Properties

Label 322.2.k.a.97.2
Level $322$
Weight $2$
Character 322.97
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 97.2
Character \(\chi\) \(=\) 322.97
Dual form 322.2.k.a.83.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-1.70070 - 1.47367i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0506866 - 0.352533i) q^{5} +(1.21663 + 1.89312i) q^{6} +(-2.46109 + 0.971103i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.293752 + 2.04309i) q^{9} +O(q^{10})\) \(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} +(-2.46109 + 0.971103i) 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} +(2.63499 - 0.238397i) 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} +(5.61667 + 1.97527i) 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} +(-2.59542 - 0.513622i) 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} +(0.217601 + 0.916836i) 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} +(-4.83266 - 3.47766i) 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} +(5.11392 - 4.77994i) 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} +(2.34558 + 1.22403i) 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} +(-2.70700 - 4.74296i) 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} +(-6.41442 - 8.24059i) 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} +(3.65713 + 4.69831i) 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} +(-6.25343 + 3.14556i) q^{98} +(-7.41078 + 3.38439i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + O(q^{10}) \) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) −1.70070 1.47367i −0.981902 0.850823i 0.00691181 0.999976i \(-0.497800\pi\)
−0.988814 + 0.149153i \(0.952345\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.0506866 0.352533i 0.0226677 0.157657i −0.975344 0.220692i \(-0.929169\pi\)
0.998011 + 0.0630341i \(0.0200777\pi\)
\(6\) 1.21663 + 1.89312i 0.496689 + 0.772863i
\(7\) −2.46109 + 0.971103i −0.930204 + 0.367042i
\(8\) −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 0.938786 + 0.344502i \(0.111952\pi\)
−0.603505 + 0.797359i \(0.706230\pi\)
\(12\) −0.633998 2.15920i −0.183020 0.623307i
\(13\) −4.94840 2.25986i −1.37244 0.626772i −0.413531 0.910490i \(-0.635705\pi\)
−0.958908 + 0.283719i \(0.908432\pi\)
\(14\) 2.63499 0.238397i 0.704230 0.0637143i
\(15\) −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 \(-0.668050\pi\)
0.576510 + 0.817090i \(0.304414\pi\)
\(18\) 0.293752 2.04309i 0.0692379 0.481560i
\(19\) 6.58234 + 4.23021i 1.51009 + 0.970477i 0.993449 + 0.114275i \(0.0364546\pi\)
0.516642 + 0.856201i \(0.327182\pi\)
\(20\) 0.233234 0.269166i 0.0521527 0.0601874i
\(21\) 5.61667 + 1.97527i 1.22566 + 0.431040i
\(22\) 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
\(28\) −2.59542 0.513622i −0.490488 0.0970654i
\(29\) −4.56067 + 2.93096i −0.846895 + 0.544266i −0.890605 0.454778i \(-0.849719\pi\)
0.0437102 + 0.999044i \(0.486082\pi\)
\(30\) 0.729053 0.332947i 0.133106 0.0607876i
\(31\) −2.36517 + 2.04943i −0.424797 + 0.368089i −0.840865 0.541245i \(-0.817953\pi\)
0.416068 + 0.909334i \(0.363408\pi\)
\(32\) −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
\(35\) 0.217601 + 0.916836i 0.0367813 + 0.154974i
\(36\) −0.857457 + 1.87757i −0.142909 + 0.312928i
\(37\) 7.71567 1.10935i 1.26845 0.182375i 0.524962 0.851126i \(-0.324080\pi\)
0.743487 + 0.668750i \(0.233170\pi\)
\(38\) −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 \(-0.560535\pi\)
−0.458027 + 0.888938i \(0.651444\pi\)
\(42\) −4.83266 3.47766i −0.745695 0.536614i
\(43\) −2.04884 1.77533i −0.312445 0.270735i 0.484495 0.874794i \(-0.339004\pi\)
−0.796939 + 0.604059i \(0.793549\pi\)
\(44\) −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
\(49\) 5.11392 4.77994i 0.730560 0.682849i
\(50\) −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 −0.866206 0.499686i \(-0.833449\pi\)
−0.189607 + 0.981860i \(0.560721\pi\)
\(54\) 1.59169 1.37921i 0.216602 0.187687i
\(55\) 1.39145 0.200060i 0.187623 0.0269761i
\(56\) 2.34558 + 1.22403i 0.313441 + 0.163568i
\(57\) −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 \(-0.483063\pi\)
−0.719851 + 0.694129i \(0.755790\pi\)
\(60\) −0.793324 + 0.114063i −0.102418 + 0.0147254i
\(61\) −7.15317 8.25520i −0.915870 1.05697i −0.998176 0.0603634i \(-0.980774\pi\)
0.0823063 0.996607i \(-0.473771\pi\)
\(62\) 2.84676 1.30007i 0.361539 0.165109i
\(63\) −2.70700 4.74296i −0.341050 0.597556i
\(64\) −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 −0.710918 0.703275i \(-0.751720\pi\)
0.978281 0.207282i \(-0.0664616\pi\)
\(68\) 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 −0.375345 0.926885i \(-0.622476\pi\)
−0.816872 + 0.576819i \(0.804294\pi\)
\(72\) 1.35170 1.55994i 0.159299 0.183841i
\(73\) −5.30445 + 8.25389i −0.620839 + 0.966045i 0.378345 + 0.925665i \(0.376493\pi\)
−0.999184 + 0.0403804i \(0.987143\pi\)
\(74\) −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
\(77\) −6.41442 8.24059i −0.730991 0.939102i
\(78\) −1.74221 12.1173i −0.197266 1.37202i
\(79\) −2.42918 1.10937i −0.273305 0.124814i 0.274048 0.961716i \(-0.411637\pi\)
−0.547353 + 0.836902i \(0.684364\pi\)
\(80\) 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 \(-0.0720966\pi\)
−0.998254 + 0.0590667i \(0.981188\pi\)
\(84\) 3.65713 + 4.69831i 0.399026 + 0.512627i
\(85\) −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 −0.0189407 + 0.999821i \(0.506029\pi\)
−0.986948 + 0.161037i \(0.948516\pi\)
\(90\) −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 0.703571 + 0.710625i \(0.251588\pi\)
−0.875277 + 0.483621i \(0.839321\pi\)
\(98\) −6.25343 + 3.14556i −0.631692 + 0.317750i
\(99\) −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 \(-0.308067\pi\)
0.776173 + 0.630520i \(0.217158\pi\)
\(102\) 0.729872 + 0.333321i 0.0722681 + 0.0330037i
\(103\) −6.64398 + 1.95085i −0.654650 + 0.192223i −0.592157 0.805823i \(-0.701723\pi\)
−0.0624935 + 0.998045i \(0.519905\pi\)
\(104\) 1.53262 + 5.21964i 0.150286 + 0.511828i
\(105\) 0.981038 1.87994i 0.0957395 0.183463i
\(106\) 8.36404 1.20257i 0.812388 0.116804i
\(107\) 2.98868 2.58971i 0.288927 0.250356i −0.498322 0.866992i \(-0.666050\pi\)
0.787249 + 0.616636i \(0.211505\pi\)
\(108\) −1.91579 + 0.874911i −0.184347 + 0.0841884i
\(109\) −2.56422 3.99001i −0.245608 0.382174i 0.696460 0.717596i \(-0.254757\pi\)
−0.942068 + 0.335422i \(0.891121\pi\)
\(110\) −1.39145 0.200060i −0.132669 0.0190750i
\(111\) −14.7569 9.48368i −1.40066 0.900151i
\(112\) −1.90572 1.83527i −0.180074 0.173417i
\(113\) 0.984782 3.35386i 0.0926405 0.315505i −0.900116 0.435651i \(-0.856518\pi\)
0.992756 + 0.120146i \(0.0383364\pi\)
\(114\) 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
\(119\) −0.551018 + 0.765711i −0.0505117 + 0.0701926i
\(120\) 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
\(126\) 1.26110 + 5.31348i 0.112348 + 0.473363i
\(127\) −2.85940 + 0.839596i −0.253731 + 0.0745021i −0.406124 0.913818i \(-0.633120\pi\)
0.152394 + 0.988320i \(0.451302\pi\)
\(128\) 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 \(-0.605146\pi\)
0.502487 + 0.864585i \(0.332418\pi\)
\(132\) 7.47215 4.80206i 0.650368 0.417966i
\(133\) −20.3077 4.01880i −1.76090 0.348474i
\(134\) −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 \(0.229472\pi\)
−0.751207 + 0.660067i \(0.770528\pi\)
\(138\) −10.3013 + 3.21839i −0.876902 + 0.273968i
\(139\) 1.00553i 0.0852879i −0.999090 0.0426439i \(-0.986422\pi\)
0.999090 0.0426439i \(-0.0135781\pi\)
\(140\) −0.312621 + 0.888936i −0.0264213 + 0.0751288i
\(141\) 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
\(147\) −15.7413 + 0.593042i −1.29832 + 0.0489133i
\(148\) 7.09060 + 3.23817i 0.582843 + 0.266176i
\(149\) 1.35517 + 4.61530i 0.111020 + 0.378100i 0.996194 0.0871598i \(-0.0277791\pi\)
−0.885174 + 0.465260i \(0.845961\pi\)
\(150\) 3.08957 + 10.5221i 0.252262 + 0.859126i
\(151\) −5.43731 + 11.9060i −0.442482 + 0.968900i 0.548654 + 0.836049i \(0.315140\pi\)
−0.991136 + 0.132851i \(0.957587\pi\)
\(152\) −1.11353 7.74480i −0.0903195 0.628186i
\(153\) 0.481958 + 0.556209i 0.0389640 + 0.0449668i
\(154\) 3.83295 + 9.71394i 0.308868 + 0.782771i
\(155\) 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 \(-0.196529\pi\)
−0.187890 + 0.982190i \(0.560165\pi\)
\(158\) 2.01824 + 1.74881i 0.160562 + 0.139128i
\(159\) 18.2454 + 5.35732i 1.44695 + 0.424863i
\(160\) −0.356158 −0.0281568
\(161\) −1.36073 12.6154i −0.107240 0.994233i
\(162\) −10.9318 −0.858883
\(163\) 9.34852 + 2.74497i 0.732233 + 0.215003i 0.626533 0.779395i \(-0.284473\pi\)
0.105700 + 0.994398i \(0.466292\pi\)
\(164\) −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 \(-0.182697\pi\)
−0.842742 + 0.538317i \(0.819060\pi\)
\(168\) −2.18533 5.53832i −0.168602 0.427291i
\(169\) 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 \(-0.110666\pi\)
−0.975121 + 0.221673i \(0.928848\pi\)
\(174\) −11.0973 5.06798i −0.841286 0.384202i
\(175\) −12.8407 + 1.16175i −0.970666 + 0.0878197i
\(176\) −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 0.665406 + 0.746481i \(0.268258\pi\)
−0.848761 + 0.528777i \(0.822651\pi\)
\(180\) 0.618443 + 0.397449i 0.0460960 + 0.0296241i
\(181\) 3.52695 4.07032i 0.262156 0.302544i −0.609377 0.792880i \(-0.708581\pi\)
0.871533 + 0.490336i \(0.163126\pi\)
\(182\) −13.5777 4.77501i −1.00645 0.353948i
\(183\) 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
\(189\) 1.08175 5.46625i 0.0786854 0.397611i
\(190\) −2.34435 + 1.50662i −0.170077 + 0.109302i
\(191\) −8.02100 + 3.66307i −0.580379 + 0.265050i −0.683898 0.729577i \(-0.739717\pi\)
0.103520 + 0.994627i \(0.466990\pi\)
\(192\) 1.70070 1.47367i 0.122738 0.106353i
\(193\) −2.27293 15.8085i −0.163609 1.13792i −0.891760 0.452508i \(-0.850529\pi\)
0.728152 0.685416i \(-0.240380\pi\)
\(194\) 4.93634 10.8091i 0.354409 0.776047i
\(195\) 4.18345 1.22837i 0.299583 0.0879654i
\(196\) 6.88633 1.25635i 0.491881 0.0897391i
\(197\) 4.51482 9.88608i 0.321668 0.704354i −0.677857 0.735194i \(-0.737091\pi\)
0.999524 + 0.0308401i \(0.00981828\pi\)
\(198\) 8.06408 1.15944i 0.573089 0.0823978i
\(199\) −12.9438 14.9379i −0.917561 1.05892i −0.998066 0.0621675i \(-0.980199\pi\)
0.0805048 0.996754i \(-0.474347\pi\)
\(200\) −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
\(203\) 8.37794 11.6422i 0.588016 0.817125i
\(204\) −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
\(210\) −1.47094 + 1.52740i −0.101504 + 0.105401i
\(211\) −10.8072 6.94538i −0.744000 0.478140i 0.112910 0.993605i \(-0.463983\pi\)
−0.856910 + 0.515465i \(0.827619\pi\)
\(212\) −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
\(217\) 3.83069 7.34066i 0.260044 0.498317i
\(218\) 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 \(-0.286543\pi\)
0.999058 + 0.0433912i \(0.0138162\pi\)
\(224\) 1.31147 + 2.29784i 0.0876261 + 0.153531i
\(225\) −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 \(-0.701669\pi\)
0.881973 + 0.471299i \(0.156215\pi\)
\(228\) 4.96068 16.8945i 0.328529 1.11887i
\(229\) 13.8151 0.912928 0.456464 0.889742i \(-0.349116\pi\)
0.456464 + 0.889742i \(0.349116\pi\)
\(230\) −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 −0.276312 0.961068i \(-0.589112\pi\)
0.990609 + 0.136725i \(0.0436578\pi\)
\(234\) −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
\(238\) 0.744424 0.579455i 0.0482538 0.0375605i
\(239\) 1.71493 + 11.9276i 0.110930 + 0.771532i 0.967019 + 0.254704i \(0.0819781\pi\)
−0.856089 + 0.516828i \(0.827113\pi\)
\(240\) −0.729053 0.332947i −0.0470602 0.0214917i
\(241\) 22.7214 6.67161i 1.46361 0.429756i 0.549597 0.835430i \(-0.314781\pi\)
0.914018 + 0.405674i \(0.132963\pi\)
\(242\) 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
\(245\) −1.42588 2.04510i −0.0910960 0.130657i
\(246\) −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 \(-0.345603\pi\)
−0.0860408 + 0.996292i \(0.527422\pi\)
\(252\) 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 \(-0.700017\pi\)
0.980072 + 0.198641i \(0.0636529\pi\)
\(258\) 0.868222 6.03862i 0.0540532 0.375948i
\(259\) −17.9117 + 10.2229i −1.11298 + 0.635221i
\(260\) −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 0.580854 0.814008i \(-0.302719\pi\)
−0.234808 + 0.972042i \(0.575446\pi\)
\(264\) −8.52238 + 2.50240i −0.524516 + 0.154012i
\(265\) 0.847889 + 2.88764i 0.0520854 + 0.177387i
\(266\) 18.3529 + 9.57735i 1.12529 + 0.587225i
\(267\) 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 \(-0.913002\pi\)
−0.426561 + 0.904459i \(0.640275\pi\)
\(270\) −0.405540 0.631032i −0.0246804 0.0384034i
\(271\) −9.26399 1.33196i −0.562747 0.0809109i −0.144930 0.989442i \(-0.546296\pi\)
−0.417817 + 0.908531i \(0.637205\pi\)
\(272\) 0.299955 + 0.192770i 0.0181875 + 0.0116884i
\(273\) −23.3297 22.4673i −1.41198 1.35978i
\(274\) 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
\(280\) 0.550400 0.764852i 0.0328927 0.0457087i
\(281\) 3.63436 + 0.522542i 0.216808 + 0.0311723i 0.249863 0.968281i \(-0.419615\pi\)
−0.0330549 + 0.999454i \(0.510524\pi\)
\(282\) −23.7936 + 15.2912i −1.41689 + 0.910578i
\(283\) −4.65000 10.1821i −0.276414 0.605261i 0.719607 0.694381i \(-0.244322\pi\)
−0.996021 + 0.0891200i \(0.971595\pi\)
\(284\) −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
\(287\) 10.7752 2.55739i 0.636043 0.150958i
\(288\) 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 \(-0.653359\pi\)
0.613595 + 0.789621i \(0.289723\pi\)
\(294\) 15.2708 + 3.86582i 0.890609 + 0.225459i
\(295\) −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
\(301\) 6.76640 + 2.37961i 0.390009 + 0.137158i
\(302\) 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 \(-0.962775\pi\)
−0.0258503 + 0.999666i \(0.508229\pi\)
\(308\) −0.940955 10.4003i −0.0536159 0.592613i
\(309\) 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 \(-0.180466\pi\)
−0.999991 + 0.00424676i \(0.998648\pi\)
\(312\) 5.08548 11.1356i 0.287909 0.630432i
\(313\) 2.66868 + 18.5611i 0.150843 + 1.04913i 0.914811 + 0.403881i \(0.132339\pi\)
−0.763969 + 0.645253i \(0.776752\pi\)
\(314\) −6.12037 7.06329i −0.345393 0.398604i
\(315\) −1.80926 + 0.713901i −0.101940 + 0.0402237i
\(316\) −1.44379 2.24658i −0.0812194 0.126380i
\(317\) 0.0226976 0.157865i 0.00127482 0.00886659i −0.989174 0.146747i \(-0.953120\pi\)
0.990449 + 0.137880i \(0.0440289\pi\)
\(318\) −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
\(322\) −2.24856 + 12.4878i −0.125307 + 0.695915i
\(323\) 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
\(329\) −12.2053 30.9321i −0.672898 1.70534i
\(330\) 2.07162 + 2.39078i 0.114039 + 0.131608i
\(331\) −1.16379 8.09436i −0.0639679 0.444906i −0.996484 0.0837790i \(-0.973301\pi\)
0.932516 0.361127i \(-0.117608\pi\)
\(332\) 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
\(336\) 0.536478 + 5.92966i 0.0292673 + 0.323489i
\(337\) −19.9144 + 17.2560i −1.08481 + 0.939992i −0.998416 0.0562693i \(-0.982079\pi\)
−0.0863928 + 0.996261i \(0.527534\pi\)
\(338\) −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
\(343\) −7.94400 + 16.7300i −0.428936 + 0.903335i
\(344\) 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 −0.549571 0.835447i \(-0.685209\pi\)
−0.914005 + 0.405703i \(0.867027\pi\)
\(348\) 9.21999 + 7.98916i 0.494243 + 0.428264i
\(349\) 15.2178 23.6793i 0.814588 1.26752i −0.145927 0.989295i \(-0.546617\pi\)
0.960515 0.278228i \(-0.0897470\pi\)
\(350\) 12.6479 + 2.50296i 0.676057 + 0.133789i
\(351\) 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 \(-0.821047\pi\)
0.407210 + 0.913335i \(0.366502\pi\)
\(354\) −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
\(357\) 2.06552 0.490230i 0.109319 0.0259457i
\(358\) 7.16061 15.6795i 0.378450 0.828690i
\(359\) 26.2762 3.77795i 1.38680 0.199392i 0.591844 0.806053i \(-0.298400\pi\)
0.794961 + 0.606660i \(0.207491\pi\)
\(360\) −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
\(364\) 11.6824 + 8.40688i 0.612326 + 0.440640i
\(365\) 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 \(-0.727188\pi\)
−0.654659 + 0.755925i \(0.727188\pi\)
\(368\) −4.73456 + 0.764151i −0.246806 + 0.0398341i
\(369\) 8.63989i 0.449775i
\(370\) −0.782162 + 2.66380i −0.0406627 + 0.138484i
\(371\) 15.5082 16.1034i 0.805144 0.836048i
\(372\) 5.92465 + 3.80754i 0.307179 + 0.197412i
\(373\) −5.45671 0.784557i −0.282538 0.0406228i −0.000410959 1.00000i \(-0.500131\pi\)
−0.282127 + 0.959377i \(0.591040\pi\)
\(374\) −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
\(378\) −2.57795 + 4.94006i −0.132595 + 0.254089i
\(379\) 3.58972 + 12.2255i 0.184391 + 0.627980i 0.998858 + 0.0477697i \(0.0152113\pi\)
−0.814467 + 0.580210i \(0.802970\pi\)
\(380\) 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 0.716794 + 0.697285i \(0.245609\pi\)
0.588177 + 0.808732i \(0.299846\pi\)
\(384\) −2.04699 + 0.934831i −0.104460 + 0.0477054i
\(385\) −3.23020 + 1.84361i −0.164626 + 0.0939589i
\(386\) −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 0.732910 + 0.680326i \(0.238162\pi\)
−0.984375 + 0.176085i \(0.943657\pi\)
\(390\) −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 \(-0.0302000\pi\)
−0.499720 + 0.866187i \(0.666564\pi\)
\(398\) 8.21097 + 17.9795i 0.411579 + 0.901232i
\(399\) 28.6150 + 36.7616i 1.43254 + 1.84038i
\(400\) 0.693522 + 4.82355i 0.0346761 + 0.241177i
\(401\) −35.4568 16.1926i −1.77063 0.808618i −0.980727 0.195383i \(-0.937405\pi\)
−0.789900 0.613236i \(-0.789868\pi\)
\(402\) 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
\(406\) −11.3186 + 8.81030i −0.561731 + 0.437248i
\(407\) 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 \(-0.230927\pi\)
0.530948 + 0.847405i \(0.321836\pi\)
\(410\) 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 0.683554 + 0.729900i \(0.260433\pi\)
−0.861502 + 0.507754i \(0.830476\pi\)
\(420\) 1.84167 1.05112i 0.0898645 0.0512893i
\(421\) 9.45139 4.31630i 0.460632 0.210364i −0.171562 0.985173i \(-0.554882\pi\)
0.632195 + 0.774809i \(0.282154\pi\)
\(422\) 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
\(427\) 25.6212 + 13.3703i 1.23990 + 0.647035i
\(428\) 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 −0.999032 0.0439789i \(-0.985997\pi\)
0.375008 0.927021i \(-0.377640\pi\)
\(432\) −2.08468 0.299731i −0.100299 0.0144208i
\(433\) −0.0893022 0.0573910i −0.00429159 0.00275804i 0.538493 0.842630i \(-0.318994\pi\)
−0.542785 + 0.839872i \(0.682630\pi\)
\(434\) −5.74362 + 5.96408i −0.275703 + 0.286285i
\(435\) 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 0.406507 + 0.913648i \(0.366747\pi\)
−0.835931 + 0.548835i \(0.815072\pi\)
\(440\) −1.06240 0.920576i −0.0506480 0.0438867i
\(441\) 11.2681 + 9.04407i 0.536574 + 0.430670i
\(442\) 1.91993 + 0.276044i 0.0913218 + 0.0131301i
\(443\) 28.2670 18.1661i 1.34301 0.863098i 0.345838 0.938294i \(-0.387595\pi\)
0.997169 + 0.0751959i \(0.0239582\pi\)
\(444\) −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
\(448\) −0.610969 2.57424i −0.0288656 0.121621i
\(449\) −0.699891 + 0.205506i −0.0330299 + 0.00969845i −0.298206 0.954502i \(-0.596388\pi\)
0.265176 + 0.964200i \(0.414570\pi\)
\(450\) 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
\(455\) 0.995141 5.02862i 0.0466529 0.235745i
\(456\) −9.51947 + 14.8126i −0.445790 + 0.693663i
\(457\) −15.9600 13.8295i −0.746580 0.646915i 0.196112 0.980582i \(-0.437169\pi\)
−0.942691 + 0.333667i \(0.891714\pi\)
\(458\) −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 \(-0.181199\pi\)
\(462\) 7.79641 22.1690i 0.362722 1.03140i
\(463\) −7.51361 + 8.67117i −0.349187 + 0.402983i −0.902988 0.429666i \(-0.858631\pi\)
0.553801 + 0.832649i \(0.313177\pi\)
\(464\) −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 \(-0.0905998\pi\)
−0.840728 + 0.541458i \(0.817872\pi\)
\(468\) 8.48607 7.35322i 0.392269 0.339903i
\(469\) 1.85184 + 20.4683i 0.0855101 + 0.945138i
\(470\) −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
\(476\) −0.877520 + 0.346254i −0.0402211 + 0.0158705i
\(477\) −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 \(-0.127581\pi\)
0.0275864 + 0.999619i \(0.491218\pi\)
\(480\) 0.605719 + 0.524859i 0.0276472 + 0.0239564i
\(481\) −40.6872 11.9468i −1.85518 0.544729i
\(482\) −23.6806 −1.07862
\(483\) −16.2767 + 23.4603i −0.740617 + 1.06748i
\(484\) −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 0.487362 0.873200i \(-0.337959\pi\)
−0.591833 + 0.806061i \(0.701596\pi\)
\(488\) −1.55453 + 10.8120i −0.0703704 + 0.489437i
\(489\) −11.8539 18.4450i −0.536052 0.834112i
\(490\) 0.791948 + 2.36398i 0.0357766 + 0.106794i
\(491\) −1.09295 1.26133i −0.0493239 0.0569229i 0.730551 0.682858i \(-0.239263\pi\)
−0.779875 + 0.625935i \(0.784718\pi\)
\(492\) 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
\(497\) 27.5881 2.49600i 1.23749 0.111961i
\(498\) 2.59065 2.24481i 0.116090 0.100592i
\(499\) −0.421913 0.923861i −0.0188874 0.0413577i 0.899953 0.435986i \(-0.143600\pi\)
−0.918841 + 0.394629i \(0.870873\pi\)
\(500\) 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 \(-0.967082\pi\)
0.243734 + 0.969842i \(0.421628\pi\)
\(504\) −1.81178 + 5.15179i −0.0807032 + 0.229479i
\(505\) 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 \(-0.362934\pi\)
−0.840058 + 0.542496i \(0.817479\pi\)
\(510\) 0.154501 0.240409i 0.00684143 0.0106455i
\(511\) 5.03936 25.4647i 0.222928 1.12649i
\(512\) 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
\(518\) 20.0663 4.76251i 0.881661 0.209253i
\(519\) −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 \(-0.304521\pi\)
−0.890972 + 0.454058i \(0.849976\pi\)
\(522\) 4.64851 + 10.1788i 0.203460 + 0.445515i
\(523\) 9.12480 5.86415i 0.399000 0.256422i −0.325719 0.945467i \(-0.605606\pi\)
0.724718 + 0.689045i \(0.241970\pi\)
\(524\) 2.21860 + 0.318987i 0.0969201 + 0.0139350i
\(525\) 23.5503 + 16.9472i 1.02782 + 0.739635i
\(526\) −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
\(532\) −14.9112 14.3600i −0.646482 0.622585i
\(533\) 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
\(539\) 23.7889 + 14.0518i 1.02466 + 0.605252i
\(540\) 0.211330 + 0.719724i 0.00909420 + 0.0309720i
\(541\) 9.44827 2.77426i 0.406213 0.119275i −0.0722416 0.997387i \(-0.523015\pi\)
0.478455 + 0.878112i \(0.341197\pi\)
\(542\) 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
\(546\) 16.0549 + 28.1299i 0.687086 + 1.20385i
\(547\) −0.649552 + 4.51773i −0.0277728 + 0.193164i −0.998985 0.0450536i \(-0.985654\pi\)
0.971212 + 0.238218i \(0.0765632\pi\)
\(548\) −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 0.147252 0.989099i \(-0.452957\pi\)
−0.137374 + 0.990519i \(0.543866\pi\)
\(558\) 3.49240 + 5.43428i 0.147845 + 0.230051i
\(559\) 6.12647 + 13.4151i 0.259122 + 0.567399i
\(560\) −0.743589 + 0.578805i −0.0314224 + 0.0244590i
\(561\) −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 \(-0.529086\pi\)
0.461621 + 0.887077i \(0.347268\pi\)
\(564\) 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
\(567\) −22.8235 + 17.7656i −0.958496 + 0.746087i
\(568\) 4.34936 + 9.52376i 0.182495 + 0.399608i
\(569\) −0.438292 0.681996i −0.0183742 0.0285908i 0.831945 0.554858i \(-0.187227\pi\)
−0.850319 + 0.526267i \(0.823591\pi\)
\(570\) 6.20731 + 0.892477i 0.259996 + 0.0373817i
\(571\) 6.27740 9.76782i 0.262701 0.408771i −0.684697 0.728827i \(-0.740066\pi\)
0.947398 + 0.320057i \(0.103702\pi\)
\(572\) 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 \(-0.901519\pi\)
0.965923 + 0.258830i \(0.0833369\pi\)
\(578\) 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
\(581\) 1.99773 + 3.50025i 0.0828799 + 0.145215i
\(582\) −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 −0.853895 0.520446i \(-0.825766\pi\)
0.436967 0.899477i \(-0.356052\pi\)
\(588\) −13.5631 8.01150i −0.559331 0.330389i
\(589\) −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 \(-0.396506\pi\)
0.0395264 + 0.999219i \(0.487415\pi\)
\(594\) 6.99321 + 4.49426i 0.286935 + 0.184402i
\(595\) 0.242009 + 0.233063i 0.00992140 + 0.00955466i
\(596\) −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 \(-0.0826961\pi\)
−0.116731 + 0.993164i \(0.537242\pi\)
\(602\) −5.82190 4.18953i −0.237283 0.170753i
\(603\) 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 \(-0.300498\pi\)
0.790946 + 0.611886i \(0.209589\pi\)
\(608\) 3.25039 7.11736i 0.131821 0.288647i
\(609\) −31.4052 + 7.45369i −1.27260 + 0.302039i
\(610\) 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 −0.399522 0.916724i \(-0.630824\pi\)
0.850535 + 0.525918i \(0.176278\pi\)
\(614\) 21.4902 9.81423i 0.867272 0.396070i
\(615\) 2.82227 1.81376i 0.113805 0.0731380i
\(616\) −2.02727 + 10.2441i −0.0816810 + 0.412748i
\(617\) 15.6465 24.3464i 0.629904 0.980150i −0.368813 0.929504i \(-0.620236\pi\)
0.998717 0.0506459i \(-0.0161280\pi\)
\(618\) −11.7765 10.2044i −0.473719 0.410480i
\(619\) 22.2210 + 6.52468i 0.893139 + 0.262249i 0.695928 0.718112i \(-0.254993\pi\)
0.197211 + 0.980361i \(0.436812\pi\)
\(620\) 1.11462i 0.0447643i
\(621\) −6.74492 7.51848i −0.270664 0.301706i
\(622\) 9.79301i 0.392664i
\(623\) 12.7196 36.1680i 0.509598 1.44904i
\(624\) −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
\(630\) 1.93710 0.175256i 0.0771758 0.00698238i
\(631\) −13.8845 6.34086i −0.552735 0.252426i 0.119410 0.992845i \(-0.461900\pi\)
−0.672145 + 0.740419i \(0.734627\pi\)
\(632\) 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
\(637\) −36.1077 + 12.0963i −1.43064 + 0.479273i
\(638\) 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 0.971879 0.235479i \(-0.0756660\pi\)
−0.0947697 + 0.995499i \(0.530211\pi\)
\(642\) 8.53875 + 2.50720i 0.336998 + 0.0989514i
\(643\) −39.5726 −1.56059 −0.780295 0.625411i \(-0.784931\pi\)
−0.780295 + 0.625411i \(0.784931\pi\)
\(644\) 5.67569 11.3484i 0.223653 0.447190i
\(645\) 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 \(-0.180640\pi\)
−0.412045 + 0.911164i \(0.635185\pi\)
\(648\) −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
\(651\) −17.3326 + 6.83913i −0.679317 + 0.268047i
\(652\) 6.38043 + 7.36341i 0.249877 + 0.288373i
\(653\) 1.40557 + 9.77598i 0.0550044 + 0.382564i 0.998665 + 0.0516497i \(0.0164479\pi\)
−0.943661 + 0.330914i \(0.892643\pi\)
\(654\) 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
\(658\) 2.99629 + 33.1178i 0.116807 + 1.29106i
\(659\) 30.1938 26.1631i 1.17618 1.01917i 0.176793 0.984248i \(-0.443428\pi\)
0.999390 0.0349201i \(-0.0111177\pi\)
\(660\) −1.31415 2.87758i −0.0511531 0.112010i
\(661\) 4.80122 3.08556i 0.186746 0.120014i −0.443927 0.896063i \(-0.646415\pi\)
0.630673 + 0.776048i \(0.282779\pi\)
\(662\) −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
\(665\) −2.44609 + 6.95542i −0.0948551 + 0.269720i
\(666\) 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
\(672\) 1.15583 5.84061i 0.0445872 0.225306i
\(673\) −17.9880 + 11.5602i −0.693388 + 0.445613i −0.839289 0.543686i \(-0.817028\pi\)
0.145901 + 0.989299i \(0.453392\pi\)
\(674\) 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 −0.259379 + 0.965776i \(0.583518\pi\)
−0.560027 + 0.828474i \(0.689209\pi\)
\(678\) 7.54738 2.21611i 0.289855 0.0851092i
\(679\) −7.26009 30.5895i −0.278617 1.17392i
\(680\) −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 0.880231 0.474545i \(-0.157387\pi\)
−0.935066 + 0.354474i \(0.884660\pi\)
\(684\) −13.5866 + 8.73156i −0.519496 + 0.333860i
\(685\) 5.44725 + 0.783196i 0.208129 + 0.0299244i
\(686\) 12.3356 13.8142i 0.470975 0.527430i
\(687\) −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
\(693\) 14.9520 15.5259i 0.567979 0.589780i
\(694\) 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
\(700\) −11.4304 5.96488i −0.432027 0.225451i
\(701\) −14.4426 49.1869i −0.545488 1.85776i −0.513173 0.858285i \(-0.671530\pi\)
−0.0323156 0.999478i \(-0.510288\pi\)
\(702\) −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
\(707\) −31.3390 + 17.8865i −1.17863 + 0.672689i
\(708\) −1.80289 + 12.5394i −0.0677568 + 0.471259i
\(709\) −1.44625 + 2.25041i −0.0543151 + 0.0845160i −0.867349 0.497700i \(-0.834178\pi\)
0.813034 + 0.582216i \(0.197814\pi\)
\(710\) 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 \(-0.255964\pi\)
−0.943333 + 0.331849i \(0.892328\pi\)
\(720\) 0.305390 + 0.668711i 0.0113812 + 0.0249214i
\(721\) 14.4569 11.2532i 0.538405 0.419091i
\(722\) −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 −0.716764 0.697315i \(-0.754378\pi\)
0.491274 0.871005i \(-0.336531\pi\)
\(728\) −8.84073 11.3577i −0.327659 0.420943i
\(729\) 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 \(-0.911864\pi\)
0.407475 + 0.913217i \(0.366410\pi\)
\(734\) 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 −0.695649 0.718382i \(-0.744883\pi\)
0.810071 + 0.586332i \(0.199429\pi\)
\(740\) 1.50096 2.33554i 0.0551763 0.0858560i
\(741\) −13.6318 + 94.8112i −0.500776 + 3.48298i
\(742\) −19.4168 + 11.0820i −0.712815 + 0.406832i
\(743\) 26.6877 12.1879i 0.979076 0.447129i 0.139412 0.990235i \(-0.455479\pi\)
0.839665 + 0.543105i \(0.182752\pi\)
\(744\) −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
\(749\) −4.84054 + 9.27581i −0.176869 + 0.338931i
\(750\) 7.83260 1.12616i 0.286006 0.0411215i
\(751\) −3.29145 + 2.85206i −0.120107 + 0.104073i −0.712843 0.701323i \(-0.752593\pi\)
0.592737 + 0.805396i \(0.298047\pi\)
\(752\) −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
\(756\) 3.86530 4.01366i 0.140580 0.145975i
\(757\) 6.25908 21.3165i 0.227490 0.774761i −0.764072 0.645131i \(-0.776803\pi\)
0.991562 0.129630i \(-0.0413790\pi\)
\(758\) 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 \(-0.994347\pi\)
0.850721 + 0.525617i \(0.176165\pi\)
\(762\) −5.06830 4.39170i −0.183605 0.159095i
\(763\) 10.1855 + 7.32964i 0.368739 + 0.265351i
\(764\) −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 −0.575229 0.817992i \(-0.695087\pi\)
0.994892 0.100942i \(-0.0321856\pi\)
\(770\) 3.61876 0.858874i 0.130411 0.0309517i
\(771\) −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