Properties

Label 322.2.k.a.83.2
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 83.2
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.2

$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

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

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 −0.988814 0.149153i \(-0.952345\pi\)
0.00691181 + 0.999976i \(0.497800\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.0506866 + 0.352533i 0.0226677 + 0.157657i 0.998011 0.0630341i \(-0.0200777\pi\)
−0.975344 + 0.220692i \(0.929169\pi\)
\(6\) 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 −0.603505 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 −0.958908 0.283719i \(-0.908432\pi\)
−0.413531 + 0.910490i \(0.635705\pi\)
\(14\) 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 0.576510 0.817090i \(-0.304414\pi\)
−0.503760 + 0.863844i \(0.668050\pi\)
\(18\) 0.293752 + 2.04309i 0.0692379 + 0.481560i
\(19\) 6.58234 4.23021i 1.51009 0.970477i 0.516642 0.856201i \(-0.327182\pi\)
0.993449 0.114275i \(-0.0364546\pi\)
\(20\) 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 0.0437102 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 0.416068 0.909334i \(-0.363408\pi\)
−0.840865 + 0.541245i \(0.817953\pi\)
\(32\) −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 0.743487 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 −0.458027 0.888938i \(-0.651444\pi\)
−0.189031 + 0.981971i \(0.560535\pi\)
\(42\) −4.83266 + 3.47766i −0.745695 + 0.536614i
\(43\) −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 \(-0.630883\pi\)
0.399693 0.916649i \(-0.369117\pi\)
\(48\) 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 −0.189607 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
\(56\) 2.34558 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 −0.719851 0.694129i \(-0.755790\pi\)
0.0531853 + 0.998585i \(0.483063\pi\)
\(60\) −0.793324 0.114063i −0.102418 0.0147254i
\(61\) −7.15317 + 8.25520i −0.915870 + 1.05697i 0.0823063 + 0.996607i \(0.473771\pi\)
−0.998176 + 0.0603634i \(0.980774\pi\)
\(62\) 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 0.978281 + 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 \(-0.987143\pi\)
0.378345 0.925665i \(-0.376493\pi\)
\(74\) −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 −0.547353 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 −0.998254 0.0590667i \(-0.981188\pi\)
0.974459 + 0.224567i \(0.0720966\pi\)
\(84\) 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 −0.986948 0.161037i \(-0.948516\pi\)
−0.0189407 0.999821i \(-0.506029\pi\)
\(90\) −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 \(-0.839321\pi\)
0.703571 0.710625i \(-0.251588\pi\)
\(98\) −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 0.776173 0.630520i \(-0.217158\pi\)
0.567095 + 0.823652i \(0.308067\pi\)
\(102\) 0.729872 0.333321i 0.0722681 0.0330037i
\(103\) −6.64398 1.95085i −0.654650 0.192223i −0.0624935 0.998045i \(-0.519905\pi\)
−0.592157 + 0.805823i \(0.701723\pi\)
\(104\) 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 0.787249 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
\(112\) −1.90572 + 1.83527i −0.180074 + 0.173417i
\(113\) 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
\(119\) −0.551018 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 0.152394 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 0.502487 0.864585i \(-0.332418\pi\)
−0.324351 + 0.945937i \(0.605146\pi\)
\(132\) 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 \(-0.770528\pi\)
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 \(0.0135781\pi\)
−0.999090 + 0.0426439i \(0.986422\pi\)
\(140\) −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 −0.885174 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
\(154\) 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 −0.187890 0.982190i \(-0.560165\pi\)
0.815379 + 0.578927i \(0.196529\pi\)
\(158\) 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 0.105700 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 −0.842742 0.538317i \(-0.819060\pi\)
0.839758 + 0.542960i \(0.182697\pi\)
\(168\) −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 −0.975121 0.221673i \(-0.928848\pi\)
0.940170 + 0.340707i \(0.110666\pi\)
\(174\) −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 −0.848761 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 0.871533 0.490336i \(-0.163126\pi\)
−0.609377 + 0.792880i \(0.708581\pi\)
\(182\) −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 0.103520 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
\(196\) 6.88633 + 1.25635i 0.491881 + 0.0897391i
\(197\) 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 \(0.474347\pi\)
−0.998066 + 0.0621675i \(0.980199\pi\)
\(200\) −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 −0.856910 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
\(217\) 3.83069 + 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 0.999058 0.0433912i \(-0.0138162\pi\)
0.621451 + 0.783453i \(0.286543\pi\)
\(224\) 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 0.881973 0.471299i \(-0.156215\pi\)
−0.592020 + 0.805923i \(0.701669\pi\)
\(228\) 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 0.990609 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
\(238\) 0.744424 + 0.579455i 0.0482538 + 0.0375605i
\(239\) 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 0.914018 0.405674i \(-0.132963\pi\)
0.549597 + 0.835430i \(0.314781\pi\)
\(242\) 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 −0.0860408 0.996292i \(-0.527422\pi\)
0.466254 + 0.884651i \(0.345603\pi\)
\(252\) 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 0.980072 0.198641i \(-0.0636529\pi\)
−0.587827 + 0.808986i \(0.700017\pi\)
\(258\) 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 −0.234808 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
\(266\) 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 −0.426561 0.904459i \(-0.640275\pi\)
−0.962882 + 0.269921i \(0.913002\pi\)
\(270\) −0.405540 + 0.631032i −0.0246804 + 0.0384034i
\(271\) −9.26399 + 1.33196i −0.562747 + 0.0809109i −0.417817 0.908531i \(-0.637205\pi\)
−0.144930 + 0.989442i \(0.546296\pi\)
\(272\) 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 −0.0330549 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 −0.996021 0.0891200i \(-0.971595\pi\)
0.719607 + 0.694381i \(0.244322\pi\)
\(284\) −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 0.613595 0.789621i \(-0.289723\pi\)
−0.463367 + 0.886166i \(0.653359\pi\)
\(294\) 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 −0.0258503 0.999666i \(-0.508229\pi\)
−0.993170 + 0.116680i \(0.962775\pi\)
\(308\) −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 −0.999991 0.00424676i \(-0.998648\pi\)
0.843542 + 0.537063i \(0.180466\pi\)
\(312\) 5.08548 + 11.1356i 0.287909 + 0.630432i
\(313\) 2.66868 18.5611i 0.150843 1.04913i −0.763969 0.645253i \(-0.776752\pi\)
0.914811 0.403881i \(-0.132339\pi\)
\(314\) −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 0.990449 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
\(322\) −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 0.932516 + 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
\(336\) 0.536478 5.92966i 0.0292673 0.323489i
\(337\) −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
\(343\) −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 −0.914005 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 \(0.0897470\pi\)
−0.145927 + 0.989295i \(0.546617\pi\)
\(350\) 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 0.407210 0.913335i \(-0.366502\pi\)
−0.846086 + 0.533046i \(0.821047\pi\)
\(354\) −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 0.794961 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
\(364\) 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 −0.282127 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
\(378\) −2.57795 4.94006i −0.132595 0.254089i
\(379\) 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 \(-0.299846\pi\)
0.716794 0.697285i \(-0.245609\pi\)
\(384\) −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 −0.984375 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 −0.499720 0.866187i \(-0.666564\pi\)
0.995503 + 0.0947337i \(0.0302000\pi\)
\(398\) 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 −0.789900 + 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
\(406\) −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 0.530948 0.847405i \(-0.321836\pi\)
0.748182 + 0.663494i \(0.230927\pi\)
\(410\) 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 \(-0.830476\pi\)
0.683554 0.729900i \(-0.260433\pi\)
\(420\) 1.84167 + 1.05112i 0.0898645 + 0.0512893i
\(421\) 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
\(427\) 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 0.375008 + 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 −0.542785 0.839872i \(-0.682630\pi\)
0.538493 + 0.842630i \(0.318994\pi\)
\(434\) −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 −0.835931 0.548835i \(-0.815072\pi\)
0.406507 0.913648i \(-0.366747\pi\)
\(440\) −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 0.997169 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
\(448\) −0.610969 + 2.57424i −0.0288656 + 0.121621i
\(449\) −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
\(455\) 0.995141 + 5.02862i 0.0466529 + 0.235745i
\(456\) −9.51947 14.8126i −0.445790 0.693663i
\(457\) −15.9600 + 13.8295i −0.746580 + 0.646915i −0.942691 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 \(0.181199\pi\)
−0.842304 + 0.539002i \(0.818801\pi\)
\(462\) 7.79641 + 22.1690i 0.362722 + 1.03140i
\(463\) −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 −0.840728 0.541458i \(-0.817872\pi\)
0.959766 + 0.280800i \(0.0905998\pi\)
\(468\) 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 0.0275864 0.999619i \(-0.491218\pi\)
0.920746 + 0.390163i \(0.127581\pi\)
\(480\) 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 −0.591833 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
\(490\) 0.791948 2.36398i 0.0357766 0.106794i
\(491\) −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
\(497\) 27.5881 + 2.49600i 1.23749 + 0.111961i
\(498\) 2.59065 + 2.24481i 0.116090 + 0.100592i
\(499\) −0.421913 + 0.923861i −0.0188874 + 0.0413577i −0.918841 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 0.243734 0.969842i \(-0.421628\pi\)
−0.994657 + 0.103231i \(0.967082\pi\)
\(504\) −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 −0.840058 0.542496i \(-0.817479\pi\)
0.417421 + 0.908713i \(0.362934\pi\)
\(510\) 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 −0.890972 0.454058i \(-0.849976\pi\)
0.576235 + 0.817284i \(0.304521\pi\)
\(522\) 4.64851 10.1788i 0.203460 0.445515i
\(523\) 9.12480 + 5.86415i 0.399000 + 0.256422i 0.724718 0.689045i \(-0.241970\pi\)
−0.325719 + 0.945467i \(0.605606\pi\)
\(524\) 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 0.478455 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
\(546\) 16.0549 28.1299i 0.687086 1.20385i
\(547\) −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
\(560\) −0.743589 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 0.461621 0.887077i \(-0.347268\pi\)
−0.0912494 + 0.995828i \(0.529086\pi\)
\(564\) 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 −0.850319 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 0.965923 0.258830i \(-0.0833369\pi\)
−0.952520 + 0.304476i \(0.901519\pi\)
\(578\) 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 0.436967 + 0.899477i \(0.356052\pi\)
−0.853895 + 0.520446i \(0.825766\pi\)
\(588\) −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 0.0395264 0.999219i \(-0.487415\pi\)
0.319438 + 0.947607i \(0.396506\pi\)
\(594\) 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 −0.116731 0.993164i \(-0.537242\pi\)
0.966442 + 0.256885i \(0.0826961\pi\)
\(602\) −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 0.790946 0.611886i \(-0.209589\pi\)
0.586519 + 0.809936i \(0.300498\pi\)
\(608\) 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 0.850535 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
\(616\) −2.02727 10.2441i −0.0816810 0.412748i
\(617\) 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 0.197211 0.980361i \(-0.436812\pi\)
0.695928 + 0.718112i \(0.254993\pi\)
\(620\) 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 −0.672145 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
\(637\) −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 −0.0947697 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 \(-0.784931\pi\)
−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 −0.412045 0.911164i \(-0.635185\pi\)
0.843249 + 0.537523i \(0.180640\pi\)
\(648\) −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 −0.943661 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
\(658\) 2.99629 33.1178i 0.116807 1.29106i
\(659\) 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 0.630673 0.776048i \(-0.282779\pi\)
−0.443927 + 0.896063i \(0.646415\pi\)
\(662\) −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 0.145901 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 \(-0.689209\pi\)
−0.259379 0.965776i \(-0.583518\pi\)
\(678\) 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 −0.935066 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
\(686\) 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 \(0.134311\pi\)
−0.912292 + 0.409541i \(0.865689\pi\)
\(692\) 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 −0.0323156 + 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
\(707\) −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 0.813034 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 −0.943333 0.331849i \(-0.892328\pi\)
0.693735 + 0.720231i \(0.255964\pi\)
\(720\) 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 0.491274 + 0.871005i \(0.336531\pi\)
−0.716764 + 0.697315i \(0.754378\pi\)
\(728\) −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 0.407475 0.913217i \(-0.366410\pi\)
−0.961911 + 0.273363i \(0.911864\pi\)
\(734\) 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
\(742\) −19.4168 11.0820i −0.712815 0.406832i
\(743\) 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
\(749\) −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 0.592737 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
\(756\) 3.86530 + 4.01366i 0.140580 + 0.145975i
\(757\) 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 0.850721 0.525617i \(-0.176165\pi\)
−0.999842 + 0.0177578i \(0.994347\pi\)
\(762\) −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 0.994892 + 0.100942i \(0.0321856\pi\)
−0.575229 + 0.817992i \(0.695087\pi\)
\(770\) 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 −0.978603 0.205759i \(-0.934034\pi\)