.3711i −0.495783 + 0.771453i −0.995503 0.0947337i \(-0.969800\pi\)
0.499720 + 0.866187i \(0.333436\pi\)
\(398\) −8.21097 + 17.9795i −0.411579 + 0.901232i
\(399\) 32.3151 33.5554i 1.61778 1.67987i
\(400\) 0.693522 4.82355i 0.0346761 0.241177i
\(401\) −35.4568 + 16.1926i −1.77063 + 0.808618i −0.789900 + 0.613236i \(0.789868\pi\)
−0.980727 + 0.195383i \(0.937405\pi\)
\(402\) −16.7724 4.92482i −0.836532 0.245628i
\(403\) 16.3352 + 4.79646i 0.813716 + 0.238929i
\(404\) −12.4060 + 5.66564i −0.617222 + 0.281876i
\(405\) 0.554095 3.85382i 0.0275332 0.191498i
\(406\) −10.3314 9.94953i −0.512740 0.493787i
\(407\) 12.7811 27.9866i 0.633534 1.38725i
\(408\) 0.433800 0.675006i 0.0214763 0.0334178i
\(409\) −25.8688 + 3.71937i −1.27913 + 0.183911i −0.748182 0.663494i \(-0.769073\pi\)
−0.530948 + 0.847405i \(0.678164\pi\)
\(410\) 0.805990 + 1.25414i 0.0398050 + 0.0619378i
\(411\) −22.7708 26.2789i −1.12320 1.29624i
\(412\) 6.64398 1.95085i 0.327325 0.0961114i
\(413\) −14.8736 0.782652i −0.731883 0.0385118i
\(414\) 9.07397 3.95657i 0.445961 0.194455i
\(415\) −0.542528 −0.0266317
\(416\) 1.53262 + 5.21964i 0.0751431 + 0.255914i
\(417\) −1.48182 1.71011i −0.0725649 0.0837444i
\(418\) −16.6967 25.9805i −0.816661 1.27075i
\(419\) 3.64250 + 25.3341i 0.177948 + 1.23765i 0.861502 + 0.507754i \(0.169524\pi\)
−0.683554 + 0.729900i \(0.739567\pi\)
\(420\) 1.72119 + 1.23860i 0.0839854 + 0.0604373i
\(421\) 9.45139 + 4.31630i 0.460632 + 0.210364i 0.632195 0.774809i \(-0.282154\pi\)
−0.171562 + 0.985173i \(0.554882\pi\)
\(422\) 8.41272 9.70879i 0.409525 0.472617i
\(423\) 25.6785 + 3.69201i 1.24853 + 0.179511i
\(424\) 7.68644 3.51028i 0.373286 0.170474i
\(425\) −1.66718 0.489527i −0.0808699 0.0237456i
\(426\) 6.63790 22.6066i 0.321607 1.09529i
\(427\) −26.8830 + 10.6075i −1.30096 + 0.513335i
\(428\) 3.91434 + 0.562797i 0.189207 + 0.0272038i
\(429\) −36.5170 31.6422i −1.76306 1.52770i
\(430\) −0.878290 0.401102i −0.0423549 0.0193428i
\(431\) −12.9551 + 20.1585i −0.624024 + 0.971000i 0.375008 + 0.927021i \(0.377640\pi\)
−0.999032 + 0.0439789i \(0.985997\pi\)
\(432\) 2.08468 0.299731i 0.100299 0.0144208i
\(433\) 0.0893022 0.0573910i 0.00429159 0.00275804i −0.538493 0.842630i \(-0.681006\pi\)
0.542785 + 0.839872i \(0.317370\pi\)
\(434\) 5.08598 + 6.53394i 0.244135 + 0.313639i
\(435\) 1.22414 + 4.16905i 0.0586931 + 0.199890i
\(436\) 4.74293i 0.227145i
\(437\) 27.9320 + 25.0581i 1.33617 + 1.19869i
\(438\) −22.0792 −1.05498
\(439\) 8.99743 + 30.6424i 0.429424 + 1.46248i 0.835931 + 0.548835i \(0.184928\pi\)
−0.406507 + 0.913648i \(0.633253\pi\)
\(440\) 1.06240 0.920576i 0.0506480 0.0438867i
\(441\) 12.9077 6.49274i 0.614652 0.309178i
\(442\) 1.91993 0.276044i 0.0913218 0.0131301i
\(443\) 28.2670 + 18.1661i 1.34301 + 0.863098i 0.997169 0.0751959i \(-0.0239582\pi\)
0.345838 + 0.938294i \(0.387595\pi\)
\(444\) 7.28702 15.9564i 0.345827 0.757255i
\(445\) 3.37977 3.90047i 0.160217 0.184900i
\(446\) 26.3327 + 3.78607i 1.24689 + 0.179276i
\(447\) −4.49667 9.84634i −0.212685 0.465716i
\(448\) −0.877760 + 2.49590i −0.0414703 + 0.117920i
\(449\) −0.699891 0.205506i −0.0330299 0.00969845i 0.265176 0.964200i \(-0.414570\pi\)
−0.298206 + 0.954502i \(0.596388\pi\)
\(450\) 4.17852 + 9.14968i 0.196977 + 0.431320i
\(451\) 2.35124 16.3532i 0.110715 0.770042i
\(452\) 2.64169 + 2.28903i 0.124254 + 0.107667i
\(453\) −26.7928 12.2359i −1.25884 0.574892i
\(454\) 5.61202 + 3.60662i 0.263385 + 0.169267i
\(455\) 0.461894 + 5.10529i 0.0216539 + 0.239340i
\(456\) −9.51947 14.8126i −0.445790 0.693663i
\(457\) −15.9600 + 13.8295i −0.746580 + 0.646915i −0.942691 0.333667i \(-0.891714\pi\)
0.196112 + 0.980582i \(0.437169\pi\)
\(458\) 13.2555 3.89217i 0.619389 0.181869i
\(459\) 0.750951i 0.0350514i
\(460\) −0.948058 + 1.42081i −0.0442034 + 0.0662456i
\(461\) 23.1457i 1.07800i −0.842304 0.539002i \(-0.818801\pi\)
0.842304 0.539002i \(-0.181199\pi\)
\(462\) −5.42673 22.8648i −0.252474 1.06377i
\(463\) −7.51361 8.67117i −0.349187 0.402983i 0.553801 0.832649i \(-0.313177\pi\)
−0.902988 + 0.429666i \(0.858631\pi\)
\(464\) −4.56067 + 2.93096i −0.211724 + 0.136067i
\(465\) −0.356967 2.48276i −0.0165540 0.115135i
\(466\) −14.0067 9.00153i −0.648846 0.416988i
\(467\) −2.57244 + 5.63287i −0.119039 + 0.260658i −0.959766 0.280800i \(-0.909400\pi\)
0.840728 + 0.541458i \(0.182128\pi\)
\(468\) −8.48607 7.35322i −0.392269 0.339903i
\(469\) 3.98975 20.1609i 0.184230 0.930944i
\(470\) −4.07184 + 1.85955i −0.187820 + 0.0857744i
\(471\) −5.92539 + 20.1800i −0.273028 + 0.929847i
\(472\) −1.58601 + 5.40145i −0.0730019 + 0.248622i
\(473\) 4.44508 + 9.73337i 0.204385 + 0.447541i
\(474\) 0.855255 5.94843i 0.0392832 0.273221i
\(475\) −24.9696 + 28.8165i −1.14568 + 1.32219i
\(476\) 0.836335 + 0.436437i 0.0383334 + 0.0200041i
\(477\) −9.42971 + 14.6729i −0.431757 + 0.671827i
\(478\) 1.71493 + 11.9276i 0.0784390 + 0.545555i
\(479\) −20.7553 + 13.3386i −0.948332 + 0.609456i −0.920746 0.390163i \(-0.872419\pi\)
−0.0275864 + 0.999619i \(0.508782\pi\)
\(480\) 0.605719 0.524859i 0.0276472 0.0239564i
\(481\) 40.6872 11.9468i 1.85518 0.544729i
\(482\) 23.6806 1.07862
\(483\) 13.7247 + 25.0390i 0.624495 + 1.13931i
\(484\) −4.57887 −0.208130
\(485\) 4.06076 1.19235i 0.184390 0.0541417i
\(486\) −13.8167 + 11.9722i −0.626737 + 0.543071i
\(487\) −2.30547 + 1.48163i −0.104471 + 0.0671393i −0.591833 0.806061i \(-0.701596\pi\)
0.487362 + 0.873200i \(0.337959\pi\)
\(488\) 1.55453 + 10.8120i 0.0703704 + 0.489437i
\(489\) 11.8539 18.4450i 0.536052 0.834112i
\(490\) −1.26796 + 2.14659i −0.0572806 + 0.0969731i
\(491\) −1.09295 + 1.26133i −0.0493239 + 0.0569229i −0.779875 0.625935i \(-0.784718\pi\)
0.730551 + 0.682858i \(0.239263\pi\)
\(492\) 1.34054 9.32365i 0.0604361 0.420343i
\(493\) 0.802996 + 1.75832i 0.0361651 + 0.0791906i
\(494\) 11.9919 40.8407i 0.539542 1.83751i
\(495\) −0.817481 + 2.78408i −0.0367430 + 0.125135i
\(496\) 2.84676 1.30007i 0.127823 0.0583749i
\(497\) 27.1738 + 5.37757i 1.21891 + 0.241217i
\(498\) 2.59065 + 2.24481i 0.116090 + 0.100592i
\(499\) −0.421913 + 0.923861i −0.0188874 + 0.0413577i −0.918841 0.394629i \(-0.870873\pi\)
0.899953 + 0.435986i \(0.143600\pi\)
\(500\) −2.95818 1.90111i −0.132294 0.0850202i
\(501\) −0.0228438 0.158882i −0.00102059 0.00709833i
\(502\) 5.28140 3.39415i 0.235720 0.151488i
\(503\) 16.8414 + 19.4361i 0.750923 + 0.866611i 0.994657 0.103231i \(-0.0329179\pi\)
−0.243734 + 0.969842i \(0.578372\pi\)
\(504\) −1.26110 5.31348i −0.0561738 0.236681i
\(505\) 4.85746i 0.216154i
\(506\) 18.2515 5.01945i 0.811380 0.223142i
\(507\) 37.3414i 1.65839i
\(508\) −2.85940 + 0.839596i −0.126865 + 0.0372510i
\(509\) 9.53513 8.26224i 0.422637 0.366217i −0.417421 0.908713i \(-0.637066\pi\)
0.840058 + 0.542496i \(0.182521\pi\)
\(510\) −0.154501 0.240409i −0.00684143 0.0106455i
\(511\) −2.33902 25.8530i −0.103472 1.14367i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) −14.9900 6.84569i −0.661823 0.302245i
\(514\) 8.79008 + 7.61665i 0.387714 + 0.335956i
\(515\) 0.350977 2.44110i 0.0154659 0.107568i
\(516\) 2.53433 + 5.54941i 0.111568 + 0.244299i
\(517\) 47.5983 + 13.9761i 2.09337 + 0.614670i
\(518\) 19.4556 + 6.84216i 0.854831 + 0.300627i
\(519\) −1.52540 3.34017i −0.0669578 0.146617i
\(520\) 1.91778 + 0.275735i 0.0841001 + 0.0120918i
\(521\) 7.18402 8.29081i 0.314738 0.363227i −0.576235 0.817284i \(-0.695479\pi\)
0.890972 + 0.454058i \(0.150024\pi\)
\(522\) 4.64851 10.1788i 0.203460 0.445515i
\(523\) −9.12480 5.86415i −0.399000 0.256422i 0.325719 0.945467i \(-0.394394\pi\)
−0.724718 + 0.689045i \(0.758030\pi\)
\(524\) −2.21860 + 0.318987i −0.0969201 + 0.0139350i
\(525\) −25.1988 + 14.3820i −1.09977 + 0.627681i
\(526\) −4.66255 + 4.04012i −0.203297 + 0.176158i
\(527\) −0.314378 1.07067i −0.0136945 0.0466392i
\(528\) −8.88217 −0.386547
\(529\) −19.7655 + 11.7612i −0.859370 + 0.511355i
\(530\) 3.00955i 0.130727i
\(531\) −3.27367 11.1491i −0.142065 0.483830i
\(532\) 16.3359 12.7158i 0.708252 0.551298i
\(533\) 19.1560 12.3108i 0.829736 0.533239i
\(534\) −32.2778 + 4.64085i −1.39680 + 0.200829i
\(535\) 0.761470 1.18487i 0.0329212 0.0512264i
\(536\) −7.06591 3.22690i −0.305201 0.139381i
\(537\) −29.3155 25.4020i −1.26506 1.09618i
\(538\) −24.7975 3.56534i −1.06910 0.153713i
\(539\) 26.1980 8.77652i 1.12843 0.378031i
\(540\) 0.211330 0.719724i 0.00909420 0.0309720i
\(541\) 9.44827 + 2.77426i 0.406213 + 0.119275i 0.478455 0.878112i \(-0.341197\pi\)
−0.0722416 + 0.997387i \(0.523015\pi\)
\(542\) −8.51348 + 3.88798i −0.365685 + 0.167003i
\(543\) −11.9966 1.72485i −0.514823 0.0740204i
\(544\) 0.233496 0.269468i 0.0100110 0.0115534i
\(545\) 1.53658 + 0.701733i 0.0658199 + 0.0300589i
\(546\) 18.9185 26.2896i 0.809635 1.12509i
\(547\) −0.649552 4.51773i −0.0277728 0.193164i 0.971212 0.238218i \(-0.0765632\pi\)
−0.998985 + 0.0450536i \(0.985654\pi\)
\(548\) −8.35385 12.9988i −0.356859 0.555283i
\(549\) −14.7648 17.0395i −0.630148 0.727230i
\(550\) 5.41895 + 18.4552i 0.231065 + 0.786934i
\(551\) 42.4184 1.80709
\(552\) 10.4060 2.86180i 0.442908 0.121806i
\(553\) 7.05575 + 0.371274i 0.300041 + 0.0157882i
\(554\) −17.5753 + 5.16058i −0.746704 + 0.219252i
\(555\) −4.09128 4.72159i −0.173665 0.200420i
\(556\) −0.543630 0.845905i −0.0230551 0.0358744i
\(557\) 0.233117 0.0335171i 0.00987747 0.00142017i −0.137374 0.990519i \(-0.543866\pi\)
0.147252 + 0.989099i \(0.452957\pi\)
\(558\) −3.49240 + 5.43428i −0.147845 + 0.230051i
\(559\) −6.12647 + 13.4151i −0.259122 + 0.567399i
\(560\) 0.678737 + 0.653648i 0.0286819 + 0.0276217i
\(561\) −0.450712 + 3.13477i −0.0190291 + 0.132350i
\(562\) −3.33993 + 1.52529i −0.140886 + 0.0643406i
\(563\) −8.78805 2.58040i −0.370372 0.108751i 0.0912494 0.995828i \(-0.470914\pi\)
−0.461621 + 0.887077i \(0.652732\pi\)
\(564\) 27.1378 + 7.96838i 1.14271 + 0.335529i
\(565\) 1.13243 0.517164i 0.0476417 0.0217572i
\(566\) −1.59302 + 11.0797i −0.0669595 + 0.465714i
\(567\) −20.8329 20.0628i −0.874901 0.842560i
\(568\) 4.34936 9.52376i 0.182495 0.399608i
\(569\) −0.438292 + 0.681996i −0.0183742 + 0.0285908i −0.850319 0.526267i \(-0.823591\pi\)
0.831945 + 0.554858i \(0.187227\pi\)
\(570\) −6.20731 + 0.892477i −0.259996 + 0.0373817i
\(571\) 6.27740 + 9.76782i 0.262701 + 0.408771i 0.947398 0.320057i \(-0.103702\pi\)
−0.684697 + 0.728827i \(0.740066\pi\)
\(572\) −14.0610 16.2272i −0.587919 0.678495i
\(573\) −19.0395 + 5.59050i −0.795386 + 0.233546i
\(574\) 11.0593 + 0.581940i 0.461605 + 0.0242897i
\(575\) −12.2948 19.8754i −0.512730 0.828862i
\(576\) −2.06410 −0.0860040
\(577\) −0.321950 1.09646i −0.0134029 0.0456462i 0.952520 0.304476i \(-0.0984813\pi\)
−0.965923 + 0.258830i \(0.916663\pi\)
\(578\) 11.0494 + 12.7517i 0.459594 + 0.530399i
\(579\) 19.4310 + 30.2352i 0.807524 + 1.25653i
\(580\) 0.274786 + 1.91118i 0.0114099 + 0.0793573i
\(581\) −2.35405 + 3.27126i −0.0976625 + 0.135715i
\(582\) −24.3243 11.1085i −1.00827 0.460463i
\(583\) −21.8412 + 25.2061i −0.904570 + 1.04393i
\(584\) −9.71155 1.39631i −0.401867 0.0577798i
\(585\) −3.63779 + 1.66132i −0.150404 + 0.0686872i
\(586\) 2.93292 + 0.861182i 0.121158 + 0.0355751i
\(587\) 10.1013 34.4020i 0.416927 1.41992i −0.436967 0.899477i \(-0.643948\pi\)
0.853895 0.520446i \(-0.174234\pi\)
\(588\) 14.9366 5.00386i 0.615975 0.206356i
\(589\) −24.2379 3.48488i −0.998705 0.143592i
\(590\) 1.51527 + 1.31299i 0.0623825 + 0.0540547i
\(591\) 22.2472 + 10.1599i 0.915127 + 0.417924i
\(592\) 4.21430 6.55759i 0.173207 0.269515i
\(593\) −8.74135 + 1.25682i −0.358964 + 0.0516112i −0.319438 0.947607i \(-0.603494\pi\)
−0.0395264 + 0.999219i \(0.512585\pi\)
\(594\) −6.99321 + 4.49426i −0.286935 + 0.184402i
\(595\) 0.265132 0.206377i 0.0108694 0.00846064i
\(596\) −1.35517 4.61530i −0.0555101 0.189050i
\(597\) 44.4799i 1.82044i
\(598\) 21.7016 + 14.4808i 0.887445 + 0.592162i
\(599\) −10.0997 −0.412662 −0.206331 0.978482i \(-0.566152\pi\)
−0.206331 + 0.978482i \(0.566152\pi\)
\(600\) 3.08957 + 10.5221i 0.126131 + 0.429563i
\(601\) −20.8309 + 18.0501i −0.849711 + 0.736279i −0.966442 0.256885i \(-0.917304\pi\)
0.116731 + 0.993164i \(0.462758\pi\)
\(602\) −6.22944 + 3.55539i −0.253893 + 0.144907i
\(603\) 15.8705 2.28183i 0.646295 0.0929232i
\(604\) −11.0110 7.07637i −0.448033 0.287933i
\(605\) −0.677459 + 1.48343i −0.0275426 + 0.0603099i
\(606\) 20.0986 23.1951i 0.816451 0.942235i
\(607\) −33.9371 4.87942i −1.37746 0.198049i −0.586519 0.809936i \(-0.699502\pi\)
−0.790946 + 0.611886i \(0.790411\pi\)
\(608\) −3.25039 7.11736i −0.131821 0.288647i
\(609\) 30.4495 + 10.7085i 1.23388 + 0.433930i
\(610\) 3.73280 + 1.09605i 0.151136 + 0.0443777i
\(611\) 28.4029 + 62.1937i 1.14906 + 2.51609i
\(612\) −0.104739 + 0.728479i −0.00423384 + 0.0294470i
\(613\) 11.1666 + 9.67589i 0.451013 + 0.390805i 0.850535 0.525918i \(-0.176278\pi\)
−0.399522 + 0.916724i \(0.630824\pi\)
\(614\) −21.4902 9.81423i −0.867272 0.396070i
\(615\) −2.82227 1.81376i −0.113805 0.0731380i
\(616\) −0.940955 10.4003i −0.0379122 0.419041i
\(617\) 15.6465 + 24.3464i 0.629904 + 0.980150i 0.998717 + 0.0506459i \(0.0161280\pi\)
−0.368813 + 0.929504i \(0.620236\pi\)
\(618\) −11.7765 + 10.2044i −0.473719 + 0.410480i
\(619\) −22.2210 + 6.52468i −0.893139 + 0.262249i −0.695928 0.718112i \(-0.745007\pi\)
−0.197211 + 0.980361i \(0.563188\pi\)
\(620\) 1.11462i 0.0447643i
\(621\) 6.74492 7.51848i 0.270664 0.301706i
\(622\) 9.79301i 0.392664i
\(623\) −8.85350 37.3031i −0.354708 1.49452i
\(624\) −8.01676 9.25183i −0.320927 0.370370i
\(625\) 19.4442 12.4960i 0.777768 0.499841i
\(626\) −2.66868 18.5611i −0.106662 0.741850i
\(627\) 58.4654 + 37.5734i 2.33488 + 1.50054i
\(628\) −3.88250 + 8.50148i −0.154928 + 0.339246i
\(629\) −2.10051 1.82010i −0.0837528 0.0725722i
\(630\) −1.90801 0.377586i −0.0760168 0.0150434i
\(631\) −13.8845 + 6.34086i −0.552735 + 0.252426i −0.672145 0.740419i \(-0.734627\pi\)
0.119410 + 0.992845i \(0.461900\pi\)
\(632\) 0.752370 2.56234i 0.0299277 0.101924i
\(633\) −8.14471 + 27.7383i −0.323723 + 1.10250i
\(634\) −0.0662539 0.145076i −0.00263128 0.00576170i
\(635\) −0.151052 + 1.05059i −0.00599431 + 0.0416913i
\(636\) −12.4526 + 14.3710i −0.493777 + 0.569849i
\(637\) 32.7873 + 19.3670i 1.29908 + 0.767347i
\(638\) 11.5685 18.0010i 0.458002 0.712666i
\(639\) 3.07555 + 21.3909i 0.121667 + 0.846212i
\(640\) 0.299619 0.192553i 0.0118435 0.00761134i
\(641\) 22.2066 19.2422i 0.877110 0.760020i −0.0947697 0.995499i \(-0.530211\pi\)
0.971879 + 0.235479i \(0.0756660\pi\)
\(642\) −8.53875 + 2.50720i −0.336998 + 0.0989514i
\(643\) 39.5726 1.56059 0.780295 0.625411i \(-0.215069\pi\)
0.780295 + 0.625411i \(0.215069\pi\)
\(644\) 4.45333 + 11.8814i 0.175486 + 0.468193i
\(645\) 2.17282 0.0855546
\(646\) −2.67685 + 0.785995i −0.105319 + 0.0309246i
\(647\) −10.9682 + 9.50400i −0.431205 + 0.373641i −0.843249 0.537523i \(-0.819360\pi\)
0.412045 + 0.911164i \(0.364815\pi\)
\(648\) −9.19641 + 5.91017i −0.361269 + 0.232174i
\(649\) −3.16218 21.9934i −0.124126 0.863318i
\(650\) −14.3324 + 22.3016i −0.562161 + 0.874740i
\(651\) −16.5191 8.62041i −0.647434 0.337861i
\(652\) 6.38043 7.36341i 0.249877 0.288373i
\(653\) 1.40557 9.77598i 0.0550044 0.382564i −0.943661 0.330914i \(-0.892643\pi\)
0.998665 0.0516497i \(-0.0164479\pi\)
\(654\) −4.43384 9.70876i −0.173377 0.379642i
\(655\) −0.224907 + 0.765962i −0.00878783 + 0.0299286i
\(656\) 1.17928 4.01624i 0.0460430 0.156808i
\(657\) 18.4216 8.41287i 0.718696 0.328217i
\(658\) −6.45543 + 32.6204i −0.251659 + 1.27168i
\(659\) 30.1938 + 26.1631i 1.17618 + 1.01917i 0.999390 + 0.0349201i \(0.0111177\pi\)
0.176793 + 0.984248i \(0.443428\pi\)
\(660\) −1.31415 + 2.87758i −0.0511531 + 0.112010i
\(661\) −4.80122 3.08556i −0.186746 0.120014i 0.443927 0.896063i \(-0.353585\pi\)
−0.630673 + 0.776048i \(0.717221\pi\)
\(662\) −1.16379 8.09436i −0.0452321 0.314596i
\(663\) −3.67203 + 2.35987i −0.142610 + 0.0916498i
\(664\) 0.997536 + 1.15122i 0.0387119 + 0.0446759i
\(665\) −1.70261 7.17373i −0.0660243 0.278185i
\(666\) 16.0897i 0.623462i
\(667\) −7.75335 + 24.8165i −0.300211 + 0.960900i
\(668\) 0.0713291i 0.00275981i
\(669\) −57.4422 + 16.8665i −2.22084 + 0.652098i
\(670\) −2.09085 + 1.81173i −0.0807766 + 0.0699933i
\(671\) −23.3092 36.2698i −0.899840 1.40018i
\(672\) −0.536478 5.92966i −0.0206951 0.228742i
\(673\) −17.9880 11.5602i −0.693388 0.445613i 0.145901 0.989299i \(-0.453392\pi\)
−0.839289 + 0.543686i \(0.817028\pi\)
\(674\) 23.9693 + 10.9464i 0.923264 + 0.421641i
\(675\) 7.75657 + 6.72111i 0.298550 + 0.258695i
\(676\) 2.36151 16.4247i 0.0908274 0.631718i
\(677\) 21.3203 + 46.6850i 0.819406 + 1.79425i 0.560027 + 0.828474i \(0.310791\pi\)
0.259379 + 0.965776i \(0.416482\pi\)
\(678\) −7.54738 2.21611i −0.289855 0.0851092i
\(679\) 10.4304 29.6586i 0.400280 1.13819i
\(680\) −0.0527539 0.115515i −0.00202302 0.00442980i
\(681\) −14.8594 2.13645i −0.569412 0.0818690i
\(682\) −8.08913 + 9.33535i −0.309749 + 0.357469i
\(683\) −1.43306 + 3.13796i −0.0548345 + 0.120071i −0.935066 0.354474i \(-0.884660\pi\)
0.880231 + 0.474545i \(0.157387\pi\)
\(684\) 13.5866 + 8.73156i 0.519496 + 0.333860i
\(685\) −5.44725 + 0.783196i −0.208129 + 0.0299244i
\(686\) 7.44148 + 16.9595i 0.284117 + 0.647516i
\(687\) −23.4954 + 20.3589i −0.896406 + 0.776740i
\(688\) 0.763777 + 2.60119i 0.0291187 + 0.0991693i
\(689\) −45.9683 −1.75125
\(690\) 0.612453 3.79466i 0.0233157 0.144460i
\(691\) 21.5311i 0.819083i −0.912292 0.409541i \(-0.865689\pi\)
0.912292 0.409541i \(-0.134311\pi\)
\(692\) −0.459715 1.56565i −0.0174757 0.0595169i
\(693\) 13.2400 + 17.0094i 0.502945 + 0.646133i
\(694\) 23.9037 15.3620i 0.907372 0.583132i
\(695\) −0.354482 + 0.0509668i −0.0134463 + 0.00193328i
\(696\) 6.59571 10.2631i 0.250010 0.389022i
\(697\) −1.35761 0.619998i −0.0514230 0.0234841i
\(698\) 21.2726 + 18.4328i 0.805178 + 0.697691i
\(699\) 37.0865 + 5.33223i 1.40274 + 0.201683i
\(700\) −11.9933 + 4.73233i −0.453303 + 0.178865i
\(701\) −14.4426 + 49.1869i −0.545488 + 1.85776i −0.0323156 + 0.999478i \(0.510288\pi\)
−0.513173 + 0.858285i \(0.671530\pi\)
\(702\) −10.9932 3.22788i −0.414910 0.121829i
\(703\) −55.4799 + 25.3368i −2.09247 + 0.955597i
\(704\) −3.90683 0.561718i −0.147244 0.0211705i
\(705\) 6.59667 7.61296i 0.248445 0.286721i
\(706\) −9.92471 4.53246i −0.373521 0.170581i
\(707\) 29.2888 + 21.0767i 1.10152 + 0.792671i
\(708\) −1.80289 12.5394i −0.0677568 0.471259i
\(709\) −1.44625 2.25041i −0.0543151 0.0845160i 0.813034 0.582216i \(-0.197814\pi\)
−0.867349 + 0.497700i \(0.834178\pi\)
\(710\) −2.44194 2.81814i −0.0916442 0.105763i
\(711\) 1.55297 + 5.28891i 0.0582408 + 0.198350i
\(712\) −14.4909 −0.543070
\(713\) 6.46907 13.5432i 0.242268 0.507197i
\(714\) −2.11997 0.111553i −0.0793378 0.00417477i
\(715\) −7.33755 + 2.15450i −0.274409 + 0.0805737i
\(716\) −11.2880 13.0270i −0.421852 0.486843i
\(717\) −14.6607 22.8126i −0.547515 0.851950i
\(718\) −26.2762 + 3.77795i −0.980619 + 0.140992i
\(719\) 6.69276 10.4141i 0.249598 0.388382i −0.693735 0.720231i \(-0.744036\pi\)
0.943333 + 0.331849i \(0.107672\pi\)
\(720\) −0.305390 + 0.668711i −0.0113812 + 0.0249214i
\(721\) −13.1961 12.7083i −0.491448 0.473282i
\(722\) −6.00879 + 41.7921i −0.223624 + 1.55534i
\(723\) −48.4742 + 22.1374i −1.80277 + 0.823299i
\(724\) −5.16764 1.51736i −0.192054 0.0563921i
\(725\) −25.3486 7.44301i −0.941422 0.276426i
\(726\) 9.37292 4.28047i 0.347862 0.158863i
\(727\) 6.07988 42.2865i 0.225490 1.56832i −0.491274 0.871005i \(-0.663469\pi\)
0.716764 0.697315i \(-0.245622\pi\)
\(728\) 9.98389 10.3671i 0.370028 0.384231i
\(729\) 3.46696 7.59158i 0.128406 0.281170i
\(730\) −1.88922 + 2.93969i −0.0699233 + 0.108803i
\(731\) 0.956790 0.137566i 0.0353881 0.00508805i
\(732\) −13.2895 20.6789i −0.491195 0.764315i
\(733\) 15.0108 + 17.3234i 0.554436 + 0.639854i 0.961911 0.273363i \(-0.0881359\pi\)
−0.407475 + 0.913217i \(0.633590\pi\)
\(734\) −24.0669 + 7.06667i −0.888325 + 0.260836i
\(735\) 0.588806 5.57939i 0.0217185 0.205799i
\(736\) 4.75806 0.600682i 0.175385 0.0221414i
\(737\) 30.6599 1.12937
\(738\) 2.43414 + 8.28991i 0.0896019 + 0.305156i
\(739\) 3.11050 + 3.58971i 0.114422 + 0.132050i 0.810071 0.586332i \(-0.199429\pi\)
−0.695649 + 0.718382i \(0.744883\pi\)
\(740\) −1.50096 2.33554i −0.0551763 0.0858560i
\(741\) 13.6318 + 94.8112i 0.500776 + 3.48298i
\(742\) −18.1466 13.0586i −0.666181 0.479395i
\(743\) 26.6877 + 12.1879i 0.979076 + 0.447129i 0.839665 0.543105i \(-0.182752\pi\)
0.139412 + 0.990235i \(0.455479\pi\)
\(744\) −4.61195 + 5.32248i −0.169082 + 0.195131i
\(745\) −1.69573 0.243810i −0.0621269 0.00893249i
\(746\) 5.01464 2.29011i 0.183599 0.0838469i
\(747\) −3.01684 0.885823i −0.110380 0.0324106i
\(748\) −0.396492 + 1.35033i −0.0144972 + 0.0493729i
\(749\) −3.84031 9.73260i −0.140322 0.355621i
\(750\) 7.83260 + 1.12616i 0.286006 + 0.0411215i
\(751\) −3.29145 2.85206i −0.120107 0.104073i 0.592737 0.805396i \(-0.298047\pi\)
−0.712843 + 0.701323i \(0.752593\pi\)
\(752\) 11.4327 + 5.22113i 0.416907 + 0.190395i
\(753\) −7.63804 + 11.8850i −0.278346 + 0.433114i
\(754\) 29.1915 4.19711i 1.06309 0.152850i
\(755\) −3.92167 + 2.52031i −0.142724 + 0.0917233i
\(756\) −3.42272 4.39716i −0.124483 0.159923i
\(757\) 6.25908 + 21.3165i 0.227490 + 0.774761i 0.991562 + 0.129630i \(0.0413790\pi\)
−0.764072 + 0.645131i \(0.776803\pi\)
\(758\) 12.7416i 0.462795i
\(759\) −32.6685 + 27.3369i −1.18579 + 0.992267i
\(760\) −2.78673 −0.101086
\(761\) 4.11368 + 14.0099i 0.149121 + 0.507859i 0.999842 0.0177578i \(-0.00565277\pi\)
−0.850721 + 0.525617i \(0.823835\pi\)
\(762\) 5.06830 4.39170i 0.183605 0.159095i
\(763\) 10.8985 6.22020i 0.394552 0.225186i
\(764\) −8.72809 + 1.25491i −0.315771 + 0.0454011i
\(765\) 0.220511 + 0.141714i 0.00797258 + 0.00512366i
\(766\) 16.2007 35.4746i 0.585355 1.28175i
\(767\) 20.0547 23.1444i 0.724133 0.835694i
\(768\) −2.22745 0.320259i −0.0803762 0.0115563i
\(769\) −11.6376 25.4828i −0.419663 0.918934i −0.994892 0.100942i \(-0.967814\pi\)
0.575229 0.817992i \(-0.304913\pi\)
\(770\) −3.50864 1.23392i −0.126442 0.0444673i
\(771\) −25.1135 7.37400i −0.904442 0.265568i
\(772\) 6.63464 + 14.5278i 0.238786 + 0.522868i
\(773\) −0.509589 + 3.54427i −0.0183286 + 0.127478i −0.996931 0.0782802i \(-0.975057\pi\)